diff --git "a/data/dm_maths/full_data_1/1563_11255.jsonl" "b/data/dm_maths/full_data_1/1563_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1563_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(d) be the third derivative of -3*d**6\/8 - 11*d**5\/2 - 95*d**4\/6 - 20*d**3 + 15*d**2. Determine h, given that t(h) = 0.\nAnswer: -6, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - o = 53, 22*o = -2*m + 18*o - 32 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (98\/4)\/((-10)\/(-20)) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -956.\nAnswer: 3\/956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 4, -5, 117, 5, 3 in decreasing order.\nAnswer: 117, 5, 4, 3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - g + 4. Let u be f(0). Find the third derivative of -r**4 + 5*r**3 + r**3 - u*r**3 + 9*r + 7*r**2 - 9*r**2 wrt r.\nAnswer: -24*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4568*z**2 + 3426*z. Let i(b) = b**2 - b. Calculate -3426*i(w) - q(w).\nAnswer: 1142*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from jvjvvj.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 5 + 5)*(-3 + 3 + 13*w - 4*w + 0*w + 12*w - 2*w + 4*w + 0*w + (w + w - w)*(0 + 3 - 2) + 5*w - 5*w - w + 2*w - 1 + 1 - 2*w - 1 + 1).\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 495*q**2. Let x(w) = -116*w**2. Determine x(l(z)).\nAnswer: -28422900*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 187019680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -6.84. Let u = -0.05 + k. Let d = 0.2109 + u. Round d to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/4 + 63*h**2\/4 + 240*h - 256 = 0. What is h?\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/11 + 52*a**3\/11 - 30*a**2 = 0.\nAnswer: 0, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = r - 49 + 13, 0 = 3*r - 5*i - 108. What is the highest common divisor of r and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -235 + 21?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -5. Let z(o) = -o - 2. Let x be z(5). Let t = 10 + x. Solve -u - 3 = -g, -4*u + t*g = w + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2 - 65937*b + 2576106 = 0.\nAnswer: -22018, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.1, 1.7, -4, -2\/5, -73\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 3, 64996 in decreasing order.\nAnswer: 64996, 50, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 14*n**2 - 22*n - 221. Let d(p) = -8*p**2 + 12*p + 111. What is 11*d(a) + 6*u(a)?\nAnswer: -4*a**2 - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -5. Solve -4*w - 2*p = o, 2*w + p + 16 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -117, -264, -465?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 7692491014*b**3 - 4*b**2 - 7692491038*b**3.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2292288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233201 - 3002?\nAnswer: 230144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1610 times -18374\nAnswer: -29582140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -20469\nAnswer: 4\/20469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 405592527*f*t**5 + 3*f*t - 336187*t**2 - 4 wrt t.\nAnswer: 24335551620*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4557*b - 37. Let r(q) = 3036*q + 26. Determine 10*r(v) + 7*z(v).\nAnswer: -1539*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*f - 2*j = -465*f + 17, 2*j - 1 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + 33. Let w(y) = -7*y - 1. Let k be w(-1). Suppose 6*a = 3*a + k. Solve -3*c = -a + o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572983051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 19 - 181. Suppose -r - f = -4*y, -2*y - r = 3*r. Solve -2*j - 4 = y*w, 4*w - 1 = 3*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (18 - (-10 - -22)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 91 - 19. Let j be q\/4 + (2 - 6 - -1). Let r(v) = v**3 - 13*v**2 - 18*v - 1. What is the tens digit of r(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhnj when four letters picked without replacement from jjhjjhnjjyhnhnn?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3\/(u\/u**2)*u**(-6)\/(u**3*u)*((u*u**(-2\/21)*u)\/(u\/(u**(-1\/8)\/u)))\/((u**(-1\/10)\/u)\/(u\/(u\/u**5*u)*u)) assuming u is positive.\nAnswer: u**(-101\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, -4, -3 in increasing order.\nAnswer: -4, -3, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -17. Let y(t) = 3*t - 54. Let p be y(u). Let v(s) = s**2 + 2*s + 2. Give v(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 divided by -15?\nAnswer: -177\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r**3 - 622*r**2 - 1257*r - 42. Let u(d) = -4*d**3 - 312*d**2 - 629*d - 18. Let h(n) = -3*o(n) + 7*u(n). Find c such that h(c) = 0.\nAnswer: -316, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*q + 425*q + 12 = 0. Sort q, -2, -3, -98.\nAnswer: -98, -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 - -0.54653.\nAnswer: 200.54653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8161 (base 14) to base 3\nAnswer: -1010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 1\/4 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 - -21. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 2, k: 1, r: 1}. What is prob of sequence ka?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = -27*p - 15, 4*p - 3 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81038, -76803, -72580, -68375, -64194, -60043, -55928?\n\"Answer: -a**3 + 4242*a - 85279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (-68)\/12)*(-18)\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 7544?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:01 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 24347*t + 121742. Calculate k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 8) + (-13 - -17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/27 + (-546)\/(-27). Let r = 4 - x. Let m be (-2)\/(-4)*(6 - r). What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 + z - 2. Let x = -2 - -4. Let m be c(x). Let u be (m\/165)\/(2\/(-3)). What is the nearest to -1 in u, 5\/6, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 22. Let f(x) = -56*x**2 + 48*x - 8. Let h(n) = -19*n**2 + 18*n - 3. Let w(z) = 3*f(z) - 8*h(z). Give m(w(b)).\nAnswer: -256*b**4 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037818 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(d**2 - 1 + 1) - 5 + 5 + 2*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 4*n**2 - 5*n + 6. Suppose 0 = 5*r - r - 20. Let q be b(r). Let p be (15\/6 + -2)*q. Solve -5*z = l + 2, 0 = -p*l - 0*l + 2*z + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)*o)**11\/(((o\/o**(-2))\/o)\/(o\/o**(-5\/4))) assuming o is positive.\nAnswer: o**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53\/7 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*p + 36. Suppose 4*o + 12 = -4*d, 6*d = 7*d + 3*o + 9. Solve d = -h + 5*h - p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-9) + -3)*-3. Suppose l*q - 140 = 4*x + x, -24 = -q + 3*x. Round q to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 + 1459336*r\/7 - 266207695112\/7.\nAnswer: -2*(r - 364834)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84448 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3) + (-54)\/6 + 167. Let t = v - 156. Solve t = -2*p + 5*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c**4 + 6*c**4 + 2*c**4 + ((4*c - 4*c - 2*c)*(0*c**3 - 12*c**3 - 8*c**3) - c**4 - 3*c + 3*c)*(3 - 4 - 1).\nAnswer: -83*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10869*h**2 - 30125*h**2 - 96111*h**2.\nAnswer: -137105*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*v + 25, -2*t - 5*v + 6*v + 5 = 0. Suppose t = -7*q + 3*q + 8. Factor 1\/3*u**3 - 1\/3 - u**q + u.\nAnswer: (u - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -871 + (4 - 6). Let a = -555 - j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -9. Let b(x) = 3*x**3 - 3*x**2 + 5*x - 3. Let g(t) = 2*t**3 - 3*t**2 + 4*t - 2. Determine c*g(r) - 4*b(r).\nAnswer: -2*r**3 - 3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(-6*sqrt(1539)*3 + -1)*1 + 0)*5.\nAnswer: 25 + 4050*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 2)*(-44 + -2). Let f be (-3)\/5 - j\/(-10). Factor -4*t**f + 0*t + t**4 - 3*t**3 + 3*t + 3*t**2.\nAnswer: -3*t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:01 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 4:34 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*g + 1003 = 22*g + 15476 + 12203 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 430, 412, 390, 370, 358, 360?\n\"Answer: u**3 - 8*u**2 - u + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, 16, 70, 2.15 in increasing order.\nAnswer: 0.5, 2, 2.15, 16, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -3*f**2 - 1\/3*f**3 - 1\/20*f**5 - 2\/3*f**4 - 121*f + 0. What is v(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.32304648 - -9\nAnswer: 8.67695352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -8*k + 12*k + 51014, -2*v - 2*k + 34028 = 0. Is 35 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16*370\/((2\/250)\/1). Round k to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (35\/20)\/((-1)\/(-4)). Suppose 2*y + r = 15. Suppose 0 = j - 2, -3*h + y*j + 992 = 2*h. What is the greatest common factor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*j - b - 28, -2*b = -j + 4. Calculate the smallest common multiple of (8\/(-3))\/2*-15 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -77*w**4\/3 + 55*w**2\/2 - 27*w + 18. Let j(y) = 22*y**2 - 4. Give 55*j(t) + 4*q(t).\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 31 - 6)*(3*t - 2*t + t)*(98 + 18 + 101 + t).\nAnswer: -64*t**2 - 13888*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 9. Let m be v(-6). Let c = 2 - m. Solve 7 = c*j - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -4*q**3\/3 + 10*q**2 - 27*q - 19. Determine x(8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 7:42 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = 15*d - 11*d. What is the greatest common divisor of 132 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54994300.\nAnswer: 2, 5, 549943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 9 = 0, 47*x + 41 = 13218*v - 13213*v + 45*x for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5 + 32*s**4 + 162*s**3 + 364*s**2 + 376*s + 144 = 0. Calculate s.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 223229734 a multiple of 3561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*((-2*n + 4 - 4)*(3*n - n + 0*n) + (n**2 - 6*n**2 + n**2)*(-6 + 0 + 3)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3788860 - -12388860. Round y to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14782 is divided by 685?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*o = -514, -3*r + 3*o = -1518 - 114. Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 3*h**3 + 9 + 5*h**2 - 4 + h + (1 - 4 + 2)*(-4*h - h**3 + 4*h) + (3*h**2 + 1 - 1)*(-7*h + 7*h - 2*h) to n*h + y*h**2 + l + x*h**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = g + 13, -2*p = 2*p - 5*g - 50. Solve -3*r = -6 + p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 28, -4, 2.\nAnswer: -4, 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 + 5*z**2 + 5*z - 2. Let v be r(-5). Let t = v - -5261\/19. Let d = -376 + 1129\/3. Which is the nearest to 1\/3? (a) d (b) t (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2018 + 2018 - 381*s**2 + (-5 + 5 + 2)*(0*s**2 + 3*s**2 - s**2) + 5 - 3 - 5 + 13*s**2 to l*s + p + h*s**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22233+19.8\nAnswer: 22252.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 23*o - 30. Let d be g(-15). Let w = d + -81. Which is greater: 10 or w?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 717 divided by 39735\nAnswer: 239\/13245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -32, -68, -116, -176, -248?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) + 4\/3. Suppose 33*i = 3*i + 300. Which is greater: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*g - 247 = 0, 9*g - 1255 = -5*w + 4*g. What is the remainder when w is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000773 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*x + 256, -2*o + 0*o - 178 = -x. Calculate the common denominator of -101\/28 and 6\/(-36) + o\/(-18).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 18 + 24 + -16 + 6\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)\/(sqrt(1100) + sqrt(11)) - (sqrt(7) + -4 + sqrt(343) + sqrt(343))) + 2)**2.\nAnswer: -1968*sqrt(7)\/11 + 192628\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-84)*-2)\/((-1)\/(-3))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 222 = -2*p, 71*v - 140*v + 66*v - 158 = 5*p for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 2. Let y(a) = a**3 - 4*a**2 - 5*a - 3. Let t be y(5). Let i be m(t). Is 39 + (-2 - (1 - i)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-2) + (-9 - -8). What is the smallest common multiple of 1 and (-1 - 4\/i) + (29 - 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r + 3*r - 5*r)*(-r - r + 3*r) + 2*r**2 + 0*r**2 - 4*r**2 + 23300*r**2 + 13642*r**2 - 12800*r**2 in the form y*r**2 + f + d*r and give y.\nAnswer: 24141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-28)\/(-8))\/7. Suppose m*b + 2*b = 76. Suppose -b = -g + 2*i, g = -i + 6*i + 16. Solve -5*o = 3*l + g, 5*o = -4*l - 22 - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = r - 0 + 3, -r + 1 = 0. Suppose -2*k + 17 = 4*a - o, 0 = -5*k - 4*a + 33. Suppose k*x + 5*m - 154 - 6 = 0, -4*m = -3*x + 103. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -89. Let q = -88 - y. Solve -2*f - 12 = -4*f + d, q = -f + 4*d + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeejjejeeeee. Give prob of sequence jeee.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 32*d - 42. Let f(r) = 32*r - 41. Let h(g) = 5*f(g) - 4*q(g). Differentiate h(b) with respect to b.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 2659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 3, -1 in decreasing order.\nAnswer: 44, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101100101 + 11000110110010?\nAnswer: 11110100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5 + 8092*t**4 + 261888*t**3 + 2367360*t**2 + 27648*t - 56816640 = 0. What is t?\nAnswer: -12, 4, 2055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = 30*y + 305283. Suppose -5*f = 93239 + y. What is f rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -314849024 by 4.\nAnswer: -78712256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/644459?\nAnswer: 2\/644459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - s)*(-3*s + 3*s - 2*s)*(-632*s + 116 + 117 - 235).\nAnswer: 3792*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 296334356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4021051182070 take away -21?\nAnswer: -4021051182049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5))**30\/((b**(-5)\/b)\/(b\/(b\/b**(4\/3)))))**(-47) assuming b is positive.\nAnswer: b**(658\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*c - 1. Suppose 0 = -y - 10 + c. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = -5*z - 2*b + 141, -2*b - 144 = 2*z. Let h(k) = 5*k**2 - 10*k. Let t be h(6). Let i = t + z. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from jjmwjojpejjpjpmj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 222 = -3*h, 8*h + 130 = 3*x + 3*h. Suppose -2*q + 25 = -85. Let k = q - x. Is k greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1017.4 + -1016. Sort 2, 3, n, 0.2 in ascending order.\nAnswer: 0.2, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 15*d + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39360 divided by -320?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 912 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 2. Let g be u(-3). What is the units digit of 2 - (g + (-69)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 3*q - 3, 5*p + 174 = -4*q + 214 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 108.659 from -5275356612.\nAnswer: -5275356720.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 280 + -49. Calculate the greatest common factor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315 minus -27.538?\nAnswer: 1342.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10452*c**2. Let s(k) be the second derivative of -k**4\/12 - 3718*k - 1. What is i(s(y))?\nAnswer: 10452*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 42*m**2 - 41*m - 84. Let q be v(43). Solve -8 = 5*z + q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 13*v - 164. Let k be t(20). Calculate the highest common factor of 15 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5\/5 - 16*p**4 - 1224*p**3\/5 + 1382*p**2\/5 + 1223*p\/5 - 1302\/5 = 0?\nAnswer: -14, -1, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 83734595*z - 167469170.\nAnswer: -5*(z - 16746917)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 1336148?\nAnswer: -1336146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(-52) - (-1)\/(12\/(-2667117)). Round x to the nearest one thousand.\nAnswer: -222000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -32*a**2. Let y(m) = 4 + 4*m**2 - 3 - 5*m**2 - 1. Give y(q(j)).\nAnswer: -1024*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 6*q**2 - q - 5. Let u be b(-6). Let w(v) = -u + 9*v + 3 + 0 - 3*v + v**2. Determine w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - n + 3, n = 2*y - 357. What is the remainder when y is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-2)\/((-2)\/(-5)). Suppose -d - 224 = -w*d. Suppose 0 = -3*u - 15, -x + 4*u = -5*x + d. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/11 - 20758*x\/11 - 218400\/11.\nAnswer: 2*(x - 5200)*(2*x + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4584, 20044, 45802, 81852, 128188?\nAnswer: 184804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124409 = 48*s - 335*s + 16795. Calculate the highest common factor of s and 6232.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.035, 0.7, 0.1, 3?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 j, and 1 b when three letters picked without replacement from fvfavbfvbvjjvvvbfvj.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 295 + 2*i**2 + 3*i**2 + 5*i - 312. List the prime factors of m(4).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1782828\nAnswer: -356565.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/5 - 551\/40. Sort k, -3, -5, -2\/15 in decreasing order.\nAnswer: -2\/15, k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6931 = -934*c + 24086 + 11799 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4954792?\nAnswer: 2, 31, 19979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12 or -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 - -0.04. Let c = 77.73 - 77.99012. Let x = g + c. What is x rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21262\/3 - 6713. Let d = -374 + u. Let 7\/6*c**2 + d*c**3 + 1\/3 + 7\/6*c = 0. Calculate c.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 1. Let b = 5 - 3. Let m = b + -9. Is 7 a factor of l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141.7 times -0.8\nAnswer: 113.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -27966651?\nAnswer: -699166275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -127349450496 take away -5127?\nAnswer: -127349445369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 3*p**2 + 1. Let j(h) = 3*h**3 + 5*h**2 + h - 1. Let l(k) = j(k) + z(k). Calculate l(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4390 + -4355. Calculate the greatest common factor of 3815 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14665 + -3?\nAnswer: 14662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let h(i) be the second derivative of -i**4\/4 - 2*i**2 + i. Let c(s) = 7 - 18 + s**2 - 9*s**2. Let g(f) = -4*c(f) + 11*h(f). Calculate g(y(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihh when three letters picked without replacement from {i: 2, j: 4, h: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-1 - -7) - (0 - (38 - 10))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v**3 + 12*v**2 + 66*v - 4. Let i(d) = d**3 - 2*d**2 + 3*d - 1. Give 6*i(t) + u(t).\nAnswer: -2*t**3 + 84*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 545646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2 - -1) + 1)\/(-3))\/(-2). Suppose q*v = -2*v + 594. Let a = v + -202. What are the prime factors of a?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/14)*j**(-1\/2)\/j*(j\/(j**0*j*j))\/((j\/(j\/j**3))\/j))**(-2\/17))**(-1\/7) assuming j is positive.\nAnswer: j**(-64\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**2 - 6010*k - 1671775 = 0.\nAnswer: -233, 1435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81694\/101 or -809?\nAnswer: -81694\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let y be (-1)\/(-42)*(1 - -2). Which is bigger: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/15 - (-321)\/(-15). Let t = x - -19. Let u = -123 + 128. Sort t, u, 26 in descending order.\nAnswer: 26, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let u = -2 - -1.7. Let f = -95\/56 + 9\/8. Which is the second smallest value? (a) f (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 7:56 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 13. Let p be q(-3). Suppose 4*c = 6*c. Solve c = p*o - u - 3, -2*o - 5*u = 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*((2 - 1) + -2). Calculate the remainder when (-198)\/27*(-6)\/j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 875*z - 346. What are the prime factors of p(5)?\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -114029.9397.\nAnswer: -114029.7397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-35)*-14)\/((-46)\/115).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s*s**(4\/5)*s*s))*s*s*s\/(s**5\/s*s)*s)\/(s\/s**(-7)*(s\/s**(-1))\/s))\/((s**(-1\/2)\/s**(-2\/3))\/(s*s*s*s\/(s**(1\/3)\/s)*s)**14) assuming s is positive.\nAnswer: s**(2159\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 19*o - 18. Calculate f(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117\/2 - (-4)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -354975*n*p**2*s - 2*n*p - 9*n*s**2 + 3*p**2*s**2 - 80365*p*s**2 wrt n.\nAnswer: -354975*p**2*s - 2*p - 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15955 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-2*z - 3*z - z) + 0 - z + 0.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30470 and 98.\nAnswer: 1493030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 41 = -5*i, -172*x = -169*x + 4*i + 35 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from phh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442864 is divided by 1870?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 50 - 10. Suppose -o*j - 4*i = -20, -i = -j + 3*i + 25. Suppose 3*f - f = 2. Solve -f = -4*n - j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7731 - -0.5731. Suppose g + 4*o + 184 = 4*g, 0 = -3*g + o + 181. Let j be 4\/(-10) + 39\/g. What is the nearest to -1 in j, c, 3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.18 - 0.88. Let b = -0.4 - j. What is the nearest to 1 in b, 6\/7, 3\/2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(11) + 0 + sqrt(1100) + sqrt(11) + sqrt(11))**2.\nAnswer: -78*sqrt(11) + 1868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*o - 6831, 108*k - 113*k + 8532 = -4*o. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 2*a + 11, -19 = -4*z - a - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113762 + 14*o**3 - 56891 - 56871.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o\/(o\/(o*((o*o**3)\/o)\/o)))))**(2\/19)*o\/(o\/(o**(-4\/5)\/o))*o*o**(-2) assuming o is positive.\nAnswer: o**(-226\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 392471671*i**5 + 3*i - 10159879?\nAnswer: 7849433420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s - 5 = n + 28*s, -2*s = n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*s + 8 = 0, 5675*s - 5671*s - 4 = 5*g. Let z(c) = c**3 + c**2 + c + 1. Let p(b) = -2*b**3 - 10*b**2 - 2*b - 5. Determine g*z(h) - p(h).\nAnswer: -2*h**3 + 6*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/18*-2*-1. Let y = 0.1 + -0.1. Sort 0.3, y, l in increasing order.\nAnswer: y, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -39613*d - 1228012. Give x(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103201 + -11?\nAnswer: 103130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 12:21 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {n: 4, p: 5, a: 4, w: 1, j: 1, q: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -76*b**2 - 187 - 5*b**3 + 18*b**4 + 5*b**5 + 167 - 3*b**4 + 21*b**2 - 60*b = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8824679?\nAnswer: 8824679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 3*n**2 + 6*n - 5. Let c be o(4). Let i(r) = -c*r + 3 - 2 + 2*r. Let x be i(-4). Calculate the highest common factor of x and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6014 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 4.755946\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184782?\nAnswer: 2, 3, 13, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1438.2 * 0.4.\nAnswer: -575.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**5\/5 - 4*g**4\/7 + 11*g**3\/21 - g**2\/7 - 94. Factor i(p).\nAnswer: p*(p - 1)**2*(7*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201425 (base 8) to base 9.\nAnswer: 110874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j. Suppose 522 = 31*k + 57. Let c(q) = 11*q - 42*q + 17*q + 3 - 6 + k*q. Calculate c(i(p)).\nAnswer: -6*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 487*l = -484*l + 3, -2*l = 2*s + 2. Solve 10*y**3 - 8\/3*y**2 + s - 8\/3*y = 0 for y.\nAnswer: -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1561*v + 18599 = -25230 - 12113 + 7551 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 48 * 5\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -15\/2*t**2 + 3 + 9\/2*t = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 (base 11) to base 13\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278712.\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*p = 3, 4*f - 29 = -p - 12. Solve -2*c - 16 = -5*a - 3, -f*c - 10 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(40\/24)*(-4)\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*i + 182, 0*i - 3*i = 3*l - 141. Suppose 15 = 4*p + 4*w - i, 4*p - 64 = -2*w. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 737 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-360))\/(6\/54)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419291 + 419283 - 838574 - 35*u + 37*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9721*m = 519052 + 404443 for m.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n + 9. Calculate k(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2996)\/130 + (0 - 2). Let m = f - -126\/5. Sort m, 2\/7, 3.\nAnswer: m, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k**3 - 4*k**2 - k - 1. Suppose 0 = -5*w + 25, -20 = 5*r + 4*w - 55. Is p(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 144*p**2 - 147*p - 115. Give z(-73).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335127*f**5 + 256802*f?\nAnswer: 6702540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 3)\/((290\/319)\/(-5)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.014293 times -9570\nAnswer: -136.78401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 5, -5, 1, 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8848, -17694, -26540?\nAnswer: -35386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 10*m**2 + 3. Let d be l(10). Suppose -9 = -d*x + 39. What is the greatest common divisor of x and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*r + 6 - 22, 4*s - 19 = -3*r. Let v(n) = -n**2 + 6*n - 4. Let w(b) = b**2 - 6*b + 4. Let a(g) = 3*v(g) + 2*w(g). What is a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333.292 at least as big as -2.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Let p = 15 + v. Suppose -f - 2 = -p. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 (base 10) in base 14?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.01 (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20*v - 24. Let x(c) = -6*c + 9. Let y(g) = 4*w(g) + 11*x(g). What is y(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -409*o**2 - 204*o - 9217. Let c(n) = -1159*n**2 - 612*n - 27652. Let u(a) = 6*c(a) - 17*r(a). What is the derivative of u(g) wrt g?\nAnswer: -2*g - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 321296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*v**2 - 338*v**2 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 19 + 19 - 16.\nAnswer: -o + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from ffzcvvicpvfvzp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1057, 2120, 3185, 4252, 5321, 6392?\nAnswer: 7465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*g + o - 4*o, 1 = o. Suppose -4*d + 4 = -3*d, -4*d - 4 = -5*u. Suppose g = -u*j - 5*z, -3*j = -4*j + 4*z + 12. Which is bigger: -3\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/14*(-8155)\/139800.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7441000 rounded to the nearest one hundred thousand?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -631*p**2 - 839*p**2 - 23081*p - 6171 + 23080*p wrt p.\nAnswer: -2940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -1\/8, -1, 0.3, 3, 175?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*u + 3*u - 4*m, 12 = -2*u - m. Let x(y) be the second derivative of -y**3\/6 - 2*y. Let l(g) = g. Calculate u*x(d) - 5*l(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -838860148*b**3 - 44*b**2 + 2199553 wrt b.\nAnswer: -5033160888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.006 + -5.994. Let d = a + 2. Put 1, 0, -0.4, d in descending order.\nAnswer: 1, 0, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1526*u + 2490*u + 61696 = 0 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 + -135. Let o be 0 + -1 - (-63)\/65. Let w = -59\/195 + o. What is the third smallest value in -0.6, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - 4*d + 16*d)*(-2 + 1 + 2) + d + d + d)*(13*d**3 + 17*d**3 - 3*d**3).\nAnswer: 432*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -41808?\nAnswer: -41814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 11:51 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2382, 2391, 2400?\nAnswer: 2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24908172643 and -147.1.\nAnswer: -24908172790.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccvcccv. What is prob of sequence vv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 1014 = -10*t. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)*k**(2\/3))\/((k\/(k*k**(-6)))\/k**1) assuming k is positive.\nAnswer: k**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 2}. Give prob of sequence hx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*x - 615 + 3255 = 63*x - 7*x for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5 - 36*h**4 + 75*h**3 + 480*h**2 + 108*h - 624 = 0 for h.\nAnswer: -13, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(500)*-5*3)**2.\nAnswer: 1012500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000264 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43145 (base 6) to base 10.\nAnswer: 5897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1001 - 2071\/2. Find the common denominator of q and 38\/273.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3555136 (base 9) to base 14\nAnswer: 381d2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -4, -1\/92, -18791?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-90)\/(-4) - 4)*2. Suppose h*v = 28*v + 90. Solve 8 = -2*g, -5*s + 3*g - v = -27 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 18*x**2 + 48*x - 2. What is the remainder when 52 is divided by l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**6\/120 + 2*f**3\/3 - 3*f**2\/2 + 1. Let a(m) be the second derivative of i(m). What is the first derivative of a(l) wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -57*d**5\/5 + 16*d**3\/3 - d**2\/2 - 37. Find the third derivative of c(v) wrt v.\nAnswer: -1368*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40524 + -22?\nAnswer: 40502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314, -1287, -2910, -5183, -8106?\nAnswer: -11679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*r + 5*r. Suppose 5*h - 35 = -d - 3, h - 3*d = 0. Solve -h = 2*t - r*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = -2, -3*q - 54 = -4*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 27. Let w be h(10). Let u(r) = -2190 + r**3 + r - 2*r - w*r**2 + 2192. What is u(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*d + 20*d - 108. Let h(c) = -7*c - 54. What is the smallest common multiple of h(d) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608081917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441.883423 rounded to the nearest integer?\nAnswer: -1442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -272*t**3 - 2*t - 2. Let x(c) = c + 6. Let d be x(-7). Let j be v(d). Is (j\/(-20) - 3)*-5 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -41?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - 4 - (-22 - -73).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 7*k**2 - k**2 - 2 - k**2 - 3*k. Let u be s(-1). Let h = -9 - u. Solve 4 = z - h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -804720 divided by -168.\nAnswer: 4790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 645.97 + -649. Let a = h + 0.03. Suppose -28 = 2*o - 5*s - 8, 0 = o + 5*s - 5. What is the closest to 2 in a, o, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 1665 - 399. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26 + 0.04. Let k = -104.4 + 104. Let g = k + n. What is the smallest value in 5, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - f + 2)*(-262 + 260 + 11*f**4 - 2*f**4).\nAnswer: -9*f**5 - 27*f**4 + 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-8)\/(360\/(-27))*3950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*l - 3*s + 4, l - 14 = -2*s. Suppose -2*a + 0*h - 5*h = -l, 2*a + h = 24. What is the remainder when 23 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/28917 and -40\/357?\nAnswer: 28917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -73 + 50 + 27 + (-12)\/5. Factor 8\/5 - 2\/5*g**2 + 2\/5*g**3 - k*g.\nAnswer: 2*(g - 2)*(g - 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*f + 920375, 0 = -3*w + 2*f + 63559 + 488670. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + t - 4 = 0, -u = 2*u + 2*t + 14. Let q be -1 + -1 + (-2)\/u. Let j = 4 - 5. Is j > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170257260 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 9*f**2 - 8*f - 4. Let d be n(3). Calculate the greatest common factor of 936 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - g)*(-2 + 0 + 0) + (-6*g + 2 - 2)*(1 - 1 + 3).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*f - 12, 4*x + f - 4 = 6. Suppose -x*o - 1 = -2*o, -2442 = -4*j + 2*o. Round j to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-467*s - 43*s - 15 + 28 - 15)*(14 + 8 - 39).\nAnswer: 8670*s + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -19084694\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/(-42)*(-4)\/42?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*6\/(-14616))\/(39\/(-585))*3\/(-15)?\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(57\/152)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 + 0.06. Let h = 90.039 - 90. Let g = b - h. What is g rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28075, -27846, -27465, -26932?\nAnswer: -26247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1370 - -965. Let w = h - -404.8. Put -0.01, w, -0.7 in decreasing order.\nAnswer: -0.01, w, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 21 = 22*m + m. Let p(d) = -10*d**2 - 3*d + 2. Let f(g) = 9*g**2 + 2*g - 1. Determine m*f(n) + 2*p(n).\nAnswer: 7*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/5)\/((8\/500)\/2). What is the highest common divisor of 20 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**4 - a - 1. Let d(k) = -10*k**4 + 5*k. Let m(l) = d(l) + 5*n(l). What is the first derivative of m(s) wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 2, v: 4, s: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 14*r + 25. Let u be j(17). Let n = u + 28. Factor 2*z**2 - 3*z**3 + n*z**4 + z**4 - 2*z**4 + 0*z**4.\nAnswer: z**2*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -31999.\nAnswer: -31997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -27*o + 509. Let w(y) = -5*y + 102. What is -2*j(z) + 11*w(z)?\nAnswer: -z + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-5 + (2 - 2) + -187 + 195)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*c = 3203, 74*c + 1597 = -2*d + 81*c. What is the second biggest value in -1\/4, 0.1, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -81, -4 in decreasing order.\nAnswer: 2, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejlllhlhllhljl. What is prob of picking 1 j and 2 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 3*n**2 + 11*n + 1. Let u be s(5). Suppose j + 3*j = 0. Suppose -15 = z + 5*y, j*y - 3*y = 2*z + 9. Solve z = -t - u + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38340 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 180 = -2*i + 194, 7 = -5*i + 2*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110110011100 - -100?\nAnswer: 10010110110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 1\/7*b**2 + 43\/7*b - 44\/7 = 0?\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/26904 and -123\/6905360?\nAnswer: 20716080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 18 = 2*d, 4*o - 5*d + 13987 = 14024 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 - 436*w**2 + 437*w**2.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28839 divided by -33.\nAnswer: -9613\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39606, -39959, -40286, -40575, -40814, -40991?\n\"Answer: 2*h**3 + h**2 - 370*h - 39239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231881511 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 153*l - 19. Let k(i) = 7802*i**2. Give q(k(n)).\nAnswer: 1193706*n**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 12. Let d(v) = -v + 5. Let c be d(11). List the prime factors of c*(4\/h - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564.81 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6330 and -69\/10.\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 0 + 2*n + 12.\nAnswer: 2*n + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, s: 3, m: 7, x: 3}. Give prob of sequence sxxc.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*i - 4*s - 16 = -126*i, i - 3*s + 2 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 minus 2493?\nAnswer: -2661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - (-27)\/36. Let x be j*(14\/2 + -1). Calculate the smallest common multiple of 2 and (-18)\/(-10) - x\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:45 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 98.50218 nanometers?\nAnswer: 0.09850218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62217 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.3 - -25. Sort -3, i, 0.1 in descending order.\nAnswer: 0.1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2*t - 6 - 2*t - 3*t + 6*t + 2*t - 1 + 1 + (0 + 1 - 2)*(-t + 4*t - 4*t) + 3*t - 2*t - 2*t to the form r + f*t and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*l - 4 = 0, -145 = -5*t - 2*l - 143 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177.96 + 182. Let r = g - 0.04. What is the third smallest value in r, 4\/3, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*4\/(-40) + 14\/(-60)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 2\/35 (c) 45 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85760216*t**2 + 70147569 wrt t?\nAnswer: -171520432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/20*((-315)\/(-462))\/(23\/((-506)\/(-36)))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -17*k**3 + 2*k**2 - 1. Let s be g(-1). What is the common denominator of 5\/42 and 593\/140 - 1*s\/63?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -15*f - 44 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -941, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33244 (base 6) to base 2\nAnswer: 1001000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w)**(-8\/13)\/(w\/(w\/(w*w\/(w**19*w))*w)*w*w**(-4)))**(4\/5) assuming w is positive.\nAnswer: w**(1112\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (360\/(-27))\/(1\/(-3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38589 and 6426084?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 17. Let u(r) = 83*r - 504. Let s be u(8). Suppose 13*d - 5*d = s. Calculate the highest common factor of h and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - d. Let x be r(2). Suppose -z + x = -3*t, 5*z + 4*t = -7 + 20. Sort 3\/5, z, 2 in increasing order.\nAnswer: 3\/5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 1. Suppose 20*h - 14 - 6 = 0. Let g(j) = -25*j**3 - 4. Calculate h*g(s) + 4*l(s).\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373\/(-14)*-2 - (-10)\/(-35).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -20. Let n = 0 + 2. Calculate the remainder when a is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12069 + 18392 = 386*v - 303*v. Calculate the remainder when v is divided by 63.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3 + 1400*z**2 + 667401*z + 666000 = 0?\nAnswer: -375, -1, 1776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -129, 497 in descending order.\nAnswer: 497, -3, -5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2. Let a(k) be the second derivative of k**2 + k. Let r = 7 + -10. Let z(m) = m**2 - 3. Let y(l) = r*a(l) - 2*z(l). Give y(h(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*sqrt(45) + 3 + sqrt(15)\/sqrt(3)))**2.\nAnswer: 3456*sqrt(5) + 46404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -0.2, -6\/5 in descending order.\nAnswer: -0.2, -6\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o)\/o)**(-41)\/(o**(-2\/3))**(3\/5)*(o**(-2\/19)*o\/o**0)\/((o*o*o*o**(-4)*o*o)\/(o**(6\/7)*o)) assuming o is positive.\nAnswer: o**(-25834\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 11:01 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 55\/4 of a week?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1171.145l?\nAnswer: 1171145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*l*u**2 + 2*b**3*l - 352*b**2*l + 4*b*l*u**2 - 2*b*l*u - b*u**2 - 26*u**2 - 18*u wrt b?\nAnswer: -12*b*l*u**2 + 12*b*l - 704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/4 of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 24 = 4*r. Suppose -5 = 2*a - 3*a + j, 2*j + r = -2*a. Is 35 - (-3 + a + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -0.02.\nAnswer: -6.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.014 - -3.934. Let s = c + 0.08. Sort -0.4, s, -0.2 in decreasing order.\nAnswer: s, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-52) + 70\/8 + 2. Solve -3*t - 5*q = -q + c, -8 = -t + q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116141.0477 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 420359 + -420440.9756. Let h = 11.8 + -93.8. Let x = h - o. Round x to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 0\/1 - (-3072)\/384?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 1901304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnmqmnnnnnnnnn. Give prob of picking 2 n.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**4*u - 7206*k**3*u**3 - 190427*u**3 wrt k.\nAnswer: -8*k**3*u - 21618*k**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 191*n**2 + 1971*n - 373. Calculate c(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, f: 1, w: 4}. Give prob of sequence wj.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**2 - 6*m - 99. Let x(b) = b**2 + b - 1. Determine u(v) + 6*x(v).\nAnswer: -v**2 - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:07 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -0.8051, 12 in decreasing order.\nAnswer: 12, -0.05, -0.8051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:49 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1439060 and 61\/126.\nAnswer: 12951540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**(1\/5)*w)\/w))\/((w*w**6*w)\/w))\/(w\/(w*w**(-1\/4)\/w))**(-2\/7)*((w**0*w)\/w)**(-46)\/((w*w**(-5\/3))\/w*w\/(w*w**(1\/12)\/w)) assuming w is positive.\nAnswer: w**(-853\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7666749465?\nAnswer: 3, 5, 37, 13813963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 92. Suppose u + 3 = f. Let l(h) = 9*h - 3*h - u*h - 2*h. Let w(a) = 20*a**2. Calculate w(l(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/73 (b) -11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1518031179 less than 8.7?\nAnswer: 1518031187.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86802483.\nAnswer: 3, 23, 149, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -1 + 2*a + 1\/2*a**2 - 1\/3*a**3. Let h be f(0). Round h to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8104055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -41378 (base 11) to base 10\nAnswer: -60343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:31 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 339744.\nAnswer: 3737184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2916 is divided by 575.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c - 780 + 780.\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 31*i**3 + 20*i**2 + 21*i - 5. Let o(y) be the first derivative of 3*y**4\/2 + 4*y**3\/3 + 2*y**2 - y + 43. Let g(u) = 2*h(u) - 11*o(u). Give g(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g\/(g**(2\/3)*g))\/(g\/(g**0*g)*g))\/(g**(-2\/9))**(-1\/3))**(-2\/77) assuming g is positive.\nAnswer: g**(-68\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/((-1)\/(1\/(-2))) - (-32108)\/44160 and 39\/640.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 3\/925483, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9 = 2*j - j, c = 2. Let h = 7 - j. Solve h*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -47*h - 2. Let t be c(-2). Suppose t = 4*x - 20. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43b570 (base 12) to base 3\nAnswer: 2000201211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 17*m**6\/6 + 61*m**4\/4 + 1199*m**3\/3 - 3551. Find the third derivative of i(v) wrt v.\nAnswer: 1020*v**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = -3*d + 194, 0 = d + 2*u - 62. Suppose 3*l - d = -12. What is the units digit of 1096\/6 - l\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/7 or -2?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548 is divided by 772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 + 9 - -3) + -5 - 0) + (-44 - -60)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:34 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - -267. Calculate the least common multiple of 663 and z.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + u - 2 + (1 + 2 - 2)*(2*u + u - 4*u) + 7*u - u - 4*u + 5*u - 3*u - u in the form m + x*u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*h - 11*h + 4*h + (4*h - h - h)*(-1 - 1 + 3).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 80957500 to the nearest 100000.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 93 = -33. Solve 4*x + 5*q - 4 = -5, 3*x - 2*q - n = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2 - 2 - 1. Let p(u) = 7*u - 35. Let o(n) = 35*m(n) - p(n). Is o(-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.6 * 2.36.\nAnswer: -114.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = -5*k - 8, -12 = 3*k. What is the remainder when 627 is divided by (9 + 2 + s)*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5, 28 = -11*x + 14*x + 5*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m - 17*m = 2079. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3 - 53*y**2 - 775*y - 1875 = 0.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1845\/3 - (2 + -6 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1625320 divided by 4540.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -924.8609985 + -0.1.\nAnswer: -924.9609985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 16 = 4*h, 0 = 4*z + 2*h - 32. Suppose -z*x + 198 = 12*x. Calculate the greatest common divisor of 253 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = 4*l + 15, -2*k - 4*l - 16 = 0. Suppose 2*z - 2*b - 1 = -5, 0 = -2*b + k. Let j(v) = -192*v**3 - 2*v**2 - v. Is j(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22664 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44523909?\nAnswer: 3, 41, 120661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-294)\/441*(-9)\/264. Which is the nearest to -25? (a) 0.2 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -277835.\nAnswer: -277839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 18807 = -22533. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 315*j + 1815. Determine l(-3).\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-101 - -97) + (-158)\/(-40). Let m(w) = -w**3 - w**2 - w - 1. Let d be m(-1). Which is greater: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 1299596\nAnswer: -1299596.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 2. Let h be s(2). Let n be 24\/(-1 - (-8)\/h). Suppose 2*c - n = 5*l, 5*c - 5*l - 8 = 157. Solve 3*b - b - 3*v + 4 = 0, 0 = -5*b - 3*v - c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-6))\/((-570)\/76)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 570 - 573. What is the nearest to 0.07 in 0.5, 2\/15, -0.2, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 10*a + 8. Let m be r(8). Let y = 107 + m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c - 2. Let d be s(-1). Suppose 2*z - 5*z = -6. Solve -d*q - 3 = -z*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -6*3\/6. Put z, -5, -3 in ascending order.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 6*k + 8*k + 1)*(713 + 811 - 588) as a*k + g and give a.\nAnswer: 1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -122. What is the greatest common factor of r and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49856817, 49856824, 49856831, 49856838?\nAnswer: 49856845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0*(-7)\/63*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/11 (b) -4 (c) 0.42 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*q + 191, -5*q = -10*q - 3*r + 325. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 8. Let v be u(0). Suppose -95*y - 90 = -98*y. Suppose -y = -v*a + 2. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 2*n**2 - 2*n + (-n + 6*n - 3*n)*(-2*n - n + 5*n) - 3393 + 3393 - 97*n**2.\nAnswer: -91*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 33348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 887 and 20834743.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1178 (b) -0.4 (c) 0.5 (d) -1 (e) -178 (f) 2 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**9\/252 + i**5\/15 + i**2\/2 + 2. Let r(u) be the second derivative of s(u). Find the third derivative of r(m) wrt m.\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1.22736, 3\/5, -2\/9, -2\/11?\nAnswer: -1.22736","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434209.\nAnswer: 434209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325122533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5788 or -5789?\nAnswer: -5789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 138 + 37. Let j be 10\/25 - (-115)\/n. Suppose -7*r + 8429 = j*a - 4*r, -4*a = 2*r - 6744. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/7 - 0)*-1. Let s = 1.98 - 1.48. Let k = 11008\/20141 - 2\/1831. Which is the closest to 0.1? (a) j (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 2, f: 1, q: 1, g: 1, i: 1}. Give prob of picking 1 k and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011011 (base 2) to base 8.\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-30)*0)\/(1 + 0). Suppose u = -4*l - l. Let x be l - (2 + 4\/(-1)). Solve k - 4*p + 23 = 0, 4*p - x = -k + 3*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xpvviovpvpvvvvpxxpp.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.021.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -0.033 (c) -7.9 (d) 90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4962*p**2 + 3*p - 706 wrt p.\nAnswer: 9924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*n = 4*s + 92*n + 32, 22 = -4*s + 2*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.4 (b) 3\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4 + 520*w**3 + w**2 - 520*w = 0. What is w?\nAnswer: -1, 0, 1, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 divided by -513.\nAnswer: -161\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 726*p*u**6 + p*u**4 + p*u**2 - 139*p*u - 10*p + 101*u**3 + 10*u**2 - 1 wrt u?\nAnswer: 87120*p*u**3 + 24*p*u + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-15)\/(-6))*-2. Let p be ((-63)\/h)\/(9\/(-45)). Suppose -4*s + i = s - 61, 5*s - p = 3*i. What is the remainder when 21 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.1345 - 8?\nAnswer: 336.1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1182\/(-462) + 5\/10*(-24)\/(-44).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 177*x**2 - 530*x - 5. Calculate s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (0 + 4 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/(9\/(-48)). Let t(c) = c**3 - 4*c**2 - 4*c - 16. Let r be t(4). Let d = w - r. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 128, 117, 112, 119, 144?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 140*t - 156*t - 160 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*t + 3*q - 3*q = -5*q - 15, -2*t - q - 21 + 38 = 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4137.56 and -22.\nAnswer: -4159.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 214024 + -5\nAnswer: 214019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + 2 + sqrt(15)\/sqrt(5) + -4 - (4*(sqrt(432) + -1) + 5))**2 + 5.\nAnswer: 470*sqrt(3) + 6662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 + c - 3. Let m be d(7). Let s(l) = -6*l + m - l + l. What are the prime factors of s(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/5)\/((-58)\/435) + 11418.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16521 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.52 - -0.02. Suppose -4*s + 3*s + 5 = 5*o, 2*o + 2*s = -6. What is the nearest to -0.1 in 0.1, o, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35016.9 rounded to the nearest 100?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h + 2. Let z(w) = -10*w - 3. Let o(p) = -7*q(p) - 5*z(p). Let a(b) = -25*b - 30. Calculate -a(m) - 30*o(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h + 2. Let i(n) = -5*n - 2. Let m(r) = 5*i(r) + 6*s(r). Give m(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 1. Suppose -6*w - 4 = -4*w. Let x be (-1 - -26) + (-8)\/w. Let r = x - 39. Let m(n) = -14*n - 12. Calculate r*s(q) + m(q).\nAnswer: -4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3699204087 to the power of 1\/2, to the nearest integer?\nAnswer: 60821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 14*q**2 - 17. Let g(u) = 5*u**2 - 6. Let i(b) = 17*g(b) - 6*z(b). Let l be 3\/(((-1)\/1)\/(-1)). Give i(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*c + 0 - 9\/4*c**3 + 9\/4*c**2 - 21\/4*c**4 - 9\/4*c**5.\nAnswer: -3*c*(c + 1)**3*(3*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y. Suppose -5*i = -3*a - a + 13, 5*a - 7 = -3*i. Suppose a*o = o + 4. Let q(n) = -3*n + 3*n + o*n - 3*n. What is q(k(j))?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:46 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 30 = -3*n. Solve -n*m + 10 = -0*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 1:59 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j + 20. Let i(s) = s**2 - 16*s - 99. Give -2*i(t) - 11*z(t).\nAnswer: -2*t**2 - t - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/((-259)\/(-111) - ((-53)\/(-15) - 1)). Which is greater: -2028\/17 or v?\nAnswer: -2028\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 13*j**2 - 129*j + 86. Give o(19).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 2*u + 294*u**3 - 4560*u**3.\nAnswer: -4266*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26689.4097353 and 3.\nAnswer: 26692.4097353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1013330 (base 4) to base 12\nAnswer: 27b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 37. Let t = u + -14. Let q = t - 8. What is the nearest to q in 5, -5, -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -200 + 200.0000081. What is b rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 50 = -2*u, -219*u + 215*u = 5*n - 80. Let m(j) = j**3 - 3*j**2 - 10*j + 4. Let o be m(5). Solve -x - n = o*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.3, 437.638 in increasing order.\nAnswer: 0.1, 0.3, 437.638","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194937178, -194937179, -194937180, -194937181, -194937182, -194937183?\nAnswer: -194937184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 105? (a) 0.4 (b) -0.3 (c) -3230 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w + 0 + w - 1 in the form g*w + d and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-3))\/2 + 3. Let r = -7685 + 7685. Solve r*f - 5*z + 9 = -2*f, 6 = g*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-3 - -3) - -1. Let p be (b\/((-6)\/9))\/(-1). Suppose 2*q - 71 = f + 2*f, -p*f - 15 = 0. Calculate the highest common factor of q and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/48980818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -174*d - 78. What is u(0)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t - 463*t = -15051 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**4 + 1 + 1 - 5*g**3 + 5*g**3 + 3*g**3 in the form n + y*g**4 + s*g**3 + i*g**2 + m*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -19*i**3 - 99*i**2 - 96*i - 16 = 0?\nAnswer: -4, -1, -4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*x - 50. Let o be (1 - 1) + 0 + (-15 - x). Let d be 3 + 12\/(4\/2). Solve -2*g - u + d = o*u, -g = u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lruabrbbuabaabbaba. Give prob of picking 1 a, 1 r, and 2 u.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/23021?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269026?\nAnswer: 2, 134513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*u = -308, 0 = m + u + 85 - 239. Suppose -44 = 5*c - m. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*c**2 + 135736975*c + 67868490.\nAnswer: -5*(c - 13573698)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*864\/840)\/((20\/(-180))\/((-10)\/(-12)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -u + 32 - 344, -3*q + 4*u = -177. Suppose c + 0*c = 3*d - q, -4*c - 63 = -3*d. Let v = 29 - d. Which is smaller: v or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 16. Solve -3*z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -228937? (a) -2\/3 (b) 0.1 (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (16 + -9 - 18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10177)\/(-5) - (-6 + 270\/50) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -21. Suppose -5*w + 1 = -p. What is the remainder when 15 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -28334, -4?\nAnswer: -28334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 26 = 5*t, -3*t + 0 = 5*p - 26 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 66. What are the prime factors of (5 - 485\/5)\/b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:39 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*g + 32*g + 201043. Suppose 2126 - g = -5*l. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 397, 400?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - 0?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 0, -3 in ascending order.\nAnswer: -3, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twelve sevenths of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*a**3 - 1405*a**3 + 2*a**2 - 1128 - 437*a**3 wrt a?\nAnswer: -12198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x - 2*j, x - 7 = -0*x + 2*j. What is the biggest value in x, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1188022 - -1188013.69851. Let h = x - -8.3. Round h to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 506*o + 3065. Let d be h(-6). Put d, -3, -17 in decreasing order.\nAnswer: d, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78\/77 + 8\/11. Which is the second biggest value? (a) z (b) 2\/71 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -795\/159757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 5*n**2 + 9. Let q be r(5). Solve 0 = -p - 5*x + 19, q*p + 2*x - 7 = 8*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*v + 18. Which is the closest to -2\/7? (a) v (b) 2 (c) 2\/521\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568.87449 less than 0.64?\nAnswer: -568.23449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13020 (base 5) in base 4?\nAnswer: -33302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeeeeekekeeekaeea. Give prob of sequence ae.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**3*o**3*s + 3*n**3*o*s**3 - 56*n**3*r - 60*n**2*o**3*r*s + 19*n**2*o**3*s**3 - n**2*o*r*s**2 + 2*r*s wrt n?\nAnswer: -12*o**3*s + 18*o*s**3 - 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q. Let j be v(1). Let r = j + 9. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(14832\/(-1997376))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5226554 + 23?\nAnswer: -5226531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.130168 + 0.369832. Let a = 3352 + -781017\/233. What is the third biggest value in a, 4, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 190965150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + f - 533 + 108 = 0, 2*z = -4*f - 274. Let j = 325 + z. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/160 + 22\/(-16). Let f(u) = 4*u**3 + 4*u + 5. Let o(s) be the second derivative of -s**3\/6 - s**2\/2 + s. Let b(p) = f(p) + 4*o(p). Give b(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/55 and -48\/64662845.\nAnswer: 711291295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186.4 - -207. Let o = y - 21. Which is bigger: 0.1 or o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 141 (b) -0.0892 (c) -5 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21034 + -42?\nAnswer: -21131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-15) - (-6)\/45?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -982657 and -982673 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(3 + sqrt(3) + sqrt(9)\/sqrt(3) + 2 + sqrt(3) + sqrt(240)\/sqrt(5)))**2.\nAnswer: 2520*sqrt(3) + 6194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -3*d - 15, -4*d = -2*d + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + 6. Let i = 68 - n. Suppose -4*q + 424 = 2*g, 0 = -i*q - 4*g + 9*g + 224. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5664.497 litres to millilitres.\nAnswer: 5664497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 11:38 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 2*-2*sqrt(2448) + sqrt(2448) + sqrt(2448) + 1 + -1 + sqrt(2448).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 135*c**3 - 3*c**2 + 3*c + 42. Let b(h) = 129*h**3 - 4*h**2 + 4*h + 44. What is 3*b(d) - 4*i(d)?\nAnswer: -153*d**3 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*4*(-391)\/306.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 46671*d + 373355. What is k(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 5*l - 4. Let q be c(-4). Let o = -17 + 20. Find the third derivative of -2 + q + 2 + 5*d**2 - 2*d**o wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/9*6\/4. Let f = -3.076 + 2.976. Which is the third smallest value? (a) f (b) d (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -7 - (-39 - -45)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24352226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104363 - -5?\nAnswer: -104356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -499834366323\/179369243977 + 588\/14837393. Let i = v - -3\/3454. Calculate the common denominator of -11*(-6)\/(-40) + 1 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Suppose 2*w - 4*w = -s - 4, 5*s - 19 = -o*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20340 - -20367. What is the second biggest value in 3\/8, 5, d, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*sqrt(119)*1 + sqrt(119))\/(-3*sqrt(7)*-3).\nAnswer: -3 - 5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*r + 4*i + 112, -3*i = -4*r + 71. Let g be ((-8)\/r)\/(2\/(-5)). Put -0.5, g, -0.1 in decreasing order.\nAnswer: g, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 25 = -2*m, 0 = -2*m - 2*z + z - 5. Which is the biggest value? (a) -3 (b) m (c) -1\/4 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279273598?\nAnswer: 2, 71, 9008969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 29982738?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (673*(-1)\/170 + (-240)\/(-4080))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -1 - -1 - 1. Suppose j*s - 3*s - 19 = 0. Let a = s + 27. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c0 (base 13) in base 14?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 - 100?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -367 - -13720662\nAnswer: 13720295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfl when three letters picked without replacement from {f: 1, l: 1, n: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -79, -81, -71, -55, -39?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 669*q**2 + 4*q + 14. Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h + 2535 - 7550 = 2125 for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20029442.\nAnswer: 2, 53, 188957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 + -5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 188039*r + 188041*r - 1776*r**2 in the form x*r**2 + i*r + y and give x.\nAnswer: -1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 40671.\nAnswer: 81342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -436 - -36488?\nAnswer: 36052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 224\/240 - (-2)\/5. Let z = 0.2 - -0.4. Which is the second smallest value? (a) z (b) -1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 57. Solve 3*n + z + 3 = i, 0 = -3*n - 4*i + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, 10, -2.9, -5\/2, -0.01?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**4 - 2*t**3\/3 - 3*t**2\/2 - 691. Let w(i) = i**2 + i. Give -3*w(g) - y(g).\nAnswer: -4*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Suppose j*s = 12 - 0. Let r be 36\/8 - 3\/s. What is the highest common factor of 44 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by 6.\nAnswer: 95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -381*a**3 - 477801*a**2 + 702110811*a?\nAnswer: -2286*a - 955602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 0*h + 11854 - 11854.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 553894 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-720)\/(-390) + 10?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:25 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 324*k**5\/5 - 204*k + 391. Differentiate f(l) wrt l.\nAnswer: 1296*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -441 + 733. Let u = -290.77 + b. Let p = u - 0.06. What is p rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/(-16) - 7\/56)*-4. Let g(v) = 5*v**2 + 28*v - 3. Let u be g(-6). Solve -u*r = -w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -45 + 17. Let f(l) be the second derivative of 0 - 4\/5*l**2 + 4\/15*l**3 - j*l - 1\/30*l**4. Factor f(d).\nAnswer: -2*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2908805.\nAnswer: 5, 19, 67, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**2 + 36*t + 12*t - 105*t + 20*t + 37*t.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.367 + -1.267. What is the nearest to 0.09 in -2, l, 0, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u - 2 - 9*u + 19*u - 8*u. Let c(z) = 25*z + 7. Calculate -2*c(l) - 7*o(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 119831.9 litres?\nAnswer: 119831900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minus -2.76?\nAnswer: 162.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 776*v + 9*v**2 + 3 + 779*v. Determine a(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -7 - -6 - 6. Let d(z) = z**2 + 5*z + 3. What is the smallest common multiple of 3 and d(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**6\/60 - 13*n**5\/30 - 5*n**4\/6 + 8*n**3 + 49*n**2\/2 - 104. Let q(p) be the second derivative of b(p). Factor q(k).\nAnswer: -2*(k - 1)*(k + 2)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/35 + (-6)\/(-1) + (-2178)\/126.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -119, -1296, -4479, -10670, -20871?\n\"Answer: -167*s**3 - s**2 - 5*s + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/12*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1289338414 rounded to three decimal places?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)*(-3)\/(-12)*-8 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y - 12 = 4*c, -12 = 4*c + 3*y. Let t be c*4*3\/(-18). Let d be (8 - 0) + 6*(-1)\/t. Let w(z) = z**3 - 5*z**2 + z - 7. What is w(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -8. Let s = 6 + l. Suppose -s*a = -7*a + 15. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -5\/7, -56927?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 + (-2 - -2) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Suppose 3*j = -z*j + 39. Suppose 2*f = 3*f - j. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463063465 divided by -3.\nAnswer: 463063465\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/60 - c**4\/12 - c**2. Let y(j) = -23 + 13 - 6*j**2 + 11 + 8*j + j**2. Let l = 8 + -6. Determine l*y(v) + 9*n(v).\nAnswer: -v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44200, 81472, 118744, 156016?\n\"Answer: 37272*f + 6928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 10*i + 10. Let g = 29 + -25. Suppose a = g*a - 2*q + 16, 20 = -5*q. What is the tens digit of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2\/7, 3\/8.\nAnswer: -1\/5, 2\/7, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r - 6 = -19*r. Suppose -r*n**4 + 4\/9*n**3 + 0*n + 0 + 0*n**2 = 0. What is n?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 23 (b) 11.6301 (c) -0.4 (d) 0.5 (e) 0.4 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 28 = l, -2*l + 41 = 5*t. Calculate the lowest common multiple of l and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 120*j - 14\/5*j**3 + 4*j**2 + 0 - 1\/5*j**4 = 0. What is j?\nAnswer: -10, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321109 divided by 3\nAnswer: -321109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (41 + 249)\/(-1 - (0 - 0)). Let q = 607 + g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.397531 to three decimal places.\nAnswer: -0.398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 17*n**2 + 3*n + 14. Let q be r(17). Let u = q - -73. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 21*k - 9. Let m(y) = y**3 + 4*y**2 + 3*y + 1. Let z be m(-4). Let l be a(z). Solve l*q + 2*q + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 + 0*r**5 - r**5 + (-r + 3*r + 0*r)*(141 - 10*r**4 - 141).\nAnswer: -18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 5*h**2 + 3*h - 3. Let q be g(-5). Let x = -203 + 210. What is the remainder when (-4)\/18 - 220\/q is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {l: 9, f: 4, a: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k + 2. Let f(x) = 81*x - 33. Let s = -170 + 104. Give s*r(p) - 4*f(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4021, -8053, -12085, -16117, -20149?\n\"Answer: -4032*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 64\/3, -15, -2\/15, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90608?\nAnswer: 2, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -77. Which is the biggest value? (a) 1 (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*r - 69*r + 2*t = -8, 0 = 3*r + 5*t + 2. What is the thousands digit of 1087*(-1)\/(3 + r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**4 + 129*x**2 + 9*x - 8*x - 13 + 0*x**4 - 123*x**2 in the form u*x**2 + m*x**3 + h*x**4 + y*x + z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7571, 14910, 22253, 29600, 36951, 44306, 51665?\nAnswer: 59028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79534 or -78948?\nAnswer: -78948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/2)\/g*g)**(-2\/13)\/(g*g**(12\/7)\/g*g*(g**(-16)*g*g)\/g) assuming g is positive.\nAnswer: g**(1153\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -6.4, -1056, 1\/6, 8, 2?\nAnswer: -1056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a kilogram in grams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 51*f**2 - 26*f + 19. Let t be (312\/(-30))\/(-3 + 39\/15). Let h = -47 - -84. Calculate the remainder when h is divided by c(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 208*p**2 + 6*p - 3. Let v(w) = 5*w + 20. Let q be v(-5). Is f(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 383911, 427627, 471331, 515017, 558679?\n\"Answer: -x**3 + 43723*x + 340189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2515 = 16*z - 1325. Let a = z + -72. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 72*v - 143. Is 92 a factor of u(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + x - 4*x = -63, 2*x - 61 = -3*z. Let c(j) = j + 8. Let p be c(-6). Suppose -46 + 198 = p*d. Calculate the highest common factor of d and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533 = 3*d + 230. Is d at least 807\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let i(q) = 7*q + 10. Let f(a) = 8*a + 11. Let h(w) = w**3 - w**2 - 3*w - 3. Let o be h(3). Let t(b) = o*f(b) - 7*i(b). Calculate t(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 116 = 4*c. Suppose -c*f + 396 = -28*f. Suppose 0 = -6*h + 180 + f. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 245\/10 - (-1)\/2. Let x = -14 + b. What is the greatest common divisor of 44 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/11)\/n)\/n*n**(-14))\/((n\/(n\/(n\/((n\/(n*n\/n**(2\/37))*n)\/n*n))*n))\/(n\/(n\/n**(8\/11)))) assuming n is positive.\nAnswer: n**(-6416\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let v(x) be the third derivative of -7*x**5\/30 - 9*x**2 + 3*x. What is y(v(r))?\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v. Let i(h) = 9*h - 8*h**2 - 44*h - 76*h**2. Let z(j) = 7*j**2 + 3*j. Let u(r) = 3*i(r) + 35*z(r). Give u(x(g)).\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269155073?\nAnswer: 11, 3793, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 + o**2 - 2*o - 2. Suppose b + 3 = 0, a - 2*b + 7*b + 17 = 0. Let s be g(a). Suppose 4*f = -2*f + s. Sort f, 1, 12 in increasing order.\nAnswer: 1, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1384775361479 and 0.\nAnswer: -1384775361479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 + 128 + 538*p - 183*p - 180*p - 177*p - 27 in the form n*p**2 + q*p**3 + x*p + y and give y.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166611 is divided by 205?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11200002001 (base 3) in base 6?\nAnswer: -1545301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2 - 45\/40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122806 and 163147771?\nAnswer: 326295542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1689, 3385, 5085, 6789, 8497, 10209, 11925?\n\"Answer: 2*d**2 + 1690*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 9. Suppose 4*i - 300 = -y, -a + 5 = 5*i. Is 18\/4*y\/18 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -33*f**2\/4 + 24*f + 81 = 0.\nAnswer: -2, 54\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z - 3*z)*(-965 - 185 + 78).\nAnswer: 5360*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -3, 0 in ascending order.\nAnswer: -3, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 3*f - 2*f)*(5*f - 2*f - 4*f) - 3*f - 2*f**2 + 3*f**2 + 4*f - 160*f + f**2 - 152*f + 331*f as h + d*f**2 + l*f and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a - 40*a = 39*a + 1026 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4253416, -8506837, -12760260, -17013685, -21267112, -25520541, -29773972?\n\"Answer: -p**2 - 4253418*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*c + 2*j, -6*j = -2*c - 3*j - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(240)\/sqrt(6) + sqrt(40)) - sqrt(40) - (sqrt(120)*1)\/sqrt(3))\/(-5*sqrt(32)\/(sqrt(4) + sqrt(12)\/sqrt(3)*5)).\nAnswer: 36*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -643*b**3*p**3 - 24*b**3*p + 2*b**2*p - b*p**3 - 14*b*p**2 wrt p?\nAnswer: -3858*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Which is the second smallest value? (a) 6 (b) w (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.148 (b) 0.3 (c) -13\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7 = 4. Suppose h = 3*h + 2*u - 282, 4*u = 5*h - 687. Suppose h = -i*j + 346. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086428021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-39)*o**(32\/5) assuming o is positive.\nAnswer: o**(-163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 76 = 6*s. Solve h + s = 5*f, -4 = 5*h - 3*f + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from enssqssnfksqkqsqsk?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117840 divided by 982?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 15\/(-5))\/((-33)\/(-6) + -5). Let h(q) = q**3 + 4*q**2 - 2*q**2 - 3 - 3*q - q**2. Determine h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 3)\/1 - -3. Suppose -3*s = s - 4*c, 0 = -s + g*c. Suppose 2*i + s - 16 = 0. What is the lowest common multiple of i and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -38284239.\nAnswer: 229705434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a day in minutes?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -136*x - 139*x + 14*x**2 + 9*x**2 + 6 - 29*x**2 + 273*x. What is a(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 5}. What is prob of sequence nnn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 12.8. Let w = -22 - -21. What is the closest to w in 1\/6, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65347.03ml to litres.\nAnswer: 65.34703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 55 and 0.53464966?\nAnswer: 54.46535034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10 - (-493)\/34)\/(10\/8))\/(2\/(-10))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 5. Let k(h) = -3*h**2 - 214*h + 1. Give q(k(i)).\nAnswer: -12*i**2 - 856*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 31*d**2 + 139*d. Let u be n(-25). What is the highest common factor of 575 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -152*s**2 - 8051*s + 260. Determine k(-53).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27145*l + 8 - 4844*l - 13 + 5.\nAnswer: -31989*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89909070.\nAnswer: 2, 3, 5, 23, 130303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -29\/6*q**3 + 0*q**2 + 0 + 15*q. Let i(l) = l. Determine i(h(k)).\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -2 - (14 - (-10 + 26)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307 is divided by 105.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5397262524243.299938 + 5397254188305. Let y = x - -8335945. Let w = 6.7 - y. What is w rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/9)\/(-2*(-6)\/(-225)) and -31\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000084121 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78199 - -12*1\/(-9)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125256 + -15?\nAnswer: 125241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6, v = 3*t - v - 78. What is the remainder when t is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (612*y - 611*y + 44 + 19)*(2*y - 3*y - y) in the form w*y + n*y**2 + l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243*0.5942.\nAnswer: 144.3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(27 + (-2040)\/75)*-35.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15004327\/5 <= 3000864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 275887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -81. Let n be (1 + r)\/(57\/38) + -2. Solve 6*v = n - 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p = -2*c - 20, 3*c = 5*p - 35. Let n be 6\/c - (-23)\/(-5). Let s = n - -5. Is s at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 662664, 662679, 662694, 662709?\nAnswer: 662724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38\/581 + 68351\/1053934. Let i = f + 3637\/16326. Find y, given that 4\/9*y**3 - 4\/9*y - 8\/9*y**2 + i*y**4 + 2\/3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 754039207*m**2 + 757002514*m.\nAnswer: 1508078414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26376 and 471.\nAnswer: 26376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 5:11 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Suppose -5*c + 125 = -3*k, l*c = 2*c - 5*k + 25. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 18 = q + q, -2*a - 4*q = -14. Solve 7*p - 4 = a*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15360 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 4 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q = -3*w - 19*q + 275, 315 = 3*w + 3*q. Calculate the remainder when 232 is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2410\/(-14) - 5\/(-45)*0. Suppose -372 = 4*b + 300. Let f = b - q. Find the common denominator of 14 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -16.7. Which is the second biggest value? (a) 0.4 (b) -0.09 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 21\/(-30))*64\/(-560)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*u**3 - 17*b*u**2 + 130*u**3 + 11*u**2 + 2*u with respect to b.\nAnswer: -3*u**3 - 17*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/15 and -139\/2129982.\nAnswer: 10649910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 273565\/66 - 4145. Let b = -96\/103 + -5236\/2781. Find the common denominator of m and b.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31496421 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-186 + 269 + 55)*(-2*t + t + 2*t) + (4 - 2 + 0)*(0*t + t + 0*t + (11 - 11 - 4*t)*(-1 + 3 + 0)) in the form y + d*t and give d.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 906.0617 millennia?\nAnswer: 10872740.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than 5141.5199?\nAnswer: 5141.5099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -6*u + 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10050461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 184 = 223 - 192. Let r = -11 - -11. Is u at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 46 + -3 + (20 - 1) - 81\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18965, 18985, 19041, 19151, 19333, 19605, 19985?\nAnswer: 20491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156577*l**6 + 309*l**2 + 78.\nAnswer: 18789240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003733 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12045\/40 - 13) + ((-20)\/(-32))\/(-5). Calculate the highest common divisor of s and 1944.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4177 + 57839. Suppose 0 = z - 3*z + 2*h + 24808, 5*z = h + u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/5*2\/4*10. Solve -5*q + 20 = a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by 342.\nAnswer: 113\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000173664 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(4 + sqrt(117)))**2 + (-2 + sqrt(1872) + -4 + -1)**2.\nAnswer: 432*sqrt(13) + 5246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 21. Let j be s(-7). Suppose -k = -5*g - 447, 5*k = 3*k - 6. Let d = 132 + g. What is the highest common divisor of d and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/4 (b) 6 (c) -0.3 (d) 5\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127 + 243. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 1089.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 29.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 14*j**2 + 20*j + 5. Let r be n(-5). Find m such that 1\/7*m**r + 1\/7*m - 2\/7*m**3 - 1\/7 + 2\/7*m**2 - 1\/7*m**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-145)\/(-3)*((-2)\/(-1))\/((-530)\/(-159))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 - 8*v**3 + 40*v**2.\nAnswer: 2*v**2*(v - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 8:06 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -16. Suppose 5*f + 5*w - 2*w = 140, -4*f + 112 = -u*w. Suppose -3*j + j = -f. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1078)\/24255 - 5212\/180?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*l - 13 = 0, 4*r - 25 = -3*l + 8. Let j(a) = -6 - a**3 + 3*a**2 + r*a + 6*a**2 + 2*a - 3*a**2. Is 11 a factor of j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 - 2*m - 2. Suppose 42*x - 38*x = h + 20, x - 4*h - 5 = 0. Let k(z) = -4*z**2 - 2*z - 2. Calculate x*c(u) - 4*k(u).\nAnswer: -4*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*r**4 + r - 65.\nAnswer: -1572*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:42 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*u**3 + 0 + 8\/11*u**2 + 10\/11*u.\nAnswer: -2*u*(u - 5)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 + 43967425*d - 43967420 = 0 for d.\nAnswer: 1, 8793484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/35)*s*s**(-3))\/(((s**17*s)\/s)\/s)**(-44) assuming s is positive.\nAnswer: s**(24604\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - 6*j + 6. Let l(g) = -3*g**2 - 6*g + 6. Let v(s) = -3*l(s) + 2*t(s). What are the prime factors of v(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.091 + -0.171. Let r = s + -0.92. Let z = -23 - -18. Sort 1.9, r, z.\nAnswer: z, r, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 852*g + 5085. Determine s(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 + 1. Let n be m(2). Suppose 5*b + 253 = 4*t, -3*t = -b - 59 + 4. What is the remainder when b\/((n - 0)*-1) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251 a factor of 63512019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 42*g + 334. Let d be l(-49). Sort d, -1, 0 in ascending order.\nAnswer: d, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 176816 = -2*o - 35839. List the prime factors of o.\nAnswer: 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from checmhmhmchcmhhhccch?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 126?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, 4, -2, 8, 7248 in decreasing order.\nAnswer: 7248, 8, 4, -2, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32642.1 + 32642. Which is the nearest to -1\/4? (a) j (b) -1.03 (c) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55542.\nAnswer: 2, 3, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32451212 divided by 5.\nAnswer: 32451212\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -675 (base 10) in base 16?\nAnswer: -2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:46 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816*z - 815*z - 152 = 0. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 180 - 61)*(-26*b + 4*b - 8*b).\nAnswer: 8790*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 48*d + 87. Calculate s(43).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7465 + 7450)\/(2 - (-1 + 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 19129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -46474*h**3 + 3*h**2 + 5*h + 2. Let u be v(-4). Suppose -u + 1154366 = -2*j. What is j rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373710 - 134.1\nAnswer: -373844.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297012 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25216, 25214, 25212, 25210, 25208?\nAnswer: 25206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.46. Let y = 428.29 - 429.29. Which is the third smallest value? (a) y (b) 6\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1980 = -716*d + 536*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1621*b + 3900 + 9068 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3584) - (2*sqrt(3584) - sqrt(3584)))*-3)\/(-5*sqrt(24)\/sqrt(3)*2*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3 - 93959*m**2 + 4511760*m - 54148032 = 0. Calculate m.\nAnswer: -94007, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15326054 + 7528054. What is u rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6138841 divided by -3\nAnswer: -6138841\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/6679356 and -89\/3339678.\nAnswer: 6679356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (340\/(-3570))\/(-11 + 1780\/70)?\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -69, -100?\n\"Answer: -31*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r + 2*r**2 - 20*r + 24*r - 3 - 3*r**4 - 3*r**3 to u*r**2 + t*r**3 + k*r**4 + b + n*r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 4 - (-11)\/7. Let d = -8\/9 - -14\/9. Which is the nearest to -1? (a) d (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4 + 8. Let g(q) = q + 8. Let u be g(-4). Let c be -3*(0 + u\/(-6)). Solve 4*d = -c*r - 4 - 0, -n*d = -r + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3357 + 382. Suppose -4*a + 1220 = 4*z, -6*z + 8*z = -5*a + x. Is 31 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1371\/2 (b) 0 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 9 = -25. Let t be 5 - (2 + -6)\/(-2). Suppose 2*o + 4 = t*o. Which is the closest to -2? (a) o (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)\/v**(-3\/5))\/((v*(v\/(v\/v**(-4\/5)*v)*v*v)\/v)\/v*v**(-1\/3)))**(2\/15) assuming v is positive.\nAnswer: v**(-128\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 30 = -5*q + 100 - 38, q + 2*m = 4 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.3, -0.15, 2\/9, 0.5, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from addadadddda. What is prob of sequence daa?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9421 divided by 195.\nAnswer: -9421\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 666611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206568 is divided by 25821.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v - 20. Let k(u) be the third derivative of -u**5\/60 - u**4\/8 - 5*u**3\/3 - 4*u**2. Let o be k(0). Is 9 a factor of f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2815*k**3 + 49119*k - 49119*k.\nAnswer: 2815*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -322798 (c) 13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 - 40*t**4 - 140*t**3 + 400*t**2 = 0.\nAnswer: -4, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (199292\/(-10))\/(22\/(-55)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2. Let w(q) = -5*q**2 - 2*q**2 - 1 - q + 8*q**2 + 2*q. Let n(l) = 15*l**2 + 18*l - 18. Let g(h) = -n(h) + 18*w(h). Give z(g(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -1 + 1 + 3. Let t be -7*(u - -3)\/(-3). Suppose -6*s - 22 = -t*s. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 778 divide 1101964646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8355*s + 3*s**2 - 2*s**2 - 3*s**2 + 44179*s.\nAnswer: -2*s**2 + 52534*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -424239 - -236736. Let u be 128\/(p\/(-93750) + -2). What is u rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/9))**44)**(-39)\/(g**(-1\/8)*g**(-8)*g)**(-30) assuming g is positive.\nAnswer: g**(2011\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23334143 and 2189.\nAnswer: 256675573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, 73, 235, 473, 793, 1201?\n\"Answer: s**3 + 29*s**2 - 2*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26050, 52112, 78174, 104236?\n\"Answer: 26062*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**2 - 6*f + 12. Let b(g) = -10*g**2 + 5*g - 10. Let l(d) = -6*b(d) - 5*w(d). Let x(a) = 4*a. What is l(x(y))?\nAnswer: 160*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + w - 10, 12 = g + 4*g + 4*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -16, 2*b + 5*d - 4 = -20. Solve -3 = -b*r + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0417 + 0.1\nAnswer: 0.1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 713610 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.7 - -1.3. Let v = i - 41.99954. Round v to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(539) + -1 + sqrt(539) + 0)**2.\nAnswer: 28*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -574, 2.6 in descending order.\nAnswer: 3, 2.6, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104244009 is divided by 277984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4974473 is divided by 4797?\nAnswer: 4781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2965 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 46*o - 24. Let c(f) = -8*f**2 + 136*f + 72. Let b(p) = 4*c(p) + 11*n(p). What is the lowest common multiple of 22 and b(-38)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 682 + 684 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/6*(-3 + 0). Let b = q + 8. Differentiate b*a**3 - 2*a**3 - 3*a**3 - 1 with respect to a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 82*h + 5043.\nAnswer: (h + 123)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -13. Suppose 5*n - 12 = -v, 2*n - 17 = 2*v - d. Let t = -3 + 0. Which is the third smallest value? (a) -9 (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1 - 3*w + 2*w - 1. Let l be r(4). Let t be (-3)\/2 - 9\/l. Which is the nearest to 0.1? (a) 0.5 (b) 2\/15 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2974322, -2974323, -2974324, -2974325, -2974326?\n\"Answer: -c - 2974321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 + 1.7. Let o be (3 - -1) + 1*-2. What is the third smallest value in z, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*q + 2502 = 746*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**3\/3 + r. Let m(i) = -6*i**2. Calculate m(c(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058084674 rounded to five dps?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 153074543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2\/9*m**2 - 14\/9*m + 0 = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 510647, 510672, 510697, 510722?\n\"Answer: 25*a + 510622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 1, g: 2, t: 1, j: 2, m: 1}. Give prob of sequence gjm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5077, -20296, -45661, -81172, -126829?\nAnswer: -182632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1813\/11 + -165. Put 2, -0.1, 0.03, w in decreasing order.\nAnswer: 2, 0.03, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9776902 is divided by 66060?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11001111111111010001 (base 2) to base 16\nAnswer: cffd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3711472 is divided by 1205.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2294899 (base 11) to base 8\nAnswer: -17213101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*sqrt(2736) + -5)**2 - (0 + sqrt(2736) + 2)**2 - (sqrt(2736)*2 + -4 - (-2*sqrt(2736) + 2))).\nAnswer: -216*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-732)\/(-1952)*32\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/70, 0.5 in descending order.\nAnswer: 2, 0.5, -1\/70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 12) to base 9.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + 0 + sqrt(17) + 2.\nAnswer: sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-18)\/(k**(-5)*k**(1\/14)) assuming k is positive.\nAnswer: k**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2\/6 + 185615*f\/3 - 371240\/3 = 0 for f.\nAnswer: -74248, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/4, 758\/45, -0.5, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 104 and 897750413.036?\nAnswer: 897750309.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -1334, -2968, -5250, -8174, -11734, -15924?\nAnswer: -20738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, 3, 0.3, -37.7, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 11:29 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 12:31 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 791 - 783. Let q(f) = f**3 - 5*f**2 + 5*f + 3. Let u be q(4). Solve -o*b + 3*b + 4*l = -8, l - u = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99421 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4.49819661487 - -0.4\nAnswer: -4.09819661487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1\/2))\/i)\/(i**(-2\/21)*i))**(27\/5)*(i\/i**0)**(25\/4)\/((i**(-1\/2)*i)\/i*(i**8\/i*i)\/i) assuming i is positive.\nAnswer: i**(-1097\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 220 + 0?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -20*w + 1443. Give t(71).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 10602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*z + 86, -2*j + 46 = -2*z - 36. What is the remainder when 137 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 + 195 + 670*i.\nAnswer: 670*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8175 + -8174.91368. Round t to three decimal places.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2. Let g(d) be the third derivative of -647*d**4\/2 + 3294*d**2. Calculate l(g(o)).\nAnswer: 60279696*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 2*o**2 - 6 - 9*o**2 + 0*o**2. Let w = -1487283 + 1487270. Let n(b) = 23*b**2 - 7*b + 13. Calculate w*a(z) - 6*n(z).\nAnswer: 5*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 11066*b**3 - 11063*b**3 + 95 - 23 + 146 as a*b + u*b**2 + l + f*b**3 and give l.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 11*h - 20. Let t be -1 + (4 - 2) - h. Solve 0 = 3*y + 2*c - t, c = -3*y + 4*c + 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.007 - 0.051. Let u = w + 0.05800046. What is u rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39588 or -39527?\nAnswer: -39527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (-4)\/(-2*(-3)\/(-24))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4719814 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1240*z**4 + 678.\nAnswer: 4960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j - 2*t + 19, t + 1 = 2*j. Let s be (4\/(-6))\/((-2)\/j). Sort -1, 5, s in descending order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -0*g - g, -5*h = 20. Let k be 3 - (0 - (-42)\/(-3 - g)). Suppose 0*r - k = -3*r. What is the greatest common factor of 165 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93421 - 0.8672.\nAnswer: -93421.8672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5150650272 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 11, g: 5}. Give prob of picking 1 g and 3 v.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 6*z - 8*z - 49*z to f + v*z and give v.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 105, -1\/2, 6\/7, -2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-28 + 58 - 22)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.33 - -0.23. Let a = -607\/18 - -67\/2. What is the nearest to 2\/5 in 0, a, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y - 15*y - 480*y**2 + 45*y - 317*y**2 - 14*y to the form s*y**2 + l*y + b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 15*w - 2. Suppose 2*l + 4 = 3*u + 1, -u = 2*l - 9. Is r(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 3*z + 20. Let v be 1\/(-5) + 170\/(-25). Calculate the common denominator of m(v) and (-1)\/2*218\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45611705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/54)\/((-9)\/12) + 528\/54. Let p(a) = -42*a + 417. Give p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t**3 - 14*t + 4. What is s(3)?\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 79, 80, 81, 82, 83, 84?\n\"Answer: j + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2173*l - 132 = 2162*l. Let q be (-3 - -5)\/(2\/4). Solve -2*r = -d, -l = -q*r - 2*d - 2*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 2\/3*c**3 + 6 - 3\/4*c**4 + 0*c + 0*c**2. Find the third derivative of n(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2 - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 23 = 3*t, 4*v - 22 = t - 3*t. Let n be (-27)\/(-63) + 291\/v. What is the greatest common factor of n and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 (base 15) to base 6\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -44*p**3 + p + 1. What are the prime factors of g(-1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let w(t) = -7*t**2 - 16*t + 6. Let p(j) = -5*q(j) + w(j). Let s(l) = -6*l**2 - 5*l + 5. Determine -5*p(z) + 6*s(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*p - 391184 = 0, -4*s + 13*p = 9*p - 391188. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 1332 (c) -32 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 88, -8, 4, 3, 6, -4 in decreasing order.\nAnswer: 88, 74, 6, 4, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 16 = 2*i, -2*f - 11 = 5*i - 29 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 0*s - 2 - 5. Let c(v) = v - 3. Give -10*c(k) + 4*g(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 7) in base 3?\nAnswer: 11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 8705 - 1982 = 0. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 206000. Round v to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99466.48ml to litres.\nAnswer: 99.46648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15933 divided by 1\nAnswer: -15933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 19. Suppose 5 - 43 = -t*j + 4*y, 0 = j + 2*y - 16. Let i(d) = 22*d - j*d - 6 - 16*d. Give i(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 416343.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i**2 + 11*i**4 - 3*i**3 + 14*i**4 - 1 + i**3 + 15*i**4 - 39*i**4 to z*i**2 + s + u*i**4 + q*i + j*i**3 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2532074565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3733311 divided by 10?\nAnswer: -3733311\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 - 132*i + 45. Let v(u) = u**2 + 33*u - 10. What is -4*h(q) - 18*v(q)?\nAnswer: 2*q**2 - 66*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25417*639.\nAnswer: -16241463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1))**(-1\/72)\/((r*r*(r*((r\/((r*(r\/(r\/r**5)*r)\/r)\/r*r))\/r)\/r)\/r)\/(r\/r**6*r)))\/(((r*r**(1\/2))\/(r**7\/r))\/(r**(2\/7))**(-9)) assuming r is positive.\nAnswer: r**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/105*(-15)\/6. Sort 1\/3, 8\/13, 5, u in decreasing order.\nAnswer: 5, u, 8\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*(sqrt(432) + 0))**2)*1.\nAnswer: 3893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**5 - o + 0*o - 9*o**5 + 2*o**5 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-77 - -43)) + -9?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1302 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f*u**3 - 13*f*u**2 - 2*f*u - 2*f - u**3 + 9*u**2 + 125*u - 2 wrt u.\nAnswer: 24*f*u - 26*f - 6*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in 2\/3, 72, -0.06, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 8*x - 4*x - 336, -3*r = 12. Let u(q) = 6*q - 17. Calculate the remainder when x is divided by u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8 = -h, -3*n - n = 20. Suppose 0 = h*d + 3*r - 1900, -4*d + 715 = -2*r - 3101. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let a be g\/(-3)*(-9)\/2. Solve 8 = a*o + o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w - 7. Let u(l) = 2*l - 3. Suppose 8 + 4 = 4*o. Suppose -4*c = -8, -2*t + 3*t + 4 = o*c. Let j(z) = t*s(z) - 5*u(z). Determine j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15396 and 28638.\nAnswer: 73485108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 83 = 293. What is the remainder when 80 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11*j**3 - 5*j**2 - 5. Let s(v) = -6*v**3 + 3*v**2 + 3. Determine -4*l(i) - 7*s(i).\nAnswer: -2*i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, 1.046 in ascending order.\nAnswer: -0.4, 0, 1.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - l)*(1 - 5 + 6)*(-1 + 1 + 1)*(-78 + 28 - 73) to p*l + o and give p.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 697307089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*p + 569, 0 = -3*a - 3*p + 188 + 385. What is the smallest common multiple of 3 and a?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 37*n + 37. Suppose -200 = 7*v - 11. Is m(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/4 + 5*x**3\/3 + 4*x**2 - 5*x - 37. Let v(p) = 5*p**2 - p. Let l be v(-1). Determine h(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q**2 + 3*q - 3. Let x be t(1). Let d be 167\/x - ((-93)\/(-33) + -3). Which is the smallest value? (a) d (b) 3\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 574 + -500. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 7:23 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 154\/((-105)\/(-147) - 129\/210). Calculate the greatest common divisor of 160 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3 + 2 + 0 - 1 + l. Give b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 40\/(-14))*(4710\/(-270) - -19)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from abbwwbbblbwlwbbfbbb?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -6 - (42 + 7 + 8 + -10 + -2).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6474045923 to the power of 1\/5, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 5*c + 4. Let u = 2 - 7. Let o be h(u). Differentiate -2*n**4 + 2*n**3 + 4 - 2*n**3 + 8*n**o with respect to n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-8526)*(-56)\/24?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386758565?\nAnswer: 5, 151, 281, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 54*s. Let y(c) = 21685 - c - 21685. Calculate y(n(i)).\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -459*n**3 - 1652*n.\nAnswer: -2754*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*s + 9*s**4 - s**2 + 25*s + 20*s wrt s?\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 3 + 2*y + 2*y. Let n be 2\/(-1) - (2 + -8). What is the remainder when f(n) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 26*x - 3. Let b(q) = q**2 - 5*q - 1. Let j(r) = -4*b(r) + s(r). Let h(a) = a**2 + 5*a. What is 4*h(t) + 3*j(t)?\nAnswer: -2*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11940?\nAnswer: 2, 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430222323 + -12?\nAnswer: 430222311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*n**2 - 2 + 431*n**3 - 416*n**3 + 40*n**2 - 97*n**2 to d*n + j*n**3 + u + y*n**2 and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/3, 2\/9, -16?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvysxovyosfxvoyf. What is prob of picking 2 x and 1 v?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 340577079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = 2*c. Which is bigger: c or 21\/73?\nAnswer: 21\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 45. Suppose 0 = -d*y + 150 + 10. Calculate the remainder when y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.1, 45, 8, -0.2?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3571*g*j**2*l + g*j*l + 2*g*l - 14269*j**2*l wrt g.\nAnswer: 3571*j**2*l + j*l + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let u(p) = -4*p - 1. Determine -5*s(h) - u(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i**2. Let d be f(2). Let w = -33 - d. Solve -w*n = 6 - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -29584392576.8 and 44.\nAnswer: -29584392532.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 8 - 2*s**2 + 31 + 26 + 3*s**2 - 775*s - 2*s**3 to the form g + o*s**2 + n*s**3 + y*s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 150 = 3*c, 0 = 4*c + z - 64 - 121. Calculate the remainder when c is divided by (-10)\/(3 - 92\/24).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601542 divided by -6.\nAnswer: -100257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 + 1 - 1 + (0*i + i + 0*i)*(-2*i**4 + 2*i**4 - 2*i**4) - 4*i**5 + 0*i**5 + 3*i**5 + 3 - 7 + 2*i**3 + 5 - 2*i**5.\nAnswer: -8*i**5 + 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53972\/5 + 10691. Let v = t - -103. Which is the smallest value? (a) -3\/4 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113.5 + 18.5. Let q = -95.71 - f. Let m = -0.31 - q. Which is the nearest to -1? (a) 2 (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.192 to zero decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 - 1. Let r be z(1). Let m be (-24)\/(-15) + 6\/15. Solve m*x - r = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22920 and 102567?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -4. Suppose 2*c - o + 1 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -6, 13402?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -96\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Let d be (16\/20)\/(3\/(-5) - -1). Let q be (-324)\/(-153) + 6\/(-51). Solve q*p = y*m, -d*m = -m + 2*p - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*m + 5*z + 2, 4*m + 3*z = 16. Let i be (-51)\/((-2 + m)\/1). Suppose 3*h - i = -15. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34762, 139113, 313032, 556525, 869598, 1252257, 1704508, 2226357?\n\"Answer: d**3 + 34778*d**2 + 10*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*r + 11 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -79, -105, -151, -223, -327?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 0*i - 4*i)*(-3 + 1 + 3) - 3 + i + 3)*(i + 3 - 1 - 3*i).\nAnswer: 8*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by 254?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 4. Suppose -14 + y = -a. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452221 = -101*g + 150*g. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/43 - -64\/645. Let w = 11\/15 + -1\/15. Let t = 1743\/4 + -436. Which is the nearest to t? (a) -1\/4 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 130133800.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 23 + (34 - 83 - -5) + 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 6*u - 3. Suppose -f + 6 = 2, 4*r - 3*f - 4 = 0. Let n be h(r). Let a = -14 - -14. Solve 0 = -n*y - a*b + 3*b - 17, 0 = y - b + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 19707350*p + 19418982201125.\nAnswer: 5*(p - 1970735)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*m**2 + 2*m**4 + 1 - 14*m**2 + m**3 + 6*m + 6*m**4 + 36*m**2 to f*m**3 + t*m**4 + o*m**2 + l + p*m and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383 a factor of 105739048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/9)\/((-24)\/(-18)))\/1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1227*j**6 - 8395*j**4 + 2*j**2 - j + 11455071 wrt j.\nAnswer: -147240*j**3 - 201480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2. Let c(v) = -v - 2. Let m be 4 + (-225)\/50*2\/3. Let y(i) = 4*i + 4. Let a(f) = m*y(f) + 2*c(f). Calculate a(b(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*z - 2*z + 64 = 0, 5*z + 38 = 4*w. Solve 2*q = -2*q - w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4670*h**2. Let s(t) = -3*t - 1270. What is s(k(y))?\nAnswer: 14010*y**2 - 1270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5033 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 34*q = 35564. Let l = -1031 - q. What are the prime factors of l?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17871, -13414, -8957, -4500, -43?\n\"Answer: 4457*b - 22328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6676522 divided by -3338261?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14799372 divided by -14\nAnswer: -1057098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1348*9\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, x: 2, p: 7, d: 1, e: 2, n: 1}. Give prob of sequence ud.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10360 and 525890?\nAnswer: 544822040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/3 + 14*j**3\/3 - 16*j**2 - 14*j\/3 + 49\/3 = 0 for j.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*s = -31, 5*s = -3*j - 2 + 13. Let l = -3 + j. Let y(h) = 18*h**2 + h + 1. Is y(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*s - 75, -74 = -3*k + 2*s - 6*s. Let l be 4\/(-6) - 16\/(-6). Let x be l\/5*5\/1. What is the greatest common factor of k and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-4)\/6 + 0. Let j be (3\/5)\/(6\/(-60)) + 8. Differentiate l*z + 603 + 42*z**2 - j*z - 639 wrt z.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 4*c**2 - 5*c - 2. Let x be f(-4). Suppose 8*k = 5*k + x. Solve -q + k*q = 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26467497 to the nearest integer?\nAnswer: 5145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5\/4 + 197219*y**4\/4 - 4861374365*y**3\/2 - 53483598725*y**2\/2 - 340367207125*y\/4 - 243122955625\/4 = 0. What is y?\nAnswer: -5, -1, 98615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.771468 to 2 decimal places.\nAnswer: -3.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 - (-2)\/(-4)*4. Let s = t - -51. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by 5.\nAnswer: -274\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018439 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742443?\nAnswer: 1742443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -2.24\nAnswer: 12.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*q**3 - 27*q**3 - 13*q**4 + 40*q**4 + (-q**2 - 2*q**2 + q**2)*(q**2 - 4*q + 4*q) to z + b*q**3 + d*q**4 + n*q**2 + a*q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2 + 28264*l - 56524 = 0. What is l?\nAnswer: 2, 28262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let c(w) be the third derivative of w**5\/12 - 10*w**2. Give c(q(z)).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183 + 183.00052. What is v rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677980 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -27. Suppose h - 5 = 3. Suppose 5*l + 2*w = -h, 4*l + 4*w + 1 = -15. Solve j - 5*j - q = l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64, -64, -74, -100, -148, -224, -334, -484?\n\"Answer: -s**3 + s**2 + 4*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/4*(1 + 2 + 21). Let n be ((-441)\/w)\/(0 + 6\/16). What is the greatest common factor of 98 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - (-1 + 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 4*t**2 - 17*t - 164. Let w = 15 + -1. Calculate the lowest common multiple of (-23)\/(-7) + (-4)\/w and n(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -47. What is the remainder when 41 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/22)\/(3\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(525\/(-230216))*(-20)\/14. Let z = 9363 + x. Which is smaller: -34 or z?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 9.1, 1.2 in descending order.\nAnswer: 9.1, 5, 1.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-13)*(g\/(g\/g**3*g)*g*g)\/g*((g\/g**(-32))\/g*g)\/(((g**(8\/3)*g*g)\/g)\/g) assuming g is positive.\nAnswer: g**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 + 42*w + 0 + 2 - 176*w**3 - 154*w**3 + 328*w**3 in the form m*w**2 + v + o*w**4 + h*w**3 + c*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24 - 0)\/(12\/8). Solve -3*f + 4 = -5*t, f + 4*t + r = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 5\/2*l**3 + 0 + 13\/2*l**2 - 8*l. Differentiate n(o) with respect to o.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57437*c**2*f*m**2 - 82*c**2*m + 4*c**2 - 1063*c*m**2 - 2*c + f*m**2 + 7*f*m wrt f?\nAnswer: -57437*c**2*m**2 + m**2 + 7*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.080124 - -0.00461. Round u to three decimal places.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 2, u: 7}. What is prob of sequence hhu?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 222*x + 148. Let c(f) = f + 4. What is -37*c(w) + s(w)?\nAnswer: 185*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -15. Suppose -3*h + 24 = -z + 2*h, -5*h + 23 = -2*z. Let p be 4\/(-33)*15\/(-10). Which is the biggest value? (a) f (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**6\/120 + d**5\/15 + 5*d**4\/24 + d**3\/3 - d**2. Factor f(k).\nAnswer: (k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-60)\/90*9\/(-42). Let t be 1*-9 - 0 - -1. Sort -6, t, 1, s in descending order.\nAnswer: 1, s, -6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3443\/2 - -1723. What is the nearest to q in 2, 0.2, 3\/5, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i**2. Let a(r) = 44*r - 11. What is a(v(b))?\nAnswer: -440*b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)*h)\/(h*h**(1\/2)*h) assuming h is positive.\nAnswer: h**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 * 0.5\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 35. Suppose k*x = 10, 0 = 3*q + 4*x - 1 - 13. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -351846*h - 306954 wrt h?\nAnswer: -351846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10400 divided by -40\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-3))\/(1*6\/9). Suppose -30 = s - 5*n, -4*s = -5*s + n - 10. Which is the smallest value? (a) q (b) s (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111101000010100111 - -10010?\nAnswer: 1110111101000010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 4) to base 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*m**4 - 95*m**2 + 168*m**2 + 6*m**3 - 72*m**2 + (1 - 2 + 2)*(m - m + m**4).\nAnswer: -19*m**4 + 6*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y*y*y*y)\/y)**(-15)\/(y**(-3)\/(y*y*y\/y**(2\/15)))*(y**(2\/7)\/y*y**(3\/4))**(4\/19) assuming y is positive.\nAnswer: y**(11719\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 5*g**4\/4 - 3*g**2\/2 - 10. What is the second derivative of v(d) wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1 - 24\/6)*(-96 + 85)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 8 + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*s + 7221 - 6813 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 16\/7 of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-446)\/(-10) - 4\/(-10). Suppose 2*q - 5*q + p = 0. List the prime factors of -1 - (0 + q)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 25281?\nAnswer: 22\/25281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1924944 and 10110?\nAnswer: 9624720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9849\/23 or 0.3?\nAnswer: -9849\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/130 + 12048\/(-960))*-4?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/208637, -104, 1\/4 in descending order.\nAnswer: 3, 1\/4, 2\/208637, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*((sqrt(1008)*-2*3 - sqrt(1008)) + sqrt(1008)*-1 + sqrt(1008) + -2) + ((sqrt(1008) + -1 - sqrt(1008)) + 5)*-2*-4*2)**2.\nAnswer: 76608*sqrt(7) + 1783888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 3*g + 2. Let u be n(-2). Suppose -101 = 14*m + 11. Let t be (4 - 3) + m + 3 - -16. Solve -q - t = -2*z, 3*z = -z - q + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 27. Suppose 90 = -d + k*d. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 2*s - 1. Let c be a(1). Suppose 4*q + 80 = c*w + q, -2*w = -4*q - 46. Calculate the greatest common factor of 26 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/39)\/((j*j**(-22\/3)\/j*j*j)\/j)*j**(2\/19)*j*(j*j**(-4\/5))\/j)**32 assuming j is positive.\nAnswer: j**(780992\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 33*p - 36*p - 105 as i + k*p and give i.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) -1\/5 (c) -4 (d) -2651\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 31*w - 81. Let l be d(-28). Solve 5*t = 5*s + 40, -l*t - 3*s = 2*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-5) + -2 - -11. Calculate the greatest common factor of 306 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1791*h**3 - 1764*h wrt h.\nAnswer: -10746*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/17)\/(b\/(b\/(b**(2\/11)*b*b*b))*b))\/((b**4*b)\/b*b**(-4)) assuming b is positive.\nAnswer: b**(-804\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s\/(s**(4\/11)\/s))\/s)*s*s**23)\/(s*s\/(s*s\/s**(-7)))**1 assuming s is positive.\nAnswer: s**(345\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -303, -309, -317, -327, -339, -353?\n\"Answer: -x**2 - 3*x - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13953071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 482. List the prime factors of k.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.043 - 0.143. Let j = 0.3 + -0.2. Which is the closest to l? (a) j (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*s, 2*s = -7*m + 4*m + 65. Suppose -8*a + 63 = m. Suppose 0 = -a*x + 2*x - 1050000. Round x to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/((12\/(-32))\/(12\/(-8))). Suppose v = 6*x - x. Calculate the greatest common factor of 128 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -366390000 to the nearest 1000000.\nAnswer: -366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 2528, 8475, 20046, 39113, 67548?\nAnswer: 107223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -571 divided by -1368.\nAnswer: 571\/1368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/133 - (-452)\/684. Put 0.4, c, -2\/3, 5 in descending order.\nAnswer: 5, c, 0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-6)\/432)\/((-45)\/72).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 5, 9\/4, 5\/3, -5, -2\/7 in increasing order.\nAnswer: -5, -2\/7, -2\/11, 5\/3, 9\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1341*j**2 - 13. Let f(y) = -223*y**2 + 2. What is 39*f(q) + 6*o(q)?\nAnswer: -651*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -1\/462, 1, -0.31, 8, -2\/9, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1735 + 2858 = 42*x + 309. Solve -x*o + 100*o = 16 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7542.254 centuries in millennia?\nAnswer: 754.2254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.67 * -6745\nAnswer: 11264.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 0 - (-38 - -24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*v - 0*v - 35, v + 13 = -2*s. Let m be (1 - 0) + s - 86. Let q = 290 + m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u - 14. Let g be n(-6). Suppose 0 = g*y - 15*y + 22. Let c = 37 + y. What is the greatest common divisor of c and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8521 + -7505. What is the highest common divisor of 1778 and n?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(12\/8) + 0. Suppose -10 = p*r - 42. What is the least common multiple of 22 and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 125*b - 113*b + 0 to the form w + o*b and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, -36.5, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 1. Let k(y) be the second derivative of y**4\/6 - y**3\/2 - 6*y**2 + 6*y. Let a(f) = -k(f) + 3*u(f). Differentiate a(g) with respect to g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 5*u**4\/12 - 4*u**3\/3 + 5*u**2\/2 - u. Let f(n) = n**2 + 1. Let h(i) = -6*f(i) + m(i). What is the units digit of h(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, r: 2}. What is prob of sequence rur?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/10*(-5)\/2. Let m(k) = 2*k**2 + 5 + r*k**2 - 5. Let a(h) = -3*h + 1. Let j(x) = -28*x + 10. Let o(f) = -10*a(f) + j(f). Give o(m(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, 1\/4, 9, -5 in decreasing order.\nAnswer: 9, 5, 1\/4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242 - 168. Suppose q = r - k, -2*r + 92 = -r + 5*k. Suppose 2*o + 2*y - 24 = 0, -4*o - 2*y + 31 = -o. Calculate the highest common factor of r and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*f - 8, 1 = 5*g + f - 1. Let y = -3 + 11. Let x = y - 5. Solve -o + g = -x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a = 93034 - 93286 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 18. Let n(q) be the third derivative of q**4\/24 - 3*q**3\/2 - 10*q**2. Let g be n(l). Which is the closest to 0? (a) g (b) 1\/6 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121424069\/908 + -133727. Find the common denominator of -17\/18 and c.\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/11 + 2708*k**2\/11 + 826944*k\/11 - 62156736\/11 = 0.\nAnswer: -708, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -38*c + 40*c. Let h be ((-21)\/c + -2)\/(153\/(-136)). Factor -h*p + 25\/3 + 1\/3*p**2.\nAnswer: (p - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286410414071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4477322 is divided by 8831.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(-131*q**4 - 31*q**4 - 65*q**4).\nAnswer: 681*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g*q - 2680*g - 86180*q wrt g?\nAnswer: 6*q - 2680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11024\/(-74 - 32) - -29?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g*g**(1\/7))*g**(-4\/3)*g*(((g*g*(g\/(g**2\/g)*g*g)\/g)\/g)\/g)**47 assuming g is positive.\nAnswer: g**(998\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Let g be s\/(1\/(-4)) - -1. Let f = g - -5. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.4 - -13.5. Let s = -2 + 5. What is the nearest to 5\/4 in -3, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1458408*o + 51908*o - 252662*o + 602360*o.\nAnswer: 1860014*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + z + 2. Let y(w) = 7*w**2 + 2*w + 4. Give 5*n(u) - 3*y(u).\nAnswer: -u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -26 - 22. What is the greatest common divisor of 216 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.1. Let p be 28\/12 + -4 - -1. What is the smallest value in q, 4\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118656, -237309, -355958, -474603, -593244, -711881?\nAnswer: -830514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.3 - -1.3. What is the third smallest value in 0.3, 2\/11, 1, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 949*t - 460. Let m(z) = 316*z - 155. Let a(w) = 4*d(w) - 11*m(w). What is the first derivative of a(b) wrt b?\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6864 and 837012.\nAnswer: 43524624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 305279232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*m**4 - 17993*m**3 + 20*m**2 - 4*m + 4968 wrt m.\nAnswer: -1872*m - 107958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 + 56728*r**2 + 18713706*r\/5 + 308740212\/5.\nAnswer: 2*(r + 33)**2*(r + 141754)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 8, g: 1, e: 9}. What is prob of sequence byg?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*v - 18, -3*v + 9 = -3. What is the biggest value in 0.07, 2, a, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/60 - 5*x**4\/12 + 4*x**3\/3 - 77*x**2 - x. Determine j(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222 divided by 2052?\nAnswer: 611\/1026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01120291734354 and 0.112?\nAnswer: 0.10079708265646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 1 - (118 + -144 + (21 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-2)\/8)\/(1\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2135645?\nAnswer: 5, 101, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9099484907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**3 + 2404*p + 2404*p + 2*p**2 - p**4 - 4807*p + 131 to the form d*p**3 + j*p**2 + t + w*p + n*p**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 12 + 3*r - 4*r. Let v be f(-9). Suppose -a - m = a - 47, v*a - 3*m - 48 = 0. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j + 74 = -2*p, -3*j - p = 76. Let v be j*6\/(-36) - 4\/(-6). Solve -y = -v*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/((-3)\/6). Let b = 315\/269783 + -32648085673\/22391989. Let a = 1458 + b. Which is greater: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235119 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 522*a. Let z(m) = -m**2. Calculate x(z(f)).\nAnswer: -522*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 1) + -1 + 175 + -319 + 100 + 7\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 6:11 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2)**(-1\/6)*o**(-2\/5)*o**(-3) assuming o is positive.\nAnswer: o**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27552\/(-1476))\/((-6)\/(-9)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2859, 5863, 8867, 11871?\nAnswer: 14875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.030535s in nanoseconds?\nAnswer: 9030535000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -150*t**2 + 286*t**2 - 150*t**2 - 5*t. Let x(h) = 119*h**2 + 42*h. Let v(z) = -42*n(z) - 5*x(z). Let l(d) = 5*d**2. Determine v(l(w)).\nAnswer: -175*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.152225 litres to millilitres.\nAnswer: 7152.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -0.4 (b) 4 (c) -1 (d) -3416\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -80. Let h(q) be the first derivative of 0*q**4 + 1\/5*q**5 + 0*q**k + 0*q - 2 - 5\/2*q**2. What is the second derivative of h(y) wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 32 + 4 = 0. Suppose 7*i - 2*i = 60. Let g = i + q. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093 divided by 489499?\nAnswer: -1093\/489499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + v + 0)*(-4*v**2 + 0*v**2 + 6*v**2) + v**3 + v**2 + 0*v**2 - 2*v**2.\nAnswer: 3*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*t + 161 = 200*t - 151 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 4*u**2 - 4*u + 7. Let r be o(-5). Let t be (8\/(-6))\/(r\/15). Let l = -7 - t. Solve 0 = -b - l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100239*x**4 + 8*x**2*y + 1099657*y wrt x?\nAnswer: -400956*x**3 + 16*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/4*(-16)\/(-20). Let b be (r - 2)\/4*309. Let s be 2 + b\/75 + 2. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -239, -238, -237, -236, -235?\n\"Answer: k - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 0*n**2 - 2*n**2 + 1 - n. Let g(m) = -5*m**2 + 16*m + 16. Let l(v) = 2*v**2 - 5*v - 5. Let a(o) = 2*g(o) + 7*l(o). Give -2*a(d) - 5*x(d).\nAnswer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*((-4 - 3) + 15). Suppose 0 = -5*k - y - 2*y + 60, y = k - 4. Sort 1, -5, k, q in increasing order.\nAnswer: -5, q, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 810, 749, 666, 555, 410?\n\"Answer: -h**3 - 5*h**2 - 39*h + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5200 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5928 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Let g be 1 - (1 - (j - -1)). Suppose g*o + 3*b = 22, -1 = o - 5*b + 14. Solve 3*r = o*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(9\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = v - 5*o - 2, -v = -2*o. Solve 3*c + 5 = 2*s - 4, 0 = -c - v*s + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631*i + 8274*i + 35225*i.\nAnswer: 42868*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljlu. Give prob of picking 1 l, 1 j, and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 3*p + 1023*p**2.\nAnswer: 1023*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1\/2))**(-37)\/((z**(-7)*z)\/z*z**0))\/((z**(-1\/3)\/z)**17*z**(2\/13)*z**(1\/8)) assuming z is positive.\nAnswer: z**(-8147\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7950000 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*h + v, -5*h + 7*v = 2*v + 30. Calculate the smallest common multiple of 5 and h\/((27\/6)\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2737 divided by -3?\nAnswer: 2737\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 2.1. Let m = 1 - q. Is m < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15110067?\nAnswer: 3, 7, 83, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22761, 45529, 68297, 91065, 113833?\n\"Answer: 22768*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 27. Which is smaller: 7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283 - -510. Suppose 2*x - i = -s + 5*x, 3*x + 705 = 3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2717*t**2. Let x(i) = -6386*i**2. Determine x(r(l)).\nAnswer: -47142020354*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/13 - 2216*k**3\/13 - 607130*k**2\/13 + 3722988*k\/13.\nAnswer: -2*k*(k - 6)*(k + 557)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*m - 36*m + 3*j + 1920, -2524 = -4*m - 2*j. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022954 to seven decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/10*(-21)\/(-42)*((-192)\/(-8))\/(-12)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 15*h**2 - 14*h + 5. Let k be r(14). Let z = 4.17 - -0.03. Let n = -0.2 + z. What is the nearest to 0 in k, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 13 + 73. Suppose -2*k = -6, 3*l - z = -0*l - 5*k. Let x = -4 - l. Sort 0, x, 1 in decreasing order.\nAnswer: 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-2)\/(-44)). Let k = -5 - -12. Let q = j - k. Calculate the remainder when 7 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.9? (a) -4 (b) -779 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + -178. Let l be (y\/(-10))\/((-28)\/70). Which is bigger: l or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/168)\/((-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 38 - 17 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2975820 to the nearest ten thousand.\nAnswer: 2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -371371553\/2369 + 156763. What is the common denominator of b and 5\/8?\nAnswer: 18952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, 20, 1043, 2710, 5015, 7952?\nAnswer: 11515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47288257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctyqjjec. What is prob of picking 1 q and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29432 + 4763 = -9*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-206)\/(-88)*1 + 38187\/(-16972)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 6*f + 8. Let m = -203 + 147. Let q be m\/(-16)*(-24)\/14. What is j(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/1)\/(-4) - -3. Suppose 4*d - 109 = -3*x, 2*x + 0*x = v*d + 65. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 + 17*f - 11. Let b(k) = 5*k**2 + 11*k - 7. Let i(z) = -8*b(z) + 5*p(z). Give i(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.06, 0.6, -1\/8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 1:14 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(2 - (-11)\/(-3)). Suppose -11*r + 2*r = 36. Put 2, u, r in ascending order.\nAnswer: r, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - -1*(-2 - (4 - 5)). Is (c\/(-14))\/(34\/106862) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*y + 217*g**3 + 2*g**2*y + 193*y wrt g?\nAnswer: -6*y + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)*y\/(y*y\/(y\/((y*y**15*y)\/y))*y))\/((y**3*y*y*y*y)\/(y**(-5)*y)) assuming y is positive.\nAnswer: y**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*842\/7157.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -83576 to the nearest 1000.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - p)*(0 + 0 + p) + 3*p - 3*p - p**2 + (3*p - 4*p + 3*p)*(-1 + 2*p + 1) - 2*p**2 - p**2 + 5*p**2 - 2*p**2 - p + 0*p**2 + 0*p**2.\nAnswer: 5*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/9 + 638*x**4\/9 - 18646*x**3\/3 + 972706*x**2\/9 + 2349860*x\/9 - 1089088\/3 = 0?\nAnswer: -3, 1, 26, 119, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 6. Let m be j(-8). Let k(h) = -26*h**3 - h**2 - h - 1. Is k(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -33. Factor 15*g + z*g**3 - 9 - 15*g**2 + 4 + 0*g + 5*g**3.\nAnswer: 5*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**3\/5 + 234*f**2\/5 - 1092*f\/5 - 3168\/5.\nAnswer: -6*(f - 33)*(f - 8)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9945958483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 2 + 4 + 0*n. Suppose 0 = -3*l - 2*l. What is the units digit of g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*c + 6107 = 0, -3*a + 1809 + 1864 = -4*c. List the prime factors of a.\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1) + (-175)\/10 + 18. Let u be -2 + 2 + 7*10\/1505. What is the second biggest value in u, g, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**5\/20 + 5*x**4\/12 - 2*x**3\/3 + x**2 + 3*x - 8. Give j(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 4, l: 4, e: 2}. Give prob of sequence neel.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2985844429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6\/7 (b) 4 (c) -1.9 (d) -2 (e) -28\/9 (f) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15\/6 + (60\/80 - 10\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 19 + 16 + 26 - 61 - 86*a**2. Let u(v) = 2*v. What is w(u(x))?\nAnswer: -344*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 5)*(5 - i - 5) - 4*i - i + 2*i + 3*i - 4*i + 3*i + (0 - 1 - 1)*(-10*i - i - 2*i).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 30 = h + t, 3*h + 4*t = 35. Let c(r) = 3*r - 7. Let v(n) be the first derivative of 2*n**2 - 8*n + 1. Calculate h*v(x) - 6*c(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.325 - -0.3. Let u = 0.941 + -0.216. Let q = h + u. Which is the smallest value? (a) q (b) -5 (c) -2\/11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 524 and 83488.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/948 and 129\/26860?\nAnswer: 80580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 3*y. Let w(m) = 3*m**2 - 5*m. Let g(k) = 6*w(k) - 10*z(k). Let v = -1 - -1. Let q(b) = 0 + v - 6*b. Calculate q(g(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 887 + -886. Calculate the lowest common multiple of 207 and y.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -138*u + 2. Is 20 a factor of g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 238, 1\/37, -4, 5.\nAnswer: -4, 1\/37, 0.2, 5, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 + 15*b**3 - 8*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 520 and 5876?\nAnswer: 58760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 950 and 20.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 + 2088662*h - 2088664 = 0. Calculate h.\nAnswer: -1044332, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 894*j**2. Let w(m) be the second derivative of m**3\/6 + m + 3. What is p(w(z))?\nAnswer: 894*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4296132 divided by 2\nAnswer: 2148066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 843 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 260356*l - 27. Let q(h) = 6*h**2. Give d(q(g)).\nAnswer: 1562136*g**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4172*k**2 + 4*k**3 + 4172*k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, -3, -77, -151, -225, -299?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 1.2. Let u(c) = 13*c + 28. Let a be u(-2). What is the nearest to i in -0.2, -3\/8, a?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - m - 58*m**2 + 420*m**2.\nAnswer: 362*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35862 or 2976534\/83?\nAnswer: 35862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 - 10*r - 26. Let l(o) = 6*o**2 + 12*o + 25. What is -7*d(p) - 6*l(p)?\nAnswer: -p**2 - 2*p + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419418 is divided by 130.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/((h*h**2*h)\/h))\/h))**(-1\/3)\/(h**(-3\/7))**12)**25 assuming h is positive.\nAnswer: h**(2000\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(90)\/sqrt(294) + sqrt(15))\/sqrt(3) - ((sqrt(80)\/sqrt(4))\/sqrt(4) + 1*sqrt(20)).\nAnswer: -6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from bbaaaabaaabbb.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 9. Solve v = k*v + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -351*k - 129526. Give y(-369).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -753 or -754?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(2))\/(sqrt(4) - sqrt(196)*1).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 - 48*t + 24. Calculate g(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*q + 4)*(7 - 11 - 5) + (2 + 3 - 7)*(3 - 3 + 2*q) + 4 - q - 4 + 72 - 72 - 9*q.\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2\/13 - 94*p = 0.\nAnswer: -611, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkvkkvvvvkvkkvvkkv. Give prob of sequence vkk.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 33*t - 1714. Let j be d(52). Let r(i) = -i**2. Let c(h) = 2 - 2 + 3*h**2 + 2*h. Determine j*r(a) - c(a).\nAnswer: -5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -73*1.1884\nAnswer: -86.7532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 395046*h + 281515.\nAnswer: 395046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3\/6 + k. Let u(z) be the third derivative of z**5\/20 - 18*z**2 - z. Calculate u(m(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20675 + -20672. Put 2\/9, -25, v, -0.4, 6 in descending order.\nAnswer: 6, v, 2\/9, -0.4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 21035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 1:29 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*q - 4*o, q + 2*o + 88 = 98 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/5 - 32*q**3\/5 + 18*q**2 + 324*q\/5 = 0. Calculate q.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 9845.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2 + 2)*((-2 + 1 + 2)*(-i + 3*i - i) + 2 - 3*i - 2 + 3*i + 45 - 45).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*o - 2*o + 23, 5*o + 5*d = 60. Determine r, given that o*r**3 + 16 + 3*r**2 - 15*r**2 + 2*r**4 - 15*r**3 + 8*r = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*z + 314, -5*t - z - 4*z + 750 = 0. Suppose 16*x = -3*x + t. Calculate the remainder when x is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 6 - 5*d**3 + 8*d**3 - 5*d**4 in the form g*d**3 + j*d + n*d**4 + k*d**2 + l and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 39*t**2 + 208*t - 321. Let y be n(33). Calculate the highest common factor of 5877 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 3}. What is prob of sequence bbo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311 (base 4) in base 5?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 18 = -3*l, -l = 2*d + l + 2. Suppose -7*g = -d*g. Suppose g = 3*i + i - 48. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1528065 by 27783.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -196778\/9 + 21864. What is the third smallest value in -27\/7, k, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1224c (base 14) to base 2.\nAnswer: -1010110101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2db68c (base 15) to base 11\nAnswer: 1283585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 12*c**2 - 4*c + 20. Let l be p(-11). Calculate the highest common factor of l and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.749 + 1.251. Which is smaller: -155 or w?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213513*o**4 - 2*o**2 - 99885*o.\nAnswer: -5124312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(357)\/(5*sqrt(56)\/sqrt(8)))\/(sqrt(9)\/(sqrt(363)*2)).\nAnswer: 22*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 27521 divided by 1\nAnswer: 27521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 6:09 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 + 165. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 9*j**2 - j - 7. Let l be r(-9). Calculate the highest common factor of l and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/5 - 40848*m**2\/5 - 163416*m\/5 - 163424\/5 = 0. Calculate m.\nAnswer: -2, 20428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*x + 900 - 900.\nAnswer: 409*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3528*c**3 + 2*c**2 + 2*c - 1. Let q be s(2). Let i = -507961\/18 - q. What is the common denominator of i and 13\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -21*g + 25*g. Calculate the remainder when g is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*(-2)\/(-7*2\/(-28)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in 1\/8, 2, -1, 1\/176, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-110))\/(7\/12*(-1216)\/5320)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/4 of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(304)*3 + -3 + sqrt(304) + -1)**2 + 3.\nAnswer: 256*sqrt(19) + 19470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-11)\/m)\/m)**(1\/2)*m\/m**(-20)*m*m*m*m**(4\/5)*m*m assuming m is positive.\nAnswer: m**(203\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-700)\/750)\/(56\/(-1260)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -66635?\nAnswer: 1\/13327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-1 - -10)) + 15 + 27 - (5 + -3)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131153797 to the power of 1\/2, to the nearest integer?\nAnswer: 11452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 2*j - 6. What are the prime factors of y(6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or 184.3?\nAnswer: 184.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 16.7. Let w = -4.3 + z. Let k = 2 - 1.8. What is the third smallest value in k, -2\/7, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*i - 436*i + 872*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12386 - -12381. Which is bigger: s or -18.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**4 - 3*o**4 + o**4)*(2 - 2 - 1).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5132?\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from {b: 1, j: 1, d: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1290 in -3095, 2\/13, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -93806 divided by 89\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.14 + 0.81. Let x = -0.17 + d. Which is smaller: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022.6311 rounded to the nearest 10?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:25 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -8 - (99 - 2)) + -30 + 27 + 7?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 14499877\/4 and 3624968 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 250*n + 3152. Determine r(262).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 48051395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b. Let v(m) be the first derivative of m**5\/60 - 10*m**2 - 3. Let j(y) be the second derivative of v(y). What is j(c(s))?\nAnswer: 121*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19184475?\nAnswer: 3, 5, 229, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.358 rounded to 0 dps?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**5\/20 - 47*k**4\/36 - 4*k**3 - 14*k**2\/3 + 99*k. Factor b(j).\nAnswer: -(j + 1)*(j + 14)*(3*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1434 - 265?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 3:00 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*h**3 + 52*h**3 + 17*h**2 - 21*h**2 to the form i*h**3 + t*h**2 + q*h + s and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8729*c**2*g*m**3 - 2*c**2*m**3 + 3970*c**2*m**2 + c*m**2 - 7*c + 2*g*m**2 + 2*g*m wrt m?\nAnswer: -52374*c**2*g - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13062406 (base 7) in base 16?\nAnswer: 122f68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 104\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-1\/2))\/q)\/q)**(-8)*q*(q\/((q*q**6\/q)\/q))\/q*q*q**(-2\/15))**(-3\/17) assuming q is positive.\nAnswer: q**(-133\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*n**3 + 2*n - 178 wrt n?\nAnswer: -105*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**2 + 2*m**4 + 3*m**2 - 4*m**4 + 3*m**2 wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 2.3916752?\nAnswer: 2.3916752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-18)\/10)*150\/625?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**16)\/i**(2\/9)*i**(6\/17)*i**(-11) assuming i is positive.\nAnswer: i**(-3958\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 590*p**2. Let m(u) be the first derivative of u**3\/3 + 446. Determine m(x(k)).\nAnswer: 348100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164\/175, 1\/3, -17, 0.091 in descending order.\nAnswer: 1\/3, 0.091, -164\/175, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k. Let c = 1 - k. List the prime factors of (-1)\/(c*2\/(-34)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 12:57 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/25 - 1902\/(-30). Suppose -16*h = -20*h + u. Let o be (-2)\/8 - (-436)\/h. Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 3. Suppose 6*y - 156 = -144. Suppose 4*o + 5*c = y - 8, -2*c = 2*o + 2. What is the biggest value in 4\/7, 4, r, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:00 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*c*p**3*z**3 + 2*c*p*z**3 + 6*c*z**2 - 218*p**3*z**2 + 5*p**3*z - 5*p**2*z - 1342*p**2 wrt p?\nAnswer: -240*c*z**3 - 1308*z**2 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6987\/74 + 189\/2. Which is the third biggest value? (a) -3 (b) j (c) -0.071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23253*i - 23167*i = -8170 for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*d. Let h be 8*d\/6 - 1. Suppose 0 = -p + h*p. Let s(j) = -j + 4. Calculate s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/5*(-8)\/(48\/(-10)). Let r = -15 - -10. Are r and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/9 - 16*s**4\/9 - 26*s**3\/9 - 4*s**2\/3.\nAnswer: -2*s**2*(s + 1)**2*(s + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 620 and 80.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -188944 divided by 28\nAnswer: -6748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c**2 + 6*c**2 + 2 + 12*c**2 - 13*c**3 - c to the form q + x*c + a*c**3 + d*c**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 145530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (4 - (-23 + 21))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**2. Let k(q) = -13*q. Give k(a(m)).\nAnswer: -91*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27054 is divided by 94.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20093 - -4?\nAnswer: -20089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 18. Let u = -1557 - -1549. What is x(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -20, -84, -1 in decreasing order.\nAnswer: -1, -13, -20, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1154964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4215 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2236.654 years to millennia.\nAnswer: 2.236654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17.867449 * -51\nAnswer: -911.239899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 584369 - 584369.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2 - 68. Let t be (o\/3)\/(280\/(-99183)). Let i = 2597 + t. Find the common denominator of -19\/10 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 1*-4*(4 + 2*sqrt(171) + sqrt(171)))**2*6 + -3.\nAnswer: -451173 - 27216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 3*t**2 - 950*t + 3886. Determine z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1370)\/(-7)*(-3)\/68. Let b be ((-6)\/8)\/(51\/14). Let x = l - b. Find the common denominator of -25\/6 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f - f)*(2 + f - 2) + (1 - 2 + 4)*(2*f**2 - 4*f**2 + 4*f**2) + 4*f - 2*f**2 - 4*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**41)*b)**(-17))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 102184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 31*x**2 - x + 3. Let j = -18 + -15. Let p = j - -31. What are the prime factors of n(p)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-2*1 + (-120)\/45))*0. Which is bigger: -4\/893 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 4:17 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 2*c + g - 1397, -5*g + 1385 = -5*c. Find the common denominator of (-26)\/36 + (-6)\/27 and (-3350)\/c + (-4)\/(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6277 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5*(-25)\/(-35). What is the smallest value in 2\/5, q, -0.02?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, c: 4, h: 2}. Give prob of picking 1 c and 1 z.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 16 = 5*p - 4*x, -x = 5*p + 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -11. What is the highest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.134 and 17705.3386.\nAnswer: 17705.4726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 1, z: 1, y: 1}. Give prob of picking 1 p and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3093, -12630, -28529, -50796, -79437, -114458, -155865, -203664?\n\"Answer: -m**3 - 3175*m**2 - 5*m + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (1 + -2)*-3. List the prime factors of 4\/4 - (t - 13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -339646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 106651 divided by -23?\nAnswer: -4637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 253 times -17\nAnswer: -4301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730*v**2 - 5686*v + 5686*v.\nAnswer: -1730*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, a: 2}. Give prob of picking 1 i and 2 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 58 times -0.1\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - 1002233221230?\nAnswer: -1002233221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 646718, 646726, 646748, 646790, 646858?\n\"Answer: a**3 + a**2 - 2*a + 646718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*w + 15*w. Let m = -2 + 6. Let c(y) = -3*y + 6*y - m*y - y**2 + 2*y. Give c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, -47.26, 11044, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1096 = 5*w + 381, 2*w = -2*l + 270. Calculate the remainder when w is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 892310 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 38 - 8 = 0. Let d(w) = w**3 - 5*w**2 - 5*w - 4. Let a be d(6). Suppose -a*i - 72 = -6*i. What is the least common multiple of i and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 1 + 41*p**3 + 1.\nAnswer: 38*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, -17, 4, -1\/5, 0.1 in increasing order.\nAnswer: -17, -1\/5, -1\/12, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 277931831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.63 + -3.630792. Round r to 5 decimal places.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {j: 2, n: 1, r: 1, s: 1, f: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23545 divided by 277?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3900*p**5*r + 2*p**2*r - 2846*p*r + 2*p + r wrt p?\nAnswer: 78000*p**3*r + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aod when three letters picked without replacement from {o: 1, d: 2, a: 1, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*z - 7*p - 35, z = 5*p + 19. Suppose -z*r + 7*r = 33. What is the remainder when 53 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10669 + -10527. Solve -11*z + d = 164 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:27 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/30*1\/(-15).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 68. Suppose s = 5*j - 45, -2*s + o = 2*j + 3*j. Solve 0*h - 5*h + j = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t**2 + 2*t - 3. Let m be n(2). Let z = -1130 - -1142. Are m and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -25 - (69 + -14 + 7 - 11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 930\/24*(16 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*((sqrt(1584) + -2 - sqrt(1584))*-4 + 1*sqrt(1584) + 4))**2.\nAnswer: 288*sqrt(11) + 1723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(51\/42)\/(-17). Which is the second smallest value? (a) 0.7 (b) -9 (c) -1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49.957 + -0.043. Let s = 10223 - 10218. What is the smallest value in s, -1\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.81 less than -0.096?\nAnswer: -3.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253.8 rounded to the nearest ten?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/4030)\/(7\/(140\/1))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -2*o - 6, 18*w - 15*w + 6 = -2*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 4*m - 2. Let b be u(-5). Suppose 19*t - 149 = 22. Suppose -8*q = -t*q + 10. Solve 3*d + 4*y = -y + q, 3*y = -b*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -2*i**7\/105 - 2*i**6\/15 - i**5\/15 + i**4 - 519*i**2 - 2*i + 1. Factor c(t).\nAnswer: -4*t*(t - 1)*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*k = -186*k + 150202. What are the prime factors of k?\nAnswer: 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13756620, -13756622, -13756624, -13756626?\nAnswer: -13756628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose 0 = -t*x + 2 + 18. Let b(v) = 3*v + v + x + 4 - 5*v**2 + 3*v - v**3. Give b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.37 + 0.148. Round i to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gynym. Give prob of sequence gm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + 9.5. Which is the closest to 0? (a) -4 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2330993795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -5 + sqrt(396) + 1 - ((sqrt(396)*-3 - sqrt(396))*4)**2) + -1*(sqrt(33)\/sqrt(12)*-6)**2.\nAnswer: -101479 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let w = l - -12. Suppose -i - w = -4*i. Solve -17 = i*h - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/11 + 72*u**2\/11 - 768*u\/11 + 2048\/11 = 0.\nAnswer: 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**3 + g**2 - 3*g + 6. Let d(i) = -i**3 - i + 1. Let q(a) = 5*d(a) - n(a). Let f(h) = -4*h**3 + 3*h**2 + 5*h + 3. Give -2*f(m) - 5*q(m).\nAnswer: -2*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-30) - 4\/10. Let h = 4806 + -4809.103. Let l = 0.103 + h. Which is the third biggest value? (a) -0.2 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355093.\nAnswer: 523, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 13 - 13. Let m be 12 + -13 - (-3 - y). What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 1, 13, -3, -1, 5 in descending order.\nAnswer: 114, 13, 5, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*j + q, 7*j + 2 = -3*q + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686 (base 12) in base 15?\nAnswer: 149c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -605*k + 1210*k - 1 + 8*k**4 + 16*k**2 - 602*k - 2*k**3 to the form c + b*k**4 + d*k**2 + p*k + l*k**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 112 = -19*j. Let g(n) = 3*n**3 - 19*n**2 + 11*n + 17. Is 25 a factor of g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 0*x**2 + x**2 + 8*x**2 + 14*x**2.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 577 - 581. Calculate the smallest common multiple of (1520\/(-18))\/z - (-14)\/(-126) and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -110001*s + 6. Let k be c(6). Round k to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(1\/2)\/i))**(-16\/9)*((i\/(i\/i**7*i))\/i)**(-20\/7) assuming i is positive.\nAnswer: i**(-356\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8560 divided by 8560?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.268 - -2.968. What is the closest to 1\/2 in 1\/4, 3, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/3 + -2 + 1. Suppose -3*f = -4*k + 9, f = l*k - f - 10. Let c = 6 + k. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 - -225?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -1\/450*o**5 + 1\/180*o**4 + 0 + 2\/45*o**3 - 33*o**2 + 0*o. Factor m(s).\nAnswer: -2*(s - 2)*(s + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899.067491 rounded to the nearest 10?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 31 = 9*k - 2*x, 3*k = 3*x + 6. Calculate the remainder when 5 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 506 (b) 2 (c) -8 (d) 1\/32 (e) -161 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 13*v + 20 = -17*v, 5*z - 5*v + 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -222 - -225. Suppose v*k + 274 = 5*x, 0*x - 4*k = -x + 65. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3780, 0.4, 1 in increasing order.\nAnswer: -1\/3780, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*j + 3 - 10*j + 38*j)*(2 - 2 - 2*j**2) to the form m*j**3 + r + z*j**2 + x*j and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 26*z**2 + 43*z + 8. What is the hundreds digit of p(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-15) + 170\/(-6). Let q be -3*(-2 + j\/(-12)). Let r(s) = -63*s**3 - 3*s - 2. Is r(q) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 616 or 615?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 5*d = -276. Let u = 97 - d. Suppose 5*y - 2*l - 654 = y, -u*y = 4*l - 824. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 41, 133, 315, 617, 1069, 1701, 2543?\nAnswer: 3625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.348 + -0.39. Let v = y + 0.096. Let m = 0.354 - v. Which is the nearest to 3? (a) -4\/5 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Let z(r) be the third derivative of 0*r + 0 + 0*r**3 - 1\/12*r**4 - 5*r**2. Calculate z(w(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - 2*k + 4. Let w = 26730 - 26700. What is the smallest common multiple of w and m(3)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.729 and -0.03 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7)*-1)\/((-6)\/21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12787*z**2 + 3*z**3 + 6441*z**2 + 6333*z**2.\nAnswer: 3*z**3 - 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232.5311 centuries to months.\nAnswer: 279037.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0190530149 rounded to five dps?\nAnswer: -0.01905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 148977 or 148980?\nAnswer: 148980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15731250 less than or equal to 15731248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*i**2 - 589*i**2 - 1684*i**2 - 1059*i**2 + 289*i**2.\nAnswer: -3106*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 4*p**2 - 5*p + 1. Let x(j) = j**2 - j. Suppose 0 = -l + 2*k - 15, l + 0*l - 4*k + 25 = 0. Give l*x(q) + g(q).\nAnswer: -q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**6\/18 - j**5\/20 + 7*j**4\/36 + j**3\/6 - j**2\/3 + 40*j. Find d such that z(d) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*d**3 + 41*d**3 - 162*d**3.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230 - 222. Solve 8*i = 8 + j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/913493 and -85\/1036938.\nAnswer: 38366706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10277742 and 4740?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*l**2*n + 935*l**2 + 16*n**4 + 3 wrt n?\nAnswer: -19*l**2 + 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/19 (b) -5\/7 (c) 1006 (d) 3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*b + 4*n, -5*b + n = -0*n + 53. Let h(m) = 8*m**3 - 2*m**2 + 10. Let z(c) = -c**3 - 1. Calculate b*z(r) - h(r).\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v - 93*v - 204. Sort -3, v, 0, 4 in decreasing order.\nAnswer: 4, 0, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111 (base 2) in base 15?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468119757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - 111. Suppose 0 = 2*p + 2*n - 150, w*n + 223 = 3*p + 10*n. Let g = -52 + p. Solve -g = -8*y + 13*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/127 - -30065\/381. Let w = -78 + o. Which is the closest to -0.1? (a) w (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 65 = -7*u. Suppose 0 = 2*d + 3 - u. Put d, -1, -2 in increasing order.\nAnswer: -2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11232 and 7056.\nAnswer: 550368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t - 4*n + 10, -4*t - 4*n = -16. Suppose -3 = t*p - p. Suppose 2*g - 5 + 1 = 0. Put g, -5, p in descending order.\nAnswer: g, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 10*d - 13. Let s be z(9). Let o(w) = 4*w**2 - 8 + 11 - 1 - w**3 - 9 - 3*w**3. Let v(g) = g**3 - g**2 + 2. Give s*o(u) - 14*v(u).\nAnswer: 2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5\/2 + 76*s**4 - 3748*s**3 + 64928*s**2 - 166440*s - 623808 = 0.\nAnswer: -2, 6, 38, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17.6 and -77629754811.\nAnswer: -77629754793.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/12)\/(4\/54). Solve 0 = 5*n + 11 + p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddltddzdddddwdzd. What is prob of picking 1 t, 1 d, and 1 l?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6 and -45\/4924984.\nAnswer: 14774952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5809 and 16243.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwvvvvvwvvwvvv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 10*k**2 + 18*k - 91. Determine i(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzgzuguguuuuvag. Give prob of sequence gag.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -56, -97, -148, -209?\n\"Answer: -5*f**2 - 16*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353274 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: -319816 divided by -11422\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 4, y: 4, s: 3, k: 1, w: 2}. Give prob of sequence aky.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4341226.\nAnswer: 2, 401, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1345214 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.18 - -0.18. What is the third biggest value in d, 5, 0.2, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 15*u + 13. Suppose -5*c + 7*c - 8 = 0. Let m(o) = 7*o + 6. Suppose -4*b + 4*l - 32 = 0, -2 = 5*l + 3. Calculate b*m(i) + c*a(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3008 and 103\/23966804.\nAnswer: 383468864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -14*u**5\/5 + 20*u + 26. What is the derivative of h(l) wrt l?\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 328 and 129380.\nAnswer: 10609160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 21*b**3 + 2 + 19*b**3 - 39*b**3 + 18*b**2. Let m be f(-18). Let j be (-4)\/6 - 4\/(-6). Solve j = -m*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/6 - (-6)\/18*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (-1)\/(1\/(-1)). Let a(d) = -d - 3. Let s(j) be the third derivative of -j**4\/24 - j**3\/3 + 10*j**2. Let g(u) = 5*a(u) - 6*s(u). Determine g(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -l - 3*l. Let c be 5\/(5\/(-2)) + l. Suppose q - c - 1 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m + 4. Let y be w(0). Find the second derivative of 2*x**5 + 10*x**5 - 12*x + 11*x**5 - y*x**5 wrt x.\nAnswer: 380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 + (-7 - (6 + -11)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:31 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - -11 - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-43))**5 assuming s is positive.\nAnswer: s**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48043)\/(-6420) + (-66)\/9?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 3*k**4 + k**4)*(19 - 27 - 116)*(1 - 1 - 2)*(0 + 1 - 3).\nAnswer: -2480*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 20 = 5*o. Let x = o - 29. Is 2510\/6 + (-26)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, -2, -21?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4071 - 4068, 5*u = 3*j + 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 11:56 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2416.49 + 60995.\nAnswer: 63411.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2534\/(-21))\/(6\/9). Let m = -91 - g. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2704*j + 1275*j + 1330*j.\nAnswer: -99*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185 - 140. Suppose -c + 63 = -6*f. Let i be (-1)\/((-6)\/f - -2). What is the nearest to 1\/4 in -1, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -446 + 1094. Calculate the remainder when d is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2, 1\/4, -4\/471?\nAnswer: -4\/471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y - 9. Let p be s(4). Let j = 278 - p. Let z = 457 - j. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*m + 4, m + m + 2*l = 24. Suppose 2*o + 4*k = m + 10, 0 = 3*o - 3*k - 18. What is the highest common divisor of o and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(5180 + 8758 + 405)*(3*s + 2*s**2 - 3*s) in the form z*s**2 + q + u*s and give z.\nAnswer: 28686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 752 - 750. Which is bigger: g or 0.02?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 843 or 842?\nAnswer: 843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25.9 (b) 5 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243707 (base 8) to base 7.\nAnswer: -466432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -33*l - 275. What is y(-10)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 - 122*i**2 - 79*i + 58. Give m(-40).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - b = 3322, -5*b + 4*b + 1667 = y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/17)\/(b**(3\/7)*b*b))\/(((b*b\/b**8)\/b)\/(((b*b**(2\/5))\/b)\/b))*(b**(2\/7)*b**(-3\/4))**(1\/67) assuming b is positive.\nAnswer: b**(613419\/159460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 558*d + 7421*d + 5321*d.\nAnswer: 13300*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2166722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 0, -12, -0.12, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1184 = -6*n. Let v = n - 99. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/1*53\/((-4452)\/72).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:52 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3 + 0*i**2 + 2 - 5 - i**2 - 12*i. What are the prime factors of n(-9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nixmmnnmxn. What is prob of sequence xnmm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, and 1 v when three letters picked without replacement from ttuitiuuvtstiitiki?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -634 + 2493\/4. Let o = -1\/1755 + 27497\/3510. Find the common denominator of z and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**4\/12 - 11*c**3\/6 - 9*c**2 + 171*c - 102. Let a(x) be the first derivative of o(x). Factor a(r).\nAnswer: -(r + 2)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -3, -5, -7, -9?\n\"Answer: -2*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 4*a**2 + a + 9. Let o be n(-4). Suppose -1 = g, 3*g + 6 = 2*d - 1. Suppose v = d, 14*v - 28 = -m + 10*v. Solve -o*s - m = -0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**2 + 12*s + 4*s**2 + 3*s**2 + (1 - 1 + 2*s)*(423*s + 458*s - 617*s).\nAnswer: 529*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6432297 to the power of 1\/2, to the nearest integer?\nAnswer: 2536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + ((-16)\/(-2))\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*o**3*v - 2*o**3 - 16*o**2*v + 2403*o**2 - 988242*o + 39*v wrt o?\nAnswer: 66*o*v - 12*o - 32*v + 4806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m = -6. Let q be (18\/27)\/(m\/9). Solve -3*l + 2*h = 3*h + 15, -q*h = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9421, -9423, -9425, -9427, -9429, -9431?\nAnswer: -9433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1168 + 1336 = 0. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0)*4\/4. Suppose 0 = -228*i + 227*i - 1. What is the nearest to i in v, 2, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(252\/8) + 110\/7. Calculate the remainder when 12\/n - (-916)\/16 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-2)*(d**(-2\/5)\/d)**39)\/((d**0*d)**(1\/15)\/(((d\/(d*d*d**(-3))*d)\/d)\/(d\/((d\/((d*d\/d**(-2)*d)\/d))\/d)))) assuming d is positive.\nAnswer: d**(-167\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)*q)\/q*q)**(1\/61)*(q**(-5)*q)**(11\/2) assuming q is positive.\nAnswer: q**(-1343\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11447 - 9620. Is a a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 5*s**2 - 5*s - 212. Give f(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1 + 14\/3. Let c(u) = -u**3 - 57*u**2 - 161*u + 57. Let n be c(-54). What is r in 0 - 2\/3*r + 3*r**5 - a*r**2 - 7\/3*r**n + 11\/3*r**4 = 0?\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -37. Suppose 5*d = -9 + o. Solve -5*h = 3*x - 27, 2*x + 5*h - 21 = d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86)\/18 - (-16)\/24) + 2\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25534.5629 to the nearest 10.\nAnswer: 25530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*b + 65, 4*b + 80 = 3*j + 25. Let a(g) = g + 1. Let w be a(0). Let n be ((-12)\/(-9))\/(1*4\/(-12)). Put n, w, j in decreasing order.\nAnswer: j, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 3114974?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*v + 27 + 64 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiqtxxeqttiixkkq. Give prob of sequence qt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 2*x**2 - 47*x - 15 + 5 + 43*x. Let s be y(7). Find the second derivative of -5*b - 8*b + s*b**2 + 2*b + 11*b**2 wrt b.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 412142\/3 or 137380?\nAnswer: 412142\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*s = -4, -x = 4*s - 2*s - 8. Differentiate -2 - 16*f**3 - 4 - x wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 188*w - 582.\nAnswer: 2*(w - 97)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 4:48 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.24. Let x = -0.1 - -0.26. Let b = l - x. What is the nearest to 2\/3 in b, -3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000 + 110011?\nAnswer: 100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, y: 5, w: 4}. Give prob of sequence wywy.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-58 + 47) - 17\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 201*g - 198*g - 15. Let m(i) = -i**3 + 5*i**2 - 2*i + 7. Give m(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 323, 483, 643?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 27*i + 56. Let d be y(-2). Let x(q) be the first derivative of -q**2\/2 - q + 8. Let m(o) = -14 + 6 + 9 + 3*o. Give d*m(p) - 2*x(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9407 - -0.0593. Which is the closest to 0.4? (a) 0 (b) -0.4 (c) u (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 523575?\nAnswer: 1047150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/4)\/(-92*23\/184)?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*z**3 - 127522*z**2 + 9752807*z.\nAnswer: -114*z - 255044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - 12.4. Let v = -3105 - -3100. Is v smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 228 = -272 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*b + 5*b + 1 = 0, 5*j - 2*b = 9. Let q(a) = -a**3 - a**2 - a - 1. Let y(l) = l**3 + 2*l. Calculate j*y(n) + 2*q(n).\nAnswer: -n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -1197.\nAnswer: -34\/1197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 916*v + 2177 + 7079 = -1398*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 9. Let a be j(-9). Solve 26 = f + 5*k, -k - k + a = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 261 = -263. Let k = 2 - 2.1. Which is the nearest to 0? (a) 0.03 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 118934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1130568635113.9 and 0.2.\nAnswer: -1130568635113.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-2 + 13 + -19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3812152 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-12)*b*b*b*b\/(b**(-14\/5)\/b)*(b\/(b**17\/b))\/b**(-7) assuming b is positive.\nAnswer: b**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52592 - 52595.1499. Let b = 3.15 + x. What is b rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 731 - 1211. Let t be g\/(-18)*(-6)\/(-4). List the prime factors of -57*(3 + t\/(-12)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -17\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 5*j**2 - 2*j - 2. Let f be g(-5). Let y(i) = 16*i + 336. Let h be y(-21). Solve f = 4*o - h*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 7\/305, 2.\nAnswer: 7\/305, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(2\/1*-1). Let o(y) = 6*y**3 - 8*y**2 - 8*y + 4. Let f(h) = 2*h**3 - 3*h**2 - 3*h + 1. Determine g*o(b) + 8*f(b).\nAnswer: -2*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5311984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*sqrt(156)*2 - sqrt(156) - (sqrt(156) + (sqrt(156) - sqrt(156)*2)*-4 + sqrt(156)))\/(sqrt(120)\/(sqrt(10) + (sqrt(40) - sqrt(10)))*5)*2)**2.\nAnswer: 104*sqrt(13) + 35777\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 4*u - 3*u. Let r(g) be the second derivative of -g**3\/6 - 7*g. Give -9*r(j) - 2*y(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5 - 272*a**4 - 9192*a**3 + 812*a**2 + 27050*a - 18396 = 0.\nAnswer: -73, -63, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 63*q**3 + q**2 - 2*q + 9. Let j be 16\/2*((-55)\/22 + 3). Is m(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 68.047?\nAnswer: -1701.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -1, 100280, -1\/9, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 45*i + 2. Let z(y) = 22*y + 1. Let a(r) = -3*q(r) + 7*z(r). What are the prime factors of a(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkggkoogmmmmgggmx. Give prob of sequence gomm.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, -12\/11, -3, -1156 in descending order.\nAnswer: 2, 0.2, -12\/11, -3, -1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 6962765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**4 + 5*z**2 + z**4 + 2*z - 2*z**2 - 4*z**2 to y*z**2 + o*z + g*z**4 + x*z**3 + i and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-1))\/(6\/(13 - -5)). Suppose -d + p = -4*p - 27, -d = p + 3. Let s be 19\/4 - d\/(-8). Solve -y*i = -8*i + 4*b - 9, s*b - 8 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 896*n\/3 + 22493.\nAnswer: (n - 813)*(n - 83)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3*r + 2*r + 1)*(-5 + 5 + 8).\nAnswer: -24*r + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 9*x + b, -4*b + 13 = -2*x + 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 98 = 16*m, -4*w = 38353*m - 38348*m + 49 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4675 - -4674.8. Which is the third biggest value? (a) 2\/13 (b) -2\/5 (c) 11 (d) z (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 6:15 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p - 77. Let z be y(0). Let m = 157\/2 + z. Find c such that -m*c - 1 - 1\/2*c**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41.2 and -4944518072?\nAnswer: 4944518113.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22 - -2)\/(2\/(-5)). Let c = u - -17. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -150*u - 328. Let w(c) = 34*c + 82. Let f(t) = -6*a(t) - 26*w(t). Determine f(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) 5 (b) -100 (c) 1.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12628 - -12638. Solve 99 - 89 = -v*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-72))\/((-1)\/(-16)). Suppose -2*b - 3*h + 21 = 0, 0 = -b - h - y*h + 28. Let c = b + 3. What is the highest common factor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*t - 5360 = -37*t + 144*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3620 = -4248*r + 2438*r. Let t = 26\/9 - 173\/63. Sort -12, r, 0.2, t.\nAnswer: -12, t, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 12. Let n be g(19). Calculate the greatest common divisor of 26 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = 2*u, 5*u + 2*t - 12 = 0. Suppose r = -2*z + 6*z - u, -12 = -4*z - r. Differentiate -2*q**z + 15*q - 15*q - 1 with respect to q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14523 = 129*n - 26*n. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1746208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -23. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1968, -3934, -5900, -7866, -9832?\nAnswer: -11798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1567*s**3*t + 76443*s**3 - 3*s*t + 5*s with respect to t.\nAnswer: 1567*s**3 - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 + -73. Let g = 6 - 3. Let v(a) = 5*a - y*a - g*a + 2*a. Let i(x) = 3*x**2. Give v(i(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*c - 2*m, -4*c - 4*m = -0*m + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 5*q - 54. Calculate the remainder when n(12) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5 + 4\/5*u**3 + 8\/5*u**2 - 4\/5*u.\nAnswer: 4*(u - 1)*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2221022200?\nAnswer: -2221022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178 - -176. Put -5, -4, t in descending order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46009?\nAnswer: 139, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6693 = 2*f, 0*l = 2*l + 2*f - 2680. Let g = l + -10757\/8. What is the common denominator of 19\/60 and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1 + 6*q - 10*q + 0 + 2*q. Calculate s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**4\/12 - 7*k**3\/6 - 5*k**2\/2 - 5*k. Does 7 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13835 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q**2 + 10*q**2 + 11*q**2 - 32*q**2. Let w(k) = -49*k**2. Give x(w(f)).\nAnswer: 2401*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4793409.\nAnswer: 3, 532601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-4 - -14) + (0 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(9\/(-2)) - (-1476)\/54. What is the greatest common divisor of i and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 482 = -13070. Suppose 0*s = 16*s - h. List the prime factors of s.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/11 and 4 - (-2)\/((-40)\/166)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3025958367 + 93824839446\/31. Let s = -648884 + g. Let u = s + -473. Is 0 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 28.5. Which is the closest to 0.2? (a) q (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.02011, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(5*sqrt(375) - sqrt(375))\/((sqrt(15) + 2*sqrt(15))\/sqrt(3)))**2.\nAnswer: 320*sqrt(3) + 4816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46\/5 of a centimeter?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (-3 + -1 + 3)\/(1\/(-1091))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 12. Let v = -13.78 + q. Let m = -0.02 + v. What is the second smallest value in -0.5, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104513?\nAnswer: 104513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -52*c - 163. Give u(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 6 - 92)*(-4*o**2 + 7*o**2 - 2*o**2)*(-3*o**2 + 3 - 3).\nAnswer: 333*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1883170 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102682 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1 + c**2 + c**3 - 4*c**3 - 2 - c + 2. Calculate u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42750.69 millennia?\nAnswer: 513008280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 3, 9, 5, -2.\nAnswer: -2, 3, 5, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 132\/55 - 2\/5. Suppose u - 5*q = -c, q + 10 + 1 = 4*u. What is the second derivative of -6*b - 9*b**3 + 16*b**u + 5*b wrt b?\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:10 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 n when four letters picked without replacement from njneuneeejunju?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 85515693?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -229*c**3*u**2 + 9*c**3*u - 7*c**2*u**4 - 23*c*u wrt u?\nAnswer: -458*c**3 - 84*c**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 3\/6*2. Let u be -2 - (40 + -2 + r). Let b = u - -79. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 11*h - 14 = 0. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652086 is divided by 736.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260485, 520953, 781405, 1041841, 1302261?\nAnswer: 1562665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 5. Let a be l(-6). Let i = a + -2. Let h be 4\/(-10)*(-2 + i). Solve -2*p + 8 = p - m, -2*p + h*m = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 4, 0.3, -1\/4, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + 0.85. What is the second biggest value in 0.5, 1\/8, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 18 = -8*g. Calculate the remainder when 95 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 6*x**2 + 2*x + 8. Let q be o(-6). Suppose 3*g + 9 - 12 = 0. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34076 and 10242272.\nAnswer: 4868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530799 is divided by 5371.\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 12*o - 8. Suppose -16 = -4*y - 0*y. Suppose 5*u - 78 = -2*z, -y*u - 1 + 73 = 4*z. Calculate the remainder when 37 is divided by p(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.65 or -7.97?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*(-4)\/(-26). Let r be (3 - 5)*3\/((-3)\/2). Suppose r*f = -3*f + 7. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 - 1246\/(-56). Let a = 59 - w. Let k = 72 - a. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, and 1 q when three letters picked without replacement from nqssnjllslslsslsl.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 116021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7852414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 259*-38.\nAnswer: -9842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 4*a**2 + 1. Let m(d) = d**3 - 6*d**2 + d. Let n(g) = g**3 - 8*g**2 + 2*g. Let f(l) = 2*m(l) - n(l). Give 4*f(t) - 3*r(t).\nAnswer: t**3 - 4*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 201122?\nAnswer: 201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -531, -528, -525, -522?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + (-1664)\/56. Let y be (4\/2)\/(20\/m). Sort 4, y, 0.\nAnswer: y, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 2.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3579 = -41*j - 2964 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334 less than -3598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let a be -1 + 14\/(-10) + k. Let l be 442\/4641 - (2\/(-10) - (-26)\/(-70)). What is the third smallest value in l, 0.4, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 498*g**2. Let k be u(-1). Suppose k = 5*q - 1597. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -18*r**3 - r**2 - r - 1. Let z be b(-1). Let h = z - 42. Let q = h + 110. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d - 4*d + d + (-2 + 2 + 2*d)*(-6 - 10 - 89).\nAnswer: -208*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 less than or equal to 15237.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23654*x**2 - 99*x + 119.\nAnswer: 47308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -48.370604?\nAnswer: -3.86964832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10915*g - 52540 = -10989*g. Calculate the remainder when g is divided by 649.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 26*d**3 - d. Let v be q(1). Suppose -v = -3*s + 8*s. What is the common denominator of -89\/16 and 82\/(-40) + 5 + s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6386 is divided by 904.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7335, 2, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(570\/(-900) - (-4)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1304.3 - 1305. What is the fourth smallest value in 10\/7, -2\/5, -2, h?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 74 = -f + 51, 5*v + 27 = f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 - -0.07596047?\nAnswer: 1.67596047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -72. Let i be 22\/f + (-5)\/10. Solve -i*r + r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -38*o**2. Let z(s) be the third derivative of 0*s**3 + 0*s**4 + 0*s - 1\/12*s**5 + 195*s**2 + 0. Give z(c(d)).\nAnswer: -7220*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 - 70*k + 121200\/11.\nAnswer: -2*(k - 120)*(k + 505)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 4. Let m(n) = -8*n + 17. Give 2*m(x) - 9*v(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**2 - 2*d**4 - 2 - d**3 + 1 - 8*d**2 to the form f*d**4 + s*d + j*d**2 + h*d**3 + v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -1\/8 (c) -11 (d) 0 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/11, 3, 0.5, 0.4, 76, 3.503?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 18*i + 1.\nAnswer: -18*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - -2 - 8 - (28 - 29))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121607*m*o**3 + 694*m*o**2 + 59*m*o wrt o.\nAnswer: -729642*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 535*u + 43 - 539*u + 8*u**3 - u**2 in the form r*u**3 + o*u**2 + l + p*u and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 200?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(891) - -1*sqrt(891)*-1) + -2*-5*(-1 + sqrt(891)))**2 + 5)*-2.\nAnswer: -178410 + 3600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 46*l**2 - 516*l - 101. Let n be d(26). Put n, -1, -2, -20, -7 in decreasing order.\nAnswer: n, -1, -2, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 281904 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13818 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*h - 272 = -3*z, 3*h - 136 = -2*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 56*t - 16. Let z be f(19). Let x(o) be the first derivative of o**2 - 1\/3*o**z - 13 + 0*o. Determine x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107899251 divided by -1160207.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-270)*18*(-126)\/154)\/(12\/(-80)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (68\/12 - 5)\/((-1)\/63). Calculate the remainder when 1*5 + (87 - p) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arssqqaanaranoasaq. What is prob of sequence aq?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 4*r - 107. Let u be -2 + 178\/(-1) - 1. Let i = u - -1631\/9. Which is the nearest to r? (a) -1\/3 (b) i (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-25)\/125)\/(6\/(-40)). What is v in p*v + 0 + 2*v**2 = 0?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -920382902 minus 4271?\nAnswer: -920387173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5495, -13851, -22205, -30557?\n\"Answer: k**2 - 8359*k + 2863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 82. Let r(z) = 22642 - w*z - 22642. Let m(v) = -11*v. What is m(r(q))?\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:25 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:14 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Suppose 2*o - 36 = -7*o. Let f be 8 + o\/2 + -4. Suppose 0 = -f*y - 6 - 6. Calculate w(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1 + -2) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76597 is divided by 8150.\nAnswer: 3247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/74 and 89\/38.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -81 times 4.077911\nAnswer: -330.310791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-1390)\/(-556)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110876 and 485344?\nAnswer: 25723232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 + 2*i**2 - 1 + 0 - 4*i**2 - 2*i**3 to q*i**3 + g + f*i**2 + n*i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)*v\/((v\/(v\/v**(2\/3)*v))\/v))**(-11\/8) assuming v is positive.\nAnswer: v**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*r - 7*r - 7, -2*p + 4 = -2*r. What is the remainder when 3 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -428 + 488. Let p = 21 - -119. What is the highest common factor of q and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34052223 - -3?\nAnswer: 34052230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - w + 36. Let j be -2*(3 - w\/(-4)). Solve 0 = 2*f - 4*h + 24, -2*h - 4 = j*f - 0*h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**3\/8 + 24591*v**2\/8 + 12297*v\/4 = 0?\nAnswer: -1, 0, 8198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -11. Let u(d) = d**3 - 15*d**2 + 14*d. Let b be u(i). Suppose 5*y - 3*p - 1067 = 0, 2*y + 0*p - 4*p - 438 = b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2603418 to the power of 1\/2, to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1678 = -2*o + 2*d, 4*d + 3396 = 4*o. Suppose x - o = -4*t, 43*t - 42*t + 1 = 0. What are the prime factors of x?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 592173?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(2 + (-8)\/5). Suppose 95 = s*y - 40. Solve -4*k - 5*u = 3 - y, 2*k = -3*u + 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73673314 rounded to four dps?\nAnswer: 0.7367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*q = -47, -78*q + 83 = -g - 182*q + 81*q for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**2\/2 + 7*y - 1. Let h be i(-5). Suppose 0*b - 4*b - 4 = w, -w + h = -2*b. Which is greater: -1\/5 or b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 11\/2*s**2 + 106 - 13*s + 1\/3*s**3. What is y(-11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/o**(-1\/16))\/(o**(3\/2)*o*((o\/o**(1\/4)*o)\/o)\/o) assuming o is positive.\nAnswer: o**(-89\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 35*a + 70. Let w be g(-2). Solve -6*s - 2*s = w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*g = -204, 7*g - 5 = 2*g. Calculate the remainder when 1108 is divided by y.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 507 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3 - 1. Let x = l + 2. Suppose x*f + 1 - 21 = 0. Solve 4*m + 3*w + 0*w - 5 = 0, 4*m - 45 = f*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 69. Determine b(29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1561024 (base 9) to base 3\nAnswer: 1122001000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 - q**3 + 0*q**2 - 10*q + 2 - q**2 - q**2 to y*q + g*q**2 + x + u*q**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, d: 5, q: 6, v: 6}. Give prob of sequence dq.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7\/5, -0.4, 2, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (412\/220 - 60\/220) + (-134)\/(-10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*t + 9*t = -25, -20 = k - 5*t. Let p = -6 - k. What is the remainder when 31 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-128)*21668326\/24545 + 1\/(-32).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -341464 + 341464. Let m be 2*((-2)\/4 - -1). Let f be 104\/51 - 1 - m. Which is greater: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4250 and 510?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6188477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 340, 97, 91 in increasing order.\nAnswer: 4, 91, 97, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 * -15\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7826476223 + -161377.\nAnswer: 7826314846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -13\/180*w**5 + 1\/630*w**7 + 5\/36*w**4 + 0*w + 0*w**3 + 1\/180*w**6 - 41*w**2 + 0. Solve m(l) = 0 for l.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 88.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251693328?\nAnswer: 2, 78230833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -22*b + 61. Is z(0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**2*z**4 + 9*y**2 - 290691*y + 742735*z**4 with respect to z.\nAnswer: 12*y**2*z**3 + 2970940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*m - 29*m + 693 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.012 from -718.25.\nAnswer: -718.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42\/43 in -24, 5, -0.4, -4, -27\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 3*k - 72. Calculate d(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1269, -1261, -1245, -1215, -1165, -1089?\n\"Answer: t**3 - 2*t**2 + 7*t - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 888.6 and -0.4?\nAnswer: -355.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 0\/(-2))\/(-2). Solve 3*a - 22 = 2*n, 5*a + 0*n - 10 = -o*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glcllflllffg. What is prob of picking 2 f and 2 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/152*24*13\/(-3)*1*-3?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 26*v**2 + 55*v + 32. Let m be l(28). Suppose m*o + 1311 = 1327. Put 5, 2, o, -4 in descending order.\nAnswer: 5, o, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2311*-274850.\nAnswer: 635178350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, e: 6}. What is prob of sequence hh?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876392153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u. Let j be 10*2\/(-20)*-4. Suppose u = -0*a - j*a + 16. Solve 3*n = -n - a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 684*r - 10938. Calculate v(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*a = -958 - 818 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/60 and -127\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15655 + 187721\/12. Suppose -22 = n - 2*n - 5*c, 3*n - 14 = -2*c. What is the common denominator of v and n\/1 + 171\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 3 + y**2 - 2*y**2 + 2. Let w be o(5). Let r(q) = -q - 2. Let v(i) = -i**3 + i**2 + i + 1. Let u(t) = -r(t) - 2*v(t). Calculate u(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3087 - 611151305.\nAnswer: -611148218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*k - 24 + 24 + 480*k - k**2.\nAnswer: -k**2 + 137*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 12. Suppose 2*v - 63 = 5*m - v, -5*m + 5*v - 65 = 0. Let g be p(m). Suppose -2*d - 2*j + 8 = g, d - 16 = -2*d - 4*j. Solve -l + 3 + 0 = d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10431 - -315242?\nAnswer: 330113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 17 - 5 = 0. Suppose -l*b - 14*b + 32 = 0. Let t = 5 - 0. Solve t*k + 11 = b*k + r, 4*r = -5*k - 41 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2564, -6461, -10360, -14261, -18164, -22069?\n\"Answer: -r**2 - 3894*r + 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 a, and 1 q when four letters picked without replacement from lllqqllleaalllqlllq?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -313.\nAnswer: -125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21121937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4302651 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7687368*k**4 + 10509487*k**2.\nAnswer: 184496832*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 5*t**2 + 4*t + 6. Let s be c(6). Let k(u) be the second derivative of u**5\/20 + 7*u**4\/12 + u**3 + 3*u**2 - 6*u. Is k(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 24 - 44 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -212*18\/72 - -28?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d + 52*d - 1829168 = 0. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 1, z: 2, g: 1}. What is prob of sequence gzdz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -818 + 4*b**3 + 63*b**2 + 16*b**2 + 809 to c + g*b + w*b**3 + h*b**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-434)\/496 - (-245)\/(-168)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 164162026?\nAnswer: 164162034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 366\/11 (b) 1 (c) -0.3 (d) 0.7 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1202033?\nAnswer: 1202032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(700) - (sqrt(700) + (-2*sqrt(700) - sqrt(700))))*-2*-5)*6*2)**2.\nAnswer: 172800*sqrt(7) + 90720576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l - 129*l + 100674 = 0. What is the highest common divisor of 846 and l?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.82 - -0.7. Let c = -309 - -306. What is the fourth smallest value in c, 2, z, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 167, 201, 263, 359, 495, 677, 911?\n\"Answer: g**3 + 8*g**2 + 3*g + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84.3 - -84. Put h, -1\/3, -2, 1 in increasing order.\nAnswer: -2, -1\/3, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44340 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -360196 - -0.5347.\nAnswer: -360195.4653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200 - -248. Calculate the least common multiple of n and 33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y - 31. Let z be q(9). Suppose 3*k + 0*k = -f + 21, z*f = -k - 7. Suppose -9*s + 150 = -k*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3 and 12\/(-3) - 792\/(-80)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 130\/100 - 4\/10. Let c = a - 7\/30. Let r be (-1)\/3*-1*3. Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (73*m + 2401 - 2401)*(m + 1 - 1) - 4*m + 4*m + 36*m**2 in the form x*m + v + t*m**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156576 plus -111.75?\nAnswer: 156464.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - j**3 + 24*j - 24*j - 9 in the form w + p*j**2 + f*j + l*j**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to -13.3637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 15. Let o(j) = -1. Let p(n) = 2*f(n) - 22*o(n). Let y be -9 + 9 + 3 + 1. Let k(g) = -6 + 1 + y. Determine 6*k(a) - p(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2586*x + 243*x**2 + 3162*x + 78*x**2 + 146*x**2 wrt x?\nAnswer: 934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*u - 5. Let i = 66 + -327\/5. What is the third smallest value in i, u, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 15. Let u be i(-10). Solve 5*w = u*a + 15, 0*a - 5*w = -2*a - 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - -7 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 14*u - 9 = 0, -u - 12 = -h - 3. Solve -39*f + 156 = -h*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/45*3*-3. Suppose i + 4*i = -r - 15, h*i = -4*r - 12. Factor 1\/3*t**2 - 1\/3*t + r.\nAnswer: t*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2287878, 4575757, 6863636?\nAnswer: 9151515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-4) - 1)\/(-1). What is the units digit of x - 1 - 819\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 97834365.\nAnswer: 978343650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26547 + 26551. Let o = 0.02 + 0. Which is the biggest value? (a) i (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 53571.\nAnswer: 482139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - n + 4 + (4 - 5 + 0)*(3*n - 4*n - n) - 4*n + 0 + 0)*(5 - 4 - 7)*(21 + 4 + 11)*(1 + 2 - 5).\nAnswer: -1296*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 52*g + 104. Let h be t(-2). Let w(c) be the third derivative of 0*c + 1\/4*c**4 - c**2 + 0 + h*c**3. Let x(m) = -3*m**2. Determine x(w(j)).\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 12 - (0 - (1 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -587*l**2*q**5 + 194*l**2*q - 6*l*q + 10*q**5 + q wrt q.\nAnswer: -11740*l**2*q**3 + 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 10 + (-5 - (1 + -5) - -4 - -47)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(125)*1)**2*-1*5.\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssssssssspspslys. What is prob of picking 1 v and 1 l?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-10)\/30 - (-2)\/(-12)). Solve -2\/7*d - 2\/7*d**3 + 0 - 4\/7*d**u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 0.5, -11, -4, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -18 - 122. Let j = 4 + m. Let i = -24 - j. Which is the nearest to -2? (a) 2\/7 (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48444301 rounded to the nearest ten thousand?\nAnswer: 48440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 298229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(sqrt(13)*-2)**2 + (-4*sqrt(117))\/sqrt(9)).\nAnswer: -104 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.4 + -18. Put -0.2, -94, l in descending order.\nAnswer: l, -0.2, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 9*a - 12. Let o be s(-9). Let h be (-328001)\/4 - o\/48. What is h rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 8 - r - 11 - r - 5*r.\nAnswer: -7*r - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1062 divide 427560138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -822 (base 10) in base 9?\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 123*n**2 + 375*n + 380. Let q be d(126). Suppose 0 = -3*p - 2*h - 2, -5*p - 2 = 3*h - 0*h. Solve q*w + p*w = 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.4 (b) -0.8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*r + 4 - 5*r)*(20*r**3 - 531*r**2 + 531*r**2).\nAnswer: -60*r**4 - 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 15*w**2 + 7*w + 1. What is d(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 10.538, -4 in ascending order.\nAnswer: -4, -3, -1, 10.538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -b?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/21*-33 + 1. Let c = z + -956\/21. Suppose 34 = -0*s + 4*s + 2*d, 5*s + 2*d = 41. Is c greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 3*y - 2*y)*(4 - 4 - 4*y)*(-2 + 15*y + 2).\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 4 = w + 14*q, w = -3*q + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 621583 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*d*s + 13*b**2*s + 20*b*s - 71*d*s wrt d.\nAnswer: -b**2*s - 71*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -10. Let x = 137 + -135. Let j be 3\/((-36)\/x) + 2\/12. Put r, 5, j in ascending order.\nAnswer: r, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142885 by 28577.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 944 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7.14426 + 0.5769\nAnswer: -6.56736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 63, 191, 443, 861, 1487?\n\"Answer: 7*c**3 - c**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from jjuaaaacjjaajja.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -i - 2*i. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t**3 + 2*t - 1. Let p be i(1). Let y(j) = -j**3 - 7*j**2 + j + 7. Let d be y(p). Suppose 0*k = 2*k + 4. Sort d, k, 4 in ascending order.\nAnswer: k, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, -50, -85, -140, -221?\n\"Answer: -i**3 - i**2 - 11*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711750 divided by -10250?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from {f: 1, z: 1, p: 1, l: 3, j: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -82*t + 87*t + 45, -4*t - 28 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1309, 5, 2, -10, 3 in descending order.\nAnswer: 1309, 5, 3, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/900 + 29*s**5\/450 + 56*s**4\/45 + 196*s**3\/45 - 92*s**2 - 3*s. Factor b(y).\nAnswer: 2*(y + 1)*(y + 14)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 356 + 1483. What are the prime factors of p?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325 divided by 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 3 - 11)*1. List the prime factors of ((-14)\/a)\/((-2)\/(-10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3544 = -2271*n - 275789 for n.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-20) - 2) + 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 151063\/(-15062) - (-3)\/102\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 46925566402.46 from -47.\nAnswer: -46925566449.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*w + 9*w**3 - 144*w + 52*w.\nAnswer: 9*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 467?\nAnswer: 3736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1746 and 1\/4839.\nAnswer: 2816298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07235501 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(91) - (sqrt(91) - sqrt(91)*-1)) + sqrt(91))\/sqrt(7) + sqrt(13) - sqrt(13)) + sqrt(13))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0 (c) -1\/8 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1602 and -59\/180848.\nAnswer: 1627632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -963*a**2. Let b(c) = -23*c**2. Calculate v(b(u)).\nAnswer: -509427*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oocokozcl. What is prob of picking 1 z, 1 k, and 2 c?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 5*q**4\/12 + 65*q**3\/6 + 55*q**2 - 12*q + 7. Factor h(k).\nAnswer: 5*(k + 2)*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/4207 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5\/2 (c) 2 (d) -33 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -286, -1389, -3224, -5803, -9138, -13241, -18124, -23799?\n\"Answer: -2*r**3 - 354*r**2 - 27*r + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 207636.\nAnswer: 207636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 368\/138*(-1)\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - y**2 - 5*y**2)*(0 + 0 - 2*y) + 434*y**3 - 93*y**3 + 59*y**3 + (-2*y + 5*y - y)*(2*y**2 - 4*y**2 + 5*y**2) - 3*y**3 + 4*y**3 - 2*y**3.\nAnswer: 409*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10670)\/(-462) + -23)*(-105)\/14.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*n**4 + 8*n**3 - n**3 - 2*n**2 + 7*n**3 + 2 - 15*n**3 to s*n**3 + r*n**4 + d*n + i*n**2 + v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koqqkqoiqikqiikqm. Give prob of picking 2 o.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1925994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 24*s**2 - 111*s - 79. What is d(28)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 6, -7, 39, -4\/3 in increasing order.\nAnswer: -7, -4\/3, 6, 8, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459, 918, 1377, 1836?\nAnswer: 2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -84, -92, -64, 12?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, 1\/7, -3, -23?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 15*y + 12. Give v(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z**2 - 4*z**2. Let b = -2 - 3. Let p(a) = 5*a**2 + 6. Let f(l) = 4*l**2 + 5. Let j(o) = b*p(o) + 6*f(o). Calculate j(i(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1))\/(-1 - 0). Does 14 divide l*9*-3 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-14)\/4)\/(2\/(80\/(-6)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -59 (b) -0.3 (c) 0.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 27*u**4 - 249*u**3 - 4914*u**2 + 23136*u - 4896 = 0.\nAnswer: -12, 2\/9, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -3 - -1 - (-2)\/9. Let r = -1 + -2. What is the closest to -1 in r, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q**2 - 2*q**2 - 5*q**2)*(3 + 2 + 0 + 2*q**2) to d*q**3 + h*q**2 + r*q**4 + i*q + v and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(24)\/(sqrt(288) - sqrt(8))*-1.\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056461563 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 4, -148, -14, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 3*p. Let c(m) = -2*m. Let w be c(-2). Let f be (-80)\/(-45) - (-2)\/9. Let a(r) = -14*r + f*r**2 - 3*r**2 + 10*r. Calculate w*k(b) + 3*a(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 8106289*k\/3 + 8106292.\nAnswer: -(k - 3)*(k + 8106292)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (88 - 1023 - 36885 - 22061 - 16093)*(2*c**4 + 0*c**3 + 0*c**3) to s + f*c**3 + a*c + g*c**4 + z*c**2 and give g.\nAnswer: -151948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17192519, 17192516, 17192513, 17192510?\n\"Answer: -3*w + 17192522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 45. Let k = o + 33. Put -3, -10, k, 1 in descending order.\nAnswer: 1, k, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23152 and 0.02.\nAnswer: 463.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 158840677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(57)\/(2*(sqrt(3) - -3*sqrt(3)) - sqrt(3)) + 0 + -1*((sqrt(1539) - (sqrt(1539) + 5))**2 - sqrt(1539)))*-5.\nAnswer: -320*sqrt(19)\/7 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/(h**14\/h)*h*h)*h\/(h\/(h\/h**12))*h**(-11)\/(((h**(-4)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2277 + 25?\nAnswer: 22a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdxv when four letters picked without replacement from wxbfffvdwdxwxddbxv.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -4, 9242 in descending order.\nAnswer: 9242, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-32))\/(1\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.44 in -731, -271, 0.4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*l - x + 6, 2*x + 47 = -5*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - 5187?\nAnswer: -5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -8*z**7\/105 + z**6\/15 + z**5\/4 - z**4\/3 + z**3\/6 + 6*z**2. Factor o(g).\nAnswer: -(g - 1)*(g + 1)*(4*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhikraikirkkriihhihi. Give prob of picking 1 h and 1 a.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 177803*-126\nAnswer: -22403178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004103579 rounded to six decimal places?\nAnswer: 0.004104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 11*k + 155. Let a be y(-19). Solve u - 4 = -4*h - a*u, h + 11 = 2*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*y - 73, 0 = -0*y - 4*y + 4*u + 152. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2831 (base 9) to base 7\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25014 divided by -379\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 - g. Let x(n) = -4*n**3 - 2*n**2 - 3*n. Let w(r) = -5*l(r) + x(r). Let w(y) = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d356 - -416?\nAnswer: 3d76c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7482, -7480, -7478, -7476?\n\"Answer: 2*u - 7484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 213684309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9948732, -9948706, -9948716, -9948780, -9948916, -9949142, -9949476?\n\"Answer: -3*a**3 + 47*a - 9948776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -425*o**2 - 38*o - 7 + 3 + 3 + 304*o**2 wrt o.\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 3\/4, 0.079, -2\/2151, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i + 174. Calculate u(-41).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 = 2*s - 5*s, -4*s = -4*t + 32. Suppose -4*f - 18 = -5*y + 32, 3*f = -t*y + 30. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -610, -0.5, -4, 5\/6, -6 in decreasing order.\nAnswer: 5\/6, -0.5, -4, -6, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010*c + 16908 = -33592 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -452, -920, -1350, -1724, -2024, -2232, -2330, -2300?\n\"Answer: 3*l**3 + l**2 - 492*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than -201552\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-48))\/((-8)\/(-1) - 724\/93) and 93\/256?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1705 in -6, 23.4, -0.5, 2\/5?\nAnswer: 23.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 + 101. Let h be (u - -4)*(-3 - -2). Solve 2*x - 5 - h = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1120 and 4032?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -10*m**2 - 66\/7*m + 4\/7 = 0.\nAnswer: -1, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**3 + 117*g**2 - 594*g + 69. What is u(4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u + 240. Let i(q) = 2*q - 81. Give 14*i(r) + 4*m(r).\nAnswer: 4*r - 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24708.8 - 24709. Which is the nearest to -2? (a) 11\/2 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - -6 - (-4 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 15. Suppose 3*a + 2*a + 45 = 0. Let q = a + m. What is the highest common divisor of q and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 19. Suppose c + 15 = -3*t, c - 9 = 4*t + 18. Let s be v(t). Suppose -6*l - 2*x + 116 = -4*l, -x + 290 = s*l. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009772204 rounded to 7 dps?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 130. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 5*k - 14. What are the prime factors of t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 6:46 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293*c**4*k + 19*c**3*k - 73*c**3 - 1419*c**2*k + 2*c**2 - 12*c*k + 7*c wrt c.\nAnswer: 7032*c*k + 114*k - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 10 = d + 12, -d - 3*a = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190931*f**2*w**2 - 14105031*f**2*x**2 + 2*f*w*x**3 - 12*f*w*x - 2620*w**2*x**3 wrt w?\nAnswer: -381862*f**2 - 5240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5603, -5611, -5619, -5627?\n\"Answer: -8*u - 5595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530 and 3392?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1279 = 3*a, 1261 = 3*w + a + 488. Let j = w + -261. Put j, -3, 23 in increasing order.\nAnswer: j, -3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 4 = -3*z. Let a = z - 2. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 41. Suppose 4*t = -0 + l. What is the remainder when 20 is divided by 15 - (t - (1 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Suppose 0 = -k*c + 121 + 3. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16 = 0, -32 = -2*j - 4*u - 6. Suppose -j*r + 6*r + 19 = 0. Let x = 2 - r. Calculate the highest common factor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a (base 12) in base 3?\nAnswer: -12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 24. Let s = 17 - o. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29252?\nAnswer: 2, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2. Let a(l) = -l**2 + 3*l + 2. Let p be a(3). Let u be 21\/p*(-12)\/(-9). Let h(n) = 8*n**2 + u*n**2 + 0*n**2. Give g(h(i)).\nAnswer: -968*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:55 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 23*v**2 - 73*v**2 - 9 - 91*v**2 - 15 to w + t*v**2 + a*v and give t.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvwdvyaavatadwavda. Give prob of sequence vy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -3\/20*z**6 + 0*z + 0*z**4 - 2\/15*z**5 + 0 - 10*z**2 + 0*z**3. Find the third derivative of l(c) wrt c.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -9027124905?\nAnswer: -9027124905.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.06 + -0.06. Let w = 3.4 - 1.5. Let h = w - 1.9. Which is the second biggest value? (a) 2 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 1:39 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 50 = -76. What is the greatest common factor of 343 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30848 and 432000?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-33)\/(o**(-2\/13)\/o)*o**(-11\/2)\/((o*o**(2\/5))\/o) assuming o is positive.\nAnswer: o**(-4907\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v. Let f be -4 - -1 - 12\/(-4). Let c(g) be the third derivative of f*g - 1\/24*g**4 + 0 - g**2 + 0*g**3. Give h(c(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + 110000100?\nAnswer: 110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.32 rounded to 1 dp?\nAnswer: 58.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -180*q + 184*q - 160. Calculate the remainder when 116 is divided by q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/163439 and -27\/15742.\nAnswer: 5556926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2072*q + 142910. What is b(-69)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*w + 2. Let m(r) = 165*r**2 + 12*r + 23. Let g(b) = -83*b**2 - 6*b - 11. Let c(l) = 9*g(l) + 4*m(l). Let h be c(w). Round h to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.13163.\nAnswer: -0.039489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-10))\/((-1)\/5). Let d(o) be the first derivative of o**3\/3 + o**2 - o + 1. What is the units digit of d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 2825297644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, q: 9}. Give prob of picking 1 x and 1 q.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o. Let a(r) = 5854*r**2 + 6*r. Determine a(b(w)).\nAnswer: 23416*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 603072 and 150768?\nAnswer: 603072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/8 - 5*k**2 + 457*k\/8 - 759\/4 = 0.\nAnswer: 6, 11, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23602357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 477556\/27 - 17690. Which is bigger: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -399 or 1?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 420*x**3 - 697*x**3 - 291*x**3 - 1.\nAnswer: -568*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -32 + 2. Suppose 4*z + z = -d*i + 120, 2*i + 53 = 3*z. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 8*m**3 + 6*m**2 + 14*m. Let n be f(2). What is the highest common divisor of n and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 98048?\nAnswer: 1078528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2174\/769 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 957 and -0.05?\nAnswer: -47.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 + 2.47. Let s = p + -1.17. Which is the closest to 0.02? (a) -0.3 (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 0.2 (c) -16.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 25*c**6\/9 - 22*c**5\/3 + 19*c**4\/6 + 46*c**3\/9 - 8*c**2\/3 - 8*c\/3 - 13. Let y(u) = 0. What is u?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.02912us to seconds.\nAnswer: 0.00003602912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 315045011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97348390*n**5 + 7*n**2 + 6*n + 47935?\nAnswer: 5840903400*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9843037g in tonnes?\nAnswer: 0.0000009843037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 0 + 3 + (sqrt(2736) - (sqrt(2736) + -1)) + 4)**2.\nAnswer: 192*sqrt(19) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v. Suppose 4*s = -3*g + 1, -4*g + 23*s + 8 = 25*s. Let q(h) be the first derivative of 0*h + 10 + 2\/3*h**g + 0*h**2. What is q(u(c))?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 2:32 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 1\/5, 43, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009897 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1700)*2)**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 858 and 9702.\nAnswer: 126126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211686 = -287*v - 215130 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Suppose 8*o = 3*o - 3*b + 710, -710 = -5*o - c*b. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1213.7 + 1214. Let k = -31\/70 + 9\/14. Let y be (-2)\/10 - 621\/(-805). Which is the third biggest value? (a) n (b) y (c) -0.1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 3 = 13*y. Let k(r) = 6*r + 22 - 2*r**2 + 21 - y*r - 45. Calculate k(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.561745m to micrometers.\nAnswer: 2561745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 794*w**3 + 0 + w + 0 - 2*w**2 - 795*w**3 + 174*w**4 to d*w**4 + m + o*w**2 + h*w**3 + k*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*u - 3*g, 4*u + 2*g - 9 = -3. Suppose -2*k + 5*k - 899 = -a, 4*k = -u*a + 1200. Suppose -427 - k = -6*b. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43269 and -0.1.\nAnswer: 43268.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.118 + -8.6973. What is l rounded to 2 dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-214)\/(-106) + -2)\/(-1672 + 1671).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, -1, 157.6 in ascending order.\nAnswer: -4, -1, 0.5, 157.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Suppose 4 = z*i - 31. Is 6 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/12 and 67\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*76\/(-209)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*q**4 + 7020*q**3 + 1586356*q**2 + 20200320*q + 9704448 = 0. What is q?\nAnswer: -432, -13, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785964461.\nAnswer: 785964461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let z = -254.1135 - 0.5865. Let m = z + 255. Which is the biggest value? (a) k (b) m (c) -2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 3*y + 4. Let l be z(6). Is -16 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43\/7 + 736\/105. Let g = 46\/105 - z. Let k = -10 + 6. Which is the closest to -1? (a) -0.4 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**2*i**2*w**2 - 6*d**2*i*w**2 - 2*d**2*w**2 - 3*d*i**2*w**2 + 2*d*i**2 + 2*i*w - 5 wrt i?\nAnswer: 8*d**2*w**2 - 6*d*w**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, o: 4, b: 1}. What is prob of sequence oi?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 32*m - 215. Let v be x(-10). Solve 23*a + 133 = -v for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -32*h**2 + 53. Let d(k) = -163083*k**2. Calculate t(d(p)).\nAnswer: -851074076448*p**4 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o. Suppose 5*b = -j, 0 = 4*j + 8 - 8. Let y(i) be the first derivative of b*i + 12 + 0*i**2 + 2\/3*i**3. Determine y(x(l)).\nAnswer: 200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15245244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-11)\/8) + (6 - -3 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*p + 112*p - b = -2*b, -4*b = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 16*w**2 + 4*w + 6. Let b be c(-16). Let l = b + 61. Factor -3\/5*o - 1\/5 - 3\/5*o**2 - 1\/5*o**l.\nAnswer: -(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2646*t - 5289*t + 2641*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 + 66 = 5*a. Suppose 2*g + 0*g + 3*d - 8 = 0, -5*g + a = 2*d. Suppose -2*t = g*v - 2*v - 3, 2*t = -v + 23. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h = -9. Let d(l) be the second derivative of 3*l**5\/10 - l**4\/12 + l**3\/2 - 3*l**2\/2 - 33*l. Is d(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 - 1. Let v be q(1). Which is smaller: -153 or v?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 + -10 - (-23 + 27 + 17)) + 91?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5\/3 + 2*a**4 + 2*a**3 + 2*a**2\/3.\nAnswer: 2*a**2*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l. Let k(c) be the second derivative of -1\/12*c**4 + 1\/2*c**2 + l - 2*c + 0*c**3. What is the first derivative of k(o) wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127 divided by 1?\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-473)\/(402050\/(-1020)))\/((1\/5)\/(1\/2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -38.885. Let g = 0.885 - q. Sort 0, 0.02, 0.4, g in descending order.\nAnswer: g, 0.4, 0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6850935298 rounded to the nearest 1000000?\nAnswer: -6851000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 303 - 302. Which is smaller: d or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, -95, -4 in ascending order.\nAnswer: -95, -4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 - 8*q**2 + 4*q + 32 = 0. What is q?\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.154 - 459801.851.\nAnswer: -459802.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 90 = -11*t. Let c be (-40)\/(-2) - (t + -5 - -5). Solve 0 = -2*z - n + 1 - 0, 5*n = c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 56 = -72. Let l = -10 + s. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464 = -751*x + 1690 + 4356 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) -0.3 (c) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c**5 - 11*c**4 - 3*c**2 + 11. Let s(y) = 8*y**5 + 6*y**4 + y**2 - 6. Let t(d) = 6*l(d) + 11*s(d). What is the third derivative of t(u) wrt u?\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 223744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 6*t**2 - 8*t - 3. Let v(i) = -2*i + 28. Let l be v(14). Suppose -8*o + 28 - 84 = l. Let b be n(o). Solve b = -3*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 32 = 5*h. Let c be (-1)\/h - -6*(-6)\/(-16). Suppose c*b - 5*o - 156 = 0, 3*o = 2*b - 0*b - 156. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115143655 + 24?\nAnswer: -115143631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315204*-14.\nAnswer: -4412856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 674*q = 678*q + 48, 2*b - 5*q = 39 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 + -101. Let u be -5*(-5 + 4) - g. Let x(l) = -7*l - 31. Calculate the lowest common multiple of 51 and x(u).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 3*p**2 - 40. Let h be t(0). Let o = 44 + h. Solve -4*n = 4*f - 20, -18 = -o*f - 2*n - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.95 + -4. Let p = k + 0.05. Let w = -2688.11 - -2688. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -818 - -803.59. Round q to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*p**3 + 119*p**3 + p**3 + 183 + 185*p**3 + 262*p**3 wrt p?\nAnswer: 1854*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 0.14753747?\nAnswer: -0.15246253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1445320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 16 = 2*y + 11, 0 = -4*i + y + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/17, -57, 18\/17, -5, 1, -10?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(18\/(-8)). What is the nearest to 2\/3 in -0.1, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -807967.9 or 0.1?\nAnswer: -807967.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15*g = 20*g + 25, g + 3 = 0. Sort d, 11, 3 in ascending order.\nAnswer: d, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 38*s + 727. Let f be a(-19). Let x(c) = 19*c**2 - 2*c + 2. Let j be x(2). Suppose 3*r - 4*z = 111, j = -2*r + 4*r - f*z. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 17*z - y + 5864, 5*y - 17582 = -3*z. What is the remainder when z is divided by 178?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289\/4445 - -1\/127. Let w = -11 + 17. Suppose 5*f = -w + 1. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, -3, -0.3, 1\/7, -589?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5322090 and 608?\nAnswer: 85153440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -675 less than or equal to -304871\/452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 12:47 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15749339.\nAnswer: 3041, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2013 = 195*a - 228*a. Solve -12*q = a - 49 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14899638 - 0.149. Round l to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 9 - (-1 - (-6 + 24 - (-21 + 30))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12494696 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35136745643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b015 - -3?\nAnswer: 1b018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 6*l - 1848. Give v(46).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 798070704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 672924255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 12*h - 62. Let b = -58 - h. Solve 4*o + b - 8 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1426)\/(-10) - (579 - 442).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 4*s**2 + 9*s + 29. Let z be m(-5). Solve z = 3*d, 5*n + 0 + 4 = 3*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 31*h - 6. Let q be b(1). Suppose -9*n + q = -4*n. Suppose -2*v + 53 = -2*k + 197, 2*k + n*v = 123. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/25*-10 + 37. Suppose -21*j + 108 = -17*j. Calculate the highest common divisor of f and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 208056519\/162 - ((-2)\/(-4) + -1). What is j rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96717947 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75677 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185\/(-150) - (104\/(-39))\/2.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 1, -5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 + 17*c**2 + 9*c. Let n(x) = -4*x**3 - x**2 - 2*x. Let v(b) = 3*b**3 + 2*b**2 + 2*b. Let m(z) = 2*n(z) + 3*v(z). Determine 26*m(h) - 6*q(h).\nAnswer: 2*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666 and 381766.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57\/10 + 16\/5. Let n(i) = -217*i**2 + 7*i + 14. Let g be n(-5). Let t = 54533\/10 + g. Calculate the common denominator of t and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1324874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 19*v - 10*v. Let n(i) = i**2 - 7 + 1 - 17*i - v - 5. Let b be n(18). Solve f = -0*f + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29 and -30 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3995 and 144619?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00953934 - 33.2518?\nAnswer: -33.26133934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.1, 0.5, -1\/4, -2\/193, -2\/3, 2\/21?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.153 + -8.847. Which is greater: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -499293*b**2. Let c(j) = -5*j**2. Calculate m(c(g)).\nAnswer: -12482325*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 2 - d**3 - 5 - 3928479333228*d + 3928479333228*d + 3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68110, 68099, 68084, 68065?\n\"Answer: -2*a**2 - 5*a + 68117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63517 or 63514?\nAnswer: 63517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/3 + 1\/3. Suppose -11 = 4*c - 23. Sort c, 1, z in descending order.\nAnswer: z, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mkmmmmkmmmkkmkmm.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 5 + 216*r - 25 + 40 as y*r + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -15\/4, 2\/9 in descending order.\nAnswer: 2\/9, -4\/7, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1049*p + 2327 - 2327)*(-p**4 + 5*p**4 - 3*p**4) + (4*p + 2*p**2 - 4*p)*(-3*p**3 + 3*p**3 - p**3).\nAnswer: -1051*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16116 - -27357. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.95 - 0.8. Let i = u - 0.15. Let f = -256 - -2814\/11. Sort 2\/15, i, f in increasing order.\nAnswer: f, i, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*5 + (3576 - 3637)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {v: 5, y: 4, h: 1, s: 1, x: 6, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n + 10*n + 12*n)*(2 - 2 - 3*n**2) - 2*n + 2*n - 2*n**3.\nAnswer: -95*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 44. Suppose 4*l = -4, y + 23 = 3*h + 5*l. What is the remainder when 61 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -5*s + 21, s = -15*z + 11*z + 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101100010010 (base 2) in base 11?\nAnswer: 103a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2446860 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1584313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 - -204. Let v = a + -107. What is the fourth biggest value in v, 1, -1\/4, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -5\/2*m**2 + 0 - 5\/3*m**3 + 2\/3*m**4 - 10*m. Is f(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(5\/6)*h)))\/h)\/(h\/(h*h**(-2\/47))*h)*h**(1\/9)*h*h*h**(-7) assuming h is positive.\nAnswer: h**(-4313\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2447*o - 4874*o - 444*o**2 + 447*o**2 + 2442*o.\nAnswer: 3*o**2 + 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -29767176 + -2\nAnswer: -29767178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005358495 rounded to six decimal places?\nAnswer: -0.000536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 184 + 20968 = 4*z, -z + w + 5288 = 0. Is ((-12)\/(-2))\/(24\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 2129 + 2134 + 2174 - 10657 + 2129 + 2149.\nAnswer: -2*i + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - (-4 - -1))\/1. Let h(v) = v**2 + 5*v. Let r be h(g). Put 5, -4, r in descending order.\nAnswer: 5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547 is divided by 172?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 4*o**2 + 2 + 3*o**2 - 2*o**3 + 7*o**2 + 7*o. What is the remainder when x(5) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 2*j - 2. Let x be u(-4). Let i = x - 18. Suppose 0 = -4*k + 3*d - 1, -i*d = -5*k + 1 - 3. Solve 3*w + k = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 6*d - d = 22, 9542*b - 9534*b + 5*d = 58 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.22 - 10.3. Let m = 0.08 + d. Let u = 2.54 - 2.24. Which is the nearest to 0.1? (a) u (b) m (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -3770.8041?\nAnswer: 3772.8041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(2\/18). Does 4 divide (-1)\/((-13)\/4 + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 0*g + 0*g**4 - 2\/21*g**3 + 0 - 7*g**2 + 1\/105*g**5. Factor t(l).\nAnswer: 4*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -2*x**2 + 1\/40*x**6 + 0 - 1\/60*x**5 + 0*x**4 + 0*x**3 + 0*x - 1\/70*x**7 + 1\/336*x**8. Solve f(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 6. Let y = -22 - -20. Let u = y - x. Solve -a - 12 = u*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -8*p + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1077\/65 or -16?\nAnswer: -1077\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*i + 70 + 355 - 252 = -5677 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.2, -12.\nAnswer: -12, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiee when four letters picked without replacement from eieieeee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 2*sqrt(108)) + -1)**2.\nAnswer: 48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -17 - -10 - (-2 - -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105*a**3*b**3 - 2*a**3*b**2 - 3*a**3*b + 30*a**2 - 2*a*b**3 + 39*a*b**2 wrt a.\nAnswer: -630*b**3 - 12*b**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82907 and -5.\nAnswer: -414535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5101 + 23749. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180490834897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 11. Is o(-8) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + w + 155 = 42, -4*w = -8. Let k = f - -65. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(78) - sqrt(78))*-6 + sqrt(78))\/sqrt(6))**2.\nAnswer: 4693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1799015 and 1027615?\nAnswer: 2755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggeglsgeglgsl. Give prob of picking 1 l and 1 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 + 287. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 14*j**2 + 11*j + 13. Let k be o(-15). Let b = 108 - k. Calculate the smallest common multiple of b and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.132 - -0.13446. What is g rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -6, -3, 0, 65, 5 in descending order.\nAnswer: 65, 5, 1, 0, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/9 - 1928*d**2 - 23120*d\/3 - 69344\/9.\nAnswer: -4*(d + 2)**2*(d + 4334)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Find the second derivative of -4*b + 3*b**2 + 10*b**l - 7*b**2 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 240 + 663 = 0. Let b = l - 139. Factor 12\/7*m**3 + 0 - 4\/7*m**4 - 12\/7*m**b + 4\/7*m.\nAnswer: -4*m*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -g + 17, -2607 + 2676 = 5*g + 11*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-56) + ((-342)\/16)\/(-9). Let t = -5 - -3. What are the prime factors of (-7)\/(t - -3 - a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3419 - -3436. Let z = 1 + 1. Suppose -3*u = -2*u + z*f + 13, -3*u - 4*f = 29. Put q, 5, u in decreasing order.\nAnswer: q, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -241*d + 6510. Give w(27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61088429 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)*f\/((f*f**(12\/5))\/f)*f\/(f\/f**13*f*f)*f*f*f*f*f**(1\/11) assuming f is positive.\nAnswer: f**(148\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 21627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 1, -2\/21, -22225, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 20 = 4*q, 5*c + 1881 - 1891 = -2*q. Let h(j) be the second derivative of c*j**2 - 10*j + 0 + 19\/12*j**4 + 0*j**3. Let g(y) = -y**2. Give h(g(o)).\nAnswer: 19*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/(-77))\/(39\/((-5187)\/(-418)))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.68 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6193255793 to the nearest integer?\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -11 - (-19 - 1 - 13).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3107720 divided by -616?\nAnswer: 5045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(-x - 4 + 4) - 1 + 1 + x)*(-294 + 289 + 218)*(x**2 - 3*x + 3*x).\nAnswer: 426*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.72 rounded to zero decimal places?\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t + 63 = 31*t. Suppose 0 = 6*d + t + 11. Let r = 5\/11 + -3\/11. Which is the smallest value? (a) d (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172.84 times 0.1\nAnswer: -17.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 161135 (base 7) to base 2\nAnswer: 111101110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 + -132. Let q = 101 - n. Which is the biggest value? (a) 4 (b) q (c) 0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 488 + 40203?\nAnswer: 40690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 15*s + 235. Suppose -5*i = -6*i + 5*u + 5, 2*i - 3*u = -18. Calculate the smallest common multiple of w(i) and 241.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:01 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2302122 (base 5) in base 13?\nAnswer: -15811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27130966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 16*i - 10*i)*((-2*i - i**2 + 2*i)*(-5*i + 3*i + i) - 2*i**3 + i**3 + 2*i**3) to the form r + b*i**3 + w*i + f*i**2 + j*i**4 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 289374.3 weeks?\nAnswer: 2916892944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 633384045 divided by 5185\nAnswer: 122157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 61. What is the units digit of (8 - q)*(0 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(-d + 6*d**2 + d) to the form s*d**2 + t + w*d and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65247236 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (624\/(-56))\/(1\/(-7)). Let r(p) = -2*p**2 - 4*p + 4. Let x be r(4). Let h = x + 96. Calculate the greatest common factor of y and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6857 times -4?\nAnswer: -27428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*v**4 - 8406*v**2 - 832102 wrt v.\nAnswer: 36*v**3 - 16812*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 81*j + 40. Determine w(25).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -469 (b) -3 (c) -13\/14 (d) 5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 44 + 1220*o + 21 - 14454*o as q*o + l and give q.\nAnswer: -13234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - c**2 - 8*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/60 - q**4\/24 + q**3\/2 + 2*q**2. Let s(i) = -i. Let o(d) = -l(d) + 6*s(d). Does 7 divide o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -129 - 31. Let s(b) = -b**3 + 7*b**2 + 2. Let r be s(7). Suppose -7*q + r*q = -a. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2276211*f**5*o + 2*f**4*o**3 - 9*f**2*o**3 + 25*f**2*o**2 - 2*o**3 - 9*o**2 - 254*o wrt f?\nAnswer: 136572660*f**2*o + 48*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4618744910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 9*q - 7*q + 5*p, -5 = p. Let n(h) = -8*h**2 - 2*h - 2. Let o(z) = -z**2. Determine q*n(k) + 5*o(k).\nAnswer: 3*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (3866 + -8 + 5)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 412, 918, 1626?\nAnswer: 2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y - 2. Let u(g) = 5*g - 1. Give 2*l(m) - 3*u(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 505481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {b: 2, o: 7, m: 3}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5\/11 + 21172*h**4\/11 + 148276*h**3\/11 + 275424*h**2\/11 - 63522*h\/11 - 34668 = 0.\nAnswer: -3, -2, 1, 10593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91325\/2810*2\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*w**9))\/w)*w)\/((w**8\/w*w*w)\/w))\/(w**(-2)*w**(-17)) assuming w is positive.\nAnswer: w**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*n**3 + 2524168*n**2 + 144804863535*n - 26328240450 = 0. Calculate n.\nAnswer: -114735, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Suppose -4*b - 15 = -9*b. Let z = -9 + 13. Sort y, z, b in ascending order.\nAnswer: y, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**3 + 2591415*o**2 - 335770289400*o - 335772880820 = 0.\nAnswer: -1, 259142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, -7, -17, -25?\n\"Answer: v**2 - 15*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216538*w**4 + 234*w - 198?\nAnswer: -2598456*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9660\/(-1)*(179916\/(-42) - 2). Round x to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -9*w - 64. Let t be 2 - (2 - 1)\/1. What is the remainder when w\/4*(t + -27) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -274*d**2*u**3 - 5*d**2*u - 2*d*u**2 + 4*u**2 wrt u?\nAnswer: -1644*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/52 and 131\/1584?\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1628564 - -347337. Let d = -1281226.95099845 - m. Let t = d - 0.049. Round t to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*n**3 - 82*n**3 - 27*n**3.\nAnswer: -143*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 9856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 29*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -2 - -5*(-36624)\/102. Let r = 1797 + u. Is r != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 13*g**2 + 1 + 0 - 3*g + g**2 - 3. Let z be x(-4). Suppose -t = -3*f - z, 3*f = -4*t + 6*f + 891. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*j - 5*i + 1, 0 = -3*j + 5*i - 2. Let f(v) = -v**3 + 5*v**2 + 14*v + 6. What is the remainder when 168 is divided by f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 2*s. Let o be w(3). Let a = 3 + o. Let c = 14 - 9. Solve 0 = -c*i + 1 - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 50 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -45 - 3. Suppose -o + 2*n = -3*n + 1, 4*o - 4*n - u = 0. Solve o*g = -2*y + 2*g, 4*g = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swsl when four letters picked without replacement from wslsssssggswgsgcw.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -130. Calculate the remainder when n is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 13 = 4*k, -19*k + 20*k = 4*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, u: 12}. What is prob of sequence uumu?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4 + 167908*k**3 + 602*k**2 - 159*k wrt k?\nAnswer: 48*k + 1007448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/13)*w*(w**(-2)*w)\/w*w*(w*(w\/w**(1\/10))\/w)\/(w*w\/w**6*w*w) assuming w is positive.\nAnswer: w**(397\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/5)\/((-21)\/(-175)). What is the tens digit of 142\/6 + (-10)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 2. Suppose 3 + p = 4*u. Suppose w - 10 - u = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.814, 4, -661.\nAnswer: -661, -1.814, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**4\/4 - 2*b**2 - 5*b - 22. Let c = 246 - 251. Let y(h) = -h**3 + 2*h + 2. Determine c*y(d) - 2*a(d).\nAnswer: -d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207162082?\nAnswer: 2, 103581041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h**2. Let s(k) = -228*k**2. Give s(v(j)).\nAnswer: -14592*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 35, -2, -203 in decreasing order.\nAnswer: 35, -1, -2, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-11)\/55)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -26, -20, -14?\n\"Answer: 6*s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -253920 divided by -345\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.52929 months in millennia?\nAnswer: 0.0040441075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -79*l**3 - 6*l**2 + 15*l + 32. Is 5 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 12*c - 15. What is l(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**6 + 162*h**4 + 689*h**2 wrt h?\nAnswer: -480*h**3 + 3888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-10))\/z)\/((z*z**(16\/3)\/z*z)\/z)*z**36*z\/z**(-20) assuming z is positive.\nAnswer: z**(185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 270 - 366 = 3*z, 3*t - 5*z = 466. Calculate the greatest common divisor of 198 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/8, -5\/3, -1, 125415, -19?\nAnswer: 125415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1025)\/510 - -2)\/1. Let s = -67\/102 + q. Which is the biggest value? (a) -0.3 (b) 4 (c) -2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(sqrt(192) + 0) + -1 + 2*((-1 + sqrt(192))*-3 - -4*(-1 + sqrt(192))))**2.\nAnswer: 96*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/((-23)\/(-230)). Suppose -4*y + b*f = -824, -5*y + 3*f + 582 = -448. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 - 3*p**2 - 38*p + 82. Let n be m(2). Solve 0*o - 18*o = n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -653\/5. Let c = m + -9\/10. Let p = -0.18 - 0.02. What is the closest to 2 in -2, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25989 + 0.55989. What is the second biggest value in -11, -3, d, -2.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 11*r + 5*j = -66824, -50117 = -3*r + 4*j. List the prime factors of r.\nAnswer: 17, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24157 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: Factor -3*o**4 + 1671*o**3 - 4992*o**2 + 3324*o.\nAnswer: -3*o*(o - 554)*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l. Let w be v(1). Let f = 41 - 40.925. Let u = f + 0.225. Which is the second smallest value? (a) 2\/11 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-440)\/(-50) - 8 - (-132)\/10. Suppose -4*j = i + o - 80, i + 5*j - 70 = 0. Calculate the lowest common multiple of 45 and i.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 2600518*h - 5201028.\nAnswer: -2*(h + 2)*(h + 1300257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41930972?\nAnswer: 2, 31, 338153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:54 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 3 = -6*v. Solve 4*m - 16 = 4*s, 0 = v*m + 5*s - s - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/7 - (4 - 5). Suppose 3*n - g*r - 8 = 0, 4*n = 2*r - r + 39. What is the highest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2. Let p(i) = 4*i**2 - 5*i - 5. Let r(j) = -4*j**2 + 4*j + 4. Let m(u) = -4*p(u) - 5*r(u). Give l(m(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 5*r - 14. Let f be d(-6). Let i be 10\/(-1) - (-8 - f). Calculate the common denominator of (-2)\/i - (3 - (-1186)\/(-720)) and -93\/20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h - 73*h + 28*h + 9*h in the form p + f*h and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023661453 to 4 dps.\nAnswer: 0.0237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*5\/(5\/(-2)). Let u = 4 + o. Let l = -59000 + 58997. What is the nearest to 0.1 in -0.1, l, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9668.311 kilometers?\nAnswer: 966831100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, k: 10}. Give prob of picking 2 q and 2 k.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -251 and 38.17?\nAnswer: 289.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18\/6*(-77)\/(-33)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -440725*j**4 - 351618*j**2.\nAnswer: -10577400*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 390*g - 1. Let p(i) = 17*i + 19. What is w(p(k))?\nAnswer: 6630*k + 7409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 2, a: 8, l: 2}. Give prob of picking 1 b, 1 a, and 1 l.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6713233 + 10606907157\/1580. Let h = -18\/79 + g. Find the common denominator of h and (43\/(-15))\/(4\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 64*o - 32 = -0*o - 4*g, 333 = -2*o + 5*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 992 + -973. Which is the nearest to 3\/2? (a) -1\/2 (b) 3\/7 (c) 5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 856060 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 - 46*b**3 - 10069*b**2 - 123326*b + 1650480 = 0. Calculate b.\nAnswer: -69, -23, 8, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35210, -35208, -35206?\nAnswer: -35204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -10. Let a(r) = -r**3 + r**2 - r + 1. Let q(g) = 10*g**3 - 8*g**2 + 8*g - 10. Suppose -105 = 9*m - 114. Calculate j*a(t) + m*q(t).\nAnswer: 2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 268 = 4*y, -5*y + 3*y = -4*t - 124. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430 and 434515.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**3 - h**2 - h - 1. Suppose -3*k - 2 = -k. Let v be x(k). Suppose -5*l = 3*i - 159, -v*l + i + 3*i = -107. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = 6. Let h be (1 - j\/(-6))*4. Suppose a + h*a = -12600. Round a to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 925, 926, 927, 928, 929?\n\"Answer: y + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = 2*k - 3848. Let y = k - 295. Solve -4*f + y = 3*b, 4*f = 5*b - f + 45 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*n - a, 3*a + 9 = 3*n. Solve -11 = -2*l - y, 2*y + n = 3*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**2 - 3*q**2 + 21*q**2 - 46*q**3 as g*q**2 + l*q + a*q**3 + d and give a.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 plus -1577306081296?\nAnswer: -1577306081500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78535.548us to weeks.\nAnswer: 0.00000012985375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 85 = 2*v. Let d = v + -32. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 1. Let d(f) = -6*f**2 - 51*f - 8. Let l(t) = -d(t) + 5*n(t). Let y(o) be the first derivative of l(o). Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12761.951 - 12797. Round q to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103431125 (base 6) to base 4.\nAnswer: -13010311331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 1 + 11 - g + (-10*g + 2*g - 2*g)*(-3 + 1 + 0) + (0 - 2 + 1)*(2*g + 3 - 3) to the form l*g + d and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-20) - (-4)\/(-16). Let p be s\/(1 - 16\/20). Let j be ((-10)\/p)\/((-56)\/((-4)\/(-1))). What is the closest to 1\/2 in j, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*k - 0*k + 5*r, 3*k + r = 16. Let o(w) = w - 6. Let l be o(k). Suppose 2*p**2 + l*p**2 - p - p = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181 + -197. Let f be (-4)\/(-8)*(-18 - r). Which is smaller: -6\/89 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p + 4*p + 10*p as a + v*p and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 467*m**2 - 3*m. Let l be p(4). Let n = 6 + -36. Is 6\/(-4)*l\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-180)\/27)\/(16\/(-12) + 0). Solve 81*g = 80*g - s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*b. Let w be 1 - 0*b\/(-6). Let d = 3 + 2. Solve d*m - 11 = -w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n - 21*n + 4*n)*(-5*n**2 + 4*n**2 - 2*n**2)*(-4 - 3 + 5 - 5 + 3 + 0 + (3 - 1 + 0)*(-2 - 2 + 3)) to the form o*n**2 + b*n**3 + j + m*n and give b.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1002 divided by -1722.\nAnswer: 167\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2. Let n(g) = -g + 21. Let j be n(15). Suppose 4*b = -0*b + 12. Let u(o) = -j*o - o + b*o. Calculate u(p(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2109900 and 900.\nAnswer: 6329700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r - r)*(3*r - 3*r - 5*r**2).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60340 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20686\/3 + -110071\/12. Let s = -2264 - w. Let p = 2719 - 27167\/10. What is the common denominator of p and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:02 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 70 = -3*h, b - 24 = 3*h + 22. Let n(a) = 2*a**2 + 26*a - 32. Give n(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/9)\/(3\/(-45)). Suppose 0 = n*q - 2*q - 54. Suppose 6*u - q = 5*u. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98018226003*r + 98018226003*r + 4*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*d + 7 = 0, 0*y - 22 = -4*y + 2*d. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) + -1 + 0\/(-26). Suppose 2*a - 6*a + 5936 = m. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (48 + -18)*2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 5:44 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -738 (base 10) to base 5\nAnswer: -10423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 7:48 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 + 6 - 5)*(2*v - 2*v + 2*v).\nAnswer: 220*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = 3*r, 3*w + r = -4*r - 19. Suppose -1 = w*b - 9. Let h(o) = b - 4 - 2*o**2. Let d(s) = -4*s. Calculate h(d(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3896*n - 56652 = -5350*n - 4917*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -94, -105, -128, -169, -234, -329, -460?\n\"Answer: -x**3 - 4*x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*o**2 - 6*o - 148?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247099812.\nAnswer: 2, 7, 733, 60763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c = 0. Let y = 23 - 5. Let d be (y - 18) + (0 - -2). Solve -d*z + z + 3 = c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(((-10)\/(-390))\/(3\/(-36))) + (-6)\/8.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/333 and 37\/615285.\nAnswer: 22765545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 + 6502*v**3 - 679518*v**2 + 1980090*v = 0.\nAnswer: 0, 3, 105, 3143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1062*i**2 + 3 - 3 + 1061*i**2. Let d(q) = 4*q**2. What is d(j(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48.10942 years?\nAnswer: 0.4810942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.1803 to one decimal place.\nAnswer: 100.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d + 2. Let c(b) = -2*b**2 + 4*b + 3. Let g(w) = -4*c(w) + 6*z(w). Find the second derivative of g(h) wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2807 divide 1495196269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + f + 168 - 153 = 0, 0*i = -4*i - 6*f + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 16*p - 14. What is g(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from ljjjgggpjvpjjj?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/406704 and 35\/13932?\nAnswer: 472183344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i - 3*i)*(2626977 - 5122*i**2 - 2626977).\nAnswer: 5122*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 589718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/6 and (-1 + 892\/264)*-1?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 645*m**2 + 6640*m - 17700.\nAnswer: 5*(m - 118)*(m - 6)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 - 2*v - 3. Calculate n(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from cnnraaraac.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * -9608.\nAnswer: 11529.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnpkpwkpndnpl. Give prob of picking 1 k, 1 l, and 1 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25, -3\/8, 0.4, 2\/9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/60 - 7*w**4\/24 + w**3 - 41*w**2. Let u = 8 + -3. Let c be y(u). Is -2 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvx when three letters picked without replacement from {x: 1, h: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -76. Let d = a + 59. Suppose -3*p + d*p - 324 = 0. Calculate the smallest common multiple of p and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142845.109 + -142926. Let p = -79.28 + -1.72. Let h = m - p. What is h rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -114, -655, -1208, -1779, -2374, -2999?\n\"Answer: -o**3 - 534*o + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:51 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -710 (base 11) to base 6.\nAnswer: -3550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -336792 bigger than -336791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/174 + 974\/(-3409) + (-1)\/21.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (3 - -7)) + -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123137, -123103, -123039, -122939, -122797, -122607, -122363?\nAnswer: -122059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*p - 9 + 1, 0 = -5*n + p + 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111.58 - -51.47. Let i = -168 + m. Let q = i + -0.65. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5256 divided by -4.\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**4\/3 + 2*z**2 + 5. Let q(o) = 13*o. Give q(j(h)).\nAnswer: -104*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 8*w - 44. Let i = 50 - w. What is the third derivative of 286*k**2 - 135*k**2 - 35*k**i - 130*k**2 wrt k?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**5\/20 + 3*y**2 - 3*y. What is the derivative of i(h) wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 407*c - 408*c - 4*u + 20376, -4*c = -5*u - 81462. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 12*w + 34. What is the remainder when 59 is divided by z(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**7\/840 - f**6\/360 + 5*f**4\/12 - f**3\/3 - 7*f**2. Let x(i) be the first derivative of r(i). Is x(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:17 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.14, -2\/447, 1\/4, 315.8, 0.4?\nAnswer: -2\/447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.4 + -3.39999745. What is h rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*p - 71 = -241, n = -2*p + 90. Let g = n + -12. Is 34 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o - 4*o + o)*(-1 - o + 1) + 5*o - 5*o - 5*o**2)*(-o**2 + o - o)*(-9 + 9 - 3*o).\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 1, k: 1, p: 2, w: 3}. Give prob of sequence pk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 30 - 214 + 40 + 179.\nAnswer: -f + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 3}. What is prob of sequence pp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 37, 120, 237?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1057, 0.2, 4950, -2\/9, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*j + 10 - 0, -3*f - 5*j = -25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, 6, -704, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - 4*sqrt(170)*-3)*6)\/(sqrt(30)\/(sqrt(3) + (-4*sqrt(30))\/sqrt(10))).\nAnswer: -234*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**42\/v)\/(v\/(v\/(v**(11\/7)\/v)*v)))\/(v**(1\/26)*v**(-48)) assuming v is positive.\nAnswer: v**(16269\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15277 - -2?\nAnswer: 15301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1808, 3648, 5500, 7370, 9264, 11188, 13148?\n\"Answer: m**3 + 1833*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/147366 and -103\/2664?\nAnswer: 21810168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2546281 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n - 129 = 15*n - 20*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 + 3*q**2 + 3*q + 2. Suppose 20*b - 4*m - 36 = 16*b, -4*m - 14 = -2*b. Calculate the remainder when y(-2) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4167683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Suppose -2*y - 3*i + q*i + 6 = 0, -4*y + 2 = -3*i. Solve -2*x = y*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 5885?\nAnswer: -5889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 5*g - 73 = -33*m, 56 = 3*m + 5*g. Solve o = 5*o + n - m, -o = 2*n + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 1740?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 125\/(-1625) + (-53)\/(-13). Solve 3*z - w*j = 14, -31*j = z - 26*j + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11963 - -1564. Let g = j + 155914\/15. What is the common denominator of g and -61\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41525.76 months in millennia?\nAnswer: 3.46048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*0.6402.\nAnswer: -0.108834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 6:02 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 2*j**2 - 3*j + 3. Let m be k(-3). Does 5 divide (84\/16)\/(m\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209 - 20*l + 209)*(4 + 3*l - 4) + 4*l**2 - 3*l**2 + 2*l**2.\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 8*q - 10. Factor -1\/2*h**2 + 0 - 1\/2*h**4 + 0*h - h**q.\nAnswer: -h**2*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**8\/8 + 2*f**6\/5 - f**4\/12 - 283*f**2\/2 + 101*f. What is the third derivative of l(k) wrt k?\nAnswer: 840*k**3 + 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than or equal to -14142922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99\/(-12)*288\/(-27) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*(-36)\/(-2448)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, s: 1, o: 8}. What is prob of picking 2 o?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let h be p(1). Let f = 13.72 + -14. Let t = 0.02 - f. Do t and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {n: 2, w: 4, q: 1, b: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*216\/720\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 277451.\nAnswer: 1942157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5632188619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:55 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2135723802?\nAnswer: 2, 3, 2909, 122363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47 and -0.778?\nAnswer: 36.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -86*n**3 - 5*n**2 - 4*n + 20. Let f be k(-4). What is the greatest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:14 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121724839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-10) + 4*6\/320. Which is the nearest to -1\/4? (a) -4 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 659.11108 to the nearest integer.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 101*n**3 + 6*n**2 - 20*n - 2. Is c(7) 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 {x: 3, t: 4}. Give prob of sequence xx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-44)\/(-18))\/((-20)\/6). Let d = -2\/5 - z. Let a = -177 - -176. Is a greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*c + 16, -4*c - 5*g - 22 + 3 = 0. Are -10 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 3. Let a be l(4). Suppose 2*i + 7*j - 2*j - 19 = 0, -2*i - 3*j = -a. Suppose 3*u = -i*x + 54, 2*x = u - 16 + 6. Solve 2*r + u = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*h - 5*d, 0*h = -2*h - 3*d - 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -5, 5, -24903 in decreasing order.\nAnswer: 5, -0.14, -5, -24903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 3651)*-13*18\/(-468)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(10\/4)\/1. Is 13 a factor of l*4\/(-20)*58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 - 3*v**2 - 3*v. Let n(m) = m + 2. Let l be n(3). Suppose -12 = -l*o + o. Let f(i) = -9*i**3 + 7*i**2 + 7*i. Give o*f(x) + 7*q(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 387319657 to the power of 1\/2, to the nearest integer?\nAnswer: 19680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*g + 4*t - 25, -4*g - 4*t + 20 = 0. Solve 5*b = -2*q + 14, g*b - 15 - 3 = -4*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1087 + -1086. Suppose -4*d - 13 = 7. Put -3, i, d, -33 in ascending order.\nAnswer: -33, d, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9448953 divided by 3149651\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.2 - 7.2. What is the nearest to n in 2, -1, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22514 is divided by 7502.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 427*u + 30570. Determine q(91).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1732904 and 2?\nAnswer: 1732904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a tonne in kilograms?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 132 = 193. Suppose 3*c + 2*z = 6*z + 32, -f = -5*c - 5*z. What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2341 + 11332?\nAnswer: 3441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8304224737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Suppose -2*n - 24 = -2*j, 2*j + 8 = 33*n - 35*n. Calculate the remainder when j is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 19 + 25 - 10*m**3 - 71.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*m + 78, 14 = 3*w + m - 54. Let i(x) = -5*x + 18. Let d be i(0). Solve -w*t = -d*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 1)*(i**2 + i - i) + (-1 + 2 - 3)*(-4*i**2 + 3*i**2 + 0*i**2).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmwmwmmmmm. What is prob of sequence wm?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -173707 (base 13) in base 10?\nAnswer: -579001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujtjuuouklkuuuotjuuk. Give prob of picking 2 t and 1 k.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26186693*x**2 + 16756711*x wrt x?\nAnswer: -52373386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 464?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**10\/151200 - y**9\/75600 - y**8\/16800 + y**4\/2 - 3*y. Let k(w) be the third derivative of x(w). Factor k(z).\nAnswer: z**3*(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18568)\/924 - -20)\/(3\/(-21)). Factor 0 + 0*h - 4\/3*h**2 + 0*h**4 - n*h**5 + 2*h**3.\nAnswer: -2*h**2*(h - 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -849497.3 + 849541.30000064. Let o = 44 - s. Round o to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 - -6?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753183397?\nAnswer: 787, 957031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a3b47 (base 13) in base 14?\nAnswer: ac8bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -896 and -317?\nAnswer: 284032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u - 1. Let j(w) be the third derivative of -w**6\/120 + w**5\/12 - w**4\/8 + 2*w**3\/3 + w**2. Does 13 divide j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 209854*j**2 - 101*j - 13. Let l be r(13). What is l rounded to the nearest one hundred thousand?\nAnswer: 35500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = h - 6*h. Let x be h - (650\/204)\/(-13). Let p = x + 146\/17. Find the common denominator of -77\/2 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4. Let a be (w - 2)*-27500*200. Round a to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*c**2 - 46*c**2 + 37*c**2.\nAnswer: -83*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.7371 decades to years.\nAnswer: 757.371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -3, -195\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/5 + 260349*p\/5 + 2082728\/5 = 0.\nAnswer: -260341, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + 3*r**3 - 6*r**4 + 2*r**4 + (-3 + r + 3)*(-r**3 - 2*r**3 + r**3).\nAnswer: -6*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9630.444ug?\nAnswer: 0.009630444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/360)\/(5\/10). Let v(d) be the second derivative of 0*d**2 + 0*d**4 - 3*d + 1\/18*d**3 + 0 - m*d**5. Factor v(l).\nAnswer: -l*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/7567168 and 1\/694944.\nAnswer: 68104512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + ((-10)\/8)\/(2\/(-8)). Suppose -3*u + l*o = -u, -12 = 4*o. Sort 4, 11, 5, u in descending order.\nAnswer: 11, 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k. Let o(b) = 2*b**2 + 23*b - 35. Let u be o(-13). Sort k, -4, u.\nAnswer: -4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 5, -86532\/59?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(180))*5 - (sqrt(180) - -6*sqrt(180)*3) - (4*(1 + sqrt(180) + 2) + 2))**2.\nAnswer: -1296*sqrt(5) + 58356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 5410.\nAnswer: 308370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -220*y - 19807. What is f(-90)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 9*z + 2. Let k be (4 + (-10 - 3))*1. Let j be t(k). Suppose 4 - j = 2*s. Calculate the highest common factor of s and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 31 = -5*m, 4*n + 13 = -4*m + 5. Let x(c) = c + 7. Determine x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -5. Suppose -w + 4 = -5*r + 19, 3*r - 7 = w. Let j = s + r. Solve -j*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + a**2 - a + 32. Is v(0) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.4. Let o = q - 2. Let i be (2 - -1) + 0 - -1. Which is the smallest value? (a) o (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmhmhmmmmhhpmhmm. Give prob of sequence hmmm.\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(1584) + 0 + (sqrt(1584) - (sqrt(1584) - 2*sqrt(1584))**2)*-1)*-3.\nAnswer: -4755 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.08926397.\nAnswer: 0.026779191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 17. Let k = 3764 - 3756. Give l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/48 and 3\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*x, 5*i - 7664 = 5*x - 1824. Let p = -737 + i. Let j = p + 2131. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7310.8 less than -337526357?\nAnswer: -337533667.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 24 - 26. Let m be 4\/k + (-43)\/(-5). Let y = 25 + -16. Calculate the highest common divisor of m and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 30 = -2*n. Let c be 0\/(-3 - -4) + n. Let o(x) = -x**3 + 7*x**2 - 3*x - 1. Calculate o(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/21)\/((-40)\/(-280)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11887561, -23775122, -35662683, -47550244, -59437805?\n\"Answer: -11887561*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11081 bigger than -11081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 11. Calculate the highest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -61, -103, -171, -271, -409?\n\"Answer: -g**3 - 4*g**2 - 3*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*p - 5, -4*p - 7 = -2*l - 7*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(3\/11))\/(q**(-2\/37)\/q)*q*q**(7\/6)*q**(-6)\/q assuming q is positive.\nAnswer: q**(-5011\/2442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/30*980\/392.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 189 = 148*l - 151*l, 5*p + 157 = 3*l. Suppose 20 = 5*w - 0*w. Sort 2, -2, w, l.\nAnswer: -2, 2, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.332 + 0.732. What is the closest to -16 in l, -1\/3, 1.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - 4*x + 4*x)*(-3*x**3 + 3*x**3 - 3*x**3) + 2*x**3 + 2*x**2 - 5*x - 3*x**3 - 2705 + 2702 + x**4 to j*x**4 + o + r*x**3 + u*x + b*x**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-50)*(-10)\/(-3 - -1). Solve -2*q = -6*q + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4317*r**3*v**2 + 8*r*v**2 + 33311*v**2 - 6 wrt r?\nAnswer: 12951*r**2*v**2 + 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 14*c**2 - 13*c + 1. Suppose -13 = -0*x + x. Let f be j(x). Is 637*1 - (3 - f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -49. Let i be (-72)\/(-12)*v\/6. Suppose -3*h - a = -0*h - 38, 3*h - i*a = 58. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549085331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1587 + 1587. Let g(i) be the first derivative of 0*i**2 - 3*i**3 + 21 + k*i - 7\/4*i**4. What is the third derivative of g(j) wrt j?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*w + 12 = 0, -5*c - 2*w - w = -53. Suppose 5*a = 5*z - c, -2*a + 34 = a + 5*z. Suppose 4*d = a*d - 3*t + 11, -5*t = -5*d + 155. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 242800598 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - -71) + (1 + -11 - -20) - 104\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90262.6635 - 90284. Let y = v - -0.0365. What is y rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/4958 - -4937\/34706. Which is the closest to 1? (a) -7.4 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12707 - 13116 - 29*m**3 + 34*m**3)*(3 - 2 + 0).\nAnswer: 5*m**3 - 409","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 5*i**2 - 36*i - 31. Determine y(12).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383303530.\nAnswer: 2, 5, 19, 31, 59, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, d: 9, j: 2}. Give prob of sequence jdjo.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:31 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.1, 1, -38 in decreasing order.\nAnswer: 1, 1\/3, -0.1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-31680)\/1408*(-32)\/18.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*w + 272 + 0*w - 269 + (w - 53 + 53)*(-4 - 1 + 2) to b*w + q and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876664.4 meters to micrometers.\nAnswer: 876664400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 203534, 203308, 203082, 202856, 202630?\n\"Answer: -226*b + 203760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2270 and -2265 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31019 = -1029*t + 3318*t - 138367 for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -90503, 3, -1.\nAnswer: -90503, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1030346707241 from 0.1.\nAnswer: 1030346707241.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, 19, -21, -745 in decreasing order.\nAnswer: 19, 2, 0, -5, -21, -745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-21)*(-6)\/144)\/((-455)\/(-1040))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -4.5106?\nAnswer: 5.0106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 7*y + 4. Suppose 4*l = 2*l + 10. Let o(b) = 2*b**2 + 4*b + 2. Determine l*o(f) - 3*w(f).\nAnswer: f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60501636, 60501635, 60501634, 60501633?\n\"Answer: -o + 60501637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -55*r**2 + 5*r - 6. Calculate h(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*g**3 + 2*g**2 + 107 wrt g?\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -45?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 9*o**2 + 10. Let w be (23 + (-85)\/5)*3\/(-2). Give b(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 9 + 49. Suppose -22 + c*l**2 + l**3 + 14 - 4*l + 3*l**3 = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1472 - 1136. Calculate the greatest common divisor of u and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -1\/2 (c) -5 (d) 3.7 (e) -2\/2649\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 0.3 (c) 4 (d) -344 (e) 17 (f) 0.6 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1713642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1573208726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*o**2 + 41*o**2 + 12*o**2 + 115*o**2.\nAnswer: 114*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.017 and 10.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 7*d - 21 = 4*o, o = -5*d + 35 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94)\/470*(4 - (-70)\/(-20))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215256 and 528?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-1\/2))**(-2\/129)*m**(-5)*m\/(m*m\/(m\/((m**(-2\/17)\/m)\/m))) assuming m is positive.\nAnswer: m**(-2124\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 g when four letters picked without replacement from mmmqqgggm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 23*f**3 - 15*f**3 + 36*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.1. Let b = -1 + o. Sort -5, 3, b in increasing order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**7)*o*o*o**10 assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*m + 32*m + 6, -k + 5*m - 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13589 is divided by 3222?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Suppose 3*h - h = 5*m - 6, -9 = -3*h + p*m. Suppose j + 1 = h. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 + 14*v**4 + 1200*v**3 + 8928*v**2 = 0. Calculate v.\nAnswer: -12, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 239257, 239263, 239265, 239263, 239257, 239247, 239233?\n\"Answer: -2*j**2 + 12*j + 239247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 10) + -4 + 4 + -3 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6662 - -6683. Solve q*w - 1 = -127 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542516 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let o(v) = 6994*v**2. Calculate b(o(a)).\nAnswer: -48916036*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -143585081362?\nAnswer: -143585081362.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 51\/(-78) - (-24)\/156. Let x = 10 - 6. Let h = -6 + x. Which is the second biggest value? (a) l (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m**2 - 87*m**2 - 11 - 10.\nAnswer: -54*m**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = z + 5, 5*z + 3 = 3*k + 38. Suppose -8*d + 13*d = z. Solve -j - d*j - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + o + 2. Let b(k) = -k**3 + k + 4. Suppose 5*i + 10 = 3*i. Let t(u) = i*a(u) + 3*b(u). Is t(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 72, -16, 3 in decreasing order.\nAnswer: 72, 3, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = -f. Let p(n) = 5*n**2 - 2. Let g be p(f). Let t = g + -1. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 120*j + 3392. Let v be n(76). What is the greatest common factor of 2202 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24014 - 2331412?\nAnswer: -2355430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, 118, 195, 346, 595, 966, 1483?\n\"Answer: 4*p**3 + p**2 - 4*p + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 195 divided by -3\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 5\/(-4) + (-87)\/4. Let s = b - -103\/5. What is the nearest to s in 1\/3, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**3 - 2*a**2 - 2*a + 1. Let t be h(-5). Suppose 4*f - 3945 = -t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:23 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48482 = -95*t + 51617 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 + -104. What is the remainder when 41 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3974618*c**5 - 17115*c wrt c.\nAnswer: 79492360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81882084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-15)\/(-6))\/(-2) - (-5229)\/(-1162).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*2 + 16 + (-693)\/45 + (-484)\/(-44).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3111691\nAnswer: -1\/3111691","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1630 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 60995136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 1796*l - 27159. Calculate the smallest common multiple of ((-8)\/(-10))\/((-2)\/(-15)) and x(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 2011*g**6\/120 + 149*g**4\/24 + 5*g**3\/2 - 31*g**2 - 5*g - 3. Find the second derivative of y(q) wrt q.\nAnswer: 12066*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 4*o - 1. Let p be w(-2). Suppose 2*s = -p*s + 25. Find the second derivative of -3*d**3 + 3*d - s*d + 2*d**3 wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8 + 816*l**2 - 26 + 40 - 6. Let m(s) = 2*s**2. What is x(m(w))?\nAnswer: 3264*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 7:07 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 5*a**2 + 34*a - 15. Let v be f(-9). Let i = -28 - -55. Suppose -v*n + 3*z = -i, 46 = 4*n - 0*z + z. Is 11 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007*6.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**4\/6 - 5*t**3\/6 + 9*t**2. Let c(p) = -5*p - 6. Give -3*c(w) + 4*k(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0*b - 2*b**2 + 0 + 1\/24*b**4 - 1\/60*b**5 + 0*b**3. Let u = 7 + -9. Determine v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlsmmllllsmllllvsl. What is prob of picking 1 l and 1 v?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13228160 divided by 5?\nAnswer: -2645632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w - 3. Let s be v(3). Let j = s + 3. Solve 4*o + 4 = 2*p, -3*o - 2*o = -3*p + j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**4 + 4*t**4 - t**5 - 1 + t**5 + 1 + (4 - 6 + 3)*(t**5 + 0*t**4 + 0*t**4) + 2*t**5 - 2*t**5 + 2*t**5 + 4*t**5 - 2*t**5 + 0*t**5.\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(19\/2)\/i**(-2\/51))\/(i**(-2\/13)*i*i**(15\/7)) assuming i is positive.\nAnswer: i**(60799\/9282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1858 + 7024 - 2210 = 834*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2\/23 + 1407596*d\/23 + 7037930\/23 = 0.\nAnswer: -703793, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73859 - 45910. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 35844\/6003)\/(4\/30*(-10)\/(-24))\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 6*t + 5*t + 4 = 0, 0 = 4*k - 2*t - 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*x + 3*b, x + 1046*b = 1050*b + 35. Put -6, x, 57 in descending order.\nAnswer: 57, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35804581?\nAnswer: 577, 62053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12337 - -12439. What is the highest common factor of 2924 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p - 455. Let q(k) = 3*k + 152. Give 7*q(y) + 2*r(y).\nAnswer: 3*y + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2059 + 3058. What are the prime factors of p?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muuwe. What is prob of sequence uu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/2 + 19*o**3\/2 + 35*o**2\/2 + 17*o\/2 = 0. Calculate o.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 132 = -4*n. Suppose n = -m + 4*m. Calculate the smallest common multiple of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 68. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 8*q**2 - 6*q + 5. Give u(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/20 - 2*v**4\/3 + v**3 + 15*v**2\/2 + 9*v - 4. Calculate the smallest common multiple of 28 and u(8).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -8*p - 5 + 146 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-11)\/(-33))\/(-3*(-2)\/(-126)))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 3*f**2 - f**2)*(18 - 5 + 13)*(64 + 79 - 53).\nAnswer: 2340*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89 or 1\/2173?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.022 (b) 1 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/4 + 2*u**3 + 12*u + 3. Suppose -6*d + 132 = -3*d. What is the remainder when d is divided by w(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -111001100111?\nAnswer: -111001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19394995 is divided by 1367.\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 26. Let y be m(-11). Suppose -5*w = -y*w + 3*n + 63, -5*w + 189 = 3*n. Calculate the lowest common multiple of w and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 11 in ascending order.\nAnswer: -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 66.5. Let v = 7 - w. Sort 2\/7, v, 1\/8.\nAnswer: 1\/8, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*w, 5*w + 4 = 5*r - 46. Let z(p) = 15*p - 4. Let h(f) = 31*f - 9. Let y(n) = 3*h(n) - 5*z(n). Is y(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -23 + -2 + 3 + -4. Let u = m + 44. Suppose 129 = 3*q - u. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 3*q**2 - q + 1. Calculate the remainder when 75 is divided by a(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 - 457 = 72*u - 710 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -139021809*m**3 + 348359208?\nAnswer: -417065427*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (6 - -2 - (156 + -195))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-415))\/(666\/555). Let t = 0.82 + -3.82. Which is the fourth biggest value? (a) -4 (b) t (c) z (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*x + 3*w, 21 = 5*x + w + 1. Solve -4*v + x*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**3 - 13*j**2 + 55*j - 2191. What is c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36167017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 602 + -126. Suppose a = 2*k + d, 18*k - 15*k + 3 = 0. List the prime factors of a.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + 5*x**2)*(-3 + 2 + 2).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 14774*k + 5. Is q(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2. Let z(q) = -2*q**2 - 11*q - 6. Let x(y) = -p(y) - z(y). Let w(v) = v**3 + 13*v**2 - 16*v - 32. Let k be w(-14). Calculate x(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 10:47 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - m + 7. Let f = -18 + 12. Let k be f\/(-2 + -1) + -2. Is 7 a factor of t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6113?\nAnswer: 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79849, 0.6, -17 in increasing order.\nAnswer: -79849, -17, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 20381530\nAnswer: 61144590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 2*k**2 + k + 19. Suppose -2*a - 6*a = -3*a. Is w(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01079 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34.293 and -22?\nAnswer: 754.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - 75 - -41) + 1 + (-1 - (1 + -21)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c**2 - 12*c**2 + 41*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 198 - 0.156\nAnswer: 197.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**3\/2 - 81*h**2\/2 - 2187*h\/2 - 510. Factor j(p).\nAnswer: -3*(p + 27)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -8597, 1, -5 in decreasing order.\nAnswer: 1, -5, -14, -8597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 250\/8 - (-7 + 4)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 18. Let m(x) = 5*x - 27. Let l(q) = -8*j(q) + 5*m(q). Let s be l(-8). Which is bigger: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.235 - 2.2350839. What is j rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*f - q + 4*q, 5*f = 4*q + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3164 is divided by 93?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 899 - 873. What is the greatest common divisor of f and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3454527 is divided by 616.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 720 - 718. Suppose 4*d - 14 = -4*n - 6, 0 = 3*n. Let s(k) = 13*k**2 - 9*k**d - 5*k**p. Let b(m) = -10*m. Determine s(b(l)).\nAnswer: -100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/55)\/((-64)\/1936) - (-3)\/(-2). What is the nearest to p in -5, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337968 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 587 - 588. Let k(v) = -9*v + 2. Let z be k(2). Is 8 a factor of (g - 0)*(-50 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b - -76d?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45\/2 in 2, -3, -20423?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2565103171?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 787.1531kg?\nAnswer: 0.7871531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158.8 - -159. Let m = -41.1 + 41.6. What is the third biggest value in k, 7, -5, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11335224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -43 + 4*u + 80 - 37. Let d(v) = -2*v + 36. What is d(s(c))?\nAnswer: -8*c + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728)\/sqrt(6) - sqrt(2))**2 + sqrt(2) - sqrt(2)) + (sqrt(200) + sqrt(200) + sqrt(200) + -1)**2.\nAnswer: -60*sqrt(2) + 2043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*g + 14*g + 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11526741 and 987507.\nAnswer: 8739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.199995. Let x = 50 - 50. Let z = x + d. What is z rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 107*f - 428. Determine q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - (0 - 3) - 32480\/(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35721 divided by 7?\nAnswer: -5103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786621.\nAnswer: 1786621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 758 + -1146. Let q = 381 + u. Let t = -4 - -2. Which is the closest to 2\/5? (a) 3 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h**3 + 495*h**2 + 438045*h + 109480 = 0. What is h?\nAnswer: -136, -1\/4, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14686972 and 6070.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - q + 1844 = -z + 1881, -3*z + q = -16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 199? (a) 9 (b) 1\/2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11817 divided by -131?\nAnswer: -11817\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83146?\nAnswer: 2, 7, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 44\/20)\/((-4)\/190). Let p = -29 - y. Solve 3*a - 5*m + p = -a, -2*a - 3*m = -23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-44156)\/1848 - 3\/((-18)\/14)?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83570 - 83569.99. Let v = -17319467\/1638 - -137424\/13. Let s = v + -2\/63. Which is the fourth smallest value? (a) q (b) 1 (c) -5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195\/392 + -1\/392. Let r = 0 + 3. Which is the third smallest value? (a) r (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 6834*q\/5 - 638456\/5.\nAnswer: 2*(q - 3508)*(q + 91)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/33 - 410182\/(-660). Let o = -3106\/5 + a. What is the common denominator of -31\/12 and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/2613 and -37\/81685864?\nAnswer: 245057592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4 - 81 = -5*j, -2*w = -6. Calculate the remainder when 41 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71\/75 - -18\/25. Suppose 0 = -2*h + 3*h - 22. Let q be h\/8 - (-1)\/4. Is q equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65765 is divided by 193?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**6*s\/((s*s**(-4\/5))\/s))\/(s\/(s\/s**(9\/4))*(s\/(s**(2\/7)*s))\/s) assuming s is positive.\nAnswer: s**(1097\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5779895 divided by 4\nAnswer: -5779895\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - 1.9. Is s less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + g - 1. Let w be l(-2). What is the first derivative of 3 - 7 - w*p**4 + p**4 + 2*p**4 wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*h + h - h)*(1 - h - 1) - 2*h**2 - h**2 + h**2)*(-35 + 57 - 320*h**2 - 3*h - 24) to the form i*h**2 + a + m*h**4 + b*h**3 + y*h and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)*f\/(f*f**11\/f*f))\/((f\/(f\/((f\/(f**4\/f)*f)\/f*f)))\/f**5) assuming f is positive.\nAnswer: f**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(1 - (-10)\/(-6)). Let j(s) = -7*s - 1. Calculate the remainder when j(u) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*g + 4. Suppose -2*h + 2 = -2, 0 = -2*c + g*h - 126008. What is c rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697435 is divided by 139448.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5\/f*f**(9\/4)*f assuming f is positive.\nAnswer: f**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103021 and 121884?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)\/(l\/(l\/l**7))*(l*l**(2\/3))**(28\/9))**35 assuming l is positive.\nAnswer: l**(-770\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (10 - ((0 - 14) + (-6 - -17))) - 122.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4182*r + 11308*r - 4186*r - 2942*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - q - 25 = -9, 3*q = -3. Put -2, -55, j in decreasing order.\nAnswer: -2, j, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 1)*(-7 - 6*w + 0 + 0*w)*(-24 + 24 + 10*w - 37 + 37 - 3*w + 2*w - 4*w + 3*w + (3*w - 3*w - 2*w)*(5 - 4 + 1)) to j*w**2 + z*w + x and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8707 - 8701. Solve 0 = 56*p - 58*p - k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166824 - 93479. List the prime factors of j.\nAnswer: 5, 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3, -1, -622 in decreasing order.\nAnswer: 5, 3, 2, -1, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/5 + 2454*r**4\/5 + 1500609*r**3\/5 + 54332872*r**2.\nAnswer: r**2*(r + 407)**2*(r + 1640)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 10, u - 14 = -3*p - 1. Suppose -w = p + 3. Let a = 134 + -143. Is a greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + (96 + -215 - -10).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 10440 = 13*k. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.8 - 12.3. Let v be (0 + 6)*2\/(-28). Let g = -4 - -4. What is the third smallest value in g, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 = 3*l - 5*m + 618, 128 = 64*l - 6*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6565 - 6556. Let h(v) = -v**3 - 5*v**2 - 3*v - 3. Let w be h(-3). Calculate the smallest common multiple of i and w*1\/(-6)*4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**6\/90 - 17*w**3\/6 + 32*w**2. Let l(x) be the first derivative of u(x). Let o(c) = 24*c. What is o(l(q))?\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2*j - 16)*(137 + 488 - 88 + 298 - 95).\nAnswer: -1480*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2693*t**3 + 5469*t**3 + 1987*t - 1987*t.\nAnswer: 8162*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 8. Let u be k(0). Let j = 11 - u. Let n = 13 + -9. Solve g = -n + j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.22071 days to milliseconds.\nAnswer: 4857469344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/12*7\/35. Sort i, -63, 0.3, -3\/7 in decreasing order.\nAnswer: 0.3, i, -3\/7, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2868516 + -4?\nAnswer: -2868521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 18*o + 17. Let k(t) = 3055*t**2. Give z(k(m)).\nAnswer: 54990*m**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**5\/2 - 15*h**4\/2 - 5*h**3 + 15*h**2 + 5*h\/2 - 15\/2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/(-4)) - -5*(-28)\/40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -21*h - 204. Determine u(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 195 - 3 = 0. Is 29 a factor of (-1)\/(l\/10848) + 12\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 95220522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11120876 * 0.6.\nAnswer: -6672525.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 19*p - 85. Let u be h(-7). Is u at most 3\/190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 260 - 191. Calculate the highest common divisor of 46 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -856425*m**4 + 184*m + 300.\nAnswer: -10277100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(10) + 1*sqrt(10))\/sqrt(5) - (sqrt(48)\/sqrt(4))\/sqrt(6))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g**2 - g + 11. What is v(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 6, o: 1, v: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 + 2)*(-3*r + 0*r - r)*(2023*r - 49*r**2 - 2023*r)*(3 - 1 - 8) in the form b*r + n*r**3 + w + f*r**2 and give n.\nAnswer: -9408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0348791836 rounded to 4 decimal places?\nAnswer: -0.0349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 964838?\nAnswer: -964835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28720, 57457, 86244, 115105, 144064?\n\"Answer: 4*k**3 + k**2 + 28706*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 150. Suppose 721 + 1 = 19*a. Let p be a*(-7 + 105\/14). What is the greatest common factor of v and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.01, -7, 1\/5, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 53 = -49 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 22*t**2 - 8*t + 1. Let g be a(1). Suppose -g*c = -10*c - 3565. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3553418*a**2*j + 81*a - 42910311*j + 2 with respect to a.\nAnswer: 7106836*a*j + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/151?\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6407981 rounded to 2 dps?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 8*u**2 - 20*u + 4. Let v be d(10). Suppose -7*j + v*j = -21. Suppose -j = i - 0*z + z, -5*z - 20 = 2*i. Do -4 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.16 - 0.16. Let x = 6 - a. What is the second smallest value in -3\/4, 4, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 + 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 24, -5, -44, -93, -152, -221?\n\"Answer: -5*p**2 - 4*p + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5695363845?\nAnswer: 3, 5, 23, 1667, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(1 + 0))\/(-1). Suppose -2*l = -0*l + 3*r + 1, -3*r = 4*l + 5. What is the nearest to n in 0.5, l, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -76*c + 99. Let k(g) = -g - 5. Let u be (-11 - -23)\/(2 - 0). Let f(n) = u*k(n) - q(n). Differentiate f(s) with respect to s.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1063365)\/(-4) + 1\/(-4). Suppose 1265841 - l = 5*a. Round a to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 49267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*h - 21*h + 2526. Let w = h - -1516. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 154, 3, -5, -14.\nAnswer: -14, -5, 0, 3, 13, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/7? (a) 4 (b) 6.7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54803212?\nAnswer: 2, 59, 232217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -6. Let r(u) = -2*u - z + 3*u**2 - 6*u - 3. Let w(p) = -p**2 + 3*p + 2. Calculate -3*r(b) - 8*w(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12076.\nAnswer: 2, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 208\/(-6)*(-4239)\/(-36). Round v to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 160760?\nAnswer: -1\/160760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -29.61 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 3, a: 3, g: 2, n: 1, x: 2}. What is prob of picking 1 x and 1 n?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34942224 divided by 48\nAnswer: 727963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times 0.892?\nAnswer: 33.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-66417)\/120)\/13 + -5. Let b = z + 48. Find the common denominator of b and -43\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1980 + 2331. Suppose 6*c = 2*c + 212. Suppose -l - c = -s. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -7*l - 5*a + 25, 0 = 2*l + 2*a - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -798847474 by -16754.\nAnswer: 47681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at most -1023\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16\/14*(-7)\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a week in minutes?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24876644 - 7?\nAnswer: 24876636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(468) - sqrt(468))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (2 + 1 + sqrt(475))) + sqrt(475).\nAnswer: -3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 9*g + 194, 231391*g + 61 = 231395*g + k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-1 + 9 + -1194 + 1210).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5562, 5563, 5564, 5565, 5566?\nAnswer: 5567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 5. Suppose -n = -o + n - 26, -n = -3*o - 88. Let a = o - h. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648652 and 33660?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 158*m**2 - 64*m.\nAnswer: m*(m - 32)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hih when three letters picked without replacement from iiiiiiihhiih?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/52 and 101\/8442.\nAnswer: 219492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1835 + 1831. What is the third smallest value in r, -1\/2, -0.05, 11\/3, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, c: 8}. Give prob of picking 1 g and 3 c.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-4) + (-3)\/(-4). Is s less than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9544500?\nAnswer: 2, 3, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-45)\/2)\/(693\/(-220) - -3). Let i = l - 146. Let y = -0.1 + 0. Sort y, i, -5 in ascending order.\nAnswer: -5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)*z**4*z*z*z\/((z**(-1\/2)*z*z)\/z)*z*z\/(z\/z**4))**4 assuming z is positive.\nAnswer: z**(338\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3263026?\nAnswer: 2, 13, 41, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {q: 4, d: 1, h: 2, g: 1, f: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 374, 376, 378, 380, 382?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 8. Let o(y) = 9*y + 1. What is o(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -6 - (6 + -2 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 4489\/(-1540) - (17 - 12). Let g = u - -2\/1155. Calculate the common denominator of 43\/24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42872416*v**3 + 11846085*v**2.\nAnswer: 257234496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 9*f**2 - 1590*f - 7853. Determine s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49664271, 49664281, 49664305, 49664349, 49664419, 49664521, 49664661?\n\"Answer: j**3 + j**2 + 49664269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4653 + -172.507\nAnswer: -4825.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-7)*14\/(-8) - 5\/(-2).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225683917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**4\/4 - c**3\/3 - c**2\/2 + c + 1. Let n(p) = 4*p**3 + 2*p**2 - 12*p + 6. Let w(o) = -6*l(o) + n(o). Factor w(b).\nAnswer: -2*b*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.90951977 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 less than 1.9?\nAnswer: -920.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/(((d*(d\/(d*d**(-2\/13)))\/d*d)\/d)\/d))\/(d**1)**(-44) assuming d is positive.\nAnswer: d**(1762\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = a - n - 32, 0 = -4*a - 5*n + 60. Calculate the smallest common multiple of a and 185.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6501873 and 5213523?\nAnswer: 8589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1947.9006445399 + -32.9006559499. Let k = -1915 + i. Round k to seven dps.\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 + (-65 + 49 - (9 - 51)) + 0?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/10 and 5\/(-50) + 0 - (-1610)\/2850.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25139203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1839 + -1251. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/15)\/t)\/(t*t**11*t))\/((t\/((t**(1\/3)\/t)\/t))\/(t*t**(2\/7))) assuming t is positive.\nAnswer: t**(-1601\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 365420.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6566 + -450?\nAnswer: -10346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32715597837 - 4.\nAnswer: 32715597833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-5))\/((-1)\/(-5)). Let h = 9 - c. List the prime factors of (h\/2)\/(8\/128).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12871 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3 - 68*g**2 + 65*g**5 + 6*g**3 - 32 - 21*g + 67*g**5 - 128*g**5 - 67*g + 20*g**4 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1\/1856 (c) 4\/15 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 4*l**2 + 3*l + 1. Let y(x) = x**3 + 6*x**2 - 2*x - 9. Let w be y(-6). Let k be a(w). Solve 5*m = -3*j - 12, -k = -j - 0*j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 647141?\nAnswer: -647147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1077*m + 319825 - 639669 + 319844.\nAnswer: 1077*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198397.\nAnswer: 198397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 211*z**4\/12 - 37*z**3\/6 + z**2\/2 + 505*z. What is the second derivative of f(n) wrt n?\nAnswer: 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107798.\nAnswer: 2, 53899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 151118016 divided by -674634\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in -0.2, -20, 43, 2\/7, 4\/15?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Suppose 0*z + 5*z = 75. Suppose 61 + z = a*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 12. Let f = 1944 + -1792. Suppose -f + t = -10*v. Solve 4*y = 5*h - 21, 5*h + 5*y + v = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 876, 1654, 2432, 3210, 3988, 4766?\nAnswer: 5544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -142602?\nAnswer: 142600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 93 = -15. Suppose 0*y - 35 = 3*y + 4*a, 0 = -4*y + 4*a. Let r(w) = -w**3 - 5*w**2 - w + 5. Calculate the remainder when q is divided by r(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772 is divided by 169.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from uxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.140762 years?\nAnswer: 0.5140762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/3*5\/(-4)*3160\/(-3950)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 1 - 55 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1536 and 1080096.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14*d*d**(-8))**29 assuming d is positive.\nAnswer: d**203","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20358 greater than or equal to 20358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.14027859 from 61.\nAnswer: 63.14027859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p. Let f be (1 - 0)\/(9\/(-2)). Is f bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*w + 1. Calculate the greatest common divisor of w and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*y + 102312, 51155 = z + 1084*y - 1086*y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/21*(-12)\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-342)\/(-190) + (-42072)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 535821?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97393 - -140425. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 343, 0.16, 0.2, 6, -5, -0.2 in decreasing order.\nAnswer: 343, 6, 0.2, 0.16, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -6. What are the prime factors of 21*(1 + (560\/12 - m))?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*x + 0*x + 526 = 0, -2*h - 4*x = -220. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2850 - 7035 + 3*q - q + 1795 to a + g*q and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*u + 149*u + 82*u**2 in the form z*u + s*u**2 + j and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161885, -161881, -161875, -161867, -161857?\nAnswer: -161845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/1309 - -34016\/11781. Let m(r) = r**3 + r - 2. Let p be m(0). What is the common denominator of q and ((-74)\/21)\/(p\/(-3))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36.6 and -0.5.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-8)\/(-3))\/1)\/(35\/420). Solve 6*p + 2 = k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10306 - 202?\nAnswer: -10510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 4*h**2 + 7*h - 5. Let b = 271 + -266. What is p(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:33 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - k = 14, 522*c + 5*k = 519*c - 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) -0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 2, 605, 1, -27\/2?\nAnswer: 605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - w**2 - 18. Let s(i) = -i**2 + 8*i - 12. Let y be s(6). Let m be g(y). Let p = m - -137. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 1007482884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/12 + 521494\/(-282). Let f = 1849 + j. Let i = f + 35\/188. Which is the second smallest value? (a) 0.2 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 380222.6 years?\nAnswer: 3802.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 589*y + 599*y - 2376*y + 353*y**2 + 595*y + 596*y in the form h*y**2 + o*y + w and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 26 = 7*f - 10*f, 5*f + 5*n - 40 = 0. Solve -f*k - 102 + 48 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 3, t: 1, j: 1, r: 2}. Give prob of picking 1 r and 1 j.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79623 and 1575.\nAnswer: 13934025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-54) - 32\/(-18). Find the common denominator of 51\/16 and 410\/60 - (1 - w).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589500 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 less than -0.11?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 50145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 + -4.14. Let b = -7 + 4. What is the third biggest value in b, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 358, -4621, 13, -5 in descending order.\nAnswer: 358, 13, -5, -4621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 2*g + 2*g)*(3 + 0*g**2 - 1 - 2*g - 3*g**2).\nAnswer: -6*g**5 - 4*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + t = -123 + 130, 0 = -m - 59*t + 61*t - 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 smaller than -136\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n - 12. Let y(q) = -5*q**2 + 702*q - 274. Let s be y(140). Give u(s).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/21*14\/8*140\/(-175).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35 - 2\/2) + 3. Let i = 69 - n. Let v = 0 + i. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 = 3. Suppose 0*s = s - 7. Find the common denominator of s and ((-6)\/12)\/(q\/(-43)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 1791714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1243 + -1238. Put -16, -7\/5, p in increasing order.\nAnswer: -16, -7\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361392 divided by -4.\nAnswer: -90348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 24*k + 27*k + 12*k in the form a*k + c and give a.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*f + 5*a, 0*a - 3*a + 10 = f. Let c be (f + 2 + 1)\/(5\/5). Solve -3*u - 9 = c*w + 1, -5*u - 8 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:31 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 84357071?\nAnswer: 674856568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797150 is divided by 199242?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 177*y. Let l(b) = -18762*b. Let m(d) = -5*l(d) - 531*w(d). Let t(o) = -2*o. Determine t(m(r)).\nAnswer: 354*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -42.326 times -0.3\nAnswer: 12.6978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 159*t**3 + 15\/2*t**5 - 87\/2*t**4 + 150*t**2 + 516*t = 0.\nAnswer: -2, -1\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*-2*(sqrt(108)\/sqrt(3) - sqrt(36))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7367, -14658, -21971, -29318, -36711, -44162?\nAnswer: -51683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppiv when four letters picked without replacement from xxvvpxixxxp.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d**2*u**4 + d**2*u - 8*d**2 + 4*d - 7*u**2 wrt u.\nAnswer: 48*d**2*u**3 + d**2 - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p = -38*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 512967 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: Is 81409187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -5*c**3 + 2. Let v(n) = -9*n**2 - 10*n**2 - 2*n**2 + 21*n**2 - 2*n**2. Give z(v(a)).\nAnswer: -60*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1245?\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-17) - (-28527)\/(-118881) and 137\/490.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y. Suppose -5*k - 35 = -2*t, k = -4*k - 5*t. Put k, y, -1 in descending order.\nAnswer: y, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677371?\nAnswer: 677371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 7) in base 5?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13797*t - 234 - 13795*t + 22 as i + g*t and give i.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a**3 - 39*a**2 + 2*a**2 - 18*a**3 + (-a**2 + 3*a**2 + 0*a**2)*(3*a + a - 6*a) to o + w*a + c*a**2 + i*a**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18528 divided by -1\nAnswer: 18528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -3, 6, 21, 42, 69?\n\"Answer: 3*k**2 - 6*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -557*w**4\/4 + 11*w**2\/2 + 4*w + 187. Find the second derivative of t(b) wrt b.\nAnswer: -3342*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.0971728 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -69. Let p = h + 75. Let y(t) = -56*t**3 - 3*t**2 - t + 1. Let z be y(-1). Calculate the greatest common factor of z and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2 - 6. Find the third derivative of -26*t**v + 9*t**4 - 29*t**2 + 54*t**2 wrt t.\nAnswer: 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 27261, 0, 1, 9.\nAnswer: 0, 1, 3, 9, 27261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 26 + 16 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*q - 12 = -125*q. Let s be (q + (0 - 5))*2\/(-4). Which is the second smallest value? (a) 0.2 (b) s (c) -3 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 18. List the prime factors of (455\/14)\/(r\/4).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/10 + m**5\/12 - 7*m**4\/24 - 5*m**3 - 2*m**2 - 5*m. Let b be s(-3). What is the highest common factor of 40 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3297, -12032, -26445, -46542, -72329, -103812, -140997?\nAnswer: -183890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 2:51 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35562131.7 - 0.3042.\nAnswer: -35562132.0042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -81*n - 4. Let s(v) = -325*v - 15. Give 6*s(g) - 22*x(g).\nAnswer: -168*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 9) in base 2?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 17*y + 46. Calculate p(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 4331 - 539. Let t = k + 637. Suppose 0 - 5\/3*q + 5\/3*q**2 + 25\/3*q**3 + t*q**4 = 0. Calculate q.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*z + 5, -4*v + 2 = 4*z + 18. Suppose -5 = -2*m + z. Solve 3*a + m = -5*k, -3*k + 0*a - 5 = 5*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 70.043. Let j = f - -37.043. Let y = -37.00109 + j. What is y rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14301.033 microseconds to minutes.\nAnswer: 0.00023835055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*t = 2*q + 34, -3*q + 4*t + 54 = 0. Find the second derivative of -14*g + q*g + 0*g + 9*g**2 wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 + 13.7. Sort 1\/5, d, -18, -2\/11 in decreasing order.\nAnswer: d, 1\/5, -2\/11, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1. Let g(b) = b**3 - 8*b**2 + 6*b + 4. Let w(h) = g(h) - 3*t(h). Let i(l) = 2*l**3 - 15*l**2 + 11*l + 2. What is 6*i(a) - 11*w(a)?\nAnswer: a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 3*u + 7 + 2*u to the form v*u + b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.053 (c) -2079 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 19098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -106302 (base 7) to base 6\nAnswer: -224010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 2622336?\nAnswer: 13111680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.803 - -1.803. What is the smallest value in -3\/2, -0.1, -0.67, p?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.0259 + -0.0259. Let l = -325785.63 + 325773.6300002. Let o = l + z. What is o rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -623700327 + 2?\nAnswer: -623700325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 387083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86527*z**2 + 86714*z?\nAnswer: 173054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/20 - a**4\/3 - a**3\/3 + a**2 - 15*a - 49. Let f = -3 - 0. Give o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276496 and 11792?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + m - 3)*(-m - 2*m**2 + m) + 2*m**3 - 6*m**3 - 2*m**3 to the form p*m + x*m**3 + h + z*m**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = n, -5*n - 108*p + 107*p + 2 = 0. Sort 3, 4, n, -4.\nAnswer: -4, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 58 = 38. Suppose s + 3*y - 224 = -t, -y + 1147 = 5*s. List the prime factors of s.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449835062 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: List the prime factors of 898581.\nAnswer: 3, 299527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 3. Let q(g) = 4*g + 13. Let y(r) = -2*q(r) + 9*s(r). Give y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ca - -13?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1) + 6 + -2. Let b(x) = y*x - 4*x - x + x. Let s(l) = 7*l**2. Calculate b(s(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2\/15, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:32 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6564209 bigger than -6564209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 - 56\/(-14). Suppose -80 - 184 = -q*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3440795 rounded to three dps?\nAnswer: -0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(405)*-2 - (sqrt(405) - sqrt(405)*2*1 - sqrt(405)))*4 + -3.\nAnswer: -864*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0*g**(-5)\/g*g\/g**(3\/5)*((g*(g\/g**3)\/g)\/g)\/g*((((g**2*g)\/g)\/g)\/g*g**(1\/6))\/(g\/g**1)**(-7\/2) assuming g is positive.\nAnswer: g**(-283\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -44380*f - 177522. Calculate s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 < 38015\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 668, -15, 3, -121, -1 in descending order.\nAnswer: 668, 3, -1, -15, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**2*w + 4*t*w - 4*w + 58 wrt t.\nAnswer: -4*t*w + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 3:29 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**3\/6 + 15*i**2. Let s(a) = 2*a**2 + 30*a + 73. Let t be s(-12). Let o(h) = 2*h - 1. Calculate t*o(v) + 2*c(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -6, 15, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141.8198 months in millennia?\nAnswer: 0.09515165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 39*n + 2061. Calculate d(-69).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, v: 17}. What is prob of picking 2 q and 1 v?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10040?\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15446 - 4953 - 5179 + v - 4965)*(-3 + v + 3).\nAnswer: v**2 + 349*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83.36 - 83.337. Let h = -23287473 - -23287472.976999974. Let b = j + h. What is b rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 28 - 3 = 0. Let r(f) = -f**2 - 4*f + 7. Let y be r(o). Solve -z + 14 = 3*j, -z - 2*j = y*z - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 9*v + 9. Let o be w(6). Let a = o + 19. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-34)\/4) + (-27232)\/(-60384).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 1 + 7 + 13 - 2*b**2 + 4*b**2.\nAnswer: 2*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.89 - -5.6. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*q**2 + 5*q**2 + 35*q**2 + 84*q**2 as l*q + n*q**2 + u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13 + 11*p**3 - 4 + p**2 + 24 + 4*p - 2. Let t(v) = -5*v**3 - 2*v - 2. Let g = 48 - 45. Suppose 3*q - g = 12. What is q*t(c) + 2*z(c)?\nAnswer: -3*c**3 + 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 29*z**2 + 40*z - 25. Let v be s(27). Is v greater than or equal to -405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(68) - 2*-1*sqrt(68) - (sqrt(68) - (sqrt(68) + 4*-2*sqrt(68)) - sqrt(68)))\/(sqrt(28)\/(sqrt(28)\/sqrt(4))*3).\nAnswer: -4*sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1939917.\nAnswer: 1\/646639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Let x(j) = -j**3 + 7*j**2 - 7*j + 5. Let t be x(6). Which is the biggest value? (a) 1 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4472268 = 4472270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23967806*h**2 + 11983906*h**2 - 3*h**3 + 11983900*h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 334.\nAnswer: 1\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/(-4*529\/(-184)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**4 + 2 - 2 + (0*c**3 - c**3 - c**3)*(1 + 3*c - 1) to r*c**4 + h*c**3 + u*c + k*c**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 980919822 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9860 - 157701\/16. Find the common denominator of s and (-74)\/(-20) - 1\/(-5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, 2, -5, 0 in descending order.\nAnswer: 3, 2, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 7 = 10*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0461 (b) 1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458, -917, -1376, -1835, -2294, -2753?\nAnswer: -3212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -10. Let o = -4 + 9. Let k = o + -1. Which is the nearest to -2\/5? (a) p (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -4. Suppose -3*z + 10 = 37. Calculate the least common multiple of (6\/z)\/(14\/(-399)) and w.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**4\/12 + 7*p**2\/2 - p. Let c(a) = -2*a - 4. Let w be c(-2). What is the units digit of u(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/222824 and 11\/288?\nAnswer: 8021664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55\/4 of a hour?\nAnswer: 49500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/13)*c**(-1\/49)*c*(c*c**(-5\/2))\/c*((c*c\/(c\/c**(-46))*c)\/c)\/c*c)**(1\/3) assuming c is positive.\nAnswer: c**(-19723\/1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*j**4 + 54 + 3*j - 20*j**4 - j**3 - 57 as n*j**3 + x*j**2 + b + r*j**4 + l*j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 1, t: 1, c: 2, n: 2, q: 1}. Give prob of sequence qnn.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12457.8 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 804 and 1422678.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 12, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.3, -9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2.323 (b) -6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (37895 - (13 - 32)) + -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*a - 3*n - 6, -3*n + 14 = 4*a. Suppose -2*f = 3*q - 7, 39 - 32 = q - 4*f. Solve -5*o - a*g = -4*o + 1, -o = -q*g + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1010.53 + 1074.3. Let n = 64 - a. Is 0 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2306758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 3, h: 5, e: 1, d: 1}. What is prob of sequence hl?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.3. Let o(z) = -10*z - 156. Let r be o(-26). Let y be (-16)\/r - 1232\/104. Sort -4, l, y in ascending order.\nAnswer: y, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 times -1.63?\nAnswer: 260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7545009851.\nAnswer: 7545009851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317 is divided by 232.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -30, -36, -40, -42, -42, -40?\n\"Answer: p**2 - 11*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*m**2 - 324*b + 20414770*m**2 + 37*m - 145 wrt m.\nAnswer: -4*b + 40829540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 1:43 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 + 2 = 0. Let j be (7\/(-2))\/((-8)\/160*5). Let n be (-7)\/(j\/(-6)) - (-6)\/(-42). Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 46*x**2 - 147*x - 158. Calculate q(-49).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/38*(2 + 0). Let j = -0.1 + 0.07. Put h, -2, j in descending order.\nAnswer: j, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -403 + 383 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/26680 and -47\/1450?\nAnswer: 133400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**2*q)**(-1\/20)\/(q**(-1\/4))**(20\/3))**(-2\/3))**(-14) assuming q is positive.\nAnswer: q**(637\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*l - 156*l = -73*l - 4312. What is the remainder when 572 is divided by l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 11:17 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*r + 6, -3*r - z - 1 = -6*z. Let m(h) = -h**3 - h**2 - 2*h - 4. Let a(v) = -2*v**3 - 3*v**2 - 7*v - 13. Calculate r*a(s) + 7*m(s).\nAnswer: -3*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54034537.\nAnswer: 19, 47, 60509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.004?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w + 46 = 2*i, 3*w = -4*i + 82. Calculate the highest common factor of i and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 802481\/4 or 200621?\nAnswer: 200621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010523 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 0 (b) 9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/3)\/(2*6\/(-216)). Let i be 12\/90 - n\/(-405)*-3. What is the third biggest value in i, 0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Suppose b = -5*h - k - 3*k - 419992, 83998 = -h - k. Round h to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*w + 6519 = -49481. What is the remainder when w is divided by 160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*j + k, 7897*j = 7892*j + 5*k - 12 - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 5*g - 96, -3*t + 3110*g - 3107*g = 60 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/678 and 22\/5.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**5\/15 + 226*i**4 - 306456*i**3 + 4050*i**2. Solve g(k) = 0 for k.\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 27*u + 2. Let h be q(-27). Suppose -3*o = -h*g - 2*g + 53, 10 = 2*g. What is the units digit of o\/(30\/(-27) + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10932.264 months in years?\nAnswer: 911.022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19)*c)**(-19)*(c**7\/c)\/(c\/c**(-21)) assuming c is positive.\nAnswer: c**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-44)\/231)\/((-8)\/(-3756)))\/(1\/(-7)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 268249990*c**2*p - 27755*c**2 - 1702*c wrt p.\nAnswer: 268249990*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 - 2*m**3 + 2*m - 2*m**4 - 2*m**3 - 2*m**2 to the form n*m**2 + y + x*m**4 + b*m**3 + k*m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-165)*25*(3\/(-2) - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {a: 1, b: 1, t: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {j: 4, z: 5, l: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:23 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33151526 to the power of 1\/2, to the nearest integer?\nAnswer: 5758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*a**5*u**2 - 2*a**5*u - 5*a**2*u + 3*a*u**2 wrt a?\nAnswer: -4380*a**2*u**2 - 120*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/sqrt(3)*3 + ((sqrt(52) + -3 + sqrt(52) + sqrt(52))*4 - sqrt(52)) - ((6*-2*sqrt(91))\/((sqrt(77)*-2)\/sqrt(11)))**2.\nAnswer: -480 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 - 129. Let n be (7\/98 - (-3)\/i)\/1. Factor 1\/4*f + 1\/4*f**2 - n.\nAnswer: (f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orrqrcqqrorqqrqoooq. What is prob of picking 1 o and 2 r?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from oobooob?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:35 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x - 4*v = -37, -v = 4*x + 24. Let g = -1 - x. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let z = 0 - 0. Let d = u - z. What is the smallest value in d, -3, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - 5*j. Let d(u) = -10*u**2 + 12*u. Let h = 23 - 11. Let g(b) = h*c(b) + 5*d(b). Let y(t) = t**2. What is g(y(n))?\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)*(((i**(13\/4)*i)\/i)\/i)\/i)**(-20))**(-2\/189) assuming i is positive.\nAnswer: i**(34\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 - 5*m + 4. What is d(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (-4*(sqrt(130) + -1*sqrt(130)) + sqrt(130)))\/(-6*(sqrt(10) + -2*sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (820 - 427 - 215)*(-5*w**2 - 2*w**3 + 5*w**2) + 0*w**3 - w**3 - w**3.\nAnswer: -358*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + -8 + (339 - 303).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1375545 and 35580.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 0*m - 84 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1368082*t**2 - 5192739?\nAnswer: -2736164*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -551950 or -551951?\nAnswer: -551951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 11 + 11)*(-3*k + k + 4*k)*(-k**2 - k**2 + k**2).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnggbjgbpgjp. What is prob of sequence gb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2728, -109 in descending order.\nAnswer: -1, -109, -2728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 23373 = 4*c. Suppose -5*h = 2291 - c. What is h rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3940 or 3941?\nAnswer: 3940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36\/11 - 83\/22. What is the nearest to -2 in -3, g, 0.5, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 869 and 381649.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 175, 601, 1429, 2791, 4819?\nAnswer: 7645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*c - n + 7517, -2*c = -5*n - 5020. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a647c + 1?\nAnswer: -1a647b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, j: 4, r: 2}. Give prob of picking 1 r and 2 g.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:38 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypypypppppppppypyp. Give prob of sequence ppyp.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197164444?\nAnswer: 2, 19, 61, 71, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3443030123 + -3?\nAnswer: 3443030120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**4 - 10*c - c**4 + 13*c**2 - 35*c**2 + c**3 + 20*c**2 to a + z*c**4 + m*c + p*c**3 + o*c**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.081 - 0.181. Let f = 36 + -107\/3. Which is the nearest to n? (a) f (b) 3\/4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.05.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 55 - 38*i - 40*i + 80*i. Let g be w(-23). Suppose 0 = 5*a - 46 - g. What is the highest common factor of a and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 18 - 22. Let v be (-10)\/35 - t\/21. Find l such that -2\/3*l - 2\/3 + 2\/3*l**2 + v*l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -40\/3*m**2 - 2\/9*m**3 - 800\/3*m + 153. Solve s(g) = 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*v = -0*o - 5, 4*o - 2*v = 20. Let s(n) = 0*n - o + n**2 + 16 - 9*n. Let z be s(7). Let j(t) = t**2 + 2*t + 1. Give j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12626*x - 16742086. Determine d(1326).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.097046 - -0.01912. What is c rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 65 + 115. Calculate the common denominator of v\/(-6)*38\/(-6) and (-1)\/4 - 22\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/17)\/(90\/60)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 9. Let i be g(5). Suppose 6*r - 42 = 4*r. Suppose -r = -6*j + 3*j. Solve -4*o + j*o = i*p - 1, p = 3*o - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -5911?\nAnswer: -2955.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-34 - (8 + -29)) - 68?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f + 9. Let a(q) be the first derivative of q**2\/2 + 1415. Determine -4*a(t) - p(t).\nAnswer: 2*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4140 and 3432.\nAnswer: 1184040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 2*w**2 + w**2)*(-5*w + 5*w + 2*w**3) + 3*w**4 - 3*w**4 - w**5 + 2*w**2.\nAnswer: -3*w**5 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 5*h**2 + 4*h. Let g be p(-3). Solve 2*k + g + 0 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/7, -2163\/47, -2\/7, -5\/6, 10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1001 + -2.8431975.\nAnswer: 998.1568025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, p: 2, s: 5}. What is prob of picking 1 n and 1 s?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 368.5 and -0.605.\nAnswer: -222.9425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.07 (c) -0.04 (d) -3\/34 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 33 = -66. Calculate the remainder when ((-18)\/5)\/((-2)\/10) is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -982 + 921.3. Round l to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 668390 by 23.\nAnswer: 668390\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14163224839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**3 - 18*l**2 - 5. Let f(p) = 5*p**3 + 17*p**2 + 6. Give -6*f(j) - 7*r(j).\nAnswer: -2*j**3 + 24*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 4 (c) -0.373 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188285882.\nAnswer: 2, 127, 741283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k - 1. Let r(m) = -m - 2. Let a(i) = 5*i + 11. Let z(v) = -2*a(v) - 11*r(v). Let f be -3 + -3 + 1 + 4*1. What is f*h(x) - 6*z(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25240716889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 2*u**3 - 37*u + u**3 + 3*u**2 + 37 - u**3 in the form a*u + s + z*u**2 + b*u**3 and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810.511 millilitres to litres.\nAnswer: 0.810511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236 + -216. Let p = 9.09 - 9. What is the smallest value in -1\/3, p, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -1 + 5*36\/30. Solve k = k + c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10921531 times 153\nAnswer: 1670994243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from lgchtkcgt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert a887 (base 11) to base 4.\nAnswer: 3200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6432 or 6407?\nAnswer: 6407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 13, -8, -41, -86, -143?\n\"Answer: -6*l**2 + 9*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -457, -1718, -3813, -6736, -10481?\nAnswer: -15042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 24.950153.\nAnswer: 24.960153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/3, 8, -1\/399?\nAnswer: -1\/399","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from yvfydfvvmf?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 471061800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669985?\nAnswer: 5, 333997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1 + (-14 + 15 - 22)*(0 - 2 + 0) - 4 + 0 + 2 - 4 + 3 - 1 + (0 + 4 - 2)*(0 - 2 + 0) - 2 + 6 - 2)*(1 + 34*f + 0 - 95*f) to a*f + u and give a.\nAnswer: -2318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 10) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -11?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13805 + -13810. Sort 33, -1, 1, f in increasing order.\nAnswer: f, -1, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s + 199 = -17. Let a be -878004 - s\/(-16)*-8. What is a rounded to the nearest ten thousand?\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/380355 and -115\/456426?\nAnswer: 2282130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 3)*(-4 + 1 + 1) - 3 + 0 + 1 + 0 - 1 + 4 - 5 + 4 + 2 + (1 - 1 + 1)*(-2 + 0 + 4) + 1 - 2 + 0 - 3 - 1 + 2)*(r**3 - r**3 + r**3).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**5 + v**2. Let g(l) = -66*l**5 + 3*l**2 - l - 46. Let h(c) = g(c) - 3*o(c). Find the second derivative of h(i) wrt i.\nAnswer: -1380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412739257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 26*i**2 + 47*i - 14. Determine a(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -4\/7 (c) 2\/7 (d) 3\/7 (e) 784\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10086 and 42066?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 22*i - 18*i - 18 = 0, i - 2 = 0. Solve 4*x = -a, y*x = 5*x - a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let c(q) = -q + 3. Calculate the least common multiple of k\/(1 - 4\/2) and c(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 3)*73*1. Let z = g - -149. Let k(u) = 3*u**2 + 2*u + 2*u**3 - 3*u**3 - 2*u**2. What is k(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 571*l**2 + 848*l - 1105. What is d(-284)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.587 + -0.413. Which is smaller: -1\/38 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i - 2*k + 23, 4*i + 5*k - 32 = 0. Let l be -1*8\/i*3. Let w = 5 - 12. Is w greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 262*i**2 + 60106*i + 2544. What is j(147)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:48 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + -8 + 37 - 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1729*l - 3454. Suppose 5*a - i - 114 = 4, -3*a + 2*i = -68. Calculate the lowest common multiple of a and x(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18577 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 522569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-885)\/(-135) - 7 - (-7 + (-1855)\/63).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -40*k + 37. Let p be f(-9). Does 39 divide -12 + 8 - (p - 0)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aa (base 14) to base 15\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 1118. Let d = b + -374. What is the greatest common factor of d and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 170 = 5*d, 2*q - 112 = d + 3*d. Let l be d\/40*(-8)\/(-2). Which is the second smallest value? (a) -1\/4 (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 14738.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 54755\nAnswer: -109510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-6)\/(-21) - (23 - (-1606288)\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -11*k - 106. Let m = k + 56. Solve -o + 4 = m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1094 in 0.4, 0, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -50\/9, -777, 0.2?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from hzhrhzrh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 396 or 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*x - 12, -l - 2 = -x - 6. Suppose t = 2*p + 2*p - 42, -3*p + 9 = l. Let u = -184 - -184.1. Which is greater: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196998 is divided by 196939.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -3*f + 3, 106*s = 110*s + f - 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 3. Let a(x) = 4*x + 17. Calculate -a(d) + 3*m(d).\nAnswer: -d - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjpppjpjppp. What is prob of sequence ppjp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4106858889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 10261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqqf when four letters picked without replacement from qqnnnnfnnnqnq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 + 15*a - 29. Calculate k(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, -98, -360, -726, -1196, -1770, -2448?\nAnswer: -3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7807078ml?\nAnswer: 0.0007807078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260910 and 318890.\nAnswer: 2870010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.35346514 and 0.989?\nAnswer: 0.63553486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2721, 11012, 24829, 44172?\nAnswer: 69041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 802. Let u(v) = -v + 38. Give c(q) - 4*u(q).\nAnswer: q + 650","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(720) + 1 + sqrt(720))**2 + -5)*5*2.\nAnswer: -1440*sqrt(5) + 28840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 2646?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l**3 - 1718*l**2 + 352*l + 1376. Determine q(-172).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2380)\/385 + (-6)\/(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1095, 1, 66 in decreasing order.\nAnswer: 1095, 66, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - 2. Let z be (-6)\/27 + (-4)\/f. Suppose -4*k + 3*k + 17 = z. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50968 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r + 86 + 12*r - 86. Let h(f) = -f**2 + 5*f + 2. Give 3*b(z) + h(z).\nAnswer: -z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) -7701 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 12*p**2. Let l(k) be the first derivative of 23*k**3\/3 - 235. Give l(x(z)).\nAnswer: 3312*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132131 (base 4) to base 10.\nAnswer: 10141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {c: 3, d: 3, y: 2, u: 2, p: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 4. Suppose 85*c - 86*c + 8 = 0. Is u bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 657*b**2 - 425*b**2 + 857*b**2.\nAnswer: 1089*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 12. Let s be k(-9). Let h be -3 + (-12)\/s - 4. Let t be ((-1 - 1) + -14)*h\/4. Solve -3*l = l + t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738696580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, w: 3}. What is prob of picking 2 w and 1 q?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14261*h. Give a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(297) - (sqrt(297) - sqrt(297)*-2))\/sqrt(3).\nAnswer: -6*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0529 - -219.9471. Let o = -219.99999676 + x. Round o to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 4*z**2 - 7*z + 14. Let b(p) = p**2 - 4*p + 1. Let t be b(5). Does 22 divide k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7 = -n, n - 2*g = -0*n + 1. Suppose m + n*c = 3*m - 8, -m = -3*c - 10. Let t be (16\/(-12))\/(m\/3). Solve -t = -3*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49409, -49491, -49573, -49655, -49737, -49819?\n\"Answer: -82*f - 49327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12*7\/(-70) - -1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = 2*t, 2*w - 5*w = 5*t - 65. Let n be (13\/(-39))\/((-1)\/w*1). Suppose 0 = -n*y + 11*y - 144. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**6\/150 - 1014*o**5\/25 - 342732*o**4\/5 + 3428*o. Factor f(i).\nAnswer: -i**2*(i + 2028)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 3*s**2 - 2*s - 4. Calculate v(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 1195116 - g**3 + 1195116.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(14\/(-3))\/(-1). Suppose -47 = 5*f - 4*l - 19, 5*f + 26 = 3*l. Let r be (-3 + 0)\/(3\/f). Calculate the highest common divisor of v and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24613 (base 10) in base 16?\nAnswer: 6025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*3\/(-6)*6\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230.71 - -1.29. Let l = 231.8 - v. Sort l, -26, 0 in increasing order.\nAnswer: -26, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(288)\/(sqrt(6)*2) + 0.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)\/l)\/(l*l**2*l))\/(l**(-1\/5)\/l**10) assuming l is positive.\nAnswer: l**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66.047655 + -0.11.\nAnswer: 65.937655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**2 - 43954 + 21989 + 21965.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1666))\/(sqrt(100)\/sqrt(2)) + 5 + 5.\nAnswer: 10 + 28*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80266549 is divided by 1183.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 17*s - 318. What is j(-28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 11, x: 8}. Give prob of sequence cxcc.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from wwoowwuaoaoowawoodu?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. Let a = d - 0. Solve 3*m = -2*m + a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**5 + 205*l**4 - 9*l**2 - 205*l**4 wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 16*s + 35. Let l(f) = -7*f + 455. Let t be l(67). Give j(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 636 and 795.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(405) + sqrt(5) + sqrt(80) + 0 + 2)**2.\nAnswer: 140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 + 503 = 5*m. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**3 - 23*a**2 + 5*a - 39. Calculate i(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 393.64107 to the nearest integer.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {x: 2, t: 3, m: 1, h: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 * 0.26\nAnswer: 0.1274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 12*a + 2. Suppose 51 = -5*k + 1. Is w(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8832102ml in litres?\nAnswer: 0.0008832102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.3, -11, -4, -2, -29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196979157*n**3 - 2878251*n**2 + 12 wrt n.\nAnswer: -1181874942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3069700 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -2, -2\/3, 0.31.\nAnswer: -6, -4, -2, -2\/3, 0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 148055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 2 - 38 + (5 + 1 - 3)*(4 - 1 - 2))*(-m**3 + m**3 - m**3) in the form k + f*m + w*m**2 + a*m**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17528 and 364.\nAnswer: 227864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 84488002 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 31. Let s be j(33). Which is the nearest to 5\/3? (a) -0.5 (b) s (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.6129876 rounded to 2 decimal places?\nAnswer: -64.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1620) + sqrt(1620)*-2)*-3)\/(-1*sqrt(256)*6 + sqrt(256) + 4*sqrt(256)*2) + 2.\nAnswer: 2 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40465465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17664 - 4788 = -50*t + 494*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = i + 4*y, -6*y + 8 = 4*i - 7*y. Let k = 0 - 0.1. Which is the nearest to i? (a) 0 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 + 3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + l**3 + 2*l + 1 + 6 in the form b*l + r*l**3 + d + k*l**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20773857659 - -0.3.\nAnswer: 20773857659.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2056 - 779. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -a + 5262 + 5311, a + c - 10589 = 0. List the prime factors of a.\nAnswer: 5, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c - 16. Let o be k(8). Suppose 4*a = 4*p + p - o, -5*a = -4*p + 21. Let x be a\/(2\/(-3)) + (-20)\/(-8). Solve -2 = -3*q + x*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/9 - 2570*x**3\/9 + 796478*x**2\/9 + 266350*x\/3 = 0?\nAnswer: -1, 0, 525, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - (-2 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-182)\/4914)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4163\/33 + 3021\/22. Let k = -9 - -5. Which is the third biggest value? (a) k (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and 12.4142131.\nAnswer: 12.3742131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353205322 to the power of 1\/3, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 170808037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*t - 408 = -234*t + 172 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*c - 4*c. Suppose 3*b - h = -36 + 108, -12 = -c*h. Suppose 62*p + 12 = 65*p. Solve 2*l + 6*u = 3*u + 25, -p*l = u - b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeq when three letters picked without replacement from qeqeeeqeqeqeqeeqqeeq?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + n - 104 = 41, 5*n = -4*c - 255. Let y = 352\/5 + c. What is the third smallest value in -2\/17, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*a - 1 = 5, -5*a + 24 = 2*f. Solve 1 + 2 = f*j - 3*q, -j + 4*q = 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let j be 13\/5 - 4\/(-10). Let f(c) be the first derivative of c**3\/3 - c**2\/2 + 86. Determine j*u(z) + f(z).\nAnswer: z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + v**2 - v + 22. Let p be g(8). Let m = p - -3026\/7. What is the common denominator of m and (194\/18)\/((-2)\/3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*d + 4686 = 0, -4*y + d = -5120 + 410. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90795*u - 90608*u - 748 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 r, and 1 h when four letters picked without replacement from {h: 1, r: 2, k: 5, f: 5, d: 2, o: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1663*w + 11 = -1672*w - 151 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-936)*-30 - 2\/(-8). Factor k**4 - k**2 + 2\/3*k**3 - m*k + 0.\nAnswer: k*(k - 1)*(k + 1)*(3*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3841 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400855280 and 7840?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.3 + -26.3. Which is the closest to w? (a) 1 (b) -0.13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27585577.49 to the nearest one thousand.\nAnswer: 27586000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 5*z**2 + 4*z + 7. Let d be p(6). Suppose 3*k - 2 = 22. Suppose -l - k = -2*h, 0*h - 22 = 5*l - h. Put d, l, 5 in decreasing order.\nAnswer: 5, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -396, -5146, -9870, -14562, -19216, -23826, -28386, -32890?\n\"Answer: o**3 + 7*o**2 - 4778*o + 4374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from ihxqqnhvx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/42 and 73\/4914?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3174320 by -40.\nAnswer: -79358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3331015 (base 6) in base 4?\nAnswer: 220313303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x**2 + 8. Let h = -3 - -3. Let v be o(h). Let n be 12\/v*(-16)\/(-6). Solve -n*c - 17 = -1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011216 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2 and 25\/(-125) + (-587)\/90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1383, -3295, -5207, -7119?\nAnswer: -9031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 138759, 138770, 138781, 138792?\n\"Answer: 11*k + 138748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 116 + 11*u - 12*u + 117 - 86*u**2 - 240 as l*u + m + o*u**2 and give o.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 4424727*h**2 - 8849451*h - 4424725.\nAnswer: -(h + 1)**2*(h + 4424725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcvvccfvfvgv. Give prob of picking 1 f, 1 g, and 1 c.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 2*z + 16. Let w = z + 27. Which is the biggest value? (a) 0.5 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.106475724 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38374016.\nAnswer: 2, 409, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377 plus -3935.40402?\nAnswer: -1558.40402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - f - 4 + 0*f)*(3*f - f + 0*f) + 722*f**2 - 316*f**2 - 30*f**2 to the form o + c*f**2 + y*f and give c.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 288376981 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13370.\nAnswer: 2, 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/(-3))\/((-22)\/(-495))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136.7 + -131. Let i = f + -8. Let h = i + 2. Put -1, h, -2 in decreasing order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 30050*a**2 + 48. Let g(o) = 2*o. Calculate c(g(m)).\nAnswer: 120200*m**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*g + 6, 8*g = 3*g + 2*v - 10. Let t be (6\/15)\/(g\/(-10)). What is the third derivative of 33*u**5 + 17*u**t - 17*u**2 + 16*u**2 wrt u?\nAnswer: 1980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 21 = -4. Suppose -a*c = -5*y - 15, -5*c = -4*y - 16 + 1. Find the common denominator of -117\/10 and (y - 0) + 6\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:17 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 68) + 95 + (1 - -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/13))**(-3\/20)\/((t\/t**(1\/3)*t)\/(t\/(t\/(t**(-1)*t))*t*t)))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 157*g - 1216. Determine m(10).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*y - 25, -3*p - 16 = -5*y - 65. Let v be (-88)\/(-9) + y\/(-36). Sort 0, v, -5.\nAnswer: -5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 14) to base 2.\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 = 3*y, d - 5*y - 14 + 0 = 0. Suppose v - 4*v + 3*u = -51, -d*v + 65 = -u. Suppose 7*f - v = 19. Solve -f*n = -n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2243*k*r**2 + 5*k*r + 235*k - 56*r**2 - 1900715 wrt k.\nAnswer: 2243*r**2 + 5*r + 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 300*y**2 - 4194*y\/7 - 2096\/7.\nAnswer: -2*(y + 1)**2*(y + 1048)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + k - k + 4. What are the prime factors of j(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(425) - (sqrt(425) - (4*(sqrt(425)*3 + sqrt(425)) - sqrt(425)))) + -2 + sqrt(425) + sqrt(425)*-2 + sqrt(425)))**2.\nAnswer: -10800*sqrt(17) + 3442644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -36, -6, -10, 17 in descending order.\nAnswer: 17, 5, -6, -7, -10, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 15, j: 3}. Give prob of sequence jbbj.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89845770 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25 - 25 + 8*b**2 + (-b + 5*b - 3*b)*(-b + b - 2*b) + (2*b - 5 + 5)*(-2*b + 4*b + 9*b + 0 - 4*b + 0 + (-3 + 2*b + 3)*(5 - 2 - 2)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50631459 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 7*j + 164 - 224 + 153.\nAnswer: -12*j + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2448)*-1 + 2*sqrt(2448) + 1 + -4 + -2*sqrt(2448)*-6)**2.\nAnswer: 624*sqrt(17) + 413716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -114*m**3\/5 - 61892*m**2 - 173688*m\/5 + 21712\/5 = 0. What is m?\nAnswer: -2714, -2\/3, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 8)\/((-1 - 5)*1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*z**4 - 9*z**3 - 1181*z**2.\nAnswer: 3048*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -33*n - 7. Calculate the remainder when l(-4) is divided by (4\/(-6))\/(2\/(-96)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(119) - sqrt(119))*1 + (sqrt(119) - sqrt(119)*-3*2))*2)\/((1*sqrt(847) + sqrt(847))*2 + sqrt(847) + sqrt(21)\/(1*sqrt(363))))**2.\nAnswer: 51425\/91809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 + 240.345. Let k = 0.654711 + j. Round k to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - (-1 - -1)) + (-7810 - -7794)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b + -5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -10*p**3\/3 - 8*p + 7. What is the derivative of i(v) wrt v?\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-75))\/(259\/3). Let w = 110079\/5180 + n. Let m = -779\/510 + 32\/51. What is the common denominator of w and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -17.2. Which is smaller: p or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*j - 4148 = 16*j + 31*j + 4*j for j.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 3*g**2 + 4*g**2)*(-3*g + 2*g + 4*g)*(1908123 - 1908123 - 617*g).\nAnswer: 1851*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 8*u + 52 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -41 in decreasing order.\nAnswer: 1, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -14.12 != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178 - -174. Let l(s) = 6*s**2 - 17*s + 41. Let j(m) = -5*m**2 + 16*m - 40. Let w(z) = d*l(z) - 5*j(z). Determine x, given that w(x) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 39*i + 1215*i - 485*i + 578*i + 1116*i. Let v(f) = f. Give v(g(t)).\nAnswer: 2463*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 40*q**2.\nAnswer: -5*q**2*(q - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -130, -248, -366?\n\"Answer: -118*f + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11830423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405206?\nAnswer: 2, 83, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/195253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 2*f**3 + f - 6*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-6)\/(-10))\/(((-270)\/75)\/3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(1100)*3*-5 - (-5 + (-1 + sqrt(99) - (2*sqrt(11) + 4))))**2.\nAnswer: 17980*sqrt(11) + 8890311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*i + 0*q = 3*q + 416, -17*i - 2 = -18*i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2310 and 26730?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 19 - 31 = 3*z, -44*m = -4*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*l + 208 = 0, t + 2*l - 47 = 6*l. Suppose -3*q + t = -3. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -2*t, 3*k + 17 = 4*t - 0*k. Let x = t + -7. Let y = 4 - x. Calculate the remainder when 14 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 0) + -76 + 75.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 2*f - f)*(2*f - f - 2*f) + (33 - 28 + 47)*(-f**2 + 2*f**2 + 0*f**2) to s + b*f + z*f**2 and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + 843\/(-30) + -15?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34822 is divided by 247.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 17. Let b be d(8). Sort 3, b, -2.\nAnswer: -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5*z - 23, 4*j + 30 = -1555*z + 1550*z - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 45*y - 95. What are the prime factors of h(-25)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k**2 + 2*k + 186. Let p(v) = 8*v**2 + v + 92. Let l(j) = -10*p(j) + 6*y(j). Differentiate l(a) with respect to a.\nAnswer: 32*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4370*a + 39096. Give j(9).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14780 (base 9) to base 13\nAnswer: -47b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1095 - 3.1095. What is the third biggest value in 0.06, -2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 410536, 410533, 410526, 410515, 410500, 410481, 410458?\n\"Answer: -2*h**2 + 3*h + 410535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a = 2*a. Solve 0*o - 2*o = a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -639 - -1871. What are the prime factors of y?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + z. Let d(c) be the third derivative of 0*c + z - 1\/30*c**5 + 1\/3*c**3 + 1\/12*c**4 - 1\/60*c**6 - 6*c**2. Find h such that d(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000357647614 rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*t - 2, 65170*t - 4*v - 10 = 65180*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1496 - 5236 = 396*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + (-2 + sqrt(700))**2 + 3 + (sqrt(700) + sqrt(700) + (-1 + sqrt(700))*-1)**2.\nAnswer: -10*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 9 = -q. Suppose 2*u - q - 5 = 0. Solve 2*r - 4*s = u*r - 20, -5*s + 25 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 s when four letters picked without replacement from sqqsssqqqqqqqsssqjss?\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*p + 87*p + 441*p - 996 = 14168 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.89 + -14. Let y = 3.11 + w. Let l = 4.2 + -0.2. Which is the closest to 1\/5? (a) -4 (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42174, 168789, 379812, 675243, 1055082?\n\"Answer: 42204*j**2 + 3*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81*k**2 + 2*k + 2 - 1 + 88*k**2)*(-269*k**2 + 43007 - 43007) in the form n*k + q*k**2 + s*k**4 + j*k**3 + c and give j.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/7233 and 61\/43398?\nAnswer: 43398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**3 + 5*z**3 + 11*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*j + 3*t + 76, -248*j - 4*t + 6269 = -309*j - 358*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 3*d**2 - d + 2. Let k be v(3). Let i = k - -19. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 6*v - 11*v. Let n = 21 - v. Suppose -5*l + 4*l - m = 1, -4*l = -2*m - 2. Solve 0*r - 2*r - n = l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -5.8. Let m = u - -9. Sort 1\/5, m, 0 in descending order.\nAnswer: m, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 divided by -566?\nAnswer: -479\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*f - 578*f + 19*f**2 + 2 - 26*f**2 + 1065*f.\nAnswer: -7*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/7*(21\/20)\/((-81)\/(-135))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = l. Let f be 3 + 3 + -1 - l. What is the remainder when 50 is divided by 38\/f + (-4)\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -5, -2, 2, -1710?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00761 rounded to three decimal places?\nAnswer: 1.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 14 = -j. Let z(x) = 4*x**2 - 10*x. Let s be z(j). Suppose 0 = -3*l, 0 = -n - 5*l + 7 + 11. Calculate the highest common factor of s and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27836120184070 - 24*n**2 - 27836120184070.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 391 = o, -q + 4*q + 2*o = 296. Let d = 106 - q. Suppose -7*n - d + 582 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k + 29*k = 2*g + 27, -4*g - k = 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 823863 divided by 7\nAnswer: 823863\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1052 and 360324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 16*h - 43. Let y be 38\/(0 + -1 - -3). Let f = -15 + y. Sort f, -3, h in ascending order.\nAnswer: -3, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 2. Let n(m) = -m**2 - 5*m - 5. Let c(h) = -2*n(h) + 5*p(h). Let r(z) = 5*z**2. Give c(r(l)).\nAnswer: 50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-566)\/(-6))\/(24\/576)?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/195 and -67\/78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.4 + 8. Let i = g - -4.4. Let d = 301 + -298. Sort i, d, -1\/10.\nAnswer: -1\/10, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340454.\nAnswer: 2, 170227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 22 = -7. Suppose 3 = 4*s - m. Solve s*x - 15 = 7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 0, 26, 74, 150, 260?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12252 (base 8) to base 9\nAnswer: -7227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 + 101*m**4 + 194*m**3 - 404*m**2 - 792*m.\nAnswer: m*(m - 2)*(m + 2)**2*(m + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -15 + 4 + 34\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = 29*w - 105*w. Let d(v) be the second derivative of 0*v**2 + 0*v**3 - 2\/15*v**6 + 0*v**4 + 25*v + 0*v**w + 0. Solve d(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33417 - 33395.927. What is k rounded to one decimal place?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*r**5 + 3075*r**4 - 101265*r**2.\nAnswer: -2640*r**2 + 73800*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = h. Suppose -87*s + 60*s = -891. Suppose b - s = -4*m, -154 = -h*b - 5*m - 48. Calculate the remainder when b is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11928442 = -9*j - 120229286. Suppose 5*m = -23305102 - 6273938. Let n = j + m. Round n to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2062\/36*6\/4. Let w = -61 - -153. Let p = v - w. What is the common denominator of 9\/2 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 20 = -62*b + 58*b, 5*i = -2*b - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/186)\/((-19829)\/(-7781))?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*((sqrt(32)\/sqrt(2))\/sqrt(2) + (sqrt(2)*2 + -4 - -3*(0 + sqrt(2) - sqrt(2)))).\nAnswer: -28 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/1516, 86\/15, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 2*z**2 - z**2 + 10*z + 17 + 4*z. Let k be g(-8). Suppose 7*x - 72 - k = 0. Calculate the least common multiple of x and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 3. Suppose -c*t + 18 = 3. Suppose 3*k = -t*s + 4*k + 41, 5*s = -5*k + 75. Calculate the remainder when 27 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -142*v**3 - 1 + 45*v**3 + 47*v**3 + 14*v + 13 + 48*v**3.\nAnswer: -2*(v - 3)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = s + 4*x, -3*s + 2*x - 19 = 7*x. Let z be 1\/(20\/42) - s. Let y = 0.009 + -0.509. What is the smallest value in y, -3\/4, z?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, -42, -125, -230, -351?\n\"Answer: l**3 - 20*l**2 - 2*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*4\/(-6) - 0. Put 4, -11, g in ascending order.\nAnswer: -11, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -187. Suppose i*q = -q + 1309. List the prime factors of q.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**4\/12 - 19*n**3\/6 + 33*n. Suppose j(g) = 0. Calculate g.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 + -181. Sort r, -1, 3, 2 in increasing order.\nAnswer: -1, 2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from wxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 0 + 1, -5*l + 29 = -4*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1404728, -2809458, -4214188?\n\"Answer: -1404730*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-6) - (-627)\/99. Solve l*h = -2*d - 33, 3*d = -58*h + 57*h - 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34214.94532 to 0 decimal places.\nAnswer: 34215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 4*d**2 + d**2)*(-d**2 - 7078*d + 3359*d - 1 - 2047*d).\nAnswer: 2*d**4 + 11532*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) - 164\/9. Suppose -32*q - 84 = 12. Let i be q\/((-27)\/(-24))*(-435)\/(-58). Which is greater: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.34549 - -0.03751. Let m = q - 16.3. Let t = m - 0.18. What is t rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y = -1521. Calculate the remainder when y is divided by -12 + (48\/4 - -15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 18*l**2 - 29*l - 28. Let q be k(16). Let g be 4 - (3 - 4)\/(-1). Solve g*p = -p - q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6260022142 to the power of 1\/2, to the nearest integer?\nAnswer: 79120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160152 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*s + 11848 - 1434, 4*b - s - 41621 = 0. Does 68 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 54. Let s(k) = -k**3 + 4*k**2 + 2*k + 5. Let x be s(5). Let t = x - -20. Calculate the remainder when u is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-765)*(8\/(-2) - -1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1298)\/1003)\/(156\/442).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.5*4.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4972819013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -95 times 100.958\nAnswer: -9591.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/54*3*4*(-17)\/(-9877).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*x = -30, 4*x - 26 = -3*p + 4. Suppose 4*n = -2 + p. What is the remainder when 7 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5639 - -5649. Put -10, -3, 4, n in descending order.\nAnswer: n, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 5*f + 5. Let m(o) = -2*o**2 - 6*o - 3. Let b(j) = -j**2 - j. Let h(x) = 3*b(x) - m(x). Give -5*h(n) + 3*z(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 4 = 0. Let t be 19\/3 + y\/(-6). Suppose 4 = -2*r + t*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2.6, -1\/4, 1\/2, -25 in decreasing order.\nAnswer: 22, 1\/2, -1\/4, -2.6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.8 (b) -2\/19 (c) 0.2 (d) -176 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -441*b**2 + 9879*b + 1477*b**2 - 9877*b + 292*b**2 as r*b**2 + f + x*b and give r.\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 3*c + 2. Let n be y(-3). Suppose 2*s - 4*i - 170 = -6*i, i - 170 = -n*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 55 = -w + 4*b, 2*w - b - 104 = 0. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-5)\/(sqrt(30)\/sqrt(80) - sqrt(6)).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from satyasdszda. What is prob of picking 2 s and 2 d?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 55192 = 5*k + 13478, -5*u - 2*k + 171704 = 0. Is u a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**5\/5 + 178. Let m(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -298269 greater than -298270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 79*q**2 + 11*q**2 - 21.\nAnswer: -68*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/17 + -1\/51. Suppose -5*d - 2*m = 2*m + 5, -4*d - 2*m = -2. Let n be d\/5 - (-72)\/(-70). What is the biggest value in 3, u, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c)**(-9)*(c**(-1))**(5\/4) assuming c is positive.\nAnswer: c**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/112*40*(-4)\/(-10). Sort a, -0.2, 0.3, -15.\nAnswer: -15, -0.2, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaee when four letters picked without replacement from {s: 5, a: 1, e: 4, z: 3}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 415356761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2194 + 2261 - (96 + 3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*d**2 - 122 + 122 + (d - 3 + 3)*(-4*d + 0*d + 0*d) to u*d**2 + v + c*d and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbvsbssssksshksbh. Give prob of sequence kkb.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g - 2*g)*(13 + 68 + 25485*g - 12721*g - 12731*g).\nAnswer: -165*g**2 - 405*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 246 - 382 = 0. Calculate the lowest common multiple of t and 560.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:10 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 632, 1424, 2532, 3956, 5696?\nAnswer: 7752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7762900 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 28, 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -67.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:48 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -29*p - 13. Let v be o(-8). Calculate the remainder when 184 is divided by (-10)\/35 + v\/7.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/8166 and -101\/8?\nAnswer: 32664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 4*s - 5. Let k be n(-5). Suppose 4*y - 266166 - 347730 = k. Let i = y - 1073474. What is i rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10155 (base 7) to base 15.\nAnswer: -b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 23*g**6\/10 - g**4\/12 - 11*g**2 - 284*g. What is the derivative of o(u) wrt u?\nAnswer: 276*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 18. Suppose x + 56 = -2*u, 0*x - 4*u = 5*x + 286. Let p = 52 + x. What is the tens digit of m(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 v when three letters picked without replacement from wvbqeeaavbwwwee.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -387 + -420. Let y = j - -1292. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 10*d = 660. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49\/4 of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - -0.009. Let h = 0.05046 + o. Round h to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60, 42, 16, -12, -36, -50, -48?\n\"Answer: t**3 - 10*t**2 + 5*t + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24299 plus -1?\nAnswer: 24298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9355)\/14968)\/((-5)\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 80*p - 4. Let h be q(-8). Calculate the remainder when h\/(-20) - 1\/5 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 99.7026 millilitres?\nAnswer: 0.0997026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1446 and 28310752?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2 - 45 = 0. What is g?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4900 and 2660?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 7:43 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1147887ng to grams.\nAnswer: 0.0000000001147887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.585159831 * 1\nAnswer: 0.585159831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 1506905*l**2 - 7534620*l - 9041580.\nAnswer: 5*(l - 301386)*(l + 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -15. Let w be (-2344)\/26 + o\/52. Let q = -59 - w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**(1\/2)*m))**(-1\/2)*m**(-4\/5)*(m\/(m*((m\/m**(-4))\/m)\/m*m*m)*m)\/m*(m*m\/(m**2\/m)*m)\/(m*m**3)*m*m*m**(2\/3)*m*m**(-3)*m assuming m is positive.\nAnswer: m**(-383\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119228481.\nAnswer: 3, 23, 167, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6637 is divided by 3315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2671 + 4879 + 2591 - 217*v - 139*v - 137 wrt v.\nAnswer: -356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = 0, 4*h - 3*d = -2 - 5. Suppose -h*c - 117 = -3*p, 70 = 2*p + 5*c - 27. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35028 and 5421?\nAnswer: 455364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/20 + 5\/12. Let u = -0.36 - -0.76. Put 1\/3, -2\/13, u, m in decreasing order.\nAnswer: u, 1\/3, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6412327\/21 - -304920. Let g = -429 - w. Which is the nearest to 0? (a) g (b) -2\/9 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 + ab?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834286285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a + 5*a)*(0 + 5 - 1 + 2*a).\nAnswer: 12*a**2 + 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b**2 - 4396*b - 39682. Give o(-9).\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/1 - (3 - 1). Let r = 9 + a. Suppose 0 = -3*n - o + 103, r*n + 4*o - o = 134. What is the remainder when n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 26*f - 179. Give v(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l - 1. Let r be p(-1). Let y be 9\/r + (-64)\/90. Let a be (-2 + (-28)\/(-6))*30\/(-20). Sort 3\/4, a, y in descending order.\nAnswer: 3\/4, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {q: 1, m: 5, n: 3}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 22, -0.07, -1\/3, -39?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2 + (-1313)\/(-101) - 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a7d (base 15) in base 10?\nAnswer: 5743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7362*n = -7335*n - 71496. Is n at most as big as 2649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1552*r + 1. Let l(w) = 1550*w + 1. What is -3*l(p) + 2*z(p)?\nAnswer: -1546*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-96)\/2544 + 16391646\/477.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 1\/3*n**3 - 41*n + 11\/2*n**2 + 0. Let a be d(-4). Solve 7*o - a*o + 12 = 4*h, 2*h + 3 = -o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 4, -5, -3 in ascending order.\nAnswer: -47, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 192506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07846 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eccceceeeccwcw. Give prob of sequence cwwc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(8\/((-16)\/6) + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/12 + (-2)\/4. Which is the nearest to 0.6? (a) s (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 3:09 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**2 + 18*b + 9. Let y(p) = -3*p**2 - 4*p - 2. Let h(t) = 2*o(t) + 9*y(t). Let u(i) = 2*i. Give u(h(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5353783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3462 - 2119 = -184*r - 1165 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*f + 2*w, 4*w = -23 + 7. Let g = f - 13. Suppose 7*o - g = 15. Solve -6*k + o = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let x(j) be the first derivative of -77*j**3\/3 + 15*j - 448. What is c(x(i))?\nAnswer: -154*i**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -23469718.7.\nAnswer: 23469717.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + 192\/(-28))\/((-2)\/(-7)). Suppose 4*u + d + 18 = 0, 0 = -4*u + v*d + 1 - 9. Is (802\/u)\/(4\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(70\/4))\/((-63)\/147)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 3*s**3 + 1 + 4048*s**2 - 4048*s**2.\nAnswer: 3*s**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7590 and 67551.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*u + 340*u + 113 - 1347*u + 332*u + 338*u.\nAnswer: u + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2878 + 2878 - b + 6*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7068*a - 102097 = -751*a + 179387 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-850)*(-2 - -1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 110111111001000 (base 2) to base 12\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 260*n + 2200.\nAnswer: 4*(n + 10)*(n + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 3*t**4\/8 + 5*t**3\/2 + 6*t**2 + 6*t + 9. Factor a(d).\nAnswer: 3*(d + 1)*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 5:02 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1850 or -4?\nAnswer: 1850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lueqqelelleleqq. Give prob of sequence ll.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002696883413 to seven decimal places.\nAnswer: -0.0002697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from zziizicttrz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*c, -4*l + 74744 = 4*c. Is (l\/12 + -1)\/(5\/30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1844801.2.\nAnswer: -184480.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720092061.\nAnswer: 3, 13, 41, 43, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/5 + 3086*c**2\/5 - 18578*c\/5 + 3098 = 0. Calculate c.\nAnswer: -1549, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71909066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 11:44 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 24.383\nAnswer: -21.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550363 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 3185*a**3 + 160113*a**2 - 874791*a + 1269270.\nAnswer: (a - 3134)*(a - 45)*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*m**2 + 1020*m - 4640.\nAnswer: 5*(m - 4)*(7*m + 232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-5) - 1810\/(-25). Let f = h - 34. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/13350 and -143\/1068.\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + 6 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10)*(-560)\/56)\/((-15)\/35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -28250?\nAnswer: -28250.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u - 38*u = 55*u - 660 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 654.1 + -812.1. Sort -1, -5, -3, 0.3, v.\nAnswer: v, -5, -3, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = g - 5*g. Suppose 3 + 5 = 2*y. What is the remainder when g is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1102\/2*(3 + -7 - -6). Calculate the highest common factor of y and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*d = 5*m + 13, m + 5*d = 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 141 - (-12 - -7) - -6. Let g = -147 + r. Solve x = -0*x + g*m - 6, -4*x = 2*m + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233987985 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(5)*2 + 0) - (sqrt(120)*1)\/sqrt(6))*-2)**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.56 in -0.1, 0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29650111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 45*i**2 + 39*i - 350. Let m be o(23). Solve m*w - 17*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 535 divided by -1.\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -0.2 (c) 1\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 64 = 3*y, 3*y - 4 = 4*x + 15. Let t = y + -8. Suppose 0 = t*j + p - 6, p = 2*j + 2*j - 12. Solve b = j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.229 + 2.9985. Round f to 2 dps.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 330522?\nAnswer: 330523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r - 3. Suppose -12 = -3*n - 9. Let u be c(n). Suppose u*i + 6 = 0, 0 = -4*k - 0*i - 3*i + 2. Solve 0 = -0*y - k*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*p = -862*p + 29*p - 16328 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -59 (b) -0.5 (c) -3\/2 (d) -34 (e) 23 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1095, -2202, -3309, -4416, -5523, -6630?\n\"Answer: -1107*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2689 divided by 38961?\nAnswer: -2689\/38961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 774.4407 kilometers in micrometers?\nAnswer: 774440700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151\/15 + -10. Is -1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 248\/11*t + 2\/11*t**3 - 192\/11 - 58\/11*t**2.\nAnswer: 2*(t - 24)*(t - 4)*(t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-21))\/((-4)\/(-18)). Suppose x*d - 2*d = -10. Round d to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 18*y**2 + 32*y + 2. Let q be x(16). What is the second derivative of -76*c**q + 38*c + 150*c**2 - 76*c**2 + 13*c**5 wrt c?\nAnswer: 260*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 28*y**2 + 73*y + 518. Calculate v(-26).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -17 - -8 - (21 + -40)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 3062153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14116771391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*a - 30 = 0, 0 = -10156*j + 10154*j - 3*a + 74 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (104 - 43) + (-27 - 8)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 0, -4*h + 3*h - 2 = -2*l. Which is the fourth smallest value? (a) l (b) -0.1 (c) -2\/23 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975650441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 40031.\nAnswer: 45\/40031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -14, -53, -108?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 8\/3*q**3 - 15 + 0*q**2 + 3*q**4 + 4\/5*q**5 + 0*q. Factor v(x).\nAnswer: 4*x**2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (127421 + 1150*z - 127421)*(1 - 3 + 3)*(-3*z**2 - z**2 + 5*z**2) as r*z**2 + u*z + i + q*z**3 and give q.\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2208 and 20?\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -4, -3, -2 in ascending order.\nAnswer: -4, -3, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n*q**3 - 31867*n*q**2*y**2 - 105*n*q*y**2 + 3*n - q**3 - 2*y**2 wrt q?\nAnswer: -6*n*q - 63734*n*y**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -131341\/3, 6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33900480 divided by -2880?\nAnswer: -11771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3262430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 336. Let q(u) = -3*u + 129. What is j(q(c))?\nAnswer: 6*c + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 1232*t**2 - 132*t + 1997. Let y(a) = -93*a + 5. Calculate -5*w(o) - 132*y(o).\nAnswer: -44*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -7. Let w be (-16)\/56 + (-928)\/(-14). Let k = w - r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 + 40176176*f + 40176180 = 0. What is f?\nAnswer: -1, 10044045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*z - g - 20, 0 = 5*z + 3*g - 25. Suppose 2*m - 27 = r, -2*r + 12 = -3*m + z*m. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4545 + 4*c - 44*c + 16*c + 18*c + 7*c in the form g*c + v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 9*j**2 - 8*j + 52. What is the remainder when t(-10) is divided by 65?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5\/2 - 264*y**4 + 33018*y**3 - 900501*y**2 + 7785279*y\/2 - 4443147 = 0. What is y?\nAnswer: -267, 2, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 + n**2 + 1. Let z be c(2). Let v be (-8 - -3)*(116\/2)\/(-2). What is the highest common factor of v and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -27*m + 77*m - 8820. Solve 16*r = 79*r - m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210090*x**3 + x - x - 210082*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20977 is divided by 104.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1402 + 2747\/2. Find the common denominator of ((-10)\/(-2))\/(2*-1) and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(3\/7)*m**(1\/8)*(((m**0\/m)\/m)\/m)**(-14))\/((m**2)**(-1\/3)*m*m*m*m**(-7)*m**(3\/5)\/m*m) assuming m is positive.\nAnswer: m**(39281\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and (-56)\/(-8) + 78 - 9.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101000 (base 2) to base 8.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 642*p - 49363. Determine v(81).\nAnswer: 2639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = -14. Let h(n) = -n**2 + 7*n. Let q be h(j). Solve 5*s + 4 + 6 = q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1700)*-1*-2 + sqrt(1700) + sqrt(1700) - (sqrt(1700) - (1 + sqrt(1700) + sqrt(1700)))*6)*-2 - -3*(sqrt(1700)*1*2 + sqrt(1700))*6)**2.\nAnswer: -8160*sqrt(17) + 1965343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11010874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3379 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345022473?\nAnswer: 3, 89, 1292219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 7:16 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-33) - 1\/(-3). Let g = -1553\/30 - 17\/30. Let r = -51 - g. What is the nearest to w in 4, r, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71267 by 7.\nAnswer: 10181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1776 + -1706. What is the highest common divisor of 1078 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 819 and 455?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 122 - (0 + -2). Suppose n = -2*d + 49, 2*n - 2*d - 2*d - z = 0. Suppose -i = 2*i + 4*w - 56, n = 5*i - w. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + -1.99. Let x = l + 1.9. Let m = -6.7 + 7. Is x at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1573, 3144, 4715, 6286, 7857?\nAnswer: 9428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23459 + 236 + 1519 = 1034*r + 16554 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 - 559892*v**2 + 19684218240*v - 6415646976144 = 0. Calculate v.\nAnswer: 329, 69822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700667.2 micrometers to nanometers.\nAnswer: 700667200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2970.874 litres?\nAnswer: 2970874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9473689982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.041 or -7\/5379?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 12761*d**6\/6 + 14*d**3\/3 - 167*d + 5045. Find the third derivative of p(x) wrt x.\nAnswer: 765660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xee when three letters picked without replacement from {n: 3, w: 2, y: 1, e: 4, x: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 8271.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k + 38*k - 57 + 58 to y + v*k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5614)\/(-56))\/((-2)\/8). Let v = j + 7621\/19. Is -3 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 + 5.31. Let z = -0.228 + v. What is z rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 16*o - 16896 + 2*o**3 - o**3 + 16902 - o**2. What is the hundreds digit of q(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sasshshhssshss.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1772 + -2326.\nAnswer: -4098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 6. Let y(c) = 2*c - 13. Let l(p) = -9*x(p) + 4*y(p). Let q(u) = u**2 + 2*u - 3. Determine -5*l(z) - 3*q(z).\nAnswer: -3*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/15*-4 + (-1576)\/12. Which is the nearest to 1? (a) 0.4 (b) -0.5 (c) -2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 19*y + 2 - 3 + 4 + 2 - 2. Suppose -4*z + 35 = 5*x + 7, -x = 5*z - 14. Is b(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1140)\/75)\/(((-210)\/75)\/(-7)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80) + (1*sqrt(20))\/sqrt(4) + 2 + 5)**2.\nAnswer: 70*sqrt(5) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2469 = -79*z - 178. Solve 4*f - 5*o = -28, 16 = 27*f - z*f + 3*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 211514040 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17013333 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -97. Let l be (-6)\/33 - (-72)\/m. Is 326*1\/l*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186650 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k**(-3)*k))))**(-2\/31) assuming k is positive.\nAnswer: k**(-6\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -4 (c) -3\/11 (d) -0.1 (e) -3195 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 3*t**3 + t**3 + (2 + 4 - 4)*(2*t**2 - t**3 - 2*t**2) - 24*t**3 - 1801 + 1801.\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.7. Let n = 458\/5 - 91. Sort n, s, 0.\nAnswer: 0, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - 1343333?\nAnswer: -1344020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85780 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 (2 + (1 - 0))*3818\/49800*25?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3003 and 1938482?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-10)*6)\/((-3)\/375). Let m = -63 + i. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*x - 242*x + 128*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)*g**2)\/(g*g*g**(1\/6)*g**7) assuming g is positive.\nAnswer: g**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.71189 minutes to milliseconds.\nAnswer: 1122713.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7857 + -3453. What are the prime factors of s?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98069941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 95473.3\nAnswer: 28641.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*505\/(-1020) + -5. Let j = 169\/714 - a. Factor 1\/7*u + 0 + 1\/7*u**3 - j*u**2.\nAnswer: u*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2703922 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 5*b**2 - 4*b**2)*(1 + 1 + 1) + 408*b**2 - 577*b**2 + 369*b**2.\nAnswer: 194*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 69 = -5*q, -34 = -3*k + q - 37 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*h - 13*h - 2*z + 8, -4*z - 68 = -8*h. What is the least common multiple of h and (1 - 1) + (-156)\/(-2)?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -1, -73721*k + 73726*k - 12 = -q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + u + 10 = -u, 4*m + 5*u = -12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, m: 3}. What is prob of picking 1 x and 1 m?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 109, -8, 0, 4, 2 in ascending order.\nAnswer: -8, -2, 0, 2, 4, 7, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8857\/578 - 14)\/((-6)\/(-3)*-1) and 61\/348.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 1 y when three letters picked without replacement from scynnyynnnv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 - 5165979*n + 8895779676147.\nAnswer: 3*(n - 3443986)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*p + 33900 = 12661 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 8*m - 9. Suppose 44*d = 40*d - 36. Let w be a(d). Suppose 6 = 3*k - 3. Solve 2*f = -5*b + k - 7, w = -2*b + 3*f + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 + 2010*k**2 + 4043*k - 1209. Let w be s(404). Determine g, given that 1\/6*g**5 + 1\/3*g**w + 0 - 4*g + 5\/6*g**4 - 10\/3*g**2 = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9718534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3193 and 11005?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 361\/3 + (11 + -6)\/(-15) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -11*j + 2052. Let h = j - 118. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/((-12)\/9) - (-85 + 1) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -276317.9 to the nearest 100.\nAnswer: -276300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.4 and 0.51473.\nAnswer: 14.91473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1303 - -8485. List the prime factors of c.\nAnswer: 2, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 339 = 2*m - 0*m, -2*v = -m + 152. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-9*(-168)\/189).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.5068 millimeters to nanometers.\nAnswer: 70506800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 269a6e6?\nAnswer: 269a6e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 0*a**2 + a**2 + 143273 - 3135*a**2 - 143273 + (2*a - 2 + 2)*(-a + a + 2*a) to r + k*a**2 + l*a and give k.\nAnswer: -3130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4)*(-a + a - 3*a) + 40*a - 18*a - 31*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 83*w**2 - 834*w + 61608. What is z(82)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, 16, 54, 108?\n\"Answer: 8*u**2 - 2*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, d: 6, y: 1, s: 1, g: 2}. Give prob of picking 2 r and 1 s.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14911 or 15\/2?\nAnswer: -14911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Let z(v) = -v - 18 - 3*v**l + 2*v**3 + 12. Calculate z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101346599 rounded to the nearest ten thousand?\nAnswer: 101350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = 981. Let o = -544 - u. Round o to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 11) in base 13?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 614738193248.4 - -0.097.\nAnswer: 614738193248.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -8 - (-5 - -1) - -40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:06 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n + 5. Let d(b) = -3*b + 2. What is -17*d(r) + 6*v(r)?\nAnswer: 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65637 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 32\/14 + (-1775)\/(-35) is divided by 0 + -1 + 19\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 8*v**2 - 3*v + 17. Determine s(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134 + (-43 - -176 - 382)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3 + 104*l**2 - 212*l**5 + 413*l**6 - 6 + 429*l**5 - 217*l**5 wrt l?\nAnswer: 49560*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(0 + 3\/14). Suppose -4*s = -46 + z. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417519567 to the power of 1\/2, to the nearest integer?\nAnswer: 20433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + g = 8, -3*g = 2*t - 0*g - 20. Suppose t - 16 = -4*p. Suppose 10 = r - 5*m, -p*r - 27 + 81 = -3*m. What is the lowest common multiple of 44 and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvv. Give prob of sequence vx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 187? (a) 0.718 (b) -1\/5 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-26)*(j*j**(-1\/5))\/j**(-2) assuming j is positive.\nAnswer: j**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by -1 - -6 - 713\/(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93299, -93221, -93107, -92969, -92819, -92669?\nAnswer: -92531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.83176 micrometers in kilometers?\nAnswer: 0.00000003783176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6819, -6727, -6637, -6549, -6463, -6379?\n\"Answer: -h**2 + 95*h - 6913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14748, -14747, -14746, -14745?\nAnswer: -14744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -28786\nAnswer: -5757.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5287103141 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 11. Let v be -8*(3 - p\/(-2)). Suppose -c + v = -8. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 31684*i**2\/7 - 356*i\/7 + 1\/7 = 0.\nAnswer: 1\/178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpp when three letters picked without replacement from {s: 2, b: 4, p: 7}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i**2 - 11*i + 46. Calculate the lowest common multiple of 12 and u(14).\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-109)\/(-4) + (-6)\/24. Let f be (3 + u\/(-15))\/(9\/30). Suppose 0*a - 3*a = 2*p - 25, -p - f = 0. What is the lowest common multiple of a and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l - 4. Let o(i) = -6*i - 3. Let a(z) = 3*k(z) - 4*o(z). Let x(p) = 97*p - 20*p - 32*p - 38*p - 36*p. Determine x(a(s)).\nAnswer: -87*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/120 + (-27)\/(-4) + -2. Solve 31 - 16 = -y*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/14 and 7\/4272.\nAnswer: 29904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -13*g**3 + 6*g**2 - 6. Let l(y) = -259*y**3 + 119*y**2 - 119. Calculate -6*l(f) + 119*x(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6*n + 675*b**5*n - 17*b**2 + 306*b*n wrt b.\nAnswer: -240*b**3*n + 40500*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -642 by 3.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 38 = y + 4*y, 5*y - 4*g = -47. Let o be (-3)\/(-1 - (-14)\/8). Let b = o - y. What is the highest common factor of 2 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 14409.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -37*f**2 + 7*f - 42. Let j be d(5). Let o = j - -1796. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3877, 3, -6 in ascending order.\nAnswer: -3877, -6, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -5886400 rounded to the nearest 100000?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 592 + 81*n**3 + 3395 - 259574*n**4 - n + 259579*n**4 with respect to n.\nAnswer: 20*n**3 + 243*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(95) - (2*sqrt(95) - sqrt(95)) - sqrt(95)))\/(3*sqrt(5)*-6) - ((sqrt(114)\/sqrt(96)*-5)**2*-3 + 4).\nAnswer: 5*sqrt(19)\/18 + 1361\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.06. Let y = -0.04 - m. Let k = 0.2 + -1.2. What is the nearest to y in k, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 4333736.\nAnswer: -866747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18119350*b*f**2 + 2*b + 10*f**2 + f + 480150 wrt f?\nAnswer: -36238700*b + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23188 - 23189.6589. Let c = w - -1.65. What is c rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 10:53 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1288 and -53\/280.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414154102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 292372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z + 2*f - 164, -93 = 3*z - 3*f. Let l = -22 - z. Solve -4*q = -8*q + l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.285 - -2.285. Which is the nearest to -61? (a) 2 (b) -1 (c) 0.1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -259, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5019 - 21*v**2 - 2490 + 3*v - 2507 - 3*v to the form a*v**2 + h*v + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 30. Let a = 11 - -59. Let j = a + y. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92193 times -0.08\nAnswer: -7375.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.361422l to millilitres.\nAnswer: 361.422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 21. Let m = 5 - g. Let o(n) be the third derivative of n**6\/120 + n**5\/20 + n**4\/24 + n**3\/6 - n**2. Calculate o(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294519.\nAnswer: 3, 19, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 970568180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50420, -50721, -51018, -51311, -51600?\n\"Answer: 2*r**2 - 307*r - 50115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, p: 9}. Give prob of sequence pp.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/12614791 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61983?\nAnswer: 3, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i*(((i*i*i\/(i**(-3)\/i)*i)\/i)\/i)\/i*i*i\/i**4*(i\/(i*i\/i**15))\/i**(1\/9) assuming i is positive.\nAnswer: i**(188\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 1 + 9. Let p = 4 + q. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**2 - 6*m. Let f(t) = -7*t**2 - 7*t. What is 3*f(o) - 4*z(o)?\nAnswer: 7*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1492 + 1508. Calculate the greatest common divisor of t and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {a: 14, p: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 6*c - 15270000. What is c rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1232 + 36*p - 36*p - 1038 - 12*p**2 to v*p**2 + q*p + k and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3237 + 130*c**6 + 252*c**2 + 1618 + 1619 - 5*c**6 wrt c.\nAnswer: 15000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from pbtwtgbtgt.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {w: 7, k: 9, s: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**2*p**3 + h**2*p**2 + 31*h**2*p + p**3 + 25*p wrt p.\nAnswer: 36*h**2*p + 2*h**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*-3*sqrt(70)*-4)\/((sqrt(420)\/(sqrt(7) - (sqrt(7) + 2*sqrt(7))))\/(sqrt(36)\/(sqrt(18)\/sqrt(3)))).\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.1+-2894409\nAnswer: -2894410.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, 2, 30251, 26.\nAnswer: -3, 2, 15, 26, 30251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 243 - 9. Does 13 divide 3*8\/36*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/16)\/(-25 - (-25414)\/1016).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j - 9 + 4 + 3*j. Let o be i(-5). What is the second derivative of -3*n**o + 2*n**5 + 0*n + n wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -9 + (-4 - -18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3095036, -3095421, -3095806, -3096191, -3096576?\nAnswer: -3096961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5754 and 8504686.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2460032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 + 90759*m**4 - 2906592*m**3 + 23258880*m**2.\nAnswer: 3*m**2*(m - 16)**2*(m + 30285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*f**2 + 4*f**2 - 23*f**3 + 146*f - 146*f wrt f.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 70 in increasing order.\nAnswer: 4, 7, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = 26*m + 36 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 969260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Suppose -5*o = -4*g + 27 + 5, g + l = -2*o. Let p(k) = -k - 3. Let a be p(-5). Sort g, a, 1 in increasing order.\nAnswer: 1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 353, 787, 1385, 2141, 3049, 4103?\nAnswer: 5297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187866 and 63585?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16863 = 2284*g - 754*g + 1967*g + 25101 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/73 - -3439\/584. What is the common denominator of 19\/16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 4.7 (c) -5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 880 + 879 - 2*h - 1774 + 2*h + 4 - 4 + (1 - 3 + 4)*(0*h - h - h) + 1 + h - 1.\nAnswer: -3*h - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397139 is divided by 28365?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 535.0466 - 535. Round p to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + t - 3. Let c(z) = 118*z**2 + 6*z - 228. Let g(j) = -c(j) + 6*l(j). Differentiate g(n) with respect to n.\nAnswer: -248*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025331 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 28*z**2 + 91*z + 73. Determine c(31).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**4 + 169*f**2 - 12*f - 986. Let v(r) = -6*r**4 + 168*r**2 - 14*r - 987. Let y(s) = 7*q(s) - 6*v(s). Find the first derivative of y(g) wrt g.\nAnswer: 4*g**3 + 350*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 8:37 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440261 is divided by 1797?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5970 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -28*q - 442. Let f be c(-16). Solve 3*p = -7*b + f*b + 10, -5*b = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189106 divided by -23.\nAnswer: -8222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 177536057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:24 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 + 11*a + 7. Let t be f(-8). Calculate the highest common factor of 329 and t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*t + 4 = 0, 0 = i - 3*t - 453 + 445 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 17*n - 26. Let v be r(6). Suppose 0 = -4*d + v - 0. Calculate the remainder when 33 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/21)\/1 + (-5665)\/7931.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -1 + -4 + 2 + -1 + sqrt(80))**2.\nAnswer: -64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 3*d**6\/40 - 2*d**5\/15 - d**4\/12 + 13*d**3\/6 + 10*d**2. Is c(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107.5037 and 0.265.\nAnswer: -107.2387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*t + 291*t + 17105 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39211357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*c**4 - 511*c**3 + 578*c**2 + 460*c + 72.\nAnswer: (c - 9)*(c - 2)*(7*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 at most -1313\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 5:31 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 6. Calculate p(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*w**3 - 492*w**3 + 1397*w**3 - 471*w**3.\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/3*p**5 + 108 - 88*p**3 + 36*p**2 + 16\/3*p**4 + 234*p = 0.\nAnswer: -6, -1, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0*r**2 + 12*r - 12*r - 5*r**2. Let j be n(-1). Let o be (1 + 0)\/((-3)\/5). Which is the third smallest value? (a) 3 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1699 and 2.\nAnswer: -3398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/((-2)\/3*23\/46). Let m = 194 - i. Sort m, 4, -1.\nAnswer: -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/7 - 18*j\/7 + 4 = 0. What is j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 2*q - q)*(q**2 + 5*q - 5*q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/2)\/(3\/9*-3))\/(-22)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324806.\nAnswer: 2, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 12:37 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1374\/517 + -48\/47. Let c = -3289\/4 - -832. What is the common denominator of s and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = -4*s, -5*s = -0*t + t + 16. Suppose 404 = t*p - 612. Suppose -2*i + p = -0*m + 4*m, 2*m = 5*i - 623. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b. Suppose 0 = -2*o + 4. Suppose -g + o = g. Determine s(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09905 + -0.1. Round w to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 4*h**2 + 7*h - 7. Let q be s(5). Suppose 0 = 2*p - 2*l - 6, -2*p + q*l - 8*l + 20 = 0. Calculate the highest common divisor of 65 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 5. Let a be i(5). Let m = 21 + 21. Let k = m - 45. Sort a, k, -1\/5.\nAnswer: k, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + j + 5. Let z be i(4). Suppose 106 = 7*t - z. Calculate the remainder when 41 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 12}. Give prob of picking 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 26.8. Let m = -69804 - -69801.20065. Let c = m + s. Round c to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-212)\/(-265)*90\/40*50\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10490000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 352931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-4)\/(4\/1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126766 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l - 3*l + 13*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 - 39946*g**3 - 2*g**2 - 2009*g - 1.\nAnswer: -60*g**2 - 239676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1031560 (base 7) to base 8\nAnswer: 365052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91240443, 91240451, 91240463, 91240479?\nAnswer: 91240499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 17.41. Let c = -0.09 + h. What is the smallest value in -5, 0, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*k + 417*k = -4235. Calculate the highest common divisor of k and 1485.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 2*b - 2, 0 = 1030*b - 1028*b + 1 - 1 - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -15726*x - 37. Is s(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -9. Let z(j) = j**2 - 5*j - 2. Does 2 divide z(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-14))\/((-536)\/(-469))*4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -32 - (-18 + -33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*f + 131*f - 35 = -4*t, -f = 5*t - 54 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7673 is divided by 4508.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 745752517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001365822 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116090 is divided by 2470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-9) + 46\/6. Suppose 5*f - 3 = b. Let h(o) = o**2 + 1. Give h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(8\/3)\/v))\/(v\/(v*v**(-1\/16)\/v)) assuming v is positive.\nAnswer: v**(-131\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 9252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64320386.0000037 - 64320400. Let p = l + 14. Round p to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 316*o - 368. Let y(l) = -6*l**2 - 951*l - 1098. Let r(v) = -17*d(v) + 6*y(v). Factor r(x).\nAnswer: -2*(x + 1)*(x + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3465\/4 - 291*b - 3\/4*b**2 = 0?\nAnswer: -385, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 402\/5 + -2764\/35. Let q = n + -27\/14. Sort -0.4, 2, q in ascending order.\nAnswer: q, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 1. Let p be q(-2). Let a = p - -9. Let h(y) = y**3 + 4*y**2 - 6*y + 7. What is the smallest common multiple of a and h(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18456 or 17087?\nAnswer: 17087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -1506?\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2833*q - 598*q - 602*q - 600*q - 1032*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*l + l - 15*l)*(-l**2 + 0*l**2 - 2*l**2) - 3 - l**3 + 3.\nAnswer: 116*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 30*p - 52. Let r be u(32). Suppose 0 = 42*s - 40*s - r. What is the smallest common multiple of s and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 152. Let m = -41 - d. Let a = m - 1. Solve -24 = a*v - 2*g, 3*v + 3*g - 16 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -953 divided by -6\nAnswer: 953\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**4 + 7*f**3 - 5*f**2 - 9*f - 3. Let j(z) = -3*z**4 - 5*z**3 + 6*z**2 + 10*z + 2. Let t(n) = -2*g(n) - 3*j(n). Solve t(r) = 0 for r.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3102 (base 5) to base 16\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2153, 9697, 22279, 39905, 62581?\nAnswer: 90313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 4. Let q(l) = -2*l**2 - 3. Let z(h) = -3*j(h) + 4*q(h). Let r(v) = -10*v - 6*v - 5*v - 5*v + 28*v. Calculate r(z(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5200985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -6.943. Let n = -1986 + 1986.043. Let z = v - n. Which is smaller: -23 or z?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -0.09, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 308965\nAnswer: 54\/308965","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6395, -12773, -19151?\nAnswer: -25529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2 - 2)*(30*o**3 - 30*o**3 + o**4).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b**3 - 14*b**2 - 14*b. Let j(f) = -3*f**3 - 5*f**2 - 5*f. Give 14*j(a) - 5*w(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 17*v = 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-6)*b)\/b)\/(b*b**(-5\/6)\/b*b)*(b**(2\/9))**6)\/((b*b**(-7))\/b**(-10\/7))**(-35) assuming b is positive.\nAnswer: b**(-983\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c + 88 = 0. Calculate the smallest common multiple of 14 and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*p - 30, 5*p + 4*z - 71 = 4. Suppose 0 = -u - 4*u + p. Suppose -y - 3*i = 3*y - 69, -u*y + 54 = 3*i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -13.555823493976.\nAnswer: -16.555823493976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + n**2 - n + 2. Let q = 6 + -8. Let p be y(q). Solve p = -4*r + 5*g - 12, 22 = r + 2*r + 4*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -69, -3, -35, -4, -5 in decreasing order.\nAnswer: -0.03, -3, -4, -5, -35, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*l - 7 = -3*p, 0 = -5*l - 4*p + 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2252 by -4.\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33806797 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.9, -0.1, 4.\nAnswer: -0.1, 4, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2694663 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.232892 milliseconds in minutes?\nAnswer: 0.0000205482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409974, -819992, -1230010?\nAnswer: -1640028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**9\/84 - m**7\/210 + m**5\/30 - 991*m**3\/6 + 954*m**2. Find the third derivative of g(f) wrt f.\nAnswer: -720*f**3 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 109 + 1\/3*j**3 + 0*j + 0*j**2. Let n(a) = -2*a**2 - 231. What is q(n(g))?\nAnswer: 4*g**4 + 924*g**2 + 53361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-734.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 + 61 + 438 + 282 = -173*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 6287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r. Let k(l) = 2*l**2 - 129 + 62 + 67. Determine k(z(m)).\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 + -141130321?\nAnswer: -141130414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 2:16 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 802555636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 27 - 15 = 0. Let h be 11\/((-55)\/a)*-20. Let r = -94 - h. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 3 (c) 5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4926 + 17*d - 6*d + 30*d + 4930.\nAnswer: 41*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2. Let n = 0 - -1. Let l be (2 - 6)*n\/(-2). Let d(a) = a**l + 2*a**2 - 2*a**2. Calculate d(x(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.240275892 to five dps.\nAnswer: -0.24028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25461*s**3 - 96*s**2 - 98*s**2 + 194*s**2.\nAnswer: 25461*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(0 - 1 - 1)*(3 - 5 + 4 + (2 - 8 + 2)*(0 - 3 + 1) + 2 - 2 - 1 + (-2 - 1 + 1)*(-6 + 2 + 2))*(-1 + b + 1).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/64 and (55 - 64) + 146\/16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**7\/840 - 7*l**6\/480 - 3*l**5\/40 - 5*l**4\/24 - l**3\/3 + 6*l**2. Find o, given that c(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9849501 - 137962045\/14. Let o = f - -4936. Calculate the common denominator of o and -131\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 40 + 2337*s - 2344*s + (-1 + 6 - 3)*(-2*s - 3*s + 3*s).\nAnswer: -11*s + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**3 - 4*d**2 + 4*d. Let w(l) = -4*l**3 - 3*l**2 + 5*l. Let s(v) = -3*n(v) + 4*w(v). Find the second derivative of s(x) wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 11. Suppose -f*u + 40 = -0*u. Suppose u*w - 12 = 17*w. What is the least common multiple of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -327150 + 327157. Let h = 23 + 2. Is u < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2 + 6*n - 1. Let k be c(6). Let j be 4 + -2 + -4 - k. Solve 0 = -3*g + j*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.424.\nAnswer: 0.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*((-135)\/18)\/5. What is the second derivative of 3 + 21*j**4 + 5 + 21 - 12*j**4 + v*j - 2*j**4 wrt j?\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 - 27*r**4\/2 + 117*r**3\/2 + 75*r**2\/2 - 63*r\/2 = 0. What is r?\nAnswer: -7, -1, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 9. Suppose 4*y = 2*k - 40, -2*k - 2*y + 1 = -15. Let c(x) = x**3 + 7*x + k*x**2 + 7 + x**2 - 6*x**2. What is c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184161011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5230 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*i*s**2 + i*s - 288*i + 472368*s**2 + 1458*s wrt s?\nAnswer: -54*i + 944736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.1 (c) 69 (d) -0.2 (e) 8.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s - s)*(3 - 2 - 2) + (-3 + 2 - 1)*(-3*s + 2*s + 3*s)*(0 - 5 + 4).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*w + 18*w + 22*w + 274 - 90*w + 26*w to b*w + j and give j.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**2*j**5 - 39*c**2*j**2 - 2084*c**2 + 2*c*j wrt j.\nAnswer: -120*c**2*j**3 - 78*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**7\/105 + t**6\/10 - t**5\/30 - 2*t**4 - 16*t**3\/3 + 65*t**2 + 2*t. Suppose v(c) = 0. Calculate c.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3294 and 18.\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 1. Let m be a(4). Let d be (m\/2)\/((-3)\/6). Suppose 5*i + 2*x + 29 = 0, 3*i + 0*x = 5*x - 5. Put 4, d, i in increasing order.\nAnswer: i, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 + -3 - 2) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 3*p. Differentiate -4 + 26*l**3 - l**4 - 26*l**3 + p*l**4 wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 + 6*p + 4. Let h be j(-1). Solve -2*z - 4 + h = 4*b, 3*z = -2*b - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 1:32 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 6*o**2 + 12*o + 10. Let l be q(-4). Let b = -10 - -4. Let n = b - l. Solve 0*t + 3*t + 6 = n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28984500 divided by 4294\nAnswer: -6750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmmjmvmjjvmmvjmvvjvm. What is prob of sequence vmjv?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/45)\/(24\/(-20)) - -3.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14368 - 919903.5.\nAnswer: -934271.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 247680979 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*f**3*i**2 + 4*f**3*w**2 - 5*i**2 + 3*w**2 wrt f?\nAnswer: 147*f**2*i**2 + 12*f**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1048 - 51. What are the prime factors of c?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189298949\/654 + -289448. Calculate the common denominator of o and -133\/18.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 15*y**2 - 9*y - 4. Does 59 divide m(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 - 9*j - 14. Let u(g) = g - 1. Let y(p) = -n(p) - 6*u(p). List the prime factors of y(-6).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 10:47 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/12 - 7*h**3\/6 - h**2\/2 + 5*h. Let f be c(6). Does 25 divide (2\/4)\/(f\/(-434))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005185 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21196.\nAnswer: 2, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -47, -25036, 6 in increasing order.\nAnswer: -25036, -47, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*b - 2*u, -3*b = -0*b + 5*u - 66. Calculate the remainder when 81 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**8\/112 - 37*y**6\/40 - 21*y**5\/5 + 3401*y**2. Determine f, given that u(f) = 0.\nAnswer: -4, -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(3\/4))\/r**(-16))\/(r**(1\/13)*r\/r**(20\/9)) assuming r is positive.\nAnswer: r**(9311\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.31513537 to four decimal places.\nAnswer: 0.3151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-46 - 3) - 26\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 32*f. Suppose 0 = 4*k + 5*w - 229, -k - 4*k + 285 = 5*w. Let i(v) = 159 - 12*v - 53 - 50 - k. What is p(i(g))?\nAnswer: -384*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8808 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:04 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 3)\/(6\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 7*j + 5*j. Suppose -m + 5 + j = 4*q, q + m + 1 = 0. Let t(s) = 9*s - 3. What is t(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-252)\/54*9\/(-6). Suppose -2*i = g*j - 11*j - 636, -1272 = -4*i + 3*j. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -54, -66, -94, -144?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 149 - 1468 = 4*y, -y = 2*s - 3252. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + -0.37. Let y = 538.9 - 564. Let f = 25 + y. Which is the nearest to f? (a) -5 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23458 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 730442*l - 18044137 wrt l.\nAnswer: 730442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 1 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = w + 2*w. Let b(z) = -8 - 7*z + 23*z**2 - w*z**2 - 4*z - 8*z**2. Let m be b(12). Solve 2*q - m*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.5. Let x = z + -0.7. Let t = -339 - -2370\/7. Which is the second biggest value? (a) -2\/7 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6368 is divided by 266?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from vxhvhhvhvqx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*1\/6*14. Let m(v) = -v**3 - 3*v**2 + 2. Does 33 divide m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by -6\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-1\/3)))**(-16\/3)\/(m**(-2\/9)*m)**(-11)*m**(-2\/5)*m**7*(m\/(m\/m**(2\/25)))\/(m\/(m\/(m*(m*m**5)\/m))) assuming m is positive.\nAnswer: m**(826\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1312*u**3 - 9993*u**3 + 3 - 3.\nAnswer: -8681*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 - 2*u - 1. Let k be l(3). Suppose -g - 26 = -k*g. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.28053 + -0.16147. What is j rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 17*n + 4. Let x be v(-17). Suppose -4*r + r + 14 = x*a, 0 = -5*r + 5*a. What is the least common multiple of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 47899313?\nAnswer: 1\/47899313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/3 - 8*c**3 + 4*c**2 + 616*c\/3 - 490.\nAnswer: 2*(c - 7)**2*(c - 3)*(c + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571553 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*i**4*p - 5*i**4 - 28*i**3*p + 2*i**3 - 3*i**2*p + 2*i*p + 2*p - 419 wrt i?\nAnswer: -408*i*p - 120*i - 168*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36 + -5)\/((-3)\/(-15)). What is the remainder when 148 is divided by p\/8 - 36\/96?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/15 and 1\/190?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*h**2 + 25795*h - 17190.\nAnswer: -5*(h - 1719)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/145, -3\/2, 5, 0.7, 0.0328 in increasing order.\nAnswer: -3\/2, 1\/145, 0.0328, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0 - -32?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, 4, -0.1, 1423?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57.949 + -58. Let v = 0.149 - i. Let x be ((-2)\/(-60))\/((-2)\/(-8)). Which is the third smallest value? (a) x (b) v (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - s - 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) - sqrt(84)\/(sqrt(12) - (-2*sqrt(12) + sqrt(12))))*1 - (sqrt(1200)*1)\/(sqrt(150)*2).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 57 in decreasing order.\nAnswer: 57, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + (-86 - -43) + 70 + -21.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 0. Suppose 4*n - 5*o = -12, w*n = -n + 5*o - 18. What is the third derivative of 8*p**5 - 14*p**5 + p**3 + 6*p**n - p**3 wrt p?\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53645 is divided by 593?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3537389, -7074780, -10612171, -14149562, -17686953?\nAnswer: -21224344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3 + 6*j - 7 + 4*j - 2*j + 0*j + (-7*j + 2*j + 3*j)*(-34 - 38 + 329) + j + 1 - 1 in the form l*j + p and give l.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.8386725 rounded to one decimal place?\nAnswer: -114.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1175 from 2568.\nAnswer: 3743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 44. Let p be 0 + (2 - n) - 0. Suppose p = -s + 4*s, 0 = -2*w - 4*s + 70. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 604.3 - 601.5. Put 4, k, -1 in increasing order.\nAnswer: -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + n**4 - 3*n**5 + (6 - 4 + 1)*(5*n**5 - 4*n**5 - 2*n**5).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 996, 1967, 2922, 3855, 4760, 5631, 6462?\nAnswer: 7247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from {j: 3, c: 10, k: 4, e: 2}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from hhgvh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/4, 0.041, -1\/4 in ascending order.\nAnswer: -0.3, -1\/4, 0.041, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-28))\/((-66)\/21). Which is the nearest to 5? (a) 3 (b) z (c) -25 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 98566 + 0?\nAnswer: 98566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.585926451 to 3 dps.\nAnswer: -0.586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + 1.95. Let o = -9.5 + 10.5. Which is the nearest to -1? (a) 5 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-372)\/(-3410)*2\/(8\/10)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 927 + -1695. Let s = 1262 + l. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(1 + 1 - 4)*(2*h + 0 + 0).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 21*w - 3. What are the prime factors of u(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3383120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140206?\nAnswer: 2, 11, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2087 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 6*h + 2. Let i be f(5). Is 698 + -2 - i - (1 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 20, 2, 0 in decreasing order.\nAnswer: 20, 2, 0, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 308700 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 27\/7. Suppose -23*a = -19*a - 36. Suppose a = -5*k - j + 6, 2*j + 6 = 0. Which is bigger: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d + 3 + 1\/12*d**4 - 1\/3*d**3 + d**2. Let b(y) be the second derivative of w(y). Differentiate b(j) with respect to j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 326, 338, 358, 386, 422?\n\"Answer: 4*y**2 + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7258697088 to 3 decimal places.\nAnswer: 1.726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 14*j**2 + 601*j - 6313. Determine z(11).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3567437*p = -3567441*p - 4*d + 60, 4*p - 2*d = 60 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 12:45 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 254*s - 257*s. What is the remainder when 49 is divided by 286\/11 - (s - 2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvsvvs. Give prob of picking 2 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 4 - 4)*(-3*o + 9*o + 127*o**2 - 132*o**2 - 3*o**3).\nAnswer: -3*o**5 - 5*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 + 2*x - 1. Let h be u(1). Suppose h*a = 5*a - 22. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i - 15. Let x be k(-5). Suppose -3*w + x*w = -w. Suppose w = 74*n - 75*n + 30. Calculate the highest common divisor of 40 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 4*a**2 + a - 5. Let p be d(-4). Let y be 4\/(-3)*p\/2. Let v = y + 12. Calculate the least common multiple of v and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from defebnnfv. What is prob of picking 1 n and 1 b?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13961 is divided by 2589.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4380, 8709, 13034, 17355, 21672, 25985?\nAnswer: 30294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g + 294 = -3*o, 2*g + 114 = -3*o. Calculate the common denominator of ((-10)\/g)\/(1\/68) and 27\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2313236*x - 2313224*x + 57 - 57.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 20.56 (b) -5 (c) -2\/11 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6375 and 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*n + 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 1118143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(1*2\/1990). Round l to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*g**4 - g**2 - 5*g + 4 - 24*g**4 + 7*g - g**3 to s*g + v*g**4 + y*g**2 + q + u*g**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.178 and 80.52427.\nAnswer: 80.70227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*12\/(-45)*(-40)\/16\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.38 + -0.38. Let h = z + -13. Suppose -4*l = 4*c + 4, -c = 2*c + 5*l + 9. What is the closest to 2 in h, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*y - 6. Suppose 5*a = 25, y - 45 = -2*h - 5*a. What is the remainder when 17 is divided by (-9)\/(-6)*1*h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3 + 5. Suppose -1 + 21 = g*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 3064*w**2 + 6315*w + 658. What is the first derivative of g(l) wrt l?\nAnswer: 6128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 9. Let h(j) be the first derivative of -4*j**3\/3 + 36. Give l(h(m)).\nAnswer: 8*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.283 - 1.383. Which is the fourth smallest value? (a) s (b) 0.4 (c) -4 (d) -3\/2 (e) -2\/51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*j + 8 = 0, -4*j - 2 = -2*q + 2. Let r = -21 + 21. Suppose r = -2*c + 8, -p - c = q*p - 172. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7602 divided by -105\nAnswer: 362\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2. Let c(s) = -98*s**2 - 100*s**2 - 101*s**2 + 296*s**2. Give c(r(t)).\nAnswer: -147*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4ac6 + 54?\nAnswer: -4a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-185 + 185 + 67*o)*(0 + 1 + 1) in the form u*o + k and give u.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 150 = g. Solve 5*q + 6*u + 20 = 2*u, 3*u + g = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**4\/3 + 1305*k**3 - 193295*k**2\/3 + 787095*k + 2558500\/3 = 0.\nAnswer: -1, 25, 28, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s - 381 = -115*s - 63*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3327 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4393 is divided by 176?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1897*j**2 + 0 - 1898*j**2 + 2 - 2. Let p(c) = -5 - 112*c + 8 - 3. Give p(r(q)).\nAnswer: 112*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 500 in increasing order.\nAnswer: 3, 4, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 4. Let p(o) = -2*o + o**2 + 5*o - o + 2 + 4. Let c be p(0). Suppose -c = 3*r - 6*r. Determine n(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 4*w + 16. Let h(x) = -5*x**2 - 16*x - 69. Let c(s) = 2*h(s) + 9*p(s). Suppose 2*a - 4*n = 10, 10 = 3*a - 4*n - 5. Give c(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8))**(-12)*(i**2*i)**(-3\/7) assuming i is positive.\nAnswer: i**(663\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -0*z - 50*z + 564 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6\/5))**2)**(-10\/3) assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 29. Let x be t(0). Find the first derivative of -s + x - 3*s - 3*s - 13 wrt s.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.99969 + 40. What is m rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**2 + 28*m**2 - 8*m**2 - 13*m**2. Let i(f) = 6*f - 2 + 2. Calculate i(n(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 + 2*v**2 - v**2 + 0*v + 0*v + (3*v - 3*v + 2*v**2)*(4 + 3 - 5) - 2*v**2 + 2*v**2 + v**2)*(6 - 2 + 0)*(35*v - 15*v + 54*v).\nAnswer: 1480*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**4 + o + 2*o**3 - o**4 + 1211920 - 1211924 to l*o**2 + r*o**3 + u*o + m*o**4 + c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14070171 to the nearest integer?\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4\/7, 0.\nAnswer: -18, -4\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/5 + 381035776*d\/5 - 36297065647980544\/5 = 0. Calculate d.\nAnswer: 190517888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 271 - 271. Solve 0*s + 6*s = -r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1026, -1705, -2394, -3099, -3826, -4581, -5370, -6199?\nAnswer: -7074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 + 140*c**2 + 620*c - 23. Calculate v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 4)*(-15)\/(-20). What is the common denominator of -8\/11 and l - (1 - 118\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 289*f**5 + 69*f wrt f.\nAnswer: 5780*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2058933\/44 - 46796. Find the common denominator of (0 + -2)\/(-6)*2 and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 1:10 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/2 and ((-2)\/(-16))\/(8\/(-464)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 238 and 659.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.1 (b) 1\/71836 (c) 5 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 4*v + 3*v - 2*v. Let y(i) = 10*i**2. What is o(y(g))?\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 14) in base 8?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-130))\/((9\/15)\/(-3))*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2612697*v**3 + 1719*v**2 + 642*v wrt v.\nAnswer: 15676182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 2*c - 4. Let r be f(-4). Let d(g) = -4*g + 5. Let y be d(r). Let a(k) = -k**2 - 13*k - 15. Is a(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158611964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57908 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 25*h - 23. Let a be j(-16). Let p = -53 + a. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:24 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 1029, 2212, 3753, 5586, 7645, 9864, 12177?\nAnswer: 14518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 22114*i**3 + 22177*i**3 - 90 + 219.\nAnswer: 63*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 15, 7*l - 4*l = w + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axqxpxe. Give prob of sequence xxp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(1\/2))\/(z*(z**(1\/3)*z)\/z))\/(z\/(z*z\/(z\/(z**(-2)\/z)))*z**5))\/((z*z\/(z*z**(-8)))\/(z*z*z*z**(-1\/2)*z*z))**(2\/57) assuming z is positive.\nAnswer: z**(-1025\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2aa29 - -25b?\nAnswer: -2a7ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5731 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1 + -2 + 6. Factor -8*m**3 + 6*m + 12*m**2 + 19*m**q - 3*m + 8*m**5 - 36*m**4 + 2*m**3.\nAnswer: 3*m*(m - 1)**2*(3*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oovoxeeoxmovvvvv. What is prob of picking 4 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4551700 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {d: 3, a: 3, b: 4, v: 3, l: 2, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*g + 114*g - 49*g + 711 + 81 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3130164475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -164, -386, -692, -1082, -1556, -2114?\n\"Answer: -42*s**2 - 96*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4296646*y**3 + 2 + 4296646*y**3 - y**4 + 7220*y to l*y**3 + p*y + u*y**4 + n*y**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 3*j**8\/28 - j**4\/2 + 3*j. Find the third derivative of d(c) wrt c.\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1141722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5388, 4771, -1852, -14481, -33116, -57757?\nAnswer: -88404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:10 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l**3 + 33*l**2 - 28*l - 133. Let u(q) = 5*q**3 - 14*q**2 + 14*q + 67. Let d(z) = -4*b(z) - 9*u(z). Give d(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -197 (b) -4 (c) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**2. Let x(u) = 6*u**2. Suppose -2*m = -m - 5. Let h(i) = i**3 - 8*i**2 + i - 4. Let q be h(8). Let w be q + 1*-2 - -2. Give m*x(d) + w*b(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/656738 and 53\/18860.\nAnswer: 151049740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = -8. Solve 0 = -b - l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233.424584881 - -153?\nAnswer: -1080.424584881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohb when three letters picked without replacement from {u: 1, o: 1, h: 2, b: 4, y: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 56 + 84. Suppose 0 = 4*q - 5*z - 154 + w, 32 = q + z. Find the second derivative of 16*n**4 + 17*n**4 - 25*n**4 + q*n wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -24 and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 0)*3 - (0 + sqrt(2))*2)**2 + sqrt(2) + ((sqrt(160) - sqrt(10))\/sqrt(5))**2 + sqrt(2)*-2 + -5.\nAnswer: -sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 5*q - 10. Let r be a(7). Let w = -4 + r. Find the third derivative of -h**2 + 0*h**6 + w*h**2 - h**6 wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 7*w + 12. Let f be r(-5). Solve -170*g - 28 + 87*g + 53*g - f*g**2 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2346684, 2346659, 2346634, 2346609, 2346584, 2346559?\n\"Answer: -25*m + 2346709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 415 - 415. Solve 4*w + k = -12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 306, -190, 1, -2 in decreasing order.\nAnswer: 306, 1, -2, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4 + 2 - 2*w + 4 + w**2 - 2*w. Let n be v(3). Are n and -3\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c15d (base 14) in base 11?\nAnswer: 22a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32\/848 + 7612\/(-16324)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/(-54) + 7610\/41094.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/((-8832)\/(-85712)) - (-2)\/23. Solve -223*d + 10 = -q*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 - 259. Which is the second smallest value? (a) -1.8 (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811776801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-18)*((-24684)\/(-616))\/(-187).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Suppose -o - q*o + 3*k = -42, 20 = 5*o + 5*k. Let s = o + -5. Solve 3*a - s*d + 16 = 5*a, 5*d = -a + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (-4 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfjfjfjjjjfjfjffffjj. What is prob of picking 4 j?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5832 bigger than -5828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 3*c + 3. Let r be f(2). Suppose 4 = -6*n + 5*n. Sort n, r, -3.\nAnswer: n, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*2*sqrt(19) + sqrt(19).\nAnswer: -11*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 272972 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*u**2 - 18*u + 100.\nAnswer: -2*(u - 2)*(8*u + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2939247 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001808448261 to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3 + 17916*h**2 + 412575*h + 394658 = 0?\nAnswer: -22, -1, 17939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-42) + (-2020)\/(-14). Suppose 0 = 4*o + z - 744. Suppose 4*k = 9*k - o. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*m**2 - 6*m**2 - 4*m + 4*m.\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7689 + 260?\nAnswer: 7929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 + 840160*m**4 - 5040868*m**3 + 10921816*m**2 - 10081648*m + 3360544 = 0 for m.\nAnswer: 1, 2, 210034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 17*l**2 - 70*l. Let y be n(7). Solve y = 21*u + 16 + 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5606824 divided by -5?\nAnswer: -5606824\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -12*h**2 + 14*h - 36. Let x(u) = 14*u**2 - 20*u + 35. Give 6*k(d) + 5*x(d).\nAnswer: -2*d**2 - 16*d - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 1 + 2*u - 5*u)*(-u**3 + 13*u**3 - 34*u**3).\nAnswer: 66*u**4 + 22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 63*s**2\/4 - 721*s - 3705.\nAnswer: (s - 95)*(s + 6)*(s + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 7. Let n(g) be the first derivative of 2\/3*g**3 + 6*g + 0*g**2 + 5. Give 3*a(o) - 4*n(o).\nAnswer: -2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219062376423 - 4671.\nAnswer: -219062381094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*g - 4, g + 0*c + 4 = 2*c. Suppose 4*f + 53 + 33 = 3*v, -2*f + g*v = 48. Let k = f + 30. 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 0.0000271396 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**6\/120 - g**5\/20 + g**4\/8 - 19*g**3\/3 + 14. Let z(t) be the third derivative of b(t). Factor z(h).\nAnswer: 3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 + 17*h. Let x(r) = -r**3 - 3*r. Suppose -2*i - 3*i = 5, -5*i = -3*g + 23. Give g*o(l) + 34*x(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195 by -39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 3545074.\nAnswer: 3545074.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 337 + -198. What are the prime factors of l?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000*v + 942*v = 0. Solve 2*c - z + 6 = 8, v = -3*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 3*y**2 + 2*y + 1. Let q be f(2). Sort -1, 5, q.\nAnswer: -1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127314*c**3*i**3 - 8*c*i**3 - 20*c*i**2 - 6*c - 9*i wrt c?\nAnswer: 763884*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 602 = 599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q + 38. Let u be a(9). Let k be -88*((-4)\/u - (-12)\/(-16)). What is the remainder when (-8)\/(-20) + (-36)\/(-40)*k is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-495)\/(-9) + 114162\/(-2067)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkooiooooikoo. What is prob of sequence kio?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2836 divided by -2?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71882, -71833, -71784, -71735?\nAnswer: -71686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 - 1459 = -132*l + 1026 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23286, 23268, 23254, 23244, 23238?\nAnswer: 23236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6146683*m**3 - 20775801*m**2 wrt m.\nAnswer: -36880098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 8629, 5, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 13*b**2 - 19*b - 66. Let h be t(-14). Suppose 3*y = 6*y - 18. Factor -8*s**4 + s**2 + 13*s**4 - y*s**h.\nAnswer: -s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -47, 3, 35 in decreasing order.\nAnswer: 35, 3, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*b**4\/7 - 41180*b**3 - 7772776*b**2\/7 - 355300*b + 230376\/7 = 0 for b.\nAnswer: -331, -29, -2\/5, 3\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuhuhuhhuunu.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*c + 43, 5*p + 24*c = 264 - 280 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = 4, -b = 2*d + 7. Let q be ((-4)\/(-6)*b)\/((-1)\/3). Solve q*w = -w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + f**3 + 26*f**3.\nAnswer: 33*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 29. Determine o(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963.032 rounded to the nearest integer?\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 125831 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 10:25 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 98, 381, 844, 1481, 2286, 3253, 4376, 5649?\n\"Answer: -q**3 + 96*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -25 - (0 + 4 + (-28 - -13) + 4)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 51.22 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3341 and 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(3 - 2 + 1)*(3 - 5 + 1)*(-18 - 7 + 1)*(-v - 3*v + 3*v).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1609 + 911. Calculate the highest common divisor of c and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiuufqiigfuuiui. What is prob of sequence qig?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 53.85 * -0.052\nAnswer: -2.8002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-40) + ((-16)\/64)\/(10\/8). Solve i = -3*t + 2*u + 4, -22 = 11*t - 10*t + 4*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 11*k**2 - 76768 - 76787 + 153555 + 2*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t - 11*t + 29920 = 0. Calculate the highest common factor of 121 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12730, -12607, -12406, -12127, -11770, -11335?\nAnswer: -10822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b + 18*b**2 + 36*b**2 + 35*b**2 - 72*b**2 + 20*b**2 to the form w*b + v*b**2 + t and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14020, -14020, -14018, -14014, -14008?\n\"Answer: b**2 - 3*b - 14018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 67. Let n be i(0). Let c = 6115\/7 + -877. Calculate the common denominator of c and -1 + n\/(-2)*(-3)\/15.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = -80. Let q = 31 - r. Calculate the smallest common multiple of 1 + q\/2*10 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*m*v**5 + m*v**3 - 3*m*v - 11*m - 94*v**2 + 4*v - 24 wrt v?\nAnswer: 380*m*v**3 + 6*m*v - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 39*p**3 + 101*p**3 + 52 with respect to p.\nAnswer: 186*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 + -0.37. What is the nearest to 0.7 in 3\/5, 1\/4, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 11*j**5\/20 - 5*j**4\/24 - 2*j**3 - j**2. Let x be v(8). Let y = x - 1431. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 5*s**2 + 1. List the prime factors of g(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -761 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 15. Let h be q(13). Suppose 0 = -2*z - 5*f - 25, 0 = 9*z - 6*z - f - 5. Find the first derivative of -19*g + 0*g - h + z*g wrt g.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - d**4 + d**2 + 5 - 11 + 2 - 9 - 3*d**2 to m*d**2 + i + l*d + h*d**3 + g*d**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 4*x**5\/5 - 6*x**4 + 52*x**3\/3 - 24*x**2 + 16*x + 563. Factor l(z).\nAnswer: 4*(z - 2)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -112, -224, -336, -448, -560?\n\"Answer: -112*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 150 = 6*r. Suppose 0 = 2*n - 7*n + r. Let c(f) = f**2 - 2*f - 1. Let z be c(3). Calculate the highest common factor of n and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 14*h + 9. Let p be k(-14). Let y(n) = n**2 - 10*n + 12. Let j be y(p). Suppose -j + 1 = -c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 2. Let z = 36 - 23. Suppose -15*d + 82 = -z*d. Calculate the remainder when d is divided by m(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11152534 + 2?\nAnswer: 11152536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 175.\nAnswer: -174.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*m**2 + 10*m - 51*m**3 - 76*m**2 + 96*m**3.\nAnswer: 5*m*(m - 1)*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 953063*o**3 - 419918*o - 2?\nAnswer: 5718378*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 + 4*c**4 - c**3 - 6*c**2.\nAnswer: -c**2*(c - 3)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 33*v - 135. Let o be a(-28). Solve 3*g + y + 11 = 2*y, -3*g = o*y + 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -4*r + 4*c - 52, -5*c - 25 = 0. Let k be -3 - (-1 + r)*1. Suppose -k*j - 190 = -16*j. What is the greatest common divisor of j and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0534? (a) 1\/9 (b) -0.5 (c) -13 (d) -4 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 45. Let i be f(11). Is 35 a factor of (75\/60)\/((-1)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/39, -0.5, 0.2, -15, -5, -0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1249 - -1392. What is the remainder when h is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8367 = m + 2*j + 8380, -2*j + 0*j = 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18183, -18246, -18309, -18372?\nAnswer: -18435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -742 - -741.942. Let k = -1859307 + 1859307.05800022. Let i = k + z. What is i rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -37, 0.5, -40?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -13*w + 61. Give k(-4).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -21.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -10.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 29*i**2 - 15*i**2 - 4*i + 5*i**2.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i = -34*i + 16. Let r(g) = -g**2 + 21*g + 19. List the prime factors of r(i).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.44 - -0.54. Let j = 9 + -11. Let z = -0.3 + 0.4. Which is the closest to z? (a) j (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45\/2*d + 1\/2*d**2 + 148 = 0. Calculate d.\nAnswer: -37, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 17*k**2 + 24*k + 6. Let p be j(7). Suppose -24*r - b - 121 = -p*r, 2*b + 32 = r. Calculate the remainder when 53 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*b - 103196, -348*b = -353*b + 30. List the prime factors of n.\nAnswer: 2, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c - 2. Let l be n(-4). Let m = l + 48. Let t(z) = z**3 - 6*z**2 + 2. Let u be t(m). Solve -8 = 2*w, f + 5 - 1 = -u*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89 - 98 - 1959*i + 106 - 96 in the form t*i + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.033 and -15.\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*a + 1588 - 133 = 228*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -239\/140 + 17\/20. Which is the second biggest value? (a) 288 (b) -5 (c) -2\/7 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c + 0 - c**2 + 1\/30*c**5 + 0*c**4 + 0*c**3. What is the units digit of i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let f be (1\/(-12))\/(((-16)\/36)\/4). Let q = -112.9 + 113.4. Which is the closest to d? (a) q (b) f (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - b**3 + b**3 + (2*b + 0*b - b)*(b**2 + 0 + 0) + (-445 + 254 + 217)*(0 + 0 + 2*b)*(-2*b**2 - b + b) as m*b**3 + s*b + a + o*b**2 and give m.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 19*t - 294 = 20*t, -28 = -4*t. Which is the third biggest value? (a) -2 (b) o (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.057 - -3.943. Let u = -3 - -2. Let c = u - 3. Sort c, -2, i in decreasing order.\nAnswer: i, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-634\nAnswer: -633.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 12*h - 357199 - 1873113, 2*m = -3*h + 4460603. What is m rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -765, -3144, -7119, -12696, -19881?\n\"Answer: -y**3 - 792*y**2 + 4*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.51 + -0.01. Let p = -197 + 191.14. Let o = p - -0.86. What is the biggest value in 0.2, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t + 3 + 8*t - 3 to the form p + i*t and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -47.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(648))*-6*3 - 3*(4 + -1*sqrt(648))) + 1)**2*4.\nAnswer: 23760*sqrt(2) + 583684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*2*-3.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:42 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109992 divided by 36664.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 71743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25 + a74a57?\nAnswer: a74a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -335, -489, -627, -743?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -928 = 25*g + 22. Put 2, 0, -3, g in descending order.\nAnswer: 2, 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 2, 187, 17\/4, -42, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -37*t - 4. Let n(z) = -25*z - 3. Let k(p) = -5*i(p) + 7*n(p). Determine k(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 9 - 76 = -3*g, 127 = 4*s - 17*g. Solve -s*t + 22*t - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*i - 13 + 31, 0 = -f - 3*i - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q + 10. Let g be b(12). Let x = g - -61. Let w be (x*24\/42)\/(20\/(-14)). Which is bigger: 1\/27 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4096 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587225 is divided by 75.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 118*v**2 - 4*v - 4. Let j(b) = -16165*b**2 + 549*b + 549. Calculate -4*j(w) - 549*t(w).\nAnswer: -122*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 3 - 3*p - 4 + (2*p + 2*p - 2*p)*(-3 - 2 + 3) as i + m*p and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -5. Let d = r - 0. What is the closest to d in -1, 0, -5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -304486 or -304488?\nAnswer: -304486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678035.\nAnswer: 5, 135607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 111111 (base 2) to base 5\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 295650*j**2 - 1057191 with respect to j.\nAnswer: 591300*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d + 84. Let u = -214 + 199. Let z = u + d. What is the highest common factor of 4 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18*(-1 - 0)*54\/12. Which is bigger: -79 or a?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.4187l in millilitres?\nAnswer: 211418.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qajssaqou. What is prob of picking 2 s and 2 q?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45500110*m - 31355552?\nAnswer: -45500110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/100)\/((-14)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11a291a (base 13) to base 16\nAnswer: -53c3f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 1 + 5 - 3)*(-11 + 12 - 46)*(0*i**3 + 0*i**3 - 2*i**3).\nAnswer: 270*i**4 + 90*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*x = x + 5, -x = k + 9. Let d = 308 + -182. Let f = -135 + d. Are f and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 + 2*j**4 - 2*j**4 + (-j**4 + j**2 - j**2)*(-j - j + 4*j) - j**5 + j**5 - j**5 - j**5 + 4*j**3 - 4*j**3 + 2*j**5 + 34*j**3 - 35*j**3 + 0*j**3 - j.\nAnswer: -j**5 - j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/43 (c) -0.2 (d) 4 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24570286 and -3.9.\nAnswer: 24570282.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 232 = 3*f, -2*f - 2*f + 312 = -4*y. Suppose 0 = -l + 7*l - 366. Let d = l - 35. What is the remainder when f is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969927907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 2\/3 (c) -0.1 (d) 4 (e) -16\/9 (f) 0.08 (g) -219\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, 0, -0.1, -4.\nAnswer: -11, -4, -0.1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141352501 is divided by 1229152.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-99*s - 30*s - 472*s)*(7 - 1 - 10).\nAnswer: 4808*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47, -45, -55, -83, -135, -217?\n\"Answer: -p**3 + 9*p - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 60. Let u(x) = -x + 22. Calculate the least common multiple of u(0) and d(-12).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-45)*-3*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4531020 and 148?\nAnswer: 4531020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-16)\/(-180))\/(12\/(-10))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) -0.74 (c) -6.085 (d) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + -1.99. What is the nearest to -1 in -0.2, -7, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let j(s) = -3*s**2 - s**2 + s + 3*s**2 - y + 20*s**3. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + 1 + (0 - (-1 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 428, 493, 614, 809, 1096?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91284 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*h - 2*n, 0 = 3*h - n + 1129 - 1143 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 135*z**2 - z. Let y(d) = 853*d**2 - d - 2179. Let q(b) = 5*v(b) - y(b). Find the first derivative of q(n) wrt n.\nAnswer: -356*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/504 and -29\/27.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g + 16. Let p be b(-3). Let x(l) = 3*l. Let u be x(1). Suppose 0 = 4*z + 20, w + 3*z = -0*w - 17. Sort u, w, p in descending order.\nAnswer: u, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18432 + -18438. Let y(u) = 2*u + 3*u**2 + u**2 + 3*u**2 + u**3 - 2. Determine y(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (246\/(-9) - -2). Suppose -4*l + 12 = 0, 4*y - 8*y + q = 2*l. Solve 0*c = -b - 2*c, -5*b + 10 = y*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h - h + 144. Calculate the greatest common factor of 60 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761852193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 159 = -589. Let d = 405 - g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 60. Factor 0 + t*d + 2\/3*d**4 - 2\/3*d**5 + 2\/3*d**3 - 2\/3*d**2.\nAnswer: -2*d**2*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - 0.5. Let d = p + 5. Which is the third smallest value? (a) -3 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {e: 6, j: 3, o: 4, u: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 - 4.08. Let w = 8983.8 - 8984. Let v = 8 - 5. Sort v, w, c in ascending order.\nAnswer: c, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from yrfrffyrrfryrrfyry.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 6. Let c be l(-2). Sort -4, -3, c in ascending order.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -5*p**4\/12 + 6*p. Let r(n) = -3*n + 4*n - 5*n + 5*n. Give b(r(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 6. Suppose 4*w + 2 = 2*i, -w = w + 3*i - 19. Let v be 0 + (1 - (w + -3)). Suppose 5*z - 3*l - 15 = 0, -2*l = -v*z - l + 7. Give x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 3. Suppose -3*k = -5*k + 5*b - 29, 4*b = -5*k - 23. Let w(h) = -4*h**2 - 5. Give k*n(d) - 4*w(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 2 = -15*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154382686.9999713 + 154382597. Let h = -90 - a. What is h rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*c**4 + 349*c**3*h + 1010*c**2*h + 3*c**2 + 19 wrt c?\nAnswer: -1512*c + 2094*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(192)*2 + (-1*sqrt(192) + sqrt(192))**2*-4.\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.26 - 0.04. Let g = 2.147 + -0.047. Let h = z + g. Which is the second biggest value? (a) h (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 39*g = 14. Let i = 87.3 + -87. Which is bigger: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 7*k**2 + 23*k + 3. Give w(9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 16 = 2*g - 6*d, -2*d + 6 = 0. Let p(m) = m**3 + 2*m**2 - 6*m - 8. Let n be p(g). Solve -i + n = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppu when four letters picked without replacement from {p: 3, u: 11, j: 1}.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1676952 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-30) + 2\/3 - (-4)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16556.\nAnswer: 2, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12741*s + 1 = -12740*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -16*f**2 - f + 6. Let k(h) = -3*h**2 + 1. Let r(v) = -v + 8. Let g = 13 - 7. Let j be r(g). Suppose -221*b = 467*b + 7568. What is b*k(n) + j*p(n)?\nAnswer: n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13158)\/1122 - 32\/(-44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u**2 - u**2 - u**2)*(u - 6*u**2 - u) + 5*u + 2*u**4 - 5*u)*(-2*u + 0*u + 4*u).\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 63. Suppose -o*w + 24 = -w. Suppose q = -w*q + 1116. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0178437 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 339327*u - 3 + 7*u**2 - 339329*u.\nAnswer: 7*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-2\/17))\/k**(2\/9))**(15\/7))**(-20))**(-8\/5) assuming k is positive.\nAnswer: k**(16160\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -f23f30?\nAnswer: f23f3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 81 + 1\/6*w**7 + 4\/3*w**4 + 0*w**5 + 11\/2*w**2 - w + 0*w**6 - 1\/6*w**3. What is the second derivative of q(p) wrt p?\nAnswer: 140*p**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + 3*w = -6, 3*c - 2*w = 3. Suppose 18 = c*o - 24. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*z - 0*z, 15 = 5*g - 5*z. Suppose 4*c - 5625 = -k, 3*c + 7*k = g*k + 4223. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -95. Suppose -2*r - 95 = 3*r. Let y = r + k. Solve -j = 4*j + y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/9, -149, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -63. Calculate the lowest common multiple of f and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 - 2.35. Let x = -0.45 + t. Let a = 13\/6 + -5\/3. Sort a, 1\/5, x.\nAnswer: x, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4596 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**2 - 2*j + 9. Let y(l) = -11*l**2 - 2*l + 10. Suppose 2*s - 3*s = 5. Let p(x) = s*r(x) + 4*y(x). Does 11 divide p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**2 + 5*i + 10. Let f(r) = 4*r**2 + 3*r + 6. Let j(v) = -10*f(v) + 6*p(v). Let d(o) = -116*o. Give j(d(g)).\nAnswer: 26912*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768747119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 + -0.5. Which is the closest to -1? (a) -1 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1021, -2059, -3123, -4201, -5281, -6351, -7399?\nAnswer: -8413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 0*h - 4*h - h**3 + 5*h**3 - 3*h**3 + h**3 + (6*h - 2*h - 2*h)*(-h**2 + 30*h**2 + 9*h**2) as l*h**2 + u*h + v + c*h**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10125\/90)\/(-45)*12\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2 and 58\/59677803.\nAnswer: 119355606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/12)\/((-2)\/(-8) - 0). Suppose -4*c = i - 13. Suppose 4*z - 5*z = -c. Solve -4*f - 4*x = -z*f - 10, 20 = 4*f - 3*x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.898 * 23.\nAnswer: 135.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 4*j - 5*w - 31, 30 = -5*j - 4*w. Put j, -4, 0 in ascending order.\nAnswer: -4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -2. Let h = -3 - d. Let f = 2.3 + -2.3. Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/91 - 4\/(-26)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858122 is divided by 1937.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10223537 to the power of 1\/2, to the nearest integer?\nAnswer: 3197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2646 + 28258 = 4*l, -5*l + 32006 = -y. Suppose -12*u + l + 3798 = 0. List the prime factors of u.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:50 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 137. Let m be d(0). Let o = 219 - m. What is the remainder when o is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 316.8 and 0.4?\nAnswer: 316.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -412 + 431. Which is the second biggest value? (a) 0.4 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.16416 - -1.25425. Let o = c - -0.905. Round o to 4 dps.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -480*t + 11. Let o be 68\/6*(-2 - 114\/(-12)). Let j = o - 92. Is y(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - j + 5. Let r = 398 - 395. Let f(u) = -u**2 - 2. Give r*x(z) + 8*f(z).\nAnswer: z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 107 - -64 - 21?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.5, 0.2, -789?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8926 - 8928. Which is the closest to j? (a) 2\/5 (b) 12 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/63 and 59\/39?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2765 - 1856. Suppose l + 185 = v, 9*v + 3*l - o = 4*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 3. Let s(d) = -6*d + 7. Let o(u) = 7*p(u) + 4*s(u). Let t(r) = -2*r + 29 + 4*r + 22 - 80 + 23. Give 6*o(g) + 7*t(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 18*v - 46. Give o(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*j + 31583*a + 336*j**4 wrt j?\nAnswer: 2*a + 1344*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 + -82. Let c = 40 + -39. Is c at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 4*x - 5*x)*(39 + 14*x - 39)*(-14*x - 5*x - 2*x)*(2 - 5 + 1)*((0 + 2 - 1)*(-2 - 1 + 11) - 3 + 2 + 0).\nAnswer: 4116*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:58 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/673881423 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g**2 - 162*g + 637. What is w(4)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - sqrt(128)) + (-5*(sqrt(2) + sqrt(2)*2) - sqrt(2)).\nAnswer: -22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -4*z + 1800. Let f be z\/432 + 6\/9. Let v be (6\/20)\/3*-4. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -542, -500, -458?\n\"Answer: 42*f - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-10))\/((-6)\/(-75)). Let u = t + -10. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 4:33 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i\/(i**(-2\/5)*i)*i*(i\/(i\/i**(-2\/3)))**(-20))\/((i**(-1))**(-8\/3)*((i\/(i*i*i**(-1\/2)))\/i*i)**1) assuming i is positive.\nAnswer: i**(377\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + q**2 - 2*q. Let h(o) = -6*o**3 - 19*o**2 + 22*o - 49. Let v(t) = -h(t) - 5*s(t). Is v(-13) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/sqrt(45))\/sqrt(7) + ((-2*sqrt(10))\/sqrt(2) - 1*sqrt(245))**2.\nAnswer: sqrt(5)\/3 + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u + 29*u - 114*u + 51*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - 72\/(-48). Suppose -24*z**y - 10*z - 5*z**5 - 25*z**4 - 50*z**3 + 5*z**3 - 11*z**2 = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945758651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.3 + 48.632. Let t = -0.332 + c. Let s = -1 - -5. Put s, -1\/7, 4\/5, t in ascending order.\nAnswer: t, -1\/7, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1418 - -1746316970.\nAnswer: 1746318388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2050.7786 rounded to 0 dps?\nAnswer: -2051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 82.91877 kilograms?\nAnswer: 82918770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -421*s**2 + 2520*s + 34. What is w(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2463\/6568*((-140)\/465)\/(-7)\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 5\/2, 4, 29803?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -687 - -2?\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w - 3*w - 23*w)*(13*w**2 - w**2 - 8*w**2) + (0*w + 0*w + 2*w)*(-2*w**2 - w**2 + w**2).\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 0.24 (b) 235\/14 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-30)\/4)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**23)\/n**26)**1 assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3*2*12\/108\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, d: 5, l: 7, k: 2}. Give prob of picking 1 k and 1 l.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q**6 + 15*q**2 + 0*q**3 + 0*q**5 - 1\/21*q**7 - 1\/24*q**4 + 0*q + 0. What is the second derivative of o(z) wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4674501 (base 12) in base 2?\nAnswer: 110011110101110011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 - h**4 - 479 + 480 - h**4 to u*h**2 + a + p*h + k*h**4 + y*h**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 65*h + 425, 95 = -4*g + 702*h - 705*h for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((26250\/56)\/75)\/((-10)\/48)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100185670 and 3211.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 + 10*z**2 + 19*z**2)*(4*z**2 - 2*z**2 - z**2)*(-7 + 3 - 2).\nAnswer: -132*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 1366162.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -20 - 2\/1*3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-18))\/((-2)\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h - 2. Let z be q(2). Let j = z + -17. Let v = 37 + j. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 1\/40*o**6 + 19*o**2 + 0*o**4 + 0 + 0*o + 1\/42*o**7 + 1\/60*o**5 - 1\/2*o**3. What is the third derivative of b(h) wrt h?\nAnswer: 120*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.009 - -12. What is p rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, 4, -121 in decreasing order.\nAnswer: 4, -121, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-25))\/((-56)\/(-42))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) + 3*sqrt(150)).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 13*h = -21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (6 - (8 - 3) - (-18 - -24))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 3*k - k - 47*k**3.\nAnswer: -47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 375*j**3\/2 - 14475*j**2 - 23520*j - 9456 = 0. What is j?\nAnswer: -4\/5, 394\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*l + 150 = 0, -13*n = -8*n + 5*l - 400. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -35*m - 2 - 3*m**3 - 3*m**2 + 33*m + m**2. Suppose 5*i = i + k - 35, 2*i + 15 = k. Let c(g) = -7*g**3 - 5*g**2 - 5*g - 5. Determine i*j(u) + 4*c(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -3*q**5\/25 + 27*q**4\/20 - 6*q**3\/5 - 24*q**2\/5 - 86. Let d(t) = 0. What is t?\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 17703\nAnswer: 2\/17703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2379*o**3 + 1457 wrt o.\nAnswer: -7137*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 8*h - 2. Let a be l(-7). Suppose 2 = -a*g + 12. Suppose -g*n + 6 = n. What is the greatest common factor of 18 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22703*d*i**4 - 5400*d + 2*i**5 + 5*i**2 wrt i.\nAnswer: -544872*d*i + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**8\/1176 + l**7\/21 - 13*l**6\/35 + 11*l**2 - l - 28. Determine y so that a(y) = 0.\nAnswer: -39, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.109334 and -77.\nAnswer: -75.890666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*l + z + z, -3 = -2*l - z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 301. Let h(z) = -10*z + 905. Calculate 2*h(c) + 7*o(c).\nAnswer: c - 297","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*t + 2, 0 = -7*f + 3*f + t + 6. Solve f*k + 1 = -2*j - 7, -k = -3*j - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + w + 111. Let u = -20 + w. Suppose -d - 4*r = -u - 18, -73 = -3*d - 4*r. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -1.9 (c) -70032711\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51190957983 take away 0?\nAnswer: -51190957983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l = -26. Let c be 3\/6*(25 - 1). Suppose 0 = 3*s + 3*q - 21, -4*s + 0*q + c = -4*q. What is the remainder when l is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 28, -5, 1, -1422.\nAnswer: -1422, -5, 1, 11, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 573 + -1?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m. Let h(d) = -26*d. Let r(u) = 5*h(u) - 14*y(u). Let b(i) be the second derivative of 5*i**3\/6 - 859*i. Calculate r(b(z)).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 224 or 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 89*k**2 + 283*k + 159. What is x(41)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -291869039 divided by -3790507\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -10*h - 129, 18 = 10*c - 106*h + 102*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 3:53 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 68807030*c - 236720368871045.\nAnswer: -5*(c - 6880703)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 795*l + 792*l + 156 = 0, -177 + 480 = 6*w - 3*l for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-80)\/198 - (-10)\/45. Let s = 3 + -3.01. Let q = s + 4.01. Which is the closest to 1? (a) p (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.94 + -0.06. Suppose 0 = -r - 5*k + 20, 4*r - 1 - 11 = -3*k. Which is the closest to 1\/2? (a) 3 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 - (423\/(-5) - -2). Suppose 89 + 304 = -5*f + 2*k, -4*k - t = f. Let z = -34 - f. Calculate the least common multiple of 2 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 989, 1619, 2249, 2879?\n\"Answer: 630*h + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25363 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:23 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421 a factor of 33340496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -54. Let q = -24 + v. Let t(z) = 7 + 5*z**2 - 2 - 4*z**2 - 6*z + z. Give t(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 0 - 1\/3*a**3 + 1\/120*a**6 - 52*a**2 + 0*a + 7\/60*a**5 + 1\/24*a**4. Suppose 0 = 2*s + 17 - 3. Give z(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.269? (a) 5 (b) -0.2 (c) 0.4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101011101000 - -110?\nAnswer: 101101011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8945, 8944, 8943?\n\"Answer: -i + 8946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -1.7. Let v = 4825.9 + -4826. Which is the nearest to v? (a) 3 (b) t (c) -2\/25 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1. Let w(n) = 8154 + 3*n + 3*n - 8158. What is 6*g(q) - w(q)?\nAnswer: -6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 7359874.36 to the nearest ten thousand.\nAnswer: 7360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1970*p = 146*p + 209*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d*d**13))\/(d\/((d\/d**0*d)\/d)*d) assuming d is positive.\nAnswer: d**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 903871637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6)\/(60\/(-54))*6\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541, -537, -531, -523, -513?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.7 - -6. Let n = 5.9703 + 1.0297. What is the nearest to 1 in c, n, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-61*(-32)\/48*3419\/(-6838).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b + 6. Let x be v(7). Let w = -9 + x. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 5*x - 8, -746*x = -3*c - 748*x + 23 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 576017 (base 11) to base 14\nAnswer: 19ba26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - j - 1. Let x(z) = 11*z**2 - 8*z - 5. Let t(n) = -5*s(n) + x(n). Give t(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1886 - 0.7886. What is the second biggest value in -0.4, 4\/795, s?\nAnswer: 4\/795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -5863*(-635)\/(-77597).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15955 - 65448 - 25997 = -1790*b for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52036 (base 8) in base 12?\nAnswer: -10566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -425.828 + -9.02090496.\nAnswer: -434.84890496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 12*m + 54 = -8*m. Let v(h) be the third derivative of -h**4\/3 + 2*h**3 + 3*h**2. Let s(j) = -j + 1. Determine m*s(x) + v(x).\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(9\/4)*(a\/(a*(a\/(a\/a**16))\/a))\/a)\/(((a*a**(6\/17)*a)\/a)\/a)**25)**45 assuming a is positive.\nAnswer: a**(-69075\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1789, -7182, -16171, -28756, -44937, -64714, -88087?\n\"Answer: -1798*w**2 + w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 4*m + 32, 5*r - 124 = -5*m - 84 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*b - 35*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204990?\nAnswer: 2, 5, 311, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-20)\/380)\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 + -25. Let m = 94 + s. Let q = 0.4 - -0.1. Which is the third smallest value? (a) q (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*b**4*h + 1460*b**3*h**3 + 5*b**3*q + 220*b**2*h*q + 231*b**2*q - 17*b*h**3 + 3*b*h**2 wrt b?\nAnswer: -4536*b*h + 8760*h**3 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 3*d**2. Let l(c) = -c**2 - c + 6. Let q be l(0). Let r = q + -4. Let t(k) = -k**3 - 2*k**2. Determine r*j(p) + 3*t(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3919 is divided by 1068?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-154)*((-21)\/18)\/((-153)\/(-27)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268795 by 268795.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12365, -28983, -45603, -62225, -78849, -95475, -112103?\nAnswer: -128733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2585607855 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187498 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 11*z - 3*d = -28, 4*d = -5*z + 36. Let c = 6 + -16. Let i = 12 + c. Solve 0*x + i*x - z = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2020 divided by -5\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162681?\nAnswer: 13, 17, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12083 or -12082?\nAnswer: -12083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, x: 3, h: 1, l: 1, y: 1}. Give prob of sequence ny.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 - 76 = 0. Let b be (i\/1)\/((-6)\/(-4) + -1). What is the units digit of (b\/6 + 0)*24\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*u + 5, 35 = 9*u - 12*u + 4*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)\/((-85)\/(-119)). Let q = 201413\/30 + -6713. Let y = q - 7\/6. Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*c - 195. Let o = c - -42. Let y = 16 + -10. Solve 2*d = -d + o, -2*d = -2*n - y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/7614 and -85\/53136.\nAnswer: 2497392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 65. Let y be w(27). Let c(x) = -x + 18. Let b be c(y). Let z(j) = j**3 - 8*j**2 + 8*j - 5. Let k be z(b). Solve -k*d - d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -2*a + 12, 2*q + 5*a - 25 = 0. Suppose -8*h + 2 = -9*h. Let s = h + q. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 17*y**2 - 18*y + 16. Let x = -150 - -132. Calculate the remainder when f(x) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(104)\/sqrt(4))\/sqrt(2))*-3*6.\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 1. Let c be (-5)\/(-20*(-4)\/(-16)). Let f(w) = -6*w**3 + 3. Give c*f(z) + 3*p(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 45 - 12 + (-6 + 2 + 3)*(-2 + 1 - 1))*(-1 + 1 - 1)*(-3*o - 2*o + 3*o).\nAnswer: 114*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1269\/503714?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200 - -2?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (2 + -1 + (0 - -2)). Suppose v + 0*v - 18 = l. What is the highest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 65 - 8. Solve -5*l - u = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15*c**3 + 7*c**2 + 2*c - 5. Let t(p) = 19*p**3 - 9*p**2 - 2*p + 6. Let a(v) = 4*t(v) + 5*y(v). Give a(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -73, -171, -357, -661, -1113?\n\"Answer: -5*n**3 + n**2 - 8*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -114140?\nAnswer: -114144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30975047 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -187, -380, -641, -970?\n\"Answer: -34*u**2 - 23*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttvtttvtaenvvvvvttt. Give prob of sequence ve.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/2 - 2575*x**2\/2 - 5158*x = 0. What is x?\nAnswer: -4, 0, 2579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 153\/45)\/((-72)\/135 + 1)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 4 - 55*l.\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -y + 4, 0 = -y + 5*m + 11 - 1. Let c = 20 - 13. What is the remainder when (-4)\/10 + 92\/y is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6646991 less than -6646992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + v - 7056 = 0. Is 42 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1540)\/440*((-12)\/14 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.74 + -10.43. Let h = 2.28 + u. Round h to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14522*f**3 - 2*f**2 - 2*f - 82123 wrt f.\nAnswer: -43566*f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 45*o**3 - 35*o**2 + 45*o + 40.\nAnswer: -5*(o - 1)*(o + 1)**2*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*u + 10 = 4*d, 3*d = -28*u + 20 + 45 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73512225.\nAnswer: 3, 5, 108907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 999.6697ng in grams?\nAnswer: 0.0000009996697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 9*f = -6, 3*f = -k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 7*p + 4*p**3 - 3*p**3 - 5 as t*p**2 + s*p**3 + h*p + d and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 4*i - 15. Let y be b(-7). Let c(g) = 2*g**2 - 5*g - 2. Let p(j) = j**2 - 2*j - 1. Let f(s) = 3*c(s) - 5*p(s). Calculate f(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/20)\/(((-30)\/(-200))\/(((-351)\/(-24))\/39))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from etedivth.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -32*l - 260. Suppose 13*z - 64 = -168. Let g be x(z). Put -2\/3, g, -5, -14 in increasing order.\nAnswer: -14, -5, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-1)\/2)\/((-33)\/(-88))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -86*z + 24 - 19. Solve 0 = -s + 2*i + z, s - 1 = 3*i + i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 1\/80, 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooe when three letters picked without replacement from {e: 7, s: 4, w: 2, f: 1, o: 4}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 7*k**2\/2 - 27. Let d(j) be the first derivative of -4*j**3\/3 - 7. Calculate d(u(c)).\nAnswer: -196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -10.9. Let u = j - -0.9. Let i = -0.1999904 - u. What is i rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**12)**(-8))**4 assuming n is positive.\nAnswer: n**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37 and 266573?\nAnswer: 9863201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -y - 8, -4*y = -m - m + 20. Which is smaller: -7 or y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + 6*q + 1. Let p be f(-3). Suppose -p*d + 12*d - 8 = 0. Suppose 0 = -0*a + 6*a - 60. What is the least common multiple of d and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3276 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**16)\/h)*h*h**(31\/4)*(h\/(h*h**25))\/(h*h*h**(2\/15)*h))**(-4\/11) assuming h is positive.\nAnswer: h**(2063\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1741*i**4 + 52*i**2?\nAnswer: -41784*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2662767, -5325536, -7988305, -10651074, -13313843?\n\"Answer: -2662769*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -706 (base 13) in base 11?\nAnswer: -991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 1. Let d(f) = f. Let j(a) = -6*a + 5. Let w(u) = 2*d(u) + j(u). Determine -9*s(k) + 2*w(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 66)*73 - 5. Let j = y - 2890. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 9 - (-23 - -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 24*u**2 - 56*u + 18. What is r(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 0*d - 98*d**2 + 16*d**2 to the form l*d + x + c*d**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 + 1))*(-3)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4681 and 521699.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) - (-1 + sqrt(3) + 0)))**2*3 - 4*(sqrt(3) + sqrt(75) + 0)**2*6.\nAnswer: -2544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 2*f + 3*f + 0*f + 17*f**3 in the form a + c*f + p*f**2 + r*f**3 and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 7)*(-2 + 2 + 2*d)*(-9*d**3 + 4 - 4) + 0*d**4 - 2*d**4 + 0*d**4 in the form o*d**2 + q*d**3 + g*d**4 + i + w*d and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -4 - 3) + 4 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 17*w**2 - w - 18. Let z be m(-17). Which is the nearest to z? (a) -4 (b) 3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47794741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 241*n + 237*n = 2540, -y + 5*n = -529. Calculate the least common multiple of y and 567.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14449899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39981311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 18. Let k = 9 + l. Suppose -11 - 5 = -4*y + 4*g, k*y - g = 4. Solve 4*v + 0 + 4 = y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/13 + 4148*j**2\/13 - 58494*j\/13 - 62640\/13 = 0. Calculate j.\nAnswer: -2088, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/11 >= 2780.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {b: 5, k: 15}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/2, -3 in decreasing order.\nAnswer: 1\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 4*u - 1. Let h be b(1). Suppose -2 = h*q - 6. Let c(k) = 2 + 11*k**2 - 2 - 10*k**q. Let y(o) = -12*o. What is y(c(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 45 = 2*s. Solve -b = 2*b - s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 5*i**2 - 2*i + 1. Let h(v) = 12*v**2 + 17*v + 1. Let l be h(-2). Let x(j) = 5*j**2 - l*j**2 + 4*j**2 + j**3 + 7*j**2 - j. Give -2*x(d) + y(d).\nAnswer: -d**3 + 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43596570 is divided by 6228077.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxaaalzzeeaazax. Give prob of sequence axx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-8)*-1)\/(18 - 76251\/4242)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109799 + -58690. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*x - 408*x + 168423 = 0. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 459 - 522. Let j be (-10*3\/(-18))\/((-21)\/n). Solve -2*d - 1 = -j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*q, 4*q + 5*w = q. Let k(h) = -h**3 + 3*h**2 + 7*h - 7. Let p be k(4). Solve -p*s + 20 = -q*s, 0 = -5*g + 4*s - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155300 rounded to the nearest one thousand?\nAnswer: -155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/3, 1108, -0.1 in decreasing order.\nAnswer: 1108, 0.2, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -59. Let o = q - -29. Calculate the smallest common multiple of o and (-9)\/6*16\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j + 20 = 18*j. Which is greater: -2\/1985 or j?\nAnswer: -2\/1985","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -13*b**7\/35 - 13*b**4\/24 + 5*b**3\/6 + 185*b**2. Find the second derivative of t(m) wrt m.\nAnswer: -936*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 281 or 113242\/403?\nAnswer: 113242\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 654 and 11797615.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4732 + -4729. Suppose 0 = 5*g + 5*j - 15, -2*j - 10 = 3*j. Sort d, 1\/2, g in decreasing order.\nAnswer: g, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -368 + 379. Suppose -2*c + b + 13 = 2*c, -5*c + 2*b + 17 = 0. Let x be (-2)\/(-18) - 1\/c. What is the biggest value in n, x, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 + 0*c**2 + 2*c**2 + 3*c**2. Let i(d) be the first derivative of 0*d - 4 + 1\/2*d**2. Determine p(i(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14012485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 67. Suppose -w*t + 40 = 34. Suppose 0 = k + k + 2*b - 10, -3*k - 2*b + 13 = 0. Solve t - 9 = -k*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672)*-2 + sqrt(672))\/(sqrt(66)\/(-2*sqrt(11))) + 5 + (sqrt(63)\/sqrt(3) + sqrt(21))\/sqrt(3) + 0 + sqrt(567) + sqrt(567))**2.\nAnswer: 280*sqrt(7) + 5513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.136313 kilograms to nanograms.\nAnswer: 6136313000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2. Let h(b) = b**2 - 16*b - 13. Let x be h(17). Let n(o) = x*o - 4*o + o + 2*o. Calculate n(m(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*c + 51 - 967 = 0. Let h(u) be the second derivative of -1\/84*u**7 + 1\/2*u**2 + 2\/3*u**c + 0 - 3\/4*u**3 - 25*u - 7\/20*u**5 + 1\/10*u**6. Factor h(i).\nAnswer: -(i - 2)*(i - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbazzzazzzzzrv. Give prob of picking 1 v and 2 r.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*c - 4 + (c + 0*c - 10*c)*(-2 + 4 - 4) + (-1 + 2*c + 1)*(-4 + 1 - 1).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -18613?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123488?\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -443, -886, -1331, -1778?\n\"Answer: -u**2 - 440*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122417 and 1615.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-2 + sqrt(12))\/(sqrt(100)*1).\nAnswer: -7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 7\/6*g**3 - 2\/105*g**7 - 1\/120*g**6 + 0*g + 3\/8*g**4 + 0 + 0*g**5 - 51*g**2. Find the second derivative of v(s) wrt s.\nAnswer: -48*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 202257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 8. Let c = t + 10. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2508 and 2508 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*r + 5, -2*i + 4*r - 5 = -1. What is the third derivative of i*k**4 + 3*k**5 + 39*k**5 - 2*k**4 - k**2 - 4*k**5 wrt k?\nAnswer: 2280*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56982581 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j**3 - 5*j + 16*j**3 + 5*j - 268 + 252 to i*j**3 + u*j + d*j**2 + s and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -34. Suppose -2*z - 12 = -4*c, 5 = z - 3*c + v. Suppose z = -2*b - b + 84. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66554 divided by 7.\nAnswer: -66554\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10182 by 3394.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 10296.\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**4 - y**2 - 3. Let t(s) = -6*s**4 - s**2 - 7. Let f(r) = 3*t(r) - 7*v(r). What is the third derivative of f(w) wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3267408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 9 (c) -2\/11 (d) -4 (e) 5 (f) 2\/53\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (134\/(-12596))\/((-11 - (-19 + 9))*5\/10)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -87*v + 264. Give p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199412 divided by -10.\nAnswer: 99706\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11599 - -11598.8. Let x = 1 - 1. Let j = -0.45 + 0.05. Which is the second biggest value? (a) t (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23835 - -24196. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*v - 409*v = -192 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 - 25 = 2*l + 3*n, -5*l + 195 = -5*n. Let x = -27 + l. Calculate the remainder when 4 + (-42)\/(-9)*6 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2 (c) -5\/2 (d) 20.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/((-249)\/2075)*33\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47005\/(-10965) - (-46)\/(-989)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7925092, 7925090, 7925088, 7925086, 7925084, 7925082?\nAnswer: 7925080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -374547, -374550, -374553?\n\"Answer: -3*l - 374544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -102168954.5 to the nearest 100000.\nAnswer: -102200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.03 + 2.1. Let u be (-144)\/8*(-3)\/2. Let t be (-2 + 1)\/((-9)\/u). Which is the nearest to 0? (a) t (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 4*r**2 - 4. Suppose -39 + 15 = 3*i. Let y be (-16 + 4)\/((-1)\/1). Let c = i + y. Let h(v) = 3*v**2 + 3. What is c*h(p) + 3*q(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*w - 50, 4*w = -2862*h + 2867*h + 35. Let y(o) = -2*o**3 + 3*o**2 + 3*o - 3. What is the remainder when y(-3) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 22*k**2 + 7*k - 22. Is z(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 261 = 603. Suppose 5*x = z - 147. Suppose 3*l - 3*f + 0*f = x, -3*f + 23 = 2*l. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4858 + -3427. Suppose z + 2*g - 869 = -2*z, 5*z = g + i. Suppose -5*c + 194 = -3*c - 2*p, z = 3*c - 2*p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**6\/120 - m**5\/15 - 5*m**4\/24 + m**3\/2 + 2*m**2 + 62*m. Calculate y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137428 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23654, 59, -7, -5 in ascending order.\nAnswer: -23654, -7, -5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*f = 43, -2*r + 11 = -0*f - 5*f. Let g = r + -20. Let v be g - (5 - 3)\/2. Let j(u) = -2*u + 2. Let s(x) = 2*x - 1. Determine v*s(t) - 2*j(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 963 = 4*l - l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2396 = -289*b + 205 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.42 + -56.42. Let o = s - -60. What is the third biggest value in o, -2\/11, -2, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(2 + y - 2)*(4 - 4 - 4)*(-2 - 11*y + 2 + (1 + 2 - 1)*(15*y - 10*y - 2*y)*(-1 + 0 + 0)).\nAnswer: -68*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 853*d - 2571. Calculate y(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67351 + 160\/144 + 50\/(-45).\nAnswer: 47, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 + 0*a**5 - 3*a**5 + (8*a**2 - 5*a**2 - 12*a**2)*(119*a + 394*a**3 - 66*a - 53*a).\nAnswer: -3549*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/9 and 76\/15723.\nAnswer: 15723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 6*b + 2. Let t be d(6). Suppose 2*f + t*f = -5*q + 216, -4*q + 180 = -4*f. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 122, 125, 130, 137, 146, 157, 170?\n\"Answer: i**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -13*k**3 - 7*k**2 + 4*k - 3. Let b(r) = 9*r**3 + 5*r**2 - 3*r + 2. Let c(z) = 2*z + 5. Let j be c(-6). Calculate j*b(m) - 5*i(m).\nAnswer: 2*m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33 + -2)*(-4)\/(-10). Let q = 13 + m. Let f be (-2 + 2)*q\/(-2). Solve f = 3*t - j - 7, 0*j = 4*t + 4*j - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388453\/2 equal to 694226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -52*m + 2. Let z(y) be the first derivative of 13*y**2 - y + 1533. Give 4*o(w) + 9*z(w).\nAnswer: 26*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:44 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 16. Let s be 1\/1 - -2 - 0. Let k = o + s. Let l(q) = q - 2. What is l(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 11:22 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-140))\/(19\/10)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -54*r. Let z(k) = -109*k**2 - 130*k**2 + 282*k**2 - 115*k**2. Calculate z(i(x)).\nAnswer: -209952*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141956.953 + 141891. Let n = i - 0.047. Let y = -66.1 - n. Which is the fourth smallest value? (a) y (b) 1\/5 (c) -1\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*l + 3562 = -136*l + 718 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 572 + -345. Let o = 68605 - 68584. What is the remainder when y is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 78244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -1\/8, -1.18, -21?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - i - 1. Let u = 19 + -17. Let g(l) = -l**5 - 44*l**2 - 11*l - 11. Let n(c) = u*g(c) - 22*f(c). What is the third derivative of n(p) wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 + 1.71. Let p = y + -1.1. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -4087\/1401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*t + 25*t + 54*t)*(2*t + 0*t + 0*t).\nAnswer: 94*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56, 60, 52, 26, -24, -104, -220?\n\"Answer: -y**3 + 11*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -11*u + 36. Suppose -2*c = -2*k + k - 3, -u = -5*c + 3*k. Solve c*r + r = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l\/(l*l\/(l**(17\/5)*l))))\/(l\/(l**(-4\/11)\/l))*(l\/(l\/(l\/(l*l*l**(-17))*l)*l))\/l**20 assuming l is positive.\nAnswer: l**(-647\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -401 + 408 + (-22 - (1 + -1 - -1))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/7, -0.5, 3\/10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1668 = 94*b - 118 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + y - 2. Let i be m(3). Suppose i = 2*w - 75. Suppose -3*z = p + 6 - w, 5*p = -4*z + 161. Sort -3, p, -5 in decreasing order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5563308 to the nearest integer?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.7 + 13. Let c = s + -1.9. Are c and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)\/z)**(-2\/45)\/(z**1*z)**(-17))\/((z\/z**9)\/(z*(z\/((z**(2\/19)\/z*z)\/z)*z)\/z))**(16\/5) assuming z is positive.\nAnswer: z**(45832\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -207*p + 96*p - 1272 + 85*p. Let l be v(-49). Factor -4\/7*c + 1\/7*c**l + 4\/7.\nAnswer: (c - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22770 - -21931. What is the second biggest value in 2\/3, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -29.8. Let x = -6 + f. What is the nearest to 2 in 2\/9, x, -1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**9)**(-6\/25) assuming u is positive.\nAnswer: u**(54\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 715 and 1430?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 148 = -49. Solve 0 = -5*r + 4*n + m, -2*n = 4*r - 4*n - 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/3)*s)\/(s\/(s\/((s\/(s*s\/(s**(-7)\/s)*s*s*s))\/s))))\/(s*s**(-5\/2)*s**11) assuming s is positive.\nAnswer: s**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g**4 + 1\/6*g**3 + 0*g + 1\/60*g**5 - 2 + 2*g**2. Let j(y) be the second derivative of k(y). Differentiate j(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**4\/2 - 92655*x**3\/2 + 92645*x**2\/2 + 92655*x\/2 - 46325 = 0?\nAnswer: -1, 1, 18530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -s + 5*d + 2, 4*d = -5*s + 20. Let p be (2 + -3)*(-3)\/6. Suppose -p*y + s - y**2 - 1\/2*y**3 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411612 times 1.3?\nAnswer: 535095.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4 + x + 0*x - x + 2*x. Is o(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-1 + 1 + 3)*(3*i + i - 2*i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, 3, -748, 0 in increasing order.\nAnswer: -748, 0, 3, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 13 = -3, 2*w - 10 = 2*f. Suppose -7*a - 4*d = -2*a + 10, -a - d - 3 = w. Find the third derivative of 4*n**6 - 7*n**6 - 2*n**2 - n**a wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2522 is divided by 110?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 6 - (4 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 - -7. Sort 0.3, 1, z.\nAnswer: 0.3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240190, 480385, 720582, 960781, 1200982, 1441185, 1681390?\nAnswer: 1921597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*i - 6*i + 167 + 331)*((-4*i - 2*i + 5*i)*(-2 - 4 + 5) + 3 - 2*i - 3) to the form p*i**2 + s + c*i and give c.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1884 and -29\/12560.\nAnswer: 37680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:33 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222201101111110221 + 0?\nAnswer: -222201101111110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (sqrt(3) - (sqrt(3) + 0 - sqrt(3))*6)**2 + 1) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + s. Let i(y) = 5*y**2 - 2*y + 1. Let f(a) = 4*h(a) - i(a). Let o be f(4). Suppose 0 = 3*k - o*k. Solve -c - 5 = 5*j, k + 4 = -4*j + c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1726\/7 + -248. Let z = 72197\/42 - 5134\/3. Find the common denominator of z and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.71929 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + r - 3. Let p(l) = -18*l**2 + 4*l + 25. Determine -4*i(v) + p(v).\nAnswer: -10*v**2 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15380, -30680, -45958, -61208, -76424, -91600, -106730, -121808?\n\"Answer: h**3 + 5*h**2 - 15322*h - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -44. Let w(t) be the second derivative of 0 + 0*t**3 + 2*t - t**l + 0*t**4 + 3\/20*t**5. Differentiate w(b) wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1490 and 33674?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 529 = 515. Let q(j) = -4*j - 3*j**2 + j**3 - 2*j**3 + 0*j + 0*j. Let w be q(-5). What is the greatest common divisor of w and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 1 - 2\/5*i**5 + 1\/6*i**6 + 1\/4*i**4 + 0*i**3 + 0*i + 0*i**2. Suppose g(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*o + 783*o + 2780*o + 207*o + 146*o.\nAnswer: 4541*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -774.5 + -1\nAnswer: -775.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3555, 0.\nAnswer: -3555, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+-18178116712557\nAnswer: -18178116712557.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828 (base 10) in base 3?\nAnswer: 2111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8488.652 and 741.9.\nAnswer: -7746.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.35108 millimeters in kilometers?\nAnswer: 0.00003835108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*t - 5*a, 0*t + 5*t + 10 = 2*a. Let u be t + 0 - (-482)\/2. Suppose 3*w + w - 3*f - u = 0, 2*w + 5*f - 127 = 0. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 8\/6) + (-125)\/(-15). What is the common denominator of 38\/31 and w\/(-24) - 88\/18?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 315 = -45*g, -3*g - 4*n + 5*n = -21 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6061082 and 13.\nAnswer: 78794066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244506214 and 332.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-12 + (9 - 8) - (-19 - 1)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739 = -80*d - 49 - 1003 - 929 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 966268003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13800 divided by 1150?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -y. Let r(w) = -w**3 - w**2 + 3*w + 2. Calculate the lowest common multiple of r(-3) and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9863 + -6\nAnswer: -9869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25812*n*t**3 - 14*n*t**2 + 4*n*t + 2*t**3 - t**2 - t wrt t.\nAnswer: 154872*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59915 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11184416653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5 + 11046*v**4 - 323829*v**3 - 3609144*v**2 - 7614972*v = 0. What is v?\nAnswer: -3711, -6, -3, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3899903505 minus -1?\nAnswer: -3899903504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 12*a**2 - 110*a + 19. What is q(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -4. Let u = b + 11. Solve 6*s - 3*s = u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -5\/2*n**2 + 0 + 3*n**3 - 16*n. Differentiate p(f) with respect to f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q**2 + 0*q**2 + q**2)*(0 + 0 - 2*q) - q + q**3 + q)*(3*q**2 + 2*q**2 - 3*q**2).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2084 + 0.2. Round y to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*d*h*i**2 - d*h*i - 8380*d*h - 14287*h*i**2 - 4*h + i wrt i?\nAnswer: -58*d*h - 28574*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5050\/21 - 143319\/595. Find the common denominator of (-92)\/70 + 20\/50 and p.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81552.42kg?\nAnswer: 81552420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139.99 - -143. Let v = s + -0.01. Let k = -1.2 + -1.8. Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a hour in seconds?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/18 + 2\/9. Let v(i) be the third derivative of 1\/30*i**5 + 2*i**2 + z*i**4 + 0 + 0*i + 1\/3*i**3. Factor v(t).\nAnswer: 2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 3*x + 3*x - x.\nAnswer: -x + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 180 (b) -1\/35 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckmkcccccqq. Give prob of sequence cqcc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5398b1 - -4?\nAnswer: -5398ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.159 + 0.359. Let x = 31 + -47. Which is the closest to o? (a) 0.4 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 6*t - 13. Let n(b) = 2*b**3 - 5*b - 14. What is -5*d(v) + 6*n(v)?\nAnswer: 2*v**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, -3577371 in increasing order.\nAnswer: -3577371, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 2*m + 41*m**3 + 2*m - 4*m + 6*m.\nAnswer: 41*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/((-36)\/54)*-9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19992156, -19992155, -19992154, -19992153, -19992152?\n\"Answer: v - 19992157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, x: 4, i: 4}. Give prob of picking 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30101626 to the power of 1\/2, to the nearest integer?\nAnswer: 5486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6957 + 4085 = -474*m + 24146 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17.06. Let z = o - -0.94. Sort 3\/7, z, -4 in ascending order.\nAnswer: -4, 3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.252 - -0.1829.\nAnswer: -0.0691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -4\/7, 6, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529468.\nAnswer: 2, 132367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 512, 743, 948, 1121, 1256, 1347?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 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: Let q(u) be the first derivative of 1\/3*u**3 - 49 + 0*u**4 - u - 2*u**2 - 12\/5*u**5. What is the second derivative of q(z) wrt z?\nAnswer: -144*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -63. Suppose u*x + 4*b = 101, 3*x - 6*b = -5*b + 106. What is the greatest common divisor of x and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2 - 19*b - 525. Give a(-8).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.1. Suppose 0*l - 4*l - 4*y - 40 = 0, -2*l - 16 = y. Let m be l\/24 - 0\/(-2). Is m at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oloy when four letters picked without replacement from {l: 1, o: 6, i: 1, j: 4, y: 2, z: 4}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 210901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96028, 96023, 96016, 96007, 95996?\n\"Answer: -l**2 - 2*l + 96031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358*s - 10227 = 356*s - p, -s + 5116 = p. Is 121 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1347744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*l - 4 - 2, -10*f = -84*f - l + 153 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 34021135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from uctctvctchv.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022121211 (base 3) to base 9.\nAnswer: 38554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 2*i + 17. What is t(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(2\/7)*g**(1\/5)*g**(-5\/6)\/(g\/((g*g*((g\/(g\/(g**7*g)*g))\/g)\/g*g)\/g)) assuming g is positive.\nAnswer: g**(1277\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -t - 5*f, 27 = -1498*t + 1501*t + 3*f for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85344 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -6*d + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/7 (b) 10 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 48.73. Let h = j + 0.14. Let v = h + 12.13. Is 1 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188 + -19. Find the second derivative of -202*q**3 + 411*q**3 - 1 - c*q**3 - 164*q + 1 wrt q.\nAnswer: 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*f - 7 = 6*f, -11*q + 5*f - 109 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0267 (b) -1\/5 (c) -1\/6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 174, 700, 1574, 2796, 4366, 6284, 8550?\n\"Answer: 174*v**2 + 4*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100097051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96798193 to the nearest integer?\nAnswer: 9839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 4. Let y(s) = -s**2 - 21*s - 13. Let z be y(w). Suppose -5*x = z - 265. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 j, and 1 e when four letters picked without replacement from {j: 4, i: 5, e: 4, s: 4, t: 1, d: 2}?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 67 = 9*x. Solve 84 = x*m + 68 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 bigger than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -931*i + 22744. Let v be w(10). What is the greatest common divisor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136 - u + 159 + 314 + 161 to the form d*u + t and give t.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - 38 - (-13 - 62)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(34\/3)*(x*x\/(x**(-1)\/x))**19)\/((x*x*x**(-2\/3)*x)**(-3\/22)*x**(-4)\/(x*x\/(x**(-5)\/x))) assuming x is positive.\nAnswer: x**(5081\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13579 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -3*m + 134 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + -3 + -7)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 54*o**2 + 123*o + 1027. What is d(-26)?\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2)\/(-4)*(-69)\/(-23)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -59 (c) 0.1 (d) 4 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b + 237. Calculate the least common multiple of y(7) and 266.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 6. Let q be t(-4). Let d be 25\/(-10) + q\/4. What is the units digit of (-1)\/(-1) - (d + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 21140114162907*w**2 - 39818445*w + 75\/4 = 0.\nAnswer: 5\/5309126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1917 and -0.01.\nAnswer: -1917.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 863231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/60 - s**4\/12 + s**2. What is f(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u + 1 + 2*u)*(2 + 2 - 8).\nAnswer: -4*u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 2\/7 (c) -0.118 (d) 2\/11 (e) 2\/507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p - 10*p - 261 = -42*p. Suppose 3*a - 5 = -5*c - a, -2*a = 5*c - 15. Suppose -q + c = -1. Solve -2*b + q*m - 10 = p*m, -5*b + m = 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-58)*(2 + 6). Let m = i - 394\/609. Let g(f) = -f - 7. Let k be g(-7). Which is the closest to k? (a) -3 (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 607 by -441.\nAnswer: -607\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**8\/2520 + a**7\/2520 + 2*a**5\/15 - 8*a**2. Let k(l) be the third derivative of p(l). Find z such that k(z) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 4*w**2 + 3*w + 2. Let q be a(3). Suppose -d = 3*l + 10 + 11, q*d + 3*l + 39 = 0. Let p = -13 - d. Put 0, p, -2 in ascending order.\nAnswer: -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -3. Let z = u - -103.0535. Let c = z - 0.029. Round c to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 + 4\/(-15). Let o = 184.2 + -186.2. Which is the closest to m? (a) -13 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -292, -123, -54, -85, -216, -447?\n\"Answer: -50*s**2 + 319*s - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 93\/(-66) + 2. Let i = s + -1\/11. Which is the third biggest value? (a) 2 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9886401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v - 45. Let q(p) = 10*p + 40. Give -4*i(k) - 5*q(k).\nAnswer: -6*k - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaxlxlllal. Give prob of picking 2 x and 1 l.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/10)\/(l\/l**(2\/11)))\/(l**(-1\/3)\/l**(-2\/9))*l**(-1)*l*l**5*(l*l**1)**(-38) assuming l is positive.\nAnswer: l**(-71089\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 87564264 to the power of 1\/2, to the nearest integer?\nAnswer: 9358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038118 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -22*12\/(-8)*(-4)\/(-6). Suppose -9 = -4*r - 2*y - 3, 2*r - 4*y + n = 0. Which is the second biggest value? (a) r (b) -4\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 897*j**2 + 0*j - 945*j**2 + 0*j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h. Let v = 65 + h. Find the third derivative of v*w**3 + 9*w**2 - 65*w**3 - 7*w**6 wrt w.\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*h - 2)*(-3*h + h + 0*h) + 2*h**2 - h**2 + 0*h**2 + 2*h**2 - 2*h**2 - 3*h**2 + 4*h + 2*h**2 - 4*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2586\nAnswer: 5172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2. Let m be -32 + (-1 - 5 - -3). Let s(k) = k - 1. Let j(h) = h**2 - 7*h + 7. Let p(v) = m*s(v) - 5*j(v). Calculate d(p(f)).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -202 - -4?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198369 - 122036. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12690512*q**2 - 4692804*q wrt q?\nAnswer: 25381024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 < 178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from mbuku.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 8769.1488 to the nearest one hundred.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1530 = 6029*l - 5927*l. Suppose 7*w - 2*w - 3*m = 13, -3*m + 5 = 4*w. Solve -w*z = -5*u + l, 2*z - 3*z = 3*u + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -61 + -4 + (-1 - 0). Let f(b) = 24*b - 200. Let m be f(7). Let u = m - n. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -245*w**3 - 10*w**2 - 17*w - 7. Let s be o(-11). Let y = s + -152065. What is y rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-143)*26*33\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73272*k**2*n**4 - 53*k**2 - 15*k*n - 1006*n**4 + 3*n + 331 wrt n?\nAnswer: -879264*k**2*n**2 - 12072*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1339666\/29 - -46200. Let q = v + 4\/87. Calculate the common denominator of (-1)\/11*(3 - 0) and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**2 - 6*n + 1. Let t be x(4). Let k = -59 - t. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26917.4, -1, -2, 0, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 + 146295*l**2\/2 - 292589*l\/4.\nAnswer: -l*(l - 292589)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 1872630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -498, -509, -526, -549, -578, -613, -654?\n\"Answer: -3*f**2 - 2*f - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.21 - 8.79. Let t = z + 9.3. Which is the closest to -1\/4? (a) 3 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070453 is divided by 542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3844750379?\nAnswer: 17, 3079, 73453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2112)\/(-80))\/(6\/(-4)*(-74)\/185)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2242, 7882, 17246, 30304, 47026, 67382, 91342?\n\"Answer: -5*k**3 + 1892*k**2 - k + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -9487246\/277 and -34249 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -26*o. Let x(b) = 19*b. What is x(p(h))?\nAnswer: -494*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - -2) + (0 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152301098*l**3 - 127*l**2 - 319116 wrt l?\nAnswer: -913806588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -592 divided by 16?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 941.\nAnswer: -2\/941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t - 5. Let k(y) = 3*y - 8. Let q be k(9). Let s = q - 30. Let f(r) = r - 4 - 10 - 9*r. Give s*m(i) + 4*f(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 4*x + 0*x + (-8 + 5*x + 8)*(1 - 5 + 3).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4.4, 665, -3, 3\/5, 103.\nAnswer: -3, 0, 3\/5, 4.4, 103, 665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8722005 to 1 dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geeegeeegeeeeegg. What is prob of sequence eeg?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2 + 0*s + 0*s**2 - 1\/3*s**3. Let d(p) = -2*p**2. Determine d(r(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - (-15)\/(-12). Let f(q) = -82*q**3 + 3*q**2 + 4*q. Let g(y) = -165*y**3 + 7*y**2 + 9*y. Let d(w) = 9*f(w) - 4*g(w). Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 136.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*p + 1856 - 1816 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -26*y**2 - y + 1. What is t(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33337*t**3*z + 532*t**3 - 6*t**2*z + 42*t**2 + 45*t*z + 40*t + z wrt t?\nAnswer: 200022*z + 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 23101221?\nAnswer: -23101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/93, -2\/9, -4\/5, 0.18, 0.08?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18275 and 555947?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 1, b: 4, t: 9}. Give prob of picking 1 j, 1 t, and 1 l.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 6)*(4*s - 5*s + 6*s)*(0 + 0 + 2*s**2) - 2*s**3 + 2*s**3 - s**3 + (3*s - s - s)*(2*s**2 - s + s) + s + s**3 - s.\nAnswer: 122*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68 and -3?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1. Let s(z) = -2*z**3 + 3*z**2 + 11*z - 2. Let f be s(3). Let j(w) = -w - 4. Suppose -4*m + 3 = -7*m. Let b = 0 - m. Determine b*j(a) + f*g(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0 - 1\/16*v**4 + 35*v + 9\/4*v**3 - 243\/8*v**2. Factor s(j).\nAnswer: -3*(j - 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/12)\/((-14)\/(-12)). Solve -6 = -j*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 155 = -46*g. Let m = 12 - 7. Suppose -5*n + 130 = 5*p, m*n - n = -5*p + 102. What is the remainder when n is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*5\/10*2. What are the prime factors of 3 - v - (3 + -3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -627, -5870, -20117, -47874, -93647, -161942, -257265?\n\"Answer: -751*t**3 + 4*t**2 + 2*t + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 22 = -6*b + 8*q, 0 = -2*b + 2*q - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0*n + 72 - 23*n - 6*n. Let b be q(4). Does b = -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1.2, 1\/3, -3 in descending order.\nAnswer: 10, 1.2, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 + 45*f + 5. Give a(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/15 + 5)\/2\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(-5)\/(-25)*(-2)\/(2*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 2. Let t(s) = s**3 - 2*s**2 + 3*s - 1. Let f be t(2). Let x be 6\/(-57) + (52 - 60 - (-2)\/19). Let w(j) = 2*j - 3. Determine f*w(a) + x*r(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1\/7 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*z - 20. Let l = z - 13. Suppose 5*a**2 + 3*a**3 + 2*a**4 - 2*a**5 - l*a**2 - a**3 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 11. Suppose 5*h = -s + 2, -2*h - 4*s + 6 = -2. What is y(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 10, v: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4\/6 - 3010*v**3\/3 + 55800*v**2 - 1014120*v + 6113880.\nAnswer: -5*(v - 18)**3*(v + 1258)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/10 of a litre?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 7. Let t(h) = -8*h**2 - 8*h - 18. Let z be t(-4). Let y = z + 366. What is the greatest common divisor of y and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.206 + -0.006. Let x = 7 + -4. Let j be (-8)\/(-77) - 6\/21. Which is the nearest to x? (a) j (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32842.\nAnswer: 2, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, 23, 149, 413, 863, 1547, 2513, 3809?\n\"Answer: 8*f**3 - 3*f**2 - 11*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 6:25 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 4*c - 3. Let g(z) = 2*z**2 + 8*z - 8. Let f(k) = -k + 1. Give c*g(j) - 8*f(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6871049.\nAnswer: 6871049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**2 - 7*w**2 + 9*w - 3*w + 2*w**2 wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**3 - 40*v**2 - 114*v + 26. What is l(10)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let d(l) = -1. Let n(b) = b - 7. Let m(t) = -4*d(t) + n(t). Let q(c) = -6*c + 14. Let w(v) = 14*m(v) + 3*q(v). Calculate r(w(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*sqrt(88))\/sqrt(8))**2 + 5*((sqrt(88) + (sqrt(88) - (-3*sqrt(88) + sqrt(88)) - sqrt(88)) - sqrt(88)) + sqrt(88))\/sqrt(8).\nAnswer: 15*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -24573014.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 4*a + 49, 5071*u - 5070*u = -2*a + 13 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0395 and -3.943.\nAnswer: -0.1557485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w - 16. Let r(u) = u - 1. Let a(c) = -2*b(c) + 28*r(c). Let i(s) = 5*s + 1. Calculate -3*a(k) + 10*i(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Which is the smallest value? (a) f (b) -2\/15 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -490, 6422, -5 in ascending order.\nAnswer: -490, -5, 6422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4*g - 1 = 6*g, 5*g + 5 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -105351*g. Let t(c) = -8*c. Determine t(w(j)).\nAnswer: 842808*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*t = 5 - 2, 4*h - t - 3 = 0. Suppose 0 = -3*d - p + 14, -5*d + 13 = 5*p - 17. Solve 0 = -o - h - d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmugumuzmzwu. Give prob of picking 1 u, 1 z, 1 g, and 1 w.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -22. What is the least common multiple of 5\/4 + (-15)\/(-20) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -657357*v**2 - 3*v + 16079 wrt v?\nAnswer: -1314714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -1\/24*x**4 + 0*x - 1\/24*x**3 - 1\/120*x**6 + 0 + 8*x**2 - 1\/840*x**7 - 1\/40*x**5. Factor o(p).\nAnswer: -(p + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 3*m**2 + 6*m - 6. Let z be f(4). Suppose -z = -2*k + 12. Let d be 6*(-2)\/(-6) + (-1 - -20). What is the greatest common factor of d and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694222025.\nAnswer: 5, 7, 59, 71, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.44 - 1.34. Which is the second smallest value? (a) -0.06 (b) -0.5 (c) -2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 180.777648 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*y + 16, y + 190660 = -3*h + 190672 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Suppose 0 = m + s*m - 5. Let z(t) = -t + 1. Let p be z(m). Solve k - 1 = -p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 12:20 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 - 623*o**2 + 207*o - 1444. What is u(-208)?\nAnswer: -1236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.089184 - 11183.510816. Round u to the nearest one hundred.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**2*l**2 - 62646*h**2*l + h*l - 4963*l**2 wrt l?\nAnswer: -12*h**2 - 9926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14.4. Let l = 0.03 + -0.03. Which is the third biggest value? (a) -3 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 5*n**3 + 10*n - n**2 - n - n**3 to w*n**2 + y + g*n**3 + s*n and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32066129.\nAnswer: 19, 811, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*p = -126*p - 115. Calculate the remainder when 108 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 15. Let v(w) = -w**2 - 16*w - 7. Let a be v(-15). Give l(a).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2117 - -2117. Let s(t) be the third derivative of 7\/12*t**4 + c*t**3 + 0 + 0*t - 15*t**2. Let o(g) = -g**2. Calculate s(o(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*x + x + 3*r, -5*r = x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69037\/3 + -23013. Let w = 3 - -2. What is the second biggest value in w, m, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38 - 309*a**3 + a**4 + 308*a**3 + 0*a**4 wrt a?\nAnswer: 4*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129654 - 78887. List the prime factors of x.\nAnswer: 50767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24010, 96050, 216116, 384208, 600326?\nAnswer: 864470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6581018 divided by 4?\nAnswer: 3290509\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 861.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153704 and 5568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0, 76, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y + 6*y. Is 1\/201 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4. Suppose -5*a = q - 26. Suppose -a*h + 60 = -0*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -v - 36, 0*b + 2*b - 44 = -v. Solve 2*y + 3*y = b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6156 + -8983. Let i = t + 4005. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -9*l + 68872. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/1748)\/(3\/12)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 6*t**2 - 6*t + 4. Let d be f(5). What is the closest to d in -0.03, 1\/5, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93436.87 millilitres to litres.\nAnswer: 93.43687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 5*o - 101. Let d be v(-13). Suppose 0 = 3*w - 4*t - 23573, 2*t - 31438 = d*w - 7*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*i**2*q**3 + 73*i**2 + 6*i*q**3 - 30*q**3 + 3473*q**2 - q - 1 wrt i?\nAnswer: 116*i*q**3 + 146*i + 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3548302 or 3548315?\nAnswer: 3548302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28893*w**2 + 28793*w**2 - 58140*w**2.\nAnswer: -454*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*m - 8*a**2 + 2312711*a*m - 2*a + 142137*m - 2410 with respect to a.\nAnswer: -4*a*m - 16*a + 2312711*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/30 + (-3)\/(-15). Let s = 0 + r. Suppose -w = s*w. What is the closest to w in -3, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z + 32, 5*z - 3 = -2*c. Suppose c = 2*p + 2*r, -4*r + 20 = -0*p + 2*p. Solve 0*y + p*t + 14 = -3*y, y = 5*t + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 2581523133496.\nAnswer: 2581523133495.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3971430 and 9443178?\nAnswer: 424943010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 40*j**2 - 10*j + 5. Let w(k) = k - 10. Let i be w(15). Is o(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 5*l**2 + 9*l + 77. Let k be t(-7). Let u(f) = -177*f + 96 + k*f - 96. Let y(x) = x. What is u(y(a))?\nAnswer: 278*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -c - 5*n, 9*c - 4*c - 3*n - 64 = 0. Calculate the least common multiple of 24 and c.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-182)\/117)\/(8\/31586). Let v = -6140 - p. Find the common denominator of v and -91\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*b + (-15*b + 10*b - 82*b)*(-3 + 2 + 3) in the form m*b + q and give m.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + 1*(-3 + sqrt(847))*2 + 5).\nAnswer: 8 + 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -17*m**2 - 11*m - 31. Let w(j) = 6*j**2 + 4*j + 10. What is -4*g(u) - 11*w(u)?\nAnswer: 2*u**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15717, 5, 38, -2\/9 in decreasing order.\nAnswer: 38, 5, -2\/9, -15717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqyyyqtqqtq. Give prob of picking 1 y, 2 t, and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27 - -1)\/2 + 4. Let n(w) = w - 4. Suppose 2*b + 3*b + 15 = 0. Let t be n(b). Are t and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63923 less than 1.8?\nAnswer: 63924.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 11, g: 6}. Give prob of picking 2 g.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -154*k + 35 + 102 + 104 wrt k.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*t, -6*m + 4*m + 5*t = -9. Suppose -4*s = -3*s + m*j - 435, 0 = 4*s + j - 1712. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 143554 (base 6) in base 12?\nAnswer: 7bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*l + 3546*g - 19*l with respect to l.\nAnswer: g - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = -0. Let h be 37\/7 - (-4)\/(-14). What is the smallest value in h, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose -28 = -y*h - 4*j, -h + 19 = -0*h + 4*j. Suppose -k + 121 = h*t, -4*t + 28 = 3*k - 140. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 699.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrbxrrxxrxrb. What is prob of sequence rr?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 1:15 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbf when three letters picked without replacement from {f: 2, x: 1, j: 2, b: 2, t: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -341 - -3796. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-18)*i**(-2\/25)*(i**(-12)*i)\/(i*(i\/(i**(4\/7)*i))\/i) assuming i is positive.\nAnswer: i**(1486\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005839 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 10*t**2 + 12*t + 2. Let r be o(-8). Suppose 4*j - m - 24 = j, 0 = 4*j - 2*m - r. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/8)*a**(-5))\/((a*a**2\/a)\/a)**(-2\/3) assuming a is positive.\nAnswer: a**(-77\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 475, 468, 443, 388, 291, 140?\n\"Answer: -2*h**3 + 3*h**2 - 2*h + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v - v**2 + 11 + 17*v to j*v**2 + x*v + p and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*n = -85 + 133, 3*k + n = 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10341 and 1?\nAnswer: 10341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4666901*c**4*m - 4*m - 557300 wrt c?\nAnswer: 18667604*c**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 549.6 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 32513117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/1269079 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = -711. Is (-4)\/10 - s\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1507 - -260. What is the greatest common factor of k and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171 >= 164920\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 2 j when four letters picked without replacement from jjooojjopoooonononoj?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from iioikgkiiiikkiiigioi.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1540*f - 191. Let w(n) = -513*n - 55. Give -7*w(o) + 2*z(o).\nAnswer: 511*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 14*t**3 - 2*t**2 - 1939 + 1940 + 82*t**3 to the form d*t**2 + a + c*t + q*t**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 10)*(-216)\/1620. Which is the fourth biggest value? (a) 0 (b) 4 (c) m (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11 = 1. Let f = -2 + u. Let w = 936 + -912. What is the highest common factor of w and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1476 + -1385. What is the greatest common divisor of 5 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 9, 1\/3, 0, -2, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.356 and -372.\nAnswer: -132.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -51*h - 25. Give c(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*m, 4*h - 128 = -3*m - 20. What is the smallest common multiple of h and -4*14\/(-20)*(-8 + 18)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-21) + (-1394)\/(-14). Calculate the greatest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.354 (b) -4 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15 = h, 2*h - 24 = -0*h + 4*o. Suppose -h*m = -11*m + 140. Suppose -5 = -5*z - 2*k + 7, 3*k = 4*z - m. Solve t = -z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 14*d - 44. Let f be h(6). Suppose 3*g - 5*m - 24 = 0, -f*g + 27 = g - 4*m. Let w(z) = -z**2 - 5*z + 2. Give w(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-15)*25*6\/(-4)*2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + -a?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251986670.\nAnswer: 2, 3, 5, 11, 53, 107, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12418*a*t + 62196*t wrt a?\nAnswer: -12418*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.03 - 0.03. Let n be (-420)\/(-168)*(-4)\/50. Sort q, n, -0.04.\nAnswer: n, -0.04, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*x - 8*x + 2*x - 7 - 4*x + 7 + 0*x + x - 5*x + (0*x + 2*x - 3*x)*(1 - 1 - 1) as g + b*x and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -283 and -282 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/5, 11, 1\/4, -0.3 in ascending order.\nAnswer: -0.3, -1\/5, 1\/4, 2\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:18 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 19, -38.\nAnswer: -38, -28, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -24100473 to the nearest one hundred thousand.\nAnswer: -24100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*h + 3, a = h - 2*h + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 22*v + 33. Give x(18).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1378927 is divided by 229812.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*h**2 - 50 + 0*h**2 + 32 wrt h.\nAnswer: 40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-122)\/549)\/((-187)\/(-306)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/7)\/x**2)\/(x\/(x*x\/x**0*x))**(2\/15) assuming x is positive.\nAnswer: x**(-197\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 9*n + 12*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j = -174. Calculate the remainder when j is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d = -0*d. Suppose d*v - p = -3*v + 317, -v + 5*p + 101 = 0. Let r = v - -26. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*((0*p + 3*p - p)*(-1 + 6 - 3) - 6 + 6 - p + p + p + p).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*z + 8 = 0, j + 0*j + z = -12. Let k(h) = -2*h**3 + 4*h**2 + h - 3. Let i(v) = 5*v**3 - 11*v**2 - 3*v + 8. Determine j*k(s) - 4*i(s).\nAnswer: 2*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**4 + f**3 + f**2 - f + 5. Let j(b) = -b**4 - b**3 - b**2 + b - 1. Let p(g) = -j(g) - t(g). What is the derivative of p(r) wrt r?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f. Let n(d) = -3*d. Let c(j) = -32*j. Let o(t) = 4*c(t) - 44*n(t). Determine o(b(x)).\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6289998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731376*m**2 + 1462381*m**2 + 87*m**3 - 731005*m**2.\nAnswer: 87*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 231, 5, 0.252?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5622303 divided by -5\nAnswer: 5622303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*m = -6, -2*m + 1 = -l - 0*l. Does 7 divide ((-1)\/l)\/(7\/(-133))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1107.2 (b) -0.8 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-603)\/(-536) + 3\/(-8).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*z - 15, 6*h + h - 3*z + 9 = 0. Solve -1 = -f - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*g + 46 = -3*g, 0 = 3*g - 12. Let z be -2 + 9\/6 + q\/4. What is the second derivative of 15*b**5 + 8*b**5 + 0*b + 5*b + 3*b**z wrt b?\nAnswer: 520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 583, -8, -20.\nAnswer: -20, -8, -5, 583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-26)\/1092 + 18\/((-1620)\/2355)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293686 is divided by 261?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*x + 40*x = -4*u - 42*x - 87732, -2*x = 0. Are u and -21933 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 - (-1216)\/114. Let v be ((-608)\/j)\/(22\/(-55)). Calculate the highest common divisor of 266 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*s = -647 - 32 - 476 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -575*-0.6443.\nAnswer: 370.4725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62761 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 2146 in decreasing order.\nAnswer: 2146, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37920*27.1.\nAnswer: 1027632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.3 - 8. Let u = 12 + -12.51. Let w = u + 0.01. What is the third biggest value in -10, w, f?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1947177 and 663727?\nAnswer: 3667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8811\/5 - 1763. Sort 1, -14, 6, f in descending order.\nAnswer: 6, 1, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133671, -133171, -132669, -132165, -131659?\nAnswer: -131151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m + 5*a + 24, 3*a + 16 = m. Let s be (-37)\/4 - (-1)\/m. Let u = 2 - s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (-16 + 13) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:49 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.604422 years in decades?\nAnswer: 0.7604422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5806 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**7\/70 - 11*b**6\/120 + 37*b**4\/24 - b**2 + 35*b. What is the second derivative of l(u) wrt u?\nAnswer: -36*u**2 - 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2. Let k = v + 0. Let i = -0.8 + -3.2. Which is the closest to 1? (a) k (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvvv when four letters picked without replacement from yyyyyvyvyvzyyv.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6752617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 47*f**2 - 14*f - 1. Let j(q) = 16*q + 23*q - 2 + 6 + 3*q - 140*q**2. Let d = 17 + -24. Let g(o) = d*h(o) - 2*j(o). Factor g(u).\nAnswer: -(7*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10105 is divided by 317?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3654\/(-12))\/29 - -12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:37 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(162))\/sqrt(9)*-4)\/(1*sqrt(600) + sqrt(30)\/sqrt(45)).\nAnswer: -24*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(378\/(-123)) + (-124)\/(-744).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiiiui. What is prob of sequence iii?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 13358*o**2 + 25*o**3 - 13357*o**2 to the form l + b*o + d*o**2 + s*o**3 and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6311 < -6318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 5, s: 3}. What is prob of picking 1 g and 2 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 1, 0, 5, -107, -2 in ascending order.\nAnswer: -107, -43, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 225c93?\nAnswer: -225c8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/1*453\/(-1661). Solve 2*d - 10 = -c*j + 5*j, 3*j - 4*d + 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 0. Let b(r) = -r**3 + r + 8. Let j be b(l). Suppose 3 - 1 = 2*c. Calculate the highest common factor of j and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-6 - -1) - 0) + -1686 + 1673?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8165441\/3 < -2721815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (-2)\/2 - -1002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 6*v + 2*v = -24, -9 = 19*d - 24*v + 65*v - 38*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -134548659 divided by -119\nAnswer: 1130661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 1, f: 2, l: 1, r: 2}. What is prob of picking 1 f and 2 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103539 + -193139. Round x to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*s + 318 - 318 to b + a*s and give a.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 473, 937, 1401?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-180) - 26\/585\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 5*a + 22 + 0 = 0, 0 = 4*l - 3*a - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1132)\/(-24 - (-4780)\/200)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 799860 and 8.\nAnswer: 1599720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15720, 15724, 15730, 15738, 15748?\n\"Answer: w**2 + w + 15718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011011101110 (base 2) to base 10.\nAnswer: 38638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 115997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022326312 rounded to seven decimal places?\nAnswer: -0.0022326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 - 1\/3. Solve 2*y - 1 + 3 = s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4136 - -6182. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011111010110100 (base 2) to base 6\nAnswer: 1425420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87425 and 102804806?\nAnswer: 3497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -17 - (-2 + (12 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**2\/2 - 2. Let u(n) be the second derivative of 0*n**2 + 0 + 1\/12*n**4 + 0*n**3 - n. Calculate l(u(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, 0.5, -4\/17 in increasing order.\nAnswer: -4\/17, 1\/19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 4, -1, 2\/25, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15945 and 36628854?\nAnswer: 183144270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g. Let w(l) = 8*l**2 + 6*l. Give 5*m(i) - w(i).\nAnswer: -13*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(196) + sqrt(196)*-3)*1 + sqrt(196)))\/(sqrt(72)\/(sqrt(12)\/(sqrt(12)\/sqrt(4)))).\nAnswer: -35*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 386.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 + 223.4. Let o = 10 - 9.9. Suppose -2*w = -3*w. Which is the nearest to 0? (a) u (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from {z: 2, l: 5, i: 2, u: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4400 and 1253450?\nAnswer: 10027600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 20 = 0, 2*d + 0*g = g + 4. Suppose -2*q + 31 = u - 4, -2*q + 4 = d. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, p: 1, q: 2}. What is prob of sequence pq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - x - 3*x + 12 = 0, -4*g - 5*x = -33. Calculate the remainder when 7 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16\/5, -5, -3, 1\/2, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 d, and 1 i when four letters picked without replacement from {a: 4, s: 2, d: 4, i: 4}?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191 - -100. Let a = 90.91 + i. What is the closest to 1 in -1\/5, a, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 448108*d - 14339448. Give w(32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -598*t + 602*t. Factor 7*y**3 + 5*y**4 - 8*y - 4 - y**2 - 21*y**5 - 31*y**5 - 18*y**t + 71*y**5.\nAnswer: (y - 1)*(y + 1)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -191279, -195267, -199255, -203243, -207231, -211219?\n\"Answer: -3988*w - 187291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 134*y - 7674. What is the remainder when 1431 is divided by j(60)?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98812 is divided by 2763?\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w - 40. Solve 0 = 5*a - 0*a + w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18929 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1991, -840, 311?\n\"Answer: 1151*i - 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2. Let l(d) = 736*d + 10. Calculate a(l(x)).\nAnswer: 1625088*x**2 + 44160*x + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-149643)\/(-2340) + -64)*-1460.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.787 - 2.787. Let a = 15 - 20. Let u = a - -5. Sort u, b, -4, 5.\nAnswer: -4, b, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11366 (base 8) to base 11.\nAnswer: 3713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) - sqrt(45)) - ((sqrt(125))**2 + -1) - -3*sqrt(180)*-3.\nAnswer: -124 - 46*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/17 - 1330*c**3\/17 - 5344*c**2\/17 - 5352*c\/17.\nAnswer: 2*c*(c - 669)*(c + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2916)\/1782*(-22)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*l - 7, -3 = l - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 13, a: 2, b: 3}. Give prob of sequence ta.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -3\/5 (c) 14\/19 (d) 32708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/15)\/p*p\/(p*(p*p**(-2\/17)*p)\/p*p*p) assuming p is positive.\nAnswer: p**(-956\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h*y**3 + 3*h*y**2 + 1744*h*y + 31*h + 930769*y**3 wrt y?\nAnswer: -24*h + 5584614","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -67\/15 + 24\/5. Let n = 23\/7 + -71\/28. Let u = 5\/4 - n. What is the third biggest value in u, h, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354224511.\nAnswer: 2027, 668093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 1346?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 449*29329.\nAnswer: 13168721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -143 + 293 - 148 + 0*p**3 - 21*p**3 - 20*p**2 in the form v*p + q + f*p**2 + u*p**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 30, 69, 112, 153, 186?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*h + 2*u - 3810, -2*u + 955 = h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 - q - 3. Let h(b) = 14*b**2 - 3*b - 8. Let f(v) = 3*h(v) - 8*t(v). Suppose 0 = 3*z + 5*x - 28, -2*z - 7 = z - 2*x. What is f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-249)\/83*1\/(-3)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, -1, -0.07, -2.1, -0.6, -0.3?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1604941 = 203*w - 257178. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99343 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 130?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 311. What is the tens digit of (-3)\/((-195)\/d - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -166 + 308 - 5899*j - 142 as m*j + a and give m.\nAnswer: -5899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/4 - 33039*o**2 - 2906343*o\/4 - 7991445\/2.\nAnswer: -3*(o + 11)**2*(o + 44030)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 1767?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -10052 (c) 0.031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1287166858 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7121, 7105, 7075, 7025, 6949, 6841?\nAnswer: 6695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - s + 1. Let r(j) = 6*j**2 - 3*j - 74. Let q be (4\/(-20))\/((-4)\/(-10))*2. Let d(w) = q*r(w) + 3*o(w). Differentiate d(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.332 + 0.832. What is the third biggest value in q, -3\/4, -52, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101.827 - 0.173. Let t = f + 102.86. Let l = 0.14 + t. Which is the closest to l? (a) 0.1 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1264 + -1259. Which is the third smallest value? (a) -4 (b) m (c) 1 (d) 0.061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 110, 274, 560, 968, 1498, 2150, 2924?\n\"Answer: 61*a**2 - 19*a + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 14, e: 1}. What is prob of picking 1 e and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164 (base 10) to base 3.\nAnswer: 20002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 70 = -2*z + 75, -5*z = -4*y - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24320 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 133444.8 micrometers in centimeters?\nAnswer: 13.34448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 5 - (-260 + 228)) + -12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10741 is divided by 48?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4313 to two decimal places.\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133501570 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: Let i(j) be the second derivative of -j**3\/6 + 9*j**2\/2 - 2*j. Let n = 2 - 2. Is 9 a factor of i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3033888 and 16?\nAnswer: 3033888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5403638 - 2?\nAnswer: -5403640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 3. Let x be r(0). Suppose 0 = 4*a - 6 - 2. Suppose 4*f - 6 = a*f. Solve 3*u = f*q - u - 21, 0 = -x*q - 3*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z\/(z**(-1\/8)\/z))\/z*z)\/(z*z\/(z**(-4)*z)*z))**(-1)*(z**(2\/5)\/z**(-2\/5))\/(z**(1\/2)\/(z*z*z**(-1\/3)*z*z)) assuming z is positive.\nAnswer: z**(701\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 534, 691, 718, 573?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6827892195.\nAnswer: 3, 5, 1657, 274709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 26. Let k be h(-8). Suppose 5*c + 5 = 0, 11*w = k*w + 2*c + 29. Let a(n) = -2*n - 11. Determine a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/20*(-4)\/(-72)*-2. Let b = 13.6 - -4.4. Let y = b - 18. Which is greater: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 5, -3.\nAnswer: -47, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33162 - 99890 = -37*t. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 6*g**2 + 5*g + 4. Let p be d(-5). Suppose -4*w + 80 = -p. Let z = w - 13. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7398 + -80.3498. Let k = g + -0.39. Let d = k + 79.9999963. Round d to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 0. Suppose 7*j - 6*j - 10 = d. Solve j = -0*s - 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 3:04 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Let t(o) be the first derivative of o**3\/3 + o + 1. Let g(p) be the first derivative of t(p). Calculate g(z(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m + 962 = -26*m - 61*m for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(16\/14) + 4)*6. Solve 5 - 21 = -d*k - 2*i, -5*i + 21 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*o**2 + 18*o**2 - 50*o**2)*(40 + 4*o**2 - 790*o + 791*o - 2*o**2) in the form m + d*o**3 + n*o**4 + g*o**2 + z*o and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164*f + 74*f + 78*f)*(-2 + 0 + 6 + 0).\nAnswer: 1264*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035689?\nAnswer: 139, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 148505*d\/6 + 24751\/2.\nAnswer: -(d - 74253)*(2*d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 - 1 = 0, -2*y = j - 1. Suppose -3*n = -4*o + y, -n + 6*n - 8 = -3*o. Find the common denominator of 47\/5 and -8*3\/(-33)*n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6.2. Which is the nearest to k? (a) 3 (b) -0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -236, -355, -474?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(-2 + (sqrt(110) + (-2*-5*sqrt(110) - sqrt(110)))\/(sqrt(480)\/sqrt(12)))**2 + 2).\nAnswer: -1393 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391058 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59235378 is divided by 705183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 391, 0, 1\/71, -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-27))\/((15\/162)\/(-5)). Let d be 28\/(-504) + 182\/p. Solve 0 = -n - 5*y + 19, -d*n + 4*y = 32 - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v - 10. Suppose 5*b + 3*i - 365 = 7*i, -b = -2*i - 73. Suppose -2*z - 5*x = -121, v*z = 4*z - 5*x + b. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c + 14858 = 7*c. What is the highest common factor of c and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2105 and 57699313.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:59 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -174.1 and 1.\nAnswer: -173.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -3. Suppose -33 = -3*i + 198. What is the highest common divisor of i and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 5 (b) 1 (c) 2\/7 (d) -99168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.5 (c) 218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + a**2 + 5 - 2*a**3 - 1 - 3 to f*a**2 + t*a**3 + s*a + h*a**4 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117.7 - -119.7. Let o = -8.5 + 9. Which is the closest to 0.4? (a) o (b) 2\/11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 5:15 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65455 and 5?\nAnswer: 65450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 80779*b**2\/4 - 60589*b - 201955.\nAnswer: (b - 5)*(b + 2)*(b + 80782)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*s + 13*s - 1029 = -182. Sort -2, -0.4, -2\/19, 1\/2, s.\nAnswer: -2, -0.4, -2\/19, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 359*3.78\nAnswer: 1357.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 833. Let b(j) = j + 429. Calculate 5*b(a) - 3*m(a).\nAnswer: 5*a - 354","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4938 + -3449. Let h = s - 746. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 31*a = -4*s - 16, 2*s + 2*a + 11 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 27\/50 - 1\/25. Factor x*k**2 + 1\/2*k + 0.\nAnswer: k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20506233 (base 7) in base 14?\nAnswer: 331953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.89 + -2.99. What is the closest to 1 in -4\/5, p, -0.5, -9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + 1.5. Let v = -2.3 + s. Put 1\/2, v, 0.3 in decreasing order.\nAnswer: 1\/2, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l + 2*w + 127, 5*l - 5*w = -155. Let r = l - -107\/4. What is the smallest value in r, -2\/9, 8\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 9*m - 5. Let p be b(-10). Suppose -v = -p*v + 144. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 350 - 350 + 21*q**2 + (0*q**2 + q**2 + q**2)*(3 - 4 + 3) + (0*q + 2*q + q)*(-4*q + 4*q - q) as u*q + i + r*q**2 and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67.6 - -70.62. Let w = 2.52 - t. What is the fourth biggest value in 6, w, 1, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/69*((-15)\/12 + 2)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -34. Solve -2*m + 3*m = -f, -w + 2*m = -8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390984 and 1848.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 26340033.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqqqqwcqcqqqwcwqqqq. Give prob of picking 1 c, 1 w, and 1 q.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 155101036819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528952761.\nAnswer: 7, 23, 29, 327469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -62*g - 1798. Let i be r(-29). Suppose -4*a - 5 = -21. Solve 4*y + a = -i*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (-84)\/(-7))\/(-11) - 6\/33.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 34*o = 54. Suppose 0 = 3*z - 0*z - o. Solve 3*f = -s - 17, 2*f = -z*s + 4*f + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 14*l - 8. Let m be d(-12). Suppose -73 = 7*s - m. What is the highest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147278488*f**2 + 230507292*f wrt f.\nAnswer: 294556976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*j = -154*j - 13056. What is the remainder when j is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 + 1. Let y be b(-2). Let q(i) be the first derivative of 30 - 6*i + 0*i**2 + 1\/3*i**3. Let v(u) = 3*u**2 - 17. Determine y*q(s) - 6*v(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdppddwddwpdpdppd. What is prob of sequence dwdd?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-14) + 28730\/119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 32 + 16 + 3036*c**2 + 8.\nAnswer: 3036*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(10 + 50) + 81\/180.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 19, 45, 101, 199, 351, 569?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a*j*w**3 - 2*a*j*w - 1070*a*w**3 - 35*j - 2*w - 1 wrt w?\nAnswer: 24*a*j*w - 6420*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 68*j - 70*j. What is the remainder when 424 is divided by (j - 15)\/4 + (59 - -5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 + 96*c + 27. Let m be p(24). Let x(g) = -4*g + 13. Let a be x(-8). What is the greatest common divisor of a and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -2\/3, 0.2 in decreasing order.\nAnswer: 0.2, -2\/3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h - 88. Let z be w(13). Suppose z*a = -3*b + 27, -3*b = b - 5*a + 9. Factor -3\/2 + 4\/3*g**2 + 1\/6*g**b + g**3 - g.\nAnswer: (g - 1)*(g + 1)*(g + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q - 5310 = -40*q. List the prime factors of q.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - 5204 = -3*k, 0 = -3*k + 3*d + 5208. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*p + 358*p**2 - 81*p - 462*p**2 as h*p + j*p**2 + b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or -142?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048251 rounded to four dps?\nAnswer: 0.0483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8093849 litres in millilitres?\nAnswer: 809.3849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -448\/2706007 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8\/l**(3\/2))\/((l*l\/l**(-1\/4)*l)\/l*l)**(-3\/28))\/(l**(3\/5)*l**5*(l\/(l*(l**(2\/7)\/l)\/l*l)*l)**(-2\/5)) assuming l is positive.\nAnswer: l**(1083\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*x - 48*x - 176. What is the nearest to x in -1, 0.2, -1\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 6 = 3*i. Let m be (-4)\/10 - i\/(-5). Let y(g) = 0 - 1 + 0 + m*g - g. Determine y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-168)\/(-14) + (-2 - 1). Find the common denominator of (428\/6)\/(w - -3) and (-408)\/64*(-10)\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -401, -826, -1285, -1790, -2353?\n\"Answer: -2*x**3 + x**2 - 392*x + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 1:06 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283093 is divided by 307?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.564711 rounded to 2 decimal places?\nAnswer: -4.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 55. Let w(i) = -14 + c*i**2 - 2*i**2 + 13 + 47*i**3 + i. Is w(1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/19*(-111)\/222\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269*z + 91*z + 352*z + 91*z)*(-1 + 1 - 1).\nAnswer: -265*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2627347 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(245) - sqrt(245)) + -3 + (sqrt(245) - sqrt(245)*3 - sqrt(245))*-3)*-3)**2.\nAnswer: -3402*sqrt(5) + 178686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1940a40 - -15?\nAnswer: -1940a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -564802.\nAnswer: -2\/282401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976278.8 plus -5?\nAnswer: 2976273.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, -0.06, -2\/7, -1, -4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -238770*d + 830. Let g be z(-11). What is g rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.6, 1193, 5, 191?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 6*l - 3*l)*(53 + 45 - 267)*(2 + 1 - 4)*(-5 + 4 + 5).\nAnswer: 2028*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-230)\/50 - -5)\/(2\/(-80)). What is the tens digit of 307*-2*p\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 378, -2\/9 in decreasing order.\nAnswer: 378, 11, 4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 837779832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 171.59\nAnswer: -2745.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**3 + r**2 + 7*r + 7. Is n(-4) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*b - 2, -6*b = -10*b - 5*x + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127769, 255825, 383881?\nAnswer: 511937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k**2 - 34*k**2 + 18*k**2 - 181*k**2 - 149*k**2 + 8*k**2.\nAnswer: -370*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, -260, -735, -1400?\n\"Answer: -95*b**2 + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -14*h**4\/17 + 109596*h**3\/17 - 359906*h**2\/17 - 344316*h\/17 + 125200\/17 = 0.\nAnswer: -1, 2\/7, 4, 7825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 100*g**3\/7 - 132460*g**2\/7 - 52996*g\/7 - 5300\/7 = 0?\nAnswer: -1\/5, 1325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*f**2 + f**2 + 3*f**2 + 7*f**4 - 6*f**2 - 2*f**2 - 2*f in the form u*f**4 + i*f**2 + x*f + t*f**3 + o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 1. Give v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 10 = 0. Let n be (-5 - -3) + (160 - -1). Suppose n = b + w*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -4)\/(2\/10). Let x(q) = 87 - d*q**2 - 87. Let j(c) = -c. Give x(j(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**2\/2 - 7*h - 10. Let c be r(-10). Suppose -3*a + 672 = c*a. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 618 - 592 = 0. Let c = 5601 - 5579. What is the highest common factor of c and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 44*y**2. Let j(n) = -5*n**2. Determine 28*j(c) + 3*r(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 211. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1352 = 2*v, w + 223 = v + 893. Let n = -105 - v. What is the greatest common factor of 102 and n?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -171a9 - -34a?\nAnswer: -16c5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*v + 2*x, -140*v = -136*v + 3*x - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17732 bigger than 17732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:45 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**2 + 2*h**5 - h**2 + 0*h**2 - 7*h**5 wrt h?\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*u - 125*p + 123*p, -4*u - p = -93. Solve -131*x + 127*x + 4*d - u = 0, 2*d = 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 31 = -7. Suppose 0 = 2*l - 4*l + o. Let q = -4 + l. Solve -q*d + 4*d - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/2915 (b) -23 (c) 15 (d) -0.3 (e) 4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqgdgkqeddddgbdddd. Give prob of sequence dgbe.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrryyfrry. What is prob of picking 1 y and 1 f?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 10)*(9 + -4). Suppose -9*b = -1065 + 4170. Let f = b + 350. Calculate the highest common divisor of f and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11953212 is divided by 28325.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280)\/6650*(-15)\/(-6).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 10 = 0. Suppose -2*c = 5*w + 123, -4*c = -4*w - 19 - 85. Let k(m) = m**3 + 24*m**2 - 24*m + 34. Let l be k(w). Is x at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, q: 12}. Give prob of picking 3 g.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 0*f - 6 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, s: 6, m: 1, v: 2}. Give prob of picking 3 s and 1 m.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330 (base 6) to base 13.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + p**2)*((-3*p + p**2 + 3*p)*(-1 - 3 + 6) + 0*p**2 + 2*p**2 + 2*p**2 - 4*p**2 + 0*p**2 + 2*p**2).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120146 and 1066.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o + 15. Suppose -2*c = -76*k + 80*k + 16, -3*k + 14 = -5*c. Give m(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n. Let r(z) be the first derivative of z**3\/3 - 21. What is r(g(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(65) + sqrt(65)*2 + sqrt(65))\/sqrt(5) + ((2 + sqrt(13))*-3)**2 + -3.\nAnswer: 150 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1746420 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7365.\nAnswer: 3, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424680 divided by -4.\nAnswer: 106170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = a + 1833, 1527 = -4*h + 5*a - 276. Let l = 484 + h. What is the remainder when 188 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - k - 49 = -121, -4*m + 13*k + 5*k + 56 = 15*k for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0583 rounded to three dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 10*y - 3. Suppose 37 - 9 = 4*b. Give z(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 2*u**4 - u**3\/3 + 3*u**2 + 17*u + 191. What is the tens digit of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -18*w**3 + 2*w**2 - 6*w - 3. Let z(p) = -2*p - 2. Let t be z(0). Let q be j(t). Suppose -337 = -3*f + q. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*k - 12 = 0, -4*k - 17 - 3 = 0. Let p be ((-2)\/4 - r)\/(80\/(-192)). Are p and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let f(u) = 534*u. Determine f(h(v)).\nAnswer: -534*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775802.\nAnswer: 2, 3, 7, 42281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*m - 3, -2*u + 2*m + 14 = -0. Factor 2\/7*j**2 + 0*j + 0 + 2\/7*j**u + 4\/7*j**3.\nAnswer: 2*j**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329292 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1634691 = -276*j + 1024654 + 1342379. List the prime factors of j.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -36402*u + 72749*u - 36368*u. Let v(m) = -5*m - 1. Give q(v(j)).\nAnswer: 105*j + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 81*53\/1431 + 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24163 is divided by 322.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s + 3*n - 97 = 0, n = 3*s - 61. Suppose -d - 4*d + s = 0. Let o(h) = h**3 - 2*h**2 - h - 5. What are the prime factors of o(d)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11 and 10468760981.\nAnswer: 10468760980.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.2 - -20.2. Let k(f) = 2*f - 9. Let s(x) = -x**2 - 7*x - 4. Let a be s(-5). Let n be k(a). Sort t, -2\/3, -3, n.\nAnswer: t, -3, -2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541356.\nAnswer: 2, 3, 197, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-2*n + 4*n - 3*n) + 6662 - 99*n - 6662 + n - 5*n + 3*n + 0*n - 4*n + 2*n.\nAnswer: -100*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -22*n**2. Let f(m) = 210*m**2 + 1. What is b(f(l))?\nAnswer: -970200*l**4 - 9240*l**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 73002990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 76 = 3*i, 4*u + 315*i - 318*i = -74 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 5*k**7\/168 - 2*k**6\/3 + 25*k**5\/8 - 25*k**4\/12 - 85*k**3\/8 + 45*k**2\/2 - 314*k + 2. Let g(z) = 0. What is z?\nAnswer: -1, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 131443 = -2*x - 131428, 0 = 5*x - 7*s - 42 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88732, 88502, 88118, 87580, 86888, 86042?\nAnswer: 85042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -45, -95, -165, -255, -365, -495?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*w - 110. Suppose 0 = n - w - 44. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from ssssspssssspssssapss.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuwu when four letters picked without replacement from {y: 1, z: 1, u: 2, b: 2, m: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -7 + 26 + 63.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70*(3\/2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570710, -1141384, -1712054, -2282720?\nAnswer: -2853382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/45 and -76\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*a - 29*a - 58*a - 296 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7308*i. Let h(w) = 37*w**2. Calculate h(n(z)).\nAnswer: 1976053968*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:31 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j. Let c(p) = 8*p + 2. Let t be c(3). Let z(f) = f + t - 26 + f. Determine z(k(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3528, -3541, -3560, -3585?\n\"Answer: -3*w**2 - 4*w - 3521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*d**3*n + 9137*d**2*n - 28*d**2 - 3*n + 42831391 wrt d?\nAnswer: -33*d**2*n + 18274*d*n - 56*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/15)*d**(6\/13)*d**(2\/23)\/d*d*(d**(-21)*d*d*d*d)\/d assuming d is positive.\nAnswer: d**(-77672\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide (-4 - 3114)*2\/8*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 1, j: 1, o: 1, b: 1}. What is prob of sequence onm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hioncnchoonn. Give prob of picking 2 h and 1 o.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 3:41 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.584 - 29.784. Which is the closest to 0.049? (a) -19 (b) -2\/9 (c) -5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**4 + 2*y**4 + 4*y**2 + 2*y - 129 + 0*y + 131 to the form n*y**4 + l*y + g + w*y**2 + o*y**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((3 - (9 - (1 - -5))) + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) - 435\/(-270). Solve -h*r + 4\/9 + 8\/9*r**2 - 2\/9*r**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113536\/27 + -4206. What is the common denominator of (5\/((-180)\/46))\/(2\/(-10)) and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 53, -6633 in ascending order.\nAnswer: -6633, 3, 6, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/9)\/j)**(-2\/3)\/(j**1\/j**(-21)) assuming j is positive.\nAnswer: j**(-574\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104278 and 1597907.\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 18*d - 35 = 5*z, d - 2*z - 14 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 316*s - 6. Let o(b) = 3062*b. What is n(o(z))?\nAnswer: 967592*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -600, 2, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.3 + -2.8. What is the nearest to -0.2 in h, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 57 = 5*w. Let m = w + 81. Let r be (-9)\/2*(-16)\/m. Solve -2 = -r*n + 5*n, -2*n = -3*v - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 5 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4205*f + 4176*f = 8570*f - 16632 for f.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 2\/1003 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 5, m: 4, f: 10}. Give prob of sequence jjjm.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7890 + 4?\nAnswer: 7894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*l + 85*l = -2088. What are the prime factors of l?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.16.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/109013 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 133 = 33. What are the prime factors of (25260\/(-150))\/((-4)\/s)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**2 + 252*r + 5056 = 0?\nAnswer: -16, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.35 + 0.55. Let u = 0.2 + -0.1. What is the second biggest value in u, c, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31\/1083194 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1271993, 5087979, 11447959, 20351933, 31799901, 45791863, 62327819?\n\"Answer: 1271997*b**2 - 5*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -541 + -1304145?\nAnswer: -1305016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43201 (base 5) to base 8.\nAnswer: 5556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 2, e: 1}. What is prob of picking 1 r and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 11 - 4 = 0. Let z be (-285)\/(-20) - 1\/4. Suppose -16*x = -z*x - 30. Solve -x = -m*l + 4*h, 0*l - l + h + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205.3 + -209.3. Sort k, -2, -9\/13, 2\/3.\nAnswer: k, -2, -9\/13, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.622 in -1\/7, 2\/1089, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -368, -377, -384, -389, -392, -393, -392?\n\"Answer: j**2 - 12*j - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*d - 502, -4*d + 1029 = -0*h - h. Calculate the smallest common multiple of d and 14.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07277 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/2 + 8. Let y be (15\/9)\/(-5) - (9 + 590\/(-60)). What is the nearest to y in -17, u, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*m**3 + 42*m**3 + 86 + 33*m**3 - 86.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6670985*k**2 + 6670990*k**2 + 17*k**3 - 13341975*k**2.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -53*k**2 + 3*k + 3. Let f be w(-2). Let l = f - -95. Is ((-3)\/9)\/(2\/l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:24 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 42*l - 2 - 9*l)*(-1 + 0 + 2)*(2 + 40 - 7).\nAnswer: 1155*l + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-8 - -22 - 18)) + -11 + -3\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*w + 4*w - 3*w)*(-5*w + 3*w + 0*w) + 127*w**2 + 201*w**2 - 186*w**2)*(6*w**2 - 3*w**2 - 4*w**2)*(2 + 1 - 1) + 4*w**4 - 2*w**4 - 3*w**4.\nAnswer: -293*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.4. Let j = 4.25 - 8.25. Which is the smallest value? (a) 3 (b) t (c) -0.1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 903*s**3*y - 3146*s**3 - 3*s**2*y - 144*s*y - 2*s + 2692*y - 24 wrt s?\nAnswer: 5418*s*y - 18876*s - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7587*y + 2508 = 7473*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 greater than 1145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 5468.\nAnswer: 27340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*c - 5. Suppose -2*f - f = 9, -13 = j + c*f. Factor -j - 2*d + 2*d**3 + 2.\nAnswer: 2*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 1050552a?\nAnswer: 10505533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*o**2 - 230*o**3 - 303*o**2 - 33*o**2 - 856*o**3 - 201*o**3 wrt o.\nAnswer: -7722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*m + 2, j = 2*j + 4*m + 6. Determine g, given that 0 + 12*g**j - 36*g + 4 + 69*g**2 = 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -3*z - 1, 65*z - 60*z + 7*b = -3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0508 + -4.9492. Let d be 1 + (0 - 0 - -4). Which is the closest to 1? (a) d (b) 2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 0, -7*k - z + 1764 = -4*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10463, -20936, -31395, -41834, -52247, -62628, -72971?\n\"Answer: s**3 + s**2 - 10483*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/5 - 14*t**3\/5 - 13*t**2\/5 = 0. What is t?\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45815 = -1087*g - 624*g + 402*g for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r - 10*r - r - 2 + 3*r to y*r + c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1935549*f**3 - 1822387 with respect to f.\nAnswer: 5806647*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-1*-2)**2 - ((sqrt(704) - (sqrt(704) + sqrt(704)*-3)) + 3)**2)*-3*-1.\nAnswer: -10587 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 9*h**2 - 6*h + 17. Let i(l) = -3*l**3 - 19*l**2 + 13*l - 35. Let g(a) = 2*i(a) + 5*p(a). List the prime factors of g(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 5*n**4\/24 - n**2. Let z(v) = -v**3 + 6*v**2 - 5*v + 2. Let r be z(5). Let q(b) = -2*b**r + 3*b - 4*b + b. Calculate q(p(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 290689.\nAnswer: 436033.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-36) - (-3520)\/(-576))*-5 - 63\/(-21)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -3\/5, 0.15, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 95675782469*g - 3 + 95675782480*g.\nAnswer: 11*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 260179064 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 14*y + 127. Let a(z) = 8*z + 64. Let o(v) = -7*a(v) + 3*m(v). What is the remainder when o(-6) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-45)*10*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 9) in base 6?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -0.2 (b) -7 (c) -2383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:16 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96115194 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 2*h**2 - 2 + 9*h + 0*h**2. Let d be f(8). Suppose -2*r = -d*r + 4. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from ppkugpggngjpgp?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54147, -108563, -162979, -217395?\n\"Answer: -54416*s + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 198 + 231. Let o = w + -422. What is the least common multiple of 12 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51579, 51580, 51571, 51546, 51499, 51424, 51315, 51166?\nAnswer: 50971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111 or -110?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71814359 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3*j - 830*i**3 - i**2*j**2 - 119*i*j**2 + 481*i*j wrt i?\nAnswer: 18*i*j - 4980*i - 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85.3 - 91. Let s = o - 14.3. Let z be 0 - 2*(-2)\/24. Which is the second smallest value? (a) 3 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 0.1378298\nAnswer: 21.1378298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (322\/21)\/((-4)\/(-7848)*3) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 - 5.829538.\nAnswer: -3.229538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7151 + -7083. What is the nearest to 3 in -0.4, 1\/4, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - 7.11. Let y(x) = -x**2 + 900*x - 15010. Let n be y(17). Let p be ((-6)\/4)\/(30\/8). Which is the nearest to 1? (a) p (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122.4 * -12742\nAnswer: 1559620.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 19. Let l be (-16)\/(-6)*x\/4. Put l, -5, 2 in increasing order.\nAnswer: -5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 14*z - 16. Let m be q(-15). Let t be (-19 + 21)*(m + -6). Let r = -7 - t. What is the remainder when 47 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.3 times -1?\nAnswer: -183.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*y = 0, -y = -5*h + 13 - 0. Put 5, 16, h in ascending order.\nAnswer: h, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 3)*2 + 5. Find the second derivative of -3 - 6*s**3 + 3 + 11*s**r + 5*s wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 15?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 - 10*y**2 - 11*y**2 + y**2. Let x(a) = -a. Calculate t(x(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 7. Let l be y(-4). Suppose 4*p + 41722 = -4*x - p, -l*x = 5*p + 52150. Let z = 88428 + x. Round z to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 0*j + 0*j - j**2. Let x(l) = l**2 - 5*l**2 + 2*l**2 + l**2. Calculate x(b(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1708525 and 28?\nAnswer: 6834100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.054, 1\/5, 2?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 4. Give z(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((2 - 0) + 2 + -8 + (-50 - 16))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 141, 481, 973, 1611, 2389, 3301, 4341?\n\"Answer: -o**3 + 82*o**2 + 101*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34632748 is divided by 1514?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1004.501 hours?\nAnswer: 3616203600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 + -1 + 0)*-1. Let s = -77 - -67. Let d = s + a. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let w(o) = o**2 + 6*o + 6. Let p(g) = 3*g**2 + 17*g + 17. Suppose -12 = 2*c - 0. Let d(a) = c*p(a) + 17*w(a). Determine m(d(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1015.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 23*a. Let g(m) = m. Give s(g(c)).\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 100. List the prime factors of 1391\/3 - b\/(-36).\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 4:20 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/((2 - 3)*-1). Let n = -46 + y. Let i be (n\/6)\/(98\/(-33) + 3). What is the highest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10)*45\/240*-16\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 254297.4nm?\nAnswer: 0.2542974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -753.87 + -17.13. Let t = 771.0517 + a. Round t to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5083463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 0.1\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 1641?\nAnswer: 820.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 831\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2698024 is divided by 2021.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(8\/19) assuming t is positive.\nAnswer: t**(-16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 60, 7 in increasing order.\nAnswer: 2, 7, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -3 (b) -1290 (c) 1.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-42) - 2)\/(1 + -2 - (-10)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 978592333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 18. What is i(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 - 170*l**2 - 81*l - 437. Give w(43).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + g + 71 = -4*x, 49105*g = 49100*g + 5*x + 70 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.015 and 0.91.\nAnswer: 0.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5934623m to nanometers.\nAnswer: 593462300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 3*p - p)*(0*p + 4*p - 2*p)*(-14*p**2 + 15*p**2 - 7*p**2).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:43 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2562 = 6*m + 2280. Suppose x = -5*y - 2742, 0*x - 1090 = 2*y - 3*x. Let l = y - m. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2318303 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 762*a**3*h**3 + 59*a**3*h**2 + 47*a**3*h + 2*a**2*h**3 + 5*a**2*h**2 + 76*a**2*h - 3*a*h + 8*h**3 + 5*h**2 wrt a?\nAnswer: 4572*h**3 + 354*h**2 + 282*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*s*y**4 - s*y**3 + 133*s*y**2 + y**4 + 1 wrt y.\nAnswer: -1104*s*y - 6*s + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3\/4 (b) -1 (c) 11\/5 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/11)*c**(1\/6))**(-4\/5))**(-8\/3))**44 assuming c is positive.\nAnswer: c**(1088\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*d - 2235725 = 0, 193314 = r - 3*d - 253844. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892 = -2*z + 6*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.326 + 448486\nAnswer: 448482.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 + 1.7. What is the closest to -1 in -0.2, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 - 17*j**2 + 11*j**2.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2 + 23512*q + 70572 = 0. Calculate q.\nAnswer: -3, 5881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27590*o**3 - 56416*o**3 + 28200*o**3.\nAnswer: -626*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 20 = -4*n, -27*g + 29*g + 4*n = -20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(30)\/sqrt(3))\/sqrt(2)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97543 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 5*i - 4. Let q be ((-9)\/(-6))\/((-6)\/(-12)). Calculate w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1570181 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/3 - (-432)\/48 - (-72)\/(-12). What is b in -1\/3*b + y*b**2 - 1\/3 + 1\/3*b**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300.612 microseconds to nanoseconds.\nAnswer: 1300612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/4 + 5*z**3\/3 - 2109. Suppose a + 0*a = 2. Suppose 2 = a*l - 4. Give h(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/768 and 59\/455040?\nAnswer: 910080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-56))\/((3\/18)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 966*i**4 - 100*i**2 - 4*i wrt i?\nAnswer: 23184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -318.843 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 269.\nAnswer: 5\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 33 + v**3 - v - 1405*v**2 - 138 - 1406*v**2 + 2820*v**2. What is x(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 40*p**2 - 32*p + 80. What are the prime factors of r(33)?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 74 = 5*t - 10*t, -4*t + 4*l = -76. What are the prime factors of (-4)\/((t\/14)\/(-4))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 2. Let k be d(0). Suppose k*l = 4*l. Suppose l = 7*p - 4*p - 42. What is the highest common divisor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -42*x. Let m(j) = -12*j**2 + 5*j - 5. Let b(n) = 7*n**2 - 3*n + 3. Let a(v) = -5*b(v) - 3*m(v). Determine f(a(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*l - 26355 = 0, -1708 = -2*y + 3*l + 11471. Calculate the highest common factor of y and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4*(-511722)\/48)\/((-24)\/(-112)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50323 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*h + 64, 4*u + 14*h = 16*h - 68. Let r(d) = 2*d**2 + 44*d + 30. What is r(u)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -704270, -2817064, -6338388, -11268242, -17606626, -25353540, -34508984?\nAnswer: -45072958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6420504 plus -1649?\nAnswer: 6418855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4) - (3 - 4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -729a7 (base 11) to base 8.\nAnswer: -317563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2\/(-10) + 1968\/240. Suppose 0 = -g*i + 636 + 196. Calculate the least common multiple of i and 32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**(-3)*(d**(-7)*d)**(-3\/11) assuming d is positive.\nAnswer: d**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k**(-1\/13)*k)\/k*k)*k**(2\/9)*k*(k*(k*k**0*k)\/k)\/(k*(k\/((k*k**(-5\/8))\/k))\/k) assuming k is positive.\nAnswer: k**(1567\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/4 + x**3\/3 - 6*x - 4. Let z be y(-6). Let d = -89 - z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102239137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a - 2. Let d(r) = -r**3 - 1. Let q = -762 + 763. Let x(g) = g**3 + 9. Let u(l) = a*d(l) + q*x(l). What is the first derivative of u(z) wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 0)*(-3 + 3 - 3*t**2) - 1 + t**2 + 1 + 619 - 1240 - 80*t**2 + 622)*(-5 + 0 + 3).\nAnswer: 140*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0174 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 143358897 - -0.5\nAnswer: 143358897.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7736, 7685, 7634, 7583, 7532?\n\"Answer: -51*f + 7787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 704988108 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 10*h**2 - h - 3. Let r be o(-10). Suppose a - r = -0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 9. Let w(m) = -1 + 4*m**2 - m**3 + 0 + m + 2*m**3. Let l be w(o). Solve 3*r = l*r + v, -5*v = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 - 4 = 0. Suppose 15 = -5*r - 5*a, 2*r - 4*r + 3*a + 9 = x. What is the third biggest value in -2\/3, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ac7686 - 2?\nAnswer: -ac7688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/4 (c) -2\/111 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-8)*((-2)\/136)\/((-534)\/4272)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z - 23. Let v be f(-7). Let c(b) = 3*b**2 - b + 4. What are the prime factors of c(v)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*k**3 - 690*k**3 - 2 - 3055*k + 111*k.\nAnswer: k**3 - 2944*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 14476 - 7751 = 0. What are the prime factors of y?\nAnswer: 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -v + 5900, -3*h - 15*v = -17*v - 5885. Which is smaller: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 397280294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/17 + 5966*g**3\/17 - 180330*g**2\/17 + 1355850*g\/17.\nAnswer: 2*g*(g - 15)**2*(g + 3013)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6145785 is divided by 3072879.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.3, -1\/2, 1, 1569\/4, -2\/17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 1, j: 5, k: 1, z: 2, f: 1, g: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -681146271 divided by -1391\nAnswer: 489681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -579337.37 minus 4?\nAnswer: -579341.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -44. Let s(p) = 6*p**2 + 20*p - 8. Let b(w) = -2*w**2 - 7*w + 3. Let n(o) = l*s(o) - 8*b(o). Factor n(r).\nAnswer: -2*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.84 - -1.2. Let b = 0.23 + c. Let w = b + -15.09. What is w rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (44\/(-55))\/(2\/(-10)). Is 27 a factor of (27*-2)\/(-5 + a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235 divided by 184\nAnswer: -235\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*y + 42 = 0, 2*r + 5*y = 4 + 17. Put 0, 7, r in descending order.\nAnswer: r, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*w + 118. Let y be (7 + -11)*78\/w. Let s = y + -355\/18. Is 1 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(9\/2)*l**(2\/17))\/((l**17\/l)\/(l\/l**(-4))))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1586*c + 37004 = 948*c for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {v: 3, t: 9, w: 2, u: 1, c: 3}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7355 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 3:11 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*g + 8 + 19*g + 29*g)*(0*g - 3*g - 2*g + (1 + 4 - 3)*(-3*g + 0*g + g)) as k*g + m*g**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 1. Let w(u) = -u**2 - 1. Let r(v) = -139*v - 2223. Let p be r(-16). Give p*f(c) + 6*w(c).\nAnswer: -5*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.0245 rounded to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*p + 86654 + 24036 = -3202*p - 37315 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*g**2 - 30*g + 8*g**4 - 422*g + 25*g**2 - 7*g**5 wrt g.\nAnswer: -140*g**3 + 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (5\/1 - 1). Let v be 0 + -3 + 5 - (1 + 0). Let b be -1*1*-1*-1. Put b, v, w in decreasing order.\nAnswer: v, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a hour in seconds?\nAnswer: 51120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 172420 divided by -4\nAnswer: -43105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 17 = w - u, -2*w + 16 = -2*u. Suppose 4*i + 6*s - w*s - 415 = 0, -2*s - 112 = -i. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*o - 28*o + 17. Solve -i + 11 = 3*u, -2*i + o = 4*u + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.89393 + 0.10607. Sort l, 0.1, 6\/1087 in descending order.\nAnswer: l, 0.1, 6\/1087","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.032 * 4474\nAnswer: 143.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766014.2 micrograms to grams.\nAnswer: 0.7660142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 12. Let h(m) = -m**2 + 5*m - 6. Let k be h(f). Let z(d) = 4*d + 1. What is z(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 394072 and 3656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r + 14*r**2 - 18*r + 34*r)*(11*r - r - 3*r).\nAnswer: 98*r**3 - 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3632 - -1.6368. What is the nearest to -2\/7 in -1\/2, -4, -29.4, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*s = 138, -3*s + 2*s + 69 = -22*r - 0*r + 3*s + s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.08875 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*q - 19, -4*o - 4*q + 5*q + 13 = 0. Is (-8 + 4)\/(-8) - (-2674)\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 372 - 443. Let s = 861 - b. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**2 + 54*a - 549. Let v be s(9). What is the greatest common factor of 592 and v?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196\/3*q**4 + 8 + 1228\/3*q**2 - 340\/3*q - 140\/3*q**3 = 0 for q.\nAnswer: -3, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4476081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 + -37. What is the highest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 294*w**2 - 1. Suppose x - 1 = 2. Suppose 6*t = 3*t + x. Is c(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 0)*(-4 - 1). Is 11 a factor of ((-6)\/10 - 1)*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = c - 0*k - 116 + 146, -5*c - 5*k + 70 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0, -1.5752, 1\/4, -1\/2, -4 in increasing order.\nAnswer: -4, -1.5752, -1\/2, 0, 1\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110000001 - -10?\nAnswer: -11101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307*v**4 + 836*v**3 + 41*v**2 - 51579983*v?\nAnswer: 3684*v**2 + 5016*v + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 43 + (-2 - 4) - (-24 + 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -44a0?\nAnswer: 44a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22032*i**2*n*w - 6*i**2*n - 2*n*w - 185*n wrt w.\nAnswer: -22032*i**2*n - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17020034?\nAnswer: 2, 8510017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 463453163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 10*v**2 - 19*v + 165. Determine z(12).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) -1 (b) 5 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 13*i + 48. Is (0 - 30\/i)*(-162)\/(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21191 (base 10) to base 11.\nAnswer: -14a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.032 to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -401*y + 413*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75084*l*m**3 - 34736*m**3 - 2 wrt l.\nAnswer: 75084*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 17 = 3*f, -13*f + 95 = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3532586 - 3526296 = -185*a for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 5301)*((-9)\/(-3) - 2). Suppose -7750 = -7*j + u. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 10*w**2 - 19*w + 10. Let o be p(-7). Which is greater: o or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 109 and 61086\/557 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 29, 1, 47 in decreasing order.\nAnswer: 47, 29, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6865740 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(13) + 2).\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 250. Let v = 74 - i. What is the lowest common multiple of 15 and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/3 + 230*g\/3 - 233 = 0. What is g?\nAnswer: -233, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q + 3. Let w be n(-1). Which is bigger: -7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77716 is divided by 77013.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -6202.\nAnswer: 39\/6202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-33 - (19 + -48) - 33).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*y - a, 3*y - 15*a + 18*a - 15 = 0. Solve -214*b + 225*b - 44 = y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -60*j**3 - 60*j**2 + 85*j. Let c(o) = 3*o**2 + 5*o**3 - 7*o + o**2 + 2*o**2 - o**2. Let z(h) = 35*c(h) + 3*d(h). What is p in z(p) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 v when four letters picked without replacement from {k: 12, v: 6}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 - 44 + 18*k**2 + 4*k + 6*k**2 - 4*k - 2*k**2 - 1 + 1 + (-2 + 2 + 2)*(2*k**2 + 0 + 0) in the form n + u*k + l*k**2 and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/8, 7, -4, 73 in ascending order.\nAnswer: -4, 27\/8, 7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.111498 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 + -16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + -0.07. Let c = w + 0.17. Let b = c + -0.128. Round b to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c = 141 - 266 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 7941 in increasing order.\nAnswer: -1, 5, 7941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275 (base 8) to base 11.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 546.259301 + -0.03.\nAnswer: 546.229301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96088\/305 - -48\/305. Let c = k - 17071\/55. Calculate the common denominator of 249\/45*(-6)\/(-4) and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f - 2. Let h(s) = 9*s - 4. Let g(k) = 19*k - 9. Let m(r) = -2*g(r) + 5*h(r). Let v be (-9 - 1)\/(8 - 10). Give v*m(q) - 6*z(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11135.\nAnswer: 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -2\/47 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (33\/6 + -3)*4\/5. Solve 0 = l + d - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/882 and -22\/13587?\nAnswer: 570654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 - 25*t - 148. Let i be p(-6). Solve k - 3 = -i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + sqrt(396)*4)*2 - ((sqrt(396) + 1*sqrt(396))**2*-4 + sqrt(396)).\nAnswer: 54*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -227, -449, -769, -1193, -1727, -2377, -3149?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7)\/1*(-4)\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12030204 (base 6) to base 8\nAnswer: -1340574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2478592559 to 3 decimal places.\nAnswer: -0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 66, -303, 21 in descending order.\nAnswer: 66, 21, 5, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j + 48*j - 20*j - 19*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000145994 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 8*l + 3. Let y be u(-8). Suppose h - 46 = y*h. Let v = h + 48. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + o - 2)*(-5 + 2 + 2) + 1 - 1 - o + 0*o + 0*o + o + (3*o - 3*o + 2*o)*(1 + 2 - 1) - 2*o + 4*o + 0*o - 3*o + 4*o + 4*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 187 + 23?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 * -121.\nAnswer: -193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (495\/27)\/(-11)*-3*(-3)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 13*w**2 + w - 1. Let a(i) = 4*i**3 + 28*i**2 + 147*i + 4. Calculate a(k) + 2*m(k).\nAnswer: 2*k**3 + 2*k**2 + 149*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 27*w**2 - w - 1. Is 61 a factor of b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273443 to the power of 1\/2, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7709 - -7714. Solve m = -6*z - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9455 by 5.\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a day in minutes?\nAnswer: 5520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - -0.07. Which is the second smallest value? (a) -4 (b) w (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1293 and 8034702.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -372400 rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctaatatcatttaa. What is prob of sequence tact?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**5\/7 - 16*w**4\/7 - 76*w**3\/7 + 1040*w**2\/7 - 2950*w\/7 + 2000\/7 = 0.\nAnswer: -8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 28 = -32. Solve -2*s + u*s - 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 38 = 4*l, -4*i + 5*i = 3*l + 33. Find v, given that -48*v**4 + 40*v**2 - 22*v + 2*v - i*v**5 - 4*v + 34*v**3 = 0.\nAnswer: -3, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2976*x**2 + 1486*x**2 + 1491*x**2. Let r(f) = 275*f**2. What is z(r(v))?\nAnswer: 75625*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23426070 rounded to the nearest 1000?\nAnswer: 23426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-3 - (-3 + 1)). Solve -w = 3*o + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w)\/w**5)**(-3\/26)\/((w*w**(1\/2)\/w)**36)**14 assuming w is positive.\nAnswer: w**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452 - 95 = -87*y + 28*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 117\/5 + 12\/20. Suppose 4*k = 4*g + q, -2*g - 2*k = 12 + 4. Which is greater: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, v: 1, l: 8}. What is prob of sequence lvld?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1187 + 1247. What is the smallest common multiple of 150 and k?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 79, 121, 163, 205, 247?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63525 - -2731427\/43. Is n >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12924*b + 12928*b = -32 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, b: 1, r: 3, h: 1, w: 1}. What is prob of sequence ffbr?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5)\/(6\/15). Let u(q) be the first derivative of 0*q**5 - 1\/3*q**3 - w + 1\/6*q**6 + 0*q**4 + 0*q + 0*q**2. Find the third derivative of u(h) wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = 5*s - 2*h - 169, -5*s = -4*h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.012 and 82.\nAnswer: -0.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*s - 1028499 = -3667995 - 1049702. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 322 - 139 - 183 - 3930*c in the form n + g*c and give g.\nAnswer: -3930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*x = -0*t + 18, -14 = -3*t + 2*x. What is the tens digit of 1 - (t + -6) - -232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -438 and -434 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + -2 + -3 + -4 + 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-14)\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 129642714?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328854, -657702, -986550?\nAnswer: -1315398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-30) + 118\/6. Let p = v - 17. Let o(x) = -2*x**2 + 2*x + 2. Give o(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*b + 4 = 2*o + 133*b, 10 = 5*o - 4*b. Factor -90 + 30*v - 5\/2*v**o.\nAnswer: -5*(v - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*w + 25 - w**2 - 2 + 71*w - 2 + 130*w to a + l*w**2 + t*w and give t.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r**3\/5 + 3431*r**2\/5 - 84133*r + 12005.\nAnswer: -(r - 245)**2*(7*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 + -199. Let v be (u\/(-2))\/(-7 - -5). Factor -1\/5*y**4 + v - 1\/5*y**5 + 1\/5*y**3 + 0*y + 1\/5*y**2.\nAnswer: -y**2*(y - 1)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. What is the greatest common factor of 5 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvka when four letters picked without replacement from {o: 1, f: 1, k: 2, a: 1, v: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((i**(-2\/5)\/i)\/i)\/i)\/i)**(-19)\/(i*i**(-1)*i**(3\/2)))**(3\/8))**29 assuming i is positive.\nAnswer: i**(71427\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 90, 0, -3 in ascending order.\nAnswer: -3, -1, 0, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 6228768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.5, 55.2, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -2 + 1 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(294\/(-105))*(-2)\/25.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let z(x) be the second derivative of -x**2 - k*x + 2\/3*x**3 - 1\/6*x**4 + 0. Find h, given that z(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/42*264\/176. Which is bigger: l or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - 6*w + 4*w)*(-2*w + 1 - 1) + 4 - 2*w**2 - 4 + 0*w**2 + w**2 + 0*w**2 - 4*w**2 + w**2 + w**2)*(-1 - 3*w + 3 - 4).\nAnswer: 15*w**3 + 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -15.9. Let f = -117.129 + 0.129. Let y = f + 106. Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371 and 19663.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 23*h + 2. Let w(a) = -11*a - 1. Calculate 4*v(q) + 7*w(q).\nAnswer: 15*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*u**3 - 886 + 886 + (0*u - 2*u - u)*(2 - 3*u**2 - 2).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 + (21 - 114) - -113?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 626710502 and 7273236?\nAnswer: 3760263012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8)*-1)\/(24\/(-768))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 4*p + 4. Calculate t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6412565*c**2 - 6*c**3 + 6412565*c**2.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 865\/14 + -62. Are u and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -57629*u**3 - 1023*u**2 + 682*u + 341. Let x(w) = -339*w**3 - 6*w**2 + 4*w + 2. What is -2*h(c) + 341*x(c)?\nAnswer: -341*c**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*6\/72*-4. What is the nearest to 1 in g, 0, -21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Let r(a) = -120*a**2. Determine l(r(o)).\nAnswer: -28800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -66*v**2 + 1139*v - 243. What is c(17)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 714200075 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*m*x**3 + 60*m*x + 2396*m wrt x.\nAnswer: -51*m*x**2 + 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*i + 76*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -133 (b) -0.1 (c) -0.3 (d) -3 (e) -9\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 7, r: 1}. Give prob of picking 1 i and 2 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -576 less than or equal to -546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 1\/4 (c) -1\/6 (d) 61 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/4 + 3)\/(2\/180). Calculate the greatest common divisor of a and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.061 * 0.03.\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 + 20*m + 15. Suppose 3*l - 20 = g - 8, -l = 2*g + 24. List the prime factors of r(g).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1256 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2\/13, 4331.\nAnswer: 2\/13, 25, 4331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*v = 8, -2*t + 2 + 7 = 5*v. Suppose -4*g - 25056 = t*g. Find the common denominator of 23\/4 and (g\/64)\/(6\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/20 - 3*l**2. Let a(v) = 6*v. Let k(s) = -5*s. Let j(f) = -3*a(f) - 4*k(f). Calculate b(j(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27c8 - -55d8a?\nAnswer: 58774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-8 + 8 - -6) - 19?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 0*v**3 - 8*v**3 - 13*v**3 + 2*v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6257*w**2 + 7939.\nAnswer: -12514*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15*f**3 + 2*f**2 + f. Let w(r) = 6*r + 27 - 12 + 26. Let g be w(-8). Let m be ((-1)\/2)\/(g\/(-14)). Give c(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 251, -2 in descending order.\nAnswer: 251, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7363008 is divided by 541.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 + -2 + -9 - (391 - 402) - 21).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4\/539, -0.7?\nAnswer: 4\/539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/7 + (-10)\/35. Solve r*s + 12 = 0, 3 = -5*n + 3*s + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.03 (b) 9 (c) 1\/2 (d) -197 (e) 0.4 (f) -100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 44.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/8? (a) 0 (b) 4.1 (c) -1\/143 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 + -120. Suppose -4*g + k*g = -2. What is the units digit of g\/6 + 52\/12 - -35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 820 + -419. Suppose -8*g - 8448 = 36*g. Let y = g + a. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -93, 7, -2\/3, -14, -3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 3*q + 8879 = -7*i, 0 = i + 4*q - 1769. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684102.\nAnswer: 2, 3, 113, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8514)\/(-34960) - (6222\/(-391) - -16) and 31\/760?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13*o + 17. Let a(b) = 9*b - 11. Calculate 8*a(c) + 5*m(c).\nAnswer: 7*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + c - 1 + 0*c + c**2. Let y(k) = k**3 + 2*k**2 - 2*k. Let f be y(-3). Let l be o(f). Let p(g) = g**3 - g**2 - g - 1. Give p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150.27232 to the nearest integer.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:08 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*a - 144 = 2*a, -4*x + a = 144. Let b be (24\/16)\/(2\/x). Let q = b - -44. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103574*h**3*k - 373*h**3 - h**2*k - 16*h - k + 1082440 wrt h?\nAnswer: -621444*h*k - 2238*h - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*-1*3\/(-6). Let s = 3 + t. What is the nearest to s in 5, -2\/3, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 2*z + 5*u - 15, 3*u + 15 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -22\/481, 2\/7, -1.1 in ascending order.\nAnswer: -1.1, -22\/481, 2\/7, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*r - 750. Calculate the highest common factor of 60 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94268651 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -52, 5 in decreasing order.\nAnswer: 5, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**2 - 507092*i + 1014128.\nAnswer: 2*(i - 2)*(7*i - 253532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476167 divided by 19?\nAnswer: 77693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.56 - -0.5.\nAnswer: -8.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-534)\/1869 - 88\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1038 and 888.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -38. Let y(m) = m**3 - 7*m**2 + 7*m + 17. Let v be y(5). Solve 5*a - f - v = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -1) + (-201 - -193).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355362 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1632, -3073, -4514, -5955, -7396, -8837?\nAnswer: -10278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1117\/12 + -373\/4. Sort 0.5, x, 0.3, 38\/5.\nAnswer: x, 0.3, 0.5, 38\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.5 + -1.5. Let n = j - 22. Which is the third biggest value? (a) 0 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1220\/(-110))*-2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + 5*q. Suppose 0 = 5*i - 10, -4*x + 2*i + 16 = -q*x. Solve -4*p - x = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1380 less than -1374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 10, y: 4}. What is prob of picking 1 v and 1 m?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 89913633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9587.2544 to the nearest 100.\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1027.87 - -1032. Let h = 0.13 - l. Which is the third smallest value? (a) h (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let o(q) be the second derivative of 0*q**2 - 5\/3*q**3 + 5*q + 0. Determine o(v(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*m**3 + 3920*h**2*m**2 + 2*h*m**3 + 9519*h*m + m wrt h.\nAnswer: -6*m**3 + 7840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2448) - (sqrt(2448) - (-2 + -1 + sqrt(2448) - sqrt(2448))))*-4)**2*3 + -3.\nAnswer: 15549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(33660\/(-3276)) - 2*(-5)\/2?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5\/13 - 488948*j**4\/13 - 29883279382*j**3\/13 + 59769003524*j**2\/13 + 29883279384*j\/13 - 59768514576\/13 = 0?\nAnswer: -122238, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 0.374563\nAnswer: 0.04120193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 611183850 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j + 8. Find the third derivative of 2*z**2 - 5*z**2 + 2*z**5 - j*z + 2*z wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 2, d: 5, k: 1}. What is prob of picking 2 d?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -1e0d2?\nAnswer: 1e0ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*p - r, 5*p - 2 = 5*r + 78 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 42078?\nAnswer: 42072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 4, b: 1, h: 1, d: 1}. Give prob of sequence dhdl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 2 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6337.96*-3\nAnswer: -19013.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 757, -2566, 2, 3, -3 in decreasing order.\nAnswer: 757, 4, 3, 2, -3, -2566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 5*p**2 - p + 1. Let v be q(5). Let m(h) = -13*h - 9. Is m(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 2*i = 5*m - 8, 0 = -3*i + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f8d (base 16) in base 6?\nAnswer: -101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 4*m - 4. Let f(d) = d**3 + 7*d**2 + 8*d + 8. Suppose 11 + 13 = -4*a. Let q be f(a). Give i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407 divided by -3?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.9 + 17.82. Let x = -0.6 + 0.52. Let z = y - x. What is the closest to 1 in z, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1, -1, 5, 2\/19, -7\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1349 + 11*g - 1318 - g**3 - 40*g - 21*g**2. What is the units digit of a(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 15*s**2 - 5*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19323740693001 less than 0.07?\nAnswer: -19323740693000.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1451*p = 570*p + 677*p - 2031 - 10209 for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*a = 37 - 14, -5*a = -5*o - 15. Suppose -27 = -3*x + o*x. Suppose -4*t + 5*t - 3 = 5*h, -3*t + x = 3*h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1390, -1240, -1090?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5274 and 9962?\nAnswer: 89658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.64 - -5.74. Let v = 308 - 6466\/21. Sort 5, v, 0, j.\nAnswer: j, 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*p = 10, 8*o - 7*p + 5*p = -58. What is the closest to o in 2\/5, -1, 1.1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -5*m**3\/6 + 27*m. Let g(i) = i**2 + 4*i. Let y = 330 - 335. Determine y*g(a) - 4*h(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 1:34 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x + 5*x + 100 - 102 wrt x.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -213132?\nAnswer: 213136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v - 4*v)*(0 + 1 + 1) + (-3 - 3 + 5)*(2*v + 3*v - 4*v) + 5*v - 3*v + 0*v - 2*v - 2*v + 5*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - (-2*sqrt(175))\/sqrt(7))\/sqrt(5) - ((-3*sqrt(5)*-2)**2 + sqrt(5) + sqrt(45)\/sqrt(144)).\nAnswer: -180 + 7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12\/19 + 94\/209. What is the nearest to 0.07 in -2\/5, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 3. Suppose 20*y - 14*y - 12 = 0. Let i be -1 + y + (-1 - (9 - 6)). What is s(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9226 or 251?\nAnswer: -9226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -160157024, -160157026, -160157028, -160157030, -160157032, -160157034?\n\"Answer: -2*m - 160157022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5, -0.2, 216, 3.\nAnswer: -3, -0.2, 1, 3, 5, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5080, -5085, -5090, -5095?\n\"Answer: -5*v - 5075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*u + 6 = 0, 40 = 4*b - 492*u + 488*u. Let j(l) = 9*l - 2*l - 4*l**2 - l**2 + 4. Let t(m) = 4*m**2 - 6*m - 3. Determine b*j(p) + 4*t(p).\nAnswer: p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 - 2\/(-7). Suppose -a = -5*w - 4*a + 153, 3*w - a - 89 = n. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + sqrt(72)*-1.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10110010010 (base 2) to base 13\nAnswer: -859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (150\/(-135)*-6)\/36*6\/2\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239 - 118. Let z = 16 + 1. Suppose 3*a + 3 = n + a, -z = -3*n + 4*a. Calculate the highest common divisor of n and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2452)\/188 - (-288)\/6768?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 60, -1, -4, 285, -80 in ascending order.\nAnswer: -80, -4, -2, -1, 60, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10172 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -0.7, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*p - 3, -6 = -d - 1. Suppose -7*v = -5*v - 40. Let x be (-2 + 6)*(-2)\/v. Put x, p, 0.1 in decreasing order.\nAnswer: p, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and 75\/4408786.\nAnswer: 39679074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 33\/5 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1835, 7201, 16111, 28565, 44563?\nAnswer: 64105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*l + 20 = -110*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 x, and 1 h when four letters picked without replacement from {h: 5, x: 5, r: 2, y: 3, f: 1}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-30)\/(-4))\/3)\/((-176)\/(-160) - 1). Calculate the highest common divisor of l and 8350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*3 + 5 + ((4 + sqrt(425))*6 - sqrt(425)))*5)**2*-6.\nAnswer: -4206150 - 348000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33831\/4296)\/(5\/40)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.95 + 27.2. Which is the closest to -1? (a) -3\/17 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - 34*f**3 + 30*f**2 + 10*f**3 - 30*f**2.\nAnswer: -24*f**3 - 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11631 (base 8) in base 5?\nAnswer: 130032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.25 and 0.25878.\nAnswer: 0.00878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/125)*n*n**(3\/4)*n*n*n)**(9\/5))**(-10))**(16\/3) assuming n is positive.\nAnswer: n**(-57192\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -60, -89, -116, -141?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -20. What is the third biggest value in 2\/15, l, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 3. Let k = 0 - a. Solve -f - 3 = k*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144064399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3)*576\/48. Solve -18*r + l = -14*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -24*a**3 + a**2 + 2*a - 12. Let o be r(-2). Calculate the greatest common factor of o and 3180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*h - 291*h - 511 = 6 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4797563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1310 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 7*l - n - 943, 0 = -3*n + 9. Let o = l - 478. Let i = 9 + 1. Sort o, i, 3.\nAnswer: o, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -127 in 1\/7, 0, -62, -23, 0.3?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/49 + (-56)\/(-49). Sort -22, b, 1 in ascending order.\nAnswer: -22, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*k + 2 + 5 = 0, 8 = -4*k. Suppose z = 3 + d. Let t(q) be the third derivative of q**5\/60 - q**4\/4 + 2*q**3\/3 + q**2. Calculate t(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 - 1. Let y(v) = 3*v**3 - 4*v**2 + 3*v + 6. Let k(i) = -4*j(i) - y(i). Factor k(q).\nAnswer: (q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11 and -26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6736486 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159960482 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s + 7. Let d(f) = -10*f**2 + 23*f + 10*f**2 + 2*f**3 + 10 + 21*f - 36*f. Calculate 5*d(t) - 7*u(t).\nAnswer: 3*t**3 + 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-11 - 1 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-9) - 4\/6. Let z(b) = 7*b**3 + b**2 + b. Let i(n) = 21*n**3 + 3*n**2 + 4*n. Let u(f) = -2*i(f) + 7*z(f). Determine u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/37 and -2*(-2)\/(-28) + -2.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c + 28. Put -3\/7, c, 0.5, 0.4 in ascending order.\nAnswer: c, -3\/7, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*o - 2*q - 74, 0 = o - q + 19. Let f = 2588 - 2591. Is 2136\/o*26\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2052\/(-912))\/((-6)\/((-72)\/5))\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 212208 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -416*k. Let s(i) = 13*i**2 + 65*i - 1. Give x(s(h)).\nAnswer: -5408*h**2 - 27040*h + 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432042 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1407204, -1407201, -1407190, -1407165, -1407120, -1407049, -1406946?\n\"Answer: t**3 - 2*t**2 + 2*t - 1407205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -39203*i**2 + 2587*i + 2587. Let u(l) = -91*l**2 + 6*l + 6. Let p(t) = 6*q(t) - 2587*u(t). Let y(h) = -2*h. Determine y(p(c)).\nAnswer: -398*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225360 - 113581477\/504. What is the common denominator of -85\/8 and t?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289142, -578309, -867476?\nAnswer: -1156643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1727995956.\nAnswer: 2, 3, 509, 282907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 4*z - 3. Let f be m(2). Which is the third biggest value? (a) 0 (b) f (c) 1\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.32, -4, -2\/419?\nAnswer: -2\/419","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - -0.2. Let j = s + -3.3. Let q = j + 0.3. Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 + 17*a**2 - 8*a - 8. Give h(-8).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -470658*g**4 + 538411*g**2.\nAnswer: -11295792*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**3\/6 + 5*t**2 + 99*t\/2 + 1064. Factor i(s).\nAnswer: (s + 9)*(s + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 663, 348, 33, -282, -597, -912?\n\"Answer: -315*t + 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23 < 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 521?\nAnswer: 3647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30646138213+0.2038\nAnswer: 30646138213.2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/5, -10, -11, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-2 - -1) + 0). Which is the smallest value? (a) d (b) 0.03 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2. Let v(q) be the first derivative of 6 + 4*q**2 + 8*q**2 - 4*q**2 + 5. Determine v(x(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m + 107*m - 41*m - 36*m - 53.\nAnswer: -3*m - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-357)\/238)\/(130\/(-24)). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 13*y**2 + 55*y + 38. Let h(t) = -25*t**2 - 109*t - 74. Let d be 3\/((-3)\/2)*-2. Let u(l) = d*h(l) + 7*k(l). Solve u(r) = 0 for r.\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)*3\/(-6). Suppose 2*x - 6*x + 8 = l. Suppose -7*q + 485 = -x*q. What are the prime factors of q?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*r + 24*r**3 - 7*r**3 - 4*r**3.\nAnswer: 13*r**3 - 367*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11372819 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41250 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-8))\/z**3*(z*z**(-8))\/(z**(2\/5)\/z*z*z))\/((z**(1\/5)\/(z**(4\/7)\/z))\/(z**0\/z*z*z)**(-30)) assuming z is positive.\nAnswer: z**(-1156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/13 (c) -44 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, w: 1}. What is prob of sequence hhw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 21. Let f be (o\/(-8)*0)\/(-4). Factor -5 + 12*u - 13 + f + 0*u**2 - 2*u**2.\nAnswer: -2*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/((i**(-6)\/i)\/i))*i*(i\/((i\/(i**(-9\/5)*i))\/i))\/i*i*i assuming i is positive.\nAnswer: i**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -228*0.18\nAnswer: -41.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 6*c - 12 = 0. What is the second smallest value in 0.019, -3\/2, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*r - r - 21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n - 3. Let a(z) be the second derivative of -z**3\/6 + z**2\/2 + 4*z + 1. Determine 3*a(o) + f(o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/(m**(-1\/3)*m))\/m)\/m)**(-40)*m\/(m**1*m)*m*m\/m**(-5))\/(m**3\/(m\/m**(-4)*m)*(m*m*m**(-1))**(16\/7)) assuming m is positive.\nAnswer: m**(701\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3559\/36 - 799\/9. Let z be (2520\/(-38))\/((-6)\/42). Let b = -213485\/456 + z. Calculate the common denominator of l and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 8:12 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102704 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -ca70b (base 16) to base 3\nAnswer: -1120010102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 877518.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1734497 is divided by 599.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfkyyyyfdkffyqyy. Give prob of picking 1 k and 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3*w**3 + 4*d**3*w**2 - 123399*d**3 + d**2 + 85556*w wrt w?\nAnswer: 6*d**3*w**2 + 8*d**3*w + 85556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(931)*3)**2 + sqrt(931) + -1 + -3)*-5.\nAnswer: -35*sqrt(19) + 41915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/7 in 483, 0.45, 0.3, -4?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 9. Let v(g) = 15*g + 19. Let a(n) = 16*n + 26. Let u(i) = -2*a(i) + 3*v(i). Let z(j) = 7*j + 3. What is o*z(x) - 3*u(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (21 + -17) - 6 - 3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22362977?\nAnswer: 7, 13, 245747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/10 - 41*h**3\/6 - 11*h**2 - 7*h - 1. Differentiate y(u) with respect to u.\nAnswer: -6*u**2 - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98939\/24 - 4119. Find the common denominator of x and 137\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 38*t - 27. Give a(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (5 + (3 - -20))) + (15 - -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1639829, -3279676, -4919523, -6559370, -8199217?\nAnswer: -9839064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120032 + -56232. Round b to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10804 - 10803. Solve 10*b - 5*b + 2*z = 1, -z + h = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 89. Suppose -q*x - 224 = 298. Which is smaller: x or -28?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(19 - 412 + 65)*(0 + 1 - s + 0) as n*s + x and give x.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1540a84 + 2?\nAnswer: -1540a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 398 - 139. What is the remainder when z is divided by ((-52)\/(-52))\/(3\/(59 + -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36467.33 times -5\nAnswer: -182336.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7110 - -7215. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 9:31 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 7. Let s be b(9). What is the greatest common divisor of s and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 328797 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/301?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 6*l**2 + 27*l - 54.\nAnswer: -3*(l - 3)*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-181)\/181*2\/(-4))\/(1\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*0\/(-3 - 0). Solve 3*t + 0*t + 6 = v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, -316, -889, -1496, -2149, -2860, -3641?\nAnswer: -4504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-14) + 840429912\/784 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (1 - 0) - 25\/25. Is f greater than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - 2*n)*(-4*n + 3*n - n) - 4*n**2 + 4*n**2 - 2*n**2 + 4*n**2 + n**2 - 2*n**2 + 2*n + 0*n - 5*n - 2*n**2.\nAnswer: 3*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18616210, -18616202, -18616194, -18616186, -18616178, -18616170?\nAnswer: -18616162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 58 = 2*g. Let o be 1830\/9 + (-1)\/3. What is the highest common divisor of g and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 81082774 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5084, -5083, -5082, -5081, -5080, -5079?\n\"Answer: f - 5085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 508217653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2115*b + 8 - 1058*b - 1056*b to the form m + o*b and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 359\/210 - 3\/70. Let n = -8 + 7.958. Let y = 0.142 + n. Sort c, y, 4.\nAnswer: y, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 816*k**2 - 6903*k - 7706934.\nAnswer: -3*(k - 177)**2*(k + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-5))\/(-12) - (-4)\/312?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -1\/4*f**4 - 1 + 2*f - 1\/2*f**2 + 1\/3*f**3. What is j(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 7*l**2 + 29*l + 15. Let g be t(10). Solve -g*r + 9 = -8*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**2 + 19*m**2 - 22*m**2.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -84570, -168223, -251888, -335571, -419278, -503015, -586788, -670603?\n\"Answer: -b**3 - 83646*b - 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2421 + 4465 = 3443*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 32.6 (c) -4\/3 (d) -4 (e) 4 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 0*j + j + 0 - 3. Let b(m) = -m + 1. Let k be b(-6). Is r(k) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/14 (b) -0.075 (c) 160\/9 (d) 0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 0.5, 1, -5, 122?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 7*d - 5. Let o be q(5). Suppose o*i = 78 + 152. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 27, 51, 83, 123?\n\"Answer: 4*d**2 + 4*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000184787394 rounded to seven decimal places?\nAnswer: 0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((15696\/448 - 35)\/(-4 + 3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/(-8))\/((-1)\/6). Suppose 2*c + c + 3 = 0, 2*c - v = -j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 685.3 - 685.4. Which is the nearest to 0.3? (a) 0.3 (b) y (c) -1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 - 96) + 6\/(-4)*572\/99.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000218511 rounded to 6 dps?\nAnswer: 0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 83.85973kg?\nAnswer: 83859730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/3, 2\/9, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 4 = -12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 26 = -26*q - 161 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 16*g - 13. Let d be o(-15). Let p(h) = -h. Let j be p(-4). What is the derivative of -2 + 4*y**d + j - 3*y**2 wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/5 - 42902*j**3\/5 - 306734994*j**2\/5 - 146148977258*j + 1462717055804\/5.\nAnswer: -2*(j - 2)*(j + 7151)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557284*w + 453399*w - 607946*w - 491941*w.\nAnswer: -1203772*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 11 + (972\/42 - -2) - (-12)\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 16*f**4 - 3*f**4 - 36*f**4 + 11*f**2 - 2 + 4*f**4 in the form m*f**3 + a*f + r*f**4 + s*f**2 + l and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 12\/13*w**2 + 2\/39*w**3 + 97 + 0*w. Let p(n) = 0. Calculate n.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185268.\nAnswer: 2, 546317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28787\/95 + 303. Let u = 196\/285 + r. What is the closest to -1 in 0.1, u, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 - 6*u + 21*u - 1 - 2. Let i(p) = 4*p - 62. Let x be i(16). What is the smallest common multiple of 33 and z(x)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 23*z + 294 = 0. Let g = z + -48. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p + 88*p - 59*p - 204 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173.29 - 183.29. Sort h, 1\/4, -0.5 in increasing order.\nAnswer: h, -0.5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-40)\/(-25))\/2)\/(2\/5). Let m(w) = -4*w**3 + 1. What is m(c)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236*(344\/1720)\/(8\/(-10)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21451.\nAnswer: 19, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 15 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*k + 25 = 3*f - 62*k, 4*f - 2*k - 34 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0. Let m = 2.62 - 2.4. Let x = m - -0.28. Which is the closest to n? (a) x (b) 1\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 - 0.51. What is the closest to 1\/3 in 4\/7, 3, j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-4)\/(-10)*30\/(-12)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 1. Let m be x(1). Calculate the common denominator of m\/(-22) - (-3)\/6 and 101\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8*(-58)\/8)\/(-2). Let w(m) = -m**2 - 6*m + 25. Let v be w(-9). Put v, f, 0.1 in ascending order.\nAnswer: f, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 7 = -2*f, -f + 6 = -3*q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379.887 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 130\/819*(-6264)\/(-1392)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3115 is divided by 1523.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*k = -17, 0 = -4*c + 20*k - 15*k + 33. Suppose 0*n = 3*d + 2*n - 1411, d - c*n - 481 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2. Let x(m) = 21*m**2 + 13*m**2 + 1 + 1 + 20*m**2 - 24*m**2. Calculate z(x(l)).\nAnswer: -3600*l**4 - 480*l**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -4 (c) -0.03 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8646, 34578, 77840, 138474, 216522, 312026, 425028?\n\"Answer: 7*j**3 + 8623*j**2 + 14*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/49 (b) 5 (c) 407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-14))\/(-2*-4*(-6)\/(-240))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Let t = 6 - l. Let k = -1009\/10 + 507\/5. Which is the nearest to -1? (a) k (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -386 - -386.2. Let s = 40 + -43. What is the nearest to -1 in c, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997999.89 rounded to the nearest one hundred?\nAnswer: -1998000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-5))\/(7\/(-28385)) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 + 21871*t\/6 + 4550053.\nAnswer: (t + 1329)*(t + 20542)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + 32)*(-90)\/(-36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + d + 6 = 0, 2*w + 0*d + 2 = -3*d. Suppose -2*x + 3*x = 4. Let l = x + w. Solve -f = -l - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137.9678 times -5\nAnswer: -689.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2510200 (base 6) to base 2.\nAnswer: 100000100110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2497 is divided by 2492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -45214*k - 3345826. Determine b(-74).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1851 + 2*q**2 - q**4 + q**2 + 1881 - q**3 - 3784 in the form u*q**4 + w + v*q**2 + c*q**3 + z*q and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18677288*t**2 + 78089*t + 43.\nAnswer: -37354576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 24*c**2 + 8 + c - 13*c + 1008*c**2. Let k be p(6). Suppose 4*l - k = -10852. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936068642?\nAnswer: 2, 3, 79, 151279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -5\/2*h**2 - 1\/2*h**3 + 0 + 3*h. List the prime factors of i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14382 = -655*r + 17713 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 1020?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r**2 - 34*r + 34. Let n(g) = -g**2 - 3*g + 3. Let t(u) = -68*n(u) + 6*z(u). Let i(b) = -106*b. Determine i(t(c)).\nAnswer: 424*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 22*j - 34*j + 2*j**3 + 5 + 12*j in the form a + w*j**2 + s*j + g*j**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 127*a - 59*a - 68*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0*2\/(-3)*21*(-15)\/(-1050)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298905797 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 1704 + 1749 - 813 = 0. Solve -6*o - c = -141 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9 - 4.6. Let q = 1 - -1. Is i not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4094999?\nAnswer: 4094999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 10, -3*m = -5*d + 13 - 15. Put -58, -4, m in descending order.\nAnswer: m, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 11. Let o be h(6). Let w be (-3)\/(o - 3\/6). Let d(f) = -2*f**3 + 0*f**3 + f**3 - 2*f**2 + 2*f**3 - w. Determine d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 13013?\nAnswer: -13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 - -29. Let o = -953\/6 + n. Which is the biggest value? (a) o (b) 14 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(121) + (sqrt(121) - 3*sqrt(121))) - 6*1*sqrt(121))\/(sqrt(132)\/(sqrt(12)*-4) + 2*3*sqrt(11)).\nAnswer: -20*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1 = -p, -a - 3 = 2*p - 14. What is the closest to a in -5, -3\/2, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 9*z - 810. Suppose -25*x + 28*x - z = 0. What is the remainder when 176 is divided by x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 4*r + v, -3*r = -0*r - 2*v - 114. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 170 = 5*k. Calculate the greatest common divisor of k and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -11*d**5\/5 + 7*d**2 + 11. What is the second derivative of l(y) wrt y?\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/37, 0.3, 0.8, 0.2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + 1 + (1 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-30)*(-2)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 25*w**2 - 36*w**2 - 2*w**4 + 23*w**3 + 12*w**2 + 1 to the form l*w**3 + i + a*w**2 + j*w + n*w**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12817 + 12686. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2 and 86\/39782835.\nAnswer: 79565670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -53.06.\nAnswer: -55.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -36. Let r(x) = 4*x**2 + x + 2. Let d be r(2). Let y = 27 - d. What is the remainder when j is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-28 + 10) - (0 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j\/j**(-1\/4)*j)\/j))**(12\/5)\/(j**(-2\/7)\/j)**(-4)*(j**5*j**(3\/4)\/j)**28 assuming j is positive.\nAnswer: j**(874\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -3*z + 4*q + 14, 22 = -2*z - 4*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27212 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 0.1 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 398924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t**4\/7 - 500043*t**3 + 4667049*t**2\/7 + 1166769*t\/7 - 2333526\/7 = 0. Calculate t.\nAnswer: -2\/3, 1, 388921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11023\/328 less than or equal to 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 8. What is the tens digit of 21 - l\/((-9)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774951831?\nAnswer: 3, 149, 317, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497117493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 287, 450, 633, 842, 1083, 1362, 1685?\nAnswer: 2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/15*3 + (-12)\/30. Suppose 216 = 3*v + 5*h - 120, -3*v + 333 = s*h. Let z = v + -103. Solve z*k + 3*t = k - 9, -t = 5*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 36. Suppose 0*l - 60 = 4*l + j*c, 3*c = 5*l + 67. Let z = 40 - l. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*u - 5 = 6, -16 = 4*g - 2*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 6652 = -4276. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 9*n = 33*n + 95*n. Solve n = 2*s - 775 + 779 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*h + 65*h - 89 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2693394 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2. Let d be ((-1)\/(-3))\/((-5)\/(-330)*2). Let q(f) = -4*f - d*f + 11*f. Give q(y(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-580)\/140 - 27) + 32 - (-8)\/(-42). Let q = 1 - 9. What is the closest to -1\/2 in -1, q, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 1:42 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i - 3*q + 480 = 0, -39*q + 55 = 2*i - 34*q for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - 29 - 23 - 1641*m**2 in the form n + f*m + r*m**2 and give r.\nAnswer: -1641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*v - 6 = 0, -4*q - v - 12 = v. Suppose 49*z - 45*z + 12 = 0, -5*m - 2 = -z. Sort -3, m, 5, q in decreasing order.\nAnswer: 5, m, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/3864 and 157\/1104.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 10)*(4*h + 2*h - 8*h + 2*h**2).\nAnswer: 18*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7066658 months to centuries.\nAnswer: 0.0014222215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/435)\/((-38)\/(-5) - ((-570)\/38 - -22)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = i + 3*q, 4*q - 64 - 58 = -2*i. Suppose m = -3*w + i + 1, -4*w = 2*m - 120. Let j = m + -26. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**2 + 89*x**2 - 26*x**2 - 37*x**2 - 2*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(20)\/sqrt(4) + 2) + (0 + sqrt(125) + 3)**2.\nAnswer: 34*sqrt(5) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3780?\nAnswer: 377a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y + 4227 - 3603 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -2 (c) -4\/5 (d) 20.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 13. Let y be i(-19). Suppose z = 3*f + y*z - 148, 4*f + 4*z - 192 = 0. Suppose 4*p = f + 18. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -322747, -322734, -322713, -322684, -322647?\n\"Answer: 4*r**2 + r - 322752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 956840079.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.46 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 3, r: 5, l: 1, y: 1}. What is prob of picking 2 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = -1. Let v(g) = g**2 + 1. Let h(s) = s**2 + s + 1. Let c(q) = 3*h(q) - 6*v(q). Give c(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1061 and 10?\nAnswer: 10610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 10*a**2 - 12*a - 53. Give i(-8).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 559 or 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 399, 968, 1765?\nAnswer: 2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-928)\/80 - 2\/5. Let v be (1\/3)\/((-2)\/r). Suppose -20 = -v*p - 3*p. Solve -3*x + x - 3*u = 4, p*x - 2*u - 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + 7 - 7)*(1 + 1 + 0)*(2 - 2 - n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1673 - 1672.8. Which is the nearest to -2? (a) -12 (b) 4\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-4)\/(1 + 3)). Suppose 3*t = -0*t - 3. Are b and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 - 6. Suppose 0 = 3*i - 5*f - 27, 635*i + 3*f = 638*i - 15. Let v(g) = -g**2 + g - 1. Give i*u(j) + 3*v(j).\nAnswer: 2*j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 + u + 26. What are the prime factors of c(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(209)\/(sqrt(11) + (sqrt(11) - (-2*sqrt(99) - sqrt(99))\/sqrt(9))))**2.\nAnswer: -49\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*c + 15 = 0, -2*l = -3*l - c + 5. Let h be -24*(1 + (-6)\/4). Let w = h - l. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -481 - -522.6. Round n to the nearest integer.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d + 0*d**3 - 6\/5*d**5 - 37*d**2 + 0*d**4 - 24. What is the derivative of s(v) wrt v?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 3*q**5\/20 + 5*q**4\/12 - q**3\/3 + 15*q. Let a(y) = -5*y**3 - 8*y**2 + 3*y. Suppose 17 = -3*s + 2. Determine s*a(g) - 8*f(g).\nAnswer: g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1989*z**4 + 2*z**3 + 4*z**2 + 6*z + 5389. Let l(m) = -m**3 - 2*m**2 - 3*m - 1. Let d(f) = 2*l(f) + q(f). Differentiate d(k) with respect to k.\nAnswer: 7956*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -375 - -379. Solve -w = -c - 4*j + 3, -j = -3*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*c - c + 11 = 0, 0 = -4*c + 16. Let w be 3\/4*(-60)\/s. What is the tens digit of (126\/w)\/(6\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/24 + 343*j**5\/12 + 18275*j**4\/3 - 73960*j**3\/3 - 6*j**2 - 32. Factor q(a).\nAnswer: 5*(a - 1)*(a + 172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 - -18)\/((-5)\/(-2)). What is the second derivative of w**u - 106*w + 108*w + w**2 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 89 = 18*m. Suppose 0 = 3*z - 2*c - 6, 4*z = m*z - c + 2. Solve 0 = u + 4*o - 9, -4*u + 26 = 4*o + z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 295*f**3 + 5*f + 5. Give y(-1).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3) - (-2 + -1029998). Suppose 26*t - 36*t = -p. Round t to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 3 - 4)*(-2 + 1 - 1) - 1 + 3 + 0)*(-3*z**2 + 2*z**2 - 126*z + 0*z**2) to the form j + b*z**2 + n*z and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -849137312.260000068 + 849137481.26. Let f = y - 169. Round f to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 12:45 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*(m*m\/(((m*m\/(m\/m**(6\/7)))\/m)\/m))\/m)\/(m**0\/m))\/((m*m\/(((m*m\/(m\/(m*(m**(-3\/8)\/m)\/m)))\/m)\/m)*m)\/m**(2\/47)))**(-44) assuming m is positive.\nAnswer: m**(34441\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5717\/80 + 837419\/11760. Calculate the common denominator of 53\/98 and s.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15761763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-54)*-20)\/((-2)\/(-36)). What is the highest common divisor of g and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -253911*m**3 - 56*m - 32624456 wrt m.\nAnswer: -761733*m**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24391, -9, 3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**4 - 16*q**4 + 54013*q**3 - 53995*q**3 + 0*q**3 + 0*q**3 + 2*q**4 + (q**2 - q**2 + 2*q**2)*(2*q + 2*q**2 - 2*q) + 3*q**4 - q**4 + 0*q**4.\nAnswer: -15*q**4 + 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -82. Suppose -4*b - a - f = 0, a - 3 = -3*b - 2*a. Let d = 0.2 - 0.6. What is the biggest value in b, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400323, 801051, 1201779?\nAnswer: 1602507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 1, b: 2, t: 7}. What is prob of sequence st?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-4))**(-9) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 29937825.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 41, -5 in decreasing order.\nAnswer: 41, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 + (5 - (-13)\/(-5)). Suppose -s*u - 2 = 0, -57 = -m - 2*u + 14. What is the remainder when m is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1327740133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/48 and 68\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -428247 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**4 - 24*i + 24*i)*(-2 + 5 - 2)*(-4 + 3 + 2).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 7*s - 5. Let g = -1 + -4. What is the remainder when n(g) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(200) + -2 - sqrt(200)) + -3)**2 + -3 + (-1 + sqrt(200))*-6 + sqrt(200) + 2 + (2*sqrt(200))**2) + 3.\nAnswer: -4977 + 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50)\/224 + 184\/644. What is the closest to z in 1\/2, 3, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148 + 1430.\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 8 = -11*k. Is (807\/k)\/(45\/(-210)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 21*c - 46. Determine m(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:06 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1.1.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.23312856107+-0.0529\nAnswer: 0.18022856107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 4. Let g be n(9). Let s(z) = -z**2 - 12*z - 13. Calculate the remainder when (-2628)\/(-66) + (-4)\/g is divided by s(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-four fifths of a millisecond?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 0) + (-44)\/(-11). Let x = u - -139. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (6 + -63)) + -35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26045\/396 smaller than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4783, -4, 5, 1 in ascending order.\nAnswer: -5, -4, 1, 5, 4783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*k**2 - 174*k**2 + 2*k**3 + 87*k**2 - 7 + 0*k**3 to m*k + f + x*k**3 + b*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n + 24*n - x + 1903999, -4*n + 5*x + 2538678 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l. Let a be j(-7). Let w be (-1)\/2 - a\/6. Suppose 2*n + h = -7, 5*n + 16 = 4*n - w*h. What is the closest to -1 in -0.5, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5840*j + 5846*j = 18. What is the closest to -0.1 in j, 0.1, -6\/13, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 14 = -3*x, -4*l = 45*x - 40*x + 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 111*l - 17 + 122*l + 42 - 9.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -22*j**2 + j - 1. Let q(z) = -88*z**2 + 4*z - 4. What is 2*q(b) - 9*r(b)?\nAnswer: 22*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79729 - 48866 = -6686*l - 335718 - 108125 for l.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.207518 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -35447, 0.03?\nAnswer: -35447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1898, 97 in increasing order.\nAnswer: -1898, -4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433871521.\nAnswer: 433871521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/35*(-616)\/1232\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 3*i + 103 - 82, 2*o = -5*i + 51 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10404*t + 117 = 10417*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23195041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 779501 and 40681?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -441650730.6799 + 441671057. Let t = -20325 + m. Let u = 1.34 - t. What is u rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180 and -0.5.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a - 13. Calculate j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2\/3*75\/2. Let s = u - -39. Calculate the greatest common divisor of 126 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**5\/20 - 15*c**4 - 733*c**3\/6 - 276*c**2 - 345*c - 4. Factor b(t).\nAnswer: (t - 184)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716262937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(99 + w + 92 - 198) to a*w + s and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttfr. Give prob of sequence rt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-3\/4))*w\/(w*w**2))**(-47)\/((w*w**(1\/3)*w*w*w**(-3\/8))\/(w**(-1\/3)\/w**(-3\/2))) assuming w is positive.\nAnswer: w**(1367\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = -5. What is the lowest common multiple of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from noonndnnndn?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(-250)\/125?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 8:01 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474 - 33 = 63*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2671?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1711*d - 1673*d + 6877*d - 1714*d - 1784*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -11*q**8\/336 + 13*q**5\/30 + 25*q**2. Find the third derivative of o(h) wrt h.\nAnswer: -660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-330)\/(-114) + -3 - (-4108)\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33717, 33808, 33961, 34176, 34453?\nAnswer: 34792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -995.5987877 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837946986.\nAnswer: 2, 3, 197, 708923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -50*v**3 + 3*v**2 + 2*v - 3 + 51*v**3 - 12*v**2. Let s be p(-8). Let f = 107 + s. What is f rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:47 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoococz. Give prob of sequence cz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/255 - (-1806)\/45. What is the greatest common divisor of 440 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 + 1037*l**3 - 257*l**3 - 4*l**2 - 256*l**3 - 263*l**3 - 256*l**3 + 4*l**2.\nAnswer: 5*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/20 and 47\/134.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - 2*j)*(-32 + 562 + 508 + 1552 - 784)*(3 + 0 - 2).\nAnswer: -3612*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -9 + 5 + (3 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 - -8.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.16607 + -8.\nAnswer: 4.16607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -17. Suppose 6*r - 116 - 100 = m. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17178 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 units digit of 182270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.1 - 29.0311465.\nAnswer: -46.1311465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -4. Let j = -14 + t. Find the third derivative of j*w**6 + 3*w**6 - 8*w**2 + 3*w**2 + w**2 wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243833120 to the power of 1\/2, to the nearest integer?\nAnswer: 15615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 1 + 0*b**4 - 1\/5*b**5 + 0*b**3 - 2*b + 0*b**2. What is the first derivative of d(q) wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 129 - 177. Let l = 25 + -16. Calculate the lowest common multiple of l and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/9 + 57795544*g\/9 - 208770306640996\/9.\nAnswer: -4*(g - 7224443)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((12\/(-8))\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 18, 1\/7, 86, 49, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 18 + 48. Is 7*((-5214)\/m - (-12)\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 303601 and 10933.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/80 + 1\/5. Suppose 5*u = -f - f + 237, -5*u + 5*f + 265 = c. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32.42? (a) 4 (b) 3141 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, d: 13}. Give prob of sequence vv.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -555 divided by 111\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11257 or -11258?\nAnswer: -11257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 + 936. List the prime factors of y.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8228, -19502, -30776?\n\"Answer: -11274*k + 3046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.37 + 4.08. Let a = -271.71 + y. Let c = -274.9999514 - a. Round c to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 5*x**2 + 4*x - 1. What are the prime factors of j(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Let c(y) = 10*y + 5 - 5*y - 5. Give d(c(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -1\/2, -3, -1\/23, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1870152, 3740303, 5610454?\n\"Answer: 1870151*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 less than 84?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 0, 3*o + 0*m = -5*m + 3*m - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 235 = 102 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*h + 379 = -4*b - 369 + 746, 2*h = -h + b - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h. Let z(t) = -t**2 + t - 10218. What is z(s(o))?\nAnswer: -9*o**2 + 3*o - 10218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2. Let n(f) = -47*f - 8*f + 5*f**2 + 61*f - 6*f. Give n(w(c)).\nAnswer: 80*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2709767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1185 in -4, -459\/43, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -10*q**4 - 1 - 2*q**3 + 11*q**2 - 7\/2*q + 11\/2*q**5 = 0?\nAnswer: -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1923 - -7693\/4. Sort 384, 0.3, b.\nAnswer: b, 0.3, 384","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 6*i)*(4*i**2 + 0*i**2 - 3*i**2) + 1 - 4*i**3 - 1 as z*i + l*i**3 + p + g*i**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79, 17, -75, -197?\n\"Answer: -15*q**2 - 17*q + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1132, 9210, 31158, 73912, 144408, 249582?\nAnswer: 396370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y**(1\/2)\/y)))**(-4\/41)\/(y\/(y*y**(1\/3))*y*y\/(y\/(y*y*y**(-3)))) assuming y is positive.\nAnswer: y**(35\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/(z*z**7))**(-2\/5) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r**3 + 7*r**2 + 7*r. Let z(c) = 6*c - c**3 + 0*c**2 + c**2 - 5*c. What is 2*m(g) - 14*z(g)?\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1386*n - 527*n + 177*n.\nAnswer: -1736*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 17 = 47. Let d be ((-520)\/6 + 4\/v)*-6. Suppose -229 - d = -b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:44 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z**2 + 4*z)*(-5 + 4 - 1 + (3 - 3 + 1)*(-2 - 1 + 5) + 3 + 1 - 6).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2. Let l(b) = 7 - 3 - b**2 - 4. Determine n(l(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 102*n - 1418. Give u(-11).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 + 263. Let m = 146.9 - f. Let h = -34.21 - m. What is h rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(-4 + sqrt(300) + (sqrt(300)*2)**2*1) + ((4*(-1 + sqrt(300)))**2 - (sqrt(300) + 0 + 1)**2).\nAnswer: -350*sqrt(3) + 3317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4)*(74842*q**2 - 49206*q**2 - 54175*q**2) to the form b + t*q + s*q**2 and give s.\nAnswer: -57078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from gqaaqaga.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2652253 + 499*x**3 - 500*x**3 + 2652253.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 4*o + 11*o**2 - 31 + 12*o + 6*o.\nAnswer: 11*o**2 + 14*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-177)\/(-57)*(-302)\/2. Let c = d - -469. Let r(u) = -u - 9. Let v be r(-5). Sort -3, v, c in increasing order.\nAnswer: v, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 12*w - 9. Let v be f(11). Suppose 0*t = t - v*t. Solve -x - 4*y + 7 = t, -y + 13 = -3*x + 4*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627\/4 + 6\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 2478?\nAnswer: 34692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 203121 (base 4) to base 15\nAnswer: a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 23 = -4*t + t, 3*k - 27 = 3*t. Calculate the remainder when 29 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 118 - (82 - 29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*w**2 + 5\/8*w - 63\/4.\nAnswer: (w - 9)*(w + 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*s + 85*s - 51*s - 53*s - 52*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 - 913268*r**2 + 52130935584*r - 260631846720 = 0. Calculate r.\nAnswer: 5, 114156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-258)\/(-9))\/((-354)\/944*(-11)\/((-396)\/32))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/17, 0.65, 0.5, 2\/13, -3\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11\/7 - 10\/(-7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 7*z**4\/3 - 5*z. Let r(c) = -2*c - 8. Let w be r(-5). Let o(h) = 2*h**2 - 5*h**2 + 5*h**w. Give j(o(u)).\nAnswer: 112*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:26 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -35. Calculate the greatest common factor of 3 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 11. Let d be w(-4). Let j = 14 - d. Is (-1)\/1 - (-2 - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -312230*q**4 - 42*q**3 - 19009956*q**2 wrt q?\nAnswer: -7493520*q - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118764 - 118617.514. Let i = 2694 - 2547. Let y = i - t. What is y rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 300 - 3003\/10. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62\/61, 2\/19, -10\/31, 1 in descending order.\nAnswer: 1, 2\/19, -10\/31, -62\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(80))**2 + (sqrt(80)*3 + 2 + sqrt(80))**2.\nAnswer: 64*sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3. Let u(d) = 4*d**2 - 5*d**2 + 3*d**2 - 2*d - 3*d**3 + 7*d**3. Let g = -63 + 58. Determine g*o(j) + u(j).\nAnswer: -j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26c0b2 (base 13) to base 14\nAnswer: -1a6a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 8, -1, 0, 17.\nAnswer: -1, 0, 8, 17, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 17*y - 13. Calculate the remainder when 136 is divided by r(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -27. Suppose y = -4*f + 7*f. Let b(h) = -5 + 1 + h - f + 5. What is b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*a - f, 32300904*a - 2*f = 32300901*a - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 859a (base 13) to base 9.\nAnswer: 27388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12*z**2 + z + 3. Let q be h(-4). Suppose 4*s + q = 735. Calculate the greatest common divisor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-10)*(14558\/174 - 77)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24045 (base 6) to base 2\nAnswer: -110110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2. Let t(x) be the third derivative of x**4\/3 - 44*x**2. Determine i(t(u)).\nAnswer: 192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 5:54 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) 1\/2 (c) -5 (d) 25753\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-24))\/(49*9\/(-252)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 less than -2\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12418.173 times 0.5?\nAnswer: -6209.0865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**9\/10080 - k**8\/2240 - k**7\/1680 + k**6\/240 - k**4\/4 - 4*k. Let h(d) be the third derivative of l(d). Factor h(q).\nAnswer: 3*q*(q - 2)*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/2 + 108036*f**3 + 4750680*f**2.\nAnswer: 3*f**2*(f + 44)*(f + 71980)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 3*f**2 - 4*f - 3. Find the first derivative of n(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06196 in 0.3, 4\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 51131 = y, -3*y - 16*t = -20*t - 153360. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-4 - -2) + 0 + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:38 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.1220418 rounded to one decimal place?\nAnswer: 101.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 272*z - 1350. Let b be a(5). Solve -12*r + 6 = -b*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -51868.6+0.0495865\nAnswer: -51868.5504135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 18*w + 56 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/7*(4\/2)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 6874.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.5 in -1, 2\/5, 40?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5. Suppose -i + 2 = 0, -b = -0*i + i - 5. Let y(r) = -r + 6. Let w(x) = b*y(x) - 4*h(x). Give w(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - 59 - (30 - (2 + -5))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/24 - (-16)\/6. Find the third derivative of -2*v**o - 5*v**2 - v**5 + 14*v**4 - 14*v**4 wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and (2 + -1)\/((-10)\/(-11337)) - 18\/(-60)?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7046390057\/15 + -470079533. Let l = v + 320380. Let x = l + -184. What is the nearest to 1\/2 in x, -2\/5, -2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1151*d + 1150. Determine m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 2. Let g(o) be the second derivative of -21\/10*o**5 + 0*o**d + 0 + 4*o**4 - o - 4\/3*o**3 - 49\/15*o**6. Factor g(c).\nAnswer: -2*c*(c + 1)*(7*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2299) - -2*1*sqrt(2299) - (sqrt(133) + sqrt(133)*5*-1 - sqrt(133))\/sqrt(7)))**2.\nAnswer: -380*sqrt(19) + 27461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*-89.\nAnswer: 16.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + z**2 + 3*z**3 + (-2*z + 4 - 4)*(277*z**2 - 915*z**2 - 366*z**2) as q*z**3 + s*z + n + d*z**2 and give q.\nAnswer: 2011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*-17.37\nAnswer: -27.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 13 = -2*g, -3*g + 5*q - 14 + 2 = 0. Which is the second biggest value? (a) -1 (b) g (c) -5 (d) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3165.306ms to nanoseconds.\nAnswer: 3165306000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 2845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*(z**(-5\/6)\/z)\/z*z*z))**(-5) assuming z is positive.\nAnswer: z**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:59 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11317*r + 5671*r + 5108*r to the form v*r + w and give v.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 26, 22, 4, -34?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3605865413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5091455?\nAnswer: 5, 1018291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5930630 and 95?\nAnswer: 563409850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Let x = 1.998 + 0.002. Which is bigger: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**6\/2 - 5*k**5\/4 + 5*k**4\/3 + 10*k**3\/3 + 27*k. Factor o(s).\nAnswer: -5*s*(s - 1)*(s + 2)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Solve r*x = -2*h - 3*h, x = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*q)*(-12 + 1 - 7)*(6 - 5 + 0) - 2 - q + 1 + 9.\nAnswer: -37*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -2\/5 (b) -0.2 (c) 8334\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1613 - -59673\/37. Let d = b - -125\/407. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4 - 121*y**3 + 500*y**2 = 0.\nAnswer: -125, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*q + 8258 = 0, 2*q - 8253 = -5*k + 4*q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1)\/(2\/(-14)). Suppose -8*w + q*w = 84. Which is smaller: 15 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 16.9847, -209 in decreasing order.\nAnswer: 16.9847, -13, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202 + -174. Is z less than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/4 + (1 - 0). Let q be (15\/(-10))\/(v\/(-4)). Solve 1 = -z + q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*t = 90, 24 + 38 = 3*u + 4*t. Let r = -6 - -32. What is the remainder when r is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 616236.\nAnswer: 2\/154059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53817 or 914866\/17?\nAnswer: 53817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005033 (base 7) in base 14?\nAnswer: 3171a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 6, 5, 2, 1, -4.\nAnswer: -17, -4, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = 10. Let q be 24\/56 + ((-120)\/35 - -5). Suppose -3*a - 31 = -4*w + q*a, a = -j. Sort w, -4, 3.\nAnswer: -4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 - 29 = -21*f + 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 291*-0.114938\nAnswer: -33.446958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000406 to 6 dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 13 = 2. Suppose 14 - 4 = 5*o. Let p(z) = -32*z + 64. Let l be p(o). Which is the nearest to -3? (a) j (b) -0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -6*r + 162. Let p(a) = 1. Let j(x) = x - 35. Let y(f) = -j(f) + 6*p(f). What are the prime factors of y(r)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**2 - 4. What is q(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 3369.\nAnswer: 404280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.5, -0.023, 61\/6, -14.33?\nAnswer: 61\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*s + 12 = 0, -3*s + 15 - 7 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 259145834?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/(i**(-1\/8)\/i))\/i*i)\/(i\/(i**(-13)*i))*i*i**(-1\/2)\/i*(i*i\/(i*i*i*i**(-7\/3)))\/i assuming i is positive.\nAnswer: i**(-217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + l)*(0 - 1 + 0)*(-2 + 1 + 0)*(-1 - 2 + 0).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 + 0)\/4)\/((-8)\/(93 + 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -95*a + 105*a - 32, -18 = -3*a + 3*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.5201 to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 26.\nAnswer: -3, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/282 and -71\/2590712.\nAnswer: 365290392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1. Let i(v) = 3*v**2 + v + 5. What is -i(n) + 3*l(n)?\nAnswer: -3*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*i + 41*i + 150*i to b*i + n and give b.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -21*w**5\/40 - 5*w**4\/8 + w**3\/2 - 2*w - 1. Let k(v) be the first derivative of d(v). Factor k(m).\nAnswer: -3*m*(m + 1)*(7*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h + 3*h + 2*h + 20*g - 22*g - 6, g - 2 = h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 548, 1112, 1676?\nAnswer: 2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n**(3\/8)\/n)\/n)*n**(2\/11)*n*(n**(-6))**(-33) assuming n is positive.\nAnswer: n**(17759\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02595076 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*g - 32, -2 - 6 = g + 2*m. Let o = g - -11. Factor o*z**4 + 3*z**4 + 6*z**3 + 14*z**2 + 4*z + 7*z**3 + 3*z**3.\nAnswer: 2*z*(z + 1)**2*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*z - 11568, -4*s + 6085 + 17099 = 4*z. What is the greatest common factor of s and 543?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + ((-2)\/9 - 175716\/3888).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 131*v**2 - 3*v - 2. Let f = -24 - -26. Let h be 16\/(-12) + f\/6. Is 33 a factor of z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 441\/8, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + 2*b**4 - b**3 + (105*b + 114*b - 541*b**2 - 218*b)*(b - b + b**2).\nAnswer: -539*b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 83\/3. Let t = -11 - -7. Sort t, 2, r in decreasing order.\nAnswer: 2, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 + n**2)*(187*n**2 + 6 + 2*n + 2*n - 185*n**2).\nAnswer: 2*n**4 + 4*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.316517 to two dps.\nAnswer: -9.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/56 + 2\/(-14). Which is the closest to 1\/5? (a) l (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 5*h + 35, 3*g + h - 89540 = -3*g - 89505 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13618 and 3714?\nAnswer: 40854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 293616 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -158*b - 6 - 154*b + 328*b. Let h(w) = 6*w**2. Calculate l(h(d)).\nAnswer: 96*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.09 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 less than 51476\/377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1293773340 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100001110001 (base 2) in base 9?\nAnswer: -27385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8380 - -8384. Solve x*l - 9 = -h, -4*l + 1 = 2*h - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71101 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 7*c**2 + 9*c + 4. Let i(a) = -12*a - 428. Let g be i(-35). Give s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 28 = 8. Let q be (-3)\/l*7200\/(-30). Let y = 33 + -13. Calculate the highest common factor of q and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1836917*a**2 - 1836926*a**2 + 2 + 3 - 5.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15869 (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (111 - 71) + 18 - 25?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4916 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16037226047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:36 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 279253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0.1, 1442 in ascending order.\nAnswer: -0.6, 0.1, 1442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923 plus -3?\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = g - 69, 4*g = 9*g - 5*m - 385. Let y = -379\/5 + g. What is the closest to -5 in 0.5, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -300 + 300. Factor -8\/7*b - 20\/7*b**2 + v.\nAnswer: -4*b*(5*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130792513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802922894?\nAnswer: 2, 1483, 270709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -265*u + 1060, -13*r + u + 26 = -17*r + 7*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-64)*1*1292\/(-17).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61420358.\nAnswer: 2, 5009, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1116*d**3 + 4*d**2 + 16*d - 19. What is i(1)?\nAnswer: 1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(((sqrt(405) - sqrt(405)*1)*2 - 4*1*sqrt(405)) + (sqrt(405) + (0 + sqrt(405))*-5 + sqrt(405) - -4*(sqrt(405) + 1))))**2.\nAnswer: -1944*sqrt(5) + 32952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15))**(-2\/23)\/(l\/(l\/(l*l*l*l**30))*l**(1\/11)\/l) assuming l is positive.\nAnswer: l**(-7789\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*z + z. Suppose 4*h = -3*n + n + 6, 3*h = -z*n + 17. Solve n*d - 20 = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 7*v**2 - 11*v + 6. Let z be g(-9). Let q = z - -70. Solve 4*c = 5*j + 40, -3*c + 6 + q = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/1816 (b) 0.009 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**7\/490 + 9*r**5\/70 - 81*r**3\/14 - 41*r**2. Solve q(k) = 0 for k.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.928 + 0.072. Let y = -37 + h. Let w = 7 - 2. Which is the nearest to 0? (a) w (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8801165 seconds?\nAnswer: 880116.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t + 118. Let o be x(12). Solve -5*f = -o*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) -0.7 (b) 1\/3 (c) -2 (d) 41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p*p)\/(p\/(p**11\/p*p*p*p)*p)*(p**(-31)\/p)**(-2\/25))**(-2\/17) assuming p is positive.\nAnswer: p**(-728\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2105613350 to the nearest 1000000.\nAnswer: -2106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by 3.\nAnswer: 82\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**6\/15 + 4*i**5\/25 - 4*i**3\/15 + i**2\/5 - 4. Factor l(x).\nAnswer: -2*x*(x - 1)**3*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - 3*s**3 - 3 - 3*s**3)*(-254 + 3 - 26).\nAnswer: 554*s**3 + 831","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 157?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 17*b - 26. Let j be 14\/3 + b*1\/(-6). What is the highest common factor of 8 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.7 - 0.3. Let d = -1147950857 + 1147950879.00000036. Let v = d + z. Round v to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 913*g = -919*g - 8, -o - 5*o - 4*g = 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 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: 4 (base 16) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/((840\/(-64))\/(-15))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 59*g**2 - 3*g - 1. Suppose -8*i = i - 9. Suppose -5 = 4*x - i. What is the tens digit of s(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013741001 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-9 + 0)) + (16 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 30*s**2 + 3*s + 40. Give u(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(833) + 2 - sqrt(833)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 9*j**2 - 2*j - 16. Let g be u(-9). Let s be (g\/5)\/((-17)\/(-85)). Sort 3, s, -5, 14 in increasing order.\nAnswer: -5, s, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651556939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3434*v**3 - 441*v**3 + 3873*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -14, 0.3, 5, -0.2, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/233886 or -1?\nAnswer: 7\/233886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-36)\/8)*81\/90*-5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:38 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107831*y + 2 - 2 - 53917*y - 53920*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -2.8.\nAnswer: -4, -2.8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -66?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5 and -49\/14479.\nAnswer: 72395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = z + 3*t - 2*t, 2*t = -4*z + 180. Let a = 46 - 67. Let k = a + z. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/3 + (-2)\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/19, 0.1 in ascending order.\nAnswer: -3, -2\/19, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 929563 and 151518769.\nAnswer: 151518769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*d + 21 = 0, -11 - 8 = -2*r + 3*d. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(6)*1) + sqrt(272)*-1)**2 - (-1 + 3 + sqrt(1700))**2.\nAnswer: -1551 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362, -782, -1262, -1802?\nAnswer: -2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-8) - 2970\/(-48). Let i = -57 + x. Let v(d) = -d + 10. Let a be v(i). Solve 0 = -a*c + 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -30?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 437, 655, 873, 1091, 1309?\nAnswer: 1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*q - 40, 5*t + 0*q + 10 = q. Let g(m) = -m**2 + 3*m + 3. Let s = 7 + -4. Let h be g(s). Sort h, t, -2.\nAnswer: t, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 481 - 481 + 15*w**2 - 23*w**2 + 0*w + 12*w**2 + w. Let z be 0 + (1 - 0) - 0. Let c(f) = -f**3 - f**2 - f. Calculate z*o(m) + c(m).\nAnswer: -m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -80847321+16\nAnswer: -80847305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -10\/5207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 i when four letters picked without replacement from {a: 3, k: 5, i: 3, m: 2}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 - (-13 + 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*r + 70*r + 513 = 488*r. Let w(q) be the third derivative of 3*q**2 + 0 + 0*q**4 + 0*q - 1\/8*q**6 - 1\/60*q**5 + 0*q**3. Determine w(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (-1*(sqrt(77) + (sqrt(77)*-2 - sqrt(77)) - sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77)) - sqrt(77)*2*-1)*-6)\/(1*3*2*sqrt(28)) + 0.\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -127*d**2 + 1746*d + 420. Give q(14).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1904.33 and 5.\nAnswer: -9521.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1719, -7, 3.\nAnswer: -1719, -7, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2361.7 - -2360.7. Which is the nearest to h? (a) 0.1 (b) -518 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.259465062 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 26. Solve b*f + 7 + 18 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051587827.\nAnswer: 1051587827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 3 + 6 + 5*y - 4*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/5 (b) -34 (c) -4 (d) -301 (e) 0.1 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -122104720 - -6?\nAnswer: -122104712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*z**4 - 14452*z**3 + 946*z**2 + 8*z wrt z.\nAnswer: -120*z - 86712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 94490347 to the power of 1\/2, to the nearest integer?\nAnswer: 9721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g**0\/g*g))\/g**15)**(1\/5))**(-20) assuming g is positive.\nAnswer: g**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -10. What is the nearest to 1 in x, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -4 - 32\/4 - (28 - 13546\/377)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20150 divided by 2?\nAnswer: -10075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*w - a + 457, a = -5*w - 453. Let h be (-1)\/2 - w\/14. What is the third derivative of -4*r**2 - 2*r**h + 7*r**6 - 4*r**2 wrt r?\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4898 + 4897.997717. Round k to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*w - 69, w - 5*w - 225 = -5*h. Suppose -h - 1 = -5*s. Solve n = -n + s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 22.2.\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 751 = -2*v + 539, 0 = 5*v + 5*y - 3205. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d**3 + 3 - 14*d**3 - 3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 - 4*f. Let h(n) be the first derivative of -n**3\/3 - n + 4264. Give -h(w) - i(w).\nAnswer: -4*w**2 + 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11672015 divided by -1\nAnswer: -11672015","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39033 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 4, t: 6, s: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -953*a*i**3*l - 3*a*i**3 + 11*a*i**2*l - 23*a*i*l - 800*a*i + 45*i**3*l + 6*i**3 - i**2 wrt i?\nAnswer: -5718*a*l - 18*a + 270*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1550 and 2062430?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43628012 - -0.4.\nAnswer: -43628011.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421 - -11?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 6*a + 4. Let n be q(-6). Suppose -22 + 2 = -n*x - 2*u, -5*x + 2*u = -43. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*g + 151 = -780, -2*z + 2*g + 1850 = 0. Is z + 2 - 9\/(-12)*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(1 - 0) + 5 + 412. Let s = -75 - g. Let h = 1357 + s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 294, 360, 426?\n\"Answer: 66*v + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -214 + 120*r + 72 + 73 + 69 to the form a*r + d and give a.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/12 - 5*b**4\/6 + 10*b**3\/3 - 2*b**2. Find w such that r(w) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.90986269 to 4 decimal places.\nAnswer: -25.9099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116571126?\nAnswer: 2, 3, 7, 29, 95707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7031*f + 7849*f + 11262*f + 6. Let k be w(7). Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.9 + -12.95. Put 1, -1\/2, t, 0.05 in decreasing order.\nAnswer: 1, 0.05, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-16) - (-3)\/(-4). Suppose -4*y + 112 + 96 = h. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -24.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4697 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-9) - -4 - (-4)\/6. Let f be (54\/(-33))\/9 + (-70)\/(-22). Suppose -5*d = 2*b + 21, -3*b = d - 2*b + f. Sort d, q, -18 in increasing order.\nAnswer: -18, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7*g - 3 + 2 + 2.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 33. Let p be c(-8). Let f(d) = 310*d + 3. Is f(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(1377) - sqrt(1377) - sqrt(1377))**2*2 + -5)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + c + 20 = 0, 0 = 3*q - c - c - 15. Suppose m + 2 = -m + 4*a, 0 = -m - a + q. Solve -m*i + 5*i = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from bymsbmsvbyyb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 465.23538 or 2?\nAnswer: 465.23538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22305 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116584 - 72338 = -23*l. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11985076 is divided by 824.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g - g**3 + 0 - 3 - 2*g - g**2 + 0. What is the remainder when l(-3) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117919 = -231*z + 3418*z for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((4\/8*-5)\/(155\/(-93)))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*o + 53*o - 9. Which is the nearest to -0.1? (a) -3 (b) o (c) -2\/3 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**8\/6720 + q**5\/40 + 7*q**4\/24 + 2*q**2. Let u(j) be the second derivative of s(j). What is the units digit of u(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)\/((u**(-1\/8)*u)\/u)*(u**(-1\/2)\/u)**(-4\/7) assuming u is positive.\nAnswer: u**(-225\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -21. Let r(f) = -4*f + 6. Calculate the least common multiple of r(-1) and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f**2 - 6*f + 7. Let o be q(-5). Suppose -5*n - 46 - 457 = -2*i, -1048 = -4*i - 4*n. Let m = o + i. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/60 + 64*x**2. Suppose y = 5, -5*o - 3*y + y + 25 = 0. Let d(z) = 2*z + z - o*z + 2*z. Give d(h(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Let u(t) = 6*t**3 - 2*t**2 + 2. Let x(p) = p**3 - 2*p**2 + p**2 + 27433 - 27434. Let f(c) = h*x(c) + u(c). Suppose f(y) = 0. Calculate y.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 8*c - 17. Let b(k) = -k**3 - 9*k**2 + 3. Let d be b(-9). What is the lowest common multiple of v(d) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ca3 - 12116?\nAnswer: -140b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9632094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 + 20*z**4 - 11*z**4)*(-2*z + z + 0*z).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.089*86.\nAnswer: 7.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0*x - 3*x**2 + 0*x + x - x**2. Let a be b(-1). What is the remainder when 59 is divided by (-1)\/a - 693\/(-35)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/7144 and 127\/16074?\nAnswer: 64296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*g**2 + 33 - 26*g**2 + g**4 - 3*g**3 + 91*g**2 + 2*g - 32*g**2 as h*g**3 + y*g**4 + c*g**2 + b*g + m and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/9 (b) -24\/59 (c) 2 (d) 0 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2 = -o, 5*r - 83 = -o - 92 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:51 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100, -82, -32, 68, 236?\n\"Answer: 3*z**3 - 2*z**2 + 3*z - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/70 + (1 - 24\/20).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 144206 or 144200?\nAnswer: 144206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/25 + -144\/275. Let i = -4887 - -83081\/17. Which is the nearest to 0? (a) -1\/4 (b) t (c) -4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/59 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 366936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29210 in -0.05, -0.1, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25144 + 981.4518\nAnswer: 26125.4518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -0*n. What is the second smallest value in -4, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 6*c**2 + 12*c + 34. Let k be m(8). Suppose 0 = -2*q - k*y + 226, 2*y = q - 81 - 47. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 26*50 + (-6 - -9). Let i(y) = n + 2*y - 1303. Let c(m) = -3*m**2 - 2*m. What is i(c(g))?\nAnswer: -6*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Suppose q - 15 = 2*r, -3*r = -4*r + w. Calculate the remainder when 44 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + 4.2. Let s = g - 6. Put -0.1, s, -2 in descending order.\nAnswer: -0.1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = x + 4*x + 18, -4*x - 12 = 0. Put 1, 5, -4, k in descending order.\nAnswer: 5, 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*u + 5*x, 3*u = u + 3*x + 12. Suppose u = -5*h + 3*h + 6. Solve -4*d - 2*o - 18 = 0, -4*d - 25 - h = 4*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3137? (a) -1\/7 (b) 3 (c) 4\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13*g**3 - 36*g + 3244. Let f(z) = -28*z**3 + 78*z - 6491. Determine -13*c(r) - 6*f(r).\nAnswer: -r**3 - 3226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.031 (c) 28403\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 741 and 7319104?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 2*k**5\/35 + k**4\/7 - 8*k**3\/21 - 8*k**2\/7 + 22. Factor a(w).\nAnswer: 2*w*(w - 2)*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488475 divided by 2?\nAnswer: 488475\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1187469672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**2 + 8*r - 2. Let f(z) = -17 - 5 + 34*z - 30*z**2 + 4 - 3. Let m(v) = 15*v**2 - 17*v + 10. Let o(i) = -6*f(i) - 13*m(i). Give -6*o(t) + 13*s(t).\nAnswer: -t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 579828 to the power of 1\/2, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-3 + 5 - 1)*(20 + 24 + 39)*(404 - 404 - 11*r).\nAnswer: 913*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9194013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-40)\/(-30)*(-6)\/(-92))\/1\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 209562 and 209568 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 16*x**2 + 14*x + 25. Calculate a(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.4198 to two dps.\nAnswer: -4.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, 0.4, -18, 4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3487*f**3*i - 3*f**3 + 13*f**2 + 269*i wrt f?\nAnswer: -20922*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 9) to base 5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 37*a - 1. Let c(k) = 36*k**2. Calculate x(c(p)).\nAnswer: 1332*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 + 2*g - 3. Is x(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1186476165 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2519 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5255505565 to the nearest integer?\nAnswer: 72495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 0 - (44 - (-3 + 22 - -12)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9290, 18538, 27786, 37034, 46282?\nAnswer: 55530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 + ((-2)\/6)\/((-1)\/9) and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17508*-5\nAnswer: 87540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.8. Let m(q) = -5 - 4*q + 2*q + 3*q. Let i be m(6). Sort i, -0.1, o in increasing order.\nAnswer: -0.1, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 16*g. Let h(u) = -219*u - 105. Let z(p) = 54*p + 25. Let x(j) = -5*h(j) - 21*z(j). Determine b(x(m)).\nAnswer: -624*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000221222110111 + -122?\nAnswer: 2000221222102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 - (3 - 3) - 0) - (-21 - 22).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14)*(-53)\/(-6). Let n = m + -13\/7. Suppose 0*g**4 - 8\/9*g**3 + 4\/9*g**2 - 4\/9 + 2\/9*g**5 + n*g = 0. What is g?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2. Let o(x) be the third derivative of -x**5\/15 - x**4\/4 - 8*x**2. Let f(k) = 0*k + 2*k - k. Let g(j) = -6*f(j) - o(j). Determine g(t(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 2*k - 12 - 86 - 2*k.\nAnswer: k - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)\/((-1)\/3). Suppose -60*u = -73*u + 4641. Suppose -13*s = 4*s - u. Calculate the greatest common divisor of s and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 at least as big as 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -194*n**2 + 1498*n - 12. Let f(l) = -81*l**2 + 599*l - 5. Let a(x) = -12*f(x) + 5*m(x). Factor a(c).\nAnswer: 2*c*(c + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -60*v + 2. Let z be d(-3). Suppose -5*l - z = -3*m, 5*m - 258 = -l - 2*l. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-39) - 1158\/(-78). Solve 0 = -k*h + 20*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*u - 1115130 = -146*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -18 - -55) + -24.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**8\/2688 - p**7\/280 + p**6\/240 + p**5\/80 - 5*p**4\/192 + 1263*p**2. Factor z(q).\nAnswer: q*(q - 5)*(q - 1)**2*(q + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-3933)\/(-2185).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*u = 10, -5*s + 0*u - 10 = -2*u. Suppose s = 5*w + w - 24. Suppose w = 5*v + 9. Sort v, 0, -3.\nAnswer: -3, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 2*y - 3. Let h = -6 - -9. Let r be v(h). Solve r = c + c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z + 18. Let n(b) = 6471*b. Give c(n(s)).\nAnswer: 32355*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199 - -6379.28?\nAnswer: 6379.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*m + 4 = 0, -5*b + 3*m - 1 + 11 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4001*0.109\nAnswer: 436.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - 2*q + 6. Let o be l(0). Let s(t) = -t**3 + 6*t**2 + 4. Let x be s(o). Factor 12*m**2 + 4*m**3 - 7*m**3 - m**3 - 4*m**x - 8 + 4*m.\nAnswer: -4*(m - 1)**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 - -123.37. Let c = -0.43 + i. Are -6 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 968695, 1937380, 2906049, 3874702, 4843339, 5811960?\n\"Answer: -8*s**2 + 968709*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11340334333 (base 5) in base 8?\nAnswer: 62322370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8794, -6, -1, 195, 3 in descending order.\nAnswer: 195, 3, -1, -4, -6, -8794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 212.3 + -212. What is the fourth smallest value in -0.12, -4, l, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 0.5, 2\/7, 32\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 6:52 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 767 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4580 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 10. Find the common denominator of (9\/(-6) - w)*(-1133)\/(-715) and 85\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-15))\/((-32)\/20). Suppose -i*w + 0 - 1\/4*w**2 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -407 + 579. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 80.3. Let o = -28.3 - c. What is the biggest value in -5, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 4*h - 2. Give v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10000000100000111100111000000?\nAnswer: -10000000100000111100110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 8) to base 12\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -214.\nAnswer: 1\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcjj when four letters picked without replacement from jcjccjccccccjccccj?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/(-748)*55 + (6 - -49).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0 + 4. Let l be n\/(2 - -2)*-10. Sort l, 5, 0.5 in descending order.\nAnswer: 5, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10229 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1135\/(-3178))\/((-30)\/(-7))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*u**3 - 4*u**3 + 45*u**3 + (2 - 2 - u**2)*(-3 + 3 + u) - 5*u**3 - u**3 + 4*u**3 + 0*u**3 + 4*u**3 - 6*u**3 + 8 - 3*u**3 - 8.\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtbbqttbt. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 20 = -r, 0*w = -4*w - 4*r - 16. Calculate the least common multiple of (4 - 1106\/(-35)) + 6\/15 and (-108)\/w*(-16)\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -243, -5, 1\/3, 26\/61?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2067066 (base 11) to base 8\nAnswer: -15706045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/((-8)\/170) - -1. Let o be (18\/(-36))\/(5\/960). Let v = g - o. Calculate the smallest common multiple of v and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(180\/(-88))*5. Suppose -v = -2*i - m, 0 = 3*v + i + 2*i - 48. Suppose z - 30 = -3*q, 2*q - v = -q - 5*z. Solve -4*f + 5 = -q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -2 + 1\/60*x**5 + 1\/12*x**4 - 2\/3*x**3 + 0*x + 0*x**2. Let l(h) be the third derivative of t(h). Differentiate l(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 123?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1059\/12)\/(51\/8). Let t = 422\/17 + a. Let f = t - 39. Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*d + 1045 = -111, 5*i - 5680 = 5*d. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, 1820, 308 in increasing order.\nAnswer: -5, -4, 5, 308, 1820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 + 111. Let z be ((-1)\/(-31))\/(1\/(-2)). Let g = z - 21\/155. What is the closest to -1 in -0.3, x, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/4 - 17625*k\/4 - 3292611\/2.\nAnswer: -3*(k + 401)*(k + 5474)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -4 + 0*u**5 + 0*u**3 - 1\/1176*u**8 + 0*u + 0*u**4 + 26*u**2 - 88\/735*u**7 - 484\/105*u**6. What is l in k(l) = 0?\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65.1 - 67. Which is the third biggest value? (a) -0.4 (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 10*o - 8. Let f be q(9). Differentiate 2*m - 6 + f + 2 with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -76, 71 in decreasing order.\nAnswer: 71, 1, 0, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**3 + 22005*y**2 - 10752750*y + 599167125.\nAnswer: -3*(y - 885)**2*(4*y - 255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 12. Let u be 9\/6*-2 + -1. Which is greater: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 + -1) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61915161.\nAnswer: 3, 7, 11, 109, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*h + 2604 - 173 + 3029 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 5*c**2 + 2*c + 19. Let p be q(-8). Suppose p = 3*l + 4*a, 0 = 7*a - 10*a - 12. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 6*h**2 - h - 4. Let v(w) = w**2 + w + 1. Let q(m) = 7*m**2 + 27*m + 9. Let f(g) = -q(g) + 3*v(g). Let b be f(-6). What is a(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*64\/24. Let x(f) = -f**3 - 3*f**2 - f + 4. What is the units digit of x(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, l: 2, k: 2, s: 1, n: 2, u: 2}. Give prob of sequence sr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 21 - -21 - (-10 + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(72\/(-7636)))\/((-1)\/279). Let h be 2 - (g\/161 + 2\/(-7)). Calculate the greatest common divisor of 65 and h.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 17, 1, 3 in decreasing order.\nAnswer: 17, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45446 times -50\nAnswer: -2272300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 2.04. Let s = -1.9 - v. Let x = 6\/37 - -32\/259. What is the third biggest value in x, -1\/5, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.75439, -4, -1.5 in descending order.\nAnswer: 3.75439, -1.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1133173 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 173 (base 8) to base 11\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1701)*2 + sqrt(1701) + sqrt(1701) - sqrt(1701))\/sqrt(3))**2 + 2.\nAnswer: 5105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235166576, -470333150, -705499724, -940666298, -1175832872, -1410999446?\nAnswer: -1646166020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 + 147. Let y(j) = j**3 + 3*j - 3. Let z be y(3). Let o = z + p. Solve r + r = -o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(2\/((-8)\/66)). Let k = 0.06 - -0.84. Let p = k - 0.7. Which is the closest to -1? (a) v (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 4856 = -j, -2*z - j = -3244. What is the smallest common multiple of z and 3078?\nAnswer: 30780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4451 - -3688. Is -759 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3057281254 plus -4005?\nAnswer: -3057285259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699781 is divided by 534.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -29*y**3 - 1. Let s be d(-1). Let k be (-243)\/(-7) + 1 + 8\/s. Calculate the highest common factor of 90 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5 + -1*(sqrt(539) + sqrt(539) + (sqrt(539) - (3 + sqrt(539)))))*-1*4*5*2)**2.\nAnswer: -358400*sqrt(11) + 3552000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, -0.2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g. Let m(n) = -80*n**2. What is k(m(l))?\nAnswer: -720*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -669, -2174, -5071, -9816, -16865?\nAnswer: -26674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.908827 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 27*g + 14. Let b be a(6). Calculate the greatest common factor of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o**2 - 41*o + 39. Let w be k(1). Calculate the greatest common factor of 808 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1442 + 5124. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-3)*(-2)\/4*924\/308\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-16)\/(-780)*2\/(-8)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181745869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 + 65. Let u be (-2)\/(-10) - (-26)\/g. What is the nearest to 2\/5 in -4, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 174*m**4*y - 2*m**4 - 2*m**3*y - 24*y - 3 wrt m?\nAnswer: 696*m**3*y - 8*m**3 - 6*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-308)\/(-9) - 2\/9 - 2. Let c(g) = g**2 - 39*g + 396. Let t be c(23). Solve 0 = t*v - y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 2, 1, -151, -10, -58, -2 in ascending order.\nAnswer: -151, -58, -10, -2, 1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/4*20\/(-15). Suppose -5*o = -7*h + 2*h - 390, 0 = -5*o - 3*h + 406. Calculate the greatest common factor of z and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 68894 = -59647 + 31125. What is the lowest common multiple of 738 and t?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/87364 and -137\/42204?\nAnswer: 921777564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 147\/51 - 2\/(-17). Let r(o) = -6*o - 4*o**p - 6*o**2 + 2 + 5*o**3 + 6*o**2. Is r(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 4*l**2 + l - 2. Let q be b(-3). Solve -9 = -o + q*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -90. Suppose 2*k + 18 = h. Calculate the remainder when k is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4)*((-3*x**2 + 0*x**2 + 2*x**2)*(4 + 0 - 3) + 17*x**2 + 16*x**2 - 9*x**2).\nAnswer: -92*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 4)*(0*b - 2 + 2*b + 1 + (-4 + 26 + 5)*(2 + 2*b - 2) + 5*b + 0*b - b) to the form z + a*b and give a.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2940806 kilograms?\nAnswer: 294080600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 7:11 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -1\/3*y**3 + 0*y**4 + 2*y + 0 + 0*y**2 - 3\/20*y**5. Find the second derivative of o(u) wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901590101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 3*a**2 + 6*a. Let i(b) = -b**2 - b + 1. Let v(w) = h(w) + 2*i(w). What is the tens digit of v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653400 = 61*t - 59*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: What is the square root of 8868 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**4 - 5*i + 2. Let b(t) = -15*t**4 + 81*t - 33. Let j(o) = -2*b(o) - 33*r(o). What is the second derivative of j(z) wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 59 = -20*l + 43*l + 2*b, 0 = 3*l + 5*b + 67 - 48 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - -5. What is the common denominator of f\/6*(-15)\/6 and (-2)\/5 + (-56)\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/238 and -59\/42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 106 = 5*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2217)\/4)\/((-1333)\/1240 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18915458 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*w + 5*w = -102, 2*n = -2*w + 48. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -2*y. Suppose -y*p - 5*z = -496, -z - 751 = -3*p - 5*z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.9968 seconds in minutes?\nAnswer: 7.08328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f - 1. Let r = 20 - 17. Let m(h) = -2 + 2 + 5 - 4 - 8*h. What is r*c(s) + 2*m(s)?\nAnswer: 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 270 - 269 = 2*o, 0 = 3*o - 7*q - 61 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9349, -19260, -29171?\n\"Answer: -9911*h + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185884818*q**2*y**2 - 6*q**2*y - 3*q**2 - 5*q*y + 30*q - 6*y - 639 wrt y?\nAnswer: 371769636*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.557 - 0.043. Let u = 24 + -27.6. Let i = u - v. Are i and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14178 or -13195?\nAnswer: -14178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:13 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 2. Let c(s) = -s**2 - 1. Let a(m) = 5*m**2 - 7*m + 1. Let b(t) = -a(t) - 4*c(t). What is b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/19 (b) 1 (c) 208\/1189 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2. Let l(q) be the third derivative of 0*q - 2*q**2 - 1\/24*q**4 + 0 + 0*q**3. Determine x(l(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3365*y + 513 - 193*y + 956*y with respect to y.\nAnswer: -2602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191632635 to the nearest integer?\nAnswer: 13843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1677)\/(-5) + 8\/(-20). Is v - (-1 - (-1 - 0)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14664 = 280*y - 275*y, -4*k + 3*y = -14696. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204 + -202. Let g be (-317)\/(-8) - 3\/(-8). Suppose 3*i + 0*i - p*w = -28, -5*i + 2*w - g = 0. Let b(j) = j + 5. Calculate b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5323.304 millilitres?\nAnswer: 5.323304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6508.83434 rounded to 0 dps?\nAnswer: -6509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**2 + 1\/60*v**5 + 0*v + 0*v**4 + 0 + 0*v**3 + 0*v**6 - 1\/105*v**7. What is the third derivative of t(l) wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 7:18 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12264, -12262, -12260, -12258, -12256, -12254?\nAnswer: -12252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yms when three letters picked without replacement from yyswywmywwsywyyww.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*z**2 + 531428*d**2*z - 2*d**2 - 2*d*z - 924080*z**2 wrt z?\nAnswer: -4*d**2 - 1848160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b70a2 (base 15) in base 5?\nAnswer: 320340102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*y - 9713 = -9816, o = -3*y - 61 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (123557\/(-19) - -3)*82. What is o rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 719*a - 720*a - 1 + 55*a**2 + 2 - 1 as m*a + v*a**2 + g and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0, -460?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6 - 2028*h**4 - 2*h**3 - 549*h**2 + h + 7?\nAnswer: -120*h**3 - 48672*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.4 times 4941.7?\nAnswer: -338012.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 3. Let z = -4.2 + 4. Let c = -2898\/5 + 580. Sort v, c, z in decreasing order.\nAnswer: c, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41.75713 milligrams?\nAnswer: 0.04175713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528942.\nAnswer: 2, 764471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -147104, -588460, -1324072, -2353940, -3678064, -5296444, -7209080?\n\"Answer: -147128*g**2 + 28*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.37 + 2.37. Let z = 0 - 0. Suppose 5*n - 20 = -z*n. Which is the biggest value? (a) -0.1 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301373, 602724, 904063, 1205390, 1506705, 1808008?\nAnswer: 2109299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1954494, 1954521, 1954564, 1954623, 1954698, 1954789?\nAnswer: 1954896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 527*b**2 + 247*b - 1237. What is the hundreds digit of c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 2, t: 7, l: 2, d: 4}. Give prob of picking 1 l, 1 t, and 1 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.083542 and 0.013.\nAnswer: 0.001086046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602183907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 37930012 = 5*h, 3*w = 9*h - 4*h - 37929991. Round h to the nearest one hundred thousand.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 261*v**2 - 2*v - 15. Let q(s) = -262*s**2 + 3*s + 22. Give 3*i(d) + 2*q(d).\nAnswer: 259*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/((-4)\/(-2) + 1). Let f be -15*(25\/x)\/(-5). Let y = f + -22. Solve -10 = -y*c - 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155578*p + 323822*p - 72500*p.\nAnswer: 406900*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.5. Let v = -0.0932 + 0.1932. Which is the nearest to v? (a) i (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -25. Let n = b - -21.0000019. Round n to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13*v**2 - 38*v + 6. Let l be i(-3). Solve 5*a - 12 - 13 = -3*z, 0 = 2*a - l*z + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3474024 times 0.02?\nAnswer: -0.006948048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 9. Let n(t) = 13*t + 28. Suppose -123*f + 132*f = 18. Let m(o) = f*n(o) - 7*z(o). Calculate m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.047 - -0.093. Which is smaller: b or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*k + 31317*i**3*u + 32*i**3 - i**2*k + 9*i**2 - 3*k*u - 12*k wrt u.\nAnswer: 31317*i**3 - 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 63*h**2 - 43*h + 344. Determine l(32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.665807g in milligrams?\nAnswer: 665.807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286, -550, -814, -1078, -1342, -1606?\nAnswer: -1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**3 + 4*n**3 + 13*n**3 + (-4*n + 3*n - 2*n)*(-6*n**2 + 22*n**2 + 13*n**2).\nAnswer: -75*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/7011 and 50\/27?\nAnswer: 21033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**3\/2 - 7*c**2\/2 - c. Suppose -30 - 10 = 8*d. What is the least common multiple of 18 and h(d)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 at least as big as 2\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 746752 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Let x(v) = 31*v + 2. Let n(l) = 4*q(l) - x(l). Let r(u) = u**2. Determine r(n(c)).\nAnswer: 729*c**2 - 108*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102546000 divided by -227880.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 5*d**2 + 9*d. Let u(a) = -2*a**3 - 6*a**2 + 8*a. Let w(c) = 5*u(c) - 6*v(c). Find the second derivative of w(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 10*c - 200. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -34*q**2 + 3*q + 3. Give d(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/417122 and -21.\nAnswer: 417122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31 times 649.04\nAnswer: 20120.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (sqrt(1377)*2 - sqrt(1377)) + 2 - 1*(1 + sqrt(1377) - sqrt(1377) - sqrt(1377))*6)**2*4.\nAnswer: -4536*sqrt(17) + 809784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*u + 2)*(1 - 1 + u) - 3737*u + 1542*u - 1311*u + 354*u**2 - 356*u**2.\nAnswer: -4*u**2 - 3506*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = i - 559, 5*i - 571 = -5*t + i. Let n = t - 109. Solve q = 2*q + n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 2*x**2 - 47*x + 14. Give y(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(0 - -4) + (3 - -34). Sort y, -5, 0.2 in increasing order.\nAnswer: -5, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(304))**2*4 + sqrt(190)\/(3*sqrt(20)\/sqrt(2)))*-5*-5.\nAnswer: -7175*sqrt(19)\/3 + 31300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296 and 1776?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqqqlglqp. What is prob of sequence qqq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793 + -2718 - (135 + 0)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*q = -0*q + 216, 437 = 4*n + q. What are the prime factors of n?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -56. Suppose j*n - 40 = 39*n. Calculate the greatest common factor of n and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 11*v - 2. Suppose -5*p + 0*j - j = 49, -p - 5*j - 5 = 0. Let x be a(p). Find the second derivative of -17*r + x*r**3 + 569 - 569 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 42*v - 151. Let k be r(4). Let h(w) = -w**2 - 1. Let f(n) be the second derivative of n**4\/12 - 2*n**2 - n. Calculate k*f(s) - 4*h(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 220166 + 5?\nAnswer: 220204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 17*f**2 + 32*f + 21. Let y = -5 - -22. List the prime factors of k(y).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-16)*i**(-17))\/((i*i**(1\/6))\/(i*i**(-2\/25)\/i)))**26 assuming i is positive.\nAnswer: i**(-66781\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*u + 2*u + 10, 14 = -3*o - 2*u. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -184, -365, -546?\n\"Answer: -181*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 52. Let w be (-1)\/(-2)*(-6)\/(-9). Let s = 3\/1651 - 3323\/11557. Which is the nearest to s? (a) w (b) d (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91806 and 0.4?\nAnswer: 36722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*k**3 - 188*k**3 - 190*k**3 - 47399 - 9276.\nAnswer: 8*k**3 - 56675","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -2*x**5\/25 + 11*x**4\/5 - 94*x**3\/5 + 44*x**2 - 40*x + 13. Factor h(f).\nAnswer: -2*(f - 10)**2*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33326209 by -7.\nAnswer: -4760887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((66\/45)\/(4\/60*-12))\/(1441\/(-1179)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 5)\/(-2) + (-1194)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + sqrt(128)*2 - sqrt(128)) + sqrt(32))\/sqrt(4).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4854)\/(-27))\/((-2)\/(-65)). Let v = -5850 + u. What is the common denominator of v and 0 + (-501)\/18 - -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 + 3)) + (126 - 98)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -6. Let w = 4 + s. Let m be (-1)\/(w\/(-1))*3. Solve -4*p = -4*y - m*p, 0 = -4*y - 4*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 160.7 - 9934973.\nAnswer: -9934812.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2062 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008318 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 5. Let v be a - (-1 - (-15630)\/(-1624)). Let k = v + 1\/1624. Calculate the common denominator of 8\/9 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 4 - 4 - 2 + 4 + (6 + 1 - 2)*((0 + 1 - 3)*(4 - 2 - 3) + 0 - 3 - 3))*(-114*n + 114*n - 12*n**3).\nAnswer: 324*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d**(4\/9))\/(d*d**(2\/7)\/d)**(7\/9) assuming d is positive.\nAnswer: d**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*q + 2958 = 26*q + 31*q for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -137*g - 2329. Let f be o(-17). Solve 3*x + 7*x + 60 = f for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -11618.1650238288.\nAnswer: -11622.1650238288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u**2 + 29*u + 13. Let j be r(-4). Solve -35 + j = 9*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(2\/17)*v*v))\/v*v)**49 assuming v is positive.\nAnswer: v**(-931\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.07330242+-0.25\nAnswer: -0.32330242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4 - 13*s - 25 + 25*s - 13*s. Let l be d(-18). Let v(w) be the second derivative of w**3\/6 - 2*w. Determine v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1533833, 1533845, 1533859, 1533875, 1533893, 1533913?\nAnswer: 1533935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1417144.17 + 12336635.\nAnswer: 10919490.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1397, 1461, 1625, 1937, 2445, 3197?\n\"Answer: 8*o**3 + 2*o**2 + 2*o + 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5705976 is divided by 1127?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**2 - 1465074*u + 1465071 = 0?\nAnswer: 1, 488357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33098 is divided by 11025.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 7*g**2 + 533164*g**3 - 2 - 2131*g + 533230*g**3 - 1065680*g**3 wrt g.\nAnswer: 4284*g + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2191 + 3791. Let q be (-2)\/(4*(-4)\/f). What is the smallest value in 0.4, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -78.99937. Round x to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 w when three letters picked without replacement from {w: 6, d: 8, q: 2, e: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 13036. What are the prime factors of z?\nAnswer: 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429716 is divided by 294.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4 + 54*y**3 - 962*y**2 - 1014*y = 0.\nAnswer: -39, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 24*t**2 - 22*t - 13. Let l be p(23). Suppose 2*g - 2 = 0, -l*b - 42 = -15*b - 2*g. What is the remainder when 47 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39689 = -98*v + 42629. Factor -5\/2*s**2 - 10*s + v.\nAnswer: -5*(s - 2)*(s + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(54\/4))\/((-8)\/(-2)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2489 - -3517. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -50954149?\nAnswer: -2\/50954149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, v: 4, e: 2, r: 1, g: 7}. Give prob of sequence gvrg.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73199*c + 132 = 73203*c. What is the remainder when 256 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/36, 1\/3, -0.2, 0.65 in increasing order.\nAnswer: -1, -0.2, 1\/36, 1\/3, 0.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57e0c6 (base 16) to base 2.\nAnswer: 10101111110000011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0008 + -0.0008. Put 4, v, 86 in decreasing order.\nAnswer: 86, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 29 = -2*v - 57, 3*w + 178 = -4*v. Let j = v - -49. Suppose 2*g = -3*f + 6, -f = -4*g - 2 - 0. Solve 6*h - j*h = g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 2*k**3 - 3*k + k in the form f*k**2 + w*k**3 + j + b*k and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*f + 919*f - 319*f + 26.\nAnswer: f + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56744536911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*3\/6 + 14\/12. Let c = -5.94 + 6. Let r = c + 0.04. Sort b, 0.4, r in decreasing order.\nAnswer: b, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/81872 and 67\/81872.\nAnswer: 81872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 + -71199230.\nAnswer: -71199229.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 2. Let i be r(-7). Suppose i*g + 2*m - 1024 = 0, 2*g + m - 410 = -0*g. Suppose c + g = 5*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1900.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 20, 53 - 162 = -4*b + 3*c. Suppose 4*u = 5 + b. Let h = 3 - -2. Calculate the remainder when u is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -574 - -8?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 18*c - 13. Let l = c - 10. Solve 4*n + t + 24 = 0, n = -l*n + 5*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, r: 13, j: 2}. Give prob of picking 2 b and 1 r.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3222*g**2 + 50. Let j be c(15). Round j to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 - 6 = 0. Let u = 16 + -10. Let m = u + -2. Solve d*y = -m*p, -5*p = y - 0*y - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i**6 + 0*i**3 + 0*i + 0 + 0*i**5 - 63*i**2 + 65\/6*i**4 - 64\/105*i**7. Find the second derivative of p(m) wrt m.\nAnswer: -1536*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-3) + 22)\/2. Let j = -7 + o. Suppose -2*l + 4*i - 35 = -5*l, -4*l = 2*i - 30. Solve 0*y = -4*y - j*x - 4, -45 = 5*y - l*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -205 - -106. Let p = 170 + t. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1537, -3074, -4613, -6154, -7697, -9242?\n\"Answer: -f**2 - 1534*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 3}. What is prob of sequence bb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1931274275 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(117)\/(sqrt(1089) - (sqrt(1089) + sqrt(1089)*2)) - (sqrt(13) + (-5*sqrt(65))\/sqrt(5) + sqrt(13) - (-5 + sqrt(52) - sqrt(13))).\nAnswer: -2 + 87*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*q + 691, 5*v + 362 - 1515 = 4*q. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -523156 - 14?\nAnswer: -523203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45038 is divided by 22400?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34424\/3 or -11474?\nAnswer: -34424\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/13)\/((-25)\/(78650\/(-363)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215429 is divided by 630.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264 - 14*p + 224 + 16*p + 262 to the form c*p + v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1935*j + 1951. Let b be y(-1). Solve -4*m = -4*t, -3*m + 4*t = 17 - b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*f + 4*q + 20, -3*f = -2*q - 70. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-2)*10*(-8)\/(-300).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 14*a**2 - 223*a + 6. What is the least common multiple of 1920 and l(16)?\nAnswer: 21120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392989 is divided by 947?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + 1.5. What is the second smallest value in 3, q, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(16\/3)*s**(-6)*(s**8)**(-10\/7) assuming s is positive.\nAnswer: s**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from opomi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f = 1129074 - 248234. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1 + 0)**2 - (4 + 2 + sqrt(1088))**2.\nAnswer: -80*sqrt(17) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2))**21*z\/(z*z**(-1\/17)*z)*z**(-4\/3)*z)**(-46))**(-13\/6) assuming z is positive.\nAnswer: z**(-659893\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1269 and 40?\nAnswer: 50760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 23508.75 grams?\nAnswer: 23508750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + (0 - -2) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 339787061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/497 and ((1664\/91)\/(-2))\/(11 + 0).\nAnswer: 5467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*((-4)\/15)\/((-2)\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 - -3 - 2) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21b2e4 (base 15) in base 13?\nAnswer: -4436b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 4*i**2 + 6*i - 7. Let p be d(5). Suppose 6 = -b + 2*s - 0, -5*s = 5*b. Are b and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323418 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5\/7 + 6*y**4\/7 - 267*y**3\/7 - 270*y**2\/7 = 0.\nAnswer: -10, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f - 5. Let b be p(-4). Let d(m) = m**3 - 8*m**2 + 11*m - 10. Does 13 divide d(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(-10)*f)))\/(f*f*f\/f**(4\/15))*f**(5\/3)*f**(-3\/7)*f)**(2\/35) assuming f is positive.\nAnswer: f**(-1994\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 31*b + 31. Let t be v(-1). Suppose 4*y + 4 = t*s, -s - y + 1 = 2. Which is bigger: -2\/19 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7476667.\nAnswer: 11, 103, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-45 - (-82 + -14)) - -38.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0103 and -0.2?\nAnswer: -0.00206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10)*8\/(-14))\/(411\/(-6165))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 531 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k - 7. Let a be 0 + (-17 - -1)\/4. Let z = 6 - -1. Let w(n) = -5*n - 4. Give a*r(i) + z*w(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/5 + 16802*y + 84008\/5 = 0.\nAnswer: -42004, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 10*d - 9*d + 7*d)*(5*d**2 - 4*d**2 - 2*d**2) in the form t*d + m*d**3 + b + s*d**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -560001*y**2 - 5*y. Suppose 4*f - 4*i + 45 = i, -10 = -2*i. Let t be x(f). Round t to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -810157022*r**4 + 19456*r**2 + 1750*r + 2?\nAnswer: -19443768528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/(-24)*(-92)\/(-8). Solve j*o - 18*o + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o + 14. Let y(c) = c**2 + 46*c - 45. Let b be y(1). Calculate x(b).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*s - 14*s + 24*s)*(8*s + 29 - 29) - s**2 + 2*s**2 - 3*s**2)*(7 - 2 + 1).\nAnswer: 900*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90 + 2a2?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 670001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*t - 6107 = -6097, 0 = -5*m + t + 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204) + -3*sqrt(204) + sqrt(204) + sqrt(204) + sqrt(204))*-5 + sqrt(204))*4)\/(-6*1*sqrt(12)*-2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1630, -3, -1, 0, 10 in descending order.\nAnswer: 1630, 10, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -136. Let o = 63 - k. Let l be o*4*(0\/2 + -1). Put l, -3, -1 in ascending order.\nAnswer: -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158624825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 673 - 14\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose 0 + 4 = 2*n. Solve n*l = -d*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)\/c*c*c*c**(-4\/3))**(-38)\/((c**(-2\/5))**(1\/4))**18 assuming c is positive.\nAnswer: c**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 8*w**3 - 5*w**2 - 38*w - 24.\nAnswer: -(w - 6)*(w - 4)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -51)*(-2)\/6. Let j be x\/(-4) - 11\/44. Suppose -5*v + 8 = -4*i - 28, -5*i = -j*v + 36. What is the second smallest value in -5, i, 3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(1\/4))\/d*d)\/d**(-3))\/(d**(2\/19)\/d**(7\/5)))\/((d**(-1)*d)\/d**(-2))**(-1\/26) assuming d is positive.\nAnswer: d**(25301\/4940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/16 - 9*i**3\/8 + 15*i**2\/4 + 39*i. Determine f, given that z(f) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 604 - 50*q**2 + 606 + 8*q**2)*(-2 + 5 - 4).\nAnswer: 42*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*o**2 + 5020*o**3 - 5003*o**3 - 1555*o**2.\nAnswer: 17*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 17 = a. Suppose v + a + 1 = 0. Does 11 divide 81 - 10*(-2)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*r = 417*r + 178*r - 7920 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 3*g**2 + 3*g)*(-2*g + 3 - 3)*(-5*g - 4*g + 0*g) as z + s*g + v*g**3 + n*g**4 + l*g**2 and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51308*n - 102627*n + 51317*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 307317969\/2882 + -2106959985827\/28820. Let r = -73001139 - o. Let n = r + 2230\/11. Calculate the common denominator of n and -17\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + -187. Let j = 213 + b. Factor j - 8\/5*l + 12*l**3 - 4\/5*l**2.\nAnswer: 4*l*(3*l + 1)*(5*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5873777 + 83?\nAnswer: 5873871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 50 - 25 = 0. Is (3 + -234)*(-5)\/v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - o + 3*o - 2*o - 4*o**2. Let d = -144 + 143. Calculate j(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13994, 56192, 126532, 225020, 351662, 506464, 689432?\n\"Answer: x**3 + 14065*x**2 - 4*x - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, d: 7, k: 1, b: 1}. What is prob of picking 1 k and 1 q?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 10*d**2 - 50*d - 350. Calculate s(-9).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -13*r + 34*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 = 4*y - 4, 1 = d + 4*y. Suppose 0 = 2*s + d - 7. Let u be -2 + 0\/(-1) - -2. Solve u = s*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 25742006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*f**6 - 930*f**3 - 4970*f**2 - 6.\nAnswer: -8280*f**3 - 5580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 2 = 7*w. Suppose -8*b = -w*b + 18. Let x(d) = -2*d**3 - 8*d - 7. Let j be x(b). What is j rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(14) - sqrt(14))*-5)\/(sqrt(800)*2).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 307872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 3*j**2 + 3*j. Suppose 181 = 3*z + 2*z - 2*o, 0 = -3*z - 3*o + 96. Let q(a) = -25*a**3 - 35*a**2 - 35*a. Give z*n(t) + 3*q(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**4\/12 - 258*h**2. Let g(q) = -87*q. What is y(g(b))?\nAnswer: -174*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, -79 in ascending order.\nAnswer: -79, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31905 = -5*s - 5*n, -n - 11 = -7. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -995, -3596, -7933, -14006, -21815?\nAnswer: -31360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -533\/436 - 3\/109. Put 3\/7, -2, m, -22 in increasing order.\nAnswer: -22, -2, m, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 2, 0.1, 7, 0.16 in descending order.\nAnswer: 7, 2, 0.16, 0.1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 19. Let n = 77734953 + -77734943.9999926. Let b = n + g. What is b rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379.5695 kilometers to micrometers.\nAnswer: 379569500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122961 - -50977. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 + 178*c + 3*c - 40)*(-2*c**2 - 3*c**2 + 4*c**2) in the form w*c + u*c**3 + b + t*c**2 and give u.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**4 + 1202*n**3 + 13*n - 52380.\nAnswer: 8*n**3 + 3606*n**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Let t = 18 + y. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40420 (base 6) in base 12?\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.127 (b) 3 (c) 0.51 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*c**2*s**5 + 19*c**2*s**4 - c**2*s + 34*s**2 + 6*s wrt s.\nAnswer: -720*c**2*s**2 + 456*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -2*i**6\/15 - 212*i**5\/5 - 5618*i**4 - 1191016*i**3\/3 - 15780962*i**2 + 2*i + 2. Find t such that v(t) = 0.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-408)\/8 - (-2)\/1. Let p(k) = 43*k + 2. Let q be p(2). Let y = c + q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -199*a**7\/7 + 755*a**4\/12 - 2*a - 116. What is the third derivative of p(z) wrt z?\nAnswer: -71640*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 279 + 279.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.82 + -0.18. Let b = -7.1 - m. Sort b, -1, -3 in decreasing order.\nAnswer: b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 2, 14, -2.\nAnswer: -2, 2, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284798420.\nAnswer: 2, 5, 23, 113, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = 2*g, -3*c = -4*g + 2 - 3. Let p(r) = r. What is the lowest common multiple of p(2) and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 164 = 7*q. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-8)\/f)\/((f\/f**(-1))\/f)*f**(-9\/5)*f**4 assuming f is positive.\nAnswer: f**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/26934 + -102497\/49379. What is the common denominator of j and 87\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -39550\/3 and -13184 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*p - 7 = 0, -2*p - 3*p = 25 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1082\/117 + 86\/9. Let t = 20 + -9. Let l = 9 - t. What is the smallest value in i, -3\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:00 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {v: 6, g: 1, x: 1, j: 7}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + z. Let o be v(-2). Suppose 7*f - 15 = o*f. Let d(x) be the second derivative of -x**4\/12 + x**3\/3 - 2*x. Give d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657 - 625 + 94*m + 1284.\nAnswer: 94*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 361 - 361 + 55*t + (-3*t + 0*t + 4*t)*(2 - 1 + 2) to the form b*t + i and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:37 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -593664 divided by -256?\nAnswer: 2319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 - 9*g**4 - 14148*g**3 - 3*g**2 - 207466 wrt g.\nAnswer: 120*g**2 - 216*g - 84888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1\/2 (c) 16\/7 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -16*w**2 - 643*w - 85. Determine g(-40).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 2*h**3 + h**3 + h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 600\/5336 - (3276\/(-299) - -11)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*r - 10 + 34, -5*q = r - 60. What is the smallest common multiple of q and 3372?\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*f. Let h(v) = -3*v - f*v**2 - 4*v + 7*v. Let r(c) = -c. Determine h(r(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -265?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvyayyyayaav. Give prob of picking 1 y and 1 a.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -2305*a**6\/6 + 329*a**3\/3 + 2608. Find the third derivative of b(t) wrt t.\nAnswer: -138300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058 is divided by 321?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14002*w + 14005*w - 20 = -5*x - 0, w = -7*x + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -4042033?\nAnswer: 4042041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -26*p + 2309. Let m(j) = 4909*j. What is x(m(y))?\nAnswer: -127634*y + 2309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 759 - 143. Suppose -y - t = -5*y. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 437002.4 micrograms?\nAnswer: 437002400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3 + f + 0*f + 0. Let o be c(5). What is the derivative of 3 + 8*j**2 - 7*j**o - 4 wrt j?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from bbs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c*d**3 + 277*c*d - d**3 - 2574*d wrt c?\nAnswer: -4*d**3 + 277*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2.3 (c) -8.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -182089, -7, 0.3 in decreasing order.\nAnswer: 0.3, -7, -182089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 498.9237 millilitres in litres?\nAnswer: 0.4989237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3938 and 2816.\nAnswer: 504064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -17*y**3 - 15*y**2 + 2*y. Let k = -34 + 23. Let b(a) be the first derivative of -8\/3*a**3 - 9\/4*a**4 + 0*a + 1\/2*a**2 + 1. Give k*b(d) + 6*q(d).\nAnswer: -3*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 44550 in ascending order.\nAnswer: -3, -2, 44550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64516, 257961, 580372, 1031749, 1612092, 2321401?\nAnswer: 3159676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**5 - i**2 + 0*i**4 + 0*i + 1\/6*i**3 + 0 - 1\/40*i**6. Differentiate w(o) with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -23. Suppose 0 = -5*m - 2*v + 140, a*m - 5*v - 39 - 46 = 0. Let g = -12 + m. What is the lowest common multiple of 8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/3 and 53\/270657?\nAnswer: 270657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g + 1 + 2*g)*(0 - 4 + 3).\nAnswer: -4*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 20*b - 11592 = 0. What are the prime factors of b\/24*(-408)\/9?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.59 - -94.99. Let d = o + -88.4. Let k = -3 - -7. Sort d, k, 0, -0.3 in increasing order.\nAnswer: -0.3, 0, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 1. Let l be 9\/(1\/4*6). Suppose -l + 4 = b. Determine w(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -2\/65, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Suppose 0*j - 2*j - 17 = -5*n, 5*n - 45 = -5*j. Suppose -2*y - 25 = -5*i, -2 = 5*i + 4*y + 3. Put n, g, i in decreasing order.\nAnswer: n, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 200, 27, -260, -661, -1176?\n\"Answer: -57*w**2 - 2*w + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40986252 and 334855.\nAnswer: 204931260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91124 divided by 22781.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5852 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*a + 9 = 0, 5*a - 3*a = o + 2. Let b = o - -8. Put -2, 2, b in ascending order.\nAnswer: b, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k = 51*k - 70 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-37)*y**(-2\/9)\/y**(-5))\/((y**(-1))**(3\/7))**(-20) assuming y is positive.\nAnswer: y**(2092\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w**3 - 3*w**3 + 47*w - 45*w - 7*w**3 + 4*w**4 to i + l*w**2 + t*w**3 + m*w + j*w**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 946*y**4 + 17*y**3 - 69*y**2 + 135454*y + 41 wrt y.\nAnswer: 11352*y**2 + 102*y - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -104. Let z(c) = c - 1. Let l be z(5). Suppose -l*g - q*k + 37 + 95 = 0, 0 = -g + 5*k + 22. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0.1. Let j = -11576\/7 + 1654. What is the closest to j in -2, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859308435.\nAnswer: 5, 371861687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, h: 3, d: 2}. What is prob of sequence hdhd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2305 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 9*u**2 + 10*u - 4. Let t be z(-10). Let k(h) = 0*h**2 - 4*h**2 + 2*h + 5*h**2 - 5. What is the units digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 12:23 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*v + 20, 3*b + 396 - 365 = 5*v. Solve -39*h - v*h = 308 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.929 - -0.912. What is y rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 21. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584728677 to the power of 1\/3, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0002 * -58\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 384961 minus 0.3?\nAnswer: 384960.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2085 divide 97771679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 4, -2467\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4704 + 24*t**2 + 4617 - 9328 + 15*t**2.\nAnswer: 39*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-5))\/((-456)\/(-60)). Let f = -999 - -999.01. Are f and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13984 + -6234. Is 229 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-87)\/(-8 - -4 - -1). Calculate the highest common factor of b and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 10 = 6. Suppose -4*p + l*t + 2256 = 0, -3*t = -8*t + 20. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**3 - 3*a**2 + 2*a + 1. Let k be d(2). Let w = -32 + k. What are the prime factors of (w\/(-2))\/((-7)\/434)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 - 4*o - 152. Determine r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 17. Let b be d(7). Let x = -21 + b. Calculate the remainder when 8 + (0\/2)\/1 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*l**4 + 118*l + 521.\nAnswer: -256*l**3 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -549, -725, -971, -1287, -1673, -2129?\nAnswer: -2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1741 + 1740.999988904. What is u rounded to seven decimal places?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 19. Let r be x(-15). What are the prime factors of (26\/(-4))\/((-2)\/r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) -1 (c) 0.5 (d) 3\/5 (e) -1\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2274 + -2255. Solve 12*x = 5*j + 15*x + 11, -j + 5*x - m = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 4*n + n)*(0 - 1 - 1 + (-3 + 1 + 1)*(-2 + 2 - 1) + 3 + 1 - 2 - 1 + 1 + 2) to z + v*n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -594 + 157. Let s = -120 - u. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-66)\/(-15))\/(-11) - (-98)\/(-30))*3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3*b - 2*r + 22 = 0, b = -4*r - 26. Let j be ((b + 3)\/14)\/(1\/2). Is 4\/39 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**2 - 3*l + l + 12*l**2 + 5*l to the form u*l**2 + o + m*l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 + -4.428. Let t = m + 0.028. What is the nearest to -1 in -1, t, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -9*d + 0 + 1\/3*d**2 = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6840.16 - 6731. Let m = s + -106. Let q = m - 3.15999853. What is q rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*i**4*y**3 - 3*i**4 + i + 2*y**3 - y**2 + 55*y wrt i.\nAnswer: -104*i**3*y**3 - 12*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 99*h - 8 + 34*h**2 - 112*h + 39*h**3 - h**3 - 1. Let u(m) = -13*m**3 - 11*m**2 + 5*m + 3. Let v(a) = -4*n(a) - 11*u(a). Find d such that v(d) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 - 3*l - 5. Let v be m(5). Suppose -r - 10 = -v*z + 1, 6 = 5*z + 4*r. What is the units digit of 2\/2 + (z - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**2\/9 + 9683*n\/9 + 129640\/3 = 0.\nAnswer: -40, 9723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:03 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/(-3) + 2)*-6. Let o = c - -2. Let a(l) = 10 - l + l - l - 5. Determine a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/5*(-2)\/6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 688211 (base 10) to base 5\nAnswer: 134010321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/7 - 15*b**4\/7 + 73*b**3\/7 - 15*b**2 - 74*b\/7 + 120\/7 = 0.\nAnswer: -1, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*h = 69*h + 20, -2*h = -s + 3980. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/7 - 1138*l\/7 - 2284\/7 = 0. Calculate l.\nAnswer: -2, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 4. Which is the third biggest value? (a) r (b) 1\/46 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k. Let f be p(1). Let s(z) = z + z + 28725 - 28723. What is s(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 66*o**2 + 114*o + 1. Give w(-5).\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*n**2 - 401 - 94*n**2 + 797 - 396.\nAnswer: -179*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3\/((-6)\/(-4)). Let v be (2 - -1) + (r - 1). Let d = -175 + 695\/4. What is the closest to v in 5, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -48152\/1165 in descending order.\nAnswer: 5, -1, -48152\/1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 72*b - 460.\nAnswer: 4*(b - 5)*(b + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 4*i + 3*i - 3*i - 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1198*m**2 + 2458*m**2 + 4995 - 1477*m**2 - 20*m**4 wrt m?\nAnswer: -80*m**3 - 434*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 2*m**2 + 1\/2*m**3 + 1\/8*m**4 + 1\/60*m**5 + 0 + 0*m. Let b = -315 - -311. What is d(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k - 10. Let c(r) be the first derivative of -5*r - 3\/4*r**4 + 0*r**2 + 5 + k*r**3. Differentiate c(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36, 121, 264, 465, 724, 1041, 1416?\n\"Answer: 29*u**2 - 2*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 19. Let x be q(-7). Let b be (-6)\/9 - (-11)\/12. What is the nearest to b in x, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1201.2035 + -1205.6. Let f = h - -4.3. Let r = f - -0.077. Round r to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/5, 3, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 132*v**5\/5 + 106*v**4 + 368*v**3\/3 + 48*v**2 - 3644. Suppose q(l) = 0. What is l?\nAnswer: -2, -2\/3, -6\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, -4, 2\/3, 1\/2, -0.4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - k - 22. Suppose -2*a + x = 6*x - k, 2*x = 3*a - 26. Calculate the greatest common factor of 20 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 205 = -3*n - 22, -235 = -5*k + 5*n. Suppose 0 = -5*f + m + k, 2 + 4 = 3*m. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.699853 times 145?\nAnswer: -101.478685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in nineteen quarters of a microsecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94801705 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + (0 + (0 + sqrt(80) - sqrt(80)))*2 + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y + 38*y + 172*y - 15*y.\nAnswer: 177*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/14)\/((-10)\/70). Suppose -o + 7 = -t + 2, -t = o + 5. Put o, i, 1 in increasing order.\nAnswer: i, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*r - 77430 + 147208 = 0 for r.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 7*z + 8. Let k be d(-6). Suppose -3*h + k*h = -3. Calculate the remainder when (-12)\/(-10)*40\/6 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-3 - (42 + -18))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = h - 13, -h + 1 = -2*d - 7. Solve -13*i = -h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -328*w**2 + 809*w + 1624. Calculate l(-2).\nAnswer: -1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1632, 4 in descending order.\nAnswer: 4, 3, -1632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -172840 divided by 4321?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 + 143. Solve l = -0*f - 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) -5 (c) -7118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/70)\/(66\/20)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 1897. Let v(u) = -11*u + 1. Let x(w) = -9*w + 1. Let s(z) = -v(z) + x(z). Give q(s(a)).\nAnswer: 4*a + 1897","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -338 + 343. What is the lowest common multiple of x and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14037681 to the nearest 100000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 1, f: 1, h: 2, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -624 - -634.704. Let w = x + -10.7. Let b = 0.396 + w. What is the second biggest value in b, 4, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(-9 - 1 + 2) + 213 + 166 - 439)*(-2 + 2 + 2*w**2).\nAnswer: -88*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4500 or -4498?\nAnswer: -4500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3660436 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/(4\/6). Let n be (-1 - -4)\/(f\/1). Suppose -n*s + 30 = -0*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.7. Let u = 4 + -6. Let m = u + 6. Which is the closest to -2\/5? (a) 1 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35187?\nAnswer: 3, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/40, 7\/739, -5?\nAnswer: 7\/739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+0.05867504\nAnswer: -0.24132496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5601 + 1031*b**2 - 5601 + 71*b.\nAnswer: 1031*b**2 + 71*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 2*m - 2*m)*(-41 - 37 + 76 + 5*m**2 + (5*m + 0*m - 4*m)*(-3*m + m + 3*m)) in the form g*m**3 + p + x*m**2 + k*m and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = 2*u. Sort -4, u, 2 in decreasing order.\nAnswer: 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 390, -0.1, 1 in decreasing order.\nAnswer: 390, 1, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 705622*q - 13406457.\nAnswer: -(q + 19)*(q + 705603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/11 + 3670*a**3 + 848742*a**2\/11 - 165326*a + 929476\/11 = 0.\nAnswer: -23, 1, 20206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - (sqrt(187) - (sqrt(187) - (-2*sqrt(187) - sqrt(187) - sqrt(187))))*5))\/(sqrt(11)*2*4))**2*2 + 2.\nAnswer: 2073\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 479553 to the power of 1\/2, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96.64 - -99. What is the third smallest value in -0.3, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 15*f + 53. Let i be q(10). Find the third derivative of -86*o**i + 153*o**2 + 165*o**3 + 15*o**4 - 81*o**3 wrt o.\nAnswer: 360*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85503232777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.3 - 42.3. Let n = l + 43. Let p = n + 5.6. Put 2, 1, p, -2\/9 in decreasing order.\nAnswer: 2, 1, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (714\/153)\/(11\/(-33))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 72 = 4*i, -2*i = -b - b + 34. What is the lowest common multiple of b and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 7592142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/l**(-10))**(-2\/27)*(l**(5\/6)\/(l\/l**(-2)))**4 assuming l is positive.\nAnswer: l**(-266\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 471552 - 4?\nAnswer: 471546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -740.373.\nAnswer: -740.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689138 is divided by 229711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8059 divided by 57.\nAnswer: 8059\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166.5 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {r: 6, z: 3, u: 1, t: 8}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 2*h**2 - h - 69. Calculate q(0).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 - 10*h - 9. Let c be i(-6). What is the greatest common factor of c and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/18)\/(-1) + 101145\/(-135). Let o = a + 1080. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3.7. Let i be (112 - 0)*5*207\/(-180). Let o = -643 - i. What is the third biggest value in l, o, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - t = 557 - 1460, 5*t + 2749 = 3*g. Let w = g - 532. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + -4 + (1*sqrt(500))**2 + (-5*sqrt(500)*-2)**2 + 1.\nAnswer: 50490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:37 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/11)\/y)**(1\/2)\/((y\/y**(3\/8))\/(y\/(y*(y**(-3\/10)\/y*y)\/y))) assuming y is positive.\nAnswer: y**(-3\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 14 = 24*o. Suppose 2*n = o*i - 764 - 40, 4*i + 4*n = 1592. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:09 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - a)*(-a**2 - 4*a**2 + a**2) - 2 + 2*a**3 + 2)*(3*a - 2*a - 2*a) to the form d*a**4 + k + y*a + o*a**3 + q*a**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 21*i**2 - 2*i - 14. Is t(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72642900 to the nearest one hundred thousand.\nAnswer: 72600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73869 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s - 9. Let g be a(-7). Let t = 9 + g. List the prime factors of t.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 + -23 + -21)*((-363)\/44)\/(-3 + 4).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 598, 563, 520, 463, 386, 283, 148, -25?\n\"Answer: -l**3 + 2*l**2 - 34*l + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + v + 3. Calculate a(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06100594 to 5 dps.\nAnswer: 0.06101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8927163 is divided by 2224?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.99\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c. Suppose 0 = -37*f - 3*f + 40. Solve f + c = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678 is divided by 2667.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2022*x - 11. Let r be h(12). Suppose n = -o + 46279, 0*n - 4*o + 138841 = 3*n. Let u = n + r. Round u to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7*k + 5*a - 167, -5*k - 5*a = -210. Let m = 48 - k. Solve -m*t + 4*u + 3 + 3 = 0, 2*u + 14 = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55089 + -604644\/11. Let y = a + -148658\/1221. Calculate the common denominator of 19\/9 and y.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -31*y + 8127. Is 42 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*i + 316*i + 528*i + 93*i to the form g + x*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 4*l + 9*l)*(321*l - 42*l + 111*l - 116*l) to i*l + o*l**2 + t and give o.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - 2*z + 0*z**3 - 3871*z**2 - z**3 + 3871*z**2 + 1197 to n*z**3 + k*z**2 + p*z**4 + o*z + m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 37. Let j = 13 - n. What is the second smallest value in -0.4, 2\/9, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1824.14 and 3?\nAnswer: 5472.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = -3*o, -3*i + 4*o + 2 = 0. Suppose i*c - 4*c = 162. Let p be -2800*(c + 4)*-50. What is p rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5066*i + 829*i + 78*i.\nAnswer: 5973*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -122*t**2 - 26614*t - 82559. What is f(-215)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 55.8. Which is the nearest to 1? (a) u (b) -1 (c) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (17 - 45 - -26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -23. Let f be (-2 - 2) + u\/((-3)\/(-2)). Let v be (5 - (-10)\/(-3)) + 4\/f. Solve 0 = 3*c + 4 - v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4534 - 3119. What are the prime factors of p?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12069338 to three dps.\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(-7))\/j)\/j**(-1\/4))**(4\/7))**(-15) assuming j is positive.\nAnswer: j**(-435\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 9)*(-2)\/(-4). Suppose -46*t + 210 = -31*t. Let i be (-38)\/(-14) - k\/t. Solve -1 - i = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -241, -302, -377, -472, -593?\n\"Answer: -j**3 - j**2 - 51*j - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -11.970799761058\nAnswer: -33.970799761058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.19221276 and -0.2984373.\nAnswer: -0.10622454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -18, -24, -32?\n\"Answer: -k**2 - k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89346 - 49895. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36492839 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10660.05168 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5783940.\nAnswer: 2, 3, 5, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 0 + 5\/1 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 18*k**2 + 16*k + 44. What is o(-17)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(1377) - (sqrt(1377) + -1 + -5))**2 - ((2*sqrt(1377))**2 + -4 + -4*(sqrt(1377) + 1)).\nAnswer: -5491 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -16*o**2 - 131*o - 244. Give q(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*(1 + sqrt(1300)) + -5 - -3*(0 + sqrt(1300))*6))**2*-6.\nAnswer: -11263584 + 36480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 64 + 30 = 2*i, i - 37 = -3*l. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 - 9 = 0. Let g be (x\/(-8))\/(3\/(-36)). Suppose 40 = p + g. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-3) - (1 + -4). Suppose -v - t = -4*f + 4*v, 4*v = -20. Sort f, 3, 2 in descending order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 474.644 to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = z - 33, -2*s - 262*z + 269*z = 83 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 45 = -3*u + 4*s - 105, -u = s - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -184*f**3 - 8*f**2 - 73*f - 12. Let b(h) = 367*h**3 + 15*h**2 + 134*h + 22. Let u(l) = -6*b(l) - 11*j(l). What is u(-1)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeeeeyyeeee?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.22 + -0.22. Let h = -7\/18 - 1\/9. Let p = -2 + 3. Which is the smallest value? (a) p (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -7\/2*f**2 + 4*f + 6. Let t(b) = -b + 1. Determine -5*t(m) + y(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310343 + -1442?\nAnswer: -312340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 1, 0 = -5*u + 3*k + 18. Let w be u\/1*30\/(-405). Is -20 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/498788140 and -109\/249394070.\nAnswer: 498788140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbpbobp. Give prob of picking 2 p and 1 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 7*r**3\/6 - 8*r**2 + 3*r. Is c(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442319733?\nAnswer: 3, 49146637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a*a**1*a))**(-2\/13))**(-5\/3)*(a\/a**(1\/4))\/(a*a\/(a**6*a))*a**1*a\/(a\/(a\/(a\/a**(1\/2)))) assuming a is positive.\nAnswer: a**(971\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -520644174\/5 not equal to -104128834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*(-7)\/84 + 1201211\/4. Let p = 832824 + -232522. Let j = p - a. What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191272209 or -191272208?\nAnswer: -191272209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -854827?\nAnswer: -854827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -0.2. Let y = 8.98 - 9. Let v = 0.22 + y. What is the closest to 0.1 in v, n, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 89 + 829 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7*n + 9 = 0. Suppose -3*a + 3*p - 3 = n, 0 = 2*p - 8. Solve -a*m + 5*c + 8 = 0, 3*c = -3*m + 6 + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 0*a - 2*a + (-4 + 4 + 21)*(4*a - 6*a + 3*a))*(-2 + 4 - 6) as h*a + o and give h.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + n)*(1 + 2 - 1) + 0*n - n + 0*n + n - 1 + 1 + 3*n - 4*n + 2*n + (-5 + 1 + 2)*(3*n + 2*n - 6*n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54206 is divided by 159.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 - 35*a**3 - 97715*a**2 + 5087675*a + 34029750 = 0. Calculate a.\nAnswer: -157, -6, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3148 + -2576. What is the highest common divisor of 416 and z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 at least as big as 649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:29 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21611*v - 3155231. What is s(146)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 3*l**2 - l**2)*(2 - 2 - 2*l) + 1 + 2*l**3 - l**3 - 461*l**2 + 471*l**2.\nAnswer: 5*l**3 + 10*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {w: 2, k: 2, y: 9}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.14 (c) 1\/11 (d) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 - x**3 - x - 2 + 0*x**3 + 7*x**2. Let k be n(2). Let c(j) = k*j - 7*j + 6*j + 5*j. Let y(t) = -3*t**2. Give c(y(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 c when four letters picked without replacement from csccccscccc.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -450793 divided by 58\nAnswer: -450793\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-40)*7\/14*-1*56.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104.031515 - -113.2314951. Let d = 26.2 + -17. Let i = d - w. What is i rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - 1\/((-3)\/58). Let j be 8\/6*6\/2. Calculate the greatest common divisor of d and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 2*j**2 + 1 + 1 with respect to j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.34 - -0.3. What is the third biggest value in t, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 2*t + 2. Let b be a(3). Suppose 4*o - 11 = b. Suppose -13 + 3 = 5*z + 4*k, o*z = -5*k - 17. Solve w + 3*x = -w + 9, 4*w = z*x - 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/500*-5*(-24)\/(-14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 344146400 a multiple of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -4\/3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -14*v + 1. Let k(p) = 1. Let w(q) = c(q) - 5*k(q). Suppose 485*f = 19332 - 5267. Calculate the remainder when w(-4) is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5517871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*u + 11 = -4*k, k + 4*u = 19. Suppose 8*i - k*i = 5. What is the third smallest value in 3\/5, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*j = 7, 4*p - 4*j + 3 = 3*p. Let f be (-1 + 0\/p)*1. Let v = f - -1. Solve 2*u - 4*k + v - 16 = 0, -k - 1 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1050)\/945 - 6230\/63)\/2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32\/11, -5, -3?\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34 and -28\/405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*p = -4, 0 = -4*d - 0*d - 3*p + 29. Calculate the lowest common multiple of 3 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 578633538 and 933?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526 = -201*l - 230 + 6384 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 78174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o - 4. Let a(q) = -6*q + 2. Let r(j) = -7*a(j) - 4*g(j). Let v be -1 - -2 - 4\/2. What is the units digit of r(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -489985\/217 + 2258. Calculate the common denominator of s and -59\/124.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 0*g = -g - 3 - 28, 482*s + 54*g = 59*g + 3354 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (6 + (-9 - 1) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28968530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 35. Let t = -11.5 + z. Let d = 90 - 94. What is the smallest value in -1\/9, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.8 + 4.8. Let o = 114 + -116.4. Which is the closest to 2\/7? (a) -1 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 4:13 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1021370 divided by 2.\nAnswer: 510685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 731851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7089510 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, -25, -41, -11, 59, 163, 295, 449?\n\"Answer: -z**3 + 32*z**2 - 157*z + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 13*k - 7. What are the prime factors of z(10)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*d - 69, d + 17 = -3*h + 4*h. Suppose 2*p - 50 = h. Suppose 2*m + p = 35. Solve -o + y + 6 = m, -3*o + 0*y + 4*y = -21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660831.7m in centimeters?\nAnswer: 66083170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112775 and 29217747?\nAnswer: 4511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*h**4*s + h**4 - 16*h**2*s - 8*s wrt h?\nAnswer: 528*h*s + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*s**2 + 70*s - 18 = 0. Calculate s.\nAnswer: -9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 3, 23, -9, 0 in descending order.\nAnswer: 23, 4, 3, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-5)*1*(3732\/748 - 5)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7668086\nAnswer: -2\/3834043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1615, -3274, -5193, -7504, -10339?\nAnswer: -13830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51753.45 centuries?\nAnswer: 62104140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/6 + 7*o**3\/6 - 4*o**2 + o. Is r(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 1, -2, 5.\nAnswer: -99, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1091625*h + 2183716*h - 1091901*h.\nAnswer: 190*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*b - 223 + 271, 5*t - 40 = -5*b. Solve 10 = -b*q + 15*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*o + 75*o - 36*o - 97*o.\nAnswer: -259*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -559 - -869. Which is smaller: 309 or z?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 2826*l - 20033. What is f(7)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 - 3*d - 9. Let u be x(-7). Let p = -54 + u. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1355130443 - -257.\nAnswer: 1355130700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -321640.92?\nAnswer: 321640.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -1 - 11*u**2 + 0 - 13 - 9 + u. Let z(g) = -5*g**2 + g - 11. Let w(l) = 4*d(l) - 9*z(l). List the prime factors of w(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/6)\/(3\/9). Let p = -8 - i. Solve -3*t = -p*d - 1, 0 = -2*d - 3*t - 2*t + 23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*h + 134*h - 279*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519893368?\nAnswer: 2, 59, 373, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + 3\/(3\/47) is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 25*n - 292. Let l(x) = -5*x - 3. What is -k(g) - 4*l(g)?\nAnswer: -5*g + 304","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1850, -1810, -1768, -1724, -1678?\n\"Answer: z**2 + 37*z - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 340 - 12?\nAnswer: 32d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = 4*r. Let l = r - -1. Suppose -l*t + 3 = -3. Solve 0 + t = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*x + 31, -10*w + 7*w + 25 = -5*x. Solve w*k - 2*k - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from effnre.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 7*f = a - 108, 4*a - 3*f - 317 = 0. Let p = a - 89. Calculate the lowest common multiple of -3 + (500\/(-30))\/(4\/p) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6487.721 to the nearest ten.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 30*a**2 + 33*a - 87. Is f(-26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6864 a factor of 38277557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90223.\nAnswer: 7, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*g + 807 + 8 = 0, -5*b + g + 4139 = 0. Is 48 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*-3*(-8)\/(-6). Suppose 0 = -2*y - u + 8, 4*y - 6*u - q = -u. Solve -6*k + y*k = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (297\/(-18) + -10)\/((105\/10 - 5) + -5).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + a - 12 = -55, j - 4*a - 40 = 0. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3 - 3 - k - 3. Suppose 8*f = -32 - 8. Let g be i(f). What is the smallest value in -9, g, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 16, -2, -5 in ascending order.\nAnswer: -5, -2, 0, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*p**3 + 17*p**3 + 6*p**3 - 17*p)*(-326 + 13*p**2 + 326).\nAnswer: 26*p**5 - 221*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -84 + 2*y + 250 - 78 + 4*y - 91. Let m = -8 + 5. Let g(u) = 5*u - 2. What is m*t(w) + 4*g(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 11.7 (c) -1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-9)\/(-3)))\/((-16)\/24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1233?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -264*r - 1322. Determine q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1236\/306)\/(3856\/98328)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 5*o + 8*o - 5*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 17 + 34. Let g be ((-19550)\/i)\/((-3)\/36). Round g to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, d: 4, i: 2}. What is prob of picking 1 s and 2 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -17*q**2 + 2*q - 2. Suppose 0 = 3*v + y - 4, 3*v = -v + y + 3. Let g be s(v). Let h = g - -29. Which is smaller: h or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13789.\nAnswer: 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2) + 2 + 0. Suppose -153 = -m*b + 175. Suppose -14 = 5*l + 4*n - 123, -4*l + b = -2*n. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r - 170 = 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -89*u + 2. Let h(k) = -3087*k**2. Give m(h(p)).\nAnswer: 274743*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, 3, 2 in decreasing order.\nAnswer: 20, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + 7*x**2 - 8*x - 1. Let u be b(2). What is the third smallest value in u, -1\/2, -0.07, 17?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 6*i**2 - i - 1. Let g be h(-6). Let z = 316\/485 - 5\/97. Which is the nearest to 1? (a) 1\/7 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61210021 - 4?\nAnswer: -61210025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (0 - 2 - -2). Suppose i = 10*r - 15*r + 30. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 - -5) + (-5)\/(5\/(-4)). Let m(a) = -3*a + y*a - 6*a + 22*a. Determine m(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000701225233 rounded to 5 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42820 and 233634484.\nAnswer: 8564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5989408 and 33440?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15863281957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328345 - 177336 - 98824 = -29*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 308*a**2 + 50*a - 224. What are the prime factors of t(4)?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 12:38 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a. Let k(l) = 101*l**2. What is o(k(t))?\nAnswer: -606*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -2\/9, -10947 in increasing order.\nAnswer: -10947, -94, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3800575 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -485*n**2 - 17*n**3 + 15*n**3 + 485*n**2 - 201*n**3.\nAnswer: -203*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*q + 1304*q = 51630 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o**2 + 5. Let a(k) be the first derivative of 9 + 0*k**2 - 5*k - 13\/3*k**3. Let m(j) = -6*a(j) - 5*v(j). What is the derivative of m(g) wrt g?\nAnswer: 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, a: 4, n: 2, x: 5}. Give prob of sequence pan.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = 5*b - 4, -b = -5*w + 8. Let j = w + 3. Factor -16*y**2 - 4*y**j - 24*y**3 - 3*y - y + 0*y - 16*y**4.\nAnswer: -4*y*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2693 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74 - (-152 + 13)) + 16.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610041533.\nAnswer: 37, 59, 279451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2 - 8. Let a(b) = b**3 + 7*b**2 + 5*b - 5. Suppose -2*t + 7*t + 202 = 3*n, 4*t + 20 = 0. What is the remainder when n is divided by a(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 832 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101101 (base 2) in base 3?\nAnswer: 200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -731641*q**3 + 117579*q**2?\nAnswer: -4389846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 431, 2, -1, -4, 63 in decreasing order.\nAnswer: 431, 63, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let g(r) = 16648*r. Give g(n(b)).\nAnswer: 16648*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 779, 1162, 1545, 1928, 2311?\nAnswer: 2694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s - 12. Let c(q) = 54*q - 7. Let b be c(3). Suppose 0 = -s*p + p + b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -10 + -21 + (-6 - (2 - 31))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -155961, -311939, -467917?\n\"Answer: -155978*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -14 (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23556.\nAnswer: 2, 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4838*r - 4888*r = 70, 3*r + 18 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6)\/h**(-1))\/(h*h*h**(1\/8)*h\/(h**(-4)*h)) assuming h is positive.\nAnswer: h**(-127\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(17) + 0 - (sqrt(425) + 1)**2.\nAnswer: -425 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -43. Suppose -4*z + 2*z + 5*k = -29, 0 = 4*k + o. Suppose 0*w - 3*m = -z*w - 5, -3*w + 3*m = 3. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/b**(-13)))\/(b*b**9*b*b))**(2\/15)\/((b\/(b*b\/b**2))**(-37)\/(b**(-1\/2))**(-5)) assuming b is positive.\nAnswer: b**(1081\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(1*(16 - 1)). Let q = -12 + 11. Sort 0.3, q, v.\nAnswer: q, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1159, 1154, 1137, 1102, 1043, 954?\n\"Answer: -n**3 + 2*n + 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + a + 5. Let u be y(0). Suppose -13 = -u*h + 7. List the prime factors of (-2)\/h + (-52)\/(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 62 = 10*c - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-136)\/(-5) - ((-93)\/(-15) - 6). Suppose 8*g = -g + j. Solve g = -3*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6918.876 milligrams?\nAnswer: 0.000006918876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.4 - 6. Suppose 2*q = -2*l + 28, 0 = 3*q - q - l - 22. Suppose 4*w + z = 19, q = w - 4*z + 3. Put w, 0, y in ascending order.\nAnswer: 0, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6\/7 (b) 4\/9 (c) 1 (d) -0.008 (e) 298 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 4*d + 3*d)*(-1 + 0 + 3) + (4 + d - 4)*(3 - 6 + 5)*(0 + 4 - 3).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9302933 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((2\/(-4))\/((-7)\/63)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*u + 4*c + 416, 4*u + 2*c = 392. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 45*t**3 + 9*t + 5. Let r(o) = -11*o**3 - 2*o - 1. Calculate -2*k(s) - 9*r(s).\nAnswer: 9*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 104510015 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*(-210)\/40\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1872) - sqrt(1872)*2)*1 + (sqrt(1872) + (1 + (sqrt(1872) - -3*sqrt(1872)) - sqrt(1872)))*-3)**2.\nAnswer: 1008*sqrt(13) + 366921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 524431*k**4*m + 416*k**2*m + k**2 - 42 wrt k?\nAnswer: 12586344*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 2:50 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -53.3. Let n = 0.7 + m. Let i = -2 + 4. Which is the closest to 1\/3? (a) -1 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 z, and 1 n when three letters picked without replacement from {p: 1, z: 4, n: 2, t: 1, f: 5, w: 2}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w - k, -4*w - 4*k + 10 = -2*k. Suppose -10 = -2*c - 5*a, 0 = -5*c - 5*a + 11 - 1. Suppose 2\/7*v**2 - 4\/7*v**w + 2\/7*v**4 + 0 + c*v = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 326 - 307. Suppose 3*y = -4*b + o, 2 = -0*y - 2*y + b. Let w(r) = -22*r**3 + r. Calculate w(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Suppose 0 = -m - p*m. Suppose 5*c - 2 - 3 = m. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.47 to zero dps.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 - 13 = -14*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 q, and 1 n when four letters picked without replacement from {n: 6, q: 2, g: 3, j: 1, k: 1}?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31)\/(-3) - (2 - (-91)\/(-42)). Which is smaller: 10 or g?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-6) + 2\/3. Suppose 14 = o*r - 4. Suppose r = -5*m - 4. Sort m, 4\/9, 0.1 in decreasing order.\nAnswer: 4\/9, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*m - 390, 3*m + 4*i - 663 = -2*m. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11456*f**3 + 512*f**2. Let o(c) be the first derivative of -67*c**4\/4 - c**3 + 6883. Determine 3*n(q) + 512*o(q).\nAnswer: 64*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8 - 17 + 4*w - 15. Let s be q(8). What is the highest common divisor of 20 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1781, 1783, 1787, 1793, 1801?\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 + 124*p**2 - 376*p - 173. Calculate r(38).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 21 = 3*b - 25, -b + 12 = 3*u. Let r be 43\/(-3) - (-6)\/b. Is 6\/r + (-2424)\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbgb. Give prob of picking 1 b and 1 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, -108, 5, -468, 3, 2\/3, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0 + 1\/70*t**7 + 1\/6*t**3 + 0*t + 0*t**6 + 0*t**4 + 7*t**2 + 0*t**5. Find the first derivative of f(r) wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-56) - (-8)\/(-14). Let x be (345\/(-20))\/((l\/12)\/1). What is the highest common factor of 46 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 766.51567 to 0 decimal places.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9*-1719\nAnswer: 15471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8176 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k - 81 = 52*k + s, s = -3*k + 23 - 84 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/225 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 + 8)*(-3*d - 2*d**2 + 3*d) to the form t*d**2 + u*d + g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-510)\/40)*1\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 0 + 7)*(-4 - 1 + 3) - 1 - 7 + 0)*(y + 6*y - 4*y) as s*y + z and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -4.28 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 24 = -16. Suppose 5*x - 10 = u. Let q(z) = z - 8. Let h be q(8). Sort h, 7, x.\nAnswer: h, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2199 by -1.\nAnswer: 2199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -59. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2)*-4 - (-5*sqrt(11) + 4))**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 6, 0.2, -4, 18, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-40)\/99) - 72\/(-216)*3\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-4\/3)*t)**38)**(-4\/35) assuming t is positive.\nAnswer: t**(-1976\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 530*n - 27. Let r(w) = 1. Let x(h) = q(h) + 4*r(h). Let t be x(-8). Let a = -2416 - t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 24 = -4*m, 3*h - m - 20 + 11 = 0. Solve h*x = 4*b + 16, -3*b = x + 2 + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6146 + -6146.4. Put 3\/7, 49, i, -4 in increasing order.\nAnswer: -4, i, 3\/7, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181903411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -290*p - 899. What is n(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6117956337 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -20, -6 in increasing order.\nAnswer: -20, -6, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -n - 2 - 2, r - 4 = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26679 - 14416. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 43 = 15*l. Suppose 40 = -5*m + 5*h, -l*m - 4*h + 2*h = 68. Is -37\/3 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1003 - -4402400?\nAnswer: 4403403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.37\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -163, -175, -203, -253, -331, -443?\n\"Answer: -t**3 - 2*t**2 + t - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*a = -142*a - 4600000. What is a rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 16814 = c + 16835, 9 = -9*x for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/3)\/(27\/81) - -4. Suppose -z = -0*z - 4. Suppose -b = -1 - z, -5*q - 3*b - 10 = 0. Sort q, i, 9 in increasing order.\nAnswer: q, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3963 - 3959. Let s(z) = -3*z + 2. Calculate s(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l - 28. Let z be n(-7). Let b(u) = -z*u - 2*u + 10*u. Let c(v) = 2*v**2. Calculate c(b(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 1 - 1 - 3*f + f - 9 + 10 + (3 - 3 - 2*f)*(-3 + 2 - 1) + 0 + 0 + f - f - f + 0*f - 5 + 5 + 10*f in the form b*f + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 265100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.06 - 0.06. Let y = w - 5. Let v be 10\/(-24) - (-2)\/8. Sort v, y, -2\/11 in decreasing order.\nAnswer: v, -2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -12 - 11 - (2 + -5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/((sqrt(96)\/sqrt(3))\/sqrt(8)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -1 + 0 + sqrt(1539) + -3)**2 + 5 - (2*(0 + sqrt(1539)) - sqrt(1539)*-1*2)**2) + 3.\nAnswer: -18444 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 177, 168, 155, 138, 117?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1514\/3 - -504. Is l >= 144\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 75*u. Let n(g) = 122 + 14*g - g + 7*g - 6*g - 124. Calculate r(n(x)).\nAnswer: 1050*x - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/9)\/(-5) - 3\/9. Let n(y) be the first derivative of 1\/14*y**4 + 0*y**2 + 2 + 2\/21*y**3 + m*y. What is f in n(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 68133, 272573, 613313, 1090353, 1703693, 2453333, 3339273?\n\"Answer: 68150*j**2 - 10*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-175))\/((-18)\/14) - (-4)\/10.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-48) - (-2)\/(-3). Let p(f) be the second derivative of 0*f**2 - 2*f + 1\/12*f**4 + v*f**3 + 0. Let y(b) = -b**2. What is p(y(n))?\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5958*y**2 + 1623*y**2 - 14846*y**2 - 1812*y**2.\nAnswer: -20993*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/375263 and 46\/343?\nAnswer: 18387887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9378745 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3 and -51\/38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4814005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-3 - 19 - -5)*(5 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84313 - -23313. Round n to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1111 and -5\/606.\nAnswer: 6666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16499637?\nAnswer: 3, 7, 11, 29, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2478 and 137\/4130.\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, u: 2, s: 3}. Give prob of picking 4 o.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10320, 42424, 97992, 178710, 286264, 422340?\n\"Answer: 281*b**3 + 10046*b**2 - b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -148 times -17\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -10*w - 138. Let m be i(-14). Let y(a) be the third derivative of -7\/24*a**4 - 9*a**m + 0*a**3 + 0 + 0*a. Let q(o) = -o. Determine q(y(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 10816 = -576. Is 9 a factor of (-8)\/(-36) - h\/72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 - 519 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -9 (c) -6 (d) 1\/7 (e) 2 (f) -0.04054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 1.823132?\nAnswer: -3.176868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30*244\/10065)\/((-2)\/44)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1465526, -1465525, -1465524, -1465523?\n\"Answer: k - 1465527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481802518?\nAnswer: 2, 240901259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 998 - -251. What are the prime factors of m?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/(-9)*(-6)\/24*18\/(-810)*18?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5\/5 - 2*u**4 + 137*u**3\/5 - 126*u**2\/5 = 0.\nAnswer: -18, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + n**2 - n + 0*n + 3. Let a = -136 + 144. Suppose 18 = 14*d - a*d. Determine t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8770 (base 9) to base 4\nAnswer: -1210332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 2*z**4 - 4*z + 5*z - 3*z to the form a*z**2 + j*z + b + g*z**3 + s*z**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 11 - 22 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 941 - 715. What is the lowest common multiple of 88 and g?\nAnswer: 9944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-600)\/(-275) - (-2)\/(-11). Suppose 4*s = -2*j + 46, -s = -2*s - w*j + 19. Calculate the remainder when 30 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -150*v + 1359. What is q(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4553700 divided by 5295.\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 4*v. Let j be w(3). Let g(r) = 80*r + 320. Let p be g(-4). Let u be 3\/(-4 - -1) + (5 - 3). Put u, p, j, 5 in decreasing order.\nAnswer: 5, u, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8435 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, -1, -7, -2.\nAnswer: -7, -3, -2, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7510 + 7510 - s - 17999*s**2 - s**3 + s as b*s + m*s**3 + q + i*s**2 and give i.\nAnswer: -17999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y**3 + 2*y)*(-3*y**2 + 0*y**2 + 5*y**2) + (0*y - 3*y + 4*y)*(-y**4 + 0*y**2 + 0*y**2) + 29*y**4 - 9*y**5 - 29*y**4.\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, and 2 x when four letters picked without replacement from {x: 4, m: 3, v: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3)\/x*x**6)\/(x**0\/((x*x**(1\/2))\/x))*(x**(-1\/2))**(2\/33)\/((x**(2\/3)*x*x)\/x)**(-48) assuming x is positive.\nAnswer: x**(1851\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 6*m**2 + 2 + 9*m**3 - 20*m**3 + 4*m**3 + 8*m**3 to the form q*m + t*m**2 + x*m**3 + w and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 523 + -218. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 96*q - 3. Is s(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 12*g**2 - 38*g - 10. Let s be i(-6). Let t(h) be the first derivative of -h**2 + s*h - 5 - 1\/3*h**3. What is t(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = 22*o - 190 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/421 and ((-365)\/(-150))\/((-245)\/21 - -12).\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179759*z**6 + 2*z**2 - 16*z + 34.\nAnswer: 21571080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 - 5*n**3 - 287.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13760.6553 milliseconds to weeks.\nAnswer: 0.00002275240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 16*v - 10. Give u(9).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 16*s + 19. Let u(t) = -9*t**2 + 47*t - 59. Let x(z) = -7*i(z) - 2*u(z). Factor x(o).\nAnswer: -3*(o - 5)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 16711?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 10 - 3*s - 3. Suppose 0 = 16*f + 79*f + 448 - 1398. Calculate b(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -356*w - 36. Does 64 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Suppose -l*r = -0*r - 4. Let q = 220 - 218. Solve 0*i - 2*i + 4*y = 10, -r*y + q = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261484 divided by 7?\nAnswer: 180212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/(-15))\/(4\/20). Suppose -p*d = -16*d - 5*r + 125, -10 = 2*r. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -11*i**3 - 3*i**2 - i. Let b be j(-1). Suppose b*g + 27 = 900. What is the remainder when g is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2329 + 2812 = 0. Solve 12*m + w = -11*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) + -1 - 7\/3. What are the prime factors of -6 + 10 - 37*c?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, b: 6}. What is prob of sequence ppp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 641\/10 - 64. Which is the nearest to 0? (a) v (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 1, -4, -2\/25, -1\/2, -8497, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-2 - 3\/(-2)). Suppose 0*r - 2*r - 4 = 0, 5*r = -u*x + 23. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -56, -197, -466, -905, -1556, -2461?\n\"Answer: -7*l**3 - l**2 - 3*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + 1ed?\nAnswer: 1ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8947 + -8946. Is -1292 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 537 + -4 - 0\/8. What is the highest common factor of n and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 18*z - 1. Let d(n) = -278*n - 1. What is d(a(f))?\nAnswer: -5004*f + 277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - t**2 - 1. Let x be ((-8)\/(-6))\/(6\/9). Let m(l) = -5*l**2 + 2*l**3 + l**2 - 2 - l - l**3. Let b(c) = x*m(c) - 4*o(c). Factor b(n).\nAnswer: -2*n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6103 + 6103. Let a(v) be the first derivative of 1\/10*v**5 + 0*v**4 + o*v - 19 + 0*v**3 + 0*v**2 + 1\/12*v**6. Suppose a(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1587749101091 from -267.\nAnswer: -1587749101358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 40562 (b) -5 (c) 3\/5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-17)\/(-3))\/(1365\/171 + -8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1198 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - 3 - ((14 + -14 - 1) + 20).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.8 + 11.9. Let r be 3\/(((-12)\/(-7))\/(68\/238)). Which is the third smallest value? (a) o (b) r (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53872?\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1462256, -1462279, -1462318, -1462373?\nAnswer: -1462444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -74\/9 and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -161 divided by -17\nAnswer: 161\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1029950*q**4 - 5736759?\nAnswer: -4119800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/(340\/200)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18852 - 18857.1. What is the closest to l in 22\/7, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - u - 5*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 220835235 a multiple of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000091169 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 0.66. Let w = -5.97 - -6. Let l = 2.97 + w. Which is the nearest to 0.1? (a) l (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, -4, 27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03048 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107570 - -470?\nAnswer: 110260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.49433 decades in centuries?\nAnswer: 6.949433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 194028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -75, -113?\n\"Answer: -38*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 3 + (-4092 + -3)\/(-9)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20478 - 10983. Does 45 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.79 + -35. Let z = s + 0.11. Let d = -47 + 52. Put 0.12, d, z in ascending order.\nAnswer: z, 0.12, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 1315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-3 - 3)) + (-32 - -24)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 times -11.953?\nAnswer: -2.98825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 43 - 40 = 0. What is the biggest value in 0.05, l, 3\/2, 1\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 + -121 + 107?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/15 - 166\/(-10). Suppose -2*b - y = -21. Solve r + 5 = 0, b*u - 4*r - 12 = 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21 + -19)*10\/4. Suppose k = 5*s - 10*s, -2*s - 22 = -u. Suppose y + 2 - 7 = 0, -2*l = 5*y - 39. Calculate the remainder when u is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*q + 89*q = 496 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = o + 5*j - 31, -o - j + 7 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41966 + -0.31.\nAnswer: 41965.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = 0, -t = 12*n - 15*n + 12. Suppose 5*m = -2*o + 1351, -t*m + 2684 = 4*o + m. List the prime factors of o.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from kjjjeiveetttejj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 69*j - 1. Suppose 5*p = -2*m + 125, -4*p + 0*p = 5*m - 117. What is the remainder when a(1) is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 250647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 5, l: 5, r: 6}. Give prob of picking 3 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x + 156. What is the remainder when v(-14) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 320 + 465. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 19*q - 5070 = -24*q, q = -2*u + 2024. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*x - 4 = 0. Let c be x\/(-5) - 601\/(-5). Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/26)\/(-7))\/(4\/16)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 56 + -28 + 12 + -50?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/55 - -39\/440. Let p be 114\/30*15\/12 - 4. What is the nearest to 1 in m, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-1050)\/(-70)*(14\/2)\/70)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Let s(h) be the third derivative of -385*h**4\/24 + 49*h**3\/6 + 15*h**2. Let l(n) = -24*n + 3. Let b(a) = -98*l(a) + 6*s(a). Calculate r(b(w)).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144729341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-8)\/(u**(1\/9)*u))**(17\/4))**(-33))**40 assuming u is positive.\nAnswer: u**(153340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420435 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -487004 + 137741. Let o = -493901 + 1133164. Let d = f + o. What is d rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10076449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*m = 3, 4*m + 6 = 3*h - 21. Let i be (-2)\/(((-20)\/8)\/h). Which is the third smallest value? (a) 0.4 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = -3*i. Let b be (-2)\/(1\/(-2)*i). Let y be ((-3)\/6)\/(1\/3). Do y and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22209568.\nAnswer: 2, 47, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100.0265 + 100. Round c to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -34. Let f = -167\/280 + 4\/7. Sort -2\/3, f, m.\nAnswer: -2\/3, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 2. Suppose -7 + 25 = -3*b. Let c be q(b). What is the tens digit of 129\/12 - (-1)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:31 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 + ((-10)\/(-15) - 0). Suppose y = 7*i - 15 - 6. Suppose -2*x + 70 = -x + k, -3*x = -i*k - 240. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -28*4\/(-20) + 2\/5. What is the nearest to -7 in w, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2275 (base 8) to base 11.\nAnswer: a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -39. Let t = -0.05020046 - 41.95032754. Let v = c - t. What is v rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bneennbbbne. What is prob of picking 2 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 8*n**2 + 2*n + 6. Let z be f(-8). Let o be (z\/(-4))\/(3\/12). What is the units digit of (4\/5)\/(2\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**4\/4 + 16*o**3\/3 + 3350*o**2. Let x(a) = -9*a. Calculate f(x(p)).\nAnswer: -54*p + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*f - c, -3*f - 4*c = -6 - 7. Let t = 15 - 8. Suppose -n + 14 = -6. Solve t*x - n = f*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77190 by -2.\nAnswer: 38595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 4d?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 33*f**2 - 4785*f - 48. Give d(145).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 241, 479, 715, 949?\n\"Answer: -f**2 + 241*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n\/n**(-30\/11))\/n*n*n)\/n))\/n**(-5\/7))\/(n\/(n**(2\/13)*n*n))**(-11) assuming n is positive.\nAnswer: n**(-14720\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15312611 by 1361.\nAnswer: 11251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 100 = 2*x, -x = 2*k + 3*k - 119. Let q be k\/7 + (-10)\/35. Suppose -5 = q*i - 35. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, 4\/23, -5, 66, -3?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - (11 + -27 + 9 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2))**(7\/5)\/((r**(2\/3)\/r)\/r*((r*(r*r**(-6)*r)\/r*r*r)\/r*r*r)\/r*r) assuming r is positive.\nAnswer: r**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 41 = 5*s - s, -o = -3*s - 30. Let w = -21 - s. Let y be ((-36)\/w)\/3 - 1. Is 0.2 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2 + 5*z**2 - 9*z**2 - 2*z**3 + 8 + 7*z + z. Let b be 2 - -6*(-1 - 0). Is r(b) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/21 - 8\/(-3). Suppose 6*y = s*y + l + 435, -y + l + 143 = 0. What is the remainder when y is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 45, 65, 101, 159, 245, 365, 525?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -238 + 34. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55475 divided by -11095.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 6*q - 6. Let d be y(-4). Solve -k - 6 = -d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 4. Let q be f(0). Suppose q*o + 2*k = 0, 3*k = 2*o + 8*k - 8. Suppose 0 = -4*x - 6 - 2. What is the closest to 1 in o, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 11:50 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 13. What is z(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 5. Let y(a) = -5*a - 5. Is y(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by -58\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 i, and 1 x when three letters picked without replacement from xfkiiiiagafagag.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1261902068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 11*f**4\/12 - f - 31. Let j(m) = -m**2 - 2. Let d(p) = 1. Let a = 5 + -9. Let n(i) = a*d(i) - 2*j(i). What is u(n(g))?\nAnswer: 44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402204031 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 4*h. Suppose -3*p = 4*r - 44, -h*r + 0*r + p + 46 = 0. Let d = -8 + r. Solve -a - a = -d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + -1*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191305 - 59217 = -6004*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-44))**42\/(k**(-7)\/(k**(-7)\/k)) assuming k is positive.\nAnswer: k**(-1849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 8. Let n be s(-3). Solve -3*r + n = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p + 51. Solve -j + 5*w = 4*w - 6, -p = 4*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136*-5\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 17798 = 16*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.996 - -0.004. Let f(d) = d**3 + 5*d**2 + 4*d + 5. Let w be f(-4). Which is the nearest to k? (a) w (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/((sqrt(9)*-2)\/sqrt(3)))**2*5.\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 68455530 divided by -207441\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 2*z + 14. Determine n(18).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 + l + 684. Let p be g(0). Suppose -10*w = 114 - p. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 4. Give i(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + -11 + 11 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 3, 1\/102, -5 in descending order.\nAnswer: 3, 1\/102, -1.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of -6 - ((-3 - -8) + -403)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 4\/9*k**3 + 1\/60*k**5 - 18*k + 0 + 1\/4*k**4 + 0*k**2. Determine x so that c(x) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 289*i**2 - 945*i**3 + 317*i**2 - 397*i**3 + 144*i**2 wrt i?\nAnswer: -8052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*(-14)\/(-21) - -8. Solve b + 4 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919 = -14*a - 667 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 12 = -10*p. Let f(z) = z**3 + 6*z**2 + 3*z - 4. What is the tens digit of f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -345 - -571. List the prime factors of i.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.026 - -30.026. Let d = -30.00000231 + l. What is d rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021679 to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1139255986 and 1139255986 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*k + 190 = 18, -4*k = -4*p + 224. Calculate the remainder when p is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5240, -10133, -15022, -19907?\n\"Answer: 2*p**2 - 4899*p - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.0612459?\nAnswer: -0.3062295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*12\/(-30)*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 8. Let s be (0\/(-2) - 0)\/1. Let i be -3 + 3\/(-6)*-6. Suppose i = 4*v - 0*m - m, -3*v - 2*m = s. Calculate p(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 2*n + 1. Let l be t(1). Let y be (-1 + 3)*2\/l. Let r = y - 2. Solve 2*o = -2, r*b - 4*o = -2*b + 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-39)\/((-65)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9949107, 19898216, 29847325, 39796434?\n\"Answer: 9949109*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnzznxzzxzz. What is prob of picking 1 z and 1 n?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051134 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1245241\/7 or 177893?\nAnswer: 1245241\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p = 7*p + 81. What is the closest to 4 in -0.1, 3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (31 + -33)\/(6\/(-516)) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - -1.9. Let t = 3998550 - 3998552.9999928. Let g = i + t. What is g rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 33448 = -8*q, q - 126061 - 41491 = 5*l. Is l less than or equal to -33513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3821*z - 42 = 3807*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3340 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -3, -0.1, -22227, 5, -1\/5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p - 3*b + 213, 0 = -2*p - b - 94. Let i = -23 - p. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 30. Let j be 3\/c + (-579)\/(-6). Suppose 35 + j = 4*h. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -65*x - 1. Let z be j(-1). Let c(n) = -n**2 + 2*n + 32. Let t be c(6). What is the highest common factor of t and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -16. Suppose 2*v - 4*z - 30 = -i*z, -4*z = -v - 5. Solve -1 = -2*h - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 8 = -m - 2*t, 5*m - 4*t - 22 = 0. Which is the closest to 0? (a) 1\/18 (b) m (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217857.\nAnswer: 3, 101, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -3534.1232\nAnswer: 21204.7392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-2*3 + -3). Suppose -q - 14 = -5*y, x*q + 1 = 2*q + 2*y. Is 3\/11 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*o = 30, -5*s - o + 34 - 14 = 0. Solve -4*l**5 + 9*l**s + 17*l**2 + 99*l + l**5 + 110*l - 215*l - 17*l**4 = 0 for l.\nAnswer: -6, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 9*g**2 - 7*g - 4. Let x be y(8). Suppose x = 3*j - 2. Suppose -12 = -j*m - m. Calculate the remainder when 13 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 62. Suppose j = 4*s + 11. What is the least common multiple of 1 and ((-1)\/2)\/(s\/(-176))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 27. Let j(l) = -l**2 - 4*l + 4. What is j(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2438 * 0.2856\nAnswer: 0.06962928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 12*b - 8. Let d = 21 + -24. Let r(j) = -j**2 + 12*j - 8. Let x(q) = d*v(q) + 2*r(q). Factor x(a).\nAnswer: 4*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 28 = 6*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5200.\nAnswer: -5205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91172194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.8 * 19.\nAnswer: -167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, -3.5, -2\/2103 in descending order.\nAnswer: 9, -2\/2103, -3.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -11*w. Let a(p) be the first derivative of -5*p**3 + 260. Determine a(h(v)).\nAnswer: -1815*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -7) + (10 - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -n - 3*j, -3*j = -3*n + 5*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -10, -3\/2, -15 in decreasing order.\nAnswer: 0.4, -3\/2, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 j when four letters picked without replacement from gdjgjdjdddjd?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1206, -2406, -3606, -4806, -6006, -7206?\nAnswer: -8406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-26))\/(l**(-19)\/l))\/(l\/(l\/(l**23\/l*l))*l**(-7)) assuming l is positive.\nAnswer: l**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.006, 0, 2\/17, -2362, -5?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.044789 + -42.881211. Let m = g - -43. What is m rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2666016*h**3 + h - 7*h**4 + 2666018*h**3 - 4*h + 17 - 2*h**2 in the form f*h**2 + z*h + v + d*h**3 + k*h**4 and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 973*z**2 - 262*z**2.\nAnswer: -1230*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9024187 or 9024182?\nAnswer: 9024187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -17, -44, -73, -104, -137, -172?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*-2088243.1.\nAnswer: 856179.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4779696 and -0.65976.\nAnswer: 4779695.34024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 144?\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 6.1, -0.4, -0.2 in descending order.\nAnswer: 84, 6.1, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8868 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + (7 + -4 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2399, -3, -1 in ascending order.\nAnswer: -2399, -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -70872 divided by -1?\nAnswer: 70872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -42397.738 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 - 5. Let i = -32.91 - 0.09. Let z = 17 + i. Sort -3\/2, z, q in decreasing order.\nAnswer: q, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40676.\nAnswer: 2, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 1\/9*q**3 + 1\/36*q**4 - 3*q - 1\/45*q**5 + 0 + 1\/2*q**2. Let a(h) be the first derivative of b(h). Factor a(f).\nAnswer: -2*(f - 1)*(2*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from aaraaraaaarraa?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z. Let u(d) = 5*d**2 + 629*d + 3. Determine u(q(r)).\nAnswer: 1125*r**2 - 9435*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 16. Give y(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26526 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2626 - 91916\/35. Let o = -16\/35 - f. Which is the closest to o? (a) -4 (b) 19 (c) -3\/8 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2237997)\/(-6) - (-2)\/4. What is v rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 765330\/5717 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3363?\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-60)*1*4\/80*4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 136*f**2 - 10*f - 9. Let i(y) = -134*y**2 + 12*y + 10. Let n(l) = -4*h(l) - 3*i(l). Let x be n(-1). Which is greater: x or -141?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5814 and 216.\nAnswer: 69768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173 + -92. Suppose 0 = z + 5, -z - s = -4*c - 4*z. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 35*r - 235. Let a be y(23). Let q = a - -319. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4136.0002698 - -4136. What is c rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-171)\/15 - (-20 + 9). Suppose -j = -2*j. What is the closest to j in u, 10, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -90*d - 4. Let c be w(-2). What is the highest common divisor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 11:59 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 22*z + 784 - 784.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111.7 + -111.699998231. Round v to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v - 192. Does 9 divide 3\/(4*(-4)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56140 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((((s*s**(2\/5)*s)\/s)\/s)\/s)*s*s**8*s\/(s\/(s*s**(-6)*s*s*s))*s\/s**3 assuming s is positive.\nAnswer: s**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-215)\/(-54) + -4)*-4. Let c be (-1144)\/(-1836) + 4\/(-6). Let r = c - x. Put r, 5, 0.1 in ascending order.\nAnswer: r, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 214 - 221. Let b = -2\/65 - -203\/260. What is the third biggest value in w, b, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -675, -645, -613, -585, -567, -565, -585, -633?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302 (base 7) to base 14.\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4696, -9334, -13972, -18610, -23248, -27886?\nAnswer: -32524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 13*b + 80 = v - 23*b, 64*b = -5*v + 568 for v.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232905 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 1848*w - 22292. Calculate c(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 15*n - 42. Let l be g(4). Solve 6*m - l*m - 2*c - 26 = 0, -4*m + 6 = 2*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*s - 2*v - 219, 3*s = -4*v - 214. Let o = 80 + s. Solve 7*g - o*g = -x - 20, 3*x = g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3\/30 - i**2\/5 - 6*i\/5 + 83. Determine f so that y(f) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2155 = -u + 2345. Calculate the remainder when u is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(1 - -5)*-6. What is the second derivative of 3*l**3 + 0*l**b - l**3 + 2*l - l wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/(-27) + (-4)\/(-18). What is the units digit of ((-34)\/4)\/(i\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143 and 65?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/55*(-157080)\/3808.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 334\/3 - 110. Let g = -0.47 - -0.86. Let x = 0.01 + g. Which is the third biggest value? (a) t (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/20 + 7*b**4\/24 - 3*b**3\/2 - 44*b**2. Let w be i(2). Solve 3*y = 2*d - 3*d + 9, 2*y - w = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -1\/6*i**3 + 0*i**2 + 0 + 21*i. Let d(b) = -4*b. Give d(o(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-8 + (-9 - -10)) - (-12 + -8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 7*d + 3. Let k be b(-7). What is the derivative of k - 1 - 11 - 3 - 43*s wrt s?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120012 + -1220022112?\nAnswer: -1220212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132296200 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*x = 491, 11*x + 484 = n + 6*x. What are the prime factors of n?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - w - 52 = 0, 2*c = -2*c - w - 106. What is c rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/11 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -14.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -5, -20\/151, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103631 times -452?\nAnswer: 46841212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1264 = -13*t - 6*o - 272, 0*o - 306 = -4*t - 2*o for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-75)\/27*3 - -8. Which is the closest to 0.02? (a) -0.2 (b) 3\/7 (c) r (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4691429 divided by 4691429.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - b + 2. Let u be l(1). Calculate the highest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5331 and -406561.\nAnswer: -411892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-25)*(75\/60)\/(2\/86).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {t: 1, n: 1, f: 1, u: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-117) + 0 + 200\/1300.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 60*k**2 + k. Let o(q) be the third derivative of q**4\/24 + 154*q**2 + 6*q. Give o(l(a)).\nAnswer: 60*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/3)\/(-8)*30\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((-564)\/1269*6\/14).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -541, -1090, -1639, -2188, -2737?\n\"Answer: -549*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, o: 13}. What is prob of picking 1 o and 1 b?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 420\/8 + (-6)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1577a16 + 19?\nAnswer: 1577a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/4)*f)**42)**35\/(f*(f*(f**5*f)\/f)\/f*f*f*f**(-2\/17)*f*(f*f**(1\/8))\/f*f\/f**(2\/15)) assuming f is positive.\nAnswer: f**(5227757\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -1\/30*t**5 + 0 - 2\/3*t**4 - 16\/3*t**3 + 107*t**2 + 0*t. Let x(u) = 0. What is u?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/153 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91*2\/(-420)*(-24)\/(-78)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-520 - -550) + (-2 - 41)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -87. Let d be (7 + -92 + g)*6\/(-4). Let x be 1\/(-2*(-6)\/d). Calculate the greatest common divisor of 165 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 30 = 2*o + o, -x = 3. What is the greatest common factor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8168234?\nAnswer: 2, 2003, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1811826444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 1 - 28\/15*l**6 + 0*l**2 - 3\/2*l**3 + 16*l - 1\/4*l**4 + 0*l**5. Find the third derivative of b(y) wrt y.\nAnswer: -1344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/30 + h**5\/60 + 11*h**4\/24 + h**3 - 9*h**2 + h. Factor a(y).\nAnswer: -(y - 2)*(y + 1)*(4*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13c2 - -31?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500151250.\nAnswer: 2, 5, 19, 21059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200122 is divided by 5394.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*l + 657 + 2351 = 392 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*t + 16 + 9, -3*t = -15. Let o(a) = u*a - 1 - 8*a + 10*a. What is o(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21222 divided by -3\nAnswer: 7074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(147))**2 + sqrt(147) + -4 - sqrt(147)*-2*-3 - sqrt(147)*2*-2*2).\nAnswer: 42*sqrt(3) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 79*i**4\/12 - i**2\/2 + 59*i. Suppose 3*t - 4*t = -1. Is g(t) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31089 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -7. Let s = 146.4285 + 0.0715. Let w = -146 + s. What is the biggest value in 0.06, w, 0, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -58. Let t = 6 - -3. Sort t, b, 3 in decreasing order.\nAnswer: t, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w - 1. Let o(r) = -r**3 + 5*r**2 - 4*r + 6. Let k(t) = 2*f(t) + o(t). What is the units digit of k(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11*a**2 + 40*a + 1. What is the least common multiple of 20 and u(3)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -38*b + 39. Calculate the remainder when 21 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**4 - 11*q**3 + 32*q**2 - 20*q + 8. Let t(n) = n**4 - 11*n**3 + 33*n**2 - 19*n + 8. Let r(p) = -6*j(p) + 5*t(p). Factor r(x).\nAnswer: -(x - 8)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 1270\nAnswer: -1270.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 274\/1233*(-12)\/2*(-1)\/8\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmb when three letters picked without replacement from {m: 4, b: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5*m*m**(2\/11)*m*m assuming m is positive.\nAnswer: m**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 111. Calculate the remainder when 2\/4 - (1 - 163\/2) is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36a (base 12) to base 15.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 72*a**2 + 23*a + 51. Let w(k) = 33*k**2 + 11*k + 25. Let i(l) = 6*c(l) - 13*w(l). What is i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**30)*g)\/g)\/(g**(-2\/31)*g))\/(g**(-18))**(-2\/3) assuming g is positive.\nAnswer: g**(-1331\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*u - 116 - 30, 5*u + 5 = 0. Let i = 44 + f. Is 8 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14421 and 2090171.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - -3.4. Let a(i) = 2*i + 18. Let m be a(-8). Sort 1\/3, m, u in decreasing order.\nAnswer: u, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24079001 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2368*o**3 + 1152*o**3 + 1173*o**3)*(7*o + 2*o - 4*o).\nAnswer: -215*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 4. Let h(l) = -2*l + 7. Let w(k) = 3*h(k) - 5*p(k). Suppose -4 = -2*s + 6. Let j be w(s). What is the closest to -1 in 1, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14383\/3028)\/(4199\/(-136))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 144. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (36 - -2) + (0 - -1) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868240 divided by 59755?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 124110 rounded to the nearest one thousand?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 41 - 14 + 2*q - 9 + 2*q. Let m be v(-4). Find the second derivative of -342 + 342 + 2*o - 13*o**m wrt o.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1159020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 283 - 443 + 287 - 4*k. Let t be i(32). Let x(u) be the second derivative of -3*u**5\/20 + u**2\/2 - u. Give x(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*d + 39*d - 1628 - 589 = -41 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -221320?\nAnswer: -221233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.31 + -5.31. Let i be (2 + 0)\/(4 - -1). Which is the nearest to -1\/3? (a) j (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-2 - 2) + (-664)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1671 divided by 4530\nAnswer: 557\/1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/2 - 11275*s\/2 - 78435.\nAnswer: -5*(s + 14)*(s + 2241)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-192)\/100)\/(-24) - (-2404)\/(-50)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 56. Which is the third biggest value? (a) -0.1 (b) n (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*h + 60, -6*d - 2*h + 62 = -48. Solve 32*u = d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1414140\/319680 - (-1)\/48. Factor -2\/9*h**3 + 26\/3*h - j - 4*h**2.\nAnswer: -2*(h - 1)**2*(h + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 330a - 2ef?\nAnswer: 301b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.776 and 0.14?\nAnswer: 0.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n**(2\/13)*n)**(5\/17) assuming n is positive.\nAnswer: n**(-55\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -22.5. Let h = 1 - n. What is the nearest to 2 in -1, h, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - -3) + 1 + -17 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382723 - -0.0591.\nAnswer: -382722.9409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2298748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222202102 + -102222?\nAnswer: -2000012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486 (base 11) to base 10.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1065)\/(-4260))\/(1\/(-228))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685 - 1145 = -92*g. Which is the nearest to 4? (a) g (b) 0.8 (c) -0.7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 50. Let c = 111 - r. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183 + -100. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4408060569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -11*b**5\/10 - b**4\/4 + b**3\/6 + 3*b**2\/2 + b + 7. Let q be j(-1). Solve -3*n - 3*z - q = 0, 5*z = -4*n - 35 + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (2 + -1 + -48).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 315970 (base 16) to base 15\nAnswer: 43d40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42019 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3250340731 - 3250340979.00000234. Let r = s - -248. What is r rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5250 and 1890?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10893977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/14 - (-24)\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = -7, 4*g = 4*v + 276. Let b = g - 111. Round b to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 71, 32, -53, -178?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 9. Let l be f(-7). Solve i = l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2. Let y(v) be the third derivative of 0*v**3 - 1\/24*v**4 + 0 + 0*v - 19*v**2. What is y(s(o))?\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 16 = 5*d + 2*p, -18 = -3*d - 3*p. Suppose w = -4*w + 2*g + 23, -5*g = -3*w + 10. Suppose -s + 9 = -d*t - 13, -w*t = 20. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -541067 divided by 1063\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + -3 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - ((-12)\/27 - ((-49)\/1)\/(-2 + 11)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-52 - 1448)*(-50)\/90.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12344 = -624*b + 5752 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2. Let m(c) = -76040*c**2 - 3. Calculate m(g(n)).\nAnswer: -684360*n**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 77349\/3505?\nAnswer: 77349\/3505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3161 = 9*f + 3071 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/45)\/((-5)\/(26 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*f + 4, 4*c - 20 = -2*f + c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyyyayyqyyycycccy. What is prob of sequence aca?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -30.6 greater than or equal to -187919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-20) - (-24)\/(-15). Let s = 10 + h. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 4*x**2 - 3*x - 7. Let z be t(-4). Factor -2832*n**3 + z - 374*n + 192*n**4 + 37 - 133*n + 2052*n**2.\nAnswer: 3*(n - 14)*(4*n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 153*j + 149*j - 48 = 0, 4*f - 54 = 5*j. Put 2, f, -4, -11, -0.3 in descending order.\nAnswer: f, 2, -0.3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/4 + 3*h**4\/4 - 11*h**3\/4 - 27*h**2\/4 + 5*h\/2 + 6 = 0 for h.\nAnswer: -4, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -32*u + 16*u + 8*u + 11*u + 3*u. Let j(q) = 5*q**2 + q**2 + 3*q**2. Calculate s(j(w)).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -21*u**3 - 3*u**2 + 6*u + 17. Let h(f) = -108*f**3 - 16*f**2 + 30*f + 85. Let s(y) = 11*b(y) - 2*h(y). Does 11 divide s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/2)*s*s*s**(-6)*s*s)\/(((s*s**(-4\/5))\/s)\/s**(-2\/3)))**(-12) assuming s is positive.\nAnswer: s**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*x - 4*x. Suppose f - o - x = 3*o, 5*f + 5*o - 5 = 0. Suppose -f*h = -106 - 2. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65627, -65629, -65631, -65633, -65635, -65637?\n\"Answer: -2*c - 65625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*q - 4. Suppose q*b - z = 2, 2*b + 3*b - 4 = 3*z. Let a = 1.8923 + -1.7923. What is the nearest to a in -4, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7423.99953365 - 7424. Round m to 6 decimal places.\nAnswer: -0.000466","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25207, -25229, -25251, -25273?\nAnswer: -25295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 greater than or equal to 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -82854, -0.4, -0.019?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15321 is divided by 178.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/9 - 16*u**4\/9 + 14*u**3\/3 - 44*u**2\/9 + 16*u\/9 = 0. Calculate u.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-176)*4)\/(350\/(-275)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, k: 2, e: 15}. Give prob of sequence ee.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1866*x**2 + 1850*x**2 - 7408*x**2 + 1853*x**2 + 1849*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231 by 5121.\nAnswer: -77\/1707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + (1 - (0 + 1)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 27*a - 2. Let v be r(-2). Let g be (-1)\/(-3) + v\/(-3). Let l = -11 + g. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 3*a + 24. Find the second derivative of -66*n + 245*n**4 + 0*n**2 + 0*n**a - 300*n**4 wrt n.\nAnswer: -660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Suppose -q*u - 100 = u. Let h = u - -49. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-2) + 0)*-2. Suppose 4*w + w = 0. Solve 0*g = -j*b - g + 7, -b + 4*g + 24 = w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36975025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*z - 16, l = 2*l + 5*z + 14. Let f be 2\/3*l\/(-4) - -2. Is 2 - ((-73)\/f - (-2)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i - 88. Let w be y(18). Suppose -w*b + 870 = -5*b. Calculate the highest common factor of b and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.07 + -0.07. Let n = 2.5 + -2.5. Which is the nearest to n? (a) -0.2 (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4002678 by 118.\nAnswer: 33921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1240628 (base 13) to base 3\nAnswer: -101200210220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/10 + 2 + 1. Let s = 18 + -17.67. Let v = s - 0.03. What is the third smallest value in g, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/165 and -32\/759.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 21?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 5*s - 31 = 0, 0 = -2*o - 12*s + 14*s + 14 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bd3 (base 15) in base 10?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/9 + 1240*y**3\/3 + 40436*y**2\/3 + 1329064*y\/9 + 540386 = 0. What is y?\nAnswer: -1827, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 302*y + 301*y = -42, 5*y - 210 = -93*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6868 + -0.0132. What is the nearest to 2\/7 in -1\/9, 5, y, -1\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i**2 - 19*i**2 - 7304*i + 7160*i to the form a + p*i**2 + g*i and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 861.\nAnswer: -1\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1263 or -839?\nAnswer: -839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((4 - 0) + -4 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.064134*3\nAnswer: -0.192402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v. Let o(d) = 65*d**2 + 18*d. Calculate o(j(s)).\nAnswer: 2340*s**2 - 108*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 2*o**5 - 2*o**5 + ((1 + 2*o**4 - 1)*(-6*o + 2*o - 4*o) - 3*o**5 + o**5 - 2*o**5)*(2 + 0 - 4).\nAnswer: 41*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 15 = -3*a, 5*a - a + 20 = -5*u. Factor 2\/11*h**2 - 8\/11 + u*h.\nAnswer: 2*(h - 2)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68441295 and 780.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 10. Let f be x(-6). Let r = -1 - 0. Let l(p) = -3*p + 1. Let n be l(r). Solve n*w = 3*z - 11, -f*w = 2*z + 3*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -14*a + 135. Determine p(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2\/(-6))*(-6255)\/104667. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -33. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -38. Let y = 2.03 + t. Let m = -0.01 - y. Round m to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/660 - 17*o**4\/88 - 203*o**3\/33 - 2817*o**2. Suppose s(b) = 0. What is b?\nAnswer: -7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-3) - 958\/(-364). Let h = l + -9\/26. What is x in -8\/7*x + 8\/7 + h*x**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) -6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38.2749 from -4995260.\nAnswer: -4995221.7251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 670, 1005, 1340, 1675, 2010?\nAnswer: 2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*f + 2*q, 328*f - 4*q = 333*f - 47 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 107446450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/19))**(1\/35)*q**(-1\/8)\/q**(-6\/7))**42 assuming q is positive.\nAnswer: q**(12117\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*f + 2*f - 18, -4*i - 24 = 3*f. Let m(o) = -7*o - 6. Let s(k) = -k**2 + 7*k + 5. Let y(j) = -3*m(j) - 2*s(j). What is the units digit of y(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5918 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 - (2 + (1 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -1. Suppose n + n = w. Solve n = -4*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102 (base 3) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*o - 29*o - 3*o to v + j*o and give j.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35860126 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*-3 + sqrt(78))*2*-1)\/(3*-3*sqrt(216)).\nAnswer: -sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26660\/20)\/43)\/(2*2\/(-4)*1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + sqrt(1300)*-1 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*s**3 + 28*s**2*u**3 + 466*s*u**3 wrt s?\nAnswer: -156*s + 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:15 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -235641.907318 + 235643. Let f = -1.095 + v. Round f to four dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 4:07 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28\/25 - -34\/75. What is the nearest to 1 in -4, 1, -1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0 + 4. Suppose 0 = -k + 3*m - 12, -4*m = -5*k - 3 - y. Suppose h - 10 = 2*p, -5*p + p - 22 = -k*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.4, -1.6, -411, -1\/4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqbqqubqbqbbb. What is prob of picking 3 b and 1 u?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 423306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*y - 2 = -4*j, -2*j = -5*y - 1. Suppose 5*k - 4 = j*k. Solve d + 8 = k*h, -4*d + 3*d - 4*h + 22 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2768865136 to the power of 1\/3, to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11900)\/1904*(-6)\/10?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 89*b**2 - 534*b + 23510. What is i(-97)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.1 + -8. Let b = -7.3 - -7. What is the smallest value in y, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*k - 49, -4*h + 2*k = -2*h + 26. Sort -3, h, -2 in descending order.\nAnswer: -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19227 + -19228.000064. Let a = -1 - v. Round a to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 91020\/(-150)*-5*3\/6. Suppose 0 = -15*r + 3433 + a. Does 30 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -3, -7, -13, -21, -31?\n\"Answer: -a**2 + a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 4*s - 77 = -4*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31312013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000101217 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325218?\nAnswer: 2, 3, 67, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37170*i + 7*i**2 + 0*i**2 - 35888*i + 73058*i.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let a be (-18)\/6 + (0 - x). Let b be (-12)\/10*a\/(-6). Are b and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 13*j - 9. Let q be 7\/((-140)\/8) - (-160)\/25. Calculate h(q).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147044.5 rounded to the nearest one hundred?\nAnswer: -147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*r**2 + 7 with respect to r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*x + 4*x + 443, 0 = 4*p - 2*x - 354. Let d = p + -37. Suppose -d = -b - b. Calculate the remainder when b is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11355\/22 or 516?\nAnswer: 11355\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 57392 and 57087 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19663 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3374, -3373, -3372, -3371, -3370, -3369?\n\"Answer: m - 3375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 163 = 4*r, 0*r = -5*r - 4*i + 215. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61 - 56) + (-2 - 0) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**8\/168 - 911*q**7\/210 - 11*q**5\/3 - 1474*q**2. What is the third derivative of r(t) wrt t?\nAnswer: 120*t**2 - 21864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 43. Suppose n - 101 = -3*o + 2*k, 2 = 2*k. Does 32 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + -134. Let h = -161 - j. Solve h + 17 = -6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*s, s - 2 = -2*w - 12. Put w, -4, -1 in decreasing order.\nAnswer: -1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3, -0.4, -1\/2, 49301?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.9 - 26. Let h be ((0\/(-5))\/2)\/(-9 + 11). Which is the closest to h? (a) 4 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3947*l - 43*s + 110 = 3949*l, 5*l + 2*s = 64 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-2)\/4*-1. Let o(k) = -8*k**3 - 2*k**2 - k. Suppose -18 = -4*d - 2. Calculate the remainder when o(a) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 2) + (-1)\/1. Let y(k) = k**2 + 5*k - 2. Let a be y(h). Factor -3*z**2 + 3*z**a + z**3 + z - 4*z + 3*z**3 - z**3.\nAnswer: 3*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**3*v - 2*o**3 - 4*o**2*v - 226*o*v - v wrt o?\nAnswer: 30*o*v - 12*o - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*w - 24 = -5*a, 5*a - 5*w = 0. Solve 3*h + a = -2*v - v, 5 = -5*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 64. Suppose -j + 30 = 4*t. Suppose 22 - t = f. Calculate the remainder when f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttbbtbttbttt. Give prob of sequence tbt.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/70 and 11\/80795267.\nAnswer: 807952670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 5:14 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 102, 222, 390, 606, 870?\nAnswer: 1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1112*r + 32180 + 1110*r - 41107)*(r + r - r) to n*r + k + c*r**2 and give n.\nAnswer: -8927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = 6*q - 38. Suppose 0*m + 9 = 3*m, 35 = 5*c + 5*m. Solve 4 = -c*y + q*d - 12, 0 = -5*y - d - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v - 98 = -5*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a - 82 = -184 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 24. Suppose 0*j = a*j - 480. 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: What is the millions digit of 92906055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51483762*v**2 - 74456961 wrt v.\nAnswer: -102967524*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -31*l**2 + 12*l + 8 + 20*l**2 + 14*l**2 + 5*l - 5*l. Calculate u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w. Let g(a) = -a**6 - 4*a**2 + 3*a. Let v(p) = -6*f(p) + 2*g(p). Find the third derivative of v(b) wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + r = 4, -58*c - 5*r = -74*c - 29 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 1, -6, -5 in descending order.\nAnswer: 7, 2, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 900 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let i(r) = r + 61. What is m(i(s))?\nAnswer: 2*s**2 + 244*s + 7442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1463924 and 166355.\nAnswer: 7319620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = -2*o + 91, 0 = -4*v - 4. Calculate the remainder when o is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30229 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25440 divided by 2120?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 299. What is q(55)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7420 + -6979. Calculate the remainder when i is divided by 427.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 755500*u - 50622989.\nAnswer: (u - 67)*(u + 755567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 1.9. Let s = 2 + d. Let f = -0.0004 - s. What is f rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 3 (c) -2\/3 (d) 2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(200\/15)*(-56)\/42?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 - 21*v. Let y be m(-7). Solve y = 13*x - 3 - 23 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3\/5 - 133*z**2\/5 + 1651*z\/5 + 357 = 0?\nAnswer: -1, 15, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -20 + -4 - 8 - -25?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(sqrt(1100) + 0) + (-1 + sqrt(1100))*-5 - ((1 + sqrt(1100))*-5 - (-5 + sqrt(1100)*1)))**2.\nAnswer: -300*sqrt(11) + 9926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 93312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*s - 9, -x + 45 = 4*x - 5*s. Does 13 divide x*14 - (-11)\/(44\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3396452.\nAnswer: 3\/3396452","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 4:39 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131310 = -g + i, -g + 5*g - 3*i = 525242. Let f = 170172 + -88860. Let v = g - f. Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (9 + -22 + -5 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2469, -4705, -6953, -9213, -11485?\n\"Answer: -6*s**2 - 2218*s - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 5156*u - 5155.\nAnswer: -(u + 1)*(u + 5155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 725 - 725.6. Which is the nearest to 1\/4? (a) -2\/7 (b) 2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1467422201 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = -2*o + 50, -4*q - 82 = -2*o. Let p = -31 + o. Suppose -178 = -4*c + p. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -5.6. Let w be ((-7)\/(-4))\/(1\/(-2)) - -2. Which is the third biggest value? (a) -1 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -5*z**6\/12 - 13*z**5\/10 - 9*z**4\/8 + z**3\/6 + z**2\/2 - 154. Factor w(y).\nAnswer: -y*(y + 1)**3*(5*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(11\/3)\/g)\/g)\/g**(-1\/4))\/(g**5\/((g\/(g\/g**(-2\/29)))\/g)) assuming g is positive.\nAnswer: g**(-1445\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 432095420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*d - 3*d. Suppose 3*l - d*q = -3, -3*l + l = 3*q - 8. Sort l, 3, 4.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -377*z - 9. Let t(j) = -191*j - 4. Give -6*q(n) + 13*t(n).\nAnswer: -221*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 68 - (50 + 21) - (0 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c**2 + 5*c. Let f(z) = -z**2 + z. Determine -3*f(n) + o(n).\nAnswer: -5*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*r - 6, -5*r = 2*u + 5 - 1. Let q be 26\/40 + u\/8. Let z be (4 + (-29)\/7)*4. Sort 3, q, z in decreasing order.\nAnswer: 3, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6224545, -6224541, -6224537, -6224533, -6224529, -6224525?\nAnswer: -6224521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.1 * 1.8476.\nAnswer: 35.28916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 4:55 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -999.3296 rounded to the nearest ten?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 17 (c) 3 (d) 9\/5 (e) -167\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9014*x + 9016*x + 2*x**2 + 9*x**3 + 0*x**2)*(-7 + 3*x**2 + 7 + (-x + 0*x + 0*x)*(2*x - 5*x + 2*x)).\nAnswer: 36*x**5 + 8*x**4 + 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 27*o**3 + 7*o**2 + 4*o + 3. Let s(i) = i**2 + i + 1. Let l(h) = 4*s(h) - w(h). Let y be l(-2). Suppose 4*m = 3*p - y, -3*m = 3 - 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-388)\/(-2006) - (-421)\/(-24839).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -60. Let f be (-1096)\/(-72) - 4\/18 - b. Suppose 2 = -p + f. What is the lowest common multiple of p and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - 2*p)*(-3 + 3 + p)*(-3 + 2 + 0).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2487133?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*7.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {i: 2, h: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.064 (b) 15 (c) -2\/3 (d) -3.8 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = -5*x - 16. Let o = x + 78. Suppose -2*z + o = -c + 13, -5*z = -3*c - 57. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 + 4*k**3 + k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012321 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22181318 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.336361 hours to microseconds.\nAnswer: 4810899600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9920978 is divided by 1193?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.727 millennia in decades?\nAnswer: 55072.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 270468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 880490 divided by 6773?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 15*n**2 + 58*n + 30. What is the lowest common multiple of r(6) and 324?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/15)*r\/(r*r*r**(-12))*r**(-5\/6)\/r**(2\/23) assuming r is positive.\nAnswer: r**(2349\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - 12\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -246072*c**2*j**2*r*t**3 - 119*c**2*j*r - 5*c**2*r*t**3 + 3*c*j*t**3 + 28*c*r*t + 3*j**2*t**3 - r*t wrt j.\nAnswer: -492144*c**2*r*t**3 + 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awwz when four letters picked without replacement from {w: 3, z: 3, a: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -343 - -233. Let y = b - -135. Which is smaller: y or 30?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 11. Let j be t(-12). Let i(d) = 2*d**4 - 9*d**3 + 5*d**2 + 4*d - 2. Let k(x) = -x**3 + x**2. Let w(z) = j*i(z) - 5*k(z). Factor w(q).\nAnswer: 2*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1773359?\nAnswer: -1773359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*m**3 - 631*m**3 - 298*m**3 - 54*m**3.\nAnswer: -1411*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 - (-64 + 170 + -79).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -952 - -12364\/13. Let b = 161 - 17. Let t = 142 - b. Is i greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 58*x**2 - 58 + 16 + 42 - 4*x.\nAnswer: -58*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -44. What is the remainder when 27 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 170*w**3 - 992*w**4 - 170*w**3 + 3189*w**4 + (-w**3 - w**2 + w**2)*(-2*w + 1 - 1) - 4*w**4 + 5*w**4 + w**4 + (3 + w - 3)*(-w**3 + 3*w**3 - 4*w**3).\nAnswer: 2199*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -497 + 184. Let r = -256 - y. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -509 divided by -4?\nAnswer: 509\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18 - (2 + -1) - 1. Suppose i = 3*i - a. Calculate the lowest common multiple of 14 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 0)*(-57 - 58 + 33)*(r**3 + 1 - 1) as n*r**2 + i + c*r**3 + x*r and give c.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 12\/5069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -3906, -4 in decreasing order.\nAnswer: 4, 0, -4, -3906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/52*(-4)\/(-1). Let g be 5\/(-2)*(-3 + 1). Suppose i*o + 11 = k, 5*o = -4*k - k - g. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.2815 from -5426.10989.\nAnswer: -5421.82839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 660 - 675 - (-1 + -19). Solve 0 + 3\/2*g - 3*g**3 + 3\/2*g**o + 0*g**4 + 0*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133 smaller than -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*u = -38, 156824*u - 156828*u = -4*b + 56 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r = 105. Let y(t) = 120*t**3 + 18121170*t**2 + 17*t + 18*t - 18121135*t**2. Let x(i) = 7*i**3 + 2*i**2 + 2*i. What is r*x(u) - 2*y(u)?\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (48 - 58 - (1 - 7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -280646, -26 in descending order.\nAnswer: 2, -26, -280646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {l: 2, y: 2, f: 2, p: 1, h: 1, q: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -59. What is the first derivative of -33*r**3 - 39*r**a - 5*r + 5*r + 272 + 0*r wrt r?\nAnswer: -216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4)*-4 + sqrt(11) + sqrt(275)*1)**2 - ((sqrt(891) + -2)*1)**2.\nAnswer: -851 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3817111 to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*v = 374*v - 41748. Solve -v - 29 = 20*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*a + 70668 = 79916 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12078 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 10*d + 11. Let s be j(8). Let r = s + 196. Let a(v) = -v**2 + 2*v + 5. Let n(m) = -1. What is r*a(g) - 6*n(g)?\nAnswer: g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 16. Let d be ((-6)\/3 + p)\/(-3). Suppose d*q + 64 = q. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/3 - 37*r**4 + 7012*r**3\/3 + 9920*r**2 = 0. Calculate r.\nAnswer: -155, -4, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -7)\/((-651)\/84 - -8). Solve 0 = 4*a - 12*a + l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-3465)\/11))\/(4\/40*-6).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16810876 divided by -3589?\nAnswer: -4684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119242159*k**5 - 13*k - 24812593.\nAnswer: -2384843180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -39*o**2. Let x(t) be the third derivative of -1\/30*t**5 + 0*t**4 + 0*t + 16*t**2 + 0 + 0*t**3. Calculate x(q(m)).\nAnswer: -3042*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/6 + 11*d**2\/2 - 9*d + 1. Calculate j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67\/56 - 15\/14. Let h = 408 - 408.64. Let x = h + 1.04. What is the third smallest value in m, x, -3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.001 - 0.401. What is the second biggest value in -3\/8, 0.05, a?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/42 - 244*x**3\/21 - 14884*x**2\/7 + 4*x + 4. What is f in h(f) = 0?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**15\/k**(-3\/2)*(k**14\/k)\/k*k\/(k\/k**(-12)*k) assuming k is positive.\nAnswer: k**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*p*u + 447*p + 18*u wrt u?\nAnswer: 5*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*z - 7 + 0 = 0, -4 = -2*a - 2*z. Suppose c - 9*y = -5*y - 15, c + 2*y - 15 = 0. Let k be (3 - c\/a)*2045. Round k to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*a + 1 = 0, 20*v - 1 = 18*v - 3*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 273931699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -332.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 31 = -81. What is the lowest common multiple of f and ((-2)\/3)\/((-12)\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 831 and 9650957.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.022, 2\/11, -0.3, -6153, -0.05?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - -16 - 54 - (-13 - -30).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -361, -367, -375?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 4:42 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.32 + 48.1116. Let m = -0.11 + -0.69. Let r = m + u. What is r rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10 + (-1)\/5. Let a = -4147 + 136864\/33. Let g = a + -2\/33. Is g equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0801105 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) -43 (c) -4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26986514?\nAnswer: 2, 17, 793721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -21. Let f(t) = -t**3 + 5*t**2 + 6*t - 1. Let l be f(s). Let d = 7 - 3. Sort 3, l, d.\nAnswer: l, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2db8 (base 15) to base 6.\nAnswer: -113332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9057 = l - 14056. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519 = 5*d - 206. Let t(q) = -1286*q - 3800. Let h be t(-3). What is the highest common factor of h and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 21\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 6*a - 15. Let l be m(8). Is -1 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**8\/840 - t**4\/8 + t**3\/2 + t. Let x(w) be the second derivative of i(w). Differentiate x(l) wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6262.65 and -0.14.\nAnswer: -6262.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15402 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/141 and ((-2464)\/2304)\/((-4)\/3)?\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 52*n**2 + 2 - 1 - 7*n**2 + 4*n**2 + 2*n. Let c be h(-1). Calculate the greatest common divisor of c and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36820 to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:26 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 + 65 = 0. Let o = 27 + m. What is the remainder when 67 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -107*u**4 - 26*u**2 + 192. Let v(d) = 53*d**4 + 12*d**2 - 96. Let g(p) = 6*t(p) + 13*v(p). Find the first derivative of g(l) wrt l.\nAnswer: 188*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*q - 7565 + 2298, -3*s + q + 3167 = 0. Suppose a - s = -178. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**7\/105 - 11*t**6\/180 - 2*t**5\/15 + t**4 - 16*t**3\/9 - t**2 + 13*t. Determine c, given that n(c) = 0.\nAnswer: -2, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 8ffd63?\nAnswer: -8ffd62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyujrupuubppuypubuuj. Give prob of picking 2 p, 1 u, and 1 j.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 300*d - 2. Give u(1).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.32 - -0.02. Let g = 10 - 10.87. Let a = g - 0.13. What is the third biggest value in 1, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 285\/(-133) - (-7)\/(2254\/1495).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 989*-23.04.\nAnswer: -22786.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/10 and 39\/1166.\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 14 = 4*x, 0 = -8*x + 3*x - s + 23. Suppose 8 = x*l - 2. Solve a + 8 = 3*a - l*o, -2*a - 12 = 2*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 161*u**4 - 11 - 24 - 3 - 224*u**4 wrt u?\nAnswer: -252*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*b*u**3*v**2 + 2*b*u**2 + 16*b + 108*u**2*v**2 + u*v**2 + 174*v**2 wrt u?\nAnswer: -462*b*u*v**2 + 4*b + 216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*b + 2*t, -b = 3*b + 4*t - 44. Let j = 12 + -10. Suppose -5 = -j*i - 4*s + 5, -18 = -5*i - 3*s. What is the lowest common multiple of b and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 6*k**2 - k + 5. Let z be u(-6). Let t = 16 - z. Suppose 27 = 3*j + t*v, -j - 3*v - v = -9. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*1)\/(sqrt(2) + (sqrt(2) - (sqrt(32)\/sqrt(4))\/sqrt(4))))\/(((2*sqrt(96))\/sqrt(12))\/(sqrt(36)\/(sqrt(18)\/sqrt(2)))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.477, -1\/6, -939?\nAnswer: 0.477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17544 + 17543.6. Which is the third biggest value? (a) -5 (b) -29 (c) h (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = 4*g + 133. Let v = g - -167. Solve 2*z + v = -6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217009 (base 10) to base 8.\nAnswer: -647661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -5. Let x be ((-6)\/(-5))\/(d\/20). Suppose 6*t + x*u = 2*t + 16, -4*u - 16 = 0. What is the lowest common multiple of 22 and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-450))\/(6\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2764733\nAnswer: 2764733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*o = 10, 3*d - 4*o = -o + 18. Let l be (-5)\/(26\/(-12) + d). What is the units digit of l\/(-12)*(-1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 291*s*v**2 - 2*s*v + 1535270*s + 10*v**2 - 18*v wrt v.\nAnswer: 582*s*v - 2*s + 20*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -163, -224, -277?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-16 - (7 - 13) - -6) + 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19506897037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(7)*-5 - (-6*(-5 + sqrt(2)))**2.\nAnswer: -972 + 355*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2132208199\/471 - -4526984. Let h = i + -3\/157. Factor 2\/3*o**2 + 0*o - h.\nAnswer: 2*(o - 2)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 352 - 424. Let c = -74.99 - -0.99. Let z = g - c. What is the closest to 0.05 in z, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10100000111?\nAnswer: -10100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -0.05. Which is greater: p or -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394 + 398. Suppose 2*d + 6 = 0, -3*d = -u*b - 1271 + 17292. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(10\/100). Suppose -5*b - a = 4*z, 2*z - 2*b - 20 = -0*z. Find the third derivative of -9*r**5 + z*r**2 + 3*r**5 - 12*r**2 wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 170\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139\/3 + -46. Put 3, 0.03, b in decreasing order.\nAnswer: 3, b, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - -30 - (0 - (-17 - -25) - (1 - -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234177.\nAnswer: 3, 78059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 11. Let k = n + 30. Let c = k - 11. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (368820\/5100 + -73)*-85\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/5? (a) -493 (b) -3 (c) -2\/47971\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 876.973904 rounded to the nearest 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 4 = -n + 5*k, -n - k = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 45*t**2 - 200*t - 240.\nAnswer: 5*(t - 4)*(t + 1)*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 0.3 (c) -3\/5 (d) -0.029\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53311664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17570300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + i - 1 + 4)*(-122*i**3 + 173*i**3 - 242*i**3).\nAnswer: -191*i**4 - 764*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 908, 1817, 2726, 3635?\nAnswer: 4544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -15 + 13 + -24.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11338233 greater than -11338231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srp when three letters picked without replacement from rrbrpzzzoprbsrprsz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1786*h - 8888. Calculate q(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 3. Put 0, a, -1 in decreasing order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9271*f - 194598. Give j(-21).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-133)\/21)\/19)\/((-45)\/(-81))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 10. Determine u(-17).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 796, 1764, 3130, 4900, 7080, 9676?\nAnswer: 12694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 p when three letters picked without replacement from {v: 5, p: 3, q: 4}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 - 30. Let q = r - 82.6. Let x = 11 - q. Are -1\/10 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -660 - -4622\/7. What is the third biggest value in -4, -1\/15, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 696.9 + -773. Let z = -12.1 - w. Let l = z - 64.00000124. What is l rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-368)\/(-115) - (-2)\/(-10). Sort -5, 1, b, -4 in descending order.\nAnswer: b, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 f when three letters picked without replacement from {j: 3, t: 10, f: 2}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235, -9\/145, 3\/4, -5 in decreasing order.\nAnswer: 235, 3\/4, -9\/145, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1*76\/(-114)*15\/16?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1377 < -11823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + ((-145)\/(-4) - (-143)\/(-572)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179*g + 221*g + 4*g**3 - 150*g - 12*g**3 - 2 - g**2 to c*g**2 + h + w*g**3 + f*g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4052 divided by -90297\nAnswer: -4052\/90297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/4 - (-1)\/2. Suppose 3*t + 2*y - 4*y - 56 = 0, -50 = -2*t - 5*y. Suppose -r*v - v = -t. Let a(m) = m**3 - 3*m**2 - 3*m. Give a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 34 = -4*w, 2*h = -272*w + 276*w - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -59. Find the third derivative of -116*p**4 + 116*p**k - 14*p**6 + 14*p**2 wrt p.\nAnswer: -1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w - 5*j - 20 = -42*w, 2*w + 10 = j for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492 - 4*t**2 - 492.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*d**3 - d**2 + 7*d**4 - 41 + d**2 - 29 + 75 to s + l*d**2 + i*d**4 + q*d + r*d**3 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 10*h - 6*h. Let k = h - -6. Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -31 (b) 0 (c) -9 (d) -15882 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 67*k + 92 - 191 - 76*k + 7*k**2 + 99. Let b(v) = -25*v. What is b(x(y))?\nAnswer: -175*y**2 + 225*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -193, -153, -91, -7, 99, 227?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2 = -3*t + 40, -2*i + 4 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 992 divide 85974656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4713 or -117828\/25?\nAnswer: -4713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 33*b + 3. Let v(r) = -r**2. What is k(v(d))?\nAnswer: -33*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*(620\/84)\/(-5) - (-36)\/6\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57195 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 5) in base 9?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 5325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 19*a**2 - 70*a + 25. Give x(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 891, 3312, 7341, 12972, 20199, 29016?\nAnswer: 39417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59950*b**4*l - 3839*b**3*l**2 - 460*b**2 - 12*b*l**2 + 463*b + l wrt b.\nAnswer: -1438800*b*l - 23034*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 1. Let k = 9 + -6. Let f be k - 1 - (-2 + 5). Let l = f - 0. What is p(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*y - 192*y - 51 - 66 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.08, 2\/11, -3.7, -0.2.\nAnswer: -3.7, -0.2, 0.08, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.01. Let x = -0.02 + q. Let w = x - -0.53. Sort -0.5, w, -5 in decreasing order.\nAnswer: w, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58b (base 12) to base 9.\nAnswer: -1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7744*b + 54211. Determine w(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63644 + -63596. Let q(w) = w**3 - 4*w**2 + 2*w - 3. Let s be q(5). Calculate the greatest common factor of s and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516104 divided by 129026?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -86*a**5 - 5*a**4 + 5*a**3 + 142*a + 5. Let u(y) = y**5 + y**4 - y**3 + y - 1. Let c(x) = i(x) + 5*u(x). Find the second derivative of c(m) wrt m.\nAnswer: -1620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5729, 11580, 17435, 23294, 29157?\n\"Answer: 2*r**2 + 5845*r - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 11*x**2 - 10*x - 17. Does 7 divide p(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -1.4. Let g = 2.9 - 3. Let i = 45.2 - 45. Which is the nearest to v? (a) -12 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35, 80, 155, 260, 395, 560, 755?\n\"Answer: 15*x**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 934332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 52, -59*i + 5*l + 161 = -43*i. Factor -i*f**3 + 0 - 16\/7*f + 2\/7*f**5 - 10\/7*f**4 - 46\/7*f**2.\nAnswer: 2*f*(f - 8)*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500 is divided by 167.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0.1389 (b) 3 (c) 0 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 13.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**2 - 3*w - 4. Let m be c(-1). Solve -2*y = -m*v + v - 12, 3*v + 10 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.64, -7, -8, 3\/2, -2.2?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*h = -p + 8, p - 4 = 5*h. Suppose 4 = -5*a + 2*j, 4*a - 4*j - p = -0*a. Is 12 a factor of (-1)\/a*(-1 + 85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83112597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 91.086 millimeters in micrometers?\nAnswer: 91086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19449 and 2.\nAnswer: 38898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by ((-109)\/(-654))\/((-1)\/(-354)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23881)\/(-44088)*(0 - 16\/(-52))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(5\/2 + -3). Suppose 0 = 17*d - s*d. Suppose -5*f + 62 + 28 = d. What is the remainder when 123 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 0) + -2)*(123 + -132)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 339905100 and 1500?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 64771400*i - 209766712898000.\nAnswer: -5*(i + 6477140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 57 = c - 137, -91*k - 4259 + 553 = c + 2022 for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5491*g + 419*g**4 + 912*g**4 + 6107*g wrt g.\nAnswer: 15972*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -93. Which is greater: 58 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - -0.1. Let r = 0 - z. Let y = -66794 - -66793. Which is the closest to y? (a) -8 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 26*w**2\/11 - 2361862*w\/11 - 363364\/11 = 0.\nAnswer: -2\/13, 90841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 8*i - 504. Let n be (18\/i)\/((-1)\/(-12)). Solve 35 = 5*o + n*u, -o - 5*u + 31 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(6 + (0 - 3) + -1). Suppose -x - x + 16 = 0. Suppose s + 2*n - i - x = 0, n + 48 = 3*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*k**3 + 4 - 6*k + 7 + 0 - 20*k**3.\nAnswer: 93*k**3 - 6*k + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - f)*(22 - 22 + 6*f**2 - 3*f**2 + 3*f - 3*f + (-3 + 2 + 3)*(f**2 + 4*f**2 - 3*f**2) + 2*f**2 + f**2 - 2*f**2 + 230*f - 230*f - 24*f**2).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 8*j**2 + 3*j - 4. Let i be h(-3). Suppose 61*x = 60*x + i. Suppose -x*g = c - 5*c - 456, c = -2*g + 172. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 53?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 - 104*m**2 - 34*m + 1511. What is p(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*t**2 + 11*t + 18*t**2 - 6 + 29*t**2 to z + h*t**2 + u*t and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1629 and -537981770.\nAnswer: -537980141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*d**3 - 25500*d + 25500*d.\nAnswer: -558*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*n - 16 = -n, -t - 4 = 4*n. Suppose 60 - t = 4*s. Let g be (7\/(-14))\/(3\/s). Let h(j) = 5*j - 1. Give h(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = -4. Calculate the remainder when 2\/9 + -6*49\/(-378) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290 - 253. Find the second derivative of -9*w**2 - 18*w**2 - 21*w - k*w - 2*w**4 + 18*w wrt w.\nAnswer: -24*w**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11473.31504 to the nearest integer.\nAnswer: 11473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 8*i**2 + 2*i + 10. Let k be l(-8). What is the units digit of -4*2*(k + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1802\/23663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 16 - 106 = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1413 - -1412.9998721. Round y to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 + 6. Let o = -0.9 + p. Let t = 0.4 + o. Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 7*l - 4*l - 7*l + 0 - 10 as d + k*l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 88, 0, 3 in decreasing order.\nAnswer: 88, 8, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 92. Let b(l) be the second derivative of -2*l**3\/3 - 25*l - 13. Determine b(g(y)).\nAnswer: 8*y**2 - 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1833, 17402, 43349, 79674?\nAnswer: 126377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 922 + 926 + 17*j + 920 - 2770. Let g(f) = 24*f. Calculate q(g(b)).\nAnswer: 408*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 2.1. Put 1\/12, -2, i in increasing order.\nAnswer: -2, i, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 119*m**6\/120 + m**5\/30 + 79*m**4\/12 + 453*m**2. What is the second derivative of q(f) wrt f?\nAnswer: 714*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2320, 8933, 19952, 35377?\n\"Answer: 2203*j**2 + 4*j + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8048 and 103\/30952?\nAnswer: 31137712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdh when three letters picked without replacement from dddddhdhddddhhddhd.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 + 100?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:56 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**5 + 5664*h**4 + 484740*h**3 + 433744*h**2 - 3900336*h - 5748480 = 0?\nAnswer: -80, -2, 3, 1497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orj when three letters picked without replacement from jjzooorjooozoro?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*n + 67. Calculate the remainder when n is divided by (1 - (-6)\/2)*7\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(22\/6 - 1). Let l(i) = i - 6. Let k be l(f). What is the tens digit of (19 + k)\/(3\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) 8 (d) -0.5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 7.\nAnswer: -1, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 847434064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 761\/2 + -381. Let m = 14 + -10. Which is the nearest to f? (a) -2\/23 (b) m (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(8)*-1) + (sqrt(63) - (-1*sqrt(630))\/sqrt(10)))\/((sqrt(1089) + sqrt(1089) + 2*sqrt(1089))*4).\nAnswer: sqrt(7)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31.09149 months?\nAnswer: 2.5909575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**6\/360 - o**5\/30 + o**4\/6 + o**3\/3 + 8*o**2 + 50. Let c(r) be the third derivative of s(r). Give c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4257794509 + 2286704726. Let g = 1971089703.0000091 + d. Let n = 80 + g. What is n rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 3. Let i be u(-6). Suppose i*x + l - 11 = -0, 3 = 3*x + 3*l. What is the lowest common multiple of x and ((-14)\/(-6))\/(6\/18)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.02 - 0.02. Let s = d - 2.6. Let j = 1 + -1.5. What is the third biggest value in s, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -29*v - 1 + v + 19*v. Calculate i(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 4 - 76*l**3 + 61131*l**4 - 61133*l**4 + 3 to p*l + i*l**4 + b + f*l**2 + y*l**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.2 - 7. Let m = 0.7994 + n. What is m rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 16*s**2 - 19*s - 7. Suppose -2*p - n - 14 = 0, 33 + 4 = -5*p - 2*n. What is the tens digit of h(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/42 + 2\/7. Suppose i*k = -a - a + 18, 4*k = a + 6. Suppose -a = 2*w - 4*w. Calculate the greatest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -35 + 11. Let m = 68 - o. Suppose -2 = 3*k - m. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29877832 to the nearest integer?\nAnswer: 5466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 3*b - 1. Let q be l(-3). Let y be (-4)\/14 + q\/28. Suppose 3*r + 1 - 7 = y. Solve 2*z + 2*i + 4 = 0, -2*i = -2*z - r*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841476378.\nAnswer: 2, 3, 140246063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26*8\/16 + -8. Solve 6*p = b*p - 11*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71967 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o + 41 = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -819373*b**2 + 853104?\nAnswer: -1638746*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvavxlxxqqxb. What is prob of sequence lq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1101000011001010 (base 2) to base 16\nAnswer: -d0ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -11. Suppose 64*j - 2540 = 2772. What is the remainder when j is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.482158959 rounded to 4 dps?\nAnswer: -0.4822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 184, 318, 474, 646, 828, 1014, 1198?\nAnswer: 1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 5993?\nAnswer: 1797.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + l**2 + l - 5*l**3 - 13*l**2 - 7*l. Let w(z) = 4*z**3 + 11*z**2 + 2*z - 1. Let c(a) = 5*k(a) + 6*w(a). Suppose 5 + 1 = q. Determine c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**5\/60 + 11*x**4\/24 + 7*x**3\/2 - 6*x**2. Let q be u(-9). Suppose -j + 3*j = q*y - 15, -j = -y + 9. Is -11 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:44 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -206*g**6\/3 - g**4\/4 + 2*g**3\/3 - 31*g**2\/2 + 30*g - 7467. Find the second derivative of r(q) wrt q.\nAnswer: -8240*q**3 - 6*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 105482 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 67777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/5 + 2318599824*b\/5 - 335994071490801936\/5.\nAnswer: -4*(b - 289824978)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 1.8. What is the third biggest value in -4, -5, d, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -96\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + i)*(-2446*i - 5371*i - 2097*i).\nAnswer: 29742*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -122448, -245586, -368722, -491856?\n\"Answer: m**2 - 123141*m + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.84 - -1.24. Is d greater than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*x + 8*x. Suppose 2 = -x*y + 3*y. Which is the nearest to -0.1? (a) y (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227820410, 227820412, 227820414, 227820416?\nAnswer: 227820418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4 - 55*y**3 + 1950*y**2 = 0.\nAnswer: -26, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*(0 + sqrt(162)) + sqrt(162) + sqrt(162))**2 - (sqrt(162) + sqrt(162) + 1 - sqrt(162))*2).\nAnswer: -72*sqrt(2) + 10360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**2. Let x(t) = -t**2 - 48. What is g(x(p))?\nAnswer: -8*p**4 - 768*p**2 - 18432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Sort -2, d, 0.2, 0.01.\nAnswer: -2, 0.01, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, 157, -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/280)\/((-14)\/175)*-7 + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 11) to base 15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtytt. Give prob of picking 1 d and 3 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.191875 rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - 2*p**2 + 2*p**2 + (2*p**2 - p**2 + p**2)*(-2*p + 8*p + p).\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 36*a**2 - 15508*a + 482758. Calculate g(397).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let q(d) = -2*d. Let b(z) = 2*o(z) + 3*q(z). Suppose -5*r - 8 + 18 = 0. Suppose -w - 6 = r*w. What is b(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 108 = -4*w, w + 4*k + 3 - 92 - 29 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 0 - (-6 - 23 - (93 - 104))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 3 + 6 + 17*n.\nAnswer: 17*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(-5 + -2 + sqrt(1700) + 1*sqrt(1700) + sqrt(1700) + -5))**2.\nAnswer: -5580*sqrt(17) + 138661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x**2 + 423*x - 848. Let o be k(2). Solve o*a + 72 = -166 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9\/4, -1, 0.02, 0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 15. Let n(s) = -2*s + 14. Suppose -5*q + 35 = 4*l, 9*l = 8*l + q + 2. Give l*k(x) - 6*n(x).\nAnswer: 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/9)*s)\/(s**(5\/2)*s))\/(s**(2\/5)\/(s**(-2)*s)) assuming s is positive.\nAnswer: s**(-281\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74961182 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -2151?\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, x: 7, c: 8}. Give prob of sequence ccu.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 5. Let t = s - -8. Sort 5, t, 8 in decreasing order.\nAnswer: 8, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -44*i + 53*i. Solve v + 5*y + 26 = 0, 3*v + 14 = -i*y - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, p: 2, x: 1}. What is prob of sequence xbpb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 50*d + 28. Let k(w) = -187*w - 110. Let v(z) = 4*k(z) + 15*n(z). Let s(m) = -2*m**2. Determine v(s(q)).\nAnswer: -4*q**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 325 = -343. Solve 0 = 3*t - k + a, -5*t + 4*k = 9 - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -19*d + 20. Let x(q) = -q + 1. Let y(p) = t(p) - 3*x(p). What is the first derivative of y(u) wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (0 - 2) + -2. Let v(z) = -z**2 - 5*z - 1. Let g be v(q). Suppose 3*c - 6*c = -x + 16, -g*x - 2*c = -15. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 249802 = d, -2*z + 25*d = 26*d - 55517. List the prime factors of z.\nAnswer: 5, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b1 (base 14) in base 7?\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17283266 by 17266.\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3698, -1, -15237 in descending order.\nAnswer: 3698, -1, -15237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y + 72*y - 30*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/5, -11.9, 0.02, 2\/5.\nAnswer: -11.9, -2\/5, 0.02, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*k**2 - 104*k**4 + 92*k**4 + 10*k**2 + 2*k**5.\nAnswer: 2*k**2*(k - 4)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2248 = -s - 4*i, -44*s + 6659 = -41*s - 5*i. Suppose 5*y = 3*r + 5265 + s, -1496 = -y - 2*r. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*j + 4*o, -2*j + 2*o + 0*o = -20. Let c be j\/21*(-30)\/(-4). Suppose -46 = -3*f - 2*l, -3*f - 49 = -c*f - 5*l. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066070676 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, -10, 3\/5, -2, 61.8, -4\/3 in ascending order.\nAnswer: -10, -7\/2, -2, -4\/3, 3\/5, 61.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmglgvlgggglllgggggg. What is prob of sequence mlg?\nAnswer: 13\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -219 or -220?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3212*o - 3208*o = 31, 4*h + 2*o - 28 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06062*-137.\nAnswer: -8.30494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -7 - (13 + (-221)\/13). Let j = -0.1 - -0.2. What is the biggest value in r, j, 9, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = -170 + 242 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521585 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -518a31 - 8a?\nAnswer: -518abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715689 is divided by 573.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m - 9. What is the units digit of b(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-22\/5)*s)\/(s\/s**4) assuming s is positive.\nAnswer: s**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 16 = 2*n, n + 5*u = u - 5. Suppose 2*x - 35 = 3*m, -n*x - x = -4*m - 68. Suppose -3*c - 1 = -x. Solve -8 = c*g + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/5712 and -73\/194544.\nAnswer: 3307248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -55*d**3 + 3*d**2 - 4*d + 65. Suppose -3*u + 44 = 8*u. Let n(x) = -x**2 + x. Let z(v) = u*n(v) + l(v). What is the first derivative of z(h) wrt h?\nAnswer: -165*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 5, -3, -4 in descending order.\nAnswer: 5, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)\/((-8)\/40). Suppose t - 10 = -c. Suppose 3*f = -f + 4*w + 488, -368 = -3*f + c*w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p**2 - 1\/3*p**3 + 0*p - 1\/3*p**4 + 0.\nAnswer: -p**3*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.23 + -8.73. Which is the nearest to 1\/5? (a) -3 (b) 2 (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 - 36*y - 11. Determine c(-12).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*d = 7, 0 = -c - 0*d - 3*d - 1. Let x = -1726 - -1718. Let o be (x - 248\/(-28))*7. Put c, o, 4 in decreasing order.\nAnswer: o, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 19*z - 4*s = -71, -3*z - 10*s = 8*z + 175 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -185*g - 4*g + 1767 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -84545643324587?\nAnswer: 84545643324586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-178)\/1424)\/(4\/60*3)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -2*c + 25\/2*c**2 + 35\/12*c**4 + 0 + 0*c**3. What is the first derivative of n(x) wrt x?\nAnswer: 70*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1500220219?\nAnswer: 1500220219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 5) to base 12.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -568*k**2 + 299*k**2 + 828*k**2 in the form z + n*k**2 + a*k and give n.\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17483.8627 + 17494.6. Round m to one decimal place.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -27*v + 5. Let g be p(2). Let o = 113 + g. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1cbc (base 14) to base 10\nAnswer: -5262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 2 - 3*f**3 - 3*f**2 + 5*f - f**3 + 3*f**3. Let x be m(-6). Suppose -4*q + 2*b + 72 = -0*b, 2*b - x = 0. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*w - w + 309, -m + 5*w + 56 = 0. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 3*q**2 + 4*q - 7. Let u be (0 - 3)*(9 - 10). Let z be g(u). Solve 0*h + z = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4\/4 + 57*s**3\/4 + 307*s**2\/4 + 195*s\/4 - 279\/2 = 0.\nAnswer: -3, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.69 + 1.31. Let j be 2*(7\/6)\/7. What is the third smallest value in j, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-2 + 95 + -18 + (-3 - -25))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 g, and 1 z when four letters picked without replacement from {i: 3, x: 7, g: 1, z: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 3 + 0*v + 6*v - v to u*v + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4515451056?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74 - 11*y + 12*y - 184 + (0 + 2 + 0)*(-4*y + y + y).\nAnswer: -3*y - 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*p + 8*p. Suppose 3*w + 184 = 4*o - w, p*o + 5*w - 210 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 24, 42, 66, 96, 132, 174?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2. Let r(c) be the third derivative of -c**5\/60 - c**3\/6 - 14*c**2. Let t(p) = 2. Let z(v) = -2*r(v) - t(v). Determine z(j(n)).\nAnswer: 98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 12236075?\nAnswer: 12236075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -36*v + 1. Let u be m(-5). Let y = 5380 - 5234. Suppose h - u = d - 6*d, 2*d = h - y. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2454)\/(-10) + (-2)\/5. Let r = 20750 + -20575. Calculate the highest common divisor of z and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let b = -80 + 82. Let f(k) be the third derivative of 0*k**3 + 0*k + 0 - 1\/12*k**4 - 3*k**b. What is o(f(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3554459 - -319.2265.\nAnswer: 3554778.2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than or equal to 197\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + q + 17 = -0*x, -19 = -5*x - 3*q. Suppose -x*h + 7 = -c, -4*c = -2*h - 2*h - 4. What is the greatest common divisor of 8 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007481 - 5*m**3 - 2*m**3 - 2014849 + 1007368.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 6*q - 12 = 0. Let k be (2\/q)\/(3 + -1). Sort 0, k, 1\/6, 1.\nAnswer: k, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let g(s) = -45*s. Let p(t) = 5*t - 11*t + 5*t. Let m(b) = b**3 + 15*b**2 + 34*b + 3. Let z be m(-12). Let x(d) = z*p(d) - g(d). What is x(c(j))?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 1 - 1 + (-5 + 2 + 2)*(-h + h + 2*h) + (-3 + 3 - 2)*(-122*h + 157*h - 268*h) + (h + 2*h - h)*(0 + 2 + 0) as s*h + i and give s.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 18*o - 60. Let v be g(3). Let n(h) = 6*h**2 - 11*h - 5. Let m(f) = -2*f**2 + 4*f + 2. Determine v*n(l) + 8*m(l).\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymymmfm. What is prob of picking 1 f, 1 m, and 2 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 6*y + 5*y = -60, 3065*y = -5*q + 3071*y + 123 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 2 i when four letters picked without replacement from zzizzezzzkffifzzkzz.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 769, 1915, 5017, 11053, 21001, 35839, 56545?\nAnswer: 84097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*s**2\/3 + 384634*s\/3 - 641440.\nAnswer: 2*(s - 5)*(23*s + 192432)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -569577470 divided by 1056730?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) - (-2)\/(-4). Let l(t) be the third derivative of 0 + 0*t**3 + t**2 + 0*t + p*t**4 + 1\/150*t**5. Solve l(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77131 divided by -1\nAnswer: -77131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - 2*sqrt(49))\/sqrt(7))**2 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - t = 2*a + 8419997, 4*t = -2*a - 8419988. What is a rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**6 - 136286*h**4 + 64*h**3 + 50*h**2 + 7700*h - 25 wrt h?\nAnswer: -240*h**3 - 3270864*h + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513897901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/5*1\/2. Let s = 0.1 - -0.3. Which is the closest to -1\/3? (a) p (b) 4\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3\/8))\/(m*m**12)*m**(-6)\/(m\/(((m**(-13)\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-277\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 + -42)\/(-5 + 7 + (-2 - 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 359*b - 13 = -360*b, -4*b = -5*n - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 8*m - 3. Let i be c(9). Let d(s) = s**3 - 4*s**2 + s - 2. What is the units digit of d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 4:13 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*o + 4, -2*o + 17 = -5*n - 0*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-86 - -74) + (1 - -7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-25)))\/v**(-18)*(v\/v**(-9\/8)*v)**(-3\/28))**(-2\/5) assuming v is positive.\nAnswer: v**(1643\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*1)**2*-6*-4 + sqrt(931)*1*-6 + sqrt(931) + -2*sqrt(931)*2.\nAnswer: -63*sqrt(19) + 22344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10162.2492 times -0.7?\nAnswer: 7113.57444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10294 - 10294.2. Let j = -14\/15 - -71\/60. Which is the smallest value? (a) j (b) f (c) -2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1966 + -1371. Let q = u - 2959\/5. Find the common denominator of q and 63\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 405761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:04 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.438 - -0.162. Put -1\/2, 2, p, 3 in decreasing order.\nAnswer: 3, 2, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 16*g - 26*g - 4 + 38*g.\nAnswer: -4*g - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 4503270?\nAnswer: 1\/4503270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 16*f.\nAnswer: 2*f*(f - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 15*r**2 - 16*r - 11. What is h(-16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 49 - 211)*((-3 + 3 - 3)*(2*t - t + 2*t) + 4*t + 2*t - 4*t) + (-t + 0*t + 2*t)*(-7 + 3 + 2).\nAnswer: 1363*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*b = b + 5, -4*b = -5*k - 9. Is -1 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -260 - -265. Let r be ((-2)\/(-4) - 1)*-6. Suppose 5*j = -2*p + 21, -4*j + 30 = -2*p - r*p. Which is the biggest value? (a) -0.76 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 383 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -198 - 3456. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t**2 - t + 1. Calculate v(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13122*n**5 + 196182*n**4 - 974438*n**3 + 1591770*n**2 + 80400*n + 1000.\nAnswer: -2*(n - 5)**3*(81*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02840857361 to five dps.\nAnswer: -0.02841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*o + 203. Suppose -a - 5*b = 2*a - o, -4*b = -4*a + 16. Suppose -2*d - 2*d + 12 = 0. Calculate the remainder when a is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.125 + -80.875. Let u = -142770 - -142689.087. Let d = c - u. What is d rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 614458*m - 614812*m + 12036 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2586*o - 356879. What is q(-138)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77.1 + -77. Which is the third biggest value? (a) 2\/17 (b) -0.3 (c) 4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 7*d**2 - 69*d - 633. Calculate l(9).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2059, -2306, -765, 2564, 7681, 14586?\n\"Answer: 894*x**2 - 2929*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*f - 32*f - 4*m + 8, -4*f - 2*m - 22 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-4)\/(-6) - 7. Let r = -152 - -172. Let b(o) = 10 - 44*o + r*o + 25*o. Give b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 - 1290*y**4 + 71878*y**3 + 2016786*y**2 + 15008544*y + 32698080 = 0.\nAnswer: -9, -4, 87, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:24 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - a**4 + 11*a**3 + 275927*a**2 - 551855*a**2 + 275928*a**2 - 2*a in the form f*a**2 + s + p*a**4 + v*a**3 + x*a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {c: 6, z: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (3 + 0 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*q + 2*h, -q - 37 + 30 = -2*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 725, 1098, 1475, 1856?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 5*a + 30, 5*o + 5*a = 10. Suppose 3*u - 31 = o*q, 3*q - 4 + 13 = -3*u. What is the lowest common multiple of 219\/12 + (-3)\/12 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*o = 684*o - 5746 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 10. Suppose 3 = t*r - 1. Suppose -6 = -r*l + 2*u - 6*u, -2*l + 9 = u. Solve -5*x + 5 = l*v, -v - 4 = 3*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 18*y - 1. Let t = -55 - -77. What are the prime factors of h(t)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s. Let j(y) = 9 + 14*y + 5 - 21*y + 10 - 27. Calculate p(j(r)).\nAnswer: -14*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -249 + 239.84. Let s = -9 - t. Let k = -0.04 - s. Sort -5, -1, k in decreasing order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 2. Suppose 146 = -2*x + x + 2*h, -u*x = -h + 598. Is (-1)\/(2 - x\/(-74)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**3 + 17*o**2 + 4. Let q(j) = -5*j**3 - 9*j**2 - 2. Suppose 5*w = -f + 3*f - 65, -4*w + 4*f = 64. Let l(c) = w*q(c) - 6*a(c). What is l(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147947958 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3372 divided by -6.\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**7\/210 - 5*m**6\/24 + 13*m**4\/12 - m**3\/3 - 3*m**2 - 4. Find the second derivative of k(u) wrt u.\nAnswer: -12*u**2 - 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, -1, -1\/2, 75\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(2\/13)*w\/w**(23\/2)*(w\/(w\/(w\/(w**(5\/2)*w*w))))\/w**(-19) assuming w is positive.\nAnswer: w**(80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3 and -0.07 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-2635)\/(-310)*2\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 24*f**2 + 2. Calculate the remainder when 1033 is divided by l(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31.44 in 1, -4, 420?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18401 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/70 + (-30)\/35. What is the closest to z in -1\/4, -3, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14220 divided by -1185\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -107514849823 plus -160?\nAnswer: -107514849983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 833, 835, 837, 839, 841, 843?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 706 = 578. Suppose -h - 16 = -5*b + 3*y, -5*b = -y - 220. Let a = b + -41. Put a, 4, 30, 5 in ascending order.\nAnswer: a, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (3*(sqrt(243) + 0)*4)**2.\nAnswer: 34994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 > -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -0.5, -0.39, -1\/9, 18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1123*i**3*j**2 - 25*i**2*j**2 + 16*i*j**2 - i*j - 6*j**2 + 4*j wrt i.\nAnswer: -6738*i*j**2 - 50*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 138981*i - 6532129. Determine m(47).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + -4 - 3*(-1 + sqrt(3)).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, w: 1, e: 5, m: 4}. Give prob of picking 1 b, 1 w, 1 e, and 1 m.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2215388, -2215401, -2215428, -2215475, -2215548, -2215653, -2215796, -2215983?\n\"Answer: -y**3 - y**2 - 3*y - 2215383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -53717*i**3 - 5*i**2 - 25*i - 8. Let x be y(-4). What is x rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -109 and 49070 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -8*n - 73. Suppose -4*k + 5*i = -21, k - i = -2 + 7. Let t be 12\/8*(-1)\/k. Which is the closest to 0.1? (a) -1 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -3*y - 5*c - 1, 0 = 3*y - 3*c - 3. Let h = -1 - 1. Let x = h + 6. Solve -k + y*b = 11, -x*b - 2 = k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169\/7 - 1\/7*s**2 - 24*s.\nAnswer: -(s - 1)*(s + 169)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c**2 - 170772 + 170774 - 6*c + 16*c**2. Suppose 2*m - 1 = -5, 4*m + 36 = 4*s. Give a(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0.1, -13 in ascending order.\nAnswer: -13, 0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*p + 911, 0*j - j = p - 451. Let w be ((-4)\/(-14))\/(128\/p). Which is smaller: w or 2\/549?\nAnswer: 2\/549","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - 32\/((-64)\/3)*2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3840491 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d**2. Suppose 0 = 6*t - 21 + 9. Let k(u) = -2*u**2 + 2*u**2 - 7*u**2 + 6*u**t. What is k(z(w))?\nAnswer: -121*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - v - 1. Let f(u) = 48*u**2 - 56*u - 56. What is -112*b(q) + 2*f(q)?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(-2)\/(30\/(-55)). Let n be 1\/(-5) - (-168)\/15. Calculate the highest common factor of o and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 7:15 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 - 16*t + 2. Let q be 9\/(-4*1\/(16\/(-12))). Let o be v(q). What is the nearest to 4\/5 in 3\/7, o, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 7*w - 7. Let q be -10 + (-8)\/(-2*2). What is the units digit of x(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 2*q**3 - 6*q**3 + q**3 + 2*q.\nAnswer: -3*q**3 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -34. Let p(r) = r**2 + 9*r + 9. Suppose -23 = 3*u + 4*t, -t = -2*u - 3*t - 16. Let a be p(u). Calculate the greatest common divisor of a and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eennnenenn. What is prob of sequence ee?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 10*q + 4. Let o be w(-10). Suppose -p + z + o = 0, p = -2*p + 4*z + 12. Solve 6*u = 2*u - 3*b - 12, -b - p = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 262331.7km?\nAnswer: 262331700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19923, 8 in decreasing order.\nAnswer: 8, 2, -19923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**2\/4 - 4141*j\/4 - 41010 = 0.\nAnswer: -4101, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 0. Let t(d) be the second derivative of -d**5\/20 - d**4\/4 + d**3\/6 - 3*d**2\/2 - d - 1072. Let i be t(o). Which is greater: i or -50\/9?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-6))\/(4\/(-264)). Let s be b\/10 + 6\/(-15). Let f = -14 - s. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10680, 21347, 32002, 42645, 53276?\nAnswer: 63895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/593 + -1196\/2965. Let j = 21 - 167\/8. Which is the third biggest value? (a) j (b) q (c) 2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/20)\/((-81)\/30).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468227 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 467*d**5 - 2*d**4 + 223*d**2 wrt d.\nAnswer: 28020*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/41518048 and -49\/2106624.\nAnswer: 996433152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1)\/(12\/(-4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*l**3 + 244871*l + 949260 wrt l?\nAnswer: 15*l**2 + 244871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Let w = -12 + f. Let h be (0 - -33)*w\/(-3). Calculate the greatest common factor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 4*w + 10, 3 = -3*w - 11*m + 14*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 282 divided by 47\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 4. Let o be a(-4). Let y be 26\/6 + o\/(-6). Suppose 3 = y*z - 92. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-230)\/(-70) + (-4)\/14. Suppose -235 + 30 = 5*q. Let v be f\/3 + 2*q\/(-2). What is the greatest common factor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:25 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -73 (b) 0.2 (c) -19 (d) -206\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 398*o**3 - 33*o**4 + 157 + 1 + 401*o**3 + 396*o**3 - 1193*o**3 in the form l*o + i*o**2 + x*o**3 + n + c*o**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1062 - 9559\/9. Suppose -1 = -5*h + 14. What is the second smallest value in m, h, 1, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29795.4 and -0.2.\nAnswer: -5959.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d = -34*y - 23*d - 90, 3*y + 5 = d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 8148?\nAnswer: 89628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 492000 rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -355 - -369. Solve 24 = -2*z + k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1721096.\nAnswer: -516328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, 0, -972, -56, -1.\nAnswer: -972, -56, -4, -1, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -39*r**2. Let y(b) = 3*b**2. Determine c(y(w)).\nAnswer: -351*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33374*l + 12627?\nAnswer: 33374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429576344?\nAnswer: 2, 457, 117499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 4 - -3 - 0. Let l(t) = 279*t - 8. Let p(c) = -349*c + 10. Let r(u) = -5*l(u) - 4*p(u). Let h(z) = 0 - 1 + 0. Determine f*r(o) + h(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9 = -5*f, 2*f - b = -0*f + 5. Sort -10, -1, 0, f in descending order.\nAnswer: f, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -2)*5\/(-210)*14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n**3*u**2 - 6*n**3 + 2*n*u + 2*n - 153*u**2 - 2 wrt n?\nAnswer: 54*n*u**2 - 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - z - 18, 2*y - 5 = z + 1. Sort 5, y, 33 in descending order.\nAnswer: 33, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/104*1*-2*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 3*u - 4. Let j be x(6). Let z(f) = -2*f + 4*f - 3*f + 14. Let k be z(j). Solve -5*r + 15 + 5 = k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4046*w. Let c(j) = 6*j. Determine c(i(u)).\nAnswer: -24276*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*i + z, 3*i + z - 24 = -2*z. Suppose i*r + 0*r = -406730. Let a = r + -288654. What is a rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196610220 != 983051098\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**5*s - 13896509*d**2*s**3 + 3*d*s**3 - 2*d*s**2 + d*s + 29*d + 105350*s**3 + 2 wrt d?\nAnswer: 60*d**3*s - 27793018*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + 3 + -1*(sqrt(19) + 1)**2 + ((sqrt(19) - sqrt(95)\/(sqrt(5) - (sqrt(5) + sqrt(5)*-3))) + -1)*-4.\nAnswer: -13 + 22*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10836, -21650, -32464?\n\"Answer: -10814*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56126 and 63?\nAnswer: 505134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/4 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g - 544 - 27*g - 560 + 1149.\nAnswer: 17*g + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6237 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**3\/6 + 2*n. Let v(m) = -m**3 + 12*m**2 - 10*m - 10. Let r be v(11). Give k(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -856*u + 865 wrt u.\nAnswer: -856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -3. Let d(g) = 11*g - 4. Let r be d(2). Let z = r + c. What is the remainder when 55 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -14789.\nAnswer: 7394.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76480 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = -31*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -13. Let n be 222*((-4)\/o - 0). Is 19 a factor of (n - -2)\/(-2 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 5 - 4)*(1 + a - 1) + 2*a + 3*a - a)*(-2*a + 4 - 4) in the form d*a**2 + g + q*a and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2896 and 816?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -578176 + 11?\nAnswer: -578165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-12)*o)*o*o**(-3\/5) assuming o is positive.\nAnswer: o**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263325 - x**2 - 263325 - 3*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -29*d**2 + d + 1. Determine g(2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 6*l**2 + 4*l - 7. Let w be j(-7). Let f = -7 + w. What is the highest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptdtttttttto. What is prob of sequence pdot?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.5 and -0.04025.\nAnswer: -15.54025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -1172*o**2 - 874. Let g(w) = 2*w**2. Give g(l(u)).\nAnswer: 10988672*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 36 (b) -6.9 (c) 0.4 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -11. Let l(a) = 2 - 2*a + m*a + 0*a. Calculate l(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 + 168. Let l = -5 + 10. Suppose 0 = -l*p + 16 + z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.964 + -0.036. Put r, -1\/5, 2\/11 in decreasing order.\nAnswer: 2\/11, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 683375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.213. Let d = -0.01299969 + m. Round d to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 6*i + 9. Let v = -20 + 27. Is x(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 17 = 1. Suppose 5*h - y = h. Suppose 2*q = -2 + 12. Solve 5*u - 3*u = -q*c + 2, 0 = u + h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/32 and 75\/160565534?\nAnswer: 2569048544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -18*w - 12, j - w + 2 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 19*w + 17*w = -37, d - 2*w = -25 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 12*p**2 + 22*p + 6. Let s be r(3). Suppose -s*m - 195 = -51. Which is the third smallest value? (a) m (b) 0.6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose -60 = -5*k + 3*u, k - 4*u + 2 + 3 = 0. List the prime factors of -1*h*(8 - k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/49 in -0.3, -3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.2, 25, 5, 473 in decreasing order.\nAnswer: 473, 25, 5, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**9\/20160 + u**8\/4480 - u**6\/480 + u**5\/160 - u**4\/3 + 8*u**2. Let b(w) be the second derivative of j(w). Solve b(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 127220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 16\nAnswer: -43\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2565, -2582, -2601, -2616, -2621, -2610, -2577?\nAnswer: -2516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, -285.68?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.77, -8, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/39 - 170\/273. Let n be (-16)\/42*3\/(-2). What is the third biggest value in n, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 6*m**2 + 6*m - 2. Let y be s(5). Let w be -14 + 11 + (4 - -1). Solve -u + w = -y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -874 - -875.3588. What is w rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 - 5083 - 5052 + 16*w**3 - 262*w**2 + 10133.\nAnswer: 16*w**3 - 288*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*l + 645*l + 164*l = -46010 for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 870 divided by 439.\nAnswer: 870\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-13 + 27 - (-1 + 42))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - l**2 + l + 2. What is the lowest common multiple of 24\/2*(-1)\/(-3) and s(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-15)*(-343200)\/880.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*q - 44 = 0, -q - 24 = 14*j - 16*j. Solve -11 = -j*m - 67 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2*(-228)\/(-133)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(4\/7)*g*g)\/g)**(7\/4)\/((g\/(g*(g**(-3\/11)\/g*g)\/g))\/g*g\/(g\/g**28)*g) assuming g is positive.\nAnswer: g**(-1013\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*a - 6 = 3*a, -3*v + a - 6 = 0. Let h = 40 - 15. Calculate the remainder when h is divided by (0 - v*3) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 59\/4. Let o = 0 - -0.3. Sort d, -0.2, o.\nAnswer: d, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2282439 is divided by 860.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7\/2, -5, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55 - 18.3278?\nAnswer: -17.7778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1064 - -1384. Does 70 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00221 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3198223*z**3 + 13*z**2 - 3198275*z**3 + 31*z**2 in the form w + o*z**3 + x*z + c*z**2 and give o.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 24, -176936.\nAnswer: -176936, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**3 + 61*b**3 + 22*b**3 - 40*b**3 - 76*b**3 + 12*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4059.137 millimeters?\nAnswer: 0.004059137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97\/182 - -45\/182. Sort 1\/73, -0.1, -0.2, v in decreasing order.\nAnswer: 1\/73, -0.1, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -53, -85, -105, -107?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004307314 to five dps.\nAnswer: 0.00431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -33693 smaller than -33682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6522625750 to the nearest integer?\nAnswer: 1868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38604, 38602, 38596, 38586, 38572?\n\"Answer: -2*v**2 + 4*v + 38602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30 - 252.7563145\nAnswer: -222.7563145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8 = -188. Let s be 0 + 8\/1 - k\/(-12). Suppose 4*n - 10 - 4 = -3*u, -s*u - 5*n = -30. What is the least common multiple of u and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1386993000 rounded to the nearest one million?\nAnswer: 1387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (3 - -1)) + -3 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 + 251. Suppose 0 = 10*x + 17 + o. Which is the third biggest value? (a) x (b) 3\/10 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4ed07 + -863?\nAnswer: -5066a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21575.\nAnswer: 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 31. Let b = x + 19. Find the second derivative of 0*i + 3*i - i + 6*i**b wrt i.\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 3*m + 4. What is the remainder when 43 is divided by d(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 + 20562*m\/7 + 11180160\/7.\nAnswer: 2*(m + 576)*(m + 9705)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhzz when four letters picked without replacement from {h: 7, z: 11, x: 1}.\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 110*m + 3. Let c(r) = 2*r - 9. Let k(o) = -3*o + 27. Let p(n) = 3*c(n) + k(n). Give p(q(d)).\nAnswer: -6*d**2 + 330*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 1 - 2. Let j(q) = -q**2 + q + 1. Let z(y) = -75*y**3 + 1 - 46*y - 41*y + 91*y + 76*y**3. Let t(o) = m*z(o) + 2*j(o). What is t(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*s + 708 = 1763 + 1096 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 55 = 5*m + 2*i, 0 = 2*m - 5*i + 5. Calculate the greatest common factor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4416759.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + (sqrt(175) + (sqrt(175) - (sqrt(175)*2 + sqrt(175))) - sqrt(175)))**2 + -4 + -4)*-4.\nAnswer: 320*sqrt(7) + 5664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -138678742, -138678740, -138678738, -138678736, -138678734, -138678732?\n\"Answer: 2*i - 138678744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2 + 0 - 2\/11*g**5 - 48\/11*g - 8\/11*g**4 + 14\/11*g**3 = 0. Calculate g.\nAnswer: -4, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.436. Round w to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4155 divided by 5.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 3, v: 4, l: 5, h: 1, f: 4}. What is prob of picking 2 v, 1 f, and 1 h?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 37*d**2 - 1 + d + 2*d**2 - d + (3*d + d - 6*d)*(3 - d - 3).\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/(-23) + 12\/(-8)*(-24)\/(-18). Factor 0 - 2\/23*t**3 + l*t + 4\/23*t**2.\nAnswer: -2*t*(t - 3)*(t + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550*x**3 + 45*x**2 - 70*x = 0. Calculate x.\nAnswer: -2\/5, 0, 7\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71118 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784966?\nAnswer: 2, 17, 47, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3777, 30182, 101843, 241386, 471437, 814622, 1293567?\n\"Answer: 3771*w**3 + 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 142772535 divided by 5\nAnswer: 28554507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25\/6 in -4, 1\/4, -3, 89?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3235586 is divided by 808891.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 42. Let l = 13 - 4. Suppose -u + 7 = -l. Calculate the smallest common multiple of v and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 6 = -0*z + 2*z, 3 = -3*x + 3*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9241?\nAnswer: 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1 (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 714*i + 94*i + 207*i + 105560 for i.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137665128 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - z - 25, -5*z + 1145 = 4*p + 1186 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:44 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s - 3. Let a(z) = z - 1. Let b(w) = 5*a(w) - j(w). Let n be b(2). Solve -u - 3 = q, 6*q = n*q + 2*u - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**2 - 5457*o + 20636 with respect to o.\nAnswer: -6*o - 5457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*o**2\/7 - 136032*o - 7619968\/7 = 0. Calculate o.\nAnswer: -8, 476248\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042394 rounded to six dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1. Let z(f) = 2*f - 6. Let l be 5\/(5\/2) + -1. Let n be (-34)\/(-6) - (-2)\/6. What is l*z(w) + n*c(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -185 - -222. Calculate the greatest common divisor of y and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 4, p: 6}. Give prob of sequence hh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -26. Let u = f - 10. Do u and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*p - 1685 - 1808 = 395. Solve 25 = 5*a - 15*c + p*c, -2*a - c + 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + i - 2. Let c be f(1). Let h(d) be the second derivative of 1\/15*d**6 + d**2 + 2*d + 0 + c*d**5 + 0*d**3 - 1\/3*d**4. Find k such that h(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*t + 10, 0*l - 4*l = t - 13. Let y(r) = -21 + r + 23 - r - 2*r. Determine y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*y**3 + 45*y**3 + 16*y**3.\nAnswer: 122*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22596 = 1858*k + 25*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*t**2 - 152 - 99*t**2 - 73*t**2.\nAnswer: -33*t**2 - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.4 (c) 0.1 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -15 + (-27 + 7 - (86 + -113))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u - 3*u)*(3*u**2 + 2*u**2 - 4*u**2) + u**3 - 2*u**2 - 4*u**3 + 4*u**3.\nAnswer: -3*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 + 3*r**2 + 6. Let h = 81 - 74. Let c(k) = k**3 - 2*k**2 - 3. Give h*c(w) + 4*n(w).\nAnswer: -w**3 - 2*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*s - 950 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*h*i**3*n - 2*h*i**3 + h*i**2 + 156*h*i + 261*h*n**2 - 43*h + 649*i**3*n - i**3 + 30 with respect to n.\nAnswer: 38*h*i**3 + 522*h*n + 649*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9299\/2 + 371\/106. Suppose -4*m + 5*k + h = 0, 4*k = -4*m + 3957 + 651. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*i + 16, -3*i - 1 + 24 = -4*k. Let n be (-2 - -1) + (3 - k). Suppose -1 + n = -3*b, -4*s + 2*b = -46. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14560 (base 8) to base 10.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 21*h + 21. Calculate t(17).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97911460 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 239, 235, 223, 197, 151, 79?\n\"Answer: -p**3 + 2*p**2 - 3*p + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/8 - 0)\/((-396)\/(-144)). Let l = -287933 - -2588404\/9. Let v = -333 - l. Which is the third smallest value? (a) v (b) 3\/2 (c) p (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:53 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9660.270545 + -0.601455. Let f = r - -9630. Let m = 0.328 - f. What is m rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 54*x - 5 = -50*x, -5*j - 2*x + 11 = 0. Sort 5, -28, j, -2, 2 in ascending order.\nAnswer: -28, -2, 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 6*d - 2*d**2 + 3*d**2. Let k(y) = 2*y. Let h = 0 + 2. Suppose z - h*z = -3. Determine z*k(i) - 2*q(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246 is divided by 1037.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 10*o - 23. Let f be b(2). Solve -f*m - n = -5, -m - 2 + 3 = -n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15146? (a) -0.1 (b) 2 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - -2. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*u + 85*u + 4*u - u**3 to the form w + b*u**2 + r*u**3 + m*u and give m.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370*f**2 + 350*f.\nAnswer: -740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)\/t)**(-27\/2)\/((t**(-1)*t)\/t*t\/((t*t**(3\/5)*t)\/t*t)))**(13\/4) assuming t is positive.\nAnswer: t**(3263\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13578994.\nAnswer: 2, 11, 13, 79, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07092477 rounded to 3 dps?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87846?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1634296305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-20) - (-18530)\/50. Suppose -l*q = -377*q + 42. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110840*a**4 + 3*a**3 - 97426 wrt a?\nAnswer: 443360*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 97080.\nAnswer: 97075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*n - 324 - 2705, 3*n + 3031 = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -27 + 16*x + 3*x**2 + 10*x - 50*x = 0?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**5 - 11365*i**4 + 68075*i**3 - 147415*i**2 + 136040*i - 45340 = 0?\nAnswer: 1, 2, 2267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 24. Let i = -6 + m. Let z = -7 + i. Which is smaller: z or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 32*y**3 + 113*y**4 - 83*y**4 + 6 + 6*y - 36*y**2 + 28*y**5 = 0. Calculate y.\nAnswer: -1, -1\/2, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b**3 - 17*b**2. Suppose 3*n - 63 = 6*n. Let f = 36 + n. Let c = f - 21. Let r(x) = 5*x**3 - 6*x**2. Give c*j(m) + 17*r(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5147659.68 rounded to the nearest one thousand?\nAnswer: -5148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*r = 15, 8*r - 15 = 3*r. Let z(b) = b**2 + 8*b + 10. Let f be z(u). Suppose 51000 = -4*k + f*k. What is k rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 59528*w - 221473924.\nAnswer: -4*(w - 7441)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*b = 3*c - 28, -4*c = -5*b - 37. Solve q = c*v - q + 6, 5*q - 1 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/24*(-1 - (-60)\/65)*3. Which is the nearest to j? (a) 0 (b) 4 (c) 0.1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-384)*-16*10\/(-2)*3\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -5, -25, 157, 12, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/4 - 5*t**2 - 33*t. Let n(g) = g**2 + 2. Let d(s) = 2*b(s) + 10*n(s). Let p(j) = 30*j**2. Calculate p(d(w)).\nAnswer: 480*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t + 593 = 2429. Solve -5*d + 59 - t = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*d - 37, t + 5*d + 38 = -6. Calculate the remainder when t\/2*-1*6 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213321.9 meters to centimeters.\nAnswer: 21332190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + j. Suppose 318*l - 81 = 327*l. Let z(q) = 7*q**3 - 5*q. Calculate l*u(y) - 2*z(y).\nAnswer: 4*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/15 - 518*o\/15 + 300 = 0. Calculate o.\nAnswer: 9, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 208160177 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 131754.\nAnswer: 158104.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*h + 23*h + 28 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 1143 (c) -1.5 (d) 0 (e) 2.4 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98837648905198 + -4.\nAnswer: -98837648905202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -557*z**2 + 5*z - 4. Let v be q(1). Let u = 1024 + v. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14895266503.345569 - -14446403718.34556936. Let t = -448862772 - f. Let p = 13 - t. What is p rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334185355 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 42561*a + 340438. Determine d(-8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 30*n - 1437. Let b be t(48). Let x(l) be the first derivative of -29 + 0*l + 1\/8*l**b + 3\/32*l**4 - 3\/8*l**2. Suppose x(a) = 0. What is a?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2069*v**2 - 2*v + 47. Is h(4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*(534 - 5))\/(-1). Suppose -z + 171 = 4*y, 4*y - f = -4*z + z. List the prime factors of z.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 5. Let a(k) = 2*k + 6. Let z(x) = -2*a(x) - 3*m(x). Let o(u) = 1. What is -5*o(l) + z(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344 - -354. Let b = 8 - 2. Calculate the least common multiple of b and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -9*z + 1\/3*z**3 + 1 + z**2. What is the tens digit of x(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 24 = 0, -465*v + 467*v = -2*x - 32. Sort v, -3, 21, 5\/3 in ascending order.\nAnswer: v, -3, 5\/3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n - 287*n**2 + 46*n - 1021*n**2.\nAnswer: -1308*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:26 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-6)*3\/(-2). Suppose -3*b = 1 + x. Let u be 0\/(0 + b + 3). Solve -5*i + 5 - 10 = u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuuufuwtckcufutu. Give prob of picking 2 k and 1 t.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7736*d**2 + 7736*d**2 + 9694 + 3*d**3.\nAnswer: 3*d**3 + 9694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 19*d + 2. Let x be p(-4). Let i = x + 445\/6. Which is the nearest to 0? (a) -3\/7 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-85)\/51)\/(1\/54). Let a be b\/18 - (-8 + -2). Put -3, a, 2, 1\/6 in increasing order.\nAnswer: -3, 1\/6, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 3b5a75?\nAnswer: 3b5a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Let j = 11.9 + -12. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 82.9. What is the nearest to a in 1\/6, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1341.281 years?\nAnswer: 1.341281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 578008 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 107 + -104?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Let p(r) = -1196*r**2. Determine p(w(m)).\nAnswer: -1196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = -8. Suppose -2*q + 2*f + d = 0, -2*f - 7 = -3*q - 0. Let s = 13\/8 - 43\/24. Sort q, s, 3\/5 in descending order.\nAnswer: q, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200609 divided by -104.\nAnswer: 200609\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u + 178 + 22 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*s + 23 = 3*s, 19 = -2*u + s. Let b be 6\/u*1\/2. Suppose 0 = -r + d - 9, 51 = -4*r + 3*d - 2*d. What is the third biggest value in r, -2, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 266 + 11 = 5*k, 0 = -5*n + 3*k + 1301. What is the tens digit of (396\/110)\/(-2 + n\/130)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137069373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 710 = -4*d. Let i = d - 61. What are the prime factors of i?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3\/6 + c**2 - 306*c. Let t(s) = -3*s**2 + 6*s + 3. Let v be t(-5). Let m be v\/(-15) + (-1)\/(-5). Give d(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051521738?\nAnswer: 2, 3, 599, 292577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 200 + -206. Put 3\/5, 3\/4, j, -1\/19 in decreasing order.\nAnswer: 3\/4, 3\/5, -1\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 - 420. Let g = 88 - w. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2. Let d(i) = -3*i - 1. Give z(d(m)).\nAnswer: -9*m**2 - 6*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1007 by -235643.\nAnswer: 1007\/235643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 124.4.\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32060509.\nAnswer: 13, 1433, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r - 19 = 3*q, -4*r = 4. Let n = 0 + -2. Sort -3, q, -0.1, n.\nAnswer: q, -3, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o - o**2 - 55*o + 22*o + 14*o + 890.\nAnswer: -o**2 + 890","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 22. Let k be b(5). Suppose -3*x - 8 = -k*x. Suppose 4*f = -2*r + 400, -r - 309 = -3*f + x*r. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -646 - -66?\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 4*i**2 - 2*i - 4. Let d be m(-4). Let g(y) = y**3 - 3*y**2 - y - 2. What is the remainder when 18 is divided by g(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*y - 26 = 0, -2*v - 4*y = -0*y - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + i**3 + 2*i - i - 3 - 2*i. Let k be 2 + (-9)\/(-3) + -2. Let v be q(k). Solve -5 = x - 3*m, v*m = -2*x - 2 + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19179?\nAnswer: 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 1. Let p be y(1). Let i(k) = 5*k - 19. Calculate i(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85.12 - -82.12. Suppose 4*m + j + 12 = 6*m, 4*m - 3*j - 20 = 0. Let v be m\/20 - 8\/70. Which is the biggest value? (a) 2\/3 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**6 assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*f - 2*n - 3, 9 = -4*f - 3*n. Let r = -480 + 16799\/35. Let m = r - 31\/140. Is m less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/331 and 39\/1418788.\nAnswer: 469618828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/24619 or 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 670 and 10722814.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 h when three letters picked without replacement from {h: 1, r: 2, b: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - m + m + 4*m - 4*m + (-2 + 5 - 4)*(2*m - 4 + 4))*(m**2 + 5*m**2 - 2*m**2).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, e: 2, k: 3, u: 3, d: 1, v: 4}. What is prob of sequence avuk?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arrarararraaarrrraaa. What is prob of sequence aar?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.021 in -5\/9, 2\/9, 4\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47\/77 - 7503\/308. Suppose -1 = -2*o + 3. Calculate the common denominator of i and (24\/200)\/(o\/85).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138.4 - -151. Let t = -12.6000097 + i. Round t to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**3 - l**3 + l**3)*(-125*l + 7385 - 70*l - 7387) as n*l + u*l**4 + r*l**3 + w*l**2 + t and give u.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 3\/8, 56\/11 in ascending order.\nAnswer: 0.22, 3\/8, 56\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3547.4 + -3\nAnswer: 3544.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 245.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*x = 150*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 14. Suppose 4*l - o - 6 = 0. Suppose 1 - 6 = -l*u. Solve v = -s + 1 + u, 4*s - 5 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -55077.2 to the nearest 10.\nAnswer: -55080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5175\/161 - (-330)\/(-154)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -58. Let u = 11 - -209. Calculate the greatest common factor of u and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -4 + -2 - (3 - -12) - -14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85758352.839 - -135196.161. Let d = -85893197.000426 + l. Let z = -352 + d. Round z to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*p + 8 - 30, 19 = 2*d + 5*p. Let i be d + 15 + 4 - (1 - -3). Suppose -5*q + 3*z - 20 = 0, 2*q = 3*q + z + i. Which is smaller: q or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34257?\nAnswer: 3, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2697 = -4*t, 0 = 2*t + 3*q + q - 1332. Let y = t - 408. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*z = -1, -3*z = -5*m + 23. Let n be -2 - ((-6)\/3 + m). Calculate the remainder when (-401)\/(-13) - n\/26 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2839 and 8045392?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99514127*n*p**2 - 352698*n*p - 10*n - p - 2 wrt p?\nAnswer: 199028254*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15731031 and 4551.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22097, -22101, -22105, -22109, -22113?\nAnswer: -22117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 89. Suppose 3*o = -o + 5*x + 13, 5*o = 5*x + b. What is the lowest common multiple of 48 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10584 and 4424.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/7)*q*q)**(-4\/33) assuming q is positive.\nAnswer: q**(-68\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 40. Let t be v(17). What is the greatest common factor of 81 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201010 + 2?\nAnswer: -1201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 584 - 584. Solve -3*a - 12 + 0 = g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53163?\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 4*d**2 - 4*d + 5. Let f be r(3). Suppose 2*s - 7*s = 3*p - 58, -4*s = -4*p + f. Suppose p*j - 6*j = -140. Is j < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*(-1)\/(-4)*1. Let p be -2*1*z\/(-8). Put 5, p, 18 in decreasing order.\nAnswer: 18, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -892, -6975, -23480, -55615, -108588, -187607, -297880?\n\"Answer: -868*n**3 - 3*n**2 + 2*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -798, 2419, 7780, 15285?\nAnswer: 24934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -51.967. Let z = 0.006 - g. What is z rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 1)*(0*r + 0*r + 2*r) + 6*r - 10*r + 6*r + 42)*(2*r - 2*r - 3*r).\nAnswer: -12*r**2 - 126*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 2*r + 44, -33976*b + 3*r + 36 = -33974*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 4) + -4 + (-1 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 8*w - 5. Let u be n(-9). Let t(x) = 7 - 5*x**2 - 4*x - 3 - x**3 - u. Give t(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0967958 to 2 decimal places.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*(-1 - 7). What is the tens digit of 82\/8 + (-3)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -33 - 27\/8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 9*n**2 + 2*n - 16. Let p be m(9). Let i(w) = w + 166 - 168 + w**p - 5*w. What is i(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:36 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p + 18*p + 4*p)*(-2*p**3 + 4 + 6*p**4 - 2 - 11*p**4).\nAnswer: -150*p**5 - 60*p**4 + 60*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -23 - -17) + 2 + -21.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 354 - 124 + 2*a - 37 - 3*a as i*a**2 + c + m*a and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 16. Give p(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 791 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-936)\/(-624))\/(1*1\/(-12))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15820)\/1050)\/113 - (21\/6)\/(45\/(-66)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 + 6790*s**4 - 13576*s**3 - 2*s**2 + 13577*s - 6788.\nAnswer: -(s - 6788)*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -63072 (base 8) in base 16?\nAnswer: -663a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 84, -10, 133, -5.\nAnswer: -10, -5, 2, 84, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38499641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 2 + 0 - 1)*(-2 + 2*y + 2) to h*y**2 + n + z*y and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18009 + -18008. Find a, given that 1\/6*a**3 - b + 1\/6*a + 2\/3*a**2 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/(-6) - (4 + 54\/(-12)). Let n(j) = 3*j - 8. Let k(g) = -g - 1. Let x be 10\/3 + 8\/12. Let i(l) = x*k(l) + n(l). Determine i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 10*h**2 - h + 7. Let q be t(5). Solve -3*k - 12 = 3*b, 0 = q*k + 5*b - 1 + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u. Find the first derivative of -4*c + 4 + u + 3*c + 2 wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40850?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + 2*u)*(4 - 3*u - 4) - 5 - 4*u**2 + 5.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - -4 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(931) - sqrt(931) - sqrt(38)\/(sqrt(2)*-2))**2 + 1 - -1*(((-3*sqrt(1539) - sqrt(1539))*5)**2 + sqrt(1539))*-1.\nAnswer: -2430473\/4 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 730 and 1960?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let j = 53 + -48.4. Let a = j - 0.6. Put -0.1, y, a in decreasing order.\nAnswer: a, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2\/3 - (-4)\/((-12)\/(-481))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3. Let y(a) be the first derivative of 9*a**4\/4 + 5. Give 21*h(q) - 4*y(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 9776*v + 157440.\nAnswer: -4*(v - 16)*(v + 2460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82888)\/446320)\/((-26)\/6).\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 8:58 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 299.7094.\nAnswer: 299.5094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:16 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -668.4+-2179109\nAnswer: -2179777.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-124)\/16 + 8 + 15\/4. Suppose -1006 = -d*g + 790. What are the prime factors of g?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845229 is divided by 422546.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - d)*(1 - 4 - 5) - 4*d + 4 - 4.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*i = -70 - 4, 4*b + 4*i = 92. Suppose t - 16 = -4. Suppose -x + b = -t. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 = 19. Let r(u) = u**3 + 4*u**2 - 2*u + 1. Let d be r(k). Let t = d - 6. Solve -a - 12 = -3*a - t*m, 0 = -a + m - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4 - 255*h**3 + 4434*h**2 + 9912*h = 0. What is h?\nAnswer: -2, 0, 28, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154\/23 or 2\/777?\nAnswer: 154\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/3)\/(4\/(-12)). Let g be 2\/(o\/6 + 2). Suppose p + 3 = g. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15329, -15717, -16377, -17321, -18561, -20109, -21977?\nAnswer: -24177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605 divided by -728.\nAnswer: -605\/728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-421)\/(-1684) + (-41241)\/(-6)*(-26)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2826*d + 2820*d = 19, 23 = 4*f + 3*d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 18 = 3. Suppose -h*o + 36 = 12. Calculate the remainder when o is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 469 and -4.\nAnswer: -1876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 75*v. Let c(u) = u - 1. Calculate c(w) - h(w).\nAnswer: -74*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 84*w + 1720. Let g be f(17). Solve 5*d - g = 10*q - 9*q, 12 = -d - 4*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**4 - j**4 + 3*j**4 + (9*j - 26*j + 2*j)*(2*j**3 + 5*j**3 - 3*j**3))*(2 - 3 + 4)*(-4 + 4 + 1).\nAnswer: -189*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(19\/38). Let k = 12 - 8. What is the closest to 0.1 in k, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-516)\/3*31\/(-41). Let d be ((-25)\/15)\/((-3)\/(-234)). Let s = j + d. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 3*q**2 + 2*q**2 - 5*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**43*p\/p**(1\/6)*(p**(-12)*p)**(8\/9))**(-9\/2) assuming p is positive.\nAnswer: p**(-649\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25*0.5\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {m: 2, a: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 510, 821, 1132, 1443, 1754, 2065?\n\"Answer: 311*g + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -38950.7 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 11*q**2 - 42*q. Let z be j(14). Let u(n) = n**3 + n**2 - n + 2. What is u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6106\/1645567*(-1 + 12).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) -1.36 (d) 53 (e) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w = -76*w + 28690. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 34. Let z = 11 + 0. Let k = z - d. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 times -263890\nAnswer: 22958430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 170\/58 - 2\/(-29). Solve 13 = -o*p - 2*k, p + 4*k = -7 - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/118, -10, -68\/3, 0.4 in descending order.\nAnswer: 0.4, -3\/118, -10, -68\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(4\/19)\/y)\/y)*y)\/(y\/y**(3\/28)*y) assuming y is positive.\nAnswer: y**(1009\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - w + 10 = w, 0 = 3*o + 2*w - 10. Suppose -3*u - 9 + 51 = o. Calculate the greatest common divisor of 224 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + r - 6)*(0 + 3*r + 5 - 1)*(-4 + 4 + 2).\nAnswer: 6*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 10. Let p = 3 + g. Which is the biggest value? (a) p (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-d + 2 - 2) + (-1 + 4 - 4)*(2*d + 1 - 1) - d + 3*d - d + (-3 + 3 - 3)*(5*d + 2*d - 5*d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3032 - 2966. Calculate the greatest common factor of 12 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + y + 0 = -1, 0 = 4*g - 4*y. Let k = -15602\/735 - -433\/21. Let u = k + 2\/245. Which is the nearest to g? (a) 2 (b) u (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 105.9757 millilitres?\nAnswer: 0.1059757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.257 - 6.2595387. What is a rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. Let m = -0.5 - -0.7. What is the nearest to d in m, 0.1, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-350)\/(-32) + 17\/272 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and -23.\nAnswer: 3.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248238403?\nAnswer: 7, 17, 2086037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w + 136 = -36*w. What is the remainder when w is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52096\/9 + -5781. Find the common denominator of -71\/3 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3565584976777\/2113491801776 + 2902\/19107947. Let p = -2\/6913 - n. What is the common denominator of -13\/18 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 140, 102, 38, -52?\n\"Answer: -13*g**2 + g + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 15 + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 339, 1118, 2635, 5136, 8867, 14074?\nAnswer: 21003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 12*t + 21. Determine u(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1574a6 (base 16) to base 10.\nAnswer: -1406118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 + 13*n - 13. Let v be b(1). Let x be (395\/2 - v)*-40. What is x rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from {j: 1, q: 1, k: 1, w: 1, c: 2, a: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 3:15 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122 + 56. What is the least common multiple of 2 and (-1 - o\/6) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 8 - (4 - 2). Let i be (-481)\/(-39) + 1\/o. Let r = i + 32. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/18 and -11\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 166672528*j - 1736233224369424.\nAnswer: -4*(j + 20834066)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51184228 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**3 + 1 - 1 + (-3*y + 2*y + 2*y)*(-4*y**2 + 2*y**2 + 4*y**2) + 2*y**3 - 4*y**3 + 3*y**3 to p*y**2 + g*y + r*y**3 + s and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*(-8)\/(-21). Let h be (0 - 4\/(-10))*20\/16. Let j = -28 - -30. Which is the closest to 0? (a) j (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + (6*(sqrt(1300) + 2) + 0 - (5 + 4 + -1 + sqrt(1300)))**2.\nAnswer: 400*sqrt(13) + 32512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 65 = -1. Suppose -3*d - w = -3*v - v, -6 = 2*v + 2*d. Let j(s) = 19*s**2 - 2*s + 1. Is j(v) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3 - 9 = o, -5*g = -10. Let k be 6 + 4 + o\/(-2). Solve 0 = -3*d + 3*t - k, 1 = -4*d + t + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/24584 and 41\/98.\nAnswer: 172088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120.45 + -68.67. Is f less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/21 + 4\/(-7) + 4. Let y(q) be the second derivative of 0 - 1\/6*q**x - q**2 - 3*q. Determine y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92.2 - 4.8. Let g = t - -97.067. Let o = -0.077 + g. Put -0.5, o, 2 in decreasing order.\nAnswer: 2, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6071 = -278*a + 11490 + 16467 - 9564 for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a (base 11) in base 15?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7491177234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1175394 + -18.7\nAnswer: -18.5824606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 15*i - 33. Give x(16).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4\/295 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = -7. Suppose -106 = -3*u + y, -u + 33 = -0*u + z*y. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 74362770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13228 - 4419. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2594 or 33726\/13?\nAnswer: 2594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 5 = -9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 180 = 4*h, 2*h - 4*h = 12. Calculate the least common multiple of y and 69.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5 + 2\/5*h**2 + 12\/5*h.\nAnswer: 2*(h + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000364506708 rounded to seven dps?\nAnswer: -0.0000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 4. Let m(w) = w**2 + 18*w + 77. Let d be m(-10). Let y(j) be the first derivative of 9*j**2\/2 + 11*j + 3. Give d*y(c) + 8*l(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - 3*l**3 + 4*l**3 + (-1 + l + 1)*(-5*l**2 - 2 + 2) + 3*l**3 - 2*l**3 - 3*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15104511 (base 6) to base 4\nAnswer: -1333130323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-159)\/(-2)*(-67)\/6633*66.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175322990.\nAnswer: 2, 5, 1493, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 5*d**6\/3 - 19*d**2 + 14. Find the second derivative of s(t) wrt t.\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (320\/6)\/(5 - (-28093976)\/(-5618796)). Suppose 3*r = -5*r + y. Suppose r + 3535340 = -i. Round i to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) + 90\/(-420). What is the second biggest value in 0.03, 4, w?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00105159 to five decimal places.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37007 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(9\/42).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 10. Let j be u(1). Suppose m + 6 = -0*m - 3*a, 4*m = j*a + 51. Sort 1, -5, 3, m in decreasing order.\nAnswer: m, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43, -126, -511, -1220, -2361?\n\"Answer: -18*x**3 - 43*x + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119723 - -152.\nAnswer: -119571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zncz when four letters picked without replacement from cncxznzaczcczcxdnxzd.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 19*i**4\/12 - i**3\/6 - 3*i**2\/2 - 3*i. Let d be o(3). Calculate the highest common divisor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 203.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 176, 263, 350?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let a(f) = -177*f**2. Determine a(i(h)).\nAnswer: -177*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1\/4 (c) -98 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 1. Suppose -613 - 1588 = -31*c. Let o(w) = w + c - 22 - w**3 + 3*w**2 - 53. Let a(f) = f + 1. Let m be a(-5). Give m*l(q) + o(q).\nAnswer: -q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22229.4 + 22229.3199995. Let x = -0.14 + 0.06. Let q = x - t. What is q rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:23 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 at most as big as 48103\/244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5751*h**3 - 3*h**2 + 645483 wrt h.\nAnswer: -17253*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*n - 0 - 13, r = 5*n + 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2 - 37*a + 232 = 0?\nAnswer: 8, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2517550 (base 8) to base 11\nAnswer: 436050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -30569225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 206*n + 3641. Let g be z(14). What is the greatest common divisor of 174 and g?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Let t be (-2)\/(-12) + j\/6. Let z = -283\/3 + 94. Which is the nearest to t? (a) -2 (b) z (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 17*n**2 + 14*n - 9. Let p be x(-18). Is (-9)\/p - (-44)\/14 - -4508 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 2*m - 4*m)*(-22*m**3 + 2*m - 1 + 19*m**3 + m).\nAnswer: 3*m**4 - 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*sqrt(704)*-2 + -1*(sqrt(704)*-1 + sqrt(704))*4 + 4)**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 5338*t - 8. Let r(v) = -576*v**2. Determine w(r(c)).\nAnswer: 331776*c**4 + 3074688*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 6239 = 7291. Calculate the highest common divisor of q and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/2 and -63\/10796.\nAnswer: 10796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u = -65*u + 1064 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 84 - 6*n + 1287*n**3 - 1305*n**3 + 27. Let u(v) = v**4 + 17*v**3 + 8*v - 112. Let z(x) = 3*u(x) + 4*w(x). Find the first derivative of z(p) wrt p.\nAnswer: 12*p**3 - 63*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -435 (base 6) to base 3.\nAnswer: -20012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -39. Suppose -3*g + 6*g = u. Suppose -60 - 40 = -g*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -987 - 35094105790\nAnswer: -35094106777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z + 49*z = -155*z. Suppose -2*h + 3*a - 2 - 13 = 0, -15 = 3*h - 3*a. Let f be 2 + -2 + h + -1. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f**2 - 9. Let u(v) = -3*v**2 - 2. Suppose 2*b + 5*y + 19 = 0, 2*y + 22 = -5*b - 2*y. Determine b*l(q) + 9*u(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 36*u**2 - 17*u + 747. Let f be y(-16). What is the second biggest value in -2, 3, f, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, y: 3, v: 4, m: 1}. What is prob of picking 1 m and 3 v?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 10\/14 - 243562701\/(-1043) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.45463 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*t = -173*t + 9. Solve 6*a + 3 = t*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 6180. Suppose 7*a - 292 = w. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17695 by 5.\nAnswer: 3539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1216) + 0)**2 + sqrt(1216) - sqrt(1216) - -5*3*sqrt(1216).\nAnswer: 120*sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20 - -1)\/(1\/1). Suppose x - 4*x + s = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by (((-3)\/9)\/(-1))\/((-2)\/(-132)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3047886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(13\/4)*d**(-33)*d*d\/((d\/d**0)\/d*d)*d*d**(-16)*d)**(3\/19) assuming d is positive.\nAnswer: d**(-579\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28743.71 nanograms to milligrams.\nAnswer: 0.02874371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 556910485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9982656.\nAnswer: 2, 3, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000323461423 to 7 dps.\nAnswer: -0.0003235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*k**2*m**2 - 190*k*m**2 - 3*m**2 - 2*m - 16 with respect to k.\nAnswer: 26*k*m**2 - 190*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 20222310 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -309881 divided by -11?\nAnswer: 28171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 989838459 to the power of 1\/2, to the nearest integer?\nAnswer: 31462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 211*m - 207*m - 276. What is the remainder when m is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -172, -3, 10 in descending order.\nAnswer: 10, 4, 1, -3, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.212 (b) -1 (c) 695\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f = -28*f - 290 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30751 - 61467 + 26*x + 30782.\nAnswer: 26*x + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7 + 1. Suppose 0 = -z*n + 13 - 4. Find the third derivative of -3*p**3 + p**n + p**2 + p**2 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1341 divided by -9\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 0.2, -18, 4.5, -2\/25, -5, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(2160) - (sqrt(2160) + (2*sqrt(2160) - sqrt(2160)))))\/sqrt(5) - (-2 + sqrt(48) + 0).\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6523211.83 to the nearest 100000.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 39*b**2 + 1. Let j be c(-1). Let v = 69 - j. Calculate the greatest common factor of 261 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 3*m**2 + 5*m**2 + 9*m**2 to c + k*m + u*m**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5\/7 + 3*h**4\/7 - 150*h**3\/7 + 144*h**2\/7 = 0. What is h?\nAnswer: -8, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/10)\/((-2)\/5). Suppose 15 = -f + u*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*r + 6, -3*z + 4*z + 3*r - 8 = 0. What is the remainder when ((-7)\/z)\/(2\/(-4)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 0.92. Let r = l + -12. Let s = 0.73 + r. What is s rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 5 (c) -20\/183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*k = 7 + 18 + 44 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7643773 - 0.44437743. Let a = r + -0.32. What is a rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*d + 352*d - 1010*d + 330*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -78343644?\nAnswer: -78343654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 2*n**2 - n + 1. Let u(g) = 23*g**3 - 15*g**2 - 84*g - 6. Let k(a) = -6*t(a) - u(a). What is the second derivative of k(x) wrt x?\nAnswer: -102*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5875 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 38.\nAnswer: -16, -2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - 6.03. Let j = 5.8 + z. Which is the closest to -1\/3? (a) j (b) 5\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(144))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*k - 258 = 0, -374554 + 373830 = 8*b - k for b.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6055 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, 2561, 9637, 23413, 46121, 79993, 127261?\nAnswer: 190157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19512 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 46557 + 46353 - 92910.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1436 + -1445. Which is the second biggest value? (a) 0.04 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znitndz. Give prob of sequence tti.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 280244, 280295, 280346, 280397, 280448?\n\"Answer: 51*c + 280193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*z + 5*x, -z + 2*x + 7 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1.191, 1, 10, -0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*-0.0028107.\nAnswer: -0.0477819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37803.38 tonnes to micrograms.\nAnswer: 37803380000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194490227?\nAnswer: 194490227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -52 + (-5 - -6 - 36).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41677104.\nAnswer: 2, 3, 7, 23, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:32 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2. Let s(h) be the first derivative of -h**3\/3 - 7*h**2\/2 - 5*h - 35. Let z be s(-5). Let r(g) = -3*g**2 + 4*g + 2. Calculate z*n(f) - r(f).\nAnswer: -2*f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 329177*m\/2 + 12508365\/4.\nAnswer: (m + 19)*(m + 658335)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/10)\/(6\/(-45)). Suppose -406 = -5*n + j, -158 = -2*n - p*j + 2*j. What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -3*j - 5*n, -2*j + 3*n = -5 - 183. Is 4 a factor of (j\/15)\/(2\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 6) to base 11\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10202 - 9789. What is the greatest common factor of x and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*v - 3*l, 0 = 2*v - l + 3 - 12. Let p(w) = w**3 + 9*w**2 + 4*w. Let y be p(-8). Solve v = 7*h + h - y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + (sqrt(27) + sqrt(27) + (sqrt(243) + (sqrt(243) - -4*sqrt(243) - sqrt(243)))\/sqrt(9))**2.\nAnswer: 3*sqrt(3) + 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0*b\/(b**(-2\/21)*b))\/((b\/(b**(7\/2)\/b*b))\/(b\/(b\/(b\/b**(-1\/6))))) assuming b is positive.\nAnswer: b**(100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4815629 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 3*i**4\/2 - 2*i**3\/3 - 5*i**2\/2 - 4*i - 38. What is the units digit of g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*b + 3*b + 2914. Let l = b + -87. Solve -w - 2*g - l = 0, 9 - 1 = -4*w + 2*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-6 - 7) - 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 11*n**2 - 28*n + 28. Let o be 12 - ((-6 - (2 + -2)) + 5). Let q be l(o). Solve -12*t + 10*t + q = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 559 and 258.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - (-5 + 3) - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 5*o - 17 = 0, -2*w - 3*o = 5. Suppose 0 = m - 4 + w. Suppose -m*d + 93 = -9. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190058 + 91298 = 4283*a - 121557 + 85971 for a.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624874.\nAnswer: 2, 97, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20*k**2 + 6*k + 2. Let v be h(-2). Calculate the least common multiple of (8\/(-6))\/((-19)\/285) and ((-84)\/v)\/((-6)\/20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60612 or 60611?\nAnswer: 60612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 4*o**2 + o + 4. Let g(x) = -6 - 3*x - 2 + 11*x**2 - 3 + 6*x**3. Let u(n) = 2*n + 4. Let k be u(0). Give k*g(t) + 11*w(t).\nAnswer: 2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 + -91. Let g = l + 177. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/270 and -85\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 6:59 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1063? (a) -2 (b) 2 (c) -2\/11 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 37 + 11 = 4*r, -r = -3*p + 2. Let k(o) = -o**2 - 2*o + 3. Let j be k(-5). What is the units digit of (-654)\/r - 3\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 + 47*p**2 + 0*p**2 - 54*p**2 - 85*p**2.\nAnswer: -110*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -31, -3\/5, 0, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 25. Let q(i) = -i**3 - 15*i**2 + 15*i - 18. Let j be q(-16). Put 20, m, j, -3 in descending order.\nAnswer: 20, j, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 141\/82? (a) -3 (b) 1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -1\/6*w**4 + 0*w**3 + 0*w**2 - 1\/42*w**7 - w + 0*w**6 + 0 + 0*w**5. Find the third derivative of v(h) wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3136347 is divided by 101168?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**5 - 145*j**4 - 1120*j**3 - 980*j**2 = 0 for j.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1040.46167 to one dp.\nAnswer: 1040.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-3) + 127 + 2. Find the common denominator of (4\/(-14))\/((-2)\/13) and 0\/3 - b\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665228870.\nAnswer: 2, 5, 17, 383, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28014 and 19314?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 16448*m - 32893. What is i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29198 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/44)*q**(-1\/30)\/q assuming q is positive.\nAnswer: q**(-667\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 8*h - 34. Suppose 8*z = -2*w + 3*z + 2176, 5*w + h*z - 5474 = 0. What are the prime factors of w?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 155403?\nAnswer: 155411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/4*38\/(-3). Suppose -5*l + m = -8. Let z = 54 + -27. Calculate the remainder when l is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -77, -166, -281, -416, -565, -722, -881?\n\"Answer: j**3 - 22*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2779900 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24664 is divided by 4924?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:18 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2046*m**3 - 2055*m**2 wrt m?\nAnswer: -12276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m + 49. Suppose -2*w - m = -3*x + 3*w, 0 = -w - 5. What is the smallest common multiple of x and 4\/14 - (-122)\/14?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000005809 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 883119665 to the nearest integer?\nAnswer: 29717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + j**2 - j - 1. Let a(k) = -48*k**3 - 11*k**2 - 6*k - 4. Let u(d) = -a(d) + 6*c(d). Find the third derivative of u(y) wrt y.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 6*f**3 + 4*f**3 + (f + f**2 - f)*(3*f - f + 3*f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103 and 0.3.\nAnswer: -30.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 21*o**4 + 4*o**2 - 15. Let p(h) = -41*h**4 - 9*h**2 + 29. Let u(r) = -9*b(r) - 4*p(r). Differentiate u(s) with respect to s.\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*v = -3*v, -2*a - 2*a - 27 = 3*a - 4*a - 17*v for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580843308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2133 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:09 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -23 - 28. Let y(z) be the second derivative of 0 - 7*z - 1\/15*z**6 + 0*z**3 - b*z**4 + 27*z**2 + 4\/5*z**5. Factor y(k).\nAnswer: -2*(k - 3)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611729072 to the power of 1\/3, to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3399 (base 10) in base 4?\nAnswer: 311013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 210, 356, 660, 1182, 1982, 3120?\nAnswer: 4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*y + 37 = 0, -4*t + 8*y = 3*y - 35. Suppose 0*b = 5*b - 5*u - 160, 119 = 4*b + t*u. Calculate the highest common divisor of b and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11283940 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 34*n - 109. What is m(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 969, 3914, 8799, 15618, 24365, 35034, 47619?\nAnswer: 62114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147718943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-4 + 4 - j) + (-2717*j - 1738*j - 2197*j + 857*j)*(1 - 1 + 2) to l*j + a and give l.\nAnswer: -11592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -15*z - 5720. Let m = 4175 - z. Let d = 1982 - m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + 0 + 0 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 47 - 99 - 4*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 15. Let q = s - 16. Let y be ((-2)\/q)\/(28\/(-21)). Which is the second smallest value? (a) -0.4 (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h**2 + 28*h + 5. Give z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1956*j - 1959*j + 2190 - 2735 - 6234.\nAnswer: -3*j - 6779","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*f - 95 = 0, 1188*f = -5*l + 1187*f + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4 + 468*t**3 + 18312*t**2 + 33388*t - 52170 = 0. Calculate t.\nAnswer: -185, -47, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 174161960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 957*s + 2960*s - 1013*s - 1008*s.\nAnswer: -18*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 10*y**2 + 33*y + 53. Let j be r(-6). Let v(l) = -l**2 - 4*l - 1. Let f(c) = -c**2 - c + 1. What is j*f(q) - v(q)?\nAnswer: 2*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**5 + 7*j**3 - 2*j - 3. Let d(h) = -4*h**5 + 6*h**3 - 2*h - 2. Let b(m) = -6*d(m) + 4*x(m). Factor b(g).\nAnswer: 4*g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45968447 equal to 45968449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 1250*j - 1259*j. Let p = -5 - -4.9. What is the nearest to p in 2, -4\/5, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 1, x: 1, o: 2, v: 2, d: 2}. Give prob of picking 1 y and 1 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -47649 (base 16) to base 13\nAnswer: -a3143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 7, -0.065 in descending order.\nAnswer: 7, -0.065, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w**2 + 0*w + 2 - 2*w**2 + 2*w - 10*w**2. Let y be s(-1). Let n = y + 30. Let l(f) = f**2 - 8*f + 1. Give l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmggrgmmgr. Give prob of sequence rr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1128, 2077, 3028, 3981, 4936, 5893?\n\"Answer: x**2 + 946*x + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2033 = 45*g - 30563. Are g and 632 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*1*sqrt(171) - sqrt(171))\/sqrt(9) + -1)**2*-4.\nAnswer: 128*sqrt(19) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -30203?\nAnswer: -30144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-63)\/66) - 3. Let d = 27 - 45. Let o = d - -15. What is the second biggest value in o, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 7:14 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 69874380?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q*q\/q**(-1\/2))))**(-1\/9)\/(q*q\/((q*q**(4\/5))\/q*q*q)*q**5))\/((q**(-1)\/q)**(-12)\/((q\/q**1)\/q**5)) assuming q is positive.\nAnswer: q**(-1001\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htafaaaahahahhuuh. Give prob of sequence tuf.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314 + q - 19 - 26.\nAnswer: q + 269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**4*r - f**4 + 17*f**3*r - 3*f**3 + 2*f**2*r + 5*f**2 - 2*f*r + 244*f - r wrt f.\nAnswer: 96*f*r - 24*f + 102*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, 66, 72, 76, 78, 78?\n\"Answer: -n**2 + 11*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/99576 and -103\/36?\nAnswer: 99576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -1. Let t = 42 - v. Let r = -20 + t. Which is the biggest value? (a) 2 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = b - 5*g, 5*b - 146 = 99*g - 97*g. Solve -23*u = b*u + 306 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -62524 and -62563 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000128 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 307 - 233. Suppose -40*i + m*i = 28730. List the prime factors of i.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -148, -163, -182, -205, -232?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -470669, -941357, -1412045, -1882733?\n\"Answer: -470688*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by 43.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*a + 1266 - 1266.\nAnswer: -105*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2. Let g be v(0). Put 4, g, 1 in descending order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**6\/120 - 7*z**5\/60 - 5*z**4\/24 - 3*z**3\/2 - 3*z**2. Is c(-7) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24450862 is divided by 157.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -115809428 plus 0.0152?\nAnswer: -115809427.9848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Let x = 0.4 - 16.4. Let s = x - -16.5. Sort 4, s, m in decreasing order.\nAnswer: m, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -7 (b) -48 (c) 2\/9 (d) -2 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1 + 0 - (-1*sqrt(114) + sqrt(114))\/sqrt(6))*-5 + -1*(sqrt(1900) - (1 + sqrt(1900) + sqrt(1900) + 1 + sqrt(1900)))**2 + -4.\nAnswer: -7603 - 85*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(2\/9))\/(k**(-10)\/k))**(-48))**22 assuming k is positive.\nAnswer: k**(-37312\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5465712179 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 13. Let s(a) = -a**2 - 4*a - 1. Calculate s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Is 87345986 a multiple of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 + q**2 - 2*q**4)*(0 - 2 + 4) + 4*q + 2*q**4 - 6*q + 7*q in the form y*q + g*q**4 + s*q**2 + w + m*q**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1968*o**3 + 192*o**2 - 192*o + 192. Let v(f) = 3*f**3 - f**2 + f - 1. Calculate h(z) + 192*v(z).\nAnswer: -1392*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180514 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -944 + 36821\/39. Let w = 99062\/39 - 32836\/13. Let p = q + w. Calculate the common denominator of 53\/5 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8827290 and 270?\nAnswer: 26481870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knkfkfzwnkn. What is prob of picking 1 n and 1 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 894?\nAnswer: 1\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*g = -0*f - 12, -5*f + g = -18. Suppose 0 = 4*d - a, 0*a - 4*a = 4*d. Suppose -f*t + 5*t = d. Solve 0 = -5*s - t*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 78480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1237 divided by -3574.\nAnswer: -1237\/3574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/39 and 79\/33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 124474716?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11612131.\nAnswer: 79, 146989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 6*k - 2. Let f be d(4). Suppose 2*i = -3*i - f. What is the units digit of 130\/35 + (-4)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.2. Let z = -7 - -7.5. Let p = z + -0.5. Is p != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 14135298 = -12277058. Let h = -2523089 + l. Suppose c + c = -h. Round c to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = -10*i - 27*i + 625 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7233832, -14467640, -21701448, -28935256?\n\"Answer: -7233808*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413582 divided by 2.\nAnswer: 206791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 0, -2\/15, -12, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 893525 and 2575.\nAnswer: 893525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjssjjscjsqscc. What is prob of picking 2 j and 1 s?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-63) + 2\/(-7). Suppose 91*h = -81 + 354. What is the smallest value in h, -10, 8, d?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -43. Which is the fourth biggest value? (a) 2 (b) -0.3 (c) k (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/24 + q**3\/6 - 25*q**2. What is p(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -862, -861, -860, -859?\n\"Answer: d - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**6*y\/(y*y**(-3\/7)*y)*y**(5\/2)*y\/y**(-2)*y assuming y is positive.\nAnswer: y**(167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 9 = 6*r - 1, -2*r - 5*r - 2*b + 14 + 18 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l + 2*l - 7*l - 3*l + 15 - 3*l. Calculate o(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*m**2 - 3137*m - 31041.\nAnswer: -14*m - 3137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 435385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/((-2)\/(-12)). Let b be 3\/4*(t + -6). Let a = 2 - 2. Put b, 1, a in decreasing order.\nAnswer: 1, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:50 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 327 in 0, 0.5, -3, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-3)\/u)*u**7*u)\/(u**(1\/2))**14 assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.712212cm?\nAnswer: 47.12212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 155 = -154 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-140) + 114\/(-532).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-12))\/((-2)\/(-16)). Let c(y) = y. Let p(m) = -2*m + 2 - 3 + 2. Calculate a*c(w) + p(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11126 + 188642\/17. Which is bigger: g or -30?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/9 - 28*i**2\/3 + 40*i - 368\/9.\nAnswer: -2*(i - 2)**2*(i + 46)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 2 - (-1 + 1). Let t be 1\/(3*p\/(-30)). Let g = -28 + 45. Solve -g = -4*r - t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*i + 14, -2*i = -3*f + i. Let o = 7 - f. Let c(z) = 59*z**3 + 1. Let n be c(1). Solve -5*v - 20 = -5*a - n, 5*a = -o*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5372, 21054, 47044, 83342, 129948, 186862?\n\"Answer: 5154*u**2 + 220*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 37*q - 1. Let d be a(1). Let r be (-3)\/(-3) + 0 - d. Let w = 209\/6 + r. What is the closest to 1\/5 in w, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 8:25 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18, 88, -2, 1 in decreasing order.\nAnswer: 88, 2, 1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k + 55*k + 25*k - 43*k - 45*k - 271*k.\nAnswer: -216*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimzzimmdmzdimm. What is prob of picking 2 i and 1 z?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/8*(-46)\/(-138).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8389157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.959752 + 0.96. Round p to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.8, -386, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 5:26 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438940?\nAnswer: 2, 5, 17, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*g**5 + 3806*g**3 - 2*g**2 + 228336*g wrt g.\nAnswer: -180*g**3 + 22836*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 7*f + 8. Let g(k) = k**2 + 14*k + 40. Let r be g(-11). Let j(o) = 3*o - 27. Let l be j(r). Calculate q(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5552, 11106, 16658, 22208, 27756, 33302, 38846?\n\"Answer: -z**2 + 5557*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*t = 8, -z + 22 = 3*z + 2*t. Let p(u) = 2*u**2 - 7*u + 1. Let r be p(5). Solve -a - z*a = -r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 2) + -11 + -26 + 40 + 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - q + 157 = -2*r, 5*r = -q - 185. Is 8 a factor of ((-855)\/r)\/(6\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-164)\/(-52) - 4\/26. Suppose -m*a + 229 = -185. List the prime factors of a.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - k = 35, -6 - 2 = -3*g - 2*k. Let x(w) = w**2 - 5*w + 1. Calculate x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 174, 4\/7, 2\/9, -0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:36 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 4, -2124, -0.2, -4\/3, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 13*i - 6*i + 18*i.\nAnswer: -i + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5506, -22805, -40104, -57403, -74702, -92001?\nAnswer: -109300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*n - 11*n - 10*n)*(n**3 + 0*n - n + n**3) + 2*n**4 + 2 - 2 in the form y*n**2 + k + i*n + m*n**4 + u*n**3 and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 142185051261 and -10.6.\nAnswer: 142185051250.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c**3 - c. Let z be r(1). Let l be (-3)\/((9\/z)\/(-3)). Suppose 5*j + 13 + l = 3*u, 0 = 4*j + 12. Solve -u*d + 15 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 405, 582, 749, 900?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150030204 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485357 (base 9) to base 8.\nAnswer: 1073420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vngvgvvgnvng. Give prob of picking 1 g and 3 v.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by (-2 + 5 - 5) + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 125*s**8\/672 + 335*s**7\/28 + 1159*s**6\/48 - 147*s**5\/8 - 145*s**4\/3 + 65*s**3 + 2*s**2 + s + 19. Let j(h) = 0. What is h?\nAnswer: -39, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419238 + 0?\nAnswer: 419238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**9\/30240 - r**7\/2520 + 7*r**5\/60 + 6*r**2. Let v(h) be the third derivative of x(h). Factor v(z).\nAnswer: 2*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (136\/12)\/((-6)\/9). Let j = 15 + r. Let y(o) = o**2 - 4*o + 1. Let f(m) = -5*m**2 + 21*m - 6. Let u(a) = j*f(a) - 11*y(a). Give u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*t**3 + 444792*t**2 + 426915456*t + 1027895680 = 0. What is t?\nAnswer: -1916, -70\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 2, e: 3, y: 4}. Give prob of picking 1 y and 1 e.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0*a\/(a*a**3)*a*a**(-2\/7)*a\/a**(2\/15) assuming a is positive.\nAnswer: a**(-149\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -10, 5, 26?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15)\/(3\/21)*(-52)\/182\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -19. Let o be 5*x*(-10)\/(-15). Is -4 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdhhhhhdhhh. What is prob of picking 2 d and 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/12*(-7520 - -4). Suppose -7*n - 724 = -t. Suppose 25 = 5*o - n. What is the greatest common factor of 418 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 6*v + 3. Let x be l(5). Let r(d) = 11*d - 23. Is 7 a factor of r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -1, -34, -105, -226, -409?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*k**2 - 767*k**2 + 3 + 393*k**2.\nAnswer: 34*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 32\/66 - (-148)\/814\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Suppose 4*y - 4 = 0, 2*w = w + 5*y + 19. Let l be w\/(-48) - (-126)\/4. Let a(i) = -24*i**2 - 25*i**2 + l*i**2. What is m(a(s))?\nAnswer: -324*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 221*f**2\/2 + 872*f - 1736.\nAnswer: (f - 434)*(f - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 2*r + 4. Let x be w(3). Let o(l) = -3*l**3 + 4*l**3 + l**3 + 4*l**3. Let v be 8\/24 + (-10)\/3. Let c(h) = 3*h**3. Determine v*o(p) + x*c(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0198603042 rounded to 4 dps?\nAnswer: 0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*l**5 - 2*l**2 - 2 wrt l?\nAnswer: 15360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157153*d**2*s + 434*d*s + 119*d + 2*s - 1 wrt d?\nAnswer: -314306*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 9. What is k(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770 (base 11) to base 12.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4410 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p**2 - 2*p - 7. Let n(o) = 19*o**2 - 5*o - 15. Let i(z) = -5*g(z) + 2*n(z). Let c(v) = 35*v**2 - 14. Let m(j) = -4*c(j) - 11*i(j). What is m(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -416 in -1\/7, -0.12, -10, 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27580 (base 9) to base 3.\nAnswer: -221122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*u**2 - 3639*u - 34305.\nAnswer: 16*u - 3639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 - 121. Suppose 2*h = -s - g, -32 = -2*h - 4*s - 108. Let u = h + 24. Which is smaller: -14\/3 or u?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (77288368 - 147*x**2 - 77288368)*(2 + x**2 - 2) as p*x + j*x**2 + z*x**4 + r*x**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 3. Let p be j(0). Let w be ((-11)\/p)\/((-2)\/(-60)). Suppose -2*u = 3*u - w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a - 1. Let h(q) = -2*q - 2. Let l(r) = 6*h(r) - 5*j(r). Let u(w) = -w - 1. Let f(b) = -l(b) - 4*u(b). Suppose 30 = -2*v - 3*v. Determine f(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-1\/3))**(14\/5)*(v*v**(-19))\/(v*v\/(v*v**(1\/25)*v)) assuming v is positive.\nAnswer: v**(-857\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 53*o**2 - 13*o - 219. Let w(j) = -105*j**2 + 24*j + 442. Let m(u) = 11*s(u) + 6*w(u). Differentiate m(v) with respect to v.\nAnswer: -94*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 1222, 5 in decreasing order.\nAnswer: 1222, 5, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -295?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 191.2 + -170. Let z = h - 21. Let r = -81.8 + 80.8. Which is the nearest to z? (a) 5 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -866 - -1310. What are the prime factors of p?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*c - 14*c - 532. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6363647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bopryboyypobrreob. What is prob of sequence ype?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -4607?\nAnswer: -4601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-882\nAnswer: -352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + 2.98. Let w = z - 0. Let p = 45\/2 + -22. Which is the third biggest value? (a) 2\/7 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-3 - -38) - (28 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 36482732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613442 divided by -19?\nAnswer: -84918","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-3)\/(-6)*(-7 - -6). Suppose 2*t - 150 = g, 3*g - 320 = -4*t - n*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6401*f + 3110. Let w(g) = 6399*g - 3103. Let c(i) = -4*w(i) - 5*y(i). Differentiate c(p) with respect to p.\nAnswer: 6409","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1266171 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -845\/154 + 58\/11. Let z = 265\/28 + i. Let c = 2941\/246 + -34\/615. What is the common denominator of c and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s - 1055. Let w be t(84). Calculate the highest common factor of 253 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31570015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8393353 and 0.2?\nAnswer: 1678670.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.11? (a) 1\/2 (b) 0.1 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}