diff --git "a/data/dm_maths/full_data/6566_11255.jsonl" "b/data/dm_maths/full_data/6566_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/6566_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of 0 - 74 - (-20 + 27 + 5 + -13)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 918\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(sqrt(833) + 3)**2*-2 + 4 + ((sqrt(85) + (sqrt(85) - ((sqrt(85)*-1*2 - sqrt(85) - sqrt(85)) + sqrt(85))))\/sqrt(5))**2.\nAnswer: 252*sqrt(17) + 5477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + 53412?\nAnswer: 533a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147\/14)\/(-7)*(-94)\/423*-21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*r + 7*r + 15, -5*r - 4*m = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5565 is divided by 2767?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1142242 (base 6) to base 13\nAnswer: -214b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbbt when four letters picked without replacement from {b: 5, t: 3, h: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-6) + 8*4\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 377*s**3 + 13*s**2 + 45*s + 30. Determine q(-1).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 3) to base 9\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p + 5. Let y = -1004 - -1008. What is r(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**44\/((p*(p*p*p**(-1\/16)\/p)\/p)\/(p*p*(p**5\/p)\/p))*(p*p**6*p\/(p\/p**(-9)))\/(p\/(p\/p**1))**43 assuming p is positive.\nAnswer: p**(-1359\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 18*o - 32. Let w be i(-16). What is the fourth biggest value in 6, w, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*a**6 - 575*a**6 - 68*a**6 + 2*a**3 - 2*a**3 + 38*a**2 wrt a.\nAnswer: -72840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2800 and 280.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 1 t when three letters picked without replacement from gtkmvnmv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*r = r + 5439, 6*r = 12. List the prime factors of t.\nAnswer: 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 76 = r - 0*r, 152 = 2*w - 4*r. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25551\/4075 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 10*g**2 + 6*g - 5. Let s be y(-5). Let q = -30 - s. Solve -3*h - 1 = q*z, h - 2*h - 3 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 - 2*g**2 + 0*g**3 + 0*g**3 + 2 - g - 2*g**3. Does 5 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 7. Let s(i) be the second derivative of -i**3\/3 - 442*i. Let z be 2\/5 - 21\/15. Let u(g) = z*a(g) + s(g). Give u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 42 = 22*a - 20*q, 11*a + q = 14*a - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -2*t**5\/15 - 13*t**4\/54 - t**3\/27 - 3*t + 21. Factor o(h).\nAnswer: -2*h*(h + 1)*(12*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 70 + 64 - 134 + o. Let l(y) = 7*y. Calculate l(s(n)).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.4 (b) 2\/5 (c) -1\/35 (d) -14\/17 (e) -1\/2 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 11:41 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0834418 to 3 dps.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3024522?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 3, j: 2, i: 3, s: 3, v: 4}. What is prob of picking 2 i and 1 v?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 8, -r + 2 = -0*a + 2*a. Suppose -2*d = d - 6. What is the third derivative of 12*c**3 - c**3 + 15*c**a + 3*c**3 - 50*c**d wrt c?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -392097 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -24. Suppose -2*p + 0 + 2 = 0, -5*p = -h*c + 10. Let d(k) = -k**2 + 6*k + 4. Let f be d(6). Solve -i + f = c*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261 - 257. Sort -10, h, 6.\nAnswer: -10, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 12*m + 8*m - 4*m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -232*o + 228*o + d, 3*o + d - 16 = 0. Solve -2*l + 17 = -o*c, -4*c = 17*l - 12*l + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15996703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 15*x**2 - 52*x**3 + 70*x**3.\nAnswer: 18*x**3 - 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117432 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 3.623.\nAnswer: 0.14492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*u + 3541 - 3541 to the form y*u + j and give y.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 3*g + 3. Let p(h) = -h**2 + 2*h - 3. Let n = -388 - -390. What is n*v(f) + 3*p(f)?\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1300*p + 1299*p = -6*y - 7, 3*p - 4*y - 7 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -628 - -638. Suppose -1305 = -c*i + 465. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 5. Let o(c) be the second derivative of -2*c**2 - 56*c. Determine -4*o(l) + 3*v(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (-7 + 4)) + -4. Suppose -2*c = 5*a - 49, o*c + 22 = 5*a - 17. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -622 - -654. Calculate the least common multiple of m and 130.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/4)\/((-2)\/(-232)) is divided by -3*(-3 + -2)*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1155?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/(-6)*15\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3008817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjjjjjfjfjjjffjjjjf. What is prob of picking 1 f and 2 j?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**2 - 3*y + 5. Let i be x(-5). Suppose -v + 17 = 5*q, -v - 2*q + 29 = -3*q. What is the highest common factor of v and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = m + 52, -7*l + 2*m = -2*l - 85. Suppose l + 62 = 9*o. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*v**3 - h**2*v + 291*h**2 + 2*v**5 + v**2 - v wrt v?\nAnswer: 6*h**2*v + 40*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 22. Let v be o(10). Suppose -9*a + 48 = -3*a. Put v, a, 1 in decreasing order.\nAnswer: a, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 3) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (4 - 6) - -4. Suppose -3*y = u - 18, -n*u + 0*y + 10 = -y. Solve 0*l - u = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11 - 124*i + 4 + 253*i - 127*i. Let r = 364 - 212. Calculate the remainder when r is divided by z(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 5, -9, -5 in decreasing order.\nAnswer: 5, -5, -9, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 8, y: 5, s: 2, l: 1}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -344042323 (base 5) to base 10\nAnswer: -1549713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 2. Differentiate -21*h - 19*h**2 + c*h - 12*h**2 - 3 wrt h.\nAnswer: -62*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 12373?\nAnswer: 37119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, v: 2}. What is prob of sequence vuv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32897 or 296077\/9?\nAnswer: 296077\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d**2 + 6*d - 1. Let o(j) = 22*j**2 + 6*j - 1. Let r(v) = -3*o(v) + 4*s(v). Is r(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Let o(t) = 6*t + 2*t + 2*t**2 - 4*t**2 + t**g - 1. Let j be o(8). Does -3 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(1*sqrt(275))*4.\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-62) + 8\/(-124))*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130305*n**3 - 7*n**2 - 11586*n wrt n.\nAnswer: -781830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpphhph. What is prob of picking 2 p and 2 h?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 8*k**2 - 7*k + 6. Let w be b(-7). Suppose -46 - w = -a. Suppose 3*q - a = -13. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 1\/10*x**5 + 0*x**4 + 0 + 6*x + 0*x**2 - 5\/6*x**3. Let r(t) = t**3 - 3*t. Determine 3*n(s) - 5*r(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 u when four letters picked without replacement from {b: 3, c: 1, u: 11}.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -97581?\nAnswer: -5\/97581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106938673?\nAnswer: 61, 1753093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 561*a**3 - 30*a**2 + 136*a - 6. Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -7*f**2 - 7*f - 11\/6*f**3 + 1\/4*f**4 + 0 + 1\/20*f**5. Calculate the remainder when j(-4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444047 is divided by 147950?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 190181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616697352?\nAnswer: 2, 3, 37, 231493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -19*t**2 - 54*t + 3. Determine d(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/30*6\/(-15). Is t bigger than -1\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/(-1241)*(288\/27)\/16.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47652445 + -1?\nAnswer: -47652446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 1 - ((-25 - -4) + 22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-8)\/(-10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -55*r**2\/2 - 14*r - 70. Does 16 divide u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.989 to 1 decimal place.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-644)\/(-70) - 10)\/((-24)\/(-42)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -194*m + 35895. Calculate f(185).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 60, -7, -2, -0.1, -5 in decreasing order.\nAnswer: 60, -0.1, -5\/4, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -3)*19 - -5. Is 16 a factor of 296*((-72)\/k + 8\/(-44))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -351, -2720, -9153, -21684, -42347, -73176?\n\"Answer: -339*n**3 + 2*n**2 - 2*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 18*a**3 - 9*a**2 - 4*a + 4. Let p(w) = 36*w**3 - 19*w**2 - 7*w + 7. Let q(s) = 4*p(s) - 7*x(s). Find the third derivative of q(h) wrt h.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -34 in decreasing order.\nAnswer: 9, 5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -13) + 3 - (2 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7586 + -2.8863523.\nAnswer: -7588.8863523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3235 divide 146210151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z - 3480*z**2 - 6*z - 6*z - 8*z.\nAnswer: -3480*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 896517 and 1775?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2235126 and 14450?\nAnswer: 55878150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 4*z + 40 = -16*x, z = 3. Which is smaller: x or 51\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 p when four letters picked without replacement from pwwwwppwwwpwpwwwpwp?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10 - 72\/(-240))\/((-25)\/10).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24.3344 and -2242?\nAnswer: 2217.6656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/5, 0.01, 6, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2996*b + 1479*b + 1517*b - 2*b**3 + 21.\nAnswer: -2*b**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -35. Suppose -76 = -4*f + 4*x, -4*x - 7 = -f - 0*f. What is the remainder when f is divided by ((-24)\/(-15))\/(-2*b\/45)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2415*x - 216. Let o(y) = -1207*y - 86. Determine 2*m(g) - 5*o(g).\nAnswer: 1205*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.53 in -11\/9, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16924185 and 52.\nAnswer: 880057620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 1.1. Let u = 0.226 + 11.774. What is the third smallest value in -5, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333337429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1019*n + 173208. What is l(-170)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a460a (base 11) in base 14?\nAnswer: 16a494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26437 + 776?\nAnswer: 27435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-5)*m**(7\/8)\/m*(m*m**9*m)**(-1\/13) assuming m is positive.\nAnswer: m**(-517\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 980 = 5*q, -4*q + 4*z + 812 = -0*z. Let a = 81 - 59. What is the greatest common divisor of q and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 36491033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/6*(-18)\/(-44)*(-22)\/(-12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4577 + 0.0013.\nAnswer: 4577.0013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*v + 43*v - 4360 = 4953. Which is greater: v or -68?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:59 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.31 greater than 450.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0 (c) -1 (d) -83096780\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(1534\/354*(-2)\/13)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 82, 63 in increasing order.\nAnswer: 1, 2, 63, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 109024 or 109015?\nAnswer: 109024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 - 118*j**3\/3 - 121*j**2.\nAnswer: j**2*(j - 121)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11258100*p**2 - 11825077*p wrt p.\nAnswer: 22516200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 2*d. Let o be z(-2). Suppose -2*n = 4*q + o, 2*q - 3*q - 1 = 2*n. What is h in 2\/3 + 2\/3*h**n - 4\/3*h = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 5*i + 14, -a - 34*i + 1 = -36*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 9968913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1619, 3248, 4879, 6512, 8147, 9784, 11423?\nAnswer: 13064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21000211222 (base 3) in base 16?\nAnswer: -21ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/3049780 and 163\/442710.\nAnswer: 27448020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 4. Let k be b(4). Suppose 4 = -s + 41. Let u = 13 + -8. Solve -u*h - k = -s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5000 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 2*v = -99. Suppose v*u - 235 - 170 = 0. What is the remainder when u is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(40\/(-5) + -2273) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*g**3 + 3\/2*g**2 + 0 + 9\/4*g.\nAnswer: g*(g + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4448810*n**5 + 1004024*n**2 - 4?\nAnswer: -266928600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 3*u - 2. Let l be k(2). Suppose 5*q + 11 - 1 = l. Does 9 divide q - 0 - -1*21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59 (b) 0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/15 - l**4\/12 + 5*l**3\/6 + 4*l**2. Does 16 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 6*r**2 - 19*r - 21. Let a be y(-9). Let g be (a\/(-62))\/((-2)\/(-4)). Solve 2 - 8 = g*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*-1)\/(83\/(-1245)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(2*k - 4*k + 0*k)*(3*k - 18 + 18).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 6 = 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - 29?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 3:09 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 984*s**2 + 8655*s - 13398.\nAnswer: 3*(s - 319)*(s - 7)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 6*j)*(-1 + 2 + 1) - 2*j + j - 6*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000 + 12?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 21*j**2 - 49*j + 558. Is 155 a factor of y(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25423867?\nAnswer: 7, 59, 61559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2 - 3*a. Let l(j) be the first derivative of j**3 + j**2\/2 - 13312. Determine 9*l(k) + 4*y(k).\nAnswer: 7*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g**3 + g**2 - 17*g + 20*g**3 + 18*g to the form b*g**2 + f*g**3 + d*g + q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 116 times -0.2454533\nAnswer: -28.4725828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 2414*d + 41528. Determine h(-17).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)\/sqrt(10)*6 - (2 + sqrt(2) + -1 + 3)) + 0)*-5.\nAnswer: -115*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 + 6 + 9 + -25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87557114?\nAnswer: 2, 1091, 40127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -85.\nAnswer: 96\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137110.42 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 3, 1\/6, -0.44, 0.4, 252?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 45. Suppose -h*o + 4*b = -32, -b + 11 + 23 = 5*o. Suppose 2360 = -o*d + 10221. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 179 + -286. Let o = -105 - c. Suppose 2131675 = -o*z - 21268325. Round z to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557524349.\nAnswer: 557524349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 2:18 PM?\nAnswer: 268","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 260*t**2 - 535*t + 270.\nAnswer: 5*(t - 1)**2*(t + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/17768 and -67\/14.\nAnswer: 124376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 13\/3, -2\/7, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + x**2 - 12*x + 1. Let m be y(3). What is the greatest common divisor of m and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 30582 + 64086 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 12*a**5\/7 + 88*a**4\/7 - 1460*a**3\/7 + 3344*a**2\/7 + 1280*a\/7 = 0.\nAnswer: -16, -1\/3, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - x - 31 = 61, 4*x = -16. Is (21\/6)\/(-3 + (-265)\/a) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2231 and 873?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:10 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 1, b: 1, l: 2}. Give prob of picking 1 b, 1 u, and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 2)\/3*-40. Let r(z) = -42*z + 16*z + 1 - 5. Let w be r(-4). Calculate the greatest common divisor of w and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386196.\nAnswer: 2, 3, 32183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1080 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 1775*k**3 - 1025945*k**2 - 15791515*k - 44475 = 0.\nAnswer: -15, -1\/355, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(275) + -5)*-2)**2.\nAnswer: -4000*sqrt(11) + 29100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-99) + (-8)\/(-12). Let v = i + -1\/22. Which is the smallest value? (a) 1 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from {l: 4, o: 3, c: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14487 and 598653.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 28*b - 11. Let x(q) = -2*q. Let t(o) = 2*v(o) + 22*x(o). Calculate the remainder when 50 is divided by t(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78 - 374?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3 + 7*u - 4 - u**3 + 5*u**2 + 3. What is the units digit of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, -1\/2, 0.3, -2\/7?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**7\/12 - f**6\/12 - f**5\/20 + 3*f. Factor w(h).\nAnswer: h**3*(h - 1)*(7*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 13. Suppose 0*u + 6 = -2*u. Let o be u - -87 - 1 - -1. What is the greatest common factor of o and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-64)\/(-36) - 5\/20*4. Let g(r) be the first derivative of -7 + 0*r**2 - 9*r + l*r**3. What is the first derivative of g(h) wrt h?\nAnswer: 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -23*n - 17*n + 44 + 65*n - 26*n. Let a(g) = -3*g - 12. Let t be a(-12). What is the remainder when x(t) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/9 + 50*h**3\/9 - 190*h**2\/9 - 1910*h\/3 + 1932 = 0. What is h?\nAnswer: -23, -14, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 + -31. Suppose -r*s + 164*s - 15 = 0. What is the second derivative of 3*y**3 - 14*y + 4*y - 12*y - 31*y**s wrt y?\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52505, 52425, 52343, 52259, 52173?\n\"Answer: -a**2 - 77*a + 52583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363345292 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349, 395, 467, 565, 689?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 105*n**4 + n**3 - 5*n**2 - 1 - 1515*n + 1514*n - 8*n**4 in the form f*n + q*n**3 + a + l*n**4 + d*n**2 and give l.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13451.7 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 790147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let d(f) = 11*f - 73. Let w(t) = -6*t + 36. Let h(q) = -3*d(q) - 7*w(q). Let k be -4 + (-5*9)\/(-5). Let z be h(k). Solve -2 = 5*p - z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*c**2 - 61*c**2 + 259*c**2 + 10*c**2.\nAnswer: 511*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 21561?\nAnswer: 43122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 v when four letters picked without replacement from uvuuuevueeuvvvue?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 37*x + 679. Calculate u(14).\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(112)*2*-6 - sqrt(112)) + 0)**2*-5.\nAnswer: -94642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**(-7\/9)\/(t**0)**(-44) assuming t is positive.\nAnswer: t**(14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccgcg. Give prob of picking 3 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567107 is divided by 1726.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1134899490*b**3 + 338155*b + 951?\nAnswer: -6809396940*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n - 120 = 37*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(209) + sqrt(209))*-5)\/(sqrt(11) + (3*sqrt(66))\/sqrt(6)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-15) + 2\/(-6). Let j(k) be the first derivative of 0*k + 0*k**2 - 2\/5*k**5 + 1 + 0*k**4 + u*k**3. Find the third derivative of j(m) wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15330 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 4. Let a(y) be the first derivative of y**2 + y - 2*y + 0 + 4*y - 3. Give -4*a(d) + 3*i(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -613 - -1042. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 + 12)\/(42\/(-21))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = j - 53, -3*l + 70 = -j. Suppose 2*o - 4*w - l = 0, 0 = 3*o - w - 0*w - 13. Suppose o*g = 113 + 220. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -5\/3*q**4 + 0*q + 13\/3*q**5 + 0*q**3 - 11\/4*q**6 - 11\/6*q**7 + 35\/48*q**8 + 0 - 35*q**2. Let h(m) = 0. Calculate m.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-13 - -3 - -155) + 12 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.51 times -348?\nAnswer: -525.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + q - 3*q**2 + 2*q**2 - 3*q**2 - 3 to f*q**2 + l*q + z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 3:36 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -11. Let f = -8 - u. Let q = 0.945 + f. Round q to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16463, -16465, -16467?\nAnswer: -16469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3*((-154)\/(-21) - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-13)\/26)\/(1\/(-2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l + 16 = -49*l. What is w in -5 + l*w**2 - 4*w**4 + 9 - 8 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-352)*-96 - (-280)\/46.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/24 + (-17)\/36. Suppose 4*i + 0*i + 8 = -3*z, -z = -i + 5. Which is greater: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msss when four letters picked without replacement from {s: 4, i: 5, m: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*x - 77, -5*y - 44 = 4*x - 173. Let k be (13\/(-2))\/(y\/(-150)). Calculate the greatest common factor of k and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6843 - 6832. Let u(f) = -f**2 + 9*f + 28. Calculate u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -244*j**3 + 258*j**3 - 3*j**2 + 3 + 4*j - 5. Let a be r(1). Solve 5*i - 4*m = -21, -3*m + a = -5*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145908 is divided by 10415.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199794412?\nAnswer: 2, 49948603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - 0.2. Suppose 5*j + 4*g = 2 - 18, -2*j + 3*g = 11. Sort j, 2.1, c.\nAnswer: j, c, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 3*b**4 - 2*b**3 + (-3*b**4 - b**4 + 3*b**4)*(1 + 1 - 3))*(4*b - 6*b + 0*b + (-2 + 2 + 3*b)*(3 - 1 + 0)).\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 3801.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 29. Suppose -3*u = -z + 404, -7*u + 3*u + 778 = p*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1306735, 2613473, 3920211, 5226949, 6533687?\nAnswer: 7840425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = y + 2, -6*y = -3*t - y - 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -131. Let g be 2\/10 - (-6)\/(-5). What is the nearest to g in 1\/4, -2\/9, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33480 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 d, and 1 g when four letters picked without replacement from {g: 1, o: 1, h: 2, d: 3, x: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(9)\/sqrt(3) + -1 + -5 + -5 + sqrt(147)*1)**2*4.\nAnswer: -792*sqrt(3) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*z - 17*z**2 - 69*z - 68*z + 203*z.\nAnswer: -17*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - -2*sqrt(171)) + (sqrt(19)*-1*-3)**2.\nAnswer: 9*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5*1*33\/33\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/9 (c) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**7\/1050 - a**5\/300 + 11*a**2. Factor k(i).\nAnswer: i**2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*n - 2636111 + 159372 = 24134. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11476)\/(-6612) + 20\/(-290).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/4 + 624*o**3 + 516663*o**2\/4 - 521667*o\/2.\nAnswer: 3*o*(o - 2)*(o + 417)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 353 - -15?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*h**4 + 110*h - 110*h)*(0 + 4 - 3) - 12*h**4 + 2*h**4 - 8*h**4 + 2*h**4 - h**4 + h**4 to the form l + i*h**4 + t*h**2 + q*h + f*h**3 and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 19*s**2 + 3*s + 54. Let a(x) = 10*x**2 + x + 30. Give 7*a(q) - 4*i(q).\nAnswer: -6*q**2 - 5*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 11:43 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-2)\/(((-49)\/196)\/(((-45)\/220)\/9)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83.453, 0, -2\/3, -3\/2, -4.\nAnswer: -83.453, -4, -3\/2, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 540 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -381 (base 15) to base 12.\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*((-60)\/(-350) - 0).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 21, 33, 47, 63, 81?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3634 is divided by 857?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490471 and 1567.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 29*i = 780. Calculate the smallest common multiple of i and (-30)\/(-4)*4\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 183 + 1 = 0. Let k(s) = 4*s - 6*s**2 - 4*s + s**3 - 7*s + 3. List the prime factors of k(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 + 139*m**3 + 479*m**2 + 521*m + 186.\nAnswer: -(m - 31)*(m + 1)**2*(5*m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2 = 2*r + 1, -5*n + 20 = 5*r. Suppose 0*g - 2*c - 6 = 5*g, -r*g + 4*c + 12 = 0. Solve -4*j - 12 = 4*q - g, 3*j = -5*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 530?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10162 + 10142. Let f = 17\/8 - 69\/40. Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 27*r = -270. Let m = 28 + r. Let w = m + 64. Solve -w*y = 5*d, -4*d + 16 = 4*y - 2*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 11*u + 212. What is the remainder when v(0) is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - -45) + -2 + 5 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**3)**(-48)*z**(19\/5)\/z**(-3\/14))**37 assuming z is positive.\nAnswer: z**(259037\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*(-203)\/(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 15. Suppose 0*f + 3*f = n. Solve a - 3 = f*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-348)\/(-5 - -2) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 11*b - 3 + 2 as p + u*b and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -9 + 9\/1. Suppose -4*d + 161 = -f*j - 14, 2*d + 3*j - 65 = 0. What is the remainder when 75 is divided by d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -69, 0.28, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44492590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 4*x - 5. Let d be o(-5). Let l(a) = -2*a - 12. Let w be l(7). What are the prime factors of (w + d)*(-5)\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from razriaialar.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 - 5*f + 24 = 0. Calculate f.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + q - 2. Let n(j) = -j**2 + 2*j - 4. Calculate -5*h(r) + 2*n(r).\nAnswer: 3*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*m = -60*m + 191*m - 4422 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -l + 2*l, -4*l = -2*t - 10. Suppose 4*h - t*c - 14 = -2, -2*c = 3*h - 32. Solve -2 + h = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 10*u**3 - 2*u**2 + 19*u**3 - 7*u**3 + 2*u**2.\nAnswer: 2*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 39633996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/120 + o**5\/30 + o**4\/24 - o**3\/3 + 107*o**2. What is s(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4202558604225 + -4202555296560.620073. Let d = p - 3307836.38. Let k = d - -172. Round k to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -26, -2.\nAnswer: -26, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30117 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 - x**3\/2 + 3*x**2\/2 + 5*x\/2 + 1.\nAnswer: -(x - 2)*(x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*x - 2*x**2 - 270*x**3 - 6*x**3 + 49*x + 10*x wrt x?\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2. Let b(n) = 116837*n. Calculate f(b(u)).\nAnswer: -54603538276*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7.7 (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:26 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 69.284*3\nAnswer: 207.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 22. Let z(q) = -q - 9. Let h(n) = 2*n + 10. Let p(m) = -2*h(m) - 3*z(m). What is 7*p(k) - 2*x(k)?\nAnswer: -k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 486*d. Let g(m) = 9*m**2. Determine y(g(z)).\nAnswer: 4374*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 13, r: 6}. Give prob of picking 3 z.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 130847500513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, h: 8}. Give prob of sequence hh.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**4\/24 - 17*f**3\/6 + 91*f**2 - 3. Give u(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 32 = -27*y + 26*y - 0*m, 0 = 5*m + 45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 + 116*t - 86. Give u(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -25.8. Let h = i + -4. Let y = h + -2.2. Which is the closest to 0? (a) y (b) -1\/8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k**2. Let i(j) be the first derivative of 3*j**2 - 16*j - 3. Let l(r) = -r + 3. Let y(u) = -3*i(u) - 16*l(u). Calculate y(s(a)).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.087?\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*j + j, 2*j = 5*x - 12. Let u = 3 - 3.1. Which is the closest to u? (a) -0.01 (b) x (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 10*c**2 + 9*c + 20. Let d be g(9). What is the greatest common factor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**6)\/r)\/r**(-9\/7))\/(r**5)**(-2\/63))**(-1\/6) assuming r is positive.\nAnswer: r**(41\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 3.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*h - 44, -3*x = -15 + 3. Let d(a) = -18*a - 6. Let u be d(-1). What is the highest common divisor of h and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 5087*m**2\/2 + 3293640*m - 149234400.\nAnswer: (m - 2520)**2*(m - 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-1))**(2\/17))**(-30))**2)**(-23) assuming z is positive.\nAnswer: z**(-2760\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:17 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - o**3 - o**3)*(o**2 - 3*o**2 + 0*o**2) + o**5 + 2*o**5 + o**5 + (2*o - 3*o + 3*o)*(2*o**2 - 2*o**2 - 2*o**4).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162873860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:43 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6198724 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (17 - 12 - -57)*(1 + 6). Sort 5, -3, o.\nAnswer: -3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31399 + 31726. Is x greater than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609.4478 weeks to days.\nAnswer: 4266.1346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-520)*-5)\/(1*(-13)\/260).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18175541 and 164733.\nAnswer: 54526623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 126*n. Let b(i) = 5*i. Give -99*b(v) + 4*j(v).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.1144 - -0.1144. Is 1\/13 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206856, 206857, 206858, 206859, 206860?\nAnswer: 206861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 556*z**2 + 213*z**2 + 343*z**2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31310 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110001000 + -101001001001?\nAnswer: 100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:07 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l + 38 = 2*s, 4*l = s - 1. Let u be ((-1)\/(-2))\/(4\/40). Suppose u*c = 4*f - 25 - 0, -3*c - 3 = 0. What is the remainder when s is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -14) + 56 + (-1 - 12) - -10.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/11*l - 2\/11*l**3 + 6\/11*l**2 + 2\/11 = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 141? (a) -1\/6 (b) 0.1096 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2626*k**3*t**2 + 2*k**3 - 2*k**2 + 259*t**2 - 1697880 wrt t.\nAnswer: -5252*k**3*t + 518*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.292837 and -5.\nAnswer: -1.464185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15137829 rounded to 3 decimal places?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2136 - -18970. Does 82 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 383372?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(5 + -2 - 3 - 29\/406). Let a = 9 - 8.72. Put a, s, -7 in decreasing order.\nAnswer: s, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 61853.46 minutes?\nAnswer: 3711207600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-10))\/(-6*(-10)\/(-480)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.38 and 198016.\nAnswer: 75246.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(1*4)*-8. Let g = -2 + 1.6. Put q, 3\/5, g in ascending order.\nAnswer: q, g, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 11*f**6\/30 + f**3 + 49*f**2\/2 + 52*f. Differentiate w(d) with respect to d.\nAnswer: 44*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 12. Suppose u + 1 = x. What is the units digit of ((-28)\/(-35))\/(u\/50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.982 + 0.018. What is the third biggest value in -1\/2, h, -0.3, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6566\/6)\/((-10)\/6). Let j = 661 + i. Find the common denominator of -64\/9 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1632 - -1672. What is the lowest common multiple of o and 208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phme when four letters picked without replacement from {m: 5, p: 1, e: 1, h: 7, x: 2}?\nAnswer: 1\/1248","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Suppose 1171 = 5*f - 4*c, 4*c = f - 262 + 31. Let z(r) = f*r - 235*r - 2*r**2. Give k(z(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 6 - 9)*(-20 + 20 - q) + (-2*q + 0 + 0)*(1 + 0 + 0).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/665 and 59\/186200.\nAnswer: 186200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5802.1mg?\nAnswer: 0.0000058021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.55584km to meters.\nAnswer: 47555.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k + 8*k - 29*k - 27*k to z*k + h and give z.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.4. Let j = -155.44 + 2.04. Let v = j - -153. Which is the fourth biggest value? (a) -1 (b) i (c) -3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipcippppppc. What is prob of sequence ip?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48859 (base 12) to base 13.\nAnswer: -357a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238360 and 303505.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(4 + 580\/(-146)). Let m = b - 81. Calculate the least common multiple of 4\/(-8)*m + 8 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*b = 0, 0 = r + b - 13 + 10. Let t = -186 - -264. Suppose 0 = r*w - t + 18. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/((-1)\/(-10)). Let y = -10 - h. Is (-2)\/5 - 688\/y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7522)\/6 + 13\/78. Let k = w - -1293. Calculate the common denominator of 65\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.576 + 0.5. Let i = -23.424 + w. Let f = -24 - i. Which is the smallest value? (a) 0.6 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -21*o - 9. What is the first derivative of 11 - a - 5*a**o - 7 - 2*a**3 wrt a?\nAnswer: -21*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*h + 1 - 1.\nAnswer: 144*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*n**3*q**3 - 22*n**3*q**2 - 2*n**3 + 16*q**6 wrt q?\nAnswer: -78*n**3 + 1920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.18141 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 116 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3\/4 - 3475*s**2\/4 - 2319*s\/4 + 1159\/4 = 0.\nAnswer: -1, 1\/3, 1159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/10)\/(29\/(-5)). Let k = v - -81\/58. Sort k, -4, 0 in decreasing order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56 - -1 - 2\/1*2.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/64 + (-167934)\/493776. Let g = z - 6\/127. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35046337371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 1}. What is prob of picking 1 s and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1781 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d1d5 (base 16) to base 3.\nAnswer: -2201200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29159, -58305, -87441, -116567?\nAnswer: -145683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiz when three letters picked without replacement from {t: 1, i: 2, z: 3, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -1\/16*k**4 - 1\/4*k**3 + 0*k**2 + 0*k - 3. Factor n(s).\nAnswer: -s**2*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r**2 + 0*r - 30 + 1\/18*r**6 - 2\/9*r**3 + 2\/15*r**5 - 1\/12*r**4. Factor k(l).\nAnswer: l**2*(l - 1)*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:02 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*(-80)\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 161*p**3 + 51 + 48 - 98 + p - p**2. Let a be f(1). Calculate the highest common divisor of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11\/7, 3\/37, 2\/19?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + 0*r**2 - 6*r**2 + r**2 - r + r + (8*r - 5*r + 2*r)*(5 - 5 + 3*r) to o + t*r**2 + n*r and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.08 + 3.08. What is the third smallest value in -1, -0.11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((4*4)\/2)\/(-186 - -185). Let i be (13 - (-4 - q)) + -10. Which is the third smallest value? (a) -7\/4 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -11, 1\/6, 2\/5, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -18.9. Let x = -0.3 - v. Let h = 1\/21 - -2\/7. Which is the closest to h? (a) 2\/7 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2\/f)**(1\/6))**33*(f**(-4)*f**(-3\/4)\/f)\/(f**(-4)*f\/(f*f**(-7))) assuming f is positive.\nAnswer: f**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2668, -2141, -1614?\n\"Answer: 527*i - 3195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 51*f = 5054. Is -360 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -57. Sort 5, -1, c, 1.\nAnswer: -1, 1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**3\/6 + 5*j**2 + j. Let v be 456\/171*(-3)\/1. Let z be f(v). Solve -n = -z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 17446\nAnswer: -2\/8723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**9\/3024 - g**8\/840 - g**7\/840 + g**3\/6 + 8*g. Let c(v) be the second derivative of n(v). Let c(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 388.\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*t**2 + (t + 2 - 2)*(8*t + 0*t - 2*t) + t**2 + 4 - 4 - 102*t**2 + 123*t - 123*t + 3*t**2 + 0 + 0 to s + u*t + i*t**2 and give i.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 7*v + 12. Suppose -3*w = 4*h - 64 + 5, -4*h - 4*w + 64 = 0. Calculate the remainder when h is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 10:19 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65209 = -1149*t - 865 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**3 + 355*l**2 - 4470*l + 15120 = 0. Calculate l.\nAnswer: 6, 9, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 90 = -36 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/270 and 2\/(-174)*(-11481)\/(-3560)?\nAnswer: 31320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13590\/906 - (26\/5 + (-6)\/(-15))\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -757\/5796 - -11\/252. Suppose -3*u + 1 = -8. Suppose -5*k + 10 = -2*n, -8 - 7 = -3*k + u*n. Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610188762 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 21*k**2 + 17*k - 92. Determine o(-22).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 615194020 divided by -123038804\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 = -16*q - 7*x + 2*x, 0*q + q = -x - 18 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 18*f**2 - 286*f\/5 + 7098\/5.\nAnswer: -2*(f - 7)*(f + 13)*(f + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 30*a + 15980 = 56*a. What is the remainder when 1625 is divided by a?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1413.756 years to centuries.\nAnswer: 14.13756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 5*q. Let h(v) = v**q - 3*v + 3*v. Let j(m) = 0*m + 3*m - 4*m. Calculate h(j(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 1.3, -8, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11348 is divided by 344.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 25960*f - 12980*f - 5 - 12979*f. Give j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023862 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*q - 374*q - 457*q = 17900 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 13. Let g be b(10). Suppose 2*d = -h + 31, g*h = -d + 2*d - 12. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 122123333?\nAnswer: -122123323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15959 and 0.1139?\nAnswer: -1817.7301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -15. Let u = q - -25. Calculate the greatest common divisor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -25, -11511 in decreasing order.\nAnswer: 4, -25, -11511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/839, 2\/7, -1\/76, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a hour in minutes?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-66))\/(((-2)\/44)\/(353\/(-21180))).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**3 - 49*j**2 + 3*j + 30. List the prime factors of r(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from egqoqel?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 5:28 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 5. Let c be a(3). Let z be c + (2 - 4) + -1. Find the common denominator of -9\/7 and 107\/z + 1 - -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18745511 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 6*z - 45 = 0 for z.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 4*x. Let d(p) be the third derivative of p**5\/60 + p**4\/24 + 4*p**2. Let f(y) = -4*d(y) - u(y). What is n in f(n) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -49d?\nAnswer: 49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1013237 = 508*b - 3372109 - 5369332. What are the prime factors of b?\nAnswer: 3, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-292)\/(-365))\/((-2)\/(-10)). Suppose -281 - 7 = -z*g. What is the remainder when 282 is divided by g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 5149701648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -5*a**3\/6 - 3*a. Let b be l(-4). Let v be (-2 + (-15)\/(-6))*b. Round v to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxhxrxix. Give prob of picking 1 h and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (16 - 13) + (-1 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -67107193 divided by 22?\nAnswer: -67107193\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7802 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -187268 divided by -38\nAnswer: 93634\/19","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 99100997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 35\/801952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*123.4959\nAnswer: 111.14631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/(24\/(-1368)). Let i be -1*1*(x - -30) + 1. Is 15\/25 - 1074\/i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 311*w - 683. Let u(f) = 926*f - 2051. Let c(j) = 8*q(j) - 3*u(j). What is the derivative of c(a) wrt a?\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 2 in descending order.\nAnswer: 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 16*k + 18*k + 4 = 0, 2*a + 5*k + 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 0 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 2*p - 5*l, p - l = -1069 + 1099 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -149 in -4, -1\/7, 1\/162, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2039 + -1659. What is the remainder when o is divided by 122?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17577\/6446635 + 1\/8405. Sort k, 2, 1, -2.\nAnswer: -2, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1088830923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27573298.\nAnswer: 2, 2003, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*-3*(-10)\/(-4)*(-144990)\/(-17900).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*h**2*r**3 - 9*h**2 + 265*h*r**3 - 2*h*r wrt h.\nAnswer: 138*r**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2885 = -6*h - 3*b, 3*h - 5*b = 4318. What are the prime factors of h?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 13*b - 16*b - 6, -5*y + 2 = -b. Let r(q) = q**3 - 3*q**2 - 2*q - 1. Let f be r(3). Let i = 7 + f. Solve i = -2*w - y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 40 = -4*x, 3*d = -0*d + 12. Suppose 0 = x*v - 5*v - 14. Let t = 2 + 0. What is the remainder when t is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p + 1. Let o be b(-1). Let t(m) = -m - 5. Let z(k) = -73*k + 16*k + 26*k + 13*k + 19*k + 6. Give o*t(h) - 3*z(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, f: 7}. Give prob of picking 1 f and 2 v.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -79. What is the second derivative of -7*t**x + 3*t**3 + 12*t**3 + 6*t**3 - 30*t wrt t?\nAnswer: 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) -1\/16 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and -9\/1922.\nAnswer: 3844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 442279, 442217, 442155?\n\"Answer: -62*o + 442341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - u + 2. Let m be v(1). Let a = 5 + -2. Solve m*p + 5*f + 24 = 0, 0 - 1 = -a*p + f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-24 + -2)) + -20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -187*s**2 - s + 3. Let g(n) = -935*n**2 - 6*n + 16. Let r(j) = 2*g(j) - 11*o(j). Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 + 3*l**2 - 1. Let h be z(-2). Let d = h + 38. Solve 4*k - 19 = 4*x + 5*k, 4*x + 3*k + d = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w + 2*w - 14*w + 2*w**2 - 3*w**2 - 10. Let l be i(-3). Solve -3*o**l - 3*o**3 + 2*o**2 - 2 + 0 + 3*o**2 + 3*o = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -12)*(-4)\/10. Suppose 2*r + 2*n = r + 172, 0 = 2*n + y. Let w be (-4)\/(-1*1\/4). What is the greatest common divisor of r and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = -0. Let f = -9112\/55 - -1\/165. Let v = f + 164. Is k > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*j**2 + 218*j**2 + 161*j**2 + 271*j**2 in the form c + t*j**2 + h*j and give t.\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -8\/13 (c) -32\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.730885t?\nAnswer: 730885000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldwldllwllyllldl. Give prob of picking 1 l and 1 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6*s + 1214 = -3*s, -1216 = -2*i - 2*s. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/12 + 35*y**4\/3 - 290*y**3\/3 + 236*y**2 - 5. Solve i(o) = 0.\nAnswer: -58, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1057810 divided by 1027.\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -295 + 8*n - 468 - 10*n to the form q*n + j and give j.\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3 + 184*p - p**2 + 26 - 186*p. Let j be y(0). Suppose 0 = -2*g + u + 115 + j, -2*g - 2*u + 144 = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 20 (b) 2.5 (c) 3 (d) 2\/11 (e) -338\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182268 by -498.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/6 (b) -663\/7 (c) -0.1 (d) 4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/21 - -3 - (-3 - -11)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-5)\/m*m**(1\/9)*(m**(9\/2)\/m)\/(m*m\/(m*m**(2\/19))) assuming m is positive.\nAnswer: m**(-781\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5*-1*sqrt(343) - sqrt(343)) + sqrt(343))**2 + sqrt(343) + -6*(sqrt(175) + (sqrt(175) + sqrt(175) + 0)**2) + 2.\nAnswer: -23*sqrt(7) + 4381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4 and 34\/37.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/3 + 7776896*h\/3 - 15553808\/3.\nAnswer: 4*(h - 2)*(h + 1944226)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -289.994 and 2.\nAnswer: -579.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 8*i - 348580 = -4*a, 261455 = 3*a - 2*i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -130362746?\nAnswer: 130362750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170296 is divided by 966?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22021021121 - 120?\nAnswer: -22021022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.25779441 rounded to two decimal places?\nAnswer: 22.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 0 - (-33 - 69). Suppose 0*k - 4*k = -2*g - p, 0 = 4*g. Suppose -6 = m - 3*m. What is the greatest common factor of m and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000257 to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**3 + 7*z**2 + z + 5. Let a be t(6). Is 6 a factor of (a\/(-76))\/(1\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*y - 29*y - 10. Let w = -0.17 - 0.53. Let h = 0.3 - w. Which is greater: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1120*k - 2939. Let f be d(8). Calculate the greatest common factor of f and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + 1 - -7 - (-113 - -112))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + 5 + (sqrt(117)*3 + 2 - (3 + sqrt(117)*3)**2)).\nAnswer: 45*sqrt(13) + 1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x - 74. Let s be d(-61). Which is smaller: 471 or s?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = r - x, -4*r = x + 4 - 20. Calculate the least common multiple of 3 and (r\/(15\/48))\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 279*j + 72295 - 72295 - 72*j. Let k(t) = -19*t**2. What is a(k(h))?\nAnswer: -3933*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242 - 2001 = -4*g - z, 4*z + 227 = -3*g + 9*z + 75 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24106757 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 514\/3, -4\/3, -0.0532?\nAnswer: 514\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/3 (b) 26\/5 (c) 10 (d) -0.3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13264 - 11127*y + 2210*y - 13264 as i*y + q and give i.\nAnswer: -8917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*-2 + -4. Let c be ((-124)\/4 - -1)*z. Calculate the remainder when 94 is divided by 12\/15*(c - 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9048 divided by 4.\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c + 8. Let x be -2 - -3 - (-39)\/1. Let i(p) = p - 1. Give x*i(q) + 5*w(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 13*i + 5 = 0, -5*i + 495 = -5*o - 545 + 965 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - r + 7*r)*(-4 + 0 + 1) + 7 - 5*r + 2 - 7 as p + h*r and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6210 divided by 30?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**6\/24 - r**5\/2 - 5*r**4\/2 - 20*r**3\/3 - 10*r**2 - 8*r + 5. Factor a(q).\nAnswer: -(q + 2)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16255 and 566935388.\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(117) - (sqrt(117)*2 + sqrt(117) - sqrt(117)) - sqrt(117))\/sqrt(9) + ((1 + sqrt(117))**2 - sqrt(13)).\nAnswer: 4*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**4\/3 + r**3\/3 - r**2 + 4*r. Solve z(a) = 0 for a.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)*16\/2. Let k = y - -5. Calculate the common denominator of -21\/10 and (75\/126 - 1)*k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4171034*q - 41 - 9 - 4171034*q - q**3.\nAnswer: -q**3 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.01, 2\/9, -22671, -0.39?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -43. Which is the second smallest value? (a) 0.5 (b) v (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 78 + (200\/(-20) - -23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3901?\nAnswer: 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 2 + 18 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.06 + 19. Let b = -3.94 + d. Put b, -0.2, 0.2, -5 in ascending order.\nAnswer: -5, b, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -12. Suppose w = 2*q - 1 + 4, -4*w = 3*q - 12. Suppose 5*i - 4*j + 13 = 4*i, w*i = 3*j - 3. Solve i*p + 2 - 1 = z*t, t + p = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86.412 and 22.5?\nAnswer: 1944.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Let a(k) be the second derivative of -1\/12*k**4 + 1\/10*k**5 + 0 + n*k**2 - k + 0*k**3. What is the third derivative of a(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009 times 0.045313?\nAnswer: -0.0000407817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -82126 and 27815.\nAnswer: -54311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2*n - 1)*(2 + 2 - 3)*(0 + 3 - 5).\nAnswer: 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132)*5 + ((sqrt(132) - sqrt(132)*-1) + sqrt(132) + sqrt(132))*-5 + sqrt(132) + sqrt(132))\/(sqrt(576)\/(sqrt(12)*1)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -530248.41 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -237, -953, -2147, -3819?\n\"Answer: -239*d**2 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1232\/8008 + (-1)\/3 + (-12682)\/(-39). Calculate the greatest common factor of 494 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -521 - -176687?\nAnswer: 176166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 937067746 divided by -2\nAnswer: -468533873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3 - 1666*b**2 + 86*b + 34.\nAnswer: -12*b - 3332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -2*m + 27, -m + 5*u - 2 = 0. Let s = m + 31. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:26 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 + 14*n**2 - 5*n + 30. Let c be i(-20). What is c rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187297 divided by 1\nAnswer: -187297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*u + 7*u - 105, 0 = u - 4*g - 20. Let h(b) = 5*b**3 + b - 1. Let w be h(1). Let r = u + w. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588\/(-539) - 4386\/1122?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4641*k + 23195. Give o(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(132)\/sqrt(432)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 23736102.\nAnswer: -17\/23736102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -4*o - 2*v - 5, 2*v = 2*o + 26. Let q be o\/6 + (1 - 3\/(-3)). Put 2, -13, 5, q in decreasing order.\nAnswer: 5, 2, q, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/7))\/y*y**(-4))\/(y**(1\/4)*y)**(2\/37) assuming y is positive.\nAnswer: y**(-2181\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-4)\/(1 - -3). Let v(b) = -b - 1. Let x(j) = -3*j + 2. Let p(y) = f*v(y) + x(y). Differentiate p(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 63. Let n be g(-39). Solve -13*w = -n*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -5*t**3\/3 + 3*t. Let v(l) = 0*l + l - 2*l. What is j(v(b))?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/4 (b) -5 (c) 37 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 91*v**2\/2 - 7255*v\/4 + 7623\/2.\nAnswer: -(v - 2)*(v + 63)*(v + 121)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 = -2*v - 4, -4*n + 4 = -5*v. List the prime factors of 384\/n + (1 - -1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 87 (b) -7005 (c) -2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - (-21)\/3 - (0 + -15). What is the highest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7652\/29 + -264. Is -1 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Suppose 2*d + 3*d = -15. Let f = d - u. Sort 2, f, 5 in descending order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213642 (base 9) to base 13.\nAnswer: -45c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmmmmimmmmmiiixi. Give prob of sequence iix.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 9234?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9)**(1\/35)\/(z\/((z\/(z*z*((z\/(((z**(-2\/9)*z)\/z)\/z))\/z)\/z))\/z)*z*z)**(-4\/11) assuming z is positive.\nAnswer: z**(7471\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(15) + sqrt(15) + sqrt(30)\/sqrt(2)*-3)\/(1*sqrt(180) - sqrt(5) - (sqrt(405)*3 - sqrt(405))).\nAnswer: -16*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2012 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1\/1)*-4. Let o = -2 - r. Suppose -3*x = -o*x + 1210000. What is x rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1184548 divided by 2\nAnswer: -592274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-9) - -3)*6\/(-4)*(-1194 + 1221)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(-2) - 2\/4. Suppose -h*d = -2*d - 54. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000894411 to 7 dps.\nAnswer: 0.0008944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f - 4 + 4)*(-79251*f + 426*f**2 + 79251*f) + 1 - f**3 - 1 to y*f**3 + p + l*f**2 + d*f and give y.\nAnswer: -2557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 23 = -20*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from mjm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-9702)\/(-55))\/((-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -73, 5, 4, 1704, -3 in ascending order.\nAnswer: -73, -3, -1, 4, 5, 6, 1704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -eb (base 15) to base 3.\nAnswer: -22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5866, -5847, -5828?\nAnswer: -5809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*37.1.\nAnswer: -37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 2608952*k**2 + 1701660243525*k - 3403310051250.\nAnswer: (k - 1304475)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2342\/9 + 2\/9*o**2 + 260*o.\nAnswer: 2*(o - 1)*(o + 1171)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:56 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -1\/3*c**3 + 0*c**2 + 13\/20*c**5 - 17*c + 0 + 1\/4*c**4. Is 4 a factor of y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 15 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(-115 + 115 - 21*i**2).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -16*l + 31. Let y be l - 0\/((1 + -2)\/1). Sort -3, 59, -5, y in increasing order.\nAnswer: -5, -3, y, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let o = 0.5 - 0.61. Let w = o - -0.03. Is h less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, and 2 t when four letters picked without replacement from {b: 1, s: 1, g: 4, r: 1, t: 3, q: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*z + 16 = -116*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.64 - 0.04. Let l = j - 2.6. Let o = -25 - -24. Which is the third biggest value? (a) l (b) 2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let v = 5 + z. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqjjwjjaajjvqvq. What is prob of picking 1 a and 3 q?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20400, -40798, -61196, -81594?\nAnswer: -101992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 2*j**3 + 2*j**2 - j**3)*(-320*j**2 - 314*j**2 + 645*j**2).\nAnswer: 11*j**5 + 22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/5*o**3 - 3*o**4 + 0 + 3*o**2 - 12\/5*o + 3\/5*o**5 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82386780 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*a + 3*a - 24372 = 0, 2*d + a - 9753 = 0. What are the prime factors of d?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-174)\/45 + (3 - 1 - -2). Is 0 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 210\/11 (b) -1 (c) 1.5 (d) -4 (e) 1 (f) -0.5 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1852 - 694 + 855 = -183*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63d3 - 688?\nAnswer: 5c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 4 (b) 2\/11 (c) 4\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -217345, 307.\nAnswer: -217345, -1, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 211?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2019498, 2019507, 2019520, 2019537, 2019558, 2019583, 2019612?\n\"Answer: 2*p**2 + 3*p + 2019493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255)\/19890*12\/2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 44. Suppose -r - 3 = -4*j - 0*r, -2*j - 4*r + 6 = 0. Suppose -g + j = -p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2978\/18607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bviz when four letters picked without replacement from {p: 2, i: 3, v: 1, b: 4, z: 1, u: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34633 minus -0.01?\nAnswer: -34632.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 10*f + 7*f + 16 = 0, -22 = 4*d - 3*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7191)\/564)\/((-93)\/(-220) + 174\/(-638)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbnddddbdnbn. What is prob of picking 4 d?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b3c - 1?\nAnswer: -2b3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*s + 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b6980 + 15?\nAnswer: 5b6995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -35*c - 166. What is u(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 32*f - 21. Determine u(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/18*(1 - -2). Let b be (-143)\/(-2)*(i - 1). Let z = b - -230. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 65226?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(10)*-2*-4)**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 - 60*o**2 - 79*o**2 + o**2 - 1 + 1 + (2*o - 2 + 2)*(o - o + 2*o) + 0*o**2 - 4*o**2 + 2*o**2.\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 572 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 5666 - (-7 + 8). Let w = 10063 + z. Suppose -j + w = 5*l, 3*l + 4*j = 2*l + 891. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18106257?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1555*c**3*r**3 - 6*c**3*r**2 + 8919*c**3*r + 2*c**2*r + c*r + 27*r**3 - r**2 wrt r?\nAnswer: 9330*c**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -6.9, 143, 0.2, -125?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -m + 8, -11 = 3*m - v - 48. Solve 7*j = m + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12079.45 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -237 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 29*g**2 - 15*g - 16. Let c be j(-14). What is the hundreds digit of ((c - -3) + -7)*-26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 37*u**6\/30 - 41*u**2\/2 + 27*u - 11. Let o(i) be the first derivative of r(i). What is the derivative of o(h) wrt h?\nAnswer: 148*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1 (b) -4 (c) 7 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/12*1*1\/(-2). Let r(x) be the second derivative of o*x**3 - 4*x + 3\/10*x**5 + 0*x**2 + 1\/15*x**6 + 1\/2*x**4 + 0. Let r(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 + 8. Let r(x) = 7*x + 6*x + 0*x - x. Calculate r(v(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182287.\nAnswer: 7, 26041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/16982 and 23\/84910.\nAnswer: 84910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131.5493989 + -131.55. Round g to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92780 from -0.012.\nAnswer: -92780.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12) + (-4020)\/(-288) + -13.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*h**2 + 0)*(-32179 - 32745 + 65713)*(-3 + 5 - 1)*(3 + 0 - 4).\nAnswer: 1578*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-619)\/(-11142))\/((-2)\/(-108)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 - 79\/(-300). Let j = -3\/25 - p. Let a = 0.25 - -0.05. What is the third smallest value in j, a, -0.9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 78*n - 650. Suppose -89*o = -88*o - 14. Let d(z) = 6*z**2 - 237*z + 1951. Let x(u) = o*k(u) + 4*d(u). Factor x(p).\nAnswer: -4*(p - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/126 and -65\/55942323.\nAnswer: 2349577566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441124621?\nAnswer: 7, 431, 146213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 61013.52 millilitres in litres?\nAnswer: 61.01352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 4*t + 224. What is the second derivative of -3*f**4 - 18*f**2 - 190*f + t*f + 42*f + 43*f wrt f?\nAnswer: -36*f**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 6)*(2*n + 0*n + 0*n)*(-2 + 2 - 11*n - n**3) in the form g*n + z*n**3 + u*n**2 + m*n**4 + v and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (-3 + (-3 - -9)). Let l be (-3 - -30)\/u + 3. Let z(g) = -24*g. Let k be z(-4). What is the highest common divisor of l and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 268136, -1, -3.49, -1\/5, -3 in ascending order.\nAnswer: -3.49, -3, -1, -1\/5, 268136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d32dd (base 16) in base 5?\nAnswer: -1224242031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 14 - 7*j - 10)*(-j**2 + 3*j**2 - 5*j**2) + j + 35*j**3 - 37*j**3 + j to k*j + n*j**2 + x*j**3 + a and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**4 - 3965*b**3 + 3965*b**3 - 125*b**2 - 2*b - 47*b**5 wrt b.\nAnswer: -2820*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203\/189*-3 + (2 - -1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1548*350\/2520*((-36)\/(-15))\/(-4).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 5. Suppose n*r - 334 = 821. Suppose -2*q + 5 = -q, -4*c + r = -q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304213061.\nAnswer: 71, 173, 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36.19 + 36. Let o = q - -0.73. Let b = 0.613 - o. What is b rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9*n**2 - 1016*n + 27160. Give z(43).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-2)\/((-128)\/(-24))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5596, 0.2, 0.00443, 0.1 in ascending order.\nAnswer: 0.00443, 0.1, 0.2, 0.5596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 2*k**3 + 2*k**2 + (-5*k**2 + 4*k**2 + 3*k**2)*(-2*k + 0 + 0) + 0*k**3 - k**3 - k**3 + 111*k**3 - 21*k**3 + 179*k**3 + 66*k**3.\nAnswer: 331*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94474570.\nAnswer: 2, 5, 23, 410759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 3*l - 16, -3*q - 30 = 3*l - 45 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**7\/7 - z**3\/6 + z**2 - z + 2. What is the second derivative of w(t) wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4\/4 - 625755*p**3\/8 - 12236502141*p**2\/2 + 24473160721*p\/8 = 0.\nAnswer: -156439, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k + 145 = -14*k, -146*a + 145*a = -k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161249 by 107.\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4 - 190*d**3 + 2558*d**2 - 2370*d = 0.\nAnswer: 0, 1, 15, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.06 (b) 26 (c) -4\/7 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 8 - 7 - 1.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0327 and -24?\nAnswer: 0.7848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -17.91.\nAnswer: -14.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 197747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*z - 16 = 0, -4*z + 61 = 3*m + 2*m. Let r(h) = -m*h + 35*h**2 + 26*h - 14*h - 2. Is r(1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) -2.96 (c) 0.1 (d) -0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -411, -2 in decreasing order.\nAnswer: -2, -4, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5169779 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6751246 to the nearest integer?\nAnswer: 2598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 + 1.29. Let d = h + -1. Let x = 0 + d. Which is the closest to 0? (a) x (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*w + 58 = 0, -4*b + 40 - 99 = -3*w. Let l(j) = -j**2 - 15*j - 6. What is the units digit of l(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.007 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12936, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 10:28 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 497469541 to the power of 1\/2, to the nearest integer?\nAnswer: 22304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -34650*p - 626\/7*p**3 - 6\/7*p**4 - 3090*p**2 + 24500 = 0.\nAnswer: -35, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4581 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12686 (base 9) to base 7\nAnswer: 34011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p\/(p*(p**(1\/2)*p)\/p)*p)\/p*p*(p*p\/(p\/p**(2\/13)))\/p*p*(p\/(p**4*p))\/(p\/(p**(-3\/7)*p)) assuming p is positive.\nAnswer: p**(-323\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 744 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**20\/((z*z**(-2))\/z*z*z\/(z*z\/(z*z**(-6)*z))*z) assuming z is positive.\nAnswer: z**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5\/6 + 65*q**4\/2 - 313*q**3 + 2602*q**2\/3 - 740*q = 0.\nAnswer: 0, 2, 6, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024303805 rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100323003 (base 6) in base 10?\nAnswer: -1706187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11943 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000006232 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 + 12\/9)\/((-4)\/(-108)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33025\/6 - 743089\/135. What is the common denominator of -41\/90 and l?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1626, 2, 34, -1\/5.\nAnswer: -0.4, -1\/5, 2, 34, 1626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:03 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -596 - -1022. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s**2 + 3*s + 5. Let a(g) = -g**3 + 7*g**2 + 3*g + 6. Let m(d) = 3*a(d) - 4*u(d). Let n(v) = -3*v**3 - 4*v**2 - 4*v - 3. Determine -4*m(b) + 3*n(b).\nAnswer: 3*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 9, 4\/3 in decreasing order.\nAnswer: 9, 4\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g + 62. What is x(10)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/63 and 5\/19674?\nAnswer: 137718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*d + 300 = 17*d + 815. Solve d*n = -3*j - 34, j + 174*n - 178*n = 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 + 80 - 19*h in the form u*h + d and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3 - 14*a + 33*a - 12*a**2 + 16 - 8 - 12*a. Let h(g) = g**2 + g + 1. What is -6*h(v) + o(v)?\nAnswer: -18*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20310 (base 4) to base 12\nAnswer: 3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5062*y + 271870*y + 13620*y.\nAnswer: 290552*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/8 + 1005*t**2\/8 - 4477*t = 0.\nAnswer: 0, 37, 968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 361285126 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 196009237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0259 + 9735.\nAnswer: 9735.0259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 10*g**2 - 16*g - 8. Let w = -17 - -16. Let r(p) be the first derivative of -p**4\/4 + 2. Let b(x) = w*h(x) - r(x). Factor b(l).\nAnswer: 2*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 11) in base 3?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/298 and -25\/960752.\nAnswer: 960752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5\/2 - 6*w**4 + 35*w**3\/2 - 12*w**2 = 0?\nAnswer: 0, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-3)*(-6638)\/(-26552)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -14*r + 2. Determine z(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1331 - -10?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/443 in -6.98, -3\/4, -18?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 5 = 0. Let f(i) be the second derivative of i**3\/6 + i**2\/2 + 2*i. What is f(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 9:22 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -638*q + 780*q - 333700 = 0. Is q a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 7:53 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let k(v) = -v**2 - 6. Let h(g) = -4*g**2 - g - 13. Let f(t) = -h(t) + 2*k(t). Calculate -f(s) - 3*n(s).\nAnswer: -2*s**2 - 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -239 (b) 0.2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1192851\/85 in 5, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -111, -223, -317, -387, -427, -431, -393?\n\"Answer: b**3 + 3*b**2 - 128*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -343*y. Let r(g) be the third derivative of g**7\/5040 - 11*g**5\/60 + 5*g**3\/6 + 2*g**2 - 13. Let w(l) be the third derivative of r(l). Give w(z(u)).\nAnswer: -343*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.953 or 61.3?\nAnswer: -3.953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -27, -25, -7, 33, 101, 203, 345?\n\"Answer: q**3 - q**2 - 12*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g + 25 + 47 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, a: 1, g: 1, m: 1}. What is prob of picking 2 g, 1 m, and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a factor of 11209972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250016.8972 minus 9?\nAnswer: 4250007.8972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 22*o + 75. Let y be r(23). Let f = 102 - y. What is the lowest common multiple of f and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*v + 209*v + 768 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h*h**8*h))*h)**(-21)*((h*(h*h**(4\/11))\/h*h)\/h)**(1\/16) assuming h is positive.\nAnswer: h**(-48033\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4083656135?\nAnswer: 5, 13, 73, 860623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(8\/9))**(-8\/7) assuming p is positive.\nAnswer: p**(-64\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13855? (a) 12\/7 (b) 1\/4 (c) -1\/4 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**3 + 11*v**2 + 4*v - 11. Let g(u) = -u**3 - u**2 + u + 1. Let j(n) = 20*g(n) - 4*t(n). Suppose j(m) = 0. Calculate m.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89423\/110 - -4049\/5. Let v be (-20*(-6)\/15)\/(10\/(-320)). Calculate the common denominator of u and 2116\/v + 21 + -12.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 21105294*g - 168842224.\nAnswer: -2*(g - 10552639)*(g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a centimeter in millimeters?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3 - 7 + 2. Let b(l) be the second derivative of l**4\/12 - l**3\/6 - l**2\/2 + 5*l. Let x(n) = 2*b(n) - f(n). Determine x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-45) - 6\/27. Let n = 2 + -1. Suppose x - 19 = 4*z, x + 2*z = 5*z + 14. Put x, n, i in increasing order.\nAnswer: x, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -14, 3, 5 in ascending order.\nAnswer: -14, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1455 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(24108\/(-18)))\/(1084\/(-30352))?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*z**2 - 271*z**2 + 145*z**2 + 576*z to the form d + p*z + l*z**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226.55532 - 11581.051.\nAnswer: -11807.60632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -725 + 740.01. Let w = 15 - s. Let m = -2 - -1.9. Which is the second biggest value? (a) -5 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or 17?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.80573 - -0.15643. Round g to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j = -16*j - 36, -b - 2*b - j + 2 = -19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 5, s: 5}. What is prob of picking 3 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.7 - 7. Let c = -16.18 + 16.38. Sort c, v, 0.1 in decreasing order.\nAnswer: c, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*i + 195 = 318*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200) + sqrt(200) + 5)**2.\nAnswer: 160*sqrt(2) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*sqrt(1300)*2)**2.\nAnswer: 748800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 12. Suppose -4*x - 20 = -b, -b - j*x - 2 = -1. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 3. Let s = -15 - -10. Let w be t(s). Solve w*g - 2 - 4 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.40589 to 2 dps.\nAnswer: -20.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4 + 4*g**2 + 5*g + 1 + g**3 - 3*g. Let j be s(-3). Sort 5, -3, j.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437072011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 121.\nAnswer: -105\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 7*v - 8. Let d be y(-6). Let q be 2\/(d - 0) + -29. Let r = 69 + q. Calculate the remainder when r is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50136 divided by 12534\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74661834 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4)\/(8\/16) - -11. Solve j*m = -10 - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -17291?\nAnswer: 17287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**3 - q**2 + 11*q + 19. Give r(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -831.8271\nAnswer: 831.8271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*n + 3)*(34 + 15 + 90) to h + q*n and give q.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 51 = -3*j, 3*o - j - 143 = -0*j. Suppose -2*h - o = -3*l, 20 = 3*l - 2*l - 2*h. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.0125 - -0.0125. What is the nearest to v in 0.3, 10, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -11*k**5\/30 - 2*k**2. Let a(f) = 33*f**2 - 81*f**2 + 35*f**2 + 25*f**2 - 4*f**2. What is a(i(v))?\nAnswer: 3872*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 48. Sort 0.5, 4, -8, a in descending order.\nAnswer: 4, 0.5, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 860*t - 23. Let v be w(-5). Let m = v - -142742\/33. Let n = -5675 - -204253\/36. Calculate the common denominator of m and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(6\/5))**(-3\/25)*(g**17)**(2\/33))**(-1\/75) assuming g is positive.\nAnswer: g**(-3656\/309375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 - 11 - -1*(-2 - 0). Solve k = -5*y + y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i**3 - 7*i. Let p(s) = -4*s**3 - 2*s. Give 22*p(a) - 6*t(a).\nAnswer: 2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.025 - -0.0489. What is f rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17135 + 17171. Is u greater than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 20 + 62 = 2*j, -k + 116 = 3*j. Let w = -12 + j. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000994570033 rounded to 7 decimal places?\nAnswer: -0.0000995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2429448 divided by 607362\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*x - 4*l - 28, 5*x - 30 = 2*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -258, -252, -230, -186, -114?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -58\/23?\nAnswer: -58\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 - 2195*j**4 + 38325*j**3 - 183325*j**2 + 79270*j + 303120 = 0.\nAnswer: -1, 2, 8, 9, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 2.4\nAnswer: -55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -56121 (base 8) in base 16?\nAnswer: -5c51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**7\/840 - z**6\/60 + z**5\/60 + 7*z**4\/24 + 25*z**3\/6 + 17*z**2. Let l(f) be the first derivative of b(f). Calculate l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*o**3 - 8\/7*o**2 + 0*o.\nAnswer: 2*o**2*(o - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 59*k + 60. Calculate h(28).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 975 = -5*u + 953, 0 = 5*u + 5*y - 1940. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 * -1172\nAnswer: 58600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 137955.42 to the nearest 1000.\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - 4*c**3 + 4*c**3 + 2*c**3 + 2*c**3 - 6*c**3 + (c - 3 + 3)*(0*c**2 - c**2 - c**2) - 6*c**3 + 4*c**3 - 2*c**3 + 14*c**3 - 10*c**3 + 67*c**3.\nAnswer: 62*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -166297763 + -68.6644\nAnswer: -166297831.6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 11 - 23 + 5 + 7.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1986 and 71\/16308.\nAnswer: 5397948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -21*a**2 + 4*a - 16. Let m(l) = 1067*l + 1063*l - 2*l**2 + l**2 - 2130*l. What is b(m(p))?\nAnswer: -21*p**4 - 4*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.58636282 - -0.58529. Round w to 5 decimal places.\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592662, 592703, 592768, 592857?\nAnswer: 592970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t. Let j(g) = g + 1. Let n = 8 + -7. Suppose 2*h + 18 = 4*f, 0 = 2*h - f + 2 + 1. What is h*j(l) + n*b(l)?\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-10)\/(-6)*-3. Let p be 1\/((-1)\/36*w). Let g be (-8)\/(-12) + 21296\/p. What is g rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -0.36, 0, -0.0219, -2 in decreasing order.\nAnswer: 0, -0.0219, -0.36, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -780 in 5, 303, 36, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 762*g**2. Let k(l) = 2*l - 2. What is w(k(h))?\nAnswer: 3048*h**2 - 6096*h + 3048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 0.19, 22174.3, -4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 36 = -11*b. Solve -2*p = b*k + 24, -k = -2*p - p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 33. Let r be t(-15). Suppose -7*d + r = -9. Let b(h) = 8*h**2 - d*h**2 - 4*h**2 + 4 + 2*h. What is b(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 0*p + 25 - 2*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -3, -1\/2, 26\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925*g + 0*g + 108*g.\nAnswer: 1033*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 139810 and 31.\nAnswer: 139810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.83 - 7.3. Let b = p + -0.23. Let u = 4 + -9. What is the second biggest value in b, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4\/9 - 1859*n**3\/9 + 7447*n**2\/9 - 9313*n\/9 + 414 = 0.\nAnswer: -1863, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a + 30 = 0. Calculate the smallest common multiple of a and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1954 - 1176 + 4166 = -285*c - 2466 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 958 and 549152.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)*(-8 - 17354591). Let k = n - -35337636. Suppose -k = -5*c + 1516963. Round c to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 13*q = -5*x + 23, 6 = -3*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73603*n**4 - 593605*n**2 wrt n?\nAnswer: 1766472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8558208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 7. Let c(l) = 2*l - 3. Let z be c(a). Solve -3*j - z - 5 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12 = 4*z, 5*z - 4 + 16 = -4*u. Suppose -2 = u*p - 10. Let j be p\/2*2\/1. Solve 12 = -j*m, 2*c - 15 = 6*m - m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(3*m - 3*m + m) - 2*m + m + 0*m - 9*m + 14*m + 2*m)*(2*m**4 + m**4 - 4*m**4).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18504.999990813 + 18505. What is i rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g + 3. Let h = 99 - 64. What is the remainder when h is divided by l(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-3) - -8 - -45. What is the derivative of 31 + 35*a + 4 + j*a - 22 wrt a?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8 - 2*l**2 - 3 + 7 + 5*l - 2. Let t be w(3). Let k be (t\/(-3)*1)\/(-1). Sort 1, k, 0 in ascending order.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89580359 to the power of 1\/2, to the nearest integer?\nAnswer: 9465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/80 and -143\/900.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45\/21761 or -1?\nAnswer: -45\/21761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 3*y**2 + 2*y**2)*(-92 + 43 + 29)*(-2 + 1 - 1).\nAnswer: 80*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2133622087 and 8443?\nAnswer: 8443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**3\/2 - 14*j**2 + 25*j. What is the derivative of l(t) wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (82 - 2)*(-5 + 108\/20). Suppose -506 = -t*v + 1126. Calculate the greatest common factor of 9 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 35 = 5*o, w - 4*o - 31 = -9. Suppose 2*c - w = 6. Let n = 22\/15 + -133\/60. What is the closest to 1 in c, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7, -23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, 0.034, -2\/5?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -97 times -18116\nAnswer: 1757252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (184\/7176)\/((-1)\/6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let o(i) = 5572*i. Calculate h(o(n)).\nAnswer: 62094368*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-138)\/(-176) - (-3030)\/(-3333)) - (2 + -23).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 29*w**3. Let r(s) = -696*s**3. Suppose 12039*u - 12041*u + 12 = 0. Determine u*r(i) + 145*o(i).\nAnswer: 29*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5524980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(-1)\/b*b)**33)**(-1\/2)\/((b\/(b**(-1)\/b)*b**(-2)\/b)\/(b**(-2\/15)\/(b*b**5*b))) assuming b is positive.\nAnswer: b**(-602\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 18*z + 47. Suppose -20 = 26*g - 27*g. What is the units digit of o(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3566?\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4535994378.\nAnswer: 2, 3, 755999063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604, 1062, 1668, 2422?\nAnswer: 3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(3087) + 5 + -4 + sqrt(63) + sqrt(63) - ((2*sqrt(126))\/sqrt(2) - (sqrt(63) + sqrt(2268)*-1)))**2.\nAnswer: 180*sqrt(7) + 56701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 813 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 363*t**3 - 10*t**2 + 36*t + 133*t - 362*t**3 + 6*t**2 + 2*t**2 to the form d + i*t + g*t**2 + m*t**3 and give i.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9141542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -3*q**5\/40 + 3*q**4\/8 + q**3 + 23*q - 15. Let g(l) be the first derivative of a(l). Factor g(c).\nAnswer: -3*c*(c - 4)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1170 = 3*k - 43707, -8501 = q + k. Let z = -11813 + 19308. Let s = z - q. Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66064466 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 41015.\nAnswer: -41014.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255161, 255164, 255163, 255152, 255125?\nAnswer: 255076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 + 13185321.\nAnswer: 13185531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102 + -201120?\nAnswer: -122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8744*m - 1897481. What is b(-217)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2 = -10. Suppose -17*j = -m*j - 840. Suppose -57*z + j*z = -45. What is the highest common factor of z and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 - 23*q**2 - 44*q + 10. What is the remainder when 165 is divided by p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s = 47*s - 2064 - 3032 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from soocgooooocosssogcs. Give prob of picking 1 c, 1 o, and 1 g.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 7*t - 5. Let c be h(-2). Suppose c = -2*l + 51. Suppose i + 21 = l. Solve -i*m - 18 = -2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -257, -313, -343, -341, -301, -217?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -109.194001 to two decimal places.\nAnswer: -109.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410631?\nAnswer: 3, 13, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 248.4104um?\nAnswer: 0.02484104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-12)*(6 - 220). Is -107 != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.298 + -0.248. Put 1, -5\/2, j, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, j, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (176\/110)\/(2\/5). Suppose 3*l - 10211 = b*w, 0*l + 2*l - 6798 = -2*w. What is the third derivative of -t**2 - l*t**4 + 3401*t**4 - 24*t**5 wrt t?\nAnswer: -1440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2\/7 (b) 2\/13 (c) 0.5 (d) 47 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1482219 to the nearest ten thousand.\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 6:00 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5.1, -3, -29, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g**3 + 41*g**3 + 66*g**3.\nAnswer: 74*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 - -14?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 57*d**2 + 128*d - 830. Determine x(55).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, d: 8, f: 1}. Give prob of picking 2 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 294259.6476326 minus 33?\nAnswer: 294226.6476326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q - 5 = i, 3*q - 2*i = 0. Let g be (8\/24)\/(q\/(-9)). Which is the closest to 0.1? (a) 2 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 5)*(-15*u**2 + 235 - 235).\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15315 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (723\/(-2))\/(-15*(-7)\/(-1120))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3033416 is divided by 7879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - h - 13 = -2*h, 3*h = 3*y + 3. Let v = y - 1. Solve 21 = -5*i - v*m, -2*i + m = 3*i + 27 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 346 - 71. Suppose 0 = -2*g + k + q, 124 = 4*g + g + 2*k. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 8*i - 5. Let h(n) = 6*n - 2. Let q be h(-5). Let o = 26 + q. Determine d(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -u - 18, -u + 2 = -3*v + 15. Suppose 0 = 2*f + f - v*s - 20, 0 = -3*s - 12. Solve -3*p = -12 - f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 18360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9257992?\nAnswer: 2, 37, 31277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 589 - 587. Solve 0 = q + 3*g + 2, 2*q - g = -b*g + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -350, 1, -4, 4, 10.\nAnswer: -350, -4, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 103499540, 206999078, 310498616, 413998154, 517497692?\n\"Answer: 103499538*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.05 + 0.05. What is the nearest to 2\/7 in 2\/11, 2, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 7 = -11. Suppose -4*r + 3*v - 6*v + 12 = 0, -4*v + 16 = j*r. Suppose -3*b + r*b + a + 183 = 0, -a = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from vmrti.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5715\/(-3175))\/((-39)\/(-30) + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*6)\/sqrt(10).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**2 + 48*q**2 - 12*q**2 - 18*q**2 + 29*q to k*q + l + j*q**2 and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 72 = -410 + 14 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = r. Solve 0 = -3*d - r + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -1\/4 (b) 3\/5 (c) -50 (d) 0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*t + d, -4*d + 5 = 3*t - 15. Suppose 7502 = -t*n + 26218. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*c + 13278, -3*o - 4*c + 3362 + 16556 = 0. Is o a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/10 - (6\/10 + -5). Suppose i + 38 - 52 = -5*y, q*i = -3*y + 26. Let j = 2 + 0. Solve -8 = -j*t + i*u, -3*t = -6*t + u - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1454 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 137946535, 137946526, 137946529, 137946550, 137946595, 137946670, 137946781, 137946934?\n\"Answer: g**3 - 16*g + 137946550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3640758 and 4854344.\nAnswer: 14563032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 16) in base 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2719789 rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43378 and 117875?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**5 - 2*o**3 + 2*o**3)*(-3 + 3 - 3)*(5 - 3 - 4).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, k: 4, z: 4, j: 3, y: 3}. Give prob of picking 2 b and 1 k.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15706265 divided by -3141253.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*m - 0*m - 5, 3*m - 3*a = -9. Let r be -3 - (-7 + (m - -1)). Let h = 21 - r. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 - j**3 - 24*j - 3*j**2 + 6*j - 2*j to g*j**3 + u*j**2 + l*j + o and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 7 - 7) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-one quarters of a millennium?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2280, 2818, 3722, 4998, 6652, 8690, 11118, 13942?\n\"Answer: l**3 + 177*l**2 + 2102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/6 (b) -3 (c) 1 (d) -0.834 (e) 0 (f) 0.21 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -77346 * -1\nAnswer: 77346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33\/169 - -367\/1014. Let r(z) be the first derivative of 0*z + q*z**4 - 8 + 0*z**2 + 2\/9*z**3. Factor r(p).\nAnswer: 2*p**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*0.841311.\nAnswer: 0.24398019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 8\/5, -0.05, 1\/17, 6.3 in increasing order.\nAnswer: -1\/7, -0.05, 1\/17, 8\/5, 6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110.08 * 0.7.\nAnswer: 77.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6928958ng to tonnes.\nAnswer: 0.0000000000000006928958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4929424?\nAnswer: 2, 53, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*s - 15*s - 3246879 + 465119 = 0. What is s rounded to the nearest 1000?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.36*186\nAnswer: 66.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (102\/(-30) - -5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -17*x - 12. Let w(f) = 4*f + 3. Suppose -5*a + 0*k = -k - 48, 0 = -a + k + 12. Give a*w(d) + 2*y(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 + 7. Let a(z) = -z**2 - z. What is 2*a(k) + q(k)?\nAnswer: k**2 - 2*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 26*n**3 + 4*n**2 - 4*n - 26. Suppose -8 = -w - 10. Let l(c) = -5*c**3 - c**2 + c + 5. Let a(g) = w*y(g) - 11*l(g). Factor a(d).\nAnswer: 3*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 166514? (a) 0 (b) -2\/7 (c) -6\/7 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 4:05 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/6 + 59*o**2\/2 + 1225*o. Let x(g) = 4*g**2. Determine d(x(j)).\nAnswer: -4*j**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1687, 11454, 5 in descending order.\nAnswer: 11454, 1687, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19.4 (b) 4 (c) -38 (d) -0.33 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3160, 3268, 3446, 3694?\n\"Answer: 35*m**2 + 3*m + 3122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4\/9*f**3 + 2\/9*f**5 - 4\/9*f**4 + 2\/9*f + 8\/9*f**2 - 4\/9 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, n: 1, w: 1, a: 5}. What is prob of picking 2 a and 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45421936.5 and -1?\nAnswer: 45421937.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-3))\/(3\/9). Let l(a) = -a**3 - 10*a**2 + 2*a - 3. Let m be l(z). Let y = m + 156. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -2*f - 110. Let b be f\/((-4)\/(-22) - (-140)\/77). Put 1, b, 10 in ascending order.\nAnswer: b, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4977*l**6*v - 30*l**2*v + 98*v wrt l.\nAnswer: -597240*l**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 72*w + 80. What is the tens digit of m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -572.3 + 572.9. Which is the smallest value? (a) 0.05 (b) n (c) -0.24 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/6 and 109\/516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/25)*t**(-1\/11)*t)\/(t**2)**26 assuming t is positive.\nAnswer: t**(-14028\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 2*d**7\/21 + 4*d**6\/15 - 4*d**5\/5 - 8*d**4\/3 + 143*d + 2. Factor b(s).\nAnswer: 4*s**2*(s - 2)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-32))\/(23*73\/6716).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10811.\nAnswer: 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -3, 1308, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 67 = 5*d, 554*d + 2*a = 555*d + 40 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 994065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/(n**(-3\/4)*n))**(2\/13)*((n**(-3\/7)\/n)\/n*n**(-3))**47 assuming n is positive.\nAnswer: n**(-46555\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 227 = 479 - 21 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*x = 17*x - 102*x - 2860 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15*155\/(-62)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoo when three letters picked without replacement from {h: 1, i: 3, o: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -308, -602, -898, -1196?\n\"Answer: -l**2 - 291*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1220100?\nAnswer: -1220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 61361 divided by 61361\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/7, 159, 1\/240 in increasing order.\nAnswer: 1\/240, 1\/7, 0.5, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + n - 19, 0 = 4*l + l - n - 26. Solve -5*k + 4*a = 2, -k + 5*k = -l*a - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 111.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2572*a - 121152. Calculate f(-47).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 325*n**4\/4 + 43975*n**3\/8 - 28663*n**2 - 467251*n\/2 - 35244 = 0. What is n?\nAnswer: -72, -22\/5, -2\/13, 89\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*s + 41 + 25, 5*s = o + 10. Let m be (-6)\/5 + 32\/o. Factor -5*h**3 - 71\/3*h**m - 8\/3 - 46\/3*h.\nAnswer: -(h + 4)*(3*h + 1)*(5*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - -11?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 2 (c) -2\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*t = 4795 - 986 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 6. Let j be p(-8). Solve 0*b + j = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/2)\/(4\/(-8)). Let l(z) = z**2 + 6*z - 2. Let s be l(m). Find the first derivative of 2*b**3 - s*b**3 + 1 + 2 wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 828359 and 77.\nAnswer: 9111949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7448 - -7448. Solve 4*u - 12 = f, -73 + 62 = -4*y - 5*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, 2, -18 in ascending order.\nAnswer: -18, -4, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 673 (b) -1 (c) 6\/11 (d) -3 (e) 0.2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/((-64)\/(-100))*(-480)\/400?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/(-33))\/1 + (-98)\/(-49). What is l in 2\/11*l**3 + g*l**2 + 2\/11*l**5 + 0 - 6\/11*l**4 - 4\/11*l = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13919221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8397863 millilitres to litres.\nAnswer: 0.0008397863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 - 10 = -3*z, 5 = -2*h + z. Is h smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/6435297 or 0?\nAnswer: -8\/6435297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 526850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.272 + 140.272. Let g = 140.61 - s. Let i = g - 0.21. What is the third smallest value in i, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 16379300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309 - 284. Let u(l) = 2*l**3 - 33*l**2 - 11*l + 10. Let f be u(z). Round f to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - k**2 + 5*k**2)*(3*k + 0*k - 2*k)*(21 - 5*k - 21).\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20101, -80002, -179689, -319162, -498421, -717466?\n\"Answer: -19893*d**2 - 222*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2*(-1)\/(-5)). Find the second derivative of y - 2*y + 2*y**b + 0*y wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41\/4 in -0.5, -78.6, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - 0.03. Let f = -14\/15 + 8\/15. Let p = -8\/5 + 19\/15. Sort j, f, p in descending order.\nAnswer: j, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d - 4*d)*(31*d - 9*d - 13*d - 10).\nAnswer: -9*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12895224 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 0. Solve 4*y - 4 = -4*b, -3*y - 4*b = -f*b + 27 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-6))\/s**(-2\/15))\/(s**9*s*s*s**(-2)) assuming s is positive.\nAnswer: s**(-208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, x: 6}. Give prob of picking 3 k.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -66.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 12:55 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 151, 208, 267, 328, 391?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l - 48. Let t be m(-8). Solve n + 3*n + 28 = 5*f, -2*f - 4*n = t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44154 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4 + sqrt(2736) + sqrt(2736) + 2*sqrt(2736) - sqrt(2736) - (sqrt(2736) + -3 + -2*sqrt(2736))))**2*-4.\nAnswer: -175168 - 1536*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-456)\/(-180))\/(-19) - 2764\/(-30). Suppose r = -12*s + 92. Determine t, given that 0*t - 15\/8*t**5 - 3\/8*t**3 + 3*t**4 - 3\/4*t**2 + s = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.381 + -0.481. Let l = y + -44. What is the nearest to 0.1 in l, 0.14, -4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i. Let v(j) be the first derivative of -j**5\/30 + 2*j**2 + 4. Let h(p) be the second derivative of v(p). Give y(h(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0*m**2 + 1\/36*m**4 + 2\/9*m**3 - 2 + 6*m. Let d(w) = 0. What is w?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017*l = 82*l + 10990 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-55))\/(-23*10\/(-575))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 - 2*y**2 + 0*y**2)*(-y + 0*y - 4*y) + (-2*y**3 + 4*y**3 - 3*y**3)*(161 - 328 - 813) to the form v + p*y + o*y**2 + i*y**3 and give i.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/588 and -23\/882?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.043 and 59856.7.\nAnswer: 2573.8381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4) + -1 + 1 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 289*f + 18928. Calculate c(-55).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 3*q + 21 = 16*c, q = -5*c + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**2 + 4*s**2 - 2*s**2)*(0 + 1 - 2) - 5*s**2 + s + 8*s**2 + s**2 - 3 in the form a*s + m + v*s**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3835, 7694, 11553, 15412, 19271, 23130?\nAnswer: 26989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 1, o: 1, b: 1, s: 2, x: 1}. Give prob of sequence ob.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**2\/2 + 17*u + 3. Let h be k(-15). Solve 6 = h*m - 5*x - 2, -x - 12 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1994*i = -1954*i - 160 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194092 is divided by 398019?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - q**2 + 5*q - 4. Let f be t(3). Suppose -4*g + j = 3*j - 60, -4*j + f = 4*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1347 = -0*w + 3*w, -454 = w + 4*o. Let k = w - -832. Let y = -245 + k. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -19*o - 927. Determine n(-48).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 50. Let x(j) = -2 + l*j - 21*j + 4. Suppose -4*t + 6 = 26, w - 8 = 2*t. What is x(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6395 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j - 406 = -17*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 187\/5 (c) -12 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1264626*y**4 + 1236956*y wrt y?\nAnswer: -15175512*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 + 4*r**3 - 22*r**3 + 12*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 7, -1\/7, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*d + 29*d - 181*d - 27552 = 0 for d.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -30*l**2 - 5*l - 3. Let u(k) = 10*k**2 + 2*k + 1. Let g be -3*1*(-5 + 18 + -14). Determine g*j(h) + 8*u(h).\nAnswer: -10*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + v = 37894, -5*d + 44969 - 7076 = 2*v. What are the prime factors of d?\nAnswer: 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 + (11 - 147) + (1 - (14 - 0))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 62. Let q be 0 + p\/3 - 2. Is 4\/49 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34723 is divided by 11324.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397384?\nAnswer: 2, 174673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1 - 2*a + 7*a**2 + 0*a**2 + 4*a**2. Let j be x(-1). Suppose -4378254 + 4380256 = 182*u. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - 336\/(-7))*9\/(18\/28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m**3 + 2*m - 4. Let c be v(4). Suppose 2*b + s = c, -2*s + 364 = 2*b - 986. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 63*w**2 - 877*w - 18. What is a(14)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d + 2. Suppose -4*o - i - i = -78, 0 = 4*i - 4. Suppose -2*p + 4 - 3 = 3*k, 0 = 3*k - 2*p + o. Let f = -5 - k. Give c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19132, 735, 4 in ascending order.\nAnswer: 4, 735, 19132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((0 - (-12)\/9) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 + 173\/(-9). Let h = k - -27. Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*a = 319, -161 = 4*t - 6*t - a. Let r = t + -569\/7. Is r not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -5.08.\nAnswer: -4.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 203*y - 35338. Calculate q(174).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 591813831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 287, 1125, 2523, 4481?\n\"Answer: 280*b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1869, 1856, 1829, 1782, 1709, 1604?\nAnswer: 1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155?\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(12)\/sqrt(3)))\/(sqrt(480)\/sqrt(6)) - ((5 + sqrt(18))*5 + 5)) + 0.\nAnswer: -30 - 59*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -1951183.\nAnswer: 390236.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:17 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -49 - (-10 + (11 - 5)). Let q(r) = -6*r - 10. Calculate the remainder when q(-7) is divided by l\/6*(-8)\/20 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401815.\nAnswer: 5, 80363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 73*i - 2387. What is c(47)?\nAnswer: -3609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 101 - u + 2*u**2 + 133.\nAnswer: 2*u**2 - 2*u + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b9875 (base 12) in base 10?\nAnswer: 742553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6184 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -56*i**2 - 21*i - 797. Let q(r) = 206*r**2 + 76*r + 2923. Calculate -29*n(o) - 8*q(o).\nAnswer: -24*o**2 + o - 271","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 263, 594, 1057, 1652?\nAnswer: 2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2. Suppose l + 3 = 5, -3*z = 2*l - 10. Let a(v) = 11*v**z + 21*v - 11*v - 10*v. Give w(a(i)).\nAnswer: 242*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 11109\nAnswer: 8\/11109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1145 = -3195. Find the first derivative of -1 + 805*i**3 + 27 + 50 - a*i**3 wrt i.\nAnswer: -189*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= 184\/1583861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1 - c**2 + 231*c - 161*c - 68*c. Let i(m) = m**3 - 3*m**2 - 1. Let h be i(3). What is y(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 9*a - 1. Let w be y(5). What is the tens digit of 2716\/98 + w\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1678 + -126. What are the prime factors of i?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**3 - 5*z**3 - 8*z + 16*z**3 - 2*z**2 - 2*z**2.\nAnswer: 4*z*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -510 or -10732\/21?\nAnswer: -10732\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 - -0.8. Which is the closest to 0? (a) -0.3 (b) n (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1, -4, -3, -468\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28084*h**2 + 0*h**3 - 26304*h**2 - h**3 + 54388*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*-2)\/(-12 + 14). Does 9 divide (32\/x)\/((-1)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2\/19)*(t*t*t\/t**(-7)*t)\/t assuming t is positive.\nAnswer: t**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -11*m + 5. What is the closest to 0 in -0.1, 0.4, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(-2*sqrt(3)) - (1 + sqrt(75)).\nAnswer: -11*sqrt(3)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 6. Let v = -4 - n. Let s = 14 - 14.3. Which is the nearest to v? (a) s (b) 0.2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 644300540 to the power of 1\/3, to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**5 + 216*l**4 + 2372*l**3 + 5264*l**2 - 816*l - 7040 = 0.\nAnswer: -40, -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuultwrt. What is prob of sequence lr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 62, 2, -140, -364, -670?\n\"Answer: -41*t**2 + 63*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c = 2*p - 709, 14*c + 9*c - 29*c - 2*p + 40 = 124 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 9:12 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -14. Let f be (7*2\/14)\/(-1). Let x(r) = 2*r - 7. Let m be x(5). Sort u, f, m.\nAnswer: f, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*g**2 - 50*g + 1 - 1 + 53*g.\nAnswer: 299*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79915852199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 4*l = -12, 2*l = 4*f - 20. Suppose 0 = k - 3*a - 45, f*a - 285 + 60 = -5*k. Let w = 63 - k. Solve -5*m - w = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 2 + sqrt(63) + -3 + sqrt(4536)\/sqrt(8) + -4.\nAnswer: -5 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c. Let a(v) = -11 + 5 + 6 - 2*v**2. Determine b(a(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkffkfkffffffffkfkf. What is prob of picking 1 k and 1 f?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-11)\/a)\/a)**(-7\/3) assuming a is positive.\nAnswer: a**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.002, -2\/5, -1\/214, 0.5, 5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 18 - 6 - 7 - 5 + 79. What is w(-19)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2. Let j(n) be the second derivative of n**5\/20 + 3*n**2 + 5*n. Let s(w) be the first derivative of j(w). What is v(s(p))?\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -90 (b) 20 (c) -1 (d) 1\/8 (e) -3\/7 (f) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*p = -220*p + 3*z + 15, 4*p = -2*z - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1837411 to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*p - 65*p - 25*p)*(17*p**3 + p**3 - 4*p**3)*(4 + 4 - 5) as d*p**3 + a + o*p + h*p**4 + f*p**2 and give h.\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 32*c - 267. What is the hundreds digit of w(39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971739.3 litres in millilitres?\nAnswer: 971739300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153373640, -153373638, -153373636, -153373634?\nAnswer: -153373632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3096.42 weeks to microseconds.\nAnswer: 1872714816000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 845, 4, 33\/4, 9\/8.\nAnswer: 9\/8, 4, 33\/4, 845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 6 = -12*v + 2*b, -4*b - 28 = -4*v. What is the closest to 0 in 0.17, -0.5, -2\/7, v?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -45?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.4 - 13. Let g = 2347 + -2347.1. Let t = -3 - -2.8. Which is the nearest to g? (a) 4 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*i**3*r**3*t**2 - 7*i**3*r**2*t - i**3 + 47*i**2*r**3*t**2 - 2*i**2*r*t + 4*i*r*t**2 - 5*r*t**2 wrt r?\nAnswer: 876*i**3*t**2 + 282*i**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -10. Let y(t) = -3*t - 1233 + 3*t + t + 1231. Determine y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 33 = -4*q, 3*q + 0*g - 26 = -4*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6681.1 + 6681. Sort -1\/6, h, -47\/3.\nAnswer: -47\/3, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0508 - 231.0508. Let h = x + 230.999574. Round h to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 5*z - 2*z + (-19*z + 13 - 13)*(-8 + 24 - 30).\nAnswer: 265*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17741, -17986, -18229, -18470, -18709, -18946, -19181?\n\"Answer: i**2 - 248*i - 17494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 2*c**4 - c**4)*(-1 - 2 + 2) + (-4 + 4 + 2*c**3)*(2*c - 2 + 2) - 7*c**3 - c**4 + 7*c**3.\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 14*w**2 - 1 - 11*w**2 + 7*w**2 - w**2 + w**2 + 3*w**5 + (2*w**4 + 3 - 3)*(-w + w - w) + 3*w**5 - 4*w**5 - 17*w**5.\nAnswer: -18*w**5 - 18*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1869\/(-356)*24\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 555930\/21 - (-28)\/196 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/36 - 241*1\/(-9). Suppose 31*p + w + 123 = 36*p, w + r = p. What is the remainder when 95 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 21 + 5, 11 - 19 = -2*u - 3*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**2 - 3*u**2 + 20*u**2 + (u + 1 - 1)*(-2 - u + 2) - 15*u**2 + 9*u**2 + 11*u**2.\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15011249*i**3 - 30022497*i**3 + 15011249*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7*u - 1094 = 0. Let w = u + -260. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**2. Let j be (0 - 1)*(-2497 + -10). Let h(i) = j - i - 2507. Give h(k(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -5*g**8\/168 - g**5\/12 + 16*g**2. Find the third derivative of i(h) wrt h.\nAnswer: -600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/95 and 137\/30?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*s - 36 = -h, -h + s + 21 = 0. Let v = 90 - 102. Let r = h + v. What is the least common multiple of 2 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + z - 1090, 0 = -5*o - 5*z + 3*z + 1817. Is 33 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1363 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/222 and -19\/15?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 11 = n, 2*n = -4*s + 924. Is s a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4005 + -4003. Solve p - 5*z - 14 - 4 = 0, 2*p = -d*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/3*-25*8\/280?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2159 and 246380.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -11, -4, 1, -2.\nAnswer: -11, -4, -2, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 0.3. Let g = -1.65 - -1.12. Sort h, -2, g, 3.\nAnswer: -2, g, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 148565 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 944 = 9*m. What are the prime factors of m?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -978\/29 greater than or equal to -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.289 + -3.711. What is the closest to -1 in 5, 0.1, j, -28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/330 and -61\/355080.\nAnswer: 355080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 4*b + 29. Solve 12*y + 26 = f + 7*y, -5*y - b = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + o + 17 = 0, -153*h + 2*o = -155*h - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -34*l + 12 + 12*l + 20*l - 10. Suppose 5*h - q = -3 - 9, 3*h = -2*q - 15. What is k(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 5, c = -2*k - 25 + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 451, 4208, 14405, 34264, 67007, 115856, 184033?\n\"Answer: 537*d**3 - 2*d**2 + 4*d - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1535)\/307)\/((-35)\/294)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576495.\nAnswer: 5, 19, 37, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -30418\nAnswer: -1\/15209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -460.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151*u**3 - 2*u**2 - 91?\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 303808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/11 (b) -0.1 (c) -3\/8 (d) -2\/7 (e) 2 (f) 5 (g) -140.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5364 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41.000019 + -41. What is k rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3003 (base 9) to base 15.\nAnswer: -9b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 6*b = 5*f - 48, -54 = b + f. Let x = b - -73. Solve -2*t = -3*d - x, -t + 16 = -2*d - d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.29334029 rounded to two decimal places?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -552 - -555. Let o be (-20)\/5 + (1 - (2 + -6)). Solve -a*w - 2*z = -o, -w - 2*z + z = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*j = -4*c - 172, 289 = -4*j + 3*c. Let l = -72 - j. Solve 5*z + 0*z + 7 = k, -2*k + l = -5*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -1785 in increasing order.\nAnswer: -1785, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3536 divided by 884\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 9, -1?\n\"Answer: -10*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 5*w - 4*w + 773 + 1128 + 2396)*(-2*w - 2*w + w).\nAnswer: -3*w**2 - 12891*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 52*p**2 - 678*p + 65. Calculate j(26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 13*w + 114, -2*w + 63 = 5*l - 7*w + 33 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 0.0574?\nAnswer: 1.9426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 62?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (44\/3)\/(3\/9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 29\/20*c**5 - c**2 + 0*c**4 - 23\/2*c**3 + 0 + 87*c. What is the second derivative of t(r) wrt r?\nAnswer: 174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 9*j - 3*j)*(1392 + 1236 + 303 + 42 - 686) as m*j + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32164 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - 25db?\nAnswer: -25f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)*y\/(((y\/(y\/y**(-8\/7)))\/y)\/y))**49 assuming y is positive.\nAnswer: y**(511\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(6\/8)*1. Let q be (-6)\/g*(-48)\/9. What is the units digit of (-22)\/(-4) + (-4)\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) -0.4 (c) 0.3 (d) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3538 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n - 2*n + (-n + 4*n - 2*n)*(0 + 1 - 3) - 1 + 1 - 2*n)*(-18 + 20 - 87)*(-2 + 1 - 1).\nAnswer: -1020*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 4 - 5*u**3 - 3*u**3 - 20*u**2 wrt u?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - -36?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 82 = -39*l. Let n be (-2)\/4*2*-1. Suppose p + 0 = -n. Sort l, p, 5.\nAnswer: p, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.2 (c) 2 (d) -16\/19 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2.3, 26.1, 2\/9, 2, -1\/2 in decreasing order.\nAnswer: 26.1, 2.3, 2, 2\/9, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533096 is divided by 154.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {o: 1, z: 2, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113030545, 113030548, 113030553, 113030560?\nAnswer: 113030569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -1\/3 (c) -0.3 (d) -128122 (e) -5\/3 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185495275 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116904 is divided by 58438?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*u - 48*u - 5*i - 135 = 0, 5*u - i = 153. What is the greatest common factor of u and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 5:49 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h + 32*h = -5*d - 32, 5*d + 44 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y - 32 - 39 - 20.\nAnswer: 9*y - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 19 + 4 + q**2 - 2 - 10*q. What are the prime factors of s(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 5. Let w(v) be the second derivative of -v**2\/2 - 16*v. Let z(a) = -2*p(a) + 10*w(a). Let x(m) = 8*m**2. Determine x(z(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.8. Let w = -0.1 + -0.9. Which is the second smallest value? (a) y (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5734063 (base 10) to base 12.\nAnswer: 1b063a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y. Let i(d) = 29*d**2 + 5*d. Calculate h(i(u)).\nAnswer: 87*u**2 + 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -4 - (13 + -23 + 4)) + 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19200*p**2 - 19200*p**2 + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -33. Let a(z) = z - 2*z**2 - n + 22 - 5 + 93 + z**3. What is the units digit of a(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 249. Let j(s) = 5*s - 743. Determine -4*j(a) - 11*t(a).\nAnswer: 2*a + 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 1\/840*q**8 + 0*q**4 + 0*q**5 + 0*q - 1\/300*q**6 + 0*q**3 - 4*q**2 + 0*q**7 + 0. Factor s(t).\nAnswer: 2*t**3*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((-2)\/8 - (-488)\/2208). Let o = 905.5 - 906. What is the smallest value in z, o, 19, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -2*y - y**2 + 1 + 1\/3*y**3. Give d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + (-2 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 326*u - 658*u + 272*u**4 + 333*u + 385 wrt u?\nAnswer: 3264*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0*r + 1\/30*r**5 + 0*r**3 - 19*r**2 - 1\/3*r**4 + 0. Suppose b(h) = 0. What is h?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 53. Let z be 1\/(3 + -6)*t. Which is the nearest to 1? (a) z (b) 0.1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 436 - 442 + 1757 - 441 - 438.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10505762?\nAnswer: 2, 17, 193, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**6\/120 + 7*i**5\/60 + i**4\/4 + i**3\/3 - 3*i**2. What is the lowest common multiple of 6 and x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6941*v + 13588 = -590279 for v.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -747 divided by 83?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + t**3 - 1)*((5 - 5 - t)*(6*t - 3*t - t) - 1 + 1 + 4*t**2 - 18*t**2 + 29 - 29) + 0*t**3 + 0*t**3 - 8*t**5.\nAnswer: -24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588 divided by 6.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-105)*210\/36*(-11)\/(220\/168).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n + 4. Let d = -3 + 6. Let t(c) be the third derivative of c**4\/24 - 31*c**2. Let p(i) = d*f(i) + 30*t(i). Differentiate p(o) with respect to o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -42*z**2. Let d(y) = -18*y. What is d(s(f))?\nAnswer: 756*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 67, 106, 181, 304, 487?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/2 - 6) + -2. Let s = 15 + h. Solve s*u = -18 - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620136.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 10:28 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**4 - 850*q**3 - 94032*q**2 - 785408*q - 692224 = 0.\nAnswer: -208, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4801 - -4795. Put u, -2, 7 in ascending order.\nAnswer: u, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and -202548\/9385 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 27. Let u be 0*m\/2 + 5. Suppose -6*q - u*z + 70 = -q, 4*q - 3*z = 49. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, v: 4, i: 3, k: 4, s: 2}. Give prob of sequence zszz.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3\/3 - 112*c**2\/3 - 436*c\/3 - 144 = 0.\nAnswer: -108, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 5*l + 6. Let z be c(-4). Suppose z*g - 2849 = -5*g. Suppose 6*r - g = 1111. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 94, 67, -6, -149, -386?\n\"Answer: -4*k**3 + k**2 - 2*k + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28868.1 * -0.4.\nAnswer: 11547.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 5:56 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -0*b + 31*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1b9b (base 13) to base 3\nAnswer: -12201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456820.\nAnswer: 2, 5, 7, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3225 (base 6) to base 8\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (-3 - 2)*4\/(-20). Suppose -4*v = -69 - q. Let j(o) = 1. Let l(g) = -g + 10. Determine v*j(a) - 2*l(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2740 is divided by 1115?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55020 = -26*a + 21*a. What is the tens digit of a\/112 - (-2)\/(-8)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/9 + (-8)\/36. Suppose -y*h = -3*h + 15. Let v be 0 + h\/18 + -1. Which is the third biggest value? (a) -2\/5 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -67, -78, -93, -112, -135?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -39.65. Let b = l + 0.25. Do 0 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5273 + 14?\nAnswer: 5287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -8. Let w = y - 2. Let g = 0.0904 + -4.0904. Which is the third smallest value? (a) w (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 17 - 22 + 37)*(-3 + 3 + 1).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*f**4 - 27*f**2 + 3*f - 98764 wrt f.\nAnswer: -72*f**3 - 54*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 10 = 2*l + 3*l, l + 2*c - 2 = 0. Suppose -l*k + 5*k = 0. Is k - 446\/(4\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*17351.6.\nAnswer: -34703.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 17328660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0331 + 0.9669. What is the nearest to m in 4, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -13\/2 (c) -5 (d) 2\/3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 52, 63, 74, 85?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32aa - 53?\nAnswer: 3257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 136 - 8?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let y be k\/(2 + -21*1). Let q = -55\/38 + y. Which is the closest to 1? (a) q (b) 1\/8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-n**3 + 0 + 0) - 3*n**3 + 2*n**3 + 2*n**3 + 4*n**3 + 10*n**2 - 10*n**2 + 20*n + 69*n**3 + 2*n**2 + n**2 - 68*n**3.\nAnswer: 4*n**3 + 3*n**2 + 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -49, -80, -115, -148, -173, -184?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51546 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.1 - 12.9. What is the nearest to 2\/3 in g, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*d - 13, -14 = -2*d - 18. Suppose o*t + 2*g = -2*g, -g = t. Let k = -10 - -17. Solve -2*i + 2 - k = -5*r, -4*i + 4*r - 16 = t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.2. Let s = 1 + -24. Let k = s + 25. Put -2\/7, k, n in ascending order.\nAnswer: -2\/7, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1180, 4342, 12918, 29614, 57136, 98190, 155482, 231718?\n\"Answer: 451*b**3 + b**2 + 2*b + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2*b**(1\/12)\/b*b**(-7\/3)*b**(-3\/5) assuming b is positive.\nAnswer: b**(-37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 368*z - 3104. What is the tens digit of w(43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763297321 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 14 + 2 = 0. Let h be (6\/m)\/(7\/14). Let w = 7 - h. Solve 4*f = -2*y + 16, y + 2 = -w*f + 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 9:21 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (-4)\/(-1) + 2350\/(-5). Let i = 482 + h. Solve i*g + 4 = 14*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6446, -6460, -6486, -6524?\n\"Answer: -6*g**2 + 4*g - 6444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 3256\/(-96) - (-60)\/(-4)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2 + 2)*(-2*w + 2*w - w + (-1 + 1 + 3*w)*(2 + 2 + 2)).\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21240, -85167, -191778, -341073?\nAnswer: -533052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93608954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6499 is divided by 594.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45663 + -31300. Does 271 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + 72 + (-2 - 0) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2076640649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107497 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 216.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 200970153 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 82746, 165488, 248230, 330972?\n\"Answer: 82742*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-12))\/(-3) - (-4)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 115*b + 119*b + 16, -15 = -5*s + 2*b. Sort 3, 10, 6, s in decreasing order.\nAnswer: 10, 6, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2.7 (c) -1 (d) -2\/25 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54939293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38183*m**3 - 17639 wrt m?\nAnswer: 114549*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0 - 3) + 2 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(9206\/(-391255))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 443363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 16*o**2 + 15*o - 3. Let i be q(15). Which is greater: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 1 b when three letters picked without replacement from {l: 2, q: 1, b: 3, z: 4, a: 1}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13833 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (476*m + 8 - 960*m + 481*m)*(5*m**4 - m**4 + 0*m**4).\nAnswer: -12*m**5 + 32*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 164585, 331309, 498033?\n\"Answer: 166724*v - 2139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31d + 1?\nAnswer: -31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 438701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:08 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 8*v**2 - 5*v - 10. Let n(k) = k**3 - 12*k**2 - 12*k - 6. Let l be n(13). Let g be t(l). Put 0, g, -5 in ascending order.\nAnswer: -5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 506 + -849. Round x to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2074, -151, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 69*u - 64*u. Let x = u + 54. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6907, 6910, 6925, 6958, 7015, 7102?\nAnswer: 7225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74)\/111*3\/(-11)*1. Which is the closest to -4? (a) f (b) 0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 2)*(-y**2 - 4*y**2 + 6*y**2 + (-5 + 4 + 0)*(1 - 1 - 3*y**2) + (2*y - y - 3*y)*(5*y - y - 5*y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1893*t - 106*t**2 + 1923*t + 3*t**2 - 51*t**2 + 15*t**2 wrt t?\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 1 - 4 + 3)*(3303869 + 5566*i - 3303869).\nAnswer: 16698*i**2 - 11132*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 328 - 645 = -318. What is the smallest value in a, 0.3, 7, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let i(g) = -65*g**2 - 25*g - 25. Let z(k) = -8*k**2 - 3*k - 3. Let s(y) = -6*i(y) + 50*z(y). Calculate s(t(a)).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1445\/1584 + 37\/48. Find the common denominator of t and -41\/117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 16 = 3*v. Solve 0 = 4*z - o - 0*o - 11, o = v*z - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1328, -2294, -2552, -1742, 496, 4522, 10696?\n\"Answer: 60*a**3 - 6*a**2 - 1368*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10294 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12481.64949442 and 0.3.\nAnswer: 12481.94949442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -296.3?\nAnswer: 888.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 111188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 21*z - 2*z + (1 - 2 + 0 - 2 + 1 + 3 + (-1 - 4 + 4)*(0 - 1 + 0) + 1 + 1 + 0)*(5*z + 16 - 16).\nAnswer: 39*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -3*k**5\/5 - k**4\/12 - k**3\/6 - k**2\/2 - k. What is the lowest common multiple of 11 and c(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*f + 3*f - 13 + 13*f)*(-2*f**3 - 4*f**3 + 5*f**3) + 15*f**4 + 13*f**4 - 17*f**4 as l*f**3 + o*f**2 + m*f + c + q*f**4 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 20, 3*q + 2*i + 0*i + 17 = 0. Let w(n) be the second derivative of -n**3 + n**2\/2 - 13*n. Is w(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1444 - 1?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-18)*3*(-120)\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 1153322635.93.\nAnswer: 1153322636.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/20 - 36\/(21 - 9). Which is the closest to -2\/5? (a) -4\/5 (b) 1\/3 (c) x (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 6:49 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162755 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 31 = -4. Solve 0 = -3*m - q + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 20. Let x(b) = -b**2 - 9*b - 4. What is the remainder when x(-6) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 897 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 178800.9mm in centimeters?\nAnswer: 17880.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -23*u**3 + 96*u**2 - 7*u - 12. Give i(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 1\/3, 3530?\nAnswer: 3530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/79072 and -93\/184?\nAnswer: 1818656","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21856724*k - 7 + 7 + 0.\nAnswer: -21856724*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**6 - 77*x**3 + 478*x**2 - 2. Let b(z) = -3*z**6 + 154*z**3 - 956*z**2 + 5. Let u(d) = 2*b(d) + 5*g(d). What is the third derivative of u(s) wrt s?\nAnswer: -120*s**3 - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1221336 to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(232\/1044)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 13 - 15 + 28.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002433 to 5 decimal places.\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -8*n + 556. Suppose 54*j - 113 = n*j. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(3 - (-2 + 4)). Let d = -2 - o. Find the common denominator of d\/3 + (-118)\/(-28) and 101\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -2, 3, 0.4, -380?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 269, 76, -443, -1450, -3107, -5576?\n\"Answer: -27*b**3 - b**2 - b + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -46260.0249 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:27 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Let f(d) = 31*d + 6 - 13 + 8 - 6*d. Determine b(f(t)).\nAnswer: -50*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6.245*-3\nAnswer: -18.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*y**3 - 1064 + 1064 + (2 - 2 - 2*y)*(-6*y**2 + 2*y**2 + 2*y**2).\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/110*(-570)\/1368)\/((-65)\/(-20)).\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -1\/1470*v**7 + 0 + 0*v**4 + 0*v**6 + 0*v + 1\/210*v**5 - 1\/42*v**3 - 5*v**2. Factor l(k).\nAnswer: -(k - 1)**2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6 - 6 + 1 - 9*l - 128*l**2 + 130*l**2. Does 34 divide w(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, q: 12, g: 3}. Give prob of sequence qgqx.\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2298081.\nAnswer: 3, 113, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -674 bigger than -11447\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24692 or 24696?\nAnswer: 24692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 13. Suppose l*d - 3*d - 27 = -q, 43 = 3*d + 2*q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/14))**(1\/7)\/(d*d**34*d**(9\/2)*d) assuming d is positive.\nAnswer: d**(-1985\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - z + 2, 3*z = -3 + 18. Suppose 23 = s*c - 16. What is the remainder when 23 is divided by (13 + -16)\/((-3)\/c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**4 - q**3 + q - 1. Let s(x) = -24 - 26*x**3 + 27*x - x**3 + 47*x**4 - 41*x**4 + 2*x**2 + 16*x**2. Let m(l) = -3*a(l) + s(l). Factor m(c).\nAnswer: 3*(c - 7)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/12 - (3565\/900 + -4) and -103\/22?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z. Let i(k) = -65*k. Let c(r) = 40*f(r) + 3*i(r). Let o(j) = 112*j - 19. Let h(y) = -68*y + 11. Let b(q) = -5*h(q) - 3*o(q). Determine c(b(w)).\nAnswer: 20*w + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13928.11 centimeters?\nAnswer: 139281100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*l - 929762 + 124847 = 0. List the prime factors of l.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*a + 3*a - 23, -5*o + 25 = 3*a. Suppose -y - 6 = -o*y. What is the remainder when 17 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6029361s in nanoseconds?\nAnswer: 602936100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)\/((-3)\/(-15)). Let b = 966 + -964. What is the highest common divisor of b and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-15)\/(-10))\/(20\/40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/11 (b) -3 (c) -0.4 (d) -0.262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 5, -108, -293 in descending order.\nAnswer: 5, -1, -5, -108, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/14)\/(18\/24). Which is the nearest to -1? (a) l (b) -2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 13. Suppose 50 = -13*k + 8*k. What is the tens digit of r(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 32 = -l, 3*l = 5*x + l - 29. Suppose 10*t - 18 = x*t. Suppose 15400 = t*s - 11*s. What is s rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 7:13 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -182*m**6\/5 - m**4\/4 + 237*m**2\/2 + 1481*m. What is the third derivative of y(u) wrt u?\nAnswer: -26208*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17858 = 525*a + 324*a + 2013 + 7297 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 54664, 109332, 163990, 218632, 273252, 327844?\nAnswer: 382402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6294 + -1.6294. Which is the second biggest value? (a) f (b) -1\/4 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -85a552?\nAnswer: -85a552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72890693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -270, -269, -272, -273?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629262 is divided by 17007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16206910 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 236657 and 236704 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Suppose n + 3 = -r + i, -5*n - 2*r = -5. Let j be (3\/9)\/(15\/(-9)). Which is the smallest value? (a) -2\/9 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/24*-172)\/(35\/(-21)*1)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -19, -75, 0.05, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2627 - 7805\/3. Calculate the common denominator of 72\/45*(-35)\/18 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - v - 1. Let t(g) = 11*g**2 - 5*g - 5. Let i(l) = 5*r(l) - t(l). Suppose 0 = -4*s - 0*s + 16. Let u(x) = s*x**2 + 0 + 0. Determine i(u(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1331) + (6*(0 + sqrt(1331)) - sqrt(1331))**2)*-3.\nAnswer: -99824 - 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgtggt. What is prob of sequence ggg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10772 + 20769. Suppose -75096 - 6892 = 4*l. Let m = z + l. Round m to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 629786 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 33 = 3. Let q = -7 + g. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134494966?\nAnswer: 2, 877, 76679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oei when three letters picked without replacement from ereionh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(13\/4))\/s)\/s*s)\/s*s*s**10)\/(s**(-15)*s\/(s*((s*s\/(s\/(s*s**(-3\/14)))*s)\/s)\/s)) assuming s is positive.\nAnswer: s**(631\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.149\nAnswer: 0.0447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, -1, 5 in increasing order.\nAnswer: -4, -1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 6) in base 8?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.296 and 0.013?\nAnswer: 0.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 93 = -4*o. Let q be ((-124)\/14 + 2)\/(96\/(-448)). Which is bigger: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -16*s + 6. Are s and 0.01 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, -4, -5.\nAnswer: -16, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49608 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1520 (b) -10\/11 (c) -1.2 (d) 1\/6 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 2. Let n = 1 - -4. Let x(r) = r**2 + r + 4. Calculate n*p(b) + 3*x(b).\nAnswer: -2*b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/17)\/y**6)\/(y**0)**11 assuming y is positive.\nAnswer: y**(-100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 5.821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -10)\/(-30)*(-5)\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13749998 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, -47, -253, -657, -1325?\n\"Answer: -11*g**3 + 3*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -33*l - 126. Let o be i(-6). Calculate the highest common divisor of o and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 371974388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109287 is divided by 437.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-65) - (-24)\/13. Suppose -a*i + 6 + 0 = 0. Suppose 7 = i*r + 4. Put 2, -3, r in decreasing order.\nAnswer: 2, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (6 - 5 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957970549?\nAnswer: 15877, 60337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-14))\/((12\/(-63))\/((-24)\/90))?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118261 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peopoeohoph. What is prob of sequence oo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjsjjsssjsjj. Give prob of picking 1 j and 3 s.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/11 + 65440*j\/11 + 130872\/11.\nAnswer: 2*(j + 2)*(j + 32718)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 3*g**2 + 7*g - 3. Let v be j(3). Let r be (-48)\/v*(-12)\/16. Solve 6 = r*p - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let v(z) = -3*z + 15. Let x(y) = -y + 5. Let w(r) = -2*v(r) + 7*x(r). Let q(h) = -h + 4. Let s(t) = -7*q(t) + 6*w(t). Calculate s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -2*l - 0, 19 = 2*l + 5*s. Let a = l - 4. Is (3 - (-5)\/a)*142 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -336 + 48 + 289 + l. Let y(j) = -j**2 - 2*j - 2. Determine y(p) + 4*z(p).\nAnswer: -p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**6\/10 - 7*n**4\/12 - 4*n + 17. Let a(u) be the first derivative of g(u). What is the third derivative of a(r) wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -3*y**2 + 1\/112*y**8 + 0*y + 1\/24*y**4 + 0*y**5 + 0*y**3 + 0*y**6 + 0 + 0*y**7. What is the second derivative of r(v) wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 94758736*x - 561201128019856.\nAnswer: -4*(x - 11844842)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 54409.819 + -2\nAnswer: 54407.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 9*z - 9. What is the units digit of i(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1795485 and 7301639?\nAnswer: 109524585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18492, 5, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**3 + h**2 - 5*h**3 + 4*h - 1 - 8*h**4 - 8*h to the form g*h**4 + b*h + j*h**3 + u + l*h**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17561 is divided by 703.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9 = -2*h, 2*w + 0 = -3*h + 17. Solve 0 = h*j - 8*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47\/3 + -85\/6. Which is the nearest to -1? (a) 5 (b) r (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 - 226330*v**3 - 2512370865*v**2 + 1106585763140*v - 119524218952820.\nAnswer: -5*(v - 214)**2*(v + 22847)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 4. Let z(j) = -1. Let u(d) = 8*d + 10. Let h be u(-5). Let f = h + 25. Determine f*z(q) + o(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27562 - -31408. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.61 + 4.17. Let s = f + 0.22. Let i = s + -15. What is the closest to 0.1 in -0.3, i, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p**3 - 408*p**2 - 26730*p\/7 - 78732\/7 = 0.\nAnswer: -81\/7, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-14) - (-16)\/(-56). Let f be 504\/32 - k\/4. Let t = -15 + f. Put -2, 2, t in descending order.\nAnswer: 2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -19. Let k(n) = n**2 - 4*n + 3. Determine k(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2 + 2)*(q**2 + q**2 - q**2) - 2*q**3 - 2*q**3 - 7*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 7591 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 4, 5, -24, 3 in increasing order.\nAnswer: -46, -24, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3064, -3065, -3068, -3073, -3080, -3089, -3100?\nAnswer: -3113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4170.23 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 z, and 1 l when four letters picked without replacement from {z: 4, k: 2, r: 1, l: 2, n: 1, v: 4}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*g**4*r**2 + 5*g**2*r**3 + 8*g*r**3 + g*r**2 - r**3 wrt g.\nAnswer: 180*g**2*r**2 + 10*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 7 + 27. What is the common denominator of r\/6*(-67)\/(-2) and -50\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 132*(5\/(-10) + 1)\/1. Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*o + 5 = 0, -12*i - 2*o - 30 = -16*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(84) + sqrt(525) + 1*sqrt(525) + sqrt(21))\/(sqrt(252)\/sqrt(4) + sqrt(7) + sqrt(175) + (sqrt(175)*2 + sqrt(175) - sqrt(175))).\nAnswer: -sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*l + 624 = -147*l. What is the highest common divisor of l and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 1, u: 5}. Give prob of sequence uyu.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 7*h**2 + 5*h + 4. Let z(j) = 5*j + 2. Let c(q) = -6*o(q) + 17*z(q). Suppose -7 = -2*g + 3. Give c(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -6*z + 7*z. Let w = -36 + z. Calculate the remainder when (-2)\/(6\/(-129)) - 2 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 9*f - 3. Let n be 4*(-2)\/(-3)*-3. Let o be g(n). Suppose -2*s + o*s = 21. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3)*x)\/x*x*x*x**(-2\/19)*(x**2)**(3\/29) assuming x is positive.\nAnswer: x**(1270\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -2619.7629.\nAnswer: -2623.7629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13579404 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149 and 14221.\nAnswer: 2118929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 97*n + 178. Calculate u(50).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5968404.161 + 5896639. Let v = s + 71707. Let q = v + 58. Round q to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 7*u**2 + 2*u. Let m be v(-2). Let f(w) = 2*w - 36. Let x be f(m). Let z(b) = -b**3 + 5*b**2 + 7*b + 4. List the prime factors of z(x).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**7\/168 - p**6\/120 - p**5\/40 - 7*p. Factor k(b).\nAnswer: b**3*(b - 2)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70352 + -44383. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 26. Suppose 2*z + 1 = -3*x, 2*z - 3*x = 6*z + d. Let i = 7 + -6.7. What is the second smallest value in -1\/3, z, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 280, 285, 290, 295?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-6)*(-6)\/(-5). Let n(j) = -6 + 6*j + 0 - q*j. What is n(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -3*w + 4, 0 = -5*z - 2*w + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005764675569 to six decimal places.\nAnswer: -0.000576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 38. Solve m + 1 = s*k + 2, -5*m + 27 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -2 (b) -4 (c) -4\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 345, 398, 489, 630, 833, 1110, 1473?\nAnswer: 1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1924 or 1960?\nAnswer: 1924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 52, 0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 1. Let o = 0 + -2. Let r be (-21)\/(-30) + p\/o. Which is the second smallest value? (a) r (b) -2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4196 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 96. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -76. Let q be 2 + (2*j\/4)\/(-1). Solve -3*h + q*a = 9, -h = -4*h + 4*a - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = 8*f - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 2*w**2 + 3*w - 3. Suppose -t = 4*t + 15. Let g(u) be the first derivative of u**2\/2 - u - 1. Calculate t*g(a) + i(a).\nAnswer: a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1876 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2882.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(-4)*y)*y*y*y*y**(2\/19)*y)\/(y*y**(2\/13)*y**(-5)) assuming y is positive.\nAnswer: y**(482\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 5*n**2 - 6*n + 3. Let t be z(-6). Solve t*h + 5 + 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let x(q) = q**2 + 2*q - 4. Let f be 33\/44 - (4 - 35\/28). Determine f*l(i) - x(i).\nAnswer: -i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 53*f**4\/2 + 151*f**2 - 244. Find the second derivative of k(r) wrt r.\nAnswer: 636*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 3*o - 82, 7*q + 5*o - 778 = 7*o - 852 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/((-2250)\/(-4))*-3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48239 is divided by 606.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20695434 to the power of 1\/2, to the nearest integer?\nAnswer: 4549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40226668.\nAnswer: 2, 109, 257, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {t: 1, r: 1, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*m - 150*m - 52*m.\nAnswer: -345*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7284549.18 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 44, 22, 0.04, 0.1, 2, -3\/5 in descending order.\nAnswer: 44, 22, 2, 0.1, 0.04, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 225, 220, 227?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576 + 939*z + 576.\nAnswer: 939*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-27 - -31) + (-7 - 0) + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {b: 1, h: 12}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 3 (c) 41.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -34?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 87.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j**2. Suppose 26 = b + 9. Let l(s) = 3*s**2 - 15*s + 32*s - b*s. Give l(i(c)).\nAnswer: 432*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 23\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 381160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 15*o**2 - 26*o - 14. Let n be k(-13). Let q(t) = 3*t + 53. Let x be q(n). Solve z - 2*l = x, -z + 2*l = z - 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(-7) + 1\/(-7)*-2. Let k be 1*(0 - (0 - 2)). Suppose z + g - 4 = -g, -p*z + k = g. Solve -3*s + s = z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 1. What is x(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**3 + 54*m**2 - 108*m - 5. What is k(2)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -12*v**2 + 5*v - 4. Calculate w(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -5, -0.05, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13753\/5 - 2772. Suppose 3974 + 3132 = -323*z. Is z at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 20*t**3 - 36*t**3 + (2 - 3*t - 3 + 5*t)*(-17 - t + t**2 + 17).\nAnswer: -53*t**3 - 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1005109, 13, 4, -3 in decreasing order.\nAnswer: 1005109, 13, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 - -1.9. Which is the nearest to -1? (a) 2\/5 (b) -0.6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (912\/(-247))\/(-24) - (-134)\/(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*u - 2000012 = 0, 3*f - 2*u - 1038389 = 161605. What is f rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -40678 and -4.\nAnswer: -40682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -114, -299, -870, -2043, -4034?\n\"Answer: -36*i**3 + 23*i**2 - 2*i - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and 168723?\nAnswer: 23621.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/7 - 1310676*c**3\/7 + 5991552*c**2 - 335524864*c\/7.\nAnswer: c*(c - 1310644)*(c - 16)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -177*c + 4408. Determine b(25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*s + 8, 3*g - 4*g = -5*s + 37. Let j(v) = 4*v**2 + v. Let i be j(1). Suppose 2*t - s*o - 1748 = -12*o, -i*o = -5*t + 4405. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 10*m + 5. Factor 0 + 1\/4*r**4 + 1\/4*r**3 - 1\/4*r**2 - 1\/4*r**m + 0*r.\nAnswer: -r**2*(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Let g(o) = o + 23. Does 23 divide g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18096)\/11310 + 1 + 2*28\/10. What is the second smallest value in 2\/89, c, 2.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 17*w**6\/30 + 133*w**4\/4 + w**3\/3 + 22*w**2. What is the second derivative of u(l) wrt l?\nAnswer: 408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -a88116?\nAnswer: -a8810a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -69. Let g = -18 + l. Suppose -5*z - 400 = -g*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**5)**(-1\/15)\/(k**(-1\/10)*(k**10\/k)\/k*k*k) assuming k is positive.\nAnswer: k**(-103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(9\/(378\/(-28)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 888?\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0*1\/3)\/(-1))\/1. Solve -5*o + 25 = -f*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39840 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*z + 9643 = 2823, 3*a = -4*z + 4124. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 24, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvwvjvwvwwjvwjwvvj. What is prob of sequence wv?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233706*a**3*k - 575*a*k + a wrt a.\nAnswer: 1402236*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3560?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/18*6*(-13)\/91\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 326 - -268. Calculate the highest common divisor of l and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/13 - 168*y**3\/13 + 3982*y**2\/13 - 23688*y\/13 = 0. What is y?\nAnswer: 0, 9, 28, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*y = -1, w - 32*y = -37*y - 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r - 132 = 420 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -88814 to the nearest one thousand.\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 968 and 385737836?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**5\/5 - o**4\/12 - o**3\/6 + o**2\/2 + 2*o. Let k be n(1). Let v(d) = d - k*d - 3*d + 3*d. Calculate v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1475*l - 4. Let w(h) = -3*h + 1. Let r(m) = d(m) + 5*w(m). Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4 = 2*d - 15, 4*s + 2 = -5*d. Let i be 10\/s + (-2)\/(-6). Let r be ((-6)\/2)\/i + -111. What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvu when three letters picked without replacement from bnsvsue?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -33238910 divided by 1?\nAnswer: -33238910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**12*f*f**(-12)*f*f**(-11)*f\/f**(-12) assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1572, -2399, -3212, -4005, -4772?\n\"Answer: x**3 + x**2 - 837*x - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-1)**2 + 2 + ((sqrt(832) + -1 + sqrt(13))**2 - (-1*sqrt(1872) - sqrt(1872))**2).\nAnswer: -5132 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 10. Suppose 8 + 10 = d*b. Suppose -2*n + b = -149. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2\/7 - 16192*f\/7 + 97080\/7 = 0.\nAnswer: 6, 8090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 19527*a**3 - 10*a**2 + 41*a - 1. Is j(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6183135577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47471665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -47, -125, -243, -401, -599, -837?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 7, y: 2, j: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 3*n**2\/2 + 2142*n - 23. Let k be g(0). Suppose 5*x - 383 - k = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 3. Suppose -3*r + 4 = -2*w + 18, -4*w - 12 = -r. Let g be (4\/r)\/((-2)\/(-32)). Let b be c(g). Solve -b*y - 9 = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59\/354)\/(2\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 divided by -86719?\nAnswer: 500\/86719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 0*s - s**3 + 20 + 3*s.\nAnswer: -s**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*w**2 + 38 - 77*w**2 - 21.\nAnswer: -2*w**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {m: 12, z: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of (-18)\/12 + 2\/(-4)*-3891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31 from 290504.855.\nAnswer: 290535.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-25)*10)\/(4 + -2). Let o = 145.9 - 146. What is the third biggest value in o, 1, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*2 + sqrt(147))**2 + -5)*3.\nAnswer: 3954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*s**2 - s**3 + 84*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/7 - 31\/7*c - 2\/7*c**2.\nAnswer: -(c + 15)*(2*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 506 or 507?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.7 - -56. Do c and 1\/80 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5\/3 - n**4\/3 - 11*n**3\/3 + 29*n**2\/3 - 26*n\/3 + 8\/3 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3504 - 12996 + 3470 = 685*g + 11103 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2*k**5\/15 + 2*k**4 + 92*k**3\/9 + 20*k**2 + 50*k\/3 - 433. Factor c(n).\nAnswer: 2*(n + 1)**2*(n + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {g: 1, p: 1, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646 + 334 + 312 - 3*i + 39*i**2.\nAnswer: 39*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(30)\/sqrt(160).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**5 + a**4 + 2*a**2 - 1. Let d(n) = -44*n**5 - 208*n**4 + 816*n**3 + 16*n**2 - 824*n + 296. Let m(x) = -d(x) + 52*s(x). Let m(y) = 0. Calculate y.\nAnswer: -1, 1\/2, 1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 158*w**2. Let f(v) = -6234*v**2 - 4*v. Give f(j(r)).\nAnswer: -155625576*r**4 - 632*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d**2. Let p(f) be the second derivative of f**6\/360 - 2*f**3\/3 + 7*f. Let b(j) be the second derivative of p(j). Give b(c(l)).\nAnswer: 100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.2, -123, 0.1, -0.07, -0.5, -220?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - j - 3. Let d(p) be the third derivative of -p**5\/30 + p**3\/3 + 2152*p**2. Give -3*d(a) - 2*n(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bcc (base 13) in base 8?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v. Let r = 123.3 + -123.4. Which is the nearest to -1\/3? (a) 4 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**5 + 0*z**5 - 4*z + 0*z wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2955647, 11822597, 26600847, 47290397, 73891247, 106403397, 144826847?\nAnswer: 189161597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 22 = g - 16, 55 = 5*y + 5*g. Suppose -2*s + y = z, -3*s + 5*z = z + 14. Solve -s*a + 2 = 3*j - 6, 14 = -5*a + j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.1453 or 10?\nAnswer: 6.1453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5*m + 115 = 0, -2767*m + 2762*m - 35 = -v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25732 + -463063\/18. What is the common denominator of l and (745\/(-40)*-1)\/(27\/(-6))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**2 + 4 + 14*q**2 - 4 in the form m*q**2 + n*q + d and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57\/24790 in 3\/5, 1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 2\/15 (c) 12261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 - 1040 + 1040 - 20*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = v - 0*v. Suppose 5*o - 43 - v = -p, -2*p + 68 = -o. Calculate the greatest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*d. Suppose -m - 2*m - 4*z + 48 = d, 0 = -z + 3. Suppose 0 = 2*k - v - m - 10, 60 = 4*k + 2*v. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (160 + -32 + -113)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1130, 3030, 4926, 6818, 8706, 10590, 12470?\n\"Answer: -2*h**2 + 1906*h - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g. Let j(c) = 6*c**2. Calculate j(x(z)).\nAnswer: 600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/5 - 342*m**3\/5 + 1352*m**2 + 7104*m\/5 = 0.\nAnswer: -1, 0, 24, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000208002 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294759?\nAnswer: 61, 37619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662456.\nAnswer: 2, 17, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38672536?\nAnswer: 2, 7, 61, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -246, -338, -430?\n\"Answer: -92*x - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151337 + 75670 + 75667 + 3*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877.388 rounded to the nearest ten?\nAnswer: -1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.3 - -0.081?\nAnswer: -69.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*(-156)\/(-364)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 301504 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 946988.7um to centimeters.\nAnswer: 94.69887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2089 - -3627. Suppose -5*z = 4*k + x, 1234 = -4*z - 3*k - 2*k. List the prime factors of z\/(-27) + 1\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2230 is divided by (14 - 12) + (94 - -1)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 30*g + 1 + 1 + 28*g + 20*g + 99*g.\nAnswer: 183*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*k + 50*k + 3*d - 161, 0 = -5*k + 5*d + 245. What is the remainder when 132 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, 2337, 120, -1, 0 in decreasing order.\nAnswer: 2337, 120, 0, -1, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = 7. Suppose f*p - 120 = 2*p. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:37 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/50 and 27\/6185.\nAnswer: 61850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + 0))*-5 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 750.7702 millennia in years?\nAnswer: 750770.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3149517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 18*n**2 - 3*n + 42. Give g(-17).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**5 + 12*i**4 - 196*i**3 + 3585*i wrt i?\nAnswer: 40*i**3 + 144*i**2 - 1176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 474.88 + -1.18. Let i = l + -436. Round i to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**4 - x**3 - x**2 + x - 1. Let d(i) = 19*i**4 - 2*i**3 + 11*i**2 + 2*i - 2. Let b(t) = d(t) - 2*w(t). Find the third derivative of b(m) wrt m.\nAnswer: 504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22172 - 3?\nAnswer: 22167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1056*m**3 + 2110*m**3 - 2*m + 43*m - 1056*m**3.\nAnswer: -2*m**3 + 41*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 4*y - 3. Let k(r) = -r**2 - r. Let n(i) = -c(i) - k(i). What is n(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097917 is divided by 156844.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-46816)*76 - (-1317)\/(-20097) - (-2)\/33?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-28))\/3*12\/(-9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 6\/11 (c) 117072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 35 - 16 - 2*s**3.\nAnswer: -2*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7452 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/30 - j**5\/15 - 14*j**2. Solve q(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*z = 32, -3*q + 3*z = 8 - 26. Solve 0 = -3*f + q*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 27080.\nAnswer: -81240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60 - 31 - 66)*(2*i + 1 - 1) as h + o*i and give o.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -130*a**2 - 990*a - 96. Give t(-6).\nAnswer: 1164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.596 - 81.604. Let w = -69 - y. What is w rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -409924*r. Let h(x) = 4*x**2. What is h(p(t))?\nAnswer: 672150743104*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*b - 144*b - 3554 = 0. List the prime factors of b.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482503*c = 482421*c - 3772 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*n**3 - 180*n**2 + 524*n - 120.\nAnswer: 4*(n - 6)*(n - 5)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 138*d + 2016.\nAnswer: 2*(d + 21)*(d + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 46 = -3*m, -20 = -2*m + 78*y - 80*y. Which is the biggest value? (a) m (b) 0.03 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25487285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/20, -1.1, 0.5, 2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -10\/13 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 20.95. Let g = 0.05000045 + p. Round g to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/12 + 59*f**2\/2 + f. Let c be n(0). Suppose 4*b = 3*i + 146, -3*b = 5*i - 36 - c. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7601.3 and 35699.9437.\nAnswer: 28098.6437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4 - 2*w**4 + 3 + 0*w**4 - 2*w**2 - 4 + 7*w**3. Let c(a) = 2*a**4 - 6*a**3 + 2*a**2 - 2. Let i(z) = -6*c(z) - 4*k(z). Suppose i(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/12 - 2*t**3\/3 + 3*t**2\/2 + 2*t. Let b be k(4). Let d be (15 - 12)*(-1 + 0). Put d, b, 4 in decreasing order.\nAnswer: 4, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2637099*k**2*l**2 + 24991*k**2*l + 13*k*l wrt l?\nAnswer: -5274198*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**2 - 1. Let l be o(-1). Suppose b - l = -2*r, 2*r + 2*b = 4*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 484\/825 - 4\/6. Let a(b) = b**2 - 4*b - 2. Let r be a(4). Let i = -9.5 + 4.5. What is the biggest value in r, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + 3*z - 3*z)*(-z + 3*z - 3*z) + 4*z**2 + 0*z**2 - 5*z**2)*(64*z**3 + 110*z**3 + 50*z**3).\nAnswer: -448*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1417, 1005, 593?\n\"Answer: -412*d + 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3069736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -33. Let u be 644 + -3 + 2 + n. Suppose 9*y - u - 201 = 0. List the prime factors of y.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - ((-36 - -9) + -37)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 959732.8 kilometers?\nAnswer: 95973280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65979, 65963, 65947?\n\"Answer: -16*g + 65995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2610 and 4671117?\nAnswer: 46711170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557756 (base 9) in base 4?\nAnswer: 1101133023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 5\/1939, -40, 2\/5, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-1*sqrt(2)*-2))\/((sqrt(33) - (sqrt(33) - sqrt(132)\/sqrt(36)))\/sqrt(11))*3.\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 + -5 + 3 + 1 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/210 - s**3 - 9*s**2\/2 + 7*s. Let y(a) be the first derivative of z(a). Differentiate y(i) with respect to i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.857 + 220.143. Let a = y - 220.99999564. What is a rounded to seven decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 2*n**2 - 3*n - 2. Let u be y(-2). Suppose -6*c + u = -6. Solve c*s + 4*p = 2*s + 8, 13 = 3*s + p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 7) to base 12\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3957925.56 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 21*y - 109 = 0, 128*y = -2*x + 123*y - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 486022891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*(441\/(-42))\/(-21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:08 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgzgggzggzg. What is prob of sequence gz?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -516 - -624. What is the second derivative of -4 - 6 + 2 + 154*w - u*w**4 + 8 wrt w?\nAnswer: -1296*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.1 times -23124\nAnswer: -233552.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/7))**(1\/32)*h**(9\/7)\/(h\/(h\/(h*h*h**13*h))))**(3\/34) assuming h is positive.\nAnswer: h**(-9879\/7616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46502945?\nAnswer: 5, 31, 89, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3885 = 7*z - 5*d, 5*z - 3925 = -5*d. What are the prime factors of z?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 224*f + 14756. What is m(-66)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 1836, 4137, 7378, 11571, 16728, 22861, 29982?\nAnswer: 38103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 15*y**2 - 13*y + 25. Is l(-14) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = 2*y + 3, -2 = a. Sort 5, 154, y in ascending order.\nAnswer: y, 5, 154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 971376.3cm?\nAnswer: 9713.763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6518 rounded to 1 decimal place?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76) - 3*sqrt(76)*2)))*4)\/(-4*sqrt(80)\/sqrt(5)).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/(16\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15427*l = 15704*l - 5189 + 1865 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20025431 + -18?\nAnswer: 20025412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/2 (b) -2\/3 (c) -12 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1592*a = 903*a - 1484*a - 13038 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + -1 + sqrt(243) + sqrt(243))**2*6 + -3).\nAnswer: -11706 + 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 875*y**5\/3 - y**3 + 5*y. Let c(n) be the second derivative of x(n). Let r be c(2). What is r rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 9:57 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -30.25. Let o = k + -0.05. Which is the nearest to 0? (a) 3 (b) 1\/10 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 11*u + 62 = 0, 3*t - 5 + 31 = 2*u for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -109783, -109803, -109827, -109855, -109887?\n\"Answer: -2*p**2 - 14*p - 109767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opv when three letters picked without replacement from {p: 2, x: 3, c: 2, v: 1, j: 3, o: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/8 in -4, 18, 1\/825?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 + 1067\/6. Let g = 53 + -62. Let o be 2\/g + (-1)\/((-45)\/10). Are o and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 50113333?\nAnswer: -50113335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4\/4 + 4*g**3\/3 + 2*g**2 + 3*g + 1. Let f be a(-3). Suppose f = 3*w - 5*w + 106. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5445 and 68640?\nAnswer: 2265120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 82\/902 - (-15)\/77. Let q = 0.26 - 0.06. Which is the third smallest value? (a) -5 (b) q (c) -0.2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -445*r + 448*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 2*i**2 + 7*i - 1. Let d be j(-4). Let s be 63\/14 + d\/4. Factor -3\/2*o + 0 + 15\/4*o**2 + s*o**3.\nAnswer: 3*o*(o + 1)*(7*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in -8, -3, 1\/4, 1, 0.72?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + p + p + 18, -3*v - p + 7 = 0. Suppose 5*i - 2*a + a = 0, 0 = -v*i - 4*a. Let t(r) = -15 + 7 + 7 + r. Calculate t(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12237 (base 15) in base 2?\nAnswer: -1110001000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6665621.5 - -6665620.82000062. Let v = 0.61 + 0.07. Let k = r + v. Round k to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from rghqgqqcrrcrghrcrc.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*a**3 + 19*a + 30*a**2 - 2 + a**3 - 14*a**2 - 16*a**2 as m*a**2 + f + r*a + p*a**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 1, p: 1, w: 1, d: 1}. Give prob of sequence pj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 1\/61 (c) -0.5 (d) -0.0420668\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3969, -5008, -6047, -7086, -8125?\nAnswer: -9164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11 - 9 + 99*n - 1 - 10. What is the units digit of y(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 - -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 118341.72 minutes in weeks?\nAnswer: 11.74025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -2\/55*g**5 - 5\/22*g**4 - 12 + 0*g**3 + 0*g + 0*g**2. Let u(r) = 0. Calculate r.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111525*t**6 + 6*t**2 + 2739*t - 1?\nAnswer: 13383000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 16, -8, -5, 18, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3927272 and -7\/18?\nAnswer: 35345448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/(35\/(-175)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 222?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-452)\/226)\/(3\/1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 4 - 2 - 2. Let t(w) = -w**2 + w. Let z(c) = -4*j(c) - 3*t(c). What is the second derivative of z(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274729706 a multiple of 2462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/134280 and -11\/2238.\nAnswer: 134280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 9\/(-2))*4 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, w: 1, y: 2}. Give prob of sequence yv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 2:45 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + 54\/(-4))*22. Let f = d + 564. List the prime factors of f.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*n + 74*n - 9*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2378 divided by -29?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/7*(-4)\/(-16)*1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -330?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3687013 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308bc2 (base 14) to base 5.\nAnswer: 404402000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:55 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 888 and 54.\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -20105.8\nAnswer: -10052.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 594217.19 from 599.\nAnswer: -593618.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f + 355 - 355. Let c(l) = -3*l. Give x(c(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 449*j - 895 + 1016.\nAnswer: -449*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 + -109. Let w = -1172 - -1242. What is the greatest common factor of w and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 21*f - 266. Is f at most as big as 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239 - -244. Solve 3*x + 13 = -2*h - 2*x, -t*x - 25 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(-3*v - v + 2*v) + (3*v + 2 - 2)*(3 + 3 - 2) as s*v + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408922.\nAnswer: 2, 204461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nndddnndnnnnnnnnnnnn. Give prob of picking 1 n and 3 d.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 4*f - 1. Let q be y(3). Let z be (q + -1 + -2)\/1. Let c = z - -6. Solve -4*u - c = 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3122 + -1?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -h + 4*h. Let v(k) = k**3 + 2*k**2 - 3*k + 2. Let p be v(-3). Calculate the remainder when (12\/(-9))\/(p\/(-51)) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8160725 equal to 8160725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.7 in 2\/5, 0.18, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, -4, -41, -381.\nAnswer: -381, -41, -4, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 745902, 1491830, 2237758, 2983686?\n\"Answer: 745928*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 3. Let v(g) = -y + 6 - g + 3. Let z(c) = 2*c**2. What is z(v(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/13 + 72*w**3\/13 + 378*w**2\/13 + 540*w\/13 = 0.\nAnswer: -30, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40660527 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4511.8 + 4531. Which is the nearest to n? (a) -2 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 9087 - 9087 + 60*g in the form d*g + z + i*g**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-1)\/(-4)*4). Find the second derivative of y*c**5 - 7*c + 6*c**5 - 8*c**5 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.21 (b) 1\/4 (c) 1 (d) 2.61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 5*t + 571740. Is t\/(-28) + (-4)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258074 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 1. Let x be o(2). Suppose -x*b - 20 = -7*b. Suppose -3*h = -0*h - 3*c, 0 = -b*h - 2*c + 35. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-4 - (-231)\/(-147))) + 10.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(121) - sqrt(121)*-1)*-2)\/(sqrt(11) - (sqrt(704) - sqrt(704)*3)))**2.\nAnswer: 754\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x + 2. Let d(q) = 4*q**2. Determine o(d(n)).\nAnswer: -60*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 11550?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11*(-216)\/99)\/4. Let i = -1 + 7. Solve 8*y + r = i*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2 + 2*c - c - 5*c + 8*c**2. Let k be v(7). Calculate the remainder when 20 is divided by k\/30 + 2\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -57347.\nAnswer: 114694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63524*p**2 + 21173*p**2 + 21173*p**2 + 21178*p**2 + 5*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + 7\/(14\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 2*u - 3. Let i be -3*(-1 - (3 - 3)). What is the remainder when (30\/(-8))\/(2\/(-8)) is divided by y(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4 + 58760*v**3 + 215737332*v**2 - 431650960*v + 215854864 = 0.\nAnswer: -7346, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2318\/725 + -2\/725. Calculate the common denominator of p and 131\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 89 + 64. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2551667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 611 or 0.1?\nAnswer: 611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 2500.\nAnswer: -103\/2500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 650 divided by 130\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.125*-0.5.\nAnswer: -4.0625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -25, -5, -9, 35, -186 in descending order.\nAnswer: 35, -1, -5, -9, -25, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 870223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - -0.55. Let t = -11.4 + -9.6. Let i = -17 - t. Put v, -0.2, i, -0.3 in decreasing order.\nAnswer: i, v, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -24*l**3 - 8*l**2 - 52*l - 91. Let q be r(-6). Calculate the highest common factor of q and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86726189 rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -8365739.676 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 3)\/(-2) - 3\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 53. Suppose -566 = -v*r + 336. Suppose 30 + 18 = d - 3*t, -t + r = 2*d. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 8 - 2. Let f(h) = -h**2 + h - 7*h**2 + 0*h - w*h. Let g(x) = -139*x + 2*x**2 - 22*x**2 + 5*x**2 + 137*x. What is 11*f(s) - 6*g(s)?\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by -2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 219*l + 451. Which is the fourth smallest value? (a) -0.06 (b) -0.2 (c) -1 (d) 5 (e) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxix when four letters picked without replacement from {i: 9, x: 9}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64b4 (base 13) to base 9.\nAnswer: -21181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-4 + 27 + -24).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.475753ml in litres?\nAnswer: 0.007475753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2462*j - 13023 - 16521 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 11, -5 in increasing order.\nAnswer: -5, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + p - 5. Let z(s) = -s + 20. Let n be z(14). Calculate the remainder when w(4) is divided by -5 + n + 11\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 - l**2 - l - 4. Let f be c(-3). Let u be (1 + f\/(-3))*-3. Suppose 9180 = 13196*x - 13106*x. What is the highest common factor of u and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484.033 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1768348921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12091.03 - 12091. Let i = -116 - -576\/5. Let r(s) = -s**3 - s**2 - 2. Let n be r(0). What is the third smallest value in n, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 22*g**2 - 2485*g. Let b(u) = 4*u**2 - 497*u. Calculate 11*b(j) - 2*f(j).\nAnswer: 2*j**3 - 497*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(143\/(-99))*(-30)\/162*-6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:25 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 9) to base 4.\nAnswer: -10013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7196)\/(-21) - 6)\/((-3)\/(-2*18)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 1. Let r be j(-1). Suppose -12*b + 401 = 269. What is the third derivative of 10*c**2 - 22*c**5 + 3*c**r - 12*c**2 + b*c**2 wrt c?\nAnswer: -1320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/10)*z**(1\/6))\/(z**(-9)\/(z\/(((z*z**(3\/14))\/z)\/z))))**(2\/35) assuming z is positive.\nAnswer: z**(2489\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 787315 by -4.\nAnswer: -787315\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0017 + 3.7317. Let t = u + 1.27. Which is the third biggest value? (a) 0.5 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 18*f**2 - 1020*f - 228. Calculate k(57).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/24*54\/126.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 1. Let y be q(-1). Suppose u - 5 = -x - 1, 0 = -x + 3*u. What is the second derivative of x*j - 5*j - j**y + 5*j wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 10. Let w be x(20). What is the units digit of 22715\/119 - w\/(-85)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057)*-1 - sqrt(2057)) + -1 + (-1*sqrt(2057) - sqrt(2057))*-2 + -2*(sqrt(2057) + sqrt(2057) + sqrt(2057) + -2 + sqrt(2057) + 2))**2.\nAnswer: 132*sqrt(17) + 74053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-51 - (61 + -115)) + (-7 - 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6*y + 2*c**6 - 2*c**4*y - c**2*y + 2*c*y - 4 wrt c?\nAnswer: 120*c**3*y + 240*c**3 - 48*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*l**3 - 15*l**2 - 1428*l.\nAnswer: 3*l*(l + 7)*(9*l - 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 3*b**2 - b + 4. Let a be d(0). Suppose -5*m + 23 - 8 = 0. Solve -17 = -m*v + u, -v - a*u - 21 = u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 0.4, -2\/13, 1\/4, -2\/37831, 5, 9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4332732, -4332727, -4332722, -4332717, -4332712, -4332707?\nAnswer: -4332702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 492 = 2*i - 0*i, 0 = 3*i - 2*x + 746. Let r be (2\/5)\/((-10)\/i). Calculate the greatest common divisor of 90 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -50. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 1.96.\nAnswer: -37.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3239 + -3226. Let n(f) = -4*f**3 - 4*f**2 - 3*f - 2. Let j be n(-2). Let g = j + -13. Calculate the remainder when v is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/421? (a) 0.3 (b) 1\/7 (c) -2\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40449881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*n**4 - 133*n**3 + 19020*n - 2 wrt n?\nAnswer: 828*n**2 - 798*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/441)\/((-1)\/(-7))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.014281022?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.3822986 days?\nAnswer: 550.509984","meta":{"dup_signals":{},"source":"measurement__conversion_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: Collect the terms in -115*m**2 + 73 + 119*m**2 - 73.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2089\/45 - -231\/5. Let j = 0.0936 + -689.0936. Let y = j + 689.1. What is the fourth biggest value in 0.02, g, y, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321672 and 624.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 11*x. Let u be l(-8). Suppose -5*m = -h - 3*m + 95, -m + u = h. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 40 = -9*v. Suppose 4*n - 2 = 6, 2*o - 4*n + v = 0. Suppose 0 = -4*l - o*l + 24. Solve 0 = t - l*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r - 2*y + 8, -1 = y. Let l = 1 - -1. What is the third derivative of l*m**4 - 4*m**3 - m**r + 4*m**3 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 2*x - 2. Let u be b(0). What is the units digit of (3\/u)\/(((-1)\/(-52))\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 118\/2751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 330*l - 1608. Let j be x(14). Calculate the greatest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Collect the terms in -8056*p**2 - 5563*p**2 + 5531*p**2 - 17888*p**2.\nAnswer: -25976*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 402, -4, -73, 35 in increasing order.\nAnswer: -73, -4, -3, 3, 35, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24621966 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336922617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from fffxl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f + 3021 = 320*f - 774 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**8\/24 + l**6\/60 + 73*l**4\/24 - 50*l**2 + 1. Find the second derivative of y(v) wrt v.\nAnswer: -280*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*x - 837*x + 2560*x - 863*x.\nAnswer: 73*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61114197112 - -367.\nAnswer: 61114197479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*4323\nAnswer: 432.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103567510?\nAnswer: 2, 5, 139, 74509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1525 + -0.15251009. Round t to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1845*m**3 + 5*m**2 + 5*m + 9. Let h(r) = 1848*r**3 - 4*r**2 - 4*r - 7. Determine -4*a(t) - 5*h(t).\nAnswer: -1860*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/1614 or -1?\nAnswer: 7\/1614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 - 1007776*b = 0. Calculate b.\nAnswer: 0, 503888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126688?\nAnswer: 2, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4 - 49318*c**3 + 295854*c**2 - 443762*c + 197224 = 0?\nAnswer: 1, 4, 24653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11355433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-1)\/(2460 - 4)). Suppose 5*j - 2357 = -4*s + t, -s - 5*j = -1192. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 20 = 9*t. Suppose -i + 18 = 4*r, i + 4 - 2 = 0. Let g(v) = -r*v + 2*v - 1 + t*v + v**2 + v. Calculate g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4880281*x**2. Let z(a) = 6*a. Determine j(z(v)).\nAnswer: -175690116*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 10 (c) 754659\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 33, -345, -1133, -2475, -4515, -7397?\nAnswer: -11265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11938 is divided by 239.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 353336 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + (sqrt(8) + (sqrt(392) - sqrt(8) - sqrt(8)))*3)\/(sqrt(256) + (sqrt(256) - (sqrt(256)*-1 + sqrt(256))) + sqrt(256)))**2.\nAnswer: 361\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -957795 (base 11) in base 2?\nAnswer: -101110110010000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + l**3 - 16*l**2 + 2339*l - 27 - l**4 - 2339*l as j*l**3 + d*l + b*l**4 + a + w*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1581 and 29512.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*r - 14 = -0, -2*f + 10 = -2*r. What is the second derivative of n - 48*n**f + 51*n**2 + n wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5.2 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*p**2 + 0*p**3 - 1293*p**2 + 3*p**3 + 554*p**2 + 558*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -2, -4, 5, 30 in increasing order.\nAnswer: -6, -4, -2, -1, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + (3 - (-3 + -3 - 0))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2108327*h*p**3 - 13046700*h*p**2 - 13*p**3 + 2 wrt p.\nAnswer: -12649962*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3565\/2, 0.2, -5\/27, -4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 7. Let d(l) = -81. Let z(g) = -487. Let v(w) = -6*d(w) + z(w). What is h(q) - 2*v(q)?\nAnswer: 2*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7026*d + 6732*d - 13898 + 1844 = 0 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 + 74*t + 23. Calculate o(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 351958612 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/11117795 and 32\/15.\nAnswer: 33353385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -87440 divided by 2?\nAnswer: -43720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15 + 3 = 0. Let u be 1\/l + (-48)\/(-18). Solve u = -3*k + 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-117)\/(-6))\/(1\/(-2)). Let z be 2\/(-10) - 15624\/405. Let t = k - z. Which is the biggest value? (a) 2\/11 (b) t (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.590841 - 18.909365. Let o = -50.5 - -72. Let l = v + o. What is l rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208775 divided by 300.\nAnswer: 8351\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 5*d - d**2 - 2)*(52*d**3 + 112*d**3 - 50*d**3).\nAnswer: -114*d**5 - 228*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**4 - 4*u**2 + 14*u + 4. Let b(p) = -6*p**4 + 5*p**2 - 15*p - 5. Let y(v) = 4*b(v) + 5*x(v). What is the second derivative of y(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.025604 centimeters in nanometers?\nAnswer: 60256040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 93. Give a(12).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-29)\/((-812)\/42)) - 212\/4.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 24*n**4 - 4 + 2*n + 26*n**4 - 4*n**2 + 0*n**2 in the form d*n**2 + t*n + y*n**4 + o*n**3 + c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 102*o**2 - 288*o + 1043. Give l(-99).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 120210022202?\nAnswer: -120210022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from hqshnnwqhhsqnhqqhhph.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6611 or 6601?\nAnswer: 6601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -2\/15 (c) 301 (d) 0.4 (e) -20 (f) 2 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 77830 to the nearest one thousand.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72143850 by 14428770.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6577 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 = -3264407*k + 3264415*k for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 1764378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.85 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/2240*(25\/6 + -4)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 9:38 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5301\/(-798)*(-406)\/(-174).\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 52 = -40. Let q = 1 - -2. Solve q*l - 5 = -v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 39 - 37 - 29013*f.\nAnswer: -29013*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6519)\/12 - (-3)\/(-4). Let z = a + 983. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 2. Let x be p(-4). Let y(g) = g**2 + 3*g + 2. Let j be y(-3). Solve -3*h = -2*f + 5, 0*f - j*h + x = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -138370.\nAnswer: 3\/27674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.4 - -17.4. Put -5, 0.4, 15, r in descending order.\nAnswer: 15, r, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 - (11 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 235? (a) -10 (b) 0 (c) -6.33 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 - 5*p - 1. Let j(k) = 4*k**3 - 4*k. Calculate 3*j(l) - 2*t(l).\nAnswer: 4*l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2145*w - 350943 + 350943)*(2*w - 2*w + 2*w).\nAnswer: 4290*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*10\/70 - (-58)\/7. What is the tens digit of 13\/((-455)\/(-4508)) - n\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1243 + -1162. What is the greatest common factor of 333 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 140 = -487. Let u = -125 + x. Suppose r = 5*s - 93, 4*s + 24 = -4*r + u. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-738)\/9558 - 439\/(-3951)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekkq when four letters picked without replacement from {z: 3, s: 5, k: 2, q: 3, e: 3}?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/44 - (-34)\/8. Let d(a) = -a - a + c*a. Let m(o) = -o**2. Determine d(m(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 2, 3, 0, -45, 5, -4 in decreasing order.\nAnswer: 67, 5, 3, 2, 0, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(144)*-3)\/sqrt(8))\/(sqrt(66)\/(sqrt(77)\/sqrt(7)))*-6 + 1.\nAnswer: -108*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9560309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3700)\/(-2220)*(-3)\/(-7).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/(153\/(-6))*2874 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*l - 70*l - 4*j + 30, j - 20 = -3*l. Solve -1 = 2*y - 5*o, -l*y + o + o = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 0)*(12*f - 12*f - 10*f**2) + 2*f - 2*f - f**3 + f**3 - 1 + 1 + 2*f**3 + 3*f**3 - 4*f**3.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l - 77. Calculate the remainder when v(12) is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38284 is divided by 227.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62230 and 4386326.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 8*p**2 + 9*p + 6. Suppose i - 40 = -2*f - 12, 0 = -2*i - 8. Suppose y + 25 = -4*z, 0*y - 2*y = -3*z - f. List the prime factors of n(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85967*z**2 - 66844*z?\nAnswer: -171934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-20) - (-12152)\/(-36890).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60163?\nAnswer: 17, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -2*f**6\/5 - 2*f**4\/3 - 2*f. What is the third derivative of g(u) wrt u?\nAnswer: -288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -174, -389, -690?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1312147892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 23*w + 26*w = -30*w + 104*w - 27*w - 55, -2*w + 6*w + 100 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 731 = -3*v - 776, -21 = 3*v - s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2402 - 434*z - 2998 - 382*z**2 + 113*z + 1213*z**2 + 3*z**4 - 96*z**3 - 309*z.\nAnswer: 3*(z - 15)**2*(z - 4)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 11*d**2 - 12*d. Let x be u(12). Sort 5, x, -2.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8*i = 0. Suppose i = 2*r + 5 + 7. Let m be 26\/6 - r\/9. Solve 4*g - 7 - m = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*-6 + (sqrt(13) - (sqrt(52)*-1)\/sqrt(4)).\nAnswer: -40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 - -206.1. Which is the nearest to 23? (a) 1\/9 (b) m (c) 2\/11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -13. Let y(s) = 1 - k*s**2 - 8*s - 3*s**2 + 5*s**2. What is the units digit of y(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83747256.64 + 0.4\nAnswer: -83747256.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 17*s**2 - 17*s + 7. Give n(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439122*n - 439123*n - 4*t = 0, -n + 5*t = 9 - 27 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -1) + -11 - 0. Which is smaller: -9 or f?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*m**2*u**4 + 162*m**2 - m*u - 146*u**5 + u**2 wrt u.\nAnswer: 144*m**2*u - 8760*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -0*x - 3*x - 2*n, 0 = -n. List the prime factors of x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w = -66*w + 27. What is the highest common factor of w and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1298*r + 174003. What is x(-134)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnrrnnnnnnnn. What is prob of sequence rn?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-393)\/(-10087)*35\/30\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-25)*10\/4. Suppose 0 = -n - b*n + 15. Suppose -n*g + 24 = -g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 6*c**2 + 2*c. Suppose -4*p + 3*p - 2*u + 10 = 0, -5*u = -2*p + 20. Suppose -p = 4*z + 18. List the prime factors of o(z).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.32832762 rounded to 3 dps?\nAnswer: 8.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.281 + 4.271. Which is the nearest to -0.03? (a) -5 (b) n (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2580 and 2580.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 81*h - 330, -2*h = 264 - 272 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let k(j) be the first derivative of j**3\/3 + j**2\/2 + 11*j - 3. List the prime factors of k(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -7, 21, 61?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1387.0129 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 10:50 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -213 + 213 - 91*a + (-1 + 3 - 3)*((1 + 0 + 3)*(3*a + a - 3*a) - 4*a + 5*a - 3*a) in the form h + f*a and give f.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45360 divided by 6.\nAnswer: -7560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12768, 25548, 38342, 51156, 63996, 76868?\n\"Answer: t**3 + t**2 + 12770*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) -4 (c) -0.2 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7460 is divided by 439?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 h, and 2 q when four letters picked without replacement from bqqbqbhqqbnbqbbbnq?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/6*(-27)\/((675\/12)\/15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4 + 30*m**3 + 74*m**2 - 102*m = 0.\nAnswer: -3, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 16 = -3*z, 3*z - 1618 + 1165 = -24*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2392*f + 2448*f + 0 + (-f + f - 2*f)*(-3 + 2 + 3) - 2 - f + 2.\nAnswer: 51*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 417 - 1241. Find the first derivative of -3*u + 6 + 57*u**4 - g*u**4 + 30*u**4 wrt u.\nAnswer: -64*u**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*(5\/(-4))\/((-565)\/4068)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1905 - 2*j - 635 - 639 - 631.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18.24 from 467.\nAnswer: 485.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 3*x**2 - x - 1. Let r be q(2). Let k be (-5 - r) + -4 + 2. Factor 0*h**2 - 6\/7*h**3 + 2\/7*h**4 + 8\/7*h + k.\nAnswer: 2*h*(h - 2)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10300 (base 4) to base 6.\nAnswer: -1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -15, 0.01, -4, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16657 + 33332 - 7163*v**2 - 16673 in the form p + d*v**2 + i*v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 57. Suppose -9417 = -19*k - 9208. Put t, k, -15 in increasing order.\nAnswer: -15, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.64 - 0.36. Let m = u + 15. Let k = m - -10.000044. What is k rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -5\/48*l**4 - 1\/3*l**3 - 1\/80*l**5 - l + 5 - 1\/2*l**2. Let i(o) be the first derivative of p(o). Factor i(t).\nAnswer: -(t + 1)*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9307 equal to 9277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**4 + 0*f**4 + 4*f**4 + (4*f + 8 - 8)*(-3*f**2 + 4*f**2 - 3*f**2)*(-2*f - 5*f + 2*f) as d*f + m*f**3 + o + b*f**2 + n*f**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 374.6239 micrometers?\nAnswer: 0.0003746239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 722*f**3 - 49 + f + 47 - 724*f**3 + 2*f**2 + 5*f**4 to the form p + j*f**2 + t*f**3 + r*f + z*f**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4 = 3*z, -666*r = -667*r + z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6 - 1 = 0. Let i(f) = -f + 2 + 2 - 2. Let b(d) = -1. Let k(j) = b(j) + i(j). Determine k(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 368, 265, 162, 59?\n\"Answer: -103*l + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 831624 and 1576.\nAnswer: 163829928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 2. Calculate h(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7194299*q*u**2 - q*u - 14*q - 43968*u - 1 wrt u.\nAnswer: -14388598*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 128\/80 - (-4)\/10. Let v(f) be the first derivative of 0*f**3 - 3 + 1\/4*f**4 - 1\/2*f**b + 0*f. Suppose v(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -4*f + 55. 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: Suppose -4*n - n + 190 = 0. Let h = n - 23. Solve 2*c + 3*c = h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4104698?\nAnswer: 2, 13, 47, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -21, -85, -207, -405, -697, -1101, -1635?\nAnswer: -2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**11*k*k)*k**(2\/3)\/k)**(-21)*((k\/(k\/(k*k**2))*k)**(-1\/27))**(18\/11) assuming k is positive.\nAnswer: k**(7846\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*x, -4*d + 3*x = -0*d - 473. What is the remainder when d is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 3*d - 4*d)*(17*d - 19*d - 61*d) - 4*d**2 + 0*d**2 + 2*d**2 + (4*d**2 - d**2 - 4*d**2)*(5 + 1 - 4) - 4*d**2 - d**2 + 8*d**2.\nAnswer: -253*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11031131 - -10?\nAnswer: -11031121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -2.6. Let t = 2719.983 + -2722. Let z = 0.017 + t. What is the biggest value in -3, y, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:37 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64516 - 64514. Suppose -n - n - 2*f + 138 = 0, n = f + 75. Let r = n + -362\/5. What is the second smallest value in r, h, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 2, t: 2, j: 6, v: 1}. What is prob of sequence oo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 3. Let u(b) = -3. Calculate 2*c(o) + 3*u(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (61 - 54).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 <= -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 7*h**5\/10 + 7*h**3\/2 - 6*h + 6. Let g(a) be the first derivative of v(a). Find the second derivative of g(d) wrt d.\nAnswer: 84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230\/2533 + -4\/149. What is the biggest value in 12, 0.1, i?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + n = -57, 3*u + 29 + 10 = 3*n. Let o = u + 25. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = 3*g, -3*g + 0*w - w + 13 = 0. Suppose -3*s = c - 9, -g*s - 3*c + 6 = -s. Let q(o) = -o + 2*o - s*o. Let x(h) = -5*h**2. Calculate q(x(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 41)\/(15\/(-420)). Calculate the highest common factor of 56 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 0*f**3 + 4*f**4 + 27*f - 19*f + 2*f**3 - 2*f**2 - 15*f to the form n*f**3 + j*f**4 + s + v*f**2 + r*f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.064 and 610234797.\nAnswer: 610234796.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 1022\/12 - (5\/(-6))\/(-5). Calculate the highest common factor of w and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 5:21 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 6. Suppose 3*r = 4*b - 0*r + 19, -3 = -3*r. Let m be u(b). Solve -5*i**2 + 5*i**m - 2*i**4 - 8*i**3 - 2*i**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 - u**3 - u**4 - 3*u**2 + 10*u - u**2 - u**4 to k*u + f*u**2 + v + x*u**4 + h*u**3 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**2*w**2 + 8268*u**2*w - 4075*w**2 - 2*w + 4 wrt u?\nAnswer: 2*u*w**2 + 16536*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135 smaller than 1134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 not equal to -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/(-24)*4\/16?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 9. Let c be g(-6). Let a be c - -7*18\/3. Suppose -a - 67 = -2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 2 + 2 - 8*x + 2 - 1. Determine f(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -1, -714028 in ascending order.\nAnswer: -714028, -34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(((-4)\/3)\/(-2)). Let v be (-3)\/(-9) - (-1 - (-24)\/(-9)). Suppose -p - 11 = 3*k - 53, k + v*p = 3. What is the greatest common divisor of k and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*y**3 - 30*y**3 + 14*y**3.\nAnswer: -127*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 6. Let q be j(-3). Suppose 0 = q*o - 2 - 7. Suppose b - 151 = m, -o*b - 2*m + 755 = 2*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -3, 4 in increasing order.\nAnswer: -8, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -5) + 9 - (2 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13567*0.5.\nAnswer: 6783.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2474490?\nAnswer: 2, 3, 5, 82483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/169*((-14976)\/684)\/32?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1541 + -38. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 17*v + 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g**3 + 5*g**3 - 5*g**3 + (g**2 - 5*g**2 + 5*g**2)*(0 + g + 0) to b*g**2 + s + l*g + y*g**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b - 7*b - 9*b - 12*b as o + h*b and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1436838us in seconds?\nAnswer: 0.0000001436838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/2)\/i)\/i*i)**(-1\/30))**(5\/8)\/(i**6*i\/(i\/(i\/(i*i**(-1\/2))))*(i\/(i**(1\/2)\/i))\/(i\/i**6)) assuming i is positive.\nAnswer: i**(-1249\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -17*s**2 - 5. Let i be f(-3). Let j = -156 - i. Let -2\/3*p**3 - 6*p + 0 + 4*p**j = 0. Calculate p.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttttrrvtrr. Give prob of sequence rt.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, u: 2}. Give prob of sequence uu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8096568.\nAnswer: 2, 3, 29, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - 109. Let u = 4994\/39 + o. Are u and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 1 = 5*q. Let f(o) = o**2 - 1. Let z(b) = 6*b**2 + 3*b - 4. Determine q*z(x) - 4*f(x).\nAnswer: 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z*z**(-5)))))\/(z**3\/z*z*z))**(3\/35) assuming z is positive.\nAnswer: z**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -13122?\nAnswer: -13112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 5*i + 6. Let b = 5 + 6. Let k(w) = -6*w**2 - 11*w - 12. Let l(q) = b*g(q) + 6*k(q). Determine o, given that l(o) = 0.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3538 (b) -5 (c) 2\/7 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -584\/45 - -13. Let f(a) be the third derivative of 7\/72*a**8 + 0*a**3 + 0*a**5 + 4\/45*a**7 + 0*a + z*a**6 + 0 + a**2 + 0*a**4. Factor f(y).\nAnswer: 2*y**3*(7*y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -4\/53 (b) -5 (c) -1\/26209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1453533130 or 1453533128?\nAnswer: 1453533128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 5\/2, 3, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-1192)\/(-200) + -2*3). Put d, 0.4, 17, -3 in descending order.\nAnswer: 17, 0.4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*z**2 + 41994*z + 80218 wrt z.\nAnswer: -4*z + 41994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1458 - -2080. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 9*i - 4. Let h be c(6). Suppose -2*f + h = 2. Let k(d) = 5*d - 7. List the prime factors of k(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (-1 + sqrt(208) + 0) - sqrt(208) - (-2 + sqrt(208) + 0 + sqrt(208))) + 2)**2 + -1 + -5.\nAnswer: -120*sqrt(13) + 1891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43900 + 43900.3. Which is the fourth smallest value? (a) 1 (b) -0.6 (c) 5 (d) -139 (e) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1364*c + 702. Calculate p(2).\nAnswer: -2026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50487*i**2*u - 2*i*u - 47870*i + 2*u wrt i.\nAnswer: -100974*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28589.49988 + -28590. Let g = -125 + 124.5. Let v = g - r. What is v rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**3 + c**2 + 3*c - 5. Let f be k(2). Suppose -p + 5*b - f = -0*b, 4*b = p + 72. Let x = -33 - p. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-1969639944\nAnswer: -1969639944.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 1. Determine p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -208274.9525654 - 0.0474346. Let s = 208050.909 + w. Let u = s + 224. Round u to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*z = -1126, -z + 3 + 0 = 0. Suppose -4*w - b = -2*r - 2*w, 4*r + 3*w = 462. Let c = 300 + -271. What is the remainder when r is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k - 80152026. Let t = k + 18613038. Let d = 5744304 + t. What is d rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + n**2 - 3*n**2 + (2*n - 3*n - n)*(3 - 3 - 4*n) - 5 + 5 + 2*n**2 as m*n + g + o*n**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + r = -761, -2*f - 5*r = 581 + 200. Let w = -150 - f. Is w a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c - 12 - 4 + 12 - c - 2 + 2 + (0 + 0 + c)*(0 - 2 + 0) + 0*c + 2*c - c to g*c + f and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w**3 - 275*w**3 + 244*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 1 + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3175 divided by -63230?\nAnswer: -635\/12646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015782 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 132*n**2 + 296*n - 621. Is d(-146) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/9 + 170890*u**2 = 0 for u.\nAnswer: 0, 769005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -14, 69, 226, 481, 858?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041485 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -666848009921092+-0.4\nAnswer: -666848009921092.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6757343*o**5 - o + 23162988.\nAnswer: 135146860*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, 1 j, and 1 d when four letters picked without replacement from {k: 3, j: 3, d: 4, q: 3, m: 5}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 668611.5um?\nAnswer: 668611500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 110902871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 367*v - 4258. Determine n(-11).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, 38, 64, 134, 266?\n\"Answer: 3*n**3 - 5*n**2 - 6*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -1.7844 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -995, -1027, -1119, -1301, -1603, -2055?\nAnswer: -2687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 21 (b) -2\/5 (c) -4 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -188*g**2*i**2 + 2*g**2*i*s - 206*g*i**2 - 2096310*i**2*s - 5*i with respect to s.\nAnswer: 2*g**2*i - 2096310*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 4418070.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27736.38 decades to months.\nAnswer: 3328365.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 3:19 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 8. Let m = -199 + 250. Let o(b) = -m + 99 - 49. What is -6*o(f) + u(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n + 7*n - n. Let l(d) = 2*d**2. Calculate p(l(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 1\/4 (c) -2\/5 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 14*v**2. Let u(c) = 13*c**2. Give -6*k(x) + 7*u(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.4, -34 in increasing order.\nAnswer: -34, -0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.931 + -2.231. What is the closest to -17\/4 in -0.1, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3. Let m(c) = 13*c**3 + 6*c. Let i(a) = m(a) + 4*v(a). What is the second derivative of i(q) wrt q?\nAnswer: 102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-47*s + 88*s + 105*s).\nAnswer: 438*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven halves of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 694.1 and 0.1.\nAnswer: 69.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042003 (base 6) in base 5?\nAnswer: 3133100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 3*x + 14 - 16 + 3. Let w(j) be the third derivative of -j**4\/24 - 6*j**2. Let c(g) = g - 5. Let b be c(6). Determine b*d(z) + 3*w(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2513? (a) 1\/3 (b) 1 (c) 10 (d) 3\/5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 43*g + 835. Let j be k(13). Suppose 5*f = 288 - 113. Let v = j - f. Calculate the greatest common divisor of v and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 8*c**2 - 6*c - 4. Let y be f(7). Let q = 99 + y. Solve -4*l = 3*v - 14, 0 = -3*v + l + q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17109482399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27485692 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/48559039 or 1?\nAnswer: 1\/48559039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h + 3*c - 21 = 0, c = 2*h - 3. Let y be 3 + 6*4\/(-6). Let p be (0 + (-5 - -3))\/y. Sort h, -2, p in increasing order.\nAnswer: -2, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + -7 + 1 + -1. Suppose 0 = 5*y - 4*y - z. What is the greatest common factor of 2 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)\/u)\/u)**(-7)\/(u*u**(-1\/2)*u)**(-22\/7) assuming u is positive.\nAnswer: u**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 154442033 + -1?\nAnswer: 154442032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 258545, 258288, 258029, 257768, 257505?\n\"Answer: -y**2 - 254*y + 258800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**4 - 1 - 102*b**3 + 2*b - 34 - 598*b**3 + 37 - 2*b**4 to q*b**3 + f*b**4 + v*b**2 + u*b + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*j - 5. Let v(o) be the third derivative of o**5\/60 + o**4\/3 - o**3\/2 - 2*o**2. Calculate v(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -410 - -270. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/((sqrt(126) + sqrt(14))\/sqrt(2)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -4.5. Let h = -12.7 - -12.8. What is the closest to h in m, 1\/6, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p + 5*m + 1, 3*m = 9. Suppose p*a = 15*a - 608. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.98 - -69. Sort -1, -1\/2, h, -2\/17 in ascending order.\nAnswer: -1, -1\/2, -2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, 0.127, 2, -1\/8, -0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**12 assuming i is positive.\nAnswer: i**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 2*w - 6*w, 5*x + 26 = w. What is the least common multiple of (-6)\/(-3) + (-7)\/(-1) and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2131*h**2 + 2*h + 767 wrt h?\nAnswer: -4262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -14. Let x = 13 + i. Let g = 6.0000035 - x. What is g rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 969 and 6587053.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*l - 5 = -4*a, 0 = 3*a - 4*l - 1. Suppose -a*f = 4*y - 5*f - 186, 5*f - 41 = -y. Suppose -y = -0*j - 2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1620466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/8 and -117\/33404.\nAnswer: 66808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1331*m**3 - 21*m + 53. List the prime factors of n(2).\nAnswer: 3, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 at least 247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 94*h**2 - 114*h + 28. Determine t(48).\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -19, -16, -7, 8?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*l**3 + 97*h**3*l - 706*h*l**3 + 6*l wrt l.\nAnswer: 12*h**3*l - 4236*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -42.\nAnswer: 11\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 41872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -890565595\/1697528 - 4\/212191. Let u = -524 - g. What is the second biggest value in u, -0.1, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 570 - 154 = 0. Differentiate -16 + 3 - 3 + l*u**4 - 6 wrt u.\nAnswer: 128*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 7*w + 3*v - 2156 = 0, -4*w + 8597 = 3*v. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200022100000 (base 3) to base 5.\nAnswer: 43012434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 9*p + 3. Suppose -29*f + 32 = -21*f. Let b(t) = 3*t**2 + 12*t + 4. Let w(v) = f*d(v) - 3*b(v). Let k(j) = -347*j. Determine k(w(r)).\nAnswer: 347*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2000 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 384691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 405 and 54?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2050 - 5154*z - 788*z - 2087*z - 1448*z - 2037.\nAnswer: -9477*z + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1218661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5581572 and 1301868.\nAnswer: 485596764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12101802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 1, 3, -1\/51, 7, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -240*a. Let i(q) be the third derivative of q**5\/20 + 876*q**2. Determine x(i(u)).\nAnswer: -720*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/4039260 and 117\/21893960.\nAnswer: 1510683240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0526 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.023421 * -0.3\nAnswer: 0.0070263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8.6 (b) -3\/8 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 487273943 and 144742?\nAnswer: 974547886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6807545 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 17 = -8. Let r(f) = 3*f**3 + 118*f**2 - 79*f + 41. Let o be r(-40). Let i = 23\/210 + 1\/42. What is the second biggest value in i, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*-1*6\/(-9). Let i be (-2 + 0)\/(2\/(-85)). Suppose -d*t + t = -i. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.5 and 113.\nAnswer: 114.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:09 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4. Suppose 1 = -3*x + x - o, 4*x + 12 = -4*o. Which is the nearest to 1\/3? (a) -0.5 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 9 = 9*y + 3, 38*y = 41*y + 6 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*x - 9 - 1, 3*u + 5 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/9 + (-44)\/(-198) - 344\/(-144). Let f be (-10)\/(-6) - 2\/3. What is the nearest to f in k, 16, -2, -1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/40 + (-7392750)\/(-147655000). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/2*((-3)\/18)\/(-8*8\/256)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 39*f - 10. Let u(x) = -x**2 + 19*x - 4. Calculate 2*p(w) - 5*u(w).\nAnswer: w**2 - 17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2577862.4600058 + -2577913.46. Let y = -51 - w. What is y rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p - 15. Let h(f) = -4 + 2*f - p + 7. Let x(s) = 4*s. What is h(x(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + 1 + -1 + sqrt(2057))**2 + 1)*-2.\nAnswer: -20590 + 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r**2 - 2*r + (0 - 4 + 1)*(93*r + 89*r - 188*r + 4*r**2).\nAnswer: -14*r**2 + 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-27))\/(154\/1911). Let u = -12\/11 + z. What is the smallest value in -2, u, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 226 - -1348?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/7 + 880*t**2\/7 + 2626*t\/7 + 1748\/7 = 0.\nAnswer: -437, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 13*z**2 + 14*z - 4. Let d = 48 + -42. List the prime factors of c(d).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z - 8. Let p = 5 - -1. Let x be n(p). Suppose 0 = -3*v + v + x. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2763648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 45 = 5*n, 4*x - 5*x = -n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.0821 and -43?\nAnswer: 44.0821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 11 + 1 = -4*h, -3*h = -3*n - 9. Let q be n\/(-2 + (-25)\/(-14)). Let t = q - 7. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2295 divided by -153.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101001 - -1001011100?\nAnswer: 10100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010122020022 + 1100?\nAnswer: 2010122021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 - 84\/18 - 4712\/(-1064)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 - 1973 = -49*s. Solve s = -20*y + 26*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.83, -2\/21, 3, 8, -9661 in descending order.\nAnswer: 8, 3, -2\/21, -0.83, -9661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g - 3*c = -23, -g - 2*c = -7. Find the second derivative of -9*v**4 + g*v**4 + 2*v - 2 - 2*v**4 - 4*v**3 wrt v.\nAnswer: -72*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 1\/3, 2\/11, -0.09 in decreasing order.\nAnswer: 1\/3, 2\/11, -0.03, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1856708.3827416.\nAnswer: 1856708.3827416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 33*g - 29*g - 8, 4*g = -4*u + 24. Suppose -7*t = -5*b - 9*t + 766, -u*t = -4*b + 620. What is the least common multiple of b and 49?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8206111, -16412215, -24618319, -32824423?\nAnswer: -41030527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**4\/24 - 7*t**3\/6 - 10*t**2. What is y(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r*r**(-2)\/r*(r*r**(1\/2)\/r)\/(r*r\/r**5))\/((r*r*r*r**(3\/2)\/r*r*r**(-2))\/((r\/((r*r*r**(2\/3)*r*r)\/r)*r)\/(r**5\/r))) assuming r is positive.\nAnswer: r**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -5 (c) -1498 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85229 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*p - 51. Let n(x) = -7 - 16*x + 11*x**2 - 2 + 3 - 6 + 16 - x**3. List the prime factors of n(p).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3792279 to the power of 1\/2, to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1922*h**3 + 0 + 0.\nAnswer: -1922*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -571*d + 571*d - 3*d**5 + (-4*d**2 + d**3 + 4*d**2)*(d + 0*d - 3*d)*(d + d + 0*d).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 18. Let l = v + 10. Suppose 284 = 31*w - 150. Calculate the smallest common multiple of w and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15327.26663 rounded to the nearest ten?\nAnswer: -15330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 94 + 106 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18)*-3*3. Let r = 39 + s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*j - s, -2*j - 5*s - 18 = -44. Solve l + 2*l + 9 = 2*c, 0 = -4*c + 4*l + j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 25)*(g + 0*g + g) to p + m*g and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.8 - -1.2. Let s = -42 - -30. Let n = s + f. What is the second biggest value in -3\/7, n, -2\/23?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = 2 + 2. Let w(c) be the second derivative of 0 + 0*c**3 - 7\/3*c**x - 2*c + 0*c**2. Let m(s) = -2*s**2. Give m(w(n)).\nAnswer: -1568*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.07 rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 4516086.\nAnswer: -23\/4516086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 5*m**2 + 2*m + 1. Let t be h(3). Let g be (-3)\/((0 - 1)*t). Which is smaller: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + (-47)\/(-3))\/((-43)\/(-2838))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*3*20\/(-48). Let y be 4 + (i - 0)\/(-3). What is the remainder when 1 + (y - (-1 + -2)) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + ((-1 + sqrt(475))*3)**2 - (sqrt(475) + 0 + 4))*4.\nAnswer: -360*sqrt(19) + 17120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (3\/(-6) - -4). Is ((-23)\/2)\/(p\/(3486\/7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 5) in base 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 3, d: 3}. Give prob of sequence ad.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202110121101222 + -10?\nAnswer: 20202110121101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1961 (base 13) to base 12.\nAnswer: -2245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.65 + 0.814. Let x = v - -1.176. What is x rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 89, 185, 317, 485?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 8*h**2 - 18*h + 26. Let y be v(10). Suppose -y*l + 54*l = 0. Does 19 divide l\/(-3 - 1) + 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1254528 and -73\/31920768.\nAnswer: 287286912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 5, v: 14}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 80160?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (213\/30 - 0)*(0 - -2). Let m = -14 + n. Sort 5, -3\/4, m, -4 in ascending order.\nAnswer: -4, -3\/4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - a**2 + 2*a**2 - 3*a**2 - a**2 + 0*a**2 + (a - 2 + 2)*(-2*a + 2*a - a) + 3*a + 5*a**2 - 5*a - 4*a**2.\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2237 + 2236.5. Let z = -0.08 - -2.08. Let b = z - -4. Put b, p, -1\/4 in descending order.\nAnswer: b, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37149 and 81809?\nAnswer: 14971047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g - 1. What is the remainder when u(-14) is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - v + 16, -2*n - v + 36 = -0*n. Calculate the greatest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000484455 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 3, 12, 45, 114?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 4:46 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22776.9485 rounded to the nearest ten?\nAnswer: -22780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 10*c - 14, 6*c - 5*r + 35 = 11*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24840*a**3 + 2576*a**3 - 37043*a**3.\nAnswer: -59307*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -202?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -5 + 0*b**5 + 0*b + 0*b**2 + 0*b**4 + 1\/3*b**3 - 5\/3*b**6. Find the third derivative of a(n) wrt n.\nAnswer: -600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 50. Let x(z) = z + 2. Let l(q) = d(q) + 4*x(q). Let n be l(6). Sort 3, 13, -5, n in descending order.\nAnswer: 13, n, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*24\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**17)**(-11)*u**15*u\/(u\/u**(4\/5)*u) assuming u is positive.\nAnswer: u**(-861\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 18 = 5*p, 0 = 5*p + 4*r - 2 - 9. Suppose -15 = p*g - 0. Let d = -5 - g. Do 2\/7 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3)*(2*h - 2 + 2)*((-5 + 4 + 0)*(-2 + 2 - 2*h) + 6*h - 3*h - h + 0 + 0 + h).\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, h: 5}. What is prob of sequence uh?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/3 + 1287743*d**3\/3 + 3433957*d**2 - 3863205*d = 0. Calculate d.\nAnswer: -1287735, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z + 25. Let j = 729 - 733. Let h(r) = 13*r**2 + 29. Let y(i) = 14*i**2 + 29. Let l(g) = j*y(g) + z*h(g). Differentiate l(b) wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 16*i - 10. Let n be t(15). Solve -4*w + 3*c - 24 = -0, -n*c = 3*w - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10767 and 362193.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.3792499003 take away 32?\nAnswer: -148.3792499003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 862441046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lacl when four letters picked without replacement from clclccaccccalccccc.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from {k: 3, w: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -511 - -511. Solve t = -53*u + 49*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l - 1. Suppose -4*c = -4*g - 34 - 34, 4*g + 87 = 5*c. Let d = 66 - c. Calculate the remainder when d is divided by t(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527 = -2836*b + 2867*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55931, -56453, -56975, -57497, -58019, -58541?\nAnswer: -59063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*o - 85 = -t, -98*o + 95*o = 5*t + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29409.3 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2 - 591*r = 0. Calculate r.\nAnswer: 0, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**2 + 26*i**2 - 283*i**2.\nAnswer: -277*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-2))\/r**(-2\/9) assuming r is positive.\nAnswer: r**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/36*(-17)\/((-1904)\/(-192)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g. Let x(j) be the first derivative of 4*j + 8 + 1\/2*j**2. What is x(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422, -842, -1262, -1682?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.229 + 92.929. Let f = z + -99. Let d = f - -6.2855. What is d rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140cd (base 16) in base 3?\nAnswer: -2010110000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t + 5. Suppose 11*n = -5*n + 144. Let b(v) = 20*v + 21. Calculate n*f(q) - 2*b(q).\nAnswer: 5*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - r**4 + r**3 + (-76*r**2 + 168*r**2 - 240*r**2)*(2*r**2 - 5*r**2 - r**2)*(-1 - 2 - 1).\nAnswer: -2369*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 27 = -4*d, -2*p + 3*d = d. Suppose -3*y - 12 = 4*t - t, p*y = -15. What is the least common multiple of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*3\/4*(-408)\/(-1836)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 - -0.910988231.\nAnswer: -74.089011769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-144)*3)\/((18\/(-513))\/(-2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*g - 22*g + 38*g = -72*g - 966 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 37*n - 54. Let m be d(-16). Suppose 44 = -m*j - 60. Which is greater: -11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5\/2 - 105*q**4\/2 + 5*q**3\/2 + 525*q**2\/2 - 2*q - 210 = 0.\nAnswer: -105, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2464)\/2772*3\/(-148)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341578 is divided by 1371.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 50 - 22*v to the form p*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 194160+-0.21997\nAnswer: 194159.78003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**2 - x - 4. Let b(a) = 79*a. Give b(p(y)).\nAnswer: -711*y**2 - 79*y - 316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95600415 a multiple of 980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3838 to 2 decimal places.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -61*j**3 - j**2 + j. Let w be k(1). Let i = w + 117. Let z = -27 + i. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 6*g**2 - g + 8. Determine p(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**2 - 12*z - 1. Suppose -2*r = -7*r - 40. Does 3 divide i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6566 - -7058.3. Round n to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 94 = -22. Calculate the highest common factor of f and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006934384 rounded to 6 decimal places?\nAnswer: -0.000693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h - 21*h + 13*h = 564 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -h + 199, -3*h = -3*s + 155 - 767. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -496 + 529. Suppose 0 = -41*k + h - 197. What is the second biggest value in k, 11, -2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10 + 29 + -8. Let o = f - 21. Suppose 0 = 2*m - 4*n + 2, 0 = 4*m - 2*n - 3*n + 10. Which is the closest to -0.4? (a) o (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2.1, -55, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-665)\/28 - 2\/(-8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/(b*b**(-13)*b)*b)\/b)\/b*b)*b)**(-18)*b\/((b\/(b*(b*b\/(b*b\/b**(-15\/8)))\/b))\/b)*b\/((b**(-1\/15)\/b)\/b)*b assuming b is positive.\nAnswer: b**(21983\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 14*h**2 - 17*h + 7. Suppose 45*p + 136 + 1125 = -52*p. Give g(p).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + 2*m)*(-2 + 2 - 1)*(0 - 7 + 10)*(5*m**4 + 4*m**4 + 7*m**4 + (-6*m**3 - 14*m**3 + 6*m**3)*(0 - 4*m + 0)).\nAnswer: -432*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 1\/1 - -6. Suppose -m - 40 = -11*m. Solve -m*p - 24 = -4*y, u*p - p + 15 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.8 - -8. Let v = f - -11. Let w = 5 + -4. What is the smallest value in v, w, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262122 is divided by 58003.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205633592 and 80968.\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:59 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 2066?\nAnswer: -826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/21*(-8 - 13) + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 817*a**2 + 61572*a - 81. Give y(733).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32593, 65173, 97757, 130345, 162937, 195533?\n\"Answer: 2*u**2 + 32574*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -95830 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 5*p**3\/6 + 45*p**2\/2 + 257*p + 2. What is y(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r = 145 - 457. Solve 10*m = -r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m. Suppose 3 + 1 = -4*y. Let s be u(y). Factor 1\/4*b**2 - 1\/4*b + s.\nAnswer: b*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.881738 months in decades?\nAnswer: 0.19068115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4 + 221610*w**3 - 1329795*w**2 - 1994610*w + 3102792 = 0?\nAnswer: -73876, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 166 + 4 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*f, -2*f = 3*x - 5 - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 28581602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i + 4. Let g be r(1). Let m(u) = 27 - g + 4*u + u - 11. Let y(b) = 14*b + 5. Calculate -8*m(l) + 3*y(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 113*d - 3164. Let s be n(-62). Let o = 3 - 2.9. Let p = -0.1 - -0.2. Which is the nearest to o? (a) 1 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = -0*j. Suppose 3*d = j*f + 10, -2*f - 16 = -0*f + 4*d. Let v be 14\/f + (-1)\/2. Let u(a) = a + 5. Calculate u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -15. Let j(p) = 9*p + 15. Let u(f) be the first derivative of -5*f**2 - 16*f - 82. Let s(m) = a*u(m) - 7*j(m). What is s(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 5*c + 9, 6*y - 4*y + 4*c - 10 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 26. Calculate l(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -411240 (base 5) in base 15?\nAnswer: -3e30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (23 - 6) - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 926791982 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**3\/3 + 9*g**2\/2 - 16*g + 1. Let q be b(-11). Let w = q - 11. Sort w, -1, 4.\nAnswer: w, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 + 143\/220. What is the closest to 0.034 in 2\/19, w, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8352\/1392 - (3 - 59).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*m - 2 - 5, -3*z = 3*m - 12. Let h = 2 - 4. Let s = -143 - -140. Sort z, -0.4, h, s.\nAnswer: s, h, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0073873 to four decimal places.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -804 - -969. Calculate the highest common factor of 4785 and p.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150970805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 369*v**2 + 168873*v - 22439272.\nAnswer: (v - 622)**2*(v - 232)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -20, -41, -68, -101, -140, -185?\n\"Answer: -3*d**2 - 6*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -3\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -12. Let i = -30\/17 - -176\/119. Is m >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17765, -17781, -17831, -17933, -18105?\nAnswer: -18365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, 234, 233, 232, 231, 230?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*w**3 + 18*w - 20*w + w - 7*w**2 + 0 - 2 to c*w**3 + o*w + a + v*w**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + c = -3*d - 19, -27 = d - 3*c. Let t(q) = 2*q - 2 + 11*q**2 - 3 - 13*q**2 - 7. Let s(z) = 1. Determine d*s(h) - t(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -132) + -75 + -15.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**14*w*w**(-1\/3))\/(w**(1\/2)\/(w\/(w\/w**(-3\/14)*w))) assuming w is positive.\nAnswer: w**(272\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*sqrt(119) - sqrt(119) - sqrt(119) - sqrt(119) - sqrt(119) - sqrt(119)) - 1*sqrt(119)*-2)*5)\/(sqrt(567)*-1 - (5*-1*sqrt(7) - sqrt(7))).\nAnswer: -220*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -15 - (-74 - -79).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(1\/4*-3). Suppose a*p + 39 = -41. Let t = 55 + p. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = -44*u + 85. List the prime factors of (-7936)\/u + 49\/21.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15496231 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -966*k - 88*k - 762*k - 177*k - 60*k - 589*k.\nAnswer: -2642*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 5. Let l(s) = 8*s - 14. Let f(i) = -14*h(i) - 5*l(i). Let t(o) = 2*o - 4 + 6 - 2. Give f(t(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34544519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42 - 137?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 895, -6, -0.3, -6\/5?\nAnswer: 895","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 - 357*y + 2688. Give j(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-19) + (-30924)\/(-76) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z = -42*z + 12. Let o be 568\/z + 52\/(-78). Suppose -3*f - 13 = -o. What is the least common multiple of 9 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 599\/145 + -27\/29. Let o be ((-23178)\/8)\/((-9)\/6). Let r = o - 1975. Find the common denominator of t and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863 = 2*v + 3*h + 880, 3*h = 3*v + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**2 - f + 4. Suppose -2*r + p + 14 = 0, -13*r + 15*r + p = 18. Let w(l) = -17*l**2 - 3*l + 11. Determine r*n(z) - 3*w(z).\nAnswer: 3*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w. Let g(p) = -8*p - 4. Let q = 16 - 17. Let n(v) = v + 1. Let a(x) = q*g(x) - 4*n(x). Give a(b(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -4, 5 in ascending order.\nAnswer: -6, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 2*k**2 + 3*k**2)*(4*k - 2*k**3 - 4*k) - k**5 - 2*k**5 + k**5 + (2*k**2 + k**4 - 2*k**2)*(-71*k + 154*k + 33 - 79*k).\nAnswer: 8*k**5 + 33*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 27*l**2 - 401*l + 13331. Give r(29).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.747349487 to two decimal places.\nAnswer: 5.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -42. Is -4*n\/(-12)*18 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*l - 1 = 38, -87 = -4*f - 3*l. Suppose 3*i - 7 + f = p, -p - 4*i = 18. Suppose -k - u + 4 = 0, 0 = 2*k - 3*u - 3. Solve 0 = k*y - p - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n**4 + 0*n)*(-1 + 2 + 0) - 5*n**4 + 2*n**4 + 0*n**4 + (-2*n + 3 - 3)*(2*n**3 + n**3 - 5*n**3) - 2*n**4 + 6*n**4 - 3*n**4 - n**4 + 0*n**4 + 5*n**4.\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1011984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -5)*(-20)\/72. Let p = 23\/24 - l. Is p at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 8. Suppose 7 = 9*f - 11. Let z(r) = 6*r**2 + 2*r**2 - 21*r**2 + 5*r**2 + 4*r + 9*r**f. Calculate z(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) -0.4 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -385, -2086, -6527, -15022, -28885, -49430?\n\"Answer: -219*d**3 - 56*d**2 - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19929128969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6453155.15015 take away -272?\nAnswer: -6452883.15015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-684)\/(-52) + 4\/(-26). Suppose 0 = 3*t + 1 - q. Find the third derivative of 6*s**5 - s**5 - s**2 + t*s**2 - s**2 wrt s.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + -1)**2 - (-3*(sqrt(3) + 2))**2) + 3*sqrt(12)*-6.\nAnswer: -90*sqrt(3) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -56002.546 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*p - 1)*(-11 - 17 + 7).\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1250*y**3 + 104*y**2?\nAnswer: 7500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.603 + 2.603. What is the nearest to 0.1 in j, -1\/19, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, r: 2}. Give prob of sequence rt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 837*l**3 + 10*l**2 - 5*l. Let i(h) = 21344*h**3 + 256*h**2 - 128*h. Determine 5*i(s) - 128*m(s).\nAnswer: -416*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3\/8, -19, 0.066.\nAnswer: -19, -3\/8, -0.2, 0.066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -161, -142, -115, -86, -61, -46, -47?\n\"Answer: -z**3 + 10*z**2 - 4*z - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1683, -1612, -1553, -1512, -1495, -1508, -1557?\n\"Answer: -q**3 + 78*q - 1760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 7*t**2 - 12*t - 8. Let q be p(-8). Is (-8)\/q - 2632\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**4\/24 - 7*f**3\/3 + 76*f**2. Let r be b(-18). Solve -r*x = 2 - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - 0. Let g = -301\/3 - -101. What is the nearest to -2 in g, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.79, -301\/5, 1\/4, 1 in descending order.\nAnswer: 1, 1\/4, -0.79, -3, -301\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5*t + 91 - 163, 3*t + 2*p - 36 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*v + 37*v + 44*v.\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**3*x**5 - u**3*x + u**2*x**2 - 165*u*x + 1395*x**5 + 11 wrt x.\nAnswer: 180*u**3*x**2 + 83700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.278162 milligrams to grams.\nAnswer: 0.009278162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 + 10*f - 10. Let d = 53 - 63. Let x(h) = -h**2 - h + 1. Let p(j) = d*x(j) - z(j). Let o(l) = 3*l**2. Determine o(p(y)).\nAnswer: 588*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 7*y**2 + 6*y + 2. Suppose 17 = 4*k - 7. Calculate the least common multiple of 16 and i(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3457\/434 - -11\/62. Find the common denominator of 44\/81 and t.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 90*i**2 + 266*i - 545. What is w(87)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z - 3*z**3 + 10*z - 2*z**4 + 0*z + 3*z**2 - z**4.\nAnswer: -3*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 + 26*g - 29. List the prime factors of c(11).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.02, -0.3, 1.301 in descending order.\nAnswer: 2, 1.301, -0.02, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxzxxzxxz. What is prob of sequence zz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 0*r + 5*r - 5*r + 1266*r**2 - 1270*r**2. Let p(s) = 37*s**2. Calculate b(p(w)).\nAnswer: -5476*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:37 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 4 - (-4 - -2). Suppose 0 = o*z - 2*z - 12. Let q = -15 + 29\/2. Is z at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 4*g - 5. Let j(o) = -3*o**2 - 17*o + 21. Give 2*j(n) + 9*s(n).\nAnswer: 3*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 4)*(-1)\/(-4). Which is bigger: v or 2\/63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*m - 17637 = 165*m - 2*k, -18 = -3*k. Which is greater: -3526 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1 (c) 0.03 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 + 358 = -12*a. Which is smaller: a or -80?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzkzknbzkzkkbbirb. What is prob of picking 2 b and 1 i?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 16. Let w be 1\/(-7)*14\/g. Which is the nearest to 3? (a) w (b) 0 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 9. Let n be h(-6). Suppose -t + 1 = -n. Suppose t*l = 153 - 17. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 19*i = -6. Let l be i + 91 - -2 - -2. What is the greatest common divisor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 12. Let k be x\/70 + (-6)\/(-15). Put -0.5, k, 0.1 in descending order.\nAnswer: k, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*f - 419*f + 63*f**2 + 634*f**3 - 63*f**2 wrt f.\nAnswer: 3804*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 55425, 1667 in decreasing order.\nAnswer: 55425, 1667, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -794 + 808. Solve 3*k = -2*d - 4 - 15, -3*k - d - w = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -131, -257, -383, -509, -635?\n\"Answer: -126*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198 + 197.8. Let p = 0.13 + w. What is the second smallest value in p, -5, 10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/69969938 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -212, -0.5, 1, 69, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - (-20)\/4*(-2)\/(-5). Let w be 173\/(-7) + (-10 - o). Let h = 2179\/42 + w. Calculate the common denominator of -79\/18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178159891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3925.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -h + 61. Sort 5, 2, h in increasing order.\nAnswer: 2, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -651552 divided by 3?\nAnswer: -217184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {f: 8, g: 1, e: 9, i: 1, v: 1}?\nAnswer: 36\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by (-60)\/(-5)*(-4)\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10154485 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -15456.8\nAnswer: -1545.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206175?\nAnswer: 5, 48247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s + 0*s - s**2 + 1 + 0*s - 2*s - 15*s**3. Let r be x(-1). Suppose 0 = 3*b + r - 89. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 323. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2 + 3*x - 44. Let s(r) = -2*r**2 - r + 15. Let i be -2*(-11)\/(-77) + 80\/(-14). What is i*k(w) - 17*s(w)?\nAnswer: -2*w**2 - w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(20)\/sqrt(64)) + 5 + (sqrt(80) - ((sqrt(80) - (sqrt(80) + 2*sqrt(80))) + -1)).\nAnswer: 6 + 51*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11194 - -11229. Calculate the smallest common multiple of 105 and u.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 78*t**2 + 76*t**2 + 7*t. What is h(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (1 + -3*(0 + sqrt(72)))*-1)*6)**2.\nAnswer: -3888*sqrt(2) + 23652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + -71 + 8\/2. Let a be 6\/9 + o\/(-18). Let r(f) = -f**2 + 2*f + 4. Determine r(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3))**(-1\/43))**(-20\/13)\/(c**1\/(c\/c**5)*(c\/(c\/c**(-1)*c))\/(c**(-4)*c)) assuming c is positive.\nAnswer: c**(-10102\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*v + 3. Let k be (-4)\/6*v\/4. Let r be k*2 - (-20)\/5. Solve 2*c + 2 + 0 = 2*q, 0 = r*q - 3*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 32 = 3*s + t, 5*s = -2*t + 72. Find the common denominator of 83\/12 and -3 - (s\/14 - 7\/28).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -657, -1683, -3177, -5139, -7569, -10467?\nAnswer: -13833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 1 + 2, -y + 2*v + 2 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**5*c*c**(3\/11)*c)\/(c**(2\/5)\/c*c*c*c*c**13\/c) assuming c is positive.\nAnswer: c**(-887\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p + 2*k - 68, 353 = 5*p - 3*k. Calculate the greatest common divisor of 42 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2. Let w(m) be the second derivative of m**3\/3 - 7*m. Give p(w(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 12:16 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/165810 and -11\/7063506?\nAnswer: 35317530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l. Let t = -7 + 7. Solve -4 = -l*x - x + a, 2*a + 2 = t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 11*x**2 - 9*x + 10. Let w be z(-10). Suppose w = 4*y - 15588 - 14012. What is y rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -901 + 928 - (3 + 2 + -2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**3 + 156*c - 156*c + c**2 + 2*c**2.\nAnswer: -18*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/8, 3, 4, -3, -43?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = 10. Let m = f + 41. Suppose 32 = g + 4*v, 24 + 36 = 5*g - 5*v. What is the greatest common factor of m and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*j + 2*j + 155 - 67 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, h: 5, c: 2, b: 2, f: 1, j: 2}. Give prob of picking 1 h and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3696 and 32?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i*t**4 - i*t**3 + 7546*i*t**2 - 14*t**4 + 8*t**3 wrt t.\nAnswer: -96*i*t - 6*i - 336*t + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dld when three letters picked without replacement from delddlldlll?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24265, -24202, -24101, -23962, -23785?\n\"Answer: 19*h**2 + 6*h - 24290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*o = 0, -5*o + 3 = -4*y + 12. Solve 5 - y = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 226214096*q**5 + 12235845*q**2.\nAnswer: 13572845760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let g be (13\/(-4))\/(-1) - 2. Which is the nearest to g? (a) y (b) -2\/3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5721 + 8022. What is the remainder when n is divided by 767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180.83 - 181. What is the fourth biggest value in -2\/7, -0.5, 1, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((-6960)\/45 - -160).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 + 15*g\/2 - 21.\nAnswer: 3*(g - 2)*(g + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 3*m**5\/5 + 3*m**2\/2 - 6. Find the second derivative of y(i) wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 3*g - 2. Let i(a) be the first derivative of -a + 1\/2*a**2 - 1\/3*a**3 + 12. Calculate 3*i(b) - w(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/6 + 28*m**3\/3 + 82*m**2 + 632*m\/3 + 512\/3 = 0. Calculate m.\nAnswer: -4, -2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 + -1293\/8. Let x = 10 - 10.2. Let n = 0.2 + -0.2. What is the nearest to n in x, w, -4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 3926.4719\nAnswer: 785.29438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -1) + (9 - 5). Suppose -5*p + 5 = -5*b, 4*b - p + 0*p = l. Suppose 0 = -5*j + b*v + 4855, -6*v = -2*v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-38))\/(((-27)\/36)\/((-11)\/((-5742)\/27))).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/3, -10, -5, -24147?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p + 11. Let z be o(-7). Let q = 29 + z. What is the second derivative of -q*y**3 + 27 - 27 + 11*y wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89\/35 + -12\/5. Let s = 0.058 + 0.742. Let z = 5.8 - s. Which is the nearest to -6\/7? (a) z (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 105 = -2*j. Suppose -z = 4*z - j. Suppose 5*p - 2*b = -7*b + 5, -p - z = 5*b. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 7*r + 5. Let c be s(5). Let j(v) be the third derivative of -v**4\/12 - 9*v**2. Let o = -12 + 8. Let h(n) = 2*n. Give c*j(k) + o*h(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13032 times 0.13?\nAnswer: -0.0169416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*b - 1461, 0 = -j + 14*b - 19*b + 487. Calculate the remainder when j is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35374470*o**6 - 41897295*o**2.\nAnswer: 4244936400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201278587 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2268) + (sqrt(2268) + 1)**2 + (0 + sqrt(63) - sqrt(63))*2.\nAnswer: 54*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 12*i + 222000 = 0. Round i to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1060277 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*q + 2 + (-3 + 4 - 2)*(23*q + 76*q - 54*q).\nAnswer: -47*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227.39 + 2.39. Let b = -223.14 - u. Round b to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/255030 and -11\/382545?\nAnswer: 765090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179004?\nAnswer: 2, 3, 7, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o + 17*o + 15*o - o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6358 - 4874 = 1248*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/12 - y**4\/12 - y**3\/3 + 15*y**2. Let b be p(-1). Solve b*z - 3*a - 11 = -a, -2*z + 11 = -3*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 8. Let g = 1.98 + 0.02. Let z = 3.99 - -0.01. Sort g, z, r in descending order.\nAnswer: z, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1666*x. Let s(g) = 11*g. Determine l(s(f)).\nAnswer: -18326*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -920, -1635, -2098, -2183, -1764, -715, 1090?\nAnswer: 3777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 151 = 4*a + x, -2*a + 135 = 5*x. Find the common denominator of (-4 - 7993\/(-2184)) + 20\/a and 125\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 6:49 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a + 48*a + 47*a - 137*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -45590.17 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5741.372 nanograms to kilograms.\nAnswer: 0.000000005741372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3151\/9453)\/((1\/(-2))\/((-216)\/(-3)))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1014431 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -309794*a**3 - 245855*a**2?\nAnswer: -1858764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6980 - 6744. Solve -228*j + o*j - 40 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, -2\/9, -4, -4\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -513, 4, -2\/13?\nAnswer: -513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/10 + (-1)\/2. Let d be ((-3)\/6 - -1)*s. Suppose d = f + 4*c - 3*c + 1, -f - 11 = 3*c. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3255 + 3264. Solve 0 = -3*t - 5*s - 34, -n + 37 = -t - 5*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119448 and 16212.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - d = 6*d - 8*d - 118, d - 74 = 208*u - 2*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 54, 86, 122, 156?\n\"Answer: -n**3 + 11*n**2 - 4*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*q - 18*q - 6*q**3 - 276*q + 20*q.\nAnswer: -6*q**3 - 439*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221 - -1423014?\nAnswer: 1422243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 214816753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s - 540*s**2 - 1400*s**2 + 163 - 161 - 7*s to the form c + w*s**2 + a*s and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 1:28 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13020120 (base 4) to base 16.\nAnswer: 7218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 64*o**2 + 26625*o - 1765966. Calculate u(66).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from zikskii.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154810 divided by 4.\nAnswer: -77405\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/29 (b) 4 (c) -4 (d) -5\/2 (e) -9 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x + 2*y, 16*y = x + 11*y - 10. Let i(k) = 7. Let t(f) = f. Let w(n) = -i(n) - 3*t(n). Let h be w(-5). Solve -2*r - 2 - h = x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 4) in base 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142313 (base 5) to base 9.\nAnswer: 8150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15475 rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*a + 3. Is 422*(-1 + (-9)\/a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -720, -2899, -6544, -11655, -18232, -26275?\nAnswer: -35784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -1\/242 (c) 1\/4 (d) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 19. Let g be k(-17). Put 1\/4, -0.4, g, 1\/2 in descending order.\nAnswer: 1\/2, 1\/4, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 914842*k**3 - 13 + 13 - 914730*k**3.\nAnswer: 112*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9240 and 75341640?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 160979 * -0.4.\nAnswer: -64391.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.5 + 46. Which is the nearest to o? (a) -4\/7 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7771308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaataaataatataaaatt. Give prob of sequence ta.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011770089 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 6:58 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5392 * 54.\nAnswer: 191.1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49612384 and 24806192?\nAnswer: 49612384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*z + z**2 - 314*z**2 - 479*z.\nAnswer: -313*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022514371 rounded to six decimal places?\nAnswer: -0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -82 - 128. Suppose 5*c = c + 16. Suppose 5*u = z, 2*z + u = -c*u + x. Calculate the remainder when z is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -0*l - 8*l. What is the remainder when 34 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 27*p**2 - 47*p + 72. Let s be j(-25). Let f(g) = -3*g. Let v(k) = 14*k - 1. Calculate s*v(m) - 15*f(m).\nAnswer: 3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3148 - 18889\/6. Let j = 55 + -56. What is the third smallest value in 12, -1\/10, j, u?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 5*v - 50 = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -842062.\nAnswer: 7578558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/13, 2\/9, 0.1, -2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:45 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 38563 in increasing order.\nAnswer: -4, 0, 38563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/26778 and 71\/15.\nAnswer: 133890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 874 and 16?\nAnswer: 6992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 4*u - 3. Calculate o(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 + 20*o**3.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 324 divided by 3\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -170 in decreasing order.\nAnswer: -1, -4, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8965009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-16)*2*(-19 + 3). Suppose -874 = -s + 4*g, q*s + 270 - 3856 = -2*g. List the prime factors of s.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from imttttmty.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p + 4. Let r be v(-8). Let w = -30889\/2 + 217281\/14. Let x = w - r. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 76*f - 219.\nAnswer: -(f - 73)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 172*m + 1163 - 131 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -368020 rounded to the nearest 1000?\nAnswer: -368000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -419, -1\/8, -0.1, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1218)\/12*12\/(-7). Suppose 4*t - i = 2*t. Does 29 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 3*p - 8. Let k(t) = -t**2 - 3*t + 7. Let v(c) = 7*k(c) + 6*y(c). Let m be v(-2). Sort 2, m, 5 in ascending order.\nAnswer: 2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 4\/5, 0.4 in descending order.\nAnswer: 7, 4\/5, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3*p - 2)*(0 + 0 - 2) + 0*p + 2*p - p)*(-2 + 1 - 5).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/3))**(1\/63)\/(((b*b\/(b*b*b*((b*b**(4\/7))\/b)\/b*b))\/b*b)\/(b\/b**(-10\/9))) assuming b is positive.\nAnswer: b**(100\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.044 - 3.956. Which is the biggest value? (a) -9\/8 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 75*m**2 + 4239*m + 13311.\nAnswer: -3*(m - 29)*(m + 3)*(m + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 - 2*u - 3. Let c = 5680 + -5679. Let b(p) = -65 + p**2 + 65. Give c*z(j) + 6*b(j).\nAnswer: j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36.385 + 37. What is c rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**2 + 6*c**6 - 17*c**2 + 8*c**2 + 0*c**6 wrt c.\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ese when three letters picked without replacement from {e: 9, s: 5}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*q + 2*q**2 + 14*q**3 + 30*q - 14*q as n + h*q**3 + t*q + x*q**2 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 49 + 105 = 542*j - 396 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 l when four letters picked without replacement from {l: 2, h: 1, k: 4, n: 1, c: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m - 2220 = 45*m. Find the common denominator of 36\/427 and m.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -27\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/((r**16\/r)\/r*r))))**(-5\/18)\/(r**(-7\/2)*r**(-3\/17)\/r))**(-8\/13) assuming r is positive.\nAnswer: r**(-10484\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/54 and 127\/5520.\nAnswer: 49680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**2 + 225*c + 74. Let z be f(-32). Solve -2*l - 14 = -5*g - z, -5*g - 32 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -24?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -21 + 181. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i + 14. Let p(q) = 8*q - 25. Let k(v) = 3*p(v) + 5*r(v). What is k(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2 (b) -2\/9 (c) 2.1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -6 + 34 + -1 - (47 + 2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -1794, -4153, -7456, -11703, -16894?\nAnswer: -23029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 - 809*r**2 + 1090*r + 221319. Calculate w(-270).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001 (base 2) to base 13.\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide (94\/(-8) - (93 + -93))*2320\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60454099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l**3 + 2*l)*(2*l - 19*l + 7*l) - 4*l - 3*l**4 + 4*l + (2*l**2 - 2*l**2 - 3*l**2)*(-l**2 + 0*l**2 - 2*l**2).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 935870 by -5.\nAnswer: -187174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 40. Solve 2*s - 3*s - 4 = l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, r: 3, z: 1, q: 9}. Give prob of sequence qjrq.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -2*m**2 + 0 + 0*m + 0*m**4 + 1\/60*m**5 + 0*m**3. Let g(h) = 3*h. Determine d(g(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7505, 7425, 7211, 6797, 6117, 5105, 3695?\n\"Answer: -11*h**3 - h**2 + 7517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/15)\/7)\/(3\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 524\/749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*r + 24, 5*r - 24 = 3*c - 2. Suppose p = -4*g + 3962, -4*g = 8*p - 3*p - 3970. Let z be (-1)\/(-10)*-2 - (-234)\/g. Which is greater: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9801985 * -1.\nAnswer: -0.9801985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61783875051\/7439236 + 5674506\/683. Let t = c - -1\/1556. Calculate the common denominator of t and (74 + -1)*(-1)\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = -551*v + 557*v for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 10, 38, 74?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 2*v**2 + 10*v - 6. Let d be u(4). Let q be 2\/(-4)*(d - 8). Solve 0 = 3*r + 5*j + 4, -q = -3*j - 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 = 9*x - 1095. Let m = x + -17. Calculate the highest common divisor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1142 - -1130. Sort -0.02, 2\/9, -1, u in decreasing order.\nAnswer: 2\/9, -0.02, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1252?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 45409320*d**2 + 103101089097225*d - 3505384536328250.\nAnswer: 5*(d - 4540915)**2*(d - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 - 88*n**2 + 66*n + 180. Let q be t(-30). Factor 0*g**2 + q + 7\/2*g**4 + 2*g**5 + 3\/2*g**3 + 0*g.\nAnswer: g**3*(g + 1)*(4*g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most 4119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 10259*p + 2 - 32)*(-1 - 1 + 0) + 0*p - 2*p + 0*p.\nAnswer: 20516*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1500637941 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:30 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/2 + 203*x**2\/2 - 205*x = 0. Calculate x.\nAnswer: -205, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/739 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*u - 5 = 0, 4*l - 49 = -0*l - 5*u. Suppose 5*c + l = 1. Is c at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-291)\/(-15)*(-180)\/(-216). Which is greater: t or 16?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {l: 1, x: 1, b: 2, r: 3, j: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + 4 + 44 - 7 - 10\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3, r - 3*t + 7 = t. Find the second derivative of -v**4 + 2*v - r*v - 4*v wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m + 19. Determine y(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816178 = -133*a + 49652. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p + 13. Let s(f) = -10*f - 14. Let o(c) = -7*l(c) - 6*s(c). Let n = -15 + 9. Give o(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 153*i**2. Let h(k) = 5*k**2 + 178. What is h(y(j))?\nAnswer: 117045*j**4 + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*p - 1182, -17*x = -18*x + p + 237. What is the greatest common divisor of x and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in -2\/17, -2\/133, 0, 2\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -1 - 18\/6. Let s be h*8\/(-20)*1. Solve c + 4*b = 3*b, -3*c = -s*b + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**2 + 5*u - 175. Let v(o) = 1. Calculate -4*v(q) + y(q).\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 1800504?\nAnswer: 12603528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -6 - -7) + -2 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/8)\/((-2)\/48)*3\/(-63).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 47*v**3 - 46*v**3 + 18*v**5 - v**5 + 4*v**4 + (-3*v + 3*v - v)*(0*v**4 + v**4 - 3*v**4) + v - v + 2*v**5.\nAnswer: 21*v**5 + 4*v**4 + v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 2, r: 5}. What is prob of sequence rrr?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 366, 658, 998, 1386, 1822?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzgg when four letters picked without replacement from gggggggzzg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3 - 9. Suppose -2*k - 78 = -4*j, -t*j = 2*k - 6*k - 54. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2 in ascending order.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 + y - 1. Let s(n) = -10*n**3 + 5*n**2 - 2*n + 7. Determine -s(p) - 5*w(p).\nAnswer: 5*p**3 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 + f + 2. Let u(s) = -4*s - 34. Let h be u(-8). Let y(b) be the second derivative of -b**4\/12 + b**2\/2 - 23*b + 2. Determine h*y(o) + r(o).\nAnswer: 6*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/20 - (186\/(-740))\/(-1). Let d = -3201\/370 - l. Calculate the common denominator of 113\/40 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257.19 + -250. Let w = -7.474 - 0.226. Let c = w + k. What is c rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -278\/33 at most as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 - 81*y - 129. What is the smallest common multiple of c(-17) and 57?\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58b35 + 4?\nAnswer: 58b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdwccdcdxcqqp. Give prob of sequence cp.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 6:06 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 428510\/777 equal to 552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**4\/12 + 3*j**2. Determine h(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 292, 886, 2022, 3880?\nAnswer: 6640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -146*b - 6. Suppose -2*r = -26 + 36. Let i be d(r). Suppose -i - 2048 = -21*t. Is t a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggetegttgggteggt. Give prob of sequence tt.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 60. Let t(z) be the third derivative of -3*z**2 - 1\/21*z**3 + y + 1\/210*z**5 + 0*z + 0*z**4. Factor t(m).\nAnswer: 2*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 79926.\nAnswer: 39963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 minus -11679253267?\nAnswer: 11679253264.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4544 (base 8) to base 16\nAnswer: -964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*v - 56*v + 22*v - 7)*(2*v**2 + 0*v + 0*v) as c*v + w*v**2 + x*v**3 + n and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 8070?\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373133584 divided by 842288.\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 30*w**2 + 65*w + 37. Let g be l(-32). Suppose 5*b - 10*b - 3*r = -50, -3*r - 80 = -g*b. Calculate the remainder when 51 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbbwbwblblblwwl. Give prob of sequence wlww.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**3 - 5*g**2 - 8*g - 3. Suppose 3*u + 8 = 2. Let r be k(u). Solve -20 = -5*c - 2*s, 4*c - 2*s = 3*s - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*q + 91*q + 18*q**2 - 46*q)*(-3*q - 1 - 3*q + 4*q).\nAnswer: -36*q**3 - 14*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + 747)*((-2)\/(-9) + (-38)\/9). What is n rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5\/3 - 40*d**4\/3 - 25*d**3\/3 + 355*d**2\/3 - 455*d\/3 + 169\/3 = 0 for d.\nAnswer: -13\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -7, 3\/43 in decreasing order.\nAnswer: 23, 3\/43, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 o, and 1 v when three letters picked without replacement from vktvzozvvkttzvv?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4597\/120 + 905\/24. What is the nearest to -8 in y, 4, -5.2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/42)\/(4\/28). Is y > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = 7*c + 5*a, 4*c + 2*a - 6 = 0. Let t be 8\/6*15\/(8 + -13). Suppose 3*p + 11 = 4*z, 0 = -4*z + p + 1 - 0. Put t, -5, c, z in increasing order.\nAnswer: -5, t, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1080532340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 11. Let r = 18 - 18. Let g be r - (-12)\/(-4) - -8. Sort 1, g, b in ascending order.\nAnswer: b, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1129644\/17 + 66450. Let m = 7 + -7. Which is the nearest to 1\/2? (a) m (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1495, -3244, -5249, -7510, -10027, -12800?\n\"Answer: -128*x**2 - 1365*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.74 + -3.26. Put -3\/44, a, -2\/9 in descending order.\nAnswer: -3\/44, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 14*c - 9. Let z be w(13). Let o = 11 - 2. Suppose o = -z*x + 5*x. Calculate the greatest common divisor of 6 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9944643 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 350724b?\nAnswer: 3507250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103863439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1112, 2194, 3276?\n\"Answer: 1082*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 85?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10186276 - 1735841?\nAnswer: 8450435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/2 + 52*f**3 + 2016*f**2 + 34560*f + 1630. Suppose r(m) = 0. What is m?\nAnswer: -30, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 6*j**2 + 0*j**2)*(-28 - 24 + 196) - 3*j**2 + 1 + j**2 - 3.\nAnswer: 718*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -1. What is the derivative of -4*l**v + 2 - 4 + 5 wrt l?\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 25 = -4*f. Which is the closest to -0.2? (a) 0.3 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -9*w**5\/2 + 1182*w**4 + 8049*w**3\/2 - 9192*w**2 + 3990*w = 0.\nAnswer: -5, 0, 2\/3, 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 21*b**3 + 4*b**2 + 67*b - 354. Give h(5).\nAnswer: 2706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 36, 40, 42, 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21500143 + 2?\nAnswer: 21500145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1020\/7 + -146. Let x = -0.193 + -0.007. Sort x, n, -2 in descending order.\nAnswer: x, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77214916771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/131 - -252\/655. Let 0*j + 0 + 2\/5*j**2 - t*j**5 + 2\/5*j**3 - 2\/5*j**4 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 3*t - 2*t**4 - 2 + 9*t**3 - 13*t**3 + 4*t**3 to the form x*t**2 + d*t + r*t**4 + l + f*t**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 6 + 12 + -14 + -16\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233015058 by 18.\nAnswer: 12945281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -95 * -0.3\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*20\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*v**4 + 244\/7*v**2 + 1600\/7 - 36\/7*v**3 + 1440\/7*v.\nAnswer: (v - 20)**2*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j**4 - 59900*j**3 - 121386*j**2 - 62908*j - 1463 = 0.\nAnswer: -1, -1\/41, 1463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 966 and 6417.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 118*r - 3185. Let p be i(27). Sort p, -11, -394, -5.\nAnswer: -394, -11, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-308)\/9 + (-14)\/(-63). Suppose -2*m = 7 - 1, 0 = 5*x - 2*m - 231. Let z = k + x. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 - 3 + 2*y + 0*y + 241 to the form c*y + w and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1388 - 77725\/56. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-99)\/(-5) + 40\/(-50). Let y = j - 21. Let a be y + (7 + -4 - -4). Solve m - f - 2 + 6 = 0, -a*m + 15 = 2*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/7 - 131997*x**2\/7 + 264003*x\/7 - 132003\/7.\nAnswer: -3*(x - 1)**2*(x + 44001)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 53. What is the smallest common multiple of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 11*l - 5*l. Is 1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f**(-9)*f)\/f)))**(-2)*(f**(-37))**(-18) assuming f is positive.\nAnswer: f**682","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 319291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + (-4*(sqrt(475) + (sqrt(475) - (sqrt(475) - (-2*sqrt(475) + sqrt(475))))) - (2 + -2*sqrt(475))))**2.\nAnswer: -20*sqrt(19) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) + sqrt(44)\/sqrt(4) + -1 - sqrt(11)) + 1.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 + 24*x**4 + 12*x**3 - 80*x**2 + 48*x = 0. What is x?\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1215 + -470. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 68 - 52 = 0. Find the second derivative of -14*s**5 - l*s + 0*s**5 + 46*s + s**5 wrt s.\nAnswer: -260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/35948 and -13\/22876?\nAnswer: 251636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 2:28 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 4*y**2 - 2*y - 2. Suppose 0 = -3*n - 16 + 4. Calculate s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018824 to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k - 4. Let d(q) = 25*q - 15. Let j(y) = 4*d(y) - 13*l(y). Determine j(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) - (-4 - -1). Let w(h) = -3*h + h + 48*h**2 - 47*h**2. Let g be w(o). Which is greater: g or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 5. Let g(i) = -16. Let h(o) be the second derivative of -3*o**2\/2 + 15*o. Let p(c) = 2*g(c) - 11*h(c). Give -6*p(r) + t(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g - 5*w + 3*w + 42 = 0, -140*g + 66*g - 4*w + 59 = -71*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**4 + 17645*a**3 + 88360*a**2 - 35220*a - 424080 = 0.\nAnswer: -4, -3, 2, 3534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 7) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25459*b = -28960*b - 329094 for b.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58202144 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-1 - (-7 - (-24 - -6))) - 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-675)\/(-360)*(0 + (-4)\/(-42)) and 93\/76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141645427 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 92\/36)*86. Let g = 296 - r. Which is the third smallest value? (a) -1\/11 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109245668?\nAnswer: 2, 7, 19, 29, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/16, -5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d7295 - 18?\nAnswer: 1d727b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Suppose -5*l = 5*a - 90, d*l - 6*l + 48 = 5*a. Calculate the least common multiple of l and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -104, -28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963644 is divided by 652.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t + 12. Suppose g = 2*z - 7 + 21, 0 = 5*g + z - 37. What is the common denominator of t\/(-3) - 82\/g and -47\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 2035?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 703.45?\nAnswer: -710.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 66 + 6. Let i = -8 - x. Suppose b + 2 = i. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (66\/(-8))\/((231\/44)\/(-21)) and 121?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from rrrkrslklclrrfk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmgmrrmvggv. Give prob of sequence vvrg.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19 - -1.39. Let y = f - -2.8. Which is the second smallest value? (a) -2 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x + 537. What is the tens digit of v(58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 4*m + 123. Suppose 0 = -5*r + 4*r + d - 1, 5*d - m = -4*r. Suppose -28*a + 129 = -186 + 119. What is the remainder when a is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = a + 41. Suppose 5*k + 40 = 9*u - 4*u, 0 = -a*k - 5*u. What is the smallest value in 5, k, 1\/43?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2)\/w)**(1\/13)\/((((w*w**(2\/13))\/w*w)\/w)\/(w*w\/(w**9\/w))))**23 assuming w is positive.\nAnswer: w**(-1886\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (967*x**2 - 484*x**2 - 85*x**3 - 483*x**2)*(-10 - 5 + 13).\nAnswer: 170*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5000) - (sqrt(5000) + sqrt(5000)*2))*4)\/((sqrt(120) + sqrt(120) + sqrt(120) + -3*((2*sqrt(120) - sqrt(120)) + sqrt(120)) + sqrt(120))\/sqrt(12)).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -543, -796, -1031, -1242, -1423, -1568?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0*j**3 + 1\/70*j**5 + 0 + 0*j**2 - 15*j - 1\/105*j**6 + 0*j**4. What is h in v(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 33 = -3. Solve -2*h - f*d = 0, 4*d - 5 = h + 3*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*d - 56*d + 11*d)*(6*d - 2*d - 3*d) to the form y*d + a + n*d**2 and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 90 = 12*b + 230 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 670*b**3 - 2*b**2 - 5*b + 11215.\nAnswer: 2010*b**2 - 4*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 9 = g, -3*i + 5*g = 8. Factor 0 + 5\/4*k**i - 3\/4*k**5 + 0*k - 1\/2*k**3 + 0*k**2.\nAnswer: -k**3*(k - 1)*(3*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4*m = l - 255, 3*m = 4*l - 995. Let u = 251 - l. Solve u = -4*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 7, s: 1, b: 2, k: 5}. What is prob of sequence bl?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.6706 micrometers to nanometers.\nAnswer: 74670.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574136176?\nAnswer: 2, 35883511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1911 - -1?\nAnswer: -1910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102421100 - 1?\nAnswer: -102421101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 800399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20122 (base 3) in base 7?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.916 - 1.416. Let y = 14.4 - 14.4. What is the nearest to -1 in k, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29420331 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*d - 60 + 86, 16 = m + 4*d. Let n be m\/66 - 18\/(-33). What is the nearest to 3 in 0.09, 2, n, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311194878?\nAnswer: 2, 3, 51865813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*16\/(-30)*15\/(-18))\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20294.47 rounded to the nearest 10?\nAnswer: -20290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204812535?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (3 - 0 - 5). Let d be (2 + j - -1)\/(-2). Suppose -5 - 9 = -d*s. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + z = 30 - 3, -21 = -2*h + 3*z. Suppose h = -2*a + 4. What is the tens digit of a\/(-1) + 26\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 786447, 1572688, 2358929, 3145170, 3931411?\nAnswer: 4717652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1316*i**2 + 6*i + 69.\nAnswer: -2632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38710589.\nAnswer: 193, 200573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 5*t**2 - 8*t + 2. Give q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 145?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose 16 = f + q*k, -f - 2*f - 3*k = -24. What is the highest common divisor of f and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -49691?\nAnswer: 49687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -73850*m**2 + 480005*m + 130 = 0.\nAnswer: -2\/7385, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9887? (a) -1 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-68289)\/(-195))\/103)\/((4\/(-2))\/30)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/24*18\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 7:55 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -343a11 (base 12) in base 4?\nAnswer: -3030013231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 11:38 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115775 is divided by 38584.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2154 - 954. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-142)\/8)\/(((-52)\/(-16))\/(-13)). Does 71 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/12 + 5*n**4\/24 - 5*n**3\/6 - 333*n**2. Let u(k) = -5*k**2 + 6*k - 6. What is 4*a(g) - 3*u(g)?\nAnswer: -5*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) - sqrt(4)\/sqrt(2)) - (sqrt(10)\/sqrt(5)*5)**2.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) + 1)*6 + -5 + 5.\nAnswer: 4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17592035 at most as big as -17592036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**4\/24 + t**3\/6 - 14*t**2. Let z(m) = 5*m + 4*m + 5 - 6*m. Let j be z(-2). Let o(l) = -l - 3. Give j*o(a) - 2*b(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2585227505?\nAnswer: 5, 7, 71, 331, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34573004 to the nearest integer?\nAnswer: 5880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 6*y**6\/5 + 31*y**3 - 151*y. What is the second derivative of t(k) wrt k?\nAnswer: 432*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 9 = 16*q + t, -5 = -5*t. What is the common denominator of -1 - (-18)\/10 - (-1512)\/660 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 30*j - 5*j = -79288. Calculate the greatest common factor of 1378 and j.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.253 - 0.8\nAnswer: -1.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 3. Let m = 8 - 2. Let k be m\/(-15) - (-28)\/(-5). List the prime factors of w(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvevpee. Give prob of picking 1 f and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1630 less than -1630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3275, -6476, -9571, -12506, -15227, -17680?\n\"Answer: 9*w**3 - w**2 - 3261*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 565818349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**2 + 21*a - 18. Let t be j(16). Let i = t - -3575. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(252) + 0)*-5 - sqrt(252)) + -5 + 4)*2*5)**2.\nAnswer: 7200*sqrt(7) + 907300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 7*g**2 - 9*g - 5. Let o be q(-6). Suppose 0 = 2*v + 3*v - o. Let i = -12 + 22. What is the remainder when v is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 times 4542\nAnswer: 145344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((3 - 5 - -4) + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/20 + v**4\/4 - v**3\/3 - v**2\/2 - 3*v. Let q be -5*6\/(-105)*7. Give a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3*l**2)*(-2 + 6 - 22) - 2 + 2 - l**2 to the form j*l + y + v*l**2 and give v.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*k = 2*p + 26, -k = -5*p - 31. Let w be p\/54*(-2 + 1)*4. Let -4\/9*l**3 - 4\/9*l**4 + 2\/9*l**5 - 14\/9*l + 16\/9*l**2 + w = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -0.117 (c) 4 (d) -14 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 45 = -10*o. Suppose -8*d + 4*d - 36 = 0. Let a = d + o. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296)*-3 - 4*sqrt(36)*4)\/(((-2*sqrt(84) + sqrt(84))*6)\/(sqrt(28) + sqrt(700))))**2.\nAnswer: 13872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 309 + -150. What is the remainder when b is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.247512208881+54\nAnswer: 53.752487791119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, n: 2, c: 1, d: 8, w: 7}. Give prob of picking 1 w and 1 n.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227 + 233.16. Let m = h - 0.16. Let r = -6.00000003 + m. What is r rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19423.0749 + 19421. Let g = v + 2.1. What is g rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*q**3 + 1789 - 23*q**3 - 417 + 368 + 2*q**3 to a*q**3 + o + b*q + z*q**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29736\/3540*(10\/(-7) + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/146377 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 + -23 + (-224 - -51).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/172224 and 139\/204?\nAnswer: 2927808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (13 + (7 - 16 - 14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2. Let v(s) = -4458854*s**2. Give w(v(m)).\nAnswer: 119288273959896*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 75*g + 747. Is y(11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2321499?\nAnswer: 3, 251, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 4350*x**4 + x**3\/3 - 2*x**2 - 5*x - 19. Let l be z(-1). Round l to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110100000010 - -11001100?\nAnswer: 110110111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12123 + -23201?\nAnswer: -101330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*y + 19*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015271462 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/5 (b) 1\/3 (c) 85 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-241)\/(-3 + 7 - 5). Let s = p + -161. Suppose s = 15*q - 5*q. Solve -16 = 4*y + 4*l, 2*y - q*l + 3*l - 13 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 + 9\/4*w + 3\/4*w**2.\nAnswer: 3*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/1731 and -50\/7.\nAnswer: 12117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20266)\/6)\/(21\/(-369)) - 20\/(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 13*x - 27. What is g(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22659916\/9 + 2520947. Let w = -3183 + l. Find the common denominator of w and (-3)\/5 - (-378)\/60.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*1*5 - (sqrt(343) + ((sqrt(343) - 2*sqrt(343)) + 0 - sqrt(343))))**2.\nAnswer: 15463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = s. Suppose t + 24 - 30 = 0. Let h = t - s. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1794176*l**3 - 11117511*l**2 wrt l?\nAnswer: -10765056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.95 - -25. Let p = m - 1.45. Let r = p + 1.4032. Round r to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 4*g + 6. Let a = -16 + 11. Let i be h(a). Let w = -4 + 2. Sort w, i, -5 in descending order.\nAnswer: i, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1875 + -586. Is 28 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (1 - (-14 + 31 - -19 - 17)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 6*j**2 + j - 6. Let b be s(6). Let u(m) = m**3 - 10*m**2 + 10*m - 6. Let h be u(9). Let c be 1 + -1*(b - h). Solve -4 - c = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(80\/(-26) + 3). Suppose 3*j = -3*n, -5*j + n + a = -5. Calculate the least common multiple of 8 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 0\/(-3)*-1. Suppose z = -2*y - 3*y + 105. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bznxnxinzxkiinx. What is prob of picking 1 b, 1 z, and 1 n?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 3*c - 13)*(-2*c + 4*c + 1 + 0*c) in the form l*c + z*c**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 762*5\/100 + (-6)\/10 and -1 + (-134)\/(-44) + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-12 - (5 + -15) - 51)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16437 + -5735. Is 92 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v - 5*v. Let c = v - 5. Suppose 13*r - 15*r = 8. Put 4, r, c in decreasing order.\nAnswer: 4, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15977092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2720?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 2*h - 22, -5*h = -10086*c + 10090*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**3 - 22*s**2 + 17*s - 35. Give h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7 - -7.3. Let g = w + -7. Is -0.2 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316933, 633830, 950727, 1267624, 1584521, 1901418?\nAnswer: 2218315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + p - 14, -3*r - 2*p + 16 = r. Suppose 6*q - 3*q - 36 = 0. Let d = q + r. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12137\/4 - -12063\/4. Let h = -3 + 2. What is the common denominator of b and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -0.031, -579\/4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 3. Give o(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 218019, 217050, 216083, 215118, 214155?\n\"Answer: x**2 - 972*x + 218990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*w - 1076, 0*u + 2*u - 708 = 2*w. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 5*v + 3. Let p(l) be the third derivative of l**6\/40 - 7*l**4\/12 + 4*l**3\/3 + 618*l**2. Give 8*a(t) - 3*p(t).\nAnswer: -t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 12 - 36. Let c(v) = 39*v - 1. Is c(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 8)*4\/6*7. Suppose w - 30 = -k. Suppose w*y = v - 156, 0*v - 3*v = y - 496. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-10 - -9 - (-1 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/11 - 128*q**2\/11 + 602*q\/11 - 708\/11.\nAnswer: 2*(q - 59)*(q - 3)*(q - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 9. Let h be (3*(j + 1))\/(-1). Suppose -8*g + h*g - 2*p = -159, -4*g + 120 = 4*p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 4*p**2 + p + 4. Does 3 divide s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 18567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 10:00 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5211, -9026, -12819, -16578, -20291, -23946?\n\"Answer: 2*g**3 - g**2 - 3826*g - 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10256 or 3497004\/341?\nAnswer: 3497004\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 63652540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 267562.\nAnswer: 14983472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7317.364 centuries to years.\nAnswer: 731736.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*(d**6*d)\/d)\/((d**2\/d)\/d*d)**(-4\/13) assuming d is positive.\nAnswer: d**(160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -181, -398, -615, -832, -1049, -1266?\n\"Answer: -217*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*c**2 + 1\/3*c**3 + 0*c.\nAnswer: c**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282572202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52072190 = 183*g - 314570082 - 86740589. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293 divided by -32\nAnswer: -293\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - 4) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 14*w**2 - 29*w + 46. What is s(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 50483376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 10*o**2 - 10*o - 9. Let b be y(-9). Suppose -2*g + b + 2 = 0. Let q(s) be the second derivative of 2*s**5\/5 + s**4\/12 - s. Give q(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49, -59, -51, -31, -5?\n\"Answer: -l**3 + 15*l**2 - 48*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 + 218*f**2 + 2547*f + 2627. Give j(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*z + 1)*(0 + 3 - 2)*(-3*z**2 + 9*z**3 + 3*z**2).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425 (base 15) to base 2.\nAnswer: 1110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1200132 and 3672.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 491 - 363. Calculate the remainder when 336 is divided by x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - 23 - 2 - (2 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from hhmhnnnrchmcmhmhchh.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62610 - 241?\nAnswer: 62336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -2 - (-1 + 0) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -19*w**5\/30 - w**4\/24 - w**3\/6 - 1831*w**2. Give l(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33931*z**2 + 16958*z**2 + 16867*z**2.\nAnswer: -106*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (342\/(-95))\/((-12)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112363746 and 470?\nAnswer: 561818730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-30)*-9)\/((-18)\/(-24)). Let r(z) be the third derivative of 1\/2*z**3 + 0 - 7*z**2 + 0*z - 1\/120*z**6 - 1\/12*z**4 + 1\/15*z**5. What is r(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430 and 75?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1033323?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 - 113201*r + 113201*r.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285*b*f*w**2 + 10*b*w**2 + 3605*f*w**2 + f with respect to b.\nAnswer: -285*f*w**2 + 10*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 73556 = -a, 10176 + 8194 = -f - 5*a. Let z = -10910 - f. What is z rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3158905.\nAnswer: 5, 317, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {e: 3, s: 9}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -122*l - 75. Let y be j(-4). Let d be -4*(3 + (-60)\/16). Suppose 3*k = d, 0 = 11*x - 7*x - 3*k - y. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3067.5 + -3067.500051356. Round j to seven dps.\nAnswer: -0.0000514","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(5\/3))**14)**(5\/13) assuming w is positive.\nAnswer: w**(350\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135.271 months in decades?\nAnswer: 17.793925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 u when four letters picked without replacement from {c: 7, u: 12}?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 + -34 - 28) + (-2 - 6) - (65 - 2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6838, 27341, 61514, 109357?\n\"Answer: 6835*m**2 - 2*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215258 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2315.26 + 2288. Let a = f + 2.86. Let c = a + 19. Round c to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = -k - 1, -5*k + 5 = -5*r. Let i(d) = 6*d + d**r + 3*d - 5 - 7*d**2 - 15*d. Determine i(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 8*i - 324. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + 5*o + 2, 0 = d + 4*o + 15 + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 + 1322*t\/3 - 6560.\nAnswer: -2*(t - 1968)*(t - 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9801351 decades?\nAnswer: 9.801351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Find the second derivative of -l**3 + 3 - 10*l - b + 8*l wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62 or -436\/7?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*h - 57*h - 840 = -150 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -277, -277, -285, -307, -349, -417?\n\"Answer: -h**3 + 2*h**2 + h - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.84 - -35.54. What is the closest to 2 in 28, 2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(0*x**3 + 5*x**3 - 6*x**3).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -22\/13271?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -764\/45 + 86\/5. Sort -3, 0.2, k in ascending order.\nAnswer: -3, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 0*r**2 - 2*r**2 + r - 1 + (-r - 2*r + 4*r)*(-18*r - 58*r + 36*r) + (-r + r + 2*r)*(3 - 2*r - 3).\nAnswer: -46*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6101 - 6101.1. Let f(j) = 23*j**2 + j - 1. Let t be f(1). Which is the closest to w? (a) -2 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76508397341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 222*r + 9 = 8*q + 221*r, 7*r = 5*q + 4*r - 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o**2 + 8*o + 11. Let q(m) = 13*m**2 + 7*m + 10. Let v(h) = -2*g(h) + 3*q(h). What is the units digit of v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*w + 2*w - 10 = 0, -4*m + 2*w - 10 = 0. Let h(p) = -2*p**3 + 4*p**2 + 8*p + 7. What is the units digit of h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21606 (base 11) to base 6.\nAnswer: -401041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -8*z - 126. Calculate the greatest common divisor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.669791282 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/(-34) - (-2 - (-59)\/2). Let i = 30 + b. What is the tens digit of 3\/i*1272\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.46, -3 in descending order.\nAnswer: 0.46, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6*(-4)\/3. Let f = 26 - v. Let a be 1*-7*f\/(-14). Calculate the highest common divisor of 48 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 15 = 3*d - 60, -3*g + 9 = 0. Solve 0 = -3*k - 4*m + 21, -2*k - 6*m + m = -d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -12*y + 149. Let a be i(9). Solve -24 = -a*x + 35*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(17) - (sqrt(17) - 5*sqrt(153)).\nAnswer: -3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -4*u**5\/15 - 29*u**4\/6 - 45*u**3\/2 + 92*u. Let s(k) be the second derivative of j(k). Differentiate s(l) with respect to l.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -472 and 0.5.\nAnswer: -471.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1693 by 1693.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:43 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1521120 - 3?\nAnswer: 1521113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49344 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(336) + (sqrt(336)*4 + sqrt(336))*2 + sqrt(336)))\/((-4*sqrt(120)*6)\/sqrt(10)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = -4*q - 5*m, -5*m = -4*q + 5. Let d be (2 - -37)\/(q + 6 - 3). Sort -0.3, 5, d.\nAnswer: -0.3, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10 - -6*63\/(-270)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 40*y**2 + 344*y + 227. Give n(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 561512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 16. Give d(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9295*t + 98. Is c(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(4\/7))\/w)\/(w**1\/w))\/(w**(-1\/7)\/w**(-19)))**18 assuming w is positive.\nAnswer: w**(-2304\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/7828 and 7\/7016.\nAnswer: 13730312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 2 + 4*i**3 - 5 + 4 - 3*i**3. Let k(y) = y**4 - 4*y**3 + 10*y**2 + y - 7. Let u(g) = -14*a(g) - 2*k(g). Find p, given that u(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2610262 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/17, -5, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6 - ((-394)\/(-26) - 10)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28530 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37\/100 + 77\/100. What is the fourth smallest value in 0.2, -1, 7, l, 3\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**3 + 0*m**2 + 1 - 15*m**4 + 1564*m + 4*m**3 - 1567*m - 2*m**2 as o*m**3 + h*m**4 + q*m**2 + k*m + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2\/2 + 150*s + 3055\/2.\nAnswer: 5*(s + 13)*(s + 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:36 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 9*l + 10. Let w be (1 + 3)\/(2\/(-5)). Let d be n(w). Suppose d = -5*i + 1624 + 591. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*c - 10, -2*c - 3*a + 18 = 12. Suppose 18 = 5*h - 2. Sort h, c, 12 in descending order.\nAnswer: 12, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 times -1056\nAnswer: 23.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 0*z**4 - 62*z + 0*z**3 - 46\/5*z**5 + 43 - z**2. Find the second derivative of y(h) wrt h.\nAnswer: -552*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5149211 to the nearest integer?\nAnswer: 2269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45111*r*t**4 + 61658*r*t**2 wrt t.\nAnswer: 1082664*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*a - 3128 + 3104, a + 3 = 0 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllmllllmpulllpj. Give prob of sequence ll.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.179995 rounded to 3 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425 - (-9 - -10 - (-1 - 0)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*o = -110, 2*o - 251 = -5*u - 0*o. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/4 + 13*y**3\/3 - 20*y**2 + 36*y + 153. Suppose w(a) = 0. Calculate a.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11837218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/6)\/((-3)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -737955 + 737955 - 290*w + 4*w + 0 - 2*w - 2 + 4 - 2*w - 4 + (1 - 1 + 2*w)*(-4 + 0 + 2) to u + a*w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 36d?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -28620, 34, -5 in decreasing order.\nAnswer: 34, -5, -28620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 5. Let q be n\/1*200\/12. Let p = q - -73. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-138)\/(-55)*(-176)\/(-33). Let u = 66\/5 - b. Sort -1, u, -2\/3 in descending order.\nAnswer: u, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 287 = -206. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1431, 485, -409, -1245, -2017, -2719?\nAnswer: -3345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.4 times 91033?\nAnswer: -1310875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from booooowocwbowzcwooo?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 2*b**2 + 3*b. Suppose -2*v = q - 13, 4*q + q - 59 = -4*v. Let p = 8 - q. Let a be c(p). Solve a*r + 2*m - 7 = 3*r, -5*m + 15 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 6, 19, 54, 117, 214?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5818342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9\/(-27))\/(1\/(-1062)).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-2*6)\/(sqrt(250)*-2)*3.\nAnswer: 18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.36, 5, -14\/33, -1\/163?\nAnswer: -1\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 4:31 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -75.831.\nAnswer: -78.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12903 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-540) - (-800)\/5*4\/(-36)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 81. Let m = 1 + -5. What is the nearest to -0.2 in m, 3\/2, t?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 13792 = -10*n. Suppose -346 = -9*l + n. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -3 - (-16 + 12 + 11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655 + 647 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26895 divided by 12.\nAnswer: -8965\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 7. Let b be (-15)\/4*(-12768)\/n. What is b rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83784781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 12*h**2 + 2*h**3 + 12*h + 18*h**2 - 43*h**2 - 3*h**3 - 27. Let g be t(-14). Let x(b) = 4418*b**3 - 2*b**2 - b + 2. Is x(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvvrvrrvg. Give prob of sequence vg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-6))\/((-7)\/4914). Suppose 9*y - 18*y + j = 0. List the prime factors of -32*y\/(-6) - (-1 + -1).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/24 - t**2. Let s(z) = -4*z. Suppose 17 = 12*k - 15*k + 4*b, -4*k - 5*b + 29 = 0. Determine k*s(y) + 6*c(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 1633*m**4\/3 + 5*m**3\/3 + m**2 + m. Let f be x(-7). Round f to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(504) - (sqrt(504) + -2*sqrt(504) + sqrt(504)) - sqrt(504)) + sqrt(504) - sqrt(504))\/sqrt(7)*-2 + (sqrt(2) + 2)*-3 + -1*sqrt(2)*-3))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 8047*b = -8051*b - 320, -2*m - 932 = 12*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 127, 6, 5?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c + 62*c - 2 - 122*c - 260*c - 1.\nAnswer: -338*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/(-48))\/(4\/(-1470)). Let v = t - 103. Is 142 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286400211.\nAnswer: 3, 41, 311, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*k + 9 + 5, -2*k + 6 = 0. Suppose b - 21 = -3*l - 3*b, 4*l + 3 = s*b. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 37*l**5\/30 + l**2 + 132*l. Let y(r) = -4*r**2 + 3*r**2 + 2*r**2. Determine a(y(o)).\nAnswer: 74*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:22 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-5) - -33295 - -5. What is s rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1771.312 and -31.\nAnswer: -54910.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.755865 weeks in nanoseconds?\nAnswer: 3481147152000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 4*d + 1. Let o be g(-3). Suppose 2*h - 2*k + 18 = -0*h, 0 = o*h - k + 30. Let z = 17 + h. Solve -z = m + m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 113?\nAnswer: -90.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l - 5. What is the remainder when 92 is divided by u(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4569588 and 405.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 1 = -x. Suppose -4*b + x = 5*k - 2*b, 20 = 4*k + 4*b. Solve 3*h + 2*m + k = 0, 0*m + 16 = h + 5*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 2*g**5\/85 + 10*g**4\/17 - 46*g**3\/17 + 642. Find c, given that d(c) = 0.\nAnswer: -23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -552.067242 to 1 decimal place.\nAnswer: -552.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 5 (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 814 - 839 + 339*d - 40*d. Does 6 divide u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19044 and 72?\nAnswer: 38088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 56\/26)*3\/(-3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18341 divided by -354.\nAnswer: 18341\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6213*f**6 + 2*f**5 + 11*f**4 + 652873*f**2 + 2*f + 2?\nAnswer: 745560*f**3 + 120*f**2 + 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 703*a.\nAnswer: a*(a - 2812)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -81*j**3 - j**2 - 2*j - 1. Let r be s(-1). Let n = -44 + r. Suppose -c = 2*g - 41, n = 2*g - 2*c - c. Solve -q = 4*u + g, 0*q + 8 = -q - u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (-1 + -1 - 0) + 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-2) + 1 + 0. Suppose 0 = -u*q - 58 + 158. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-1 - 0)*2. Solve -w*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27315320 to the nearest one hundred thousand.\nAnswer: 27300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3118\/7 + 444. Find the common denominator of y and -101\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 2. Determine f(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4210 divided by -10.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2753049249.\nAnswer: 3, 1109, 91943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 + 12403131344?\nAnswer: 12403131240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/35 + (-45)\/(-7). Solve 4*c + 12 = 4*n, -c - o - 2 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**3 - c. Suppose 4*b = g + 4*g - 4, -4*b + g + 12 = 0. Suppose b*r - 24 - 4 = 0. Let p(z) = 10*z**3 + 3*z + 1. What is r*k(w) + 2*p(w)?\nAnswer: -w**3 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 + 3*f**3\/2 - f**2 + 3*f. Let q be t(-9). Which is the second smallest value? (a) 1 (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.064, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((1*sqrt(250) + sqrt(250))*5)\/(sqrt(45)\/(2*sqrt(9))))\/((1*sqrt(2560))\/(-4*sqrt(16))).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 433*d + 435*d + 0.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1154.6 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2037469644 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b - 0. Let t = -3 - b. Let h be (1 - (-2)\/4)*-2. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-39)*6)\/(-1)*(-121)\/((-4114)\/51).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**21*f)\/f**(-13) assuming f is positive.\nAnswer: f**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from hhotoomottthhho?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5228*u**3 - 6225*u**3 + 17672*u**3 - 6223*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142244033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/46? (a) -0.2 (b) 9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 28.62 and -241.\nAnswer: -212.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1813, -1765, -1717?\nAnswer: -1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453680 = -1535*a + 7206*a for a.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 1. Let k(c) = 4*c - 3. Let f = -78 - -83. Determine f*n(d) - k(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * -116636.\nAnswer: -3499080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*5*6)**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9524 + -6202. Is -2 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 8. Let j(v) be the first derivative of v**4\/4 - 11*v**3\/3 + v**2 + 15*v + 126. List the prime factors of j(i).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 - -29?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*a - 54, -3*d - a = -16 - 23. Suppose -6*h + d - 12 = 0. Solve -5*l - 3*n + 22 = -n, h = -3*l - n + 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -64, -84, -112?\n\"Answer: -4*o**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (1 + 1)) + 1 + 2. Let p(q) = -q**5 - q**3 - 1. Let k(j) = 12*j**4 - 4*j**3 + 4. Let a(v) = g*k(v) + 4*p(v). Factor a(c).\nAnswer: -4*c**3*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2357204 divided by -9172?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -6\/13 (b) 0.5 (c) -34\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 540473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/11)*i**(-6)*(i**(2\/7))**(-2\/11) assuming i is positive.\nAnswer: i**(-494\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5811, -5776, -5671, -5460, -5107, -4576, -3831, -2836?\n\"Answer: 6*l**3 - l**2 - 4*l - 5812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(5301\/1240))\/(4\/6)*(-27)\/(-36)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9541 - 6241. What is the least common multiple of k and 18?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/325?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -28*c**5\/5 - 55*c**4\/4 - 5064*c + 2880. Find the first derivative of h(w) wrt w.\nAnswer: -112*w**3 - 165*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**3 + 19*f**2 + 310*f + 59. Let x(v) = 2*v**3 + 9*v**2 + 154*v + 26. Give -4*j(t) + 9*x(t).\nAnswer: 2*t**3 + 5*t**2 + 146*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 + 5 = a, a + 5*n - 5 = 0. Let j be (-16)\/(2 - a\/8). Let f be 2\/(-7) + 58\/7. What is the greatest common divisor of f and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -119*l. Let o(z) = 14*z. Suppose 4*y + 50 = -6*y. Let f(s) = y*q(s) - 42*o(s). Let r(d) = d**2. Give r(f(j)).\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158465*g**3*z**4 - g**3 - 3349*g**2*z**2 + g wrt z?\nAnswer: 3803160*g**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 42 = -6. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45630000 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = -5*w - 46, 3*w + 22 = -o. Let f be 2\/2 + 30\/(-33). Sort w, -7, f, 2\/11 in increasing order.\nAnswer: -7, w, f, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {l: 4, f: 1, n: 2, h: 3}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 0.08?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 12. Let h be -1 - 1 - 8\/s. Suppose 6 = -3*w - 0, 0 = 2*a - 5*w - 8. Put -2, a, h in decreasing order.\nAnswer: a, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -22. Let j = w + 9. Which is bigger: j or -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12343454\/225 - -54860. Calculate the common denominator of 13\/30 and z.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20792250*s**4 + 5*s + 2891060.\nAnswer: 249507000*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 55. Calculate the greatest common factor of w and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 297*t + 0 - 2 - 1 + 4 to the form v + f*t and give f.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 157324 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13245480 and 15?\nAnswer: 13245480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -2 - (-9 - (-2 + 2 + -1)) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 2*x**2 + 9*x**3 - x**2 - x**2.\nAnswer: 9*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 4:51 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 17*j + 7. Calculate the remainder when o(21) is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.2 + 13. Let k = 2 - 1. Let d = k - 1. Which is the nearest to 0.1? (a) -3 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/400)\/((8\/20)\/(-1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let q = 1 + -1. Suppose 0 = -h + 5*x, q = -f*h - 4*h - 4*x + 24. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 5*p - 4. Suppose 2*u = 3*u - 11. Let y(z) = 6*z**2 + u + 19*z - 2*z + z - 4*z. Calculate 8*d(s) + 3*y(s).\nAnswer: 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01323 or 2?\nAnswer: -0.01323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2615113 at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**4 + 20510*i**3 + 23723840*i**2 + 5329067520*i = 0.\nAnswer: -1904, -294, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121275774.\nAnswer: 2, 3, 199, 33857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -23, 263, 585, 943, 1337?\nAnswer: 1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 34539 (b) -5 (c) 1\/5 (d) -12 (e) 0.4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + n + 10, 0 = 3*s + s + 5*n + 2. Suppose s*f = -f + 21. Let r = 9 - f. Solve 3*i + q = -14, 0 = -i + q - 0 - r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 15. Let a = -0.13 - -0.23. What is the closest to -0.1 in a, m, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 5*s + 5. Let m be y(-3). Let v be (-2)\/(2 - 40\/18). Let h = v + -4. Solve m - 1 = h*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 381.98 + -381.9. Let o = 0.86 - -0.04. What is the biggest value in o, -1, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1 - 3*w + 3 + 8*w. Suppose 2*d = -0 + 4. Suppose -p + 0 = -d. Give k(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12\/459907?\nAnswer: -12\/459907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) -5 (c) 0.5487 (d) -340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39557614 - -3?\nAnswer: -39557611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/7 + 44*g**3\/7 + 170*g**2\/7 = 0. What is g?\nAnswer: -17, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 52455, 2 in decreasing order.\nAnswer: 52455, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*w + 17, -25 = -2*c - 2*c - 5*w. Suppose h + c*z = z + 8, 0 = -3*h - 3*z + 51. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l - 46. Let w be x(-10). Suppose 9*m = w*m + 45. What is the second derivative of n**3 - 6105*n**2 + 6105*n**2 + 7*n**4 + 3 - m*n wrt n?\nAnswer: 84*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - -7. Let r = -17 + i. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4799 - -4805. Let k(x) = 29. Let n(y) = -y + 30. Let l(g) = -4*k(g) + 5*n(g). What is the smallest common multiple of 18 and l(u)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15685?\nAnswer: 5, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -89, -309, -741, -1457, -2529?\n\"Answer: -12*a**3 + 2*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 143 - 95)*(-3*l + l - 4*l)*(-3*l**2 + 2*l - 4*l + 4*l**2) + 3*l**3 - l**3 - l**3 + (l + 0*l + 0*l)*(3*l**2 - l + l).\nAnswer: -362*l**3 + 732*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 5*o**2 + o - 3. Let m be w(5). Solve -3 = m*i - 3*v, -2*i = i - 2*v + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -15*r + 108 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = 30*r + 21, -5*u + 2782 = -r. Which is greater: u or 554?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s - 108 = -76*s. Which is the smallest value? (a) -0.4 (b) s (c) 5 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15) - (-33)\/5. Let l(p) = -70*p - 1 + 59*p + 13*p. Calculate l(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 11 + -12 + (1 + -5 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = 107*y + 435 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -8 + 1)*-8. Let y(h) = 2*h - 2. Give y(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:10 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*y - 783*y**3 + 785*y**3 - 22 + 41*y.\nAnswer: 2*y**3 + 91*y - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241*a**6 - 19*a**3 + 46*a**2 + 32.\nAnswer: -28920*a**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7526150?\nAnswer: 2, 5, 150523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(240))\/(sqrt(243) - sqrt(243)*-2) + 2 + -4)*3.\nAnswer: -6 + 8*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 3*w**2 - w**2)*(-w**2 + 0*w + 0*w) + 0*w**4 + 2*w**4 - w**4 + (0 + 0 + 2)*(2*w**4 - 25*w**2 + 27*w**2 + 0*w**4).\nAnswer: 7*w**4 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (459\/(-17) - -13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 848?\nAnswer: -50.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.2 - -4.1. Let t = -7\/30 - 1\/60. What is the nearest to n in 5, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1.23 (b) -1.22 (c) 11 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 355700\/769 equal to 464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*v = 14, -y + 3*v + 14 = 5*v. Suppose 5*j - 1 - 36 = r, 2*j = -2*r + y. Solve 4*u = j - 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2 + 5\/2). Let g(s) = -24*s + 8. Let x be g(j). Is (3 - 10)*(-1 + x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -4*r + 8, 3*r = 3*h + 6 - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*n + 5, 0 = 5*c + 5*n - 45 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 55*q**2 - 455*q - 187. Determine x(-45).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.686 + -0.186. What is the closest to -0.1 in 0.2, u, 5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*k + 34*b**2 - 1241*b*k - 921*b - 431626420*k with respect to b.\nAnswer: -4*b*k + 68*b - 1241*k - 921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -27949219\/47 greater than -594664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3992\/3239?\nAnswer: 3992\/3239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7283770*r**2 + 214*r**3 + 7283768*r**2 + 3*r - 1 + 0*r - 2 to a + c*r**2 + g*r + k*r**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7541307.\nAnswer: 3, 837923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:14 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*o**2*x**4 - m*o**2*x**2 + 8*m*o**2 + 566*m*o*x**2 + 613*o**2*x**3 wrt x?\nAnswer: -24*m*o**2*x + 3678*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 274*k + 121*k - 5 - 279*k as n + g*k and give g.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22011131 + -1201?\nAnswer: -22012332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 11 + 5*p - 14.\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68543.29 millilitres in litres?\nAnswer: 68.54329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.24\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2143972*r**2\/5 + 104543*r\/5 - 2\/5.\nAnswer: (41*r + 2)*(52292*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -574657, -1, 1 in increasing order.\nAnswer: -574657, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 10. Let a be y(-6). Solve -2*x + 0 = -a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55288, -110417, -165546, -220675?\nAnswer: -275804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 21675 = -21631 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3985*f - 4492*f + 6591 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.5 (c) 11 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/342 and 43\/2114703.\nAnswer: 80358714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - -1)\/(-5 - -4). Let n be (-9*2\/(-15))\/((-30)\/(-150)). Calculate the highest common divisor of j and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/154)\/1*-11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 12:03 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1298\/2065 - (160\/50 - 6\/2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -31*p**4 + 6*p**2 - 28. Let y(i) = i**4 - i**2 + 1. Let m(t) = a(t) + 4*y(t). Differentiate m(b) with respect to b.\nAnswer: -108*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011111000 - -11?\nAnswer: -1100011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21.692*-29050\nAnswer: -630152.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2867, 5734, 8601, 11468?\nAnswer: 14335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1792*l**2*w**3 + l*w**2 + 33*w**3 wrt l.\nAnswer: -3584*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13900 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1063*i**3 - 78*i + 20 + 22*i**2 - 8*i + 1071*i**3.\nAnswer: 2*(i - 2)*(i + 5)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1.7.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 16*w - 28. Let p be z(10). Solve -7*i - p + 281 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -522*r**2. Let i(s) = 12546*s. Give a(i(j)).\nAnswer: -82163904552*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 18. Suppose -b + r = -0*b - 5*z, -5 = 2*b + 3*z. Suppose -a - b = -4. Sort -2, -4, a.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n**2 - 4*n**2 + 5*n**2)*(-8 + 4 - 6) in the form i + z*n**2 + t*n and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -344*c**5 + 3*c**3 - 2989*c**2?\nAnswer: -20640*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f - 5. Let s be k(3). Calculate the greatest common factor of 125 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34366, -34367, -34368, -34369, -34370?\n\"Answer: -b - 34365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -13. Let p = -105 - -104.09. Let c = p - -4.91. What is the smallest value in 0, c, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 rounded to 2 dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (-9)\/6*2. Let p be (-2)\/4 + 7\/(-2). Let r = h - p. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-120)\/(-54) + -2 + (-932)\/(-18). Calculate the greatest common divisor of 169 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14210860.86us in weeks?\nAnswer: 0.00002349679375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**3 + 2*h**2 - 1. Let u be c(-1). Suppose -18*t = -20*t + 126. Let q = t + -61. Solve -q*d = -u - 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 967159145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 213\/213*2*(-1)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/44*40\/3. Suppose -5*d + 2*h + v = -10, -3*h = 2*d + 11. Solve -d*y - 5*r = -4*y + 11, -4*y - 2*r + 10 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 36*p**3 - 32*p**3 + 26.\nAnswer: 4*p**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1104 = -24100. Let f = g - 3126. Suppose 2611 = 3*u - t, 3*u + 3*t = -2*t + f. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -517*c + 6670 + 2981*c + 1008*c + 407*c + 804*c with respect to c.\nAnswer: 4683","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1923731t to milligrams.\nAnswer: 192373100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*u + 36*u = 160. Sort u, 7, 4.\nAnswer: u, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.235 * -5.0836.\nAnswer: 1.194646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333*m**3*s*v**2 - m**3*s*v - m**3 - s*v**2 - 535*v wrt v?\nAnswer: 666*m**3*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 6, h: 4}. Give prob of picking 1 h and 2 o.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10) - (sqrt(640) + sqrt(640)*3)))**2 + (sqrt(891) + sqrt(891) + 4 + 2)**2.\nAnswer: 216*sqrt(11) + 3459611\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**6\/3 + 36*o**5\/5 + o**3 - 18*o + 72. Find the third derivative of f(c) wrt c.\nAnswer: 120*c**2 + 864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 5*k + 19, 17*k = -y + 12*k + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0787 times 12712\nAnswer: 1000.4344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 26203, 1\/3, -132, -1 in descending order.\nAnswer: 26203, 5, 1\/3, -1, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose 4*i - i = 5*w + 54, f*i + 2*w - 46 = 0. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 19*g**3 + g. Let f be 10\/(8 + 22)*(2 + 1). What is q(f)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, -141\/14, -4, -1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 8, u: 2}. What is prob of sequence fcf?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -8 + -58 + -23 - (2 + -1 - -1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, t: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2427852 by -24774.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 3022?\nAnswer: -3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1186 - 771. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/2170)\/(48\/120)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 5:49 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 1. Suppose 4*f - 1 + 9 = -2*v, 0 = f + 2*v + 8. Let y = f + -2. Let m = y + 1. Calculate q(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330112?\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3585098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67491 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -468643.85 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 83 - 29 = 4*k, 4*k = 2*l + 96. Let h be (-778)\/(-13) + (-8)\/l. Let j = -32 + 52. What is the greatest common divisor of j and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -241\nAnswer: -3\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*40 + 0 + 0. Suppose -2*q + v = -20. Calculate the remainder when q is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2.8, -3, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 + 312 = 3*s. Let l = 103 - s. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = 5*h, 2*p = -4*h + h + 4. Let k(r) = r**2 + 5*r**2 - 2*r**2 + 5 + r + h*r**2. Is k(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(4\/5))\/d*d*d**(-3)*d**(1\/3)*d**(1\/7))\/((d**(2\/7)*d*d)\/d**(-8))**(-4\/37) assuming d is positive.\nAnswer: d**(5393\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 8)*(-15*d**2 + 3*d**4 - 2*d**4 + 8*d**2).\nAnswer: 8*d**4 - 56*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 12 - 10. Solve 2*f = -c - 1, -c = i*f - f + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2\/6 + 129056908*l\/3 - 8327842751260232\/3 = 0?\nAnswer: 129056908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.505366 decades to years.\nAnswer: 85.05366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -19, 2\/17, -238?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m. Suppose 0 = -5*z + 5, 0 = -7*p + 6*p - z + 3. Calculate u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 480\/(-105) + 2\/(-70). What is the third biggest value in 1\/16, 0.1, h?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 60.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15312 - 15312. Let o*k + 0 + 1\/3*k**4 + 0*k**2 + 0*k**3 = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Suppose -17 = -v*m + 23. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l = -99 + 41 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -468.083772 to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1150)\/6325*1\/2\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 282 - -1411. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2717 and 1625?\nAnswer: 339625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, e: 6}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)*i**2\/i*i*i*i\/(i*i**(1\/4)\/i*i)*i\/i**(-1\/8))\/(((((i\/(i\/i**1))\/i)\/i)\/i)**(2\/11)\/(i*i**(-3)\/i*i**(-4\/5))) assuming i is positive.\nAnswer: i**(369\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 231.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 143, 161, 179?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128907*b**6*n**3 - 2*b**4*n**3 + 841*b**2*n**3 + 3979*b**2 wrt b.\nAnswer: 15468840*b**3*n**3 - 48*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:59 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 3*q**2 - 1. Let i be b(2). What is the remainder when ((i - -1) + -3)*43 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 669698*w**3 - 10*w**2 - 3*w + 4. Is z(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1716399, 1716426, 1716471, 1716534, 1716615, 1716714, 1716831?\n\"Answer: 9*q**2 + 1716390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-18)*(-19836)\/(-855) - 1\/(-9)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 69 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5996.88 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.1 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 3071?\nAnswer: -35\/3071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 2. Let s = d - 3. Suppose s + 2 = -3*f. Which is bigger: f or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from vhjvbijvhjvhvvj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8303?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178\/11 + -868\/55. Put 3, 0.007, r in descending order.\nAnswer: 3, r, 0.007","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0 - 1\/2*i**3 + 4*i**2 + 3\/8*i**4 - 1\/60*i**5 + 0*i. What is the remainder when v(6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*n**5 - 5)*(5 + 2 + 39) - n**5 - 4*n**5 + 0*n**5.\nAnswer: -97*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -170*s - 10153. Calculate v(-58).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2673898*b**4*s**2 - 2792*s**2 + 246 wrt b?\nAnswer: -10695592*b**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (-1 + sqrt(125) + (sqrt(5) - ((sqrt(5)*-1*-2)**2 - sqrt(5))) - ((sqrt(30)*2)\/sqrt(6) - (2 + sqrt(500))))).\nAnswer: -108 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*s = 194, 22*g + 31 = 23*g + 2*s. Calculate the remainder when 14467 is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 136985017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 6*h**2 - 6*h + 3. Let u be (120\/(-24))\/(1\/3*3). Give b(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1404 and 2107638?\nAnswer: 12645828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*t**2 + 48*t**2 - 14*t**2 + 2*t to q*t + y + v*t**2 and give v.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 303*j**2 + 12*j + 6052*j**3 - 36*j + 25*j**2 + j + 14*j wrt j?\nAnswer: 36312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*r - 0*r - 25, -4 = 4*r + 4*f. Let v be 56\/(-21) + r + -2. What is the nearest to 1\/2 in v, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1064*v - 3530021 + 3530021 + (1 + 3 - 1)*(-2*v + 2*v - 2*v) + 1 + 0 - 4*v + 6*v in the form l + b*v and give b.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.9 (b) -0.1 (c) 0.2 (d) 0.4 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 - 8*a + 47. Determine q(5).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31089 is divided by 241?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 5*x + 2*j + 57, 3*x + 4*j - 55 = 0. Solve x*c = 11*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12851 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02874684 and -0.5504498.\nAnswer: -0.57919664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -204*o + 202*o + 1, 3*w + 3*o - 6 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -191, -195, -201, -209, -219, -231, -245?\n\"Answer: -x**2 - x - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**2 - 135*m - 128. Determine q(-18).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 3*u - 3. What is the remainder when n(-3) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 - 74*v**2 - 18 + 75)*(-4*v**2 + 2*v**2 + v**2).\nAnswer: 74*v**4 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8\/29, 1\/4 in descending order.\nAnswer: 1\/4, -8\/29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 47*g - 43*g = -229, 4*g + 63 = m. Is m >= 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89192\/3 - 30868. Is g not equal to -1138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*g - 11, -g - g + s + 7 = 0. Solve -g*i + 2*f = -f - 12, 14 = -4*i - 2*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-22)\/(-6) - 3)*18. Let l = -59\/5 + g. What is the second smallest value in 1, 4, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2581 - 30841\/12. Calculate the common denominator of f and 45\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t. Let c(h) = -108*h - 20. Let l(u) = 107*u + 17. Let z(b) = 6*c(b) + 7*l(b). Give q(z(n)).\nAnswer: -303*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 211956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 199, -0.5 in decreasing order.\nAnswer: 199, -0.5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 6*p + 0*p - 4*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3552, 4367, 5182, 5997?\nAnswer: 6812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26167.\nAnswer: 137, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2268820, 2268839, 2268860, 2268883, 2268908?\n\"Answer: a**2 + 16*a + 2268803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -805 + 463. Let i be r*5\/(-6 + 1). Calculate the remainder when 150 is divided by (i\/24*8\/3)\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4\/17 + 96*h**3\/17 + 1044*h**2\/17 - 2800*h\/17 - 3750\/17 = 0.\nAnswer: -25, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - -623. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 333 = -b + 335, 2*b - y + 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-36))\/((-40)\/1200)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + -4. Let f be (-7)\/m - (-6)\/63. Are f and -1\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**2 - 5*b + 5. What is g(-3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35617 (base 8) in base 2?\nAnswer: 11101110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -157, -170, -183, -196?\n\"Answer: -13*l - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 970*-0.037\nAnswer: -35.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -31060 to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 28*o + 0*o - o**2 - 29*o - 1. Let v(w) = 7*w**2 - 4*w**3 + 6*w + 0*w**3 - 2*w**2 + 5. Determine -5*j(p) - v(p).\nAnswer: -p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 - 16) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*1)\/(sqrt(100)\/sqrt(2))*-1*1.\nAnswer: -8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * -39.\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 7 + 5*v + 14 - 3*v. Is a(11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 376 - 376 - 40*q**2 + (3 + 0 - 13)*(-2 + q + 2)*(q - 4*q + q) as n + i*q + z*q**2 and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -4) + 8 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 390, 855, 1318, 1779, 2238?\n\"Answer: -d**2 + 468*d - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(68)\/sqrt(4)*2 - (sqrt(17)*2 - sqrt(17))*4).\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 8, -2, 4 in descending order.\nAnswer: 8, 4, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14*o**3. Let z(w) = -4*w + 17. Let u be z(7). Let l(a) = 5*a**3. What is u*l(v) + 4*f(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**2 + 10*h - 42. Let l be w(7). Suppose t = -5*r + 437, t + 3*r - l = 6*r. List the prime factors of t.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075769 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -36*y + 2. Let v be n(5). Let x = v + 259. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -346.255407 to 2 decimal places.\nAnswer: -346.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 1248?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:27 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 + 0.33. Let j = k + -0.4. Let f(i) = -i**3 + 6*i**2 - 3*i - 5. Let t be f(5). Which is the closest to j? (a) t (b) -0.07 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19573*m - 3620999. Determine v(185).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 283 and 51475.\nAnswer: 51758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4589 is divided by 181?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 160 - 23 = 5*a, 5*b + 43 = a. Suppose 0 = 2*d - 5 + 3. Let x(c) = 10*c**3 + c - 1. What is the remainder when a is divided by x(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 + 9*f - 11*f.\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5*z = 3*p - 77, 2*z - 403 = -2*p - 379 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 102240\/272 - (-2)\/17. What is the remainder when v\/44 - 8 - (-984)\/11 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44946 divided by -11\nAnswer: -4086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-36) - (-92)\/(-9). Let n(m) = -5*m + 10. Let i be n(d). Calculate the highest common divisor of 24 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2. Let k(u) be the second derivative of -6*u + 0*u**2 - 1\/3*u**3 + 0. Calculate m(k(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -35, -58, -85?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -150192 divided by 18?\nAnswer: -8344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 63*g**2 + 46*g**3 + 45*g**3 + 46*g**3 - 142*g**3.\nAnswer: -5*g**3 + 63*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40625 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * 0.07.\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-60) + (-420)\/(-144))*(-11)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028339626?\nAnswer: 2, 31, 16586123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 0*p**2 + 4*p**3 - 3*p**3 + 2*p**2 + 1 + 3 - p. What is h(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -31*m + 36. Suppose -46*d + 42*d + 20 = 0. Let f be k(d). Let z = f - -155. Calculate the lowest common multiple of 24 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*u + 16 = 0, 5*u = 2*l + l - 32. Solve d - l*z + 12 = 5*d, 3*z + 5 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 139269 = 5*g, -3*g = -4*t + 2*g + 92851. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsxbxbrs. Give prob of sequence sbx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -1 - (-72 + 71).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vppdgbddvidb. What is prob of sequence pip?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 88*w - 2. Let t be d(-1). Let k = t + 126. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14610723 - 14610600.999949. Let o = -122 + l. Round o to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -1. Let q(h) = 2*h - 13. Let i(w) = w + 19. Let x be i(-10). Let m be q(x). What is the closest to 0 in -1\/6, k, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -10*k**4 - 4*k**3 + 130*k**2 - 68*k - 48 = 0.\nAnswer: -4, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 7*u**2 - 2*u + 2. Let z(c) = 2*c**3 - 14*c**2 - 4*c + 4. Let p(y) = -5*d(y) + 3*z(y). Let k be p(3). Let m = -50 - k. Sort 3, m, -5.\nAnswer: m, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7436*a + 200914. Determine d(-27).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-16)*t)\/((((t**(-1)\/t)\/t)\/t)\/t))**28 assuming t is positive.\nAnswer: t**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 1. Let y = 7968 - 7965. Put n, y, -4 in descending order.\nAnswer: y, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001618 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000*m**2 - 3*m**3 + 2612*m**2 - 3*m**3 - 944*m**2 - 1018*m**2 + 4*m**3.\nAnswer: -2*m**3 - 350*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccllllllllll. Give prob of sequence ccll.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*n + n - 735 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3772 + 3767.5337. What is y rounded to 1 decimal place?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**4 + 10*d**3 + 8*d**2 - 36. Let s(w) = -w**3 + 2. Let p(j) = -36*s(j) - 2*y(j). Suppose p(v) = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (21\/12 - (-1008)\/192) + (537 - -1) is divided by 141.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54535 divided by -192?\nAnswer: -54535\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1165 (b) -3479.24 (c) 0.1 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 5*z + 4. Let b(u) = u**2 - 1. Calculate -4*b(d) - t(d).\nAnswer: -d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/34)\/(1 - 0\/18). Let n = 16 + -43\/3. Let k = n - 13\/6. Is k at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(2\/49))\/m*m*m**(20\/9)*m**(-16)\/m**(-5\/4))**(-32) assuming m is positive.\nAnswer: m**(147992\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202 + -1?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/10 + 3951*16\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, n: 2, c: 3, x: 2}. Give prob of sequence ni.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - s = -20, -j + 5*j + 3*s + 16 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -1\/3 (c) 30 (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - j**3 - 19 + 69*j**4 - 68*j**4 - 2*j to the form r*j**2 + m + i*j + s*j**3 + p*j**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 562493719?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f - 4*q - 30 = 0, 5*q = -5*f. Suppose -1 = 2*n - 7, p - n + f = 0. Let a be 2 + 0 + (p - 0). Solve -d = -4 - a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, -1\/3, 4, -2\/9, -0.73.\nAnswer: -0.73, -4\/11, -1\/3, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -188*j**2 - 2373*j - 44. Calculate l(-13).\nAnswer: -967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 + 6*b + 3. Let a(x) = -5*x**2 - 7*x - 4. Let i(t) = 3*a(t) + 4*z(t). Suppose 0 = -3*s - 7 - 5. Determine i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5294 - -12284. Suppose -2*r + k = 4*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 + 6. Let a be 116\/7 + (0 - (-9)\/21). Let i(g) = -a - 7190*g**2 + 9*g**3 + 7190*g**2. What is 17*h(d) + 6*i(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/4504 - 9203\/878280. Is -1 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -1.2911, 12, -0.8, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14783 is divided by 192?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + 1*sqrt(19))*-3.\nAnswer: 72 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = 4*m. Suppose -12 = -m*a + 2*j - j, -j - 24 = -5*a. Suppose -b + 1 = 6, -50 = -2*l - a*b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6) + -2086 + 2041?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**6\/y*y))\/y**(-2\/25)*(y**(-1\/4))**(-9\/13) assuming y is positive.\nAnswer: y**(-6171\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809*p**3 + 11*p - 3*p**2 - 11*p - 963*p**3.\nAnswer: -154*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 814 (base 10) to base 6\nAnswer: 3434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2*(-2)\/(-4). What are the prime factors of (s + -7)*(4 - 7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/5)\/((-2547)\/2264). Which is bigger: -4\/7 or j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v = -27*v - 432. Calculate the greatest common factor of 27 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71939193 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u. Let z(o) = -83*o**2 - o + 7. Let w(p) = p - 7. Let c(k) = w(k) + z(k). What is l(c(g))?\nAnswer: 332*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 503 - 578. Let x = -31 - q. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1239, 2, -5, -83, 0.3, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-157)\/(-4) - 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, q: 3, e: 2}. Give prob of sequence qq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 6*u**2 + 2*u - 8. Let h be t(6). Let d = -13 + 18. Suppose -4*a + d = -2*p - p, -a + 3*p = 1. Sort h, -4, a in decreasing order.\nAnswer: h, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 4084249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -308904549 divided by -3\nAnswer: 102968183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 589 - 214. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 901017 (base 13) to base 3\nAnswer: 20021212220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 + 162252?\nAnswer: 162330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -359, -742, -997, -1064, -883, -394, 463?\n\"Answer: 10*l**3 + 4*l**2 - 465*l + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (22 + -29).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 991688473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and -3.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-5 + (-2 + 2*sqrt(363) - -2*sqrt(363)*3) + 4)*2 + 5)**2.\nAnswer: -352*sqrt(3) + 92924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-5*b**2 + 7978*b**3 - 7981*b**3 + 3467*b + 6 - 3478*b).\nAnswer: -3*b**3 - 5*b**2 - 11*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/2, -2, 441?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, -413, 1.\nAnswer: -413, -4, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-12)*(0 - -3). Let d = 5.9 + -6. What is the nearest to d in g, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*h + 3795 = 3798, 42*k + 122 = -h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**19*g\/g**(-2\/33) assuming g is positive.\nAnswer: g**(695\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 265*c**2*z - 44*c**2 - 7 wrt z?\nAnswer: 265*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714.3532ug to kilograms.\nAnswer: 0.0000007143532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**2\/2 - 1. Let v(n) be the first derivative of 2*n**2 + 2. What is v(m(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1063, 7, -90 in increasing order.\nAnswer: -90, 7, 1063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-16\/5)))\/((n\/(n*n**(-1\/16)*n))\/n) assuming n is positive.\nAnswer: n**(-101\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 107 = 27. Calculate the lowest common multiple of v and 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4357 - -4882. Is s at most 526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(28*d + 16*d + 15*d) + d - 2*d - d in the form i + k*d and give k.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 7}. Give prob of picking 2 c and 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11024332 (base 5) to base 7.\nAnswer: -545460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 290222183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101001100 + 1101110?\nAnswer: -10001011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 2 - 2)*(-78 + 78 - 852*n)*(-n - n + 3*n) in the form u + x*n**3 + y*n**2 + j*n and give x.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 319255971247.\nAnswer: -319255971245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**3 + 11*g**3 + 9*g**3 - 35*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3123*l - 259 = 3086*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*12\/(-14)*(-966)\/(-552).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:43 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372911 by -4843.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 3491d3c?\nAnswer: -3491d43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 342 - 10\/3*u**2 + 568*u.\nAnswer: -2*(u - 171)*(5*u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 1. Suppose 11 = n + 12. What is g(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 10755?\nAnswer: -10758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4485353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -3*w. Suppose -249 - 247 = -w*b. Suppose b = 3*v - 2*c + 4*c, 2 = c. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14029508 and 20430?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 159 + -152 + (4 + 143 - -3).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5719001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 17*s + 37. Let w = -307 - -309. Let y be f(w). Which is the second biggest value? (a) y (b) -2\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/21 + (-1 - 8\/(-7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2\/7, -49 in ascending order.\nAnswer: -49, -2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -16*c - 243 + 66 + 61 + 59 + 70. What is w(-6)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3\/2 (b) 1\/5 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -772914.5 to the nearest 10000.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5) + (sqrt(5) - sqrt(10)\/sqrt(18)))*2 - (2*(sqrt(119) + sqrt(119)*2))\/((sqrt(105)\/sqrt(3))\/sqrt(5)).\nAnswer: -24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-10)*4\/(-8))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -33, -73, -129, -201?\n\"Answer: -8*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85.89 + 0.89. Let b = -84.9 - m. Sort -0.2, -0.1, b, -1\/3 in ascending order.\nAnswer: -1\/3, -0.2, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10375 is divided by 125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/28 + -5\/7. Let d = 84 + -79. Which is the second smallest value? (a) -2\/7 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 16*x**2 - 12*x**2 + x to the form r + c*x**2 + z*x and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41, -11\/37, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 11*g**2 - 30*g. Let z be t(-12). Suppose -z = 6*l - 1722. Does 72 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*h = -202*h + 4*a - 348, h + 29*a - 63 = 0 for h.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11456\/40)\/(2\/(-10)). Let z be (-4)\/7 + y\/(-56). Suppose -z = 5*s, -3*o + s + 49 = -2*o. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 710474946 and 978.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2177\/(-7775)*45\/(-14)*25\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23824453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040d (base 16) in base 15?\nAnswer: 3d865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*h + 20*h + 21*h - 58*h - 8*h**2 as n + m*h**2 + g*h and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -625*k**2. Let y(r) = 789*r**2. Give y(a(u)).\nAnswer: 308203125*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.071, 7, -0.004, 4, 5, -4 in increasing order.\nAnswer: -4, -1, -0.004, 0.071, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2200 - 2?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.679746 weeks to days.\nAnswer: 4.758222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 893 - 346. What are the prime factors of p?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 25621?\nAnswer: -128105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17197, 34338, 51479?\n\"Answer: 17141*f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.15282772 to three decimal places.\nAnswer: 7.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4.2. Which is bigger: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(17) + (sqrt(17) - sqrt(153))**2 + 4*(sqrt(51)\/sqrt(3) + sqrt(17) - sqrt(17))).\nAnswer: 25*sqrt(17) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 26507*y**2\/5 + 175588976*y\/5 - 175721536.\nAnswer: (y - 5)*(y + 13256)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llv when three letters picked without replacement from {l: 5, f: 2, v: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5 = 2*n, 2*n + 5*g = 3*g + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (490\/4)\/(-5)*(-115 + 13) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 85*l**2. Let k(b) = -1071*b - 4. Give k(i(h)).\nAnswer: -91035*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030404 rounded to seven decimal places?\nAnswer: 0.0000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(153) - 2*sqrt(153)*4 - sqrt(153) - (-5*2*sqrt(153) - sqrt(153)))*6)\/((sqrt(36)*5 + 2*sqrt(144))*1).\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*x - 4703, 2*x - 4704 = -0*z - 2*z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/18)\/(530\/(-3816)))\/(204\/(-30))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -5.6. Let p = 6 + -5.7. Which is the second biggest value? (a) p (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011011010100 (base 2) to base 12.\nAnswer: -3470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 - 18 = 0. Calculate the lowest common multiple of 1 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -68*n. Let q(t) = -32054*t**2 - 128*t. Give q(o(x)).\nAnswer: -148217696*x**2 + 8704*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12922.\nAnswer: 2, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:05 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4706389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - (-5 + 1 + 13) - 11) + -3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 + 97. Let z(x) = 2*x - 5. Let w be z(4). List the prime factors of (0 + w - b)*4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10951 is divided by 549.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 6. Determine t(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 187 + 164 + 0*m - 570 + 219.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(8\/(-6) + 1). Let c = -1 - w. What is the second derivative of -9*y + 18*y + 3*y**c + 3*y**2 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = -7*t. Let r = 42 - 17. Suppose -4*w + 2*u + 480 = 0, -221 - r = -t*w + 4*u. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1650158447 and 10.\nAnswer: 1650158457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + (43 - 63)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37214 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 29*m**2 + 1423*m + 108. Give h(-49).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 6, u: 3, c: 1}. Give prob of sequence cu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0 (c) -0.1 (d) -390 (e) 0.92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/9, -49\/4, -1, 8, -0.6, 2\/31?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2570545 to the nearest integer?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + (29 - (12 - 1 - (61 + -49)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14345 - 14344.5. Which is the third smallest value? (a) 2.1 (b) u (c) -2 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**5\/20 + x**3\/6 - x**2\/2 - 6*x. Let l(a) = -a**3 + 3*a**2 + 5*a - 1. Let h(c) = -l(c) + 2*q(c). Solve h(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 14*j = 8829. Let s = -331 + j. Let i(o) = -o**2 - 4*o - 6. Determine i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*z - 20 - 72 = 0, -2*t = -4*z - 208. Calculate the remainder when 181 is divided by t.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130295192179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*i**2 - 2*i**3 + 15*i**2 - 39*i**2 + 2*i + (-3*i**2 - 4*i**2 + 3*i**2)*(4*i + 4 - 4).\nAnswer: -18*i**3 - 6*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -6, 0.3844, -3.\nAnswer: -6, -3, 0.2, 0.3844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.8994*-367.\nAnswer: 3266.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 5*m - 3*m + 4*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -32*n**6\/5 + 1210*n**2 - 2*n - 1784. Find the first derivative of x(z) wrt z.\nAnswer: -768*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*l - 2, -3*h + 2*l = -4*h + 2. Let j be (-2)\/12 - 28\/(-24). Which is the third biggest value? (a) h (b) 3\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1302 (b) 31 (c) 4 (d) -1\/108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 (base 12) in base 3?\nAnswer: 112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, u: 1}. What is prob of sequence fuff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 50*l**2 - 146*l - 77. What is c(-47)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 + 0*v**2 + 5*v**2 + 4*v + v**2 + v**3 + 2. What is the tens digit of u(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-20))\/(8\/(-60)). Suppose 5*i + 252 - 193 = 164. Sort 0.3, i, t, 3 in descending order.\nAnswer: i, 3, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -3. Let j(i) = -i**3 + 3*i**2 + 4*i + 5. Let n be j(4). What is the smallest common multiple of 7 and 3\/n + 17\/y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1638\/109 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/35)\/((-7)\/35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11391, 11415, 11429, 11439, 11451, 11471?\n\"Answer: h**3 - 11*h**2 + 50*h + 11351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-11 - 3 - -4) - (2 - 28).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 589924231.\nAnswer: 589924231.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from kazzgzhzzzazggg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1945 plus -0.5?\nAnswer: -1945.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 20, 4*r + 3*b - 25 = -2*b. What is the second biggest value in r, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-18))\/(((-2)\/3)\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2013105?\nAnswer: 3, 5, 134207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25605 + -17845. What is v rounded to the nearest one hundred?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.11 + -10.11. Let o = 3.8 + 11.2. Let j = o - m. Which is the nearest to j? (a) -0.1 (b) -2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*u + 4*u**2 + 10*u - 3 - 2 + 10*u - u**3 to the form n*u**2 + l + d*u + c*u**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(32)*1)\/sqrt(4))\/((1*-1*sqrt(44))\/sqrt(11)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -29*f**2 - 5*f + 12*f**2 + 2 + 18*f**2. What is v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -31*u. Let p(m) = -12*m**2 + 168*m + 6. Let v(x) = 7*x**2 + 2*x - 3. Let l(j) = -p(j) - 2*v(j). Determine n(l(o)).\nAnswer: 62*o**2 + 5332*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 + 13*1. Let q = w - -5. Solve 4*d = -1 + q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5 - 5. Let p(k) = -3*k + 1. Let z(l) = 4*l. Let x(o) = 3*p(o) + 2*z(o). What is the lowest common multiple of 2 and x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -731.2 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 191193767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -12*p**3 + 6048*p**2 - 168*p + 84670. What is d(504)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1672 divided by 24\nAnswer: 209\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -12*w**3 + w**2 + 2*w + 1. What is d(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o + o**3 - 4 - 4 - 2*o**2 - 2 + 2*o**4 + 12 in the form u*o**3 + h*o**2 + t*o**4 + p*o + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -80, -99, -118, -137, -156?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5215788 divided by -6\nAnswer: -869298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178889010 divided by -59629670.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227 - -217. Let a be (-91)\/(-10) - (2 + 19\/z). Solve a*u - 14 = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(3\/((-9)\/3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 v, 1 j, and 1 s when four letters picked without replacement from bbbbbbsbbbvj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 + 1181*c\/5 - 96064.\nAnswer: (c - 320)*(c + 1501)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + 45 + -31 + 18 + -7.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (0 + (0 - 1)). Let o(q) = 5*q**3 - 2*q**2 + 1. Let d be o(v). Let h(p) = p - 1. Give h(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122618 or 122641?\nAnswer: 122641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40329238*c**5 - 37156454*c**2?\nAnswer: 2419754280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-one halves of a millennium?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13156829, 26313653, 39470477, 52627301, 65784125, 78940949?\nAnswer: 92097773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 54 = -i - 2*i, -5*i + 90 = 2*k. Calculate the smallest common multiple of 60 and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15691 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -96, -291, -658, -1251?\nAnswer: -2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, z: 4, d: 1}. Give prob of picking 1 z and 1 d.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13111 - -22621. Is p a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 4. Let s be t(5). Let j(o) = -o**2 - 3370*o + 20274. What is the remainder when j(6) is divided by s\/(-2)*8\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 14853 and -5.\nAnswer: 14848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -48 + (-42 - (15 + 14))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 12719 and 12720 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62934, 62920, 62906?\nAnswer: 62892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 3:16 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 16 = 2*c, q + 0*q - 5 = 4*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/14924 and -79\/70.\nAnswer: 74620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 279120\/(-420300) + 8\/12. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 s when three letters picked without replacement from {q: 4, n: 8, j: 1, s: 1, r: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 8*p - 16. Let y be m(-4). Suppose -6*q - 27 + 9 = y. Round q to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - sqrt(170)*-1) + sqrt(170))*-2*6)\/(1*sqrt(1210)*2).\nAnswer: -18*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 4354?\nAnswer: 148036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0 + 4. What is the remainder when 26 + -1 + -4 - i is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64796 or 62470?\nAnswer: 64796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 + 10512*k**3 + 16237893*k**2 - 32507326*k + 16258920 = 0 for k.\nAnswer: -8630, -1884, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -957 - -5205. Is 118 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 27*c - 68. Let q be s(16). Solve -14*w - 6 = -q*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9169236 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11*f**3 - 2*f**2 + f. Let b be k(1). Let q be ((-4)\/(-3))\/(b\/(-18)). What is the second derivative of 3*s - 4*s**2 - 3*s**q - 4*s**3 + 7*s**2 wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 24*i + 3. Let l be m(-2). Let h(c) = 2*c**2 - 81*c - 1437. Let b be h(-13). Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 18 = 30. Let y be (r\/(-10))\/(4\/(-200)). Let s(i) = 21*i**2 - 1. Let x be s(1). Calculate the highest common divisor of x and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 51210?\nAnswer: -51213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r. Let b be y(-3). Suppose 2*z = -z + b. Suppose -29 = -z*t + 3. Solve f + f - t = g, 0 = f + g - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5.1. What is the closest to 1\/5 in 1, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -12.13.\nAnswer: -0.3639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -80. Let b be (2\/1)\/(1\/3). Suppose -b*u = -2*u - d. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 78*m - 2697. Let c be i(35). Solve -c*w - 143 - 121 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 9*y**2 + 21. Let b = -134 - -123. What is the tens digit of i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.7 + -7.3. Let j = t + -5.1. Let g = j + -2. What is the smallest value in -2\/9, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 - 2*c + c + 6*c - 13. Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 - 15.1?\nAnswer: -14.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/((-32)\/525))\/(-1 + 2). What is the greatest common factor of 2400 and h?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3, 50\/11, 1\/3, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10451*x - 727*x - 33866*x - 11125*x - 14432*x + (2 - 1 - 3)*(-2*x + 2 - 2) - 1 + 2*x + 1 as a + u*x and give u.\nAnswer: -49693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20432 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -314*f**2 + f + 61. Let p(c) = 472*c**2 - 2*c - 91. Let r(q) = 5*p(q) + 7*v(q). Find the second derivative of r(i) wrt i.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 24. Which is the smallest value? (a) n (b) -0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 11407?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(425)).\nAnswer: -30*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -15. Which is the second smallest value? (a) j (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*r**5 - 26*r**2 - 2 wrt r?\nAnswer: 5220*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 5*l + 1960 - 2167, 3*l - 1551 + 198 = -28*i for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9492 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2.9375. Let u = 3.0623 + a. Let l = 4 - u. Round l to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + 5. Suppose -23 = -5*b + m. Suppose 2*t + c = 7, 3*c - 25 = -b. What is the third smallest value in -0.3, 1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdmyyfp. What is prob of sequence py?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 44.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b + 2*b)*(-2*b + 0*b + 3*b) + 0*b**2 - 5*b**2 + 4*b**2 - 56*b + 119*b - 17*b**2 - 61*b.\nAnswer: -20*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -6. Suppose 2*w - 5 - 1 = r. Factor 3*m**5 - m**3 + m**3 - w*m**4 + 3*m**2 - 3*m**3.\nAnswer: 3*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -27 - (2 + (-12 - -5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 2*s**2 - 1530*s - 330*s - 869*s + 5*s**2.\nAnswer: s**2 - 2729*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 k when four letters picked without replacement from {l: 1, k: 12}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.17, 0.06, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - k + 1. Let v be o(1). Suppose v*z - 146 = -5*a + z, 2*z - 22 = -a. Let w be 32\/10 - 6\/a. Solve 3*q - 4*t - 1 = -4, -w = q - 2*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1872)*1*1 + sqrt(1872) - (2*(-1 + sqrt(1872)) + sqrt(1872)) - (4 + sqrt(1872)*1 + 5))**2.\nAnswer: 336*sqrt(13) + 7540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -10, -12 in decreasing order.\nAnswer: -1\/2, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/729 + -827\/35721. Let o = t + 387\/98. What is the common denominator of 95\/2 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 7*c**6\/360 - 7*c**3\/6 - 3*c. Let k(j) be the second derivative of m(j). Let q(i) = 2*i. Determine k(q(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 - 226 - 956*a.\nAnswer: -956*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 2 (c) -8 (d) 0.287 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 22*d**2 - 4*d + 5. Let v(o) = o - 1. Let c(a) = r(a) + 4*v(a). Does 7 divide c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 6. Suppose b*t - 5*t - s - 6 = 0, 3*s + 9 = 0. Let v be (-105000)\/(2\/4 + t). What is v rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuu when three letters picked without replacement from {z: 1, u: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 > 214\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 33 = 2*t - 0*t, -5*v - 7 = 2*t. Let i = 1 + t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4686716 <= -4686717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d**0\/d)*d)\/((d**0\/d*d)\/d*d))\/((d*d**(-3)\/d)\/d*(d**6\/d)\/d*d))\/((d**5*d*d)\/(d**5\/d))**(-19\/3) assuming d is positive.\nAnswer: d**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 6b?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -965 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*x - 0*x - 22, -s = x + 2. Let i(w) = -15*w + 6. Let j(o) = -3*o + 1. Let m(y) = -2*i(y) + 11*j(y). What are the prime factors of m(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2068730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 20. Let m = v - -9. Which is the third biggest value? (a) 0.5 (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*v + 267*v - 125412 = 4*h, 4*v + h - 125382 = 0. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 = -10*v + 3*g, -2*v + 3*g + 70 = -17*g + 32*g for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1123 - -33035?\nAnswer: 31612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 6 + 34 = 0. Let r be 6\/8 + 1\/(-4). Which is the third biggest value? (a) 2 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 + -11496242096?\nAnswer: -11496242445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-14)*133\/(-494)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**5 + 17065*a**4 + 102555*a**3 + 51415*a**2 - 444350*a - 410280 = 0.\nAnswer: -4, -3, -1, 2, 3419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y + 251 = -82*y + 80 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by -280514\nAnswer: -339\/280514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12072 is divided by 280.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 6*(sqrt(475) - 4*sqrt(475)) + sqrt(475))**2 - sqrt(475)*-1*3.\nAnswer: 15*sqrt(19) + 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 2*m**2 + 5*m + 2. What is k(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199\/6 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: c4 (base 14) to base 16\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545176?\nAnswer: 2, 68147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1620*y + 811*y + 812*y. Let g(h) = 24*h + 23*h + 6*h. Give g(m(s)).\nAnswer: 159*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, g: 3, j: 7}. Give prob of sequence gjgw.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63*q + 13*q + 19*q)*(-2 + 3 + 9)*(0 + 1 - 2) to the form f + a*q and give a.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*u + 3*m - 1881 + 1837, -3*m = -u + 19 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -467 - 464 - 7*x + 927 - 10*x. Determine o(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -4*r + 2*d, 4*d - d = -5*r + 451. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*i + 1678*i + 15890 = -116097 for i.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 1486. Let d(g) = 2*g + 54. Give d(k(l)).\nAnswer: 6*l + 3026","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**6)**32*f**(3\/10)\/f**(-1\/3)*((f\/(f\/(f*f\/(f*f*f**(-1\/4)\/f*f))))\/f*f*f)\/(f*f\/f**7) assuming f is positive.\nAnswer: f**(-22627\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 11*l**2 - 11*l + 13. Let p be k(10). Solve o = 2, 6*u + 3*o - 15 = p*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/33*(-8)\/16*12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4 + 25 + 6*i**2)*(-2*i**3 + i**3 - i**3).\nAnswer: -12*i**5 - 22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13839, 13841, 13843, 13845, 13847?\n\"Answer: 2*o + 13837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5 - (-13 + 27\/(1215\/552)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(50))**2 - sqrt(4)\/sqrt(8)) + sqrt(14)\/((-3*sqrt(28))\/sqrt(4)).\nAnswer: -5*sqrt(2)\/6 + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/5485370 and 181\/7480050.\nAnswer: 82280550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1717*x = -1576*x + 1410 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - j. Suppose 0*g = -j*g + 8. What is the second derivative of 2*q - 4*q**g + 5*q - 5*q + q wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - r**2 + 7 - 3*r**2 + 8*r. Let z be s(8). Let b = 4 - z. Does b = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 10. Suppose 2*r - 2 = i. Suppose -4*l - m - 3 = 0, 5*l + r*m + 3 = m. Round l to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -164*x + 18. Let c(j) = 17182*j. Determine c(z(w)).\nAnswer: -2817848*w + 309276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16456325 + -3?\nAnswer: 16456322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 11 = 4*k - 6, -k = 4*s - 23. Let a(d) = -1617*d + 527*d + 538*d + 551*d + 13. Calculate a(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12696*m**5 - 37812*m**4 + 1653*m**3\/2 - 9*m**2\/2 = 0. Calculate m.\nAnswer: -3, 0, 1\/92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 40, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -0.12, 2\/117, -0.2 in ascending order.\nAnswer: -0.2, -0.12, 0, 2\/117, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 338740 take away 0.24267713?\nAnswer: 338739.75732287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 8:20 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2908731464.\nAnswer: 2, 89, 157, 26021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5045, -0.1, -75, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20983000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 1.5. Let u = 0.9 + t. Let n be 0 - -1 - 28\/21. What is the third smallest value in n, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/17*w**4 - 54\/17*w**3 - 2\/17*w**2 + 54\/17*w = 0. Calculate w.\nAnswer: -1, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 8*i + 17*i - 6*i - 2 in the form a + h*i and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2300 + 2328. Solve 20*x + s = 13*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4*a - 38, 0 = a + 4*f + 41 - 68 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 48*s - 32. Does 60 divide w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 12) to base 9.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*z**2 - 711*a**2*z - 2*a*z**2 - 12*a*z wrt a.\nAnswer: -2*z**2 - 1422*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1140 and 362303628.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1659 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 68. Solve 5*b + g*n = 20, -2*b + n - 2 = -2*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 0.09 (c) -0.68 (d) -4 (e) 0.2 (f) 71.67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:41 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.029284707788688 - -45646238.470709092211312. Let w = t - 45646232. Let c = w + -6.5. Round c to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.003 (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:40 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 65*o**3 + 6*o**2 - 20*o - 45. List the prime factors of m(4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-20) - (-11)\/(-220)*5. What is the third biggest value in y, 1, 36?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**(-37) assuming b is positive.\nAnswer: b**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 12505538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdzscsczszscj. Give prob of sequence dsc.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 4\/19 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 15164, 5, -4 in decreasing order.\nAnswer: 15164, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 7*w - 5. Let j be o(-1). Solve 0*k - j*k = -20, 0 = 3*i + k - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301 (base 5) to base 14.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 12, 28, 50, 78?\n\"Answer: 3*o**2 + o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - -2 - (8 - 3 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 - -153.2. Let f = 11.1 + u. Which is the closest to -0.1? (a) 0.02 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*a = 10, a - 6 = 4*a. Suppose -k*f + f = 90. What are the prime factors of ((-138)\/10 - -1)\/(6\/f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**4\/4 + y**3 - 3*y**2\/2 + 6*y - 1018. Determine z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Calculate prob of sequence kko when three letters picked without replacement from okkkokkkoyykkkk.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152.9 + 11.9. Let v = i + 29. Let m = -111.917 - v. What is m rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 11 = -8*x + 5, 3*x - 21 = -3*q. Let n = -2 - -6. Solve -3*d + 3 - 2 = 2*m, 4*d - q = -n*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1667735 is divided by 2734.\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 89457 and 1341857\/15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (576\/432)\/(-2 - (-304)\/(-12)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 11*a - 14. Give d(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.271 - 0.271. Let h = s - 17.1. Which is the fourth biggest value? (a) h (b) 3 (c) 1\/2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*j + 0*j**4 - 3*j**4 + 7*j**4 - j**4 as c*j + w*j**3 + y*j**2 + r*j**4 + m and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + w = -127, -3*w + 30 = 5*f - 116. Suppose 2*u - 81 + f = 0. Solve 4*g - u = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + -11 + (0 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180643718, 180643719, 180643720, 180643721, 180643722?\nAnswer: 180643723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*f - 21*f + 14*f to k*f + l and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-18)\/(j**(-1))**(16\/7) assuming j is positive.\nAnswer: j**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1793.22817 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36 + 13789?\nAnswer: 137bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m + 8*m + 0*m - 1 + 3*m**3 to x*m + f + u*m**3 + j*m**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + -1 - (7 - 8). Let p = b + 11. Suppose t + 85 = q - t, -5*q + p*t = -410. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 0*c + c + c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*b**2 + 7*b**2 + 101*b**2 + 98*b**2 + 83*b**2 - 39*b**2 - 349*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3306 and 3.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 4178*i\/5 - 351568.\nAnswer: -2*(i + 584)*(i + 1505)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 522\/63 - 8\/28\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l - 3. Let c(g) = -3*g - 3. Let j be c(-2). What is the units digit of v(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 18, l: 1}. What is prob of picking 1 v and 1 l?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2\/17 (b) -47000\/9 (c) -1\/2 (d) -0.3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(sqrt(272) + (1 + sqrt(272) - sqrt(272))) - (sqrt(272) + (sqrt(272) + -1*sqrt(272))*4))**2.\nAnswer: 336*sqrt(17) + 13360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123322706?\nAnswer: 2, 13, 233, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + -82 + 51 + 118\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 708, 725, 752, 789, 836, 893, 960?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5\/(-6 + (-184)\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -108.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615*x - 619*x = 5*g + 492, x + 116 = -3*g. Sort x, 2, -4, -3.\nAnswer: x, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 8. Let p be g(0). Let w be ((-3)\/2)\/((-3)\/p). Solve -w = -2*a - 0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/151? (a) 3 (b) 11 (c) 9 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11474 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/3 - d**3\/2 - 4*d**2\/3 - d\/2 = 0. What is d?\nAnswer: -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, 59, 23, -1 in decreasing order.\nAnswer: 66, 59, 23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 221.165 and -1741.\nAnswer: -1519.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 + 251. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -61*(-1)\/(6\/18) is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 360581709 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 24 = -3*l. Suppose x - 3*x = l. What is the units digit of (-123)\/(-18) + (-2)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-12) + 4\/(-6). Let l(n) be the second derivative of -2*n + 0*n**2 - 2\/3*n**3 + 0. Calculate l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p + 1. Give y(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -8) + -14*10\/(80\/8). Let z(n) = -9*n. Let w(j) be the first derivative of 3*j**2\/2 + 1. What is r*w(y) - 2*z(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 21*p. Let i be u(-7). Suppose -4*g = h + 94404, i*h + 94408 = -4*g - 2*h. What is g rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*y + 2*y**3 - 1 - 2*y + 56*y**3 + 10*y wrt y.\nAnswer: 348*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*b**2*j + b*j**2 + 14*b*j - 224*j**2 - j with respect to b.\nAnswer: -20*b*j + j**2 + 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 90 = 2*z, 3*j - 216 = -2*j - 2*z. Solve -p + j = 42 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p - 1171 + 1171 + 8*p as c + u*p and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + 2 + sqrt(80) + (sqrt(80) - (sqrt(80) - (sqrt(80) + (sqrt(80) + 1 + sqrt(80))*-1))) - -5*(-2*sqrt(80) + 4))*-3)**2.\nAnswer: -218880*sqrt(5) + 1203984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 8 - 4. Suppose o + 3 = -3*w - 5*b, -4*b - 27 = -5*w. Let j = -72 - -73. Put j, -2, w in decreasing order.\nAnswer: w, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192*a**3 + 240*a**2 - 84*a + 9.\nAnswer: -3*(4*a - 3)*(4*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99134*s**2 + 545*s - 257192114?\nAnswer: 198268*s + 545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -29135 equal to -1651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 317010293 to the power of 1\/3, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2, 1293 in decreasing order.\nAnswer: 1293, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 127125932.9 to the nearest 1000000.\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-3726)\/45 - 0)\/(11\/(-55))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*m + 25, -8 + 3 = -h - 4*m. Solve 3*b = -q + 2, -2*q + 0*q - h*b + 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-2)\/(-48))\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 74.7. Let v = -41 - -42. Which is the second biggest value? (a) 4 (b) 2 (c) v (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, t: 1, d: 2, c: 2}. Give prob of sequence dj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. Suppose -l*b + 6*b = 8. Solve b = -5*p + o, -3*p = 4*o - 10 - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 85. Suppose -4*o + 202 = -286. Let r = l + o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 3. Let r be i(4). Let v be (0 - 0)*r\/2. Let q(y) = -3*y**2 - 2*y - 4. Let x(p) = -7*p**2 - 5*p - 8. Let h(a) = 5*q(a) - 2*x(a). Determine h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 1332604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 10. Let w be 2\/b*(-1 + -5). Solve 5*v = o - 15, -w*o - 15 = -0*v + 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685, 1358, 2057, 2794, 3581, 4430, 5353, 6362?\nAnswer: 7469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91922 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4545\/117 + (-2)\/(-13). Let x = y + 280. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 6*a**2 - 4*a - 12. Let k be v(-3). Suppose -g + k*s = -3*s - 25, -3*g = 5*s - 33. Calculate the remainder when 41 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, -5, -12, -19, -26, -33?\n\"Answer: -7*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2276766, 2276784, 2276802?\nAnswer: 2276820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = 65*f - 18126 - 265900. What are the prime factors of f?\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/(36\/(-48)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p**2. Let g(z) = 121*z**2. Calculate v(g(a)).\nAnswer: 175692*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15307 is divided by 5640.\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*r - 17*r + 5 + 6*r wrt r?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -139*l + 15. Let u(z) = -69*z + 7. Calculate 7*u(r) - 3*y(r).\nAnswer: -66*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 + 267286\/13860. Let r = 439\/22 - z. Let c = r + -5\/9. Sort c, 5, 2\/17.\nAnswer: c, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:23 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -530110154 (base 6) to base 8\nAnswer: -43214466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46778, 93119, 139446, 185753, 232034, 278283, 324494?\n\"Answer: -g**3 - g**2 + 46351*g + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from ffwfefuuew?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 2. Suppose 2*v = 3*v - 3. Suppose -t + 0*t = 2, -3*u - v*t = 0. Suppose u*c + 8 + 5 = 5*s, -2*s - 6 = 2*c. What is j(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-184))\/(9\/((-135)\/10)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169380 and 1440.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 29618671 times -3\nAnswer: -88856013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13009 divided by -410?\nAnswer: 13009\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * 8\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*9*2\/24*1824\/76?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2 - 28*j**2 - 53*j**2. Let t(k) = k. Calculate t(f(v)).\nAnswer: -76*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-18)*576\/(-128)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -159. Calculate the greatest common divisor of 1924 and r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 286.5 + -286.514812. What is q rounded to four decimal places?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 4, -384, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37831385*c**2*o**2 + 153*c*o**2 - c*o - 158*c + 146*o**2 wrt c?\nAnswer: 75662770*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -596, 3, -4, -2, -2\/19 in decreasing order.\nAnswer: 3, -2\/19, -2, -4, -596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1889.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20104318 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37634202*a**4 + 2*a**3*p - 6*p + 632260 with respect to a.\nAnswer: 150536808*a**3 + 6*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (675\/(-3480))\/(-9)*(-94)\/235\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3358 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56 + 56 - 100*n + 0*n + n - 3*n + (-2*n - 2*n + 2*n)*(0 + 0 - 2) + 3 - 3 - n.\nAnswer: -99*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k + 2*k**3 - 6*k + 31*k**4 - 1 - 64*k**4 + 29*k**4 - 4*k**3 in the form x + z*k + q*k**2 + b*k**3 + j*k**4 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693111.\nAnswer: 3, 463, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58725841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -47.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -7.\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 - -143.808. Let h = z + -0.8. Round h to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2 + 5 = -3*u, -y - 5*u + 13 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/52 and 71\/1690.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 10932045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082 at most as big as 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77\/5 of a meter?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 1, t: 3}. Give prob of sequence tt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)*i**2*(i*i*i**0)**38)\/(i\/(i\/(i\/i**(1\/8))*i)*(i*i**(-1\/6))\/i)**(-3\/5) assuming i is positive.\nAnswer: i**(3133\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 12*a = -7*a + 7, -38 = -8*c + 2*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3)*22\/6*13815\/(-16885)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 21*s - 77. Give l(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 81113*n**2 - 648956*n - 973452.\nAnswer: (n - 81121)*(n + 2)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 2*l. Let o = l - 3. Suppose -3*b = 2*r - 27, o = -3*b - 3*r - 0*r + 27. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*793542\nAnswer: 17457924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*n + 2*g, -5*n - 62 = -0*n + 3*g. What is n rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y + 22. Let i be ((-2)\/(-5) + 16\/10)*y. Suppose 0*k - 32 = -4*k - 4*o, 3*k + 4*o - i = 0. What is the greatest common factor of k and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)\/((z\/((z*z*z**(2\/11)*z)\/z))\/z)*(z**(-2\/3)*z)\/(z\/(z\/(z*z**(-3)))))**21)**(-2\/3) assuming z is positive.\nAnswer: z**(-1162\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from iliilliiiiiili.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10218969 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 805.1071 micrometers in millimeters?\nAnswer: 0.8051071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104358170?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(99\/22 + -4). Let n be (-1)\/(-1) - (-6)\/(-2). Let i = n - -1. Sort 3, q, i in descending order.\nAnswer: 3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, f: 1, v: 9, s: 2}. What is prob of picking 2 v and 1 i?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7824 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1708*g - 1712. Let n be t(-1). Let h be 13*3*(-4)\/6. Put -1, n, 0, h in decreasing order.\nAnswer: 0, -1, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10 - (741 - 747).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*f + 552*f + 549*f - 1825*f + 6 - 6 + 178*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1385 or 1383?\nAnswer: 1383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) -1\/5 (c) -2\/7 (d) -1\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 8 - c + 0*c + 0 - 9. Let f(v) = 4*v**3 - 6*v**2 + 4*v + 4. Determine f(j) + 4*m(j).\nAnswer: 4*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2022567561 rounded to 3 dps?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(9\/(-30)*(31 + (-1360)\/180) - -7).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.981637nm in centimeters?\nAnswer: 0.0000000981637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172 + 118. What are the prime factors of (4\/2)\/(z\/(-9585))?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 245, -32, -4 in decreasing order.\nAnswer: 245, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*g**2 - 2799*g**3 - 57*g + 5599*g**3 - 2798*g**3.\nAnswer: 2*g**3 - 311*g**2 - 57*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/65)\/((4\/(-2))\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28485 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 227663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1446.03 + -1446. Put 2\/5, -13, 4, y in descending order.\nAnswer: 4, 2\/5, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.635 * 2822.\nAnswer: 4613.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -863 bigger than -863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 3. Let l(d) = -3198*d - 4428. Give 5*l(p) - 7380*r(p).\nAnswer: -1230*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -5230.5\nAnswer: -5230.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 11 = d, 12 - 11 = -p + 3*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -33.049. What is z rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 1. Suppose -5 = -3*b + 2*q, q - 2*q = 5*b - 30. Suppose -7 = 2*u + b*j, 0 = -3*u - j + 8 + 1. Calculate x(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -24.46.\nAnswer: -48.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 3\/91339178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085\/11 bigger than 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -372, -561?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3014, 3051, 3098, 3161, 3246, 3359, 3506, 3693?\n\"Answer: b**3 - b**2 + 33*b + 2981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -11, -1, -2, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-45)*(99 - 153).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 26 = -d, 5*d + 2*u = 4*d + 2. Solve -8*t = d - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465936640 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8809145?\nAnswer: 5, 17, 37, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6129371 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - 15 - (4 + -9 - 3 - 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 4:44 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-32)*(-82056)\/789?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 47. What is the second biggest value in 5, o, -0.5, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3 - 1 - x**2 + 0*x + x**3 + x. Let z(n) = n - 2. Let w be z(2). Determine l(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/10 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22182 from 0.6.\nAnswer: -22181.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 281659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155 or 18\/5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 t when three letters picked without replacement from {e: 1, t: 3, i: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*m - 3 = 23, 5*n = 5*m - 40. Let h be 8 + n*32\/40. Solve 4*c - r = -5*r + 8, -3*c - 4*r + h = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 4*s**2 + 8*s + 16. Let m be b(-3). Is m at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3728272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819345 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/45*(-95)\/(-57)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4952.0203 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(40\/(-320)). Let m(f) = 14*f + 11. Let j(v) = -5*v - 4. What is w*m(b) - 11*j(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1363 divided by -245\nAnswer: 1363\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 25*t + 17. Let g be j(12). Let o = -2 - -5\/3. What is the second smallest value in -0.01, g, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 - 156*l**4 + 1143*l**3 + 104124*l**2 - 1140*l - 103968 = 0. Calculate l.\nAnswer: -38, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 14. Let f(n) = -6*n + 9*n - 5*n + 25 + 1. Is f(t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cggv when four letters picked without replacement from {g: 15, v: 2, c: 3}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 70*p**3 - 2*p + 98*p**3.\nAnswer: 168*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 b when three letters picked without replacement from bbbbbvbbbbbbbbbbbbbb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aasasgasass. What is prob of sequence aaa?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1871\/18 + 104. Let g = 4\/9 + x. Let d = -5 + 3. Which is the nearest to g? (a) d (b) 0.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/34 - 39\/170. Let g = -9 + 13. Suppose -5*n + 3*q + 0*q = -4, -2*n = -g*q + 4. Which is the closest to i? (a) 0.4 (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 4) + (105 - -236). Solve -342 + y = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 12*q = -10*q + 12, 0 = -3*h + 4*q - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 4*k**2 - k + 4. Let y be l(4). Suppose -3*u + y*u + 27 = 0. Let w be ((-3)\/(-2))\/(u\/12). Solve -w = -5*t + 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2640 and 127380.\nAnswer: 509520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588508*z**3 + z**2 - z**2 - 588025*z**3.\nAnswer: 483*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(45) - sqrt(15))\/(sqrt(35)\/(sqrt(7) - sqrt(175)))*-5.\nAnswer: -40*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8062802563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 78 = 4*y, -21 = 5*i - 3*y - 428. Let d = 80 - i. Let m be (-11 + 11)*(d\/(-4) + 0). Solve m = -0*a + 4*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343864 is divided by 38206.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/11921 (b) -0.4 (c) 1\/5 (d) -0.1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17118.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 15 - 6*o - 3*o - 233*o**2 + 226*o**2. Let q be h(8). Which is bigger: 8 or q?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + 0. Let m(f) = 5*f**2 + 2*f + 1. What is the remainder when z is divided by m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11345*(-10)\/200)\/((-1)\/(-8))?\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + f)*(505 - 67 - 171) + (0 - 1 + 2)*(-f + 4*f - 2*f) - 2*f + 2*f - 3*f to a + u*f and give u.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + 2*a**3 - 3*a**3 + 2*a - 4*a**3 in the form k*a + g*a**2 + c*a**3 + h and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2066048.\nAnswer: 2066048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 809*f. Let k(i) = -234*i. Let h(p) = 2*b(p) + 7*k(p). Let x(a) = 101*a. Calculate h(x(w)).\nAnswer: -2020*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*w + 18, q - w = -226 + 235 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 (base 12) in base 11?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 5*m)*(4 + 12*m + 20*m - 34*m) in the form r*m**2 + v + p*m and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/60 - r**4\/12 - 11*r**3\/6 + 3*r**2\/2 + 5*r. Let f(t) be the first derivative of z(t). What is the units digit of f(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 869 + -869. What is the second smallest value in 1\/7, y, -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.2 or 0.7?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-56) - (-169)\/910. What is the nearest to -0.1 in -5\/7, 0.055, l?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuuuumuqkiii. What is prob of picking 1 k and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(1\/3)*t*(t*t*t**(-8\/9)*t)\/t*(t**(-12))**41 assuming t is positive.\nAnswer: t**(-4403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80, -124, -152, -164, -160, -140?\n\"Answer: 8*k**2 - 68*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198 - 212. Let t be (-663)\/5 - 4\/10. What is the tens digit of 4\/d - 4028\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*v**2 - 24*v**2 - v**3 - 4*v**3 - 21*v**2 - v + 0*v in the form a*v**2 + s*v**3 + q + r*v and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glgggglgggllglgggl. Give prob of sequence lgg.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 943 + 240. What are the prime factors of s?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-88)\/(-6) + 4\/12. Suppose 4 = 2*j, 5*n + 4*j + 2 = 30. Suppose b + g = 7, -n*g + 8 = 2*b - 8. Calculate the greatest common factor of d and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665745395 is divided by 475193.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 142459 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - p + 1. Let m(k) = -3*k**2 - 11*k - 7. Let h be m(-1). Let f(n) = 6*n**2 - 6*n + 3. What is h*f(b) - 5*t(b)?\nAnswer: b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i - 4*m = -14, 3*m = 0. Let u(p) = -31*p + 22*p - p**2 + 10 - 7. Give u(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 7 - 3 + 0*j**2 + 10*j. Suppose 4*s = -k + 63 - 80, -s - 51 = -4*k. Calculate o(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*s + 72000 = -664*s - 180*s + 260*s for s.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (8 - (5 + -2 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1055442 (base 6) to base 10\nAnswer: 54386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2930178 less than -2930143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 49*b - 494. Calculate o(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095037912.\nAnswer: 2, 11, 23807249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 15. Suppose -2*l + q = -0. Suppose 0 = -4*z - l*k + 292, k - 70 - 4 = -z. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0, -0.6, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 777\/11644?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 74, 78?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*t - 203*t + 27*t.\nAnswer: -215*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 1, 78, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18965694?\nAnswer: 2, 3, 11, 113, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1677*0.08651\nAnswer: -0.014507727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1750.83 * 0.46\nAnswer: -805.3818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10171\/12 - -3315\/4. Find the common denominator of r and -139\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 16 - 8) + -5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (sqrt(325) - (sqrt(325) + 1)) - sqrt(325)) + (-4 + -3*sqrt(325) - sqrt(325)))*1)**2*-6 + -2.\nAnswer: -48902 - 1500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebsbvssvbbbd. Give prob of sequence sbs.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -240 - v - 2*v + 239 - 4*v - 6*v**2. Let z(w) = 13*w**2 + 15*w + 3. Calculate -9*q(n) - 4*z(n).\nAnswer: 2*n**2 + 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -33. Let h(i) = -i + 5. Let g be h(4). Is z bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, -1, -7, -13?\n\"Answer: -6*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25.8579 and 0.3?\nAnswer: 26.1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + i - 1 + 2)*(-2*i**2 + 3*i**2 - 11*i**2) as f*i**3 + r + g*i**2 + c*i and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 20 = -w. Is (19*w)\/(-8 - -7) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 8*c = -6681. Calculate the common denominator of c\/(-60) + -3 - -6 and -23\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + 8 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 761607, 3046419, 6854437, 12185661, 19040091, 27417727?\nAnswer: 37318569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**5\/20 - l**4\/3 + l**2 - 2422*l. Suppose 0 = 3*v - 5 - 7. Suppose 0 = a - v*g - g - 28, g = -a - 2. Determine x(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/42)\/((-1)\/7). Let z be (-6 - 8)*9\/x. Let q = z + 39. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/13 (b) -3\/7 (c) 1\/7 (d) 1 (e) -1 (f) 23 (g) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 0. Let k = z - -9. Which is the closest to 0? (a) -2 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 14 = -2*h, -3 = h + 5*g + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:02 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -65*r**2 - 1496*r - 26. Let b be f(-23). Sort -4, -9, b, -2 in descending order.\nAnswer: -2, b, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4222)\/(-4) - 3*(-6)\/36. Let i = v - 531. What are the prime factors of i?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/15379 - -292523857\/92274. Let f = c + -3185. Find the common denominator of f and -65\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 243 + 54. Solve -4*a + 13*a = y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*l**2 - 311*l**2 + 167*l**2 - 11*l**2.\nAnswer: -575*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67318 is divided by 874.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 divided by 1?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3846767 divided by 4\nAnswer: 3846767\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004192 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12908218 and -0.4.\nAnswer: 5163287.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 335193\/4 and 83797 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 8) to base 6\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4 - 0. Suppose 5*s = 2*a + 11, 0 = -3*s + q*a + 3 + 6. Suppose 3 = o + s. Sort o, -2, -4.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (0 - 17) - -18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1151\/72 + 145\/9. Let c = 6.6 + 0.4. Let i = c - 11. What is the closest to 3 in b, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332, 331, 326, 317, 304?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**4 - 6*y**3 + 26490*y**2 - 1067231*y - 2.\nAnswer: 12*y**2 - 36*y + 52980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595912 is divided by 977?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 109*m + 168. Let k be j(-43). Calculate the highest common divisor of k and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -10149590\nAnswer: -9134631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 849 and 35.\nAnswer: 29715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-1 - -3) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 2, i: 2, u: 1}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - d - 2*d + 8 = 0, 0 = -3*i + 2*d - 2. Solve -i*w + 7*w - 2*r = 5, -3*r - 11 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 5. Let i = -51 - -54. Let r(t) = -8 + 2 + 2*t - t - i*t. Calculate -3*r(q) + 4*z(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -113\/4. What is the smallest value in l, 0.5, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t + 242*t - 67840 = -407*t - 281*t for t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34739831.\nAnswer: 7, 4962833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1603 + 8.8272. Let y = 9 - i. What is y rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or -51956.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.4. Let s = -0.8 - n. Is 2 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12984)\/32)\/((-6)\/184) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3 - 2*a + 3. Let u(z) = 10*z - 4. Let h(c) = 5. Let y(n) = -22. Let l(w) = -9*h(w) - 2*y(w). Let f(t) = -4*l(t) + u(t). Determine m(f(r)).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (6 - -22 - 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 5*x + 5. Let a be 7\/(-168)*-6 + (-38)\/(-8). Let m(t) = -7*t**2 - 10*t - 12. Let q(g) = a*j(g) + 2*m(g). Determine q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. Suppose 2 = -x*i, 5*i = 3*y - 8*y + 50. Suppose -w + 0 = -y. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 2. Let y be r(-2). Let p = 751 + -750. What is the smallest common multiple of 12 + (y\/(-2) - 0) and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 17*c + 13. Let r be l(-9). Suppose 3*v = r*t + 13 - 5, -16 = -4*v. Let p be ((-6009)\/3 - -3)\/(t\/2250). Round p to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -93, -3, 2 in decreasing order.\nAnswer: 2, -1, -3, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5015 and 2360?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11007\/40 - 1363\/5. Let m = -7550091487\/18103 + 417063. Let l = -814699\/579296 + m. Calculate the common denominator of l and k.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 h when four letters picked without replacement from yyhhhhhhhhyhyhhhhhh?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 872 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 38*k**2 - 34*k - 157. Calculate s(-5).\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 212281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -41056 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 31*n - 46. Determine d(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174021668 is divided by 48?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4.7, 2, -8\/5, 2\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -9 + 15 + (5 - (2 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/2 + 801*q**2\/2 - 3126*q + 4662.\nAnswer: -3*(q - 259)*(q - 6)*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 2*k**2 + k + 40. Calculate the remainder when 121 is divided by c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + m = -6 - 9, 0 = 3*j - 4*m - 44. What is the derivative of -1 - j*z - 21*z + 34*z wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.942 - -0.058. Let h = -24.5 + l. Let v = -0.6 + 5.6. Which is the second biggest value? (a) v (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 114*n**2 - 2*n - 135. Let r(s) = 123*s**2 - 2*s - 134. Let m(c) = -5*o(c) + 6*r(c). Find the second derivative of m(p) wrt p.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -167 + 51 - -128 - 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = h + 16 - 6, 0 = 3*h + 5*x + 22. Let r = 21 + h. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -8*p + 4*p, -5*p + 3 = 2*j. Which is the smallest value? (a) j (b) -1\/4 (c) -11 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 55*s + 327. What is the remainder when m(20) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, -10, -20, -28, -34, -38?\n\"Answer: y**2 - 15*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106990483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5 + 10 + 3 - 16 + 2*u. Let b(z) = 2*z + 2. Suppose 2*j - 10 = -0*j. Determine j*b(i) - 4*a(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q + 11. Let u be f(0). Let c = 1 - -5. Suppose 0 = j - c - 5. What is the highest common factor of u and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-8)\/(-7))\/((-82)\/287).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 s, and 1 q when three letters picked without replacement from qrbjtrsj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -29*b**2 - 61*b + 40. Calculate t(-6).\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-1))**(-14)*(h**0)**(-15)*(h**(1\/4)\/h)**44\/((h*h**(-4\/9)*h)\/h*h*h**(4\/3)) assuming h is positive.\nAnswer: h**(-449\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2000, -2006, -2022, -2054, -2108, -2190, -2306, -2462?\n\"Answer: -w**3 + w**2 - 2*w - 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/34)\/((-1)\/2 - -1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vquvkk. What is prob of sequence uqk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101.688ug to kilograms.\nAnswer: 0.000001101688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {l: 1, r: 1, y: 2, s: 1, f: 1, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 + 1.4. Let a = -3 + s. Let j(r) = 3*r**2 - 53*r - 17. Let p be j(18). What is the second smallest value in 4, 8, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4 + 1779\/6*-1. List the prime factors of (1 + w\/(-10))*10.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 55?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-25))\/(68 + -69). What is the biggest value in 1, -2, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 + -101.98. Round z to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -233 (c) 9469\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29 + -0.09. What is the second smallest value in -4, 1\/3, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**32*(c*c**(-30))\/c*c**(16\/3)*c**(6\/29) assuming c is positive.\nAnswer: c**(656\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14) - (-3650)\/(-1750))\/(24\/30)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t**(1\/2))\/(t**1)**9*((t*t\/t**(-4))\/(((t**(-7)*t)\/t)\/t))\/((t*t**0\/t)\/(t\/t**4*t)) assuming t is positive.\nAnswer: t**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 44*i. Let w(t) = -4*t. Let p(a) = -3*b(a) - 32*w(a). Let g(l) be the second derivative of l**4\/6 + 21*l. Calculate p(g(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12742292 and 4976.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 43.60059 nanograms?\nAnswer: 0.00000000000004360059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 8, 3, -0.5, 428052, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 391250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*b + 3*b - 54 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158259*r**2 - 50499*r.\nAnswer: 316518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*200\/(-60)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 22\/3*z - 8*z**2 - 20\/3*z**3 + 0 + 8*z**4 - 2\/3*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 12, 8, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250706085 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(512)*2) - ((-1*(sqrt(343) - sqrt(7)))**2 + 2)) + 2.\nAnswer: -252 + sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47152.\nAnswer: 2, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360996408?\nAnswer: 2, 3, 23, 29, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-119)\/34)\/(-7)*-38?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/4, -0.53 in ascending order.\nAnswer: -1, -0.53, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**7\/2520 - q**6\/36 - 8*q**5\/15 + 64*q**4\/9 + 63*q**3 - 211. Let r(o) be the third derivative of y(o). Factor r(i).\nAnswer: -(i - 2)*(i + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 + 6*l + 2. Let g be u(-4). List the prime factors of ((-18)\/10)\/((-3)\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 48575?\nAnswer: 48574.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -83. Let n(y) be the second derivative of 0 - t*y + 0*y**2 + 1\/3*y**3. Let c(s) = 2*s. Determine n(c(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222301 (base 4) to base 14.\nAnswer: dd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 619.2 + -619. Which is the fourth biggest value? (a) x (b) -44 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 12*p**4 - 8856*p**3 - 1022721*p**2 + 14404689*p - 48009858 = 0.\nAnswer: -113, 13\/2, 838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 15 = 3*r, 4*r - 33 - 6 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (5 + 22\/3)\/((-3)\/(-18))?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*j**2 + 10*j**3 + 193*j**2 - 97*j**2 in the form d*j + w*j**3 + h*j**2 + i and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3893 - -3926.7. Which is the smallest value? (a) 0 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7054\/3, -2, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-90)*-2*(-103293)\/(-499)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 90988598.63 and 5337.\nAnswer: 90993935.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j - 10. Suppose i + 8 = -5*f, i - 5*f = -3*f + 20. Calculate the smallest common multiple of g(9) and i\/9*(-9 - -12).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -4. Let x be 45\/(-18)*(-4)\/(-5)*2. Put h, 4, x in descending order.\nAnswer: 4, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 197\/(((-25)\/(-10))\/5). Suppose -10*a - 134 = -m. What is the second derivative of -10*u + a*u**2 + 6*u + 0*u wrt u?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**7\/315 - w**6\/25 - 3*w**5\/25 - 352*w. Factor b(x).\nAnswer: -2*x**3*(x + 3)*(x + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - 3*z**2 - 20*z**2 to the form x + f*z + n*z**2 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -136*p**2*r**3 - p**2 - 217*p*r**4 + 101368 wrt r.\nAnswer: -408*p**2*r**2 - 868*p*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.12 and 17222.\nAnswer: 17221.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -770\/97379 or 0?\nAnswer: -770\/97379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*m)*(2*m**3 + 2 - 2) + 3*m**2 + 3*m**4 - 3*m**2 + (3*m**2 - 7*m**2 + 2*m**2)*(2*m**2 + 0 + 0) + 23*m**4 + 38*m**4 - 25*m**4.\nAnswer: 31*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/123 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + (-2)\/3*-3)*(-531 + (-194775)\/(-371)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4198849 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 2\/3, 2, -3\/5, 260?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1700348792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122120110100 (base 3) in base 4?\nAnswer: -11113323321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 bigger than 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**6\/180 - k**5\/30 + k**4\/12 - 2*k**3\/3 - 3. Let o(x) be the third derivative of p(x). Factor o(h).\nAnswer: 2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901*l + 901*l + 3*l**3 + 11*l**3.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1210721 divided by 61\nAnswer: -1210721\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-200)\/1520*-19 - (-2 - (-6)\/4). Put 2\/5, x, -3, -0.19 in descending order.\nAnswer: x, 2\/5, -0.19, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 11*k**2 + 3. Let t be g(11). Let m(l) = t*l + l + l + 6 - 3*l. Determine m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2649127334 to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2513 = 182*j - 3493 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -348 - 232. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 240 - 239.6. What is the second biggest value in -2, l, -4, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/((-9)\/54). Suppose 4*g = d - 9, g + i*d = -g - 12. Is 194 + g\/(-3)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 - (-3 + 1)) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 7*u**5\/60 + 7*u**4\/12 - 14*u**3\/3 - 20*u**2. Is g(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4852520983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 5*q + 4*q + 1, -5*q = 2*i - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-12) + (-11)\/(-28) and -23\/766?\nAnswer: 5362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from {q: 2, e: 2, n: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213 - 213 - s**2 + 8*s - 3*s**2 to l + p*s + m*s**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -19*h**6\/280 + 11*h**5\/20 + 13*h**4\/8 - 5*h**3\/14 - 812*h**2. Let o(w) = 0. What is w?\nAnswer: -1, 1\/19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 1:46 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/5)*p**(-8)\/p)\/(p**5*p\/p**(-3\/4))*(((p**(2\/7)\/p)\/p)\/p**7)\/(p\/(p*p\/(p*p\/(p**(3\/2)*p))*p)*(p*p*(p**(-2\/9)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(-26891\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119459 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 + 636*b**3 + 1299*b**2 - 3192*b - 3852 = 0. Calculate b.\nAnswer: -3, -1, 2, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 2*v**2 + 9*v + 7. Let u(r) = -46*r - 602. Let f be u(-13). Calculate g(f).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272315465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-5)*3*2\/6. Which is the second biggest value? (a) l (b) 14 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a4 - 16ac?\nAnswer: -1883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 + 45. Let l = 82.99999941 + j. Round l to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)*2)\/sqrt(10) + sqrt(480)\/(2*sqrt(12)))\/(-2*sqrt(56)\/(sqrt(567)*-3))*-4.\nAnswer: -135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3558889466.\nAnswer: 2, 11, 31, 5218313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -5*m - 12. Suppose 0*k - 3*k + m = 0. Is k - 5\/((-15)\/171) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**7\/168 - 5*g**6\/24 - g**3\/3 + 49. Let i(k) be the third derivative of d(k). Determine m, given that i(m) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0, -59, -3, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + -3 - (3 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 1. Let k be d(2). Let i = k + -2. Solve -i*j + 5*j - 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*j = -0*j + 18, 12 = -2*r - 4*j. Find the second derivative of w + 2*w - r*w**2 + w**2 wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (9 + (6 - 7))) + (5 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j\/(j*j**(-2)))))**(13\/3) assuming j is positive.\nAnswer: j**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/9? (a) 5 (b) 0 (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156392\/7 - 22342. What is the fourth biggest value in -6, -1, x, 0.1, -4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -18, 35, -2 in increasing order.\nAnswer: -18, -2, 2, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, -14, -36, -70, -116, -174?\n\"Answer: -6*s**2 + 8*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 2, 0.2, -11, -6, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iikiriiikkiiriik. Give prob of picking 2 k and 2 i.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(30)\/sqrt(6) + 2 + sqrt(5) + -3) + -4.\nAnswer: -12*sqrt(5) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.5 + 32.5. Sort i, 10, -3 in decreasing order.\nAnswer: 10, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 2 = -5*f - 3*v, 0 = -f + 2*v + 5. Let w(a) = 31 + 5 - a - 35. Let z(k) = -8*k + 6. What is f*z(q) + 6*w(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*u + 1, 2876*u - 8*t = 2875*u - 23 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**3 - 6*z - 4. Let x(u) = 4*u**3 + 7*u + 5. Calculate -5*g(i) - 4*x(i).\nAnswer: -i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 146, 302, 458, 614, 770, 926?\n\"Answer: 156*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -368a + 865?\nAnswer: -2d25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d + 0*d + d - 7*d in the form u + c*d and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 39 = -3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -807.9 + 804. What is the closest to z in 5, 4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1)*1*-1. Is 1\/4 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/28401 and -58\/381.\nAnswer: 3606927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -17, 2, -775 in decreasing order.\nAnswer: 12, 2, -17, -775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17138 is divided by 8448.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 1194*t**2 - 1939*t**2 + 220*t**2 + 741*t**2.\nAnswer: -2172*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 9135903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7551653561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**3 - 1585 + 1585.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*h - 9*h**2 + 274*h + 281*h - 13*h**2 - 13*h**2 + 36*h**2 + 93*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 73, 269, 641, 1243, 2129, 3353, 4969?\nAnswer: 7031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1044227860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*h. Suppose h = -4*c + 11*c. Suppose c*w + s = 3*w - 126, -5*s = -w + 28. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.14073158116 + -0.1373\nAnswer: 2.00343158116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 41*p**2 + 86*p - 29. What is n(-43)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 182, 191, 200?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, 2, 0, -272, -4 in increasing order.\nAnswer: -272, -4, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/316 and 19\/97328.\nAnswer: 97328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 4*b - 3*b)*(10305*b + 11063*b - 6708*b) as d*b**2 + y + i*b and give d.\nAnswer: -14660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 101*t = 106*t - 19, -9 = -2*k - 3*t for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 2 + (-5)\/((-160)\/(-4484)). Let k = q - -517\/4. Calculate the common denominator of k and -45\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 24)\/(11323\/33969)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, m: 4, s: 2, h: 3}. What is prob of picking 3 m?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -29473*h**2 + 58939*h**2 + 17 + 15*h - 29470*h**2 - 2*h = 0.\nAnswer: -1, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 4*g + 44. Let o = g - -10. What is the third biggest value in -3, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-4)))**(2\/47) assuming b is positive.\nAnswer: b**(8\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(62*p - 62*p - 16*p**3)*(26*p - 8*p + 54*p) to a*p + n*p**4 + c + i*p**3 + v*p**2 and give n.\nAnswer: -2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*k = 10, 5*n + 47*k - 11 = 45*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = -2*j - 168, -2*j - 484 = -3*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -15. Suppose -2*x - u = -4*x. What is the smallest common multiple of 7 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(2\/43)*((j\/(j**(-2\/5)\/j))\/j)**(25\/4) assuming j is positive.\nAnswer: j**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 3*j - 11, 2*j = -5*h + 20. Suppose 0 = -h*p + 749 - 199. List the prime factors of p.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 47.210536 and 338162.\nAnswer: 338209.210536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.3, -2, 2, 1\/7 in descending order.\nAnswer: 14, 2, 1\/7, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*k - 9, -3*k + 4 = k. Calculate the least common multiple of 144 and o.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 p when three letters picked without replacement from opmikmpkmmplm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q**5 + 40*q**5 + 0*q**5 + (3*q**3 + 0*q**3 - 2*q**3)*(q**2 - 3*q + 3*q) + 0 + 0 + q**5.\nAnswer: 29*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 635 = -28*o. Put o, 23, -4 in descending order.\nAnswer: 23, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 4:25 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*r + 4*r. Suppose 2*x - r*a = 70, 2*x - 2*a = -4*a + 50. Calculate the greatest common factor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 288, 105, -136, -435, -792, -1207, -1680?\n\"Answer: -29*x**2 - 96*x + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o + 3*o - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**2 - 4*i. Calculate the remainder when y(4) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 15. Suppose 4*c - a = -0*a + 77, 5*c - 3*a = 105. Let f(y) = -1. What is c*f(v) + j(v)?\nAnswer: -6*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -706 + 711. Let m(z) be the second derivative of 0*z**3 - 2*z + 0*z**4 + 0 + 5\/2*z**2 + 1\/20*z**d. What is the derivative of m(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/(-5*sqrt(180)))\/(((sqrt(300) - (-2*sqrt(300) - sqrt(300)))\/sqrt(5))\/sqrt(6)))**2.\nAnswer: 1\/4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.06578\nAnswer: -0.19734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*s = -135*s + 36*s - 1410 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*t - 1. Find the second derivative of t - 9 - 11*o + 8 + 29*o**4 wrt o.\nAnswer: 348*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 1. Let l = 7 + -4. Let d = -3 + l. Let j be w(d). Solve 2*n + j = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-147))\/(1*2\/(-24)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d - 135. Let t = -767 - -719. Let i = d - t. Solve 0 = z + i*z + 16, 5*z + 16 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-28))\/2 + 8500\/(-25585).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, m: 3}. Give prob of sequence mdmm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8 and 97\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 12)*(-2)\/(27\/((-216)\/16))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -389 - -467. What is the greatest common divisor of k and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**4\/6 + g**3\/3 - 3*g**2 - 7*g. Let r be s(6). Let l = 119 - r. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -56. Let t(d) = 2*d**2 + 32*d. Let h be t(b). Solve h = -3*g - 2 - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 + 7*a - 9*a + 1 + 20*a**2. What are the prime factors of q(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -732a (base 13) to base 2\nAnswer: -11111000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49865708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 63 (b) 304 (c) -417 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 832 and 36709088.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/18)\/(-67*(-56)\/(-84))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 287777 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 61. Is j not equal to -2\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1534 and -63\/10.\nAnswer: 7670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v**4 + 101*v**3 + 74*v**2 - 163*v. Let a(z) = -13*z**4 - 151*z**3 - 112*z**2 + 246*z. Let m(x) = 7*a(x) + 10*j(x). Factor m(y).\nAnswer: -y*(y - 1)*(y + 2)*(y + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 14, v: 2, l: 1}. Give prob of sequence hlv.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:08 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5 + b**2 - b + 3*b + 0 + 3*b. Let c be f(-5). Let p(s) = s**3 + 7*s**2 + 5*s - 1. Let n be p(-6). Solve n*t + 15 = -3*u, -4*t + c = -u - 0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7488977*m**2 - 7640223 wrt m?\nAnswer: -14977954*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12\/11 (b) 2\/7 (c) 1\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-3)\/(-12)*14). What is the fourth biggest value in -5, k, -2\/21, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 to the power of 1\/3, 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 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 9:47 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10078667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.5662 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 1, -9, -27?\n\"Answer: -4*f**2 + 10*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 - 3*r**2 + 1. Let m be c(-2). Let o = 71 - 153. Let g = o - -134. Calculate the greatest common factor of m and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 at most 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*0.4.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 - -377. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (14 + 0 - 7)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 15, 6*f - f - 4*j - 840 = 0. Suppose -234 = 4*z + 5*s, -z + 4*z + 2*s = -f. Let r be 84003\/(-7) - 24\/z. Round r to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776 - 772 + 1548 - 131*f + 132*f - 24*f**2.\nAnswer: -24*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 2. Let n be m(-5). Suppose -3*o - 9 - 48 = 0. Let x = -17 - o. Sort x, 0, n in ascending order.\nAnswer: 0, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160656 and 532173?\nAnswer: 8514768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6183 < -5468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 76. Calculate the remainder when i(0) is divided by 156\/15*(-5)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4644222?\nAnswer: 2, 3, 11, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-531)\/(-15) + 4\/(-10). Suppose -3*n - n + 47 = -5*o, 3*n - 4*o = g. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8335368 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1, d + 5 + 8 = 7*n. Sort 1, -2, 75, n in increasing order.\nAnswer: -2, 1, n, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2708, 13223, 30750, 55289, 86840?\n\"Answer: 3506*h**2 - 3*h - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32676 and 27?\nAnswer: 294084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {v: 1, r: 1, y: 2, j: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*j - 737, -2*j + 95 = 4*c - 495. Let g be c\/(-2)*8\/(-6). Suppose 3*v + 73 = -3*o + 250, 2*o - 3*v = g. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10.8440586 seconds?\nAnswer: 0.0001255099375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - y + (-4 - 1 + 3)*(-2*y + 0*y + 6*y) + y + 0*y - 2*y)*(107*y - 107*y - 257*y**2).\nAnswer: 2056*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 13, -6, 0, -31, 8 in descending order.\nAnswer: 13, 8, 4, 3, 0, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s + 5150 = -17*s. What is the remainder when s is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 1789314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 4 - 22)*(-2*a + 0 + 0) - 5*a + 4*a + 0*a + (-1 - a + 1)*(-1 - 1 + 0) + a + 2*a - a + (2 + 1 - 5)*(0*a + 0*a - a).\nAnswer: 77*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (648\/599076)\/((-24)\/(-1032))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 0.2624166.\nAnswer: -11.2624166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 266 - 268. Is (-4)\/u*31913\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-7) - (1 + -1). Suppose -2*v + l*a = -44, 4*a - 66 = -4*v + v. Suppose 5*n - 22 = 2*c + 51, 2*n = -c + v. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 2:58 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 764203689*d + 899830931 wrt d?\nAnswer: 764203689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23065 (base 7) to base 13.\nAnswer: -28a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 42*z. Let x(t) be the third derivative of 2*t**2 + 0*t**3 + 0*t + 0*t**4 - 1\/60*t**5 + 2. Determine h(x(a)).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**7\/1050 + 7*c**6\/150 - c**5\/5 + c**2 + 293*c. Factor b(f).\nAnswer: f**2*(f - 2)*(f + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 53.0795?\nAnswer: 52.6795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (1 - 16*-1). Suppose 3*q - 21 = 2*h + j, 0 = -q - 4*h + 9. What is the highest common factor of 143 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(4 + (-415)\/44 + 2\/11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let w(h) = -h. Let o be w(3). Let n be l(o). Let q(x) be the second derivative of -x**4\/12 - x**3\/3 - 3*x. Determine q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 438289*q**2\/2 - 6574334*q - 30 = 0. Calculate q.\nAnswer: -2\/438289, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/3 + 34*r**2\/3 + 182*r\/3 + 98 = 0?\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/15 + 65836*y**3\/15 + 13168*y**2 + 197524*y\/15 + 65842\/15.\nAnswer: -2*(y - 32921)*(y + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2578.000001187 + 2578. Round d to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 671 and 217379966?\nAnswer: 2391179626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -103331 - 0?\nAnswer: -103331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 7*m**2 - 12*m + 4. Let r be s(4). Solve 3*p + 3*o - 3 = 0, -4*p + 10 - 30 = -r*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:01 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:06 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -2. Suppose -2*w = -0*w + c. What is the nearest to -0.2 in -3, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 10. Let m = 17 + -10. Suppose -3*w = -1 + m. Let s(r) = 2. Calculate w*l(a) + 11*s(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 - 408 = 22*a. Sort a, -1, -4 in decreasing order.\nAnswer: -1, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*b + 171. Calculate the greatest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -306*y**4 + 1 + 313*y**4 - 1 + 21*y - 17*y + 33*y**2 to the form f + d*y + u*y**2 + s*y**4 + z*y**3 and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 0.2 (c) -3 (d) -0.29 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160486687885 - 249*y - 160486687885.\nAnswer: -249*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m + 6. Let w(f) be the second derivative of -f**3\/6 + f**2\/2 - 708*f. Calculate -3*w(b) + y(b).\nAnswer: -7*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 times -890?\nAnswer: -473480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308365353?\nAnswer: 3, 11420939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/(sqrt(11)*-2).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -569\/8 - -71. Let b be 10 - 219*(-3)\/(-63). What is the nearest to g in -5, b, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4 + 4*c**2 - 6*c**2 - 4*c + 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 149*o + 2544. Determine i(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -0.1. Let w be -1*-1*2*(-2)\/4. Which is the nearest to w? (a) 4 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18569590, 18569592, 18569592, 18569590?\nAnswer: 18569586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*5*(4 - (-528)\/(-135)). Let d = 22\/9 - y. What is the biggest value in 2, 10, d, -0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47927?\nAnswer: 11, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4250*m**3 + 3 - 7 + 65*m**2 - 64*m**2 + 6 + 9*m - 7*m to the form x*m + v*m**2 + d + y*m**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -197, -133, -83, -71, -121?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f + 2. Let j be z(-2). Let l = j - 12. Let v be (16\/6)\/1 - l. Which is the smallest value? (a) -2 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.52 - 17. Let b = l + -0.02. Let o(y) = -3*y**3 + y**2 - y + 1. Let k be o(1). What is the nearest to k in -5\/3, b, 0.3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22810 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 1:45 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -17) + (13 - (28 - -35)) + -61\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3775.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2881 is divided by 919.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 5. Suppose 41 - 45 = 2*u. What is k(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348611897.\nAnswer: 23, 15157039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 6. Let w be -3 + 4\/(-2) + 0. Let a be t(w). Let y(c) = 3*c - 1. Calculate the remainder when 21 is divided by y(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -270 + 270.1146. Let h = v - 0.0146. Which is the nearest to 2\/117? (a) 0.3 (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117756)\/(-121027)*(-3)\/(-162).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/4 + (-2)\/8. Let h = 0.05 + 0.05. Put h, s, 0.2 in descending order.\nAnswer: 0.2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.553 * -59.\nAnswer: -1389.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 1409571.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 + -76. Let a = 0 - 0. Is a at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 - 13*f - 30. Let i(m) = -6*m**2 - 13*m - 40. Let c(d) = 7*g(d) - 6*i(d). Give c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42*(-59078)\/(-457800) - 8\/100\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(2\/(2\/(-1))). Let p(n) = -n**2 + 6*n + 5. Let f be p(b). Calculate the lowest common multiple of f\/3*-18 - -2 and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aziz. What is prob of sequence zzi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**2 - 3379803*h + 1126602.\nAnswer: -3*(h + 375534)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, 5, 1, 4, -17, -5, -516 in descending order.\nAnswer: 354, 5, 4, 1, -5, -17, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 48\/(-1 + 5). Suppose o = x*o - 2989. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -15. Suppose 4*k = -h - q*h + 32, k = 3*h + 23. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -39*o - 8. Let z be 3\/(-1) - (5 + -10). Let k(j) = 13*j + 3. Let r(h) = z*c(h) + 7*k(h). Is r(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4929 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 + 1.5. Let a = 7 - x. What is the biggest value in 4, a, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102.2 + 102. Let o = -0.07 - -3.07. What is the biggest value in -4\/9, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iio when three letters picked without replacement from oii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/15709 + 15703\/31418. Let x = -7 + 6.7. Sort x, 0.39, h, 1\/4 in ascending order.\nAnswer: x, 1\/4, 0.39, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 + 8 + (14 - 25) + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owow when four letters picked without replacement from wwwwwwowwwwwwooowww.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 507364.8nm?\nAnswer: 0.5073648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 14927938?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r**2 - r**3 + 2*r**2 - 6*r + 3 - 4*r**2. Is 15 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -0.83. Let f = -449684 - -449683.20000128. Let j = g - f. What is j rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -37 + 31 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -195\/4. Let o = 52.8 + -53. What is the closest to o in -0.5, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-147)\/((-9)\/3) + (-6)\/3. Let k = -42 + z. Let b(s) = 46*s**2 - 9*s + 12. Is b(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/3, -1.4, -0.3, 2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45164175 and 1325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 = 3*h, -r = 5*h - 0*r - 4. What is the hundreds digit of (-2)\/(-4) + (h - (-1798)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605.051 rounded to the nearest 10?\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -4 (c) -0.4 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 898. Let y(t) = t + 886. What is -5*p(l) - 6*y(l)?\nAnswer: -l - 826","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d)**(-24\/13)*((d\/d**11)\/d)\/d**(-2\/25))**(-29) assuming d is positive.\nAnswer: d**(85521\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-260)\/714 + (-10)\/(-35))*(-6)\/4. Let c = -0.13 - -0.03. What is the fourth smallest value in 7, c, i, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2815 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(-4*(sqrt(125) + -4) + sqrt(125))*4*5)**2.\nAnswer: -15552000*sqrt(5) + 44744400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000086482 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28179727 to the power of 1\/2, to the nearest integer?\nAnswer: 5308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23, -3\/5, -890\/3?\nAnswer: -890\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 + 239. Suppose 10*t = 5*t + v. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77073 or 77071?\nAnswer: 77071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**8*((k\/k**1*k)\/k)**(1\/7) assuming k is positive.\nAnswer: k**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 6 + 88 - 3 - 2 + 6 + (5 + 0 - 3)*(1 + 0 + 1))*(0 + 0 - 2*i)*(7 + 1 - 2)*(0 + 0 + 2*i).\nAnswer: -1968*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 938*q - 473*q - 86*q**2 - 466*q. Let g(u) = -3*u. What is g(z(y))?\nAnswer: 258*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508\/10 - (-3)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9087396mm?\nAnswer: 908739.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 4*y - 5. Let s be o(5). Let j be -3 + -1 + 10 + 1. Suppose -j*f + 7*f = -5*f. Solve s = -3*c + 4*l - 4 - 23, c + 2*l - 1 = f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/6 + 85*d. Let r(k) = -81*k**2 - 2. What is r(y(f))?\nAnswer: -324*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2566 - 2564. Which is the third smallest value? (a) -0.3 (b) 0.09 (c) 0 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*s + 11. Suppose s*w - w = -14. Determine q, given that -5*q**2 + 19 - 21*q**3 - w + 26*q**3 - 5*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 2, 6 in descending order.\nAnswer: 6, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 325477814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2310 and -55\/482868.\nAnswer: 185904180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 209772568 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 132008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -524 + 468439?\nAnswer: 467915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m**2 + 16*m + 34*m + 3*m**2 - 28*m - 5*m**2 to the form f*m**2 + x*m + d and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 - 18*v**2 - 14*v - 12. Give o(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/(1\/(-16)). Let l be ((-40)\/(-6))\/(h\/36). Let t = 23 - l. Calculate the remainder when 24 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -900 or -17105\/19?\nAnswer: -900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -0.052 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 6*p = -680. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5683624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -891423.87 rounded to the nearest 100?\nAnswer: -891400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1603 + -1424. Calculate the remainder when s is divided by 92.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 398 = 3*t, -194*l - 45 = -124*t - 193*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31008055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - -12 - 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4508507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*n = -8, 12*x + 48*n = 45*n + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeerr. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/416 and -53\/1248.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/33163827 or 0?\nAnswer: -1\/33163827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*h - 20 - 0, -5*x + 3*h = 15. Suppose w = -p + 3, 2*p + x*p - 3*w = 11. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 14*g + 2. Let a be z(7). Find q such that -4 - 2*q + 5*q**a + 6*q**2 + q**3 - 2*q**4 - 5*q**2 + q**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j - 44*j + 49*j + 21*j + 92 + 71. Give r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (136\/(-1122))\/((-4)\/22). Let z(h) be the first derivative of 0*h + 1\/4*h**4 - h**2 - 6 + g*h**3. Calculate z(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from {a: 4, p: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t**3 - 2*t**2 + 3 + 0 + 23*t**3 to the form k*t**2 + s*t**3 + f + m*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -568, -571, -574, -577, -580?\n\"Answer: -3*j - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/2)\/(u**(-2\/3)*u))**(-16) assuming u is positive.\nAnswer: u**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qph when three letters picked without replacement from qhyyphg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4*(-1294)\/12)\/(156\/(-234)). Sort -4, r, 4.\nAnswer: r, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0210929 rounded to four decimal places?\nAnswer: -0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.317, -0.5, -0.01, -4, 1\/9?\nAnswer: 0.317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 12 - 4. Suppose -20 = -2*i + k. Let o(f) = 3*f**3 - 2*f + 1. Let a be o(1). Calculate the greatest common divisor of i and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19947 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2. Let t be (4\/3)\/((-4)\/6). Let c be -1*(-1 - (t - -3)). Let v(s) = -s**2 - s**2 + s**c + 4*s**2. Calculate u(v(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 274000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(99))*-3 - 6*sqrt(99)*-4)**2.\nAnswer: -174672 - 1512*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -10303777849358.5\nAnswer: -10303777849358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (107*a - 229*a - 105*a)*(16*a + a - 3*a) as q*a**2 + t*a + n and give q.\nAnswer: -3178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3087 and 100989.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 28. Let w be (-2 - -29)*m*1. Suppose -r + 936 = 2*r - 3*k, r = -2*k + w. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**3 + 14*c**3 - 22*c**3.\nAnswer: -34*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18808 divided by 2\nAnswer: 9404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, g: 2, h: 3}. What is prob of picking 1 h and 1 g?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/2)*y*y)**(-4\/7))**(-10\/17)\/(y**2\/(y*y**(-1)))**(-2\/19) assuming y is positive.\nAnswer: y**(2376\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-18)\/(-15) + 1076\/20)*(-70)\/140.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.42, -0.7, 0.1, -1?\nAnswer: -3.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -40) + (6 - 1) + -8 - 16?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 22. Let h = 4283\/11 + -389. Is g at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 2 + (-4 + 4 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (19 - -7)) + 43 + 35?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.52, 0.7, -333 in descending order.\nAnswer: 0.7, 0.52, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/14 + (-3168)\/(-693). Solve 6*y - 7*y = -4*c + 21, -23 = -w*c + 3*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 1183, 2691, 4817, 7567?\nAnswer: 10947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1411*h - 218*h - 56*h)*((-3*h + 0*h + 2*h)*(h + 2*h - h) - h**2 + 4*h - 4*h).\nAnswer: -3411*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -13. Calculate the least common multiple of 13 and c.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 11*q + 23. Let a(j) = 2*j + 4. Let u(x) = 34*a(x) - 6*g(x). Suppose 0 = -0*l + 2*l - 18. What is the lowest common multiple of u(6) and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**7\/720 - i**5\/15 + i**4\/8 + 41*i**2. Let t(f) be the third derivative of o(f). Let v(a) = -5*a**2. What is t(v(x))?\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -768 - -4*(-6)\/8. Let v = a - -1312. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334 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 d(c) = -c**2 - 5*c - 3. Let p be d(-4). Let o(f) = 3*f**2 - f. Let x be o(p). What is the common denominator of -33\/10 and (-346)\/12 + x + 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 2*w**5\/35 + w**4\/7 - 2*w**2\/7 - 2*w\/7 - 4. Solve m(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*l = -4, 4*t - 59*l + 57*l + 33 = -39 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(176) + 2)*-3 + 6*(sqrt(176) - (1*sqrt(176))**2).\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 16*p**3 - 158*p**2 - 4*p - 170. What is m(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*i + 3*i = -3, 3*c = 4*i + 4. What is b in -1\/3*b**2 + 0*b - 1\/3*b**3 + c = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -1. Let w = -9 - f. Let h = -12 - w. Solve 5*d = y + h, -y - 6 + 2 = -3*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/5739604 and -97\/2760.\nAnswer: 172188120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - d2b84?\nAnswer: -d2b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -10. Let x = k - 2. Solve 0*n = -x*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q*(q**(11\/6)\/q)\/q*q*q))\/((q*q*q\/(q*q\/q**36*q*q))\/q))**(-21) assuming q is positive.\nAnswer: q**(1505\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110009347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38332071 rounded to 2 dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 2. Let h be j(0). Suppose h*n = -0*n. Suppose n - 12 = -2*q. What is the remainder when 17 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 545*c + 48. Let l be v(5). Suppose -804 + l = h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327*a**2*g**2 - 1109*a**2*g - 20*a**2 + a*g**2 + 11*a*g - 9*g**2 - 43*g + 11 wrt a.\nAnswer: 654*g**2 - 2218*g - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) + 2*2*sqrt(280))\/(sqrt(45)*-5))\/(-3*(sqrt(162)*-2 - sqrt(162) - sqrt(200)\/sqrt(4))).\nAnswer: -sqrt(7)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -9*f + 75. Suppose -10*x + 5*x = f. Let g = x - -226. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 142*g - 1354. Determine i(9).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 at least 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*l = 2, -3*u = -5*l - 7509 + 7503 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -149*h - 6. Let l(i) = 299*i + 13. Let g(j) = 2*l(j) + 5*n(j). Let f be 2\/(-6) + (-8)\/3. Is g(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 9*w - 3*r + 8*r - 15 = -5, -18*r = -23*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 9820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8644150 is divided by 113738?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.907045ml?\nAnswer: 0.009907045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(1331) + -4 + -2.\nAnswer: -22*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55062 and 4599.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 2436595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 42 = 3*h, -679*h = -3*l - 683*h + 23. What is the remainder when 1590 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 13 = 5*d, 108*d - 106*d + 5*z = 1. Solve -4*x + 23 = d*y, -y + 7 + 9 = 3*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 153\/5. Let t(b) = b + 5. Let i be t(-4). Suppose i = 2*c + 3*v - 6*v, -2*v + 31 = 5*c. Sort c, -3, o.\nAnswer: -3, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124511368151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3 - 2*j**2 - 290578*j - 31891 with respect to j.\nAnswer: 6*j**2 - 4*j - 290578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-286)\/572*11*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.1. Let y = 41 + -6. Let i be (-4)\/y + 4\/10. Is i bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 2372784?\nAnswer: 2372784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 n when four letters picked without replacement from dndddddddn?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**7\/42 + 2*d**3\/3 - 3*d - 4. Let c(r) be the first derivative of f(r). What is the second derivative of c(b) wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.3, -0.17556, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7435 = 4*g, s + 7439 = 2*s + 3*g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107969861 is divided by 466?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 60 - 168 = 0. Find the common denominator of (-3144)\/b*(-2)\/(-8) and -77\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/7 - 1927021*d\/7 - 9635130\/7 = 0. Calculate d.\nAnswer: -5, 1927026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/6 + 92*w + 3962\/3 = 0.\nAnswer: -14, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*v + 219 - 2339 = -172 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23531 (base 13) to base 4.\nAnswer: -33301112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 + -154. Let u = r + 31. What is the closest to 0.1 in u, 5\/2, -27?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1559364)\/(-234) - (-2)\/39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 820911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-4)\/(-24)) - (-22925 - -12).\nAnswer: 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21684148 is divided by 450.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601, 2224, 4879, 8566?\nAnswer: 13285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.5 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000357252 to 7 dps.\nAnswer: 0.0000357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of -7*(-6)\/84 - 123\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u. Let p(x) be the second derivative of 0 - 7\/6*x**3 + 41*x + 0*x**2. Give g(p(j)).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 1 + 2 + sqrt(2) + sqrt(8)\/sqrt(4)*6.\nAnswer: 3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 2*i - i)*(2*i - i + 0*i) - i**2 + 5*i**2 - i**2 - 17360 + 89*i**2 + 17360 to the form m + t*i + k*i**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475252 is divided by 158225?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 + -108. What is the third smallest value in x, -0.1, -4.165?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*40\/650.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132061 * 13.36.\nAnswer: -1764334.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519 - -193. Suppose -k - d = -3*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 3*o + 10. Let s be b(2). Suppose s = 60*h - 59*h - 9. Calculate the lowest common multiple of 31 and h.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 9 - 21)*((2 + 2 - 1)*(-v + 3*v - 5*v) - 3*v + v + 3*v - 2 + 2 - v + (0 + 2*v + 0)*(2 - 2 + 1) - v + 0*v + 3*v - 1 + v + 1).\nAnswer: -104*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1373, 2\/7, -24130 in descending order.\nAnswer: 2\/7, -1373, -24130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 15*y - 9 - 25, -18 = -5*b + y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-8)\/n)))**(1\/37)\/(n*n\/(n**(-5\/11)\/n*n))**21 assuming n is positive.\nAnswer: n**(-21078\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/88065150 and -97\/200?\nAnswer: 352260600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*p - 257*p - 339*p + 17*p)*(16*p - 57*p - 17*p).\nAnswer: 26332*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3.5, -0.01, 0.1, 0.4?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.1 (c) 0.21 (d) 9\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 27.\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -468 - -504.1. Let g = b - 35.1. Sort g, -1\/2, -5 in decreasing order.\nAnswer: g, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/13 + (-8)\/(-52). Suppose 4*v - 4*f = 48, 2*f - n*f - 51 = -5*v. Solve 2*m + 1 - v = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-30)\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 38*d**2 + 73*d + 1321. Calculate a(-39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -x - 4560, -2*x = 3*l - 10937 - 2773. List the prime factors of l.\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2.9. Sort 0, j, -0.4 in increasing order.\nAnswer: -0.4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27336753 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 9*u**2 - u + 9. Give q(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(1\/4)*c*c*c**6*c*(c\/(c*c**(-1\/2)*c))\/c assuming c is positive.\nAnswer: c**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2165871 is divided by 85?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - u + 5. Let r(w) = -91*w**2 + 93*w**2 + 8 - 3 + w + 0 - 9. What is -4*r(i) - 3*v(i)?\nAnswer: -2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4530 + 672 = -328*x - 6278 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*g - 1680 = -7*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/15, 32, -2, 0.1 in decreasing order.\nAnswer: 32, 0.1, 1\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 84 - 91 - (1 + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 9, -487 in descending order.\nAnswer: 9, -55, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1945\/6 + -324. Let r = 0.033 + -0.333. Which is the closest to q? (a) 6 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -478, -1052, -2010, -3442, -5438, -8088?\nAnswer: -11482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2293?\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 64111121 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcy when three letters picked without replacement from yccccjkyyjcc?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, f: 3}. What is prob of sequence ffs?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-78))\/((-76)\/114).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1319 divide 2075339361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18451 - 8105. Does 110 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 4. Let r(d) = -10*d - 6. Let w(u) = -31*u - 16. Let m(k) = -8*r(k) + 3*w(k). Let q(i) = 10*i. Let y(x) = -4*m(x) - 5*q(x). Give y(s(p)).\nAnswer: -6*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 535429967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4, -16, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(14\/3)\/n*n))**(-2\/7))**(1\/16))**(-8) assuming n is positive.\nAnswer: n**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0 (c) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1 (c) -44 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5450400 and 67\/1090080.\nAnswer: 5450400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 198*j - 18. Let u(r) = -99*r + 8. What is 9*u(p) + 4*x(p)?\nAnswer: -99*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410621 is divided by 205306.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-105)\/5 + -3 + 7. Let v = 146 + s. Is v a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Let y(j) = j - 2. Let h be y(g). Suppose -h*x = 2*x + 2*s - 16, -s + 14 = 4*x. Solve -4*m + 1 = -x*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1408d (base 14) to base 6\nAnswer: 1021125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 905, 1312, 1737, 2186?\nAnswer: 2665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 18*c**2 + 18*c + 19. Let t = -34 - -17. Let q be a(t). Let k(z) = -3 + 1 + z + q. Let y(u) = -6*u**2. Determine y(k(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -30*(2 - (7 + -4)). Suppose -u + 5*l + 12 = 0, -72 = -u - l - x. Round u to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6 + (-52)\/104)\/(6\/27)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 151.0211682 microseconds?\nAnswer: 0.0000000002497043125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2257.\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 6e?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 10*o + 20*o = 3*o - 10, 3*o + 19 = -2*a - 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -27. Sort 0.1, y, 2\/15 in descending order.\nAnswer: y, 2\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 46*n**5\/5 + 5*n**3\/3 - 16. Find the third derivative of x(g) wrt g.\nAnswer: 1104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 21*v + 238. Let k(j) = -j - 12. Let n(z) = -119*k(z) - 6*o(z). Let p(h) = h. Let i(l) = 2*l. Let g(a) = i(a) - 4*p(a). Give g(n(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, -2, -8\/9, 1?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(14 + -9) - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12620 = 1891*a - 82202 - 14441 - 9870 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3957287 is divided by 791457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -65, -124, -217, -350, -529, -760, -1049?\n\"Answer: -s**3 - 8*s**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t - 125. What is the greatest common factor of t and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216047 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4098828?\nAnswer: 2, 3, 341569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 61. Let r = n - 32. What is the second derivative of 7*t - 9*t**r - 5*t + 3*t wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r - 6. Let d(l) = -2*l**2 + 110*l. Give d(t(j)).\nAnswer: -98*j**2 - 938*j - 732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+9051821793.046\nAnswer: 9051821792.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 699 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -632, -167, -4 in decreasing order.\nAnswer: -4, -167, -632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 26, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrmnmmm. Give prob of picking 1 r and 2 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47, 212, 641, 1466, 2819, 4832?\n\"Answer: 22*c**3 + 11*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(3\/8))\/a**(-8)*(a**6)**(10\/13))**(2\/25) assuming a is positive.\nAnswer: a**(1559\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - 42919.\nAnswer: -42918.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -47. Which is the second smallest value? (a) m (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 minus 31299?\nAnswer: -30964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(484) - sqrt(484)*-2 - sqrt(484)) + sqrt(484)*-2*-1)\/(sqrt(176) - sqrt(176)*2*3).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heeeeeee. What is prob of sequence eh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1788425.\nAnswer: 5, 71537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d. Let a(n) = -15799374*n**2 + 18821*n + 18821. Let h(w) = 1679*w**2 - 2*w - 2. Let s(t) = 2*a(t) + 18821*h(t). What is s(g(o))?\nAnswer: 15399*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114 + 5*j**2 - 13*j**2 - 5*j**2 + 12*j**2 + 38 to v*j**2 + s*j + m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - ((-1 + sqrt(539) + sqrt(539))*5)**2) + 2)*4.\nAnswer: -215692 + 2828*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.1 and -1185.3?\nAnswer: 1184.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34459\/3 - 33410\/3. Let m = k - 375. Let t = 2398 - 7268\/3. What is the common denominator of m and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**4 + 123845*k**2 - 22575156*k wrt k.\nAnswer: -48*k**2 + 247690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -850\/3, 3, -3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -239 or 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyovvovv. Give prob of picking 1 y and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -875*b*i**4 + 1422*b*i**3 + b*i**2 + 92*i**4 - 19595159*i**2 - 7*i - 1 wrt i.\nAnswer: -21000*b*i + 8532*b + 2208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 35*l + 69. What is y(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 11) in base 6?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 393619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2\/2 + 3*d + 1. Let k(u) = -873*u - 2621. Let r be k(-3). Calculate h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - r + 6*r + (r - r - 2*r)*(4 - 4 + 2))*(-4*r**2 - 4*r**2 + 4*r**2) to w*r**2 + v*r**3 + z + q*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -3761?\nAnswer: -3755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*l - 9. Let k = 0.54 - -0.06. Let q = 5.6 - k. Which is the nearest to -1? (a) q (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -674693949 divided by -587201\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 360271870 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -43*r. Let m(y) = -37*y. Let w(d) = 5*l(d) - 6*m(d). Let v(b) = 22*b. What is w(v(a))?\nAnswer: 154*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/5 + 4328*p\/5 + 226304.\nAnswer: 4*(p + 442)*(p + 640)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*f - 2, -4*f + 3*f = -2*z + 3. Let w be (-1 - -2) + z + 1. Suppose d - 19 = -4*i, -4*i - 5*d - 3 + 18 = 0. Solve -5*q = -w*q - i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 26 - 82. What is the tens digit of y\/21 - 454\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 + 73. Suppose -2*o + 23 = 3*i, -3*o - k = 2*i - 6*o. Suppose -i*b + 750 = -2*s, -s - 3*s + 20 = 0. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*h - 15638 = 125*h - 9938 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -0.3, 2, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(13) - sqrt(13))*-3 + -3 + (sqrt(13) - (sqrt(1300) + 0 + sqrt(1300))**2 - sqrt(52)*-1).\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-340)\/4*(-1 - (-20)\/16)*-4. Let f = -197 - 45. Let n be f\/(-14) - (-4)\/(-14). Calculate the highest common divisor of n and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 1288.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 18. Suppose 2*o = -33 - 7. Let x be h(o). Solve -x*l + 7 = 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/(11\/(-4)))\/(-1 + (2 - 3)). Which is the biggest value? (a) 1\/6 (b) n (c) 0.01 (d) 0 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/9*2\/4. Let b = 0.0078 + 0.0922. What is the nearest to r in b, -0.04, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2085 and 89\/1668.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-21)*(39\/2)\/(-13)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 13292*p**3 + 39870*p**2 + 39868*p + 13289.\nAnswer: (p + 1)**3*(p + 13289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/28108 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626934622.\nAnswer: 2, 113, 2774047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2205, 2209, 2213, 2217?\n\"Answer: 4*r + 2201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - -196. Let o = -16300.42949 + 16388.43. Let c = j - o. What is c rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*n = -3756 - 8368 - 7679 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672204.2 months in millennia?\nAnswer: 139.35035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1501786*r - 2494 = -1501844*r for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**3 - 15*j**3 - 3*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -35aa45 (base 12) to base 9\nAnswer: -1563868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4971 = 325*t - 539*t + 8297 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1172.3545396 to one dp.\nAnswer: -1172.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 362873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37390690 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1, 9, -0.3, 5, -105?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-150))\/(((-2)\/(-40))\/(142\/(-852))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80082, -79839, -79596, -79353, -79110, -78867?\n\"Answer: 243*t - 80325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 d when three letters picked without replacement from {u: 4, d: 5, k: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8260, 19518, 30776?\n\"Answer: 11258*l - 2998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-105))\/((-3)\/(-84)*18\/(-9)*6)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 7, -0.3, -5, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94038 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/392 and -85\/3164?\nAnswer: 44296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u - 2. Let r(s) = -297 + s - 6*s + 299. What is 4*h(n) + 5*r(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 48 (b) 14 (c) 1\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -26 + 6. Sort z, -3, 4, -2 in descending order.\nAnswer: 4, -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + -1)\/(0 - 2). Suppose -f*w + 4 = -2. Suppose 2*y = v - w - 3, 0 = -3*y + 4*v - 10. Put y, -3, 4 in descending order.\nAnswer: 4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 24. Let h(t) be the first derivative of -t**2\/2 - 12*t - 4. Let c(b) = -13*h(b) + 6*u(b). What are the prime factors of c(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3717 = 394*x - 385*x. Suppose 0 = -i + 4*q + x, -5*i + 2065 = -0*q + q. Calculate the remainder when i is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67255624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -505 by -5.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q\/(q**(-1)\/q))*(q*(q*q**(-5\/4))\/q)\/q)\/(q**(-4\/7)\/q**(3\/5)))**(3\/11) assuming q is positive.\nAnswer: q**(-1713\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 1 - 1)*(-166419*p + 1 + 85181*p + 85978*p).\nAnswer: -9480*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -73. Suppose n = 3*u - 2*u. Solve 7*g - u*g = 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 87\/2 of a day?\nAnswer: 62640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103.066 + 103. Let n = -3.306 - w. Round n to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -1727\/19. Let f = -11.1 - -11. Let h be (-1 - 2) + (2 - 2). Which is the nearest to f? (a) v (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 26. Let v = -716 - -719. Let -4*k + o - 29 - 4*k**2 - k - v*k = 0. Calculate k.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + (1 + sqrt(80) + sqrt(80))*5 - (sqrt(80) - ((0 + sqrt(80))*-5 - sqrt(80)))) + 0 + 0 + 3 + 1*sqrt(80) + -3)**2.\nAnswer: 200*sqrt(5) + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 - -747\/7. What is the nearest to 0.1 in u, -1, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, -0.2, 1715, -3, 0.0356 in descending order.\nAnswer: 1715, 7\/3, 0.0356, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (3 + sqrt(153) + sqrt(153)))**2 + -1.\nAnswer: 18*sqrt(17) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16397 - 16421. Let a(i) = -i**3 - 26*i**2 - 46*i + 52. Calculate a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9562965 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*o + 0*o**2 - 127*o + o**2 + 79*o.\nAnswer: o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23)*l*l**25*l)\/(l**(-1\/15)\/l**(-2\/5)) assuming l is positive.\nAnswer: l**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 24 = -5*s + 4, 5*s - 16 = 4*a. Let g be 0 + (a - 120\/(-35)). What is the nearest to 0.07 in -0.3, 3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1333, -2668, -4003, -5338, -6673, -8008?\nAnswer: -9343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 - 2211557*p**3 + 1630329595785*p**2 - 400620348123151975*p + 801234174945613250.\nAnswer: (p - 737185)**3*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -26*o**2 + 5619*o - 515. Give a(216).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 24*t - 65 = 0. Let o(f) = 15*f - 5. Let i(v) be the third derivative of -7*v**4\/24 + v**3\/3 + 4*v**2 + 8*v. What is t*i(d) + 2*o(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:02 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = 9. Suppose p + 1 = 2*p, -22 = -5*a + o*p. Find the third derivative of y**3 - a*y**2 + y**2 - 2*y**3 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b7a5 - a8c?\nAnswer: -c453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1052 (base 14) to base 15\nAnswer: c7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-39)*3 + (-618)\/(-39)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4087 is divided by 151?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -215, -305, -391, -473, -551, -625?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525772*x = 526178*x - 24766 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/3407633 and -47\/73335.\nAnswer: 51114495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*c**4 + c**4 - 2*c - 11*c**4 + 5 - 3 as h + o*c**4 + l*c**3 + i*c + r*c**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 53 + 3 + (1 - 3 + 3)*(2 - 2 + 2) - 6 + 6 + 1)*(5*b**2 - 5*b**2 + 2*b**4).\nAnswer: 158*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10015 in -3, 0, -0.3, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 89 - 17. Suppose 5*n = -2*w + 102, 2*n + 13 - 49 = -2*w. Suppose n*l - 112 = -6*l. Calculate the highest common factor of l and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6171 divided by -363.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096 a factor of 109054192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*d - 93*d - 33*d - 68*d)*(-1 - 2 + 2) to the form y*d + t and give y.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192279 and 199020?\nAnswer: 119212980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + (-2 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, m: 7, r: 9}. What is prob of sequence drrr?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 293079569 or 293079568?\nAnswer: 293079568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -47*i**2 - 6215*i - 7639. Determine w(-131).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2868 divided by -717.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18128831 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13525 + 1323. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1263*m + 3 + 969*m**2 + 6 - 2 - 970*m**2 as s + y*m**2 + c*m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423001?\nAnswer: 423001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (10204\/(-6))\/((140\/30)\/(-7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9009\/15 - 2\/(-5) - -2. Suppose -5*n = -p - 42. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 24*r**3 - 3*r**2 + 2*r. Let j(i) = -23*i**3 + 4*i**2 - 3*i. Let b(d) = -3*j(d) - 4*q(d). Does 10 divide b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1593672517 and 2638?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/3 - 83*d**4 - 5355*d**3 - 29853*d**2 - 43632*d = 0 for d.\nAnswer: -48, -3, 0, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133 or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34071 rounded to 2 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9.81*319889\nAnswer: -3138111.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/60 + 3*b**5\/10 - b**4\/24 - b**3 - 3*b**2 + 11*b. What is s(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:26 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 0 - (10 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(51)\/(sqrt(9)\/sqrt(3)) - (sqrt(17) - (-2 + sqrt(1700))))**2 + ((sqrt(51)\/sqrt(3) + -4 + 0)*-2)**2).\nAnswer: -216*sqrt(17) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6860*i**3 - 19 + 22 - 3.\nAnswer: -6860*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10908637*v - 34*v**3 - 10908637*v.\nAnswer: -34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -32*a + 30*a. Suppose 11 = 19*m - a. Let k = 11 - 6. Sort m, -6, -2, k in decreasing order.\nAnswer: k, m, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179 - -161. Which is the second smallest value? (a) i (b) 0.4 (c) -3\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(363)*2*3*4 + -5)*-1)**2.\nAnswer: -15840*sqrt(3) + 7527193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335 = 74*j - 7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1977\/2 or -989?\nAnswer: -1977\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 4. Let k(p) = -4*p**2 - p - 5. Let f(z) = -5*k(z) - 6*r(z). Is f(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*f + 44 = 0, -39 + 14 = -5*a + f. Suppose v - a = -4*x, -5*x + 3 = -2. Let l(t) = -8*t - 5*t - v*t. Let n(m) = -2*m. Calculate l(n(c)).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppfprrnrfnpfnnpfnnr. What is prob of picking 1 f and 1 n?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1665, -2050, -2435, -2820, -3205?\nAnswer: -3590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 9. Let q(n) = 10*n + 29. Let g(c) = 7*b(c) - 2*q(c). Determine g(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from glgglglllgltlllll?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -127 * 407.2\nAnswer: -51714.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6239 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*v = -209*v - 270. What is the remainder when v is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 24*b - 255. Let x(k) = -8*k**2 + 6*k - 2. Let r(g) = 23*g**2 - 17*g + 6. Calculate b*x(m) - 6*r(m).\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, p: 1, x: 3}. What is prob of picking 2 w and 2 x?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 2399*j**3 - j**2 + 183 - 2384*j**3 - 8*j + 10*j + 3*j**2.\nAnswer: 15*j**3 + 2*j**2 - 3*j + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 353 * 0.1.\nAnswer: 35.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 11040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/19 - 4572918*c\/19 + 4572916\/19.\nAnswer: 2*(c - 2286458)*(c - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 < 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282998 = 2*f + 305002. What is f rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 37092?\nAnswer: 37092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.08465624 rounded to 4 dps?\nAnswer: -6.0847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 10*r + 11. Let c be ((-6)\/(-2))\/((-1)\/(-3)). Let d be u(c). Is d less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 32?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2747 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 7389.843 and -1891.\nAnswer: 5498.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -767*u**2 - 7023*u**2 + 1793*u**2 to the form n*u**2 + h + m*u and give n.\nAnswer: -5997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let k(b) = b**2 + b. Determine 5*i(x) - k(x).\nAnswer: -x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/15 + (-29)\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 10*q = 5*d - 51, 36 = 4*d - 4*q. Let c be (4 - (-1)\/(-1))*-1. Put 2, 3, d, c in decreasing order.\nAnswer: d, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*s + 5*s - 2*o, -2*o = 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507503 + 1174688 + 141480 = 16456*h + 375543 for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 7. Suppose o + o + 4 = 0. What is the units digit of 3\/(0 + z)*o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 19. Let n be d(8). Put 0, n, 4 in decreasing order.\nAnswer: 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4427 divided by -1414?\nAnswer: -4427\/1414","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2\/3 + 72706*r\/3 + 6048376\/3 = 0.\nAnswer: -83, 36436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13039*d + 17927*d - 4873*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -5 (b) -7892 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17*o**3 + 21*o**2 + 18*o + 14. Let i(c) = -37*c**3 + 42*c**2 + 37*c + 30. Calculate -6*i(n) + 13*w(n).\nAnswer: n**3 + 21*n**2 + 12*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 + 3073 = 18*q. Suppose 130 + q = 4*o. Let h = o - 79. Solve 2*m + h*m + 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(-3)\/q)))\/q*q*q**(1\/2)*(q*q*q*q\/q**(-1\/4))**(2\/3)*(q**(-2\/9)*q)**17*q\/(q\/(q*(q\/q**(-7)*q)\/q)*q)*q**(-6\/11) assuming q is positive.\nAnswer: q**(1981\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6771, -13107, -19003, -24459, -29475, -34051, -38187?\nAnswer: -41883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by 11.\nAnswer: 108\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -478*n**3 + 496*n**3 + 286*n**3 + n**2 - 1806 wrt n?\nAnswer: 912*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120010220221212 (base 3) to base 2.\nAnswer: -11110101101000011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 131*q**3\/6 - 7*q**2 + 26*q. What is the tens digit of m(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-275)\/(-10))\/(-5))\/((-2)\/52). What is the greatest common factor of r and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 16*i + 4 - 19*i - 16 + i. Suppose 7*r - 4*r + 39 = 0. Calculate the remainder when 39 is divided by z(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2083*d - 131223. Give j(63).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, i: 1}. What is prob of sequence gig?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14672316 rounded to the nearest ten thousand?\nAnswer: 14670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/6 - 15*s**3\/2 - 5*s**2 - 2761*s + 3. What is z(-23)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Solve -u*x + 12 = 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 2714, 9312, 22192, 43448?\nAnswer: 75174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*8*(-3)\/(-48)*4. What is the third derivative of w*a**2 + 8*a**5 - 14*a**5 - 109*a**2 + 2*a**4 wrt a?\nAnswer: -360*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45179535 to the power of 1\/2, to the nearest integer?\nAnswer: 6722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 1. Let v(x) = -3. What is -v(n) - y(n)?\nAnswer: 2*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + -2*(sqrt(190)\/(sqrt(120)\/(sqrt(48)\/sqrt(4) + sqrt(12))))**2 + -3).\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 736 and 52.\nAnswer: 9568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 83.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u + 10. Is (-3 - u) + (-3 - -34) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*b**2 - 181*b.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15*14\/350 + (-249934)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9364 - -16651. What are the prime factors of f?\nAnswer: 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 20*k + 222. Is j(15) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/(-484)*8\/(-10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 873630 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 269352 divided by -4?\nAnswer: -67338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + 4 + (27 - 90) + 34?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16*-6*(-3)\/(-12). Suppose 3*c - 2*p = 11, 4 = 2*c + 3*p + 1. What is the highest common divisor of j and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 3*g + 2)*((-1 + 0 + 2)*(0 - 3 + 1) - 3 + 1 - 54 + 2 + 1 - 5).\nAnswer: 180*g + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwddwdwdddddddddwddd. What is prob of picking 4 d?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95587786 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 - 80*u - 2348. Let q be l(-22). Calculate the highest common factor of q and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**4*r**3 + 25948*l**4*r - 10*r**3 + 1531*r wrt l.\nAnswer: 8*l**3*r**3 + 103792*l**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111220 + 1100?\nAnswer: 112320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 8 + 3 + -3. Let k(r) = r**3 + 20*r**2 + 36*r - 3. Let c be k(-18). Sort c, -2, w in increasing order.\nAnswer: c, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 3*t**5\/5 + 9*t + 9. Differentiate f(h) with respect to h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**2 + 6*v + 54. Let n(a) = -6*a**2 - 4*a - 36. Determine -5*m(r) - 8*n(r).\nAnswer: -2*r**2 + 2*r + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a + a + 2*a)*(0*a - a - a) + 0*a**2 + 0*a**2 + 2*a**2 + 12830 + 411*a**2 - 12830)*(-5*a + 4*a - a).\nAnswer: -818*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 2)\/((-9)\/(-6)). Suppose 3*u - 132 = -8*u. Let l(a) = 13*a - 155. Let r be l(u). Sort 2, r, k.\nAnswer: k, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (20 - (-12 + 17)) + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, q: 7}. Give prob of sequence qgg.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2871666t?\nAnswer: 287166600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q + 12*q - 12 + 3.\nAnswer: -9*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11750 divided by -2350\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408 divided by 6.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 826 - 489. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2828238359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78557435 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 2194 + 1364 = 0. Is (-1 + -5 - a)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*a - 31 - 9. Sort a, -173, 2.\nAnswer: -173, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - p - 5*y - 5, -4*y - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 2. Calculate q(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0*z + 0*z - 2*z. Let p(m) = m**2 + 6*m + 6. Let w(f) = -f - 1. Let h(i) = -p(i) - 6*w(i). What is h(k(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 4678?\nAnswer: -4678.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/3 (b) -1 (c) 0.2 (d) -1177 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/18*((-3240)\/(-15))\/(-24)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1. Let o(k) = 2*k - 6. What is 5*o(q) - 30*r(q)?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143164.\nAnswer: 2, 7, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17599490 and 62200.\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtv when three letters picked without replacement from {t: 2, y: 5, v: 1, r: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**8\/6720 + z**7\/360 - z**6\/360 + 7*z**5\/120 + z**4\/12 + z**2. Let y(n) be the second derivative of h(n). Is y(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 1)*(5 - 5 + 3*r**2 - 2 + 2 + r**2 + (r**2 - 1 + 1)*(-2 + 0 + 4)) + 3*r - 3*r + r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6*s + 9. Find the third derivative of 0*o**s - 2*o**2 - 2*o**3 + 6*o**2 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 3*x + 12 = 0. Let b = -537 - -2222. Suppose b = x*g + 3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(63)*-2)\/sqrt(9).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -2*j + 44. Let x = 253\/6 + j. Let r = -9\/44 + 60\/11. What is the common denominator of r and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*-2*sqrt(1280))\/(-5*(sqrt(160) + sqrt(160) + 2*sqrt(160))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1041*c**2 + 1558*c.\nAnswer: 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9530868 is divided by 230.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 218837772 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*((2 + sqrt(704) + sqrt(704) - (sqrt(99) + 0)) + -2 + sqrt(539) + sqrt(121)\/(2*sqrt(11)))**2 + 2).\nAnswer: -166431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 1560*l**2 + 118500*l + 499280.\nAnswer: 5*(l - 158)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335179443 to the nearest integer?\nAnswer: 18308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 668614, 1337263, 2005912, 2674561?\nAnswer: 3343210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4919552660 rounded to the nearest 100000?\nAnswer: -4919600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -7*j**5\/60 - j**2. Let u(k) = -k**2. Calculate g(u(f)).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 9. Let j = -35 - -43. Suppose 2*i - 6 = -2*g + j, -5*i = -15. Let v be c(g). Solve -3*y - 3*k + 15 = 0, y + v*k = 6 + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/32*(0 + 2). Which is smaller: -12\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a*j**2*m + 6*a*j**2 + 108*a*j*m + 1196*j**2*m - 109*j*m wrt j?\nAnswer: 8*a*m + 12*a + 2392*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(17*p - 51*p + 92*p) + (-7*p + 6*p + 5*p)*(2 - 6 + 2).\nAnswer: 50*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012052087 to six dps.\nAnswer: -0.001205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 3*f + 2*g + 71, 2 = 3*f - g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171\/17 - 291\/34. What is the closest to 5 in -2\/25, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 29 (b) 4 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -2\/35, -12?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 681 - 469. Let j = x + -1064\/5. Let y(f) = f**3 + 4*f**2 + 4*f + 4. Let n be y(-3). What is the nearest to 1\/2 in j, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -41. What is the highest common divisor of a and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/9 - 964*y**2\/9 - 6634*y\/9 + 7600\/9 = 0.\nAnswer: -475, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-10))\/((231\/(-98))\/(570\/(-266)))?\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541 - 5*q + 558 + 4*q + 2462 + 0*q + 14*q**2.\nAnswer: 14*q**2 - q + 3561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6550043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 30*s**2 + 122*s + 9. Calculate z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/11 (b) -0.9 (c) 367 (d) -1\/9 (e) 3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000641753 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363500?\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l. Suppose 23*s = 27*s - 36. Solve l = 3*c - 6 - s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 8. Let w = -29 - -49. Let a be 5\/2*s\/w. Is a > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -34*j**2 - 281*j + 838. What is h(3)?\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 2:00 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-10)\/(-100) - (-21)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-42) + (-69)\/21\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -10*s + 6*s + 354, 0 = 5*s - 3*k - 438. What is the remainder when 676 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 67113570*u**3 - 300281883868680*u**2 + 447842703759234876670*u + 4030608656714633078445.\nAnswer: -5*(u - 4474241)**3*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 10*m**2 - 9*m + 9. Calculate a(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (27 - 1 - (37 + -22))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14 - (-7)\/(294\/(-222))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/374019 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Suppose -b + 7 = -k. Let v(p) = 125 + 5*p**2 - 65 + p**3 - 7*p - 66. What is v(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 32\/291?\nAnswer: 32\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(153)*1)\/(-5*((sqrt(9) - sqrt(27)\/sqrt(3) - sqrt(9)) + sqrt(9)) - sqrt(9)) - (-1 + sqrt(17)*-1 + 4 + -2)) + -1)**2.\nAnswer: -8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -3 (b) 7.53 (c) -5\/2 (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -20 - ((-520 - -508) + (6 - -1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/10 + (-7 - (-22736)\/20). Let v be -2 + 6\/(-57) + t\/(-95). Which is the second biggest value? (a) -0.1 (b) v (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2334, 4654, 6958, 9246, 11518, 13774?\n\"Answer: -8*a**2 + 2344*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*n = -2*n + 65, 0 = 5*n - 10. Let b = k - 9. What is the lowest common multiple of b and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 202 - -15c633?\nAnswer: 15c835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -9\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/4)\/h)\/h**7*(h*h**0)**(4\/7) assuming h is positive.\nAnswer: h**(-243\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 + 0.1. Let h = y + -1.8. Which is the biggest value? (a) 1\/4 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of -2*(-15)\/(-20)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/20 + r**3\/5 - 2*r**2\/5 + 788. Factor q(u).\nAnswer: u*(u - 1)*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 105 = -4*p, -s - 72 = -3*p - 4*s. Is 65\/3 - (-9)\/p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -d - 3*d. Suppose 5*z + 1 = n - 11, -5*n - d = 4*z. Let m(l) be the third derivative of -l**4\/24 + l**3\/3 - 2*l**2. Give m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 4:16 PM?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/18)\/(55\/(-15) + 3). Suppose 2*w + y + 16 = -2*w, 20 = -4*w - 2*y. Put 0, g, w in decreasing order.\nAnswer: g, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n - 4*n**2 - 2*n + 0 + 0 + n**2 + (n + n - n)*(0 - 2*n + 0) - n**2 + 2*n**2 - 2*n**2 - 2*n**2 + n**2 + 0*n**2.\nAnswer: -7*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-3)\/((-4 - -2)\/130). Let z = 211 + j. What is the greatest common divisor of 54 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Let h(z) = -739*z - 4832. Let w be h(-8). Suppose -s + w = b*s. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + -19 + 47 + -7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*-1*sqrt(52) + sqrt(52) + (sqrt(52) + sqrt(52) + 1 + -1)**2.\nAnswer: -2*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + (-5)\/(-24). Let w(p) = -p**2 + 12*p - 6. Let t be w(11). Suppose v = t*v. What is the nearest to v in l, 0.2, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -92786, -372710, -839250, -1492406, -2332178?\n\"Answer: -93308*h**2 + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5480 - -5450.73. Let a = 0.73 - t. Let d = -29.999953 + a. What is d rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - (-44)\/(-204). Let p = -2372 + 2373.029. Let l = p + -0.029. Which is the nearest to -0.1? (a) -1\/2 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -256 - -1023\/4. Let l = 0 + -0.1. What is the third smallest value in l, o, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 - (4 - (-1 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = z - 2*z - 4*j, -3*z + 2*j = -11. Let o(y) = -y**3 + 5*y**2 - y + 1. Let b be o(z). Put b, -7, -3 in increasing order.\nAnswer: -7, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymdydddfd. What is prob of picking 2 d and 1 m?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -26 (b) 5 (c) -0.3 (d) 0.0089 (e) -53 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 + -230243431?\nAnswer: -230244121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 23*x**2 + 9*x - 4. Determine h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/10))**(1\/31) assuming w is positive.\nAnswer: w**(3\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 50 = -16. Let w(f) be the first derivative of -2 + 0*f + 3\/2*f**4 - y*f**2 + 0*f**3. What is the second derivative of w(j) wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*r - 152. Let q be ((-171)\/r)\/((-3)\/32). Let h = q - 18. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2048 - 30?\nAnswer: -2078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.019428 decades in centuries?\nAnswer: 0.7019428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 3*j + 14 + 11, -2*w + 2*j + 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 135*h**3 + 27*h**2 + 41*h + 20. Let z be q(-20). What is z rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134775 and 2025?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -4.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 1\/2, -2\/41, 0.3, 2.\nAnswer: -2\/41, 0.3, 1\/2, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3335000 to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -22*r + 17. What is n(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2. Let g(m) be the second derivative of -7*m**6\/360 + 5*m**3\/3 + 9*m. Let r(z) be the second derivative of g(z). Calculate r(q(w)).\nAnswer: -112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 26. Let c(x) = 7*x + 12. Let q be c(m). Let i = q - -95. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**3 + 0*l**2)*(28 + 21 + 3) + 0*l**3 - 3*l**3 + 0*l**3 - l**2.\nAnswer: -107*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25392\/31 != 819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005004697 to six decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 72\/(-15))\/(6\/20)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -6, -13?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1437397, 1437428, 1437459?\nAnswer: 1437490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1115 - 5576\/5. Suppose 8 = -4*t - 3*d - 0*d, 0 = -5*t - 5*d - 10. Sort -2\/11, u, t in ascending order.\nAnswer: t, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/3 - 115358*g\/3 + 461480 = 0.\nAnswer: -115370, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 + 3.8. Let j = l + -4.1. Let v = 2.800017 + j. What is v rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-18)\/10)*(-54)\/(-120)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 - 2*u + 84. Let x be d(0). Let n = x - -8. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 5*j - 25, -2*j - 971 = -4*r + 3*r - 964 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 764 + 746 = -2*o, 5*g = 2*o - 21. Solve o*t = 17*t - 63 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4814 and 332.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/12)\/(((-315)\/81)\/(-7)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/(-28))\/(3*3\/36))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 12*o - 21 = 78, -5*z + 5*o = 55 - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**4 + 1872*g*j + 23*j - 42 wrt g?\nAnswer: 4*g**3 + 1872*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + 14 - 3*y + 14 in the form c*y + m and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2035325 + -255?\nAnswer: -2040024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*y**4 + 937*y**3 - 26*y**2 - 112495*y?\nAnswer: -192*y**2 + 5622*y - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 8. Suppose 4*u - 4 = -32. Let s be g(u). Is (-52)\/(-3)*(-9)\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n**2 + 207592191*n + 103796097 = 0 for n.\nAnswer: -1\/2, 34598699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 5) to base 6\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 3\/7, -3, 1\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31455 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -688981, -689552, -690125, -690700, -691277?\n\"Answer: -m**2 - 568*m - 688412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*b + 11, -7*i = -5*i - 3*b + 1. Suppose -8*u = l - 12*u - 90, i*l = -2*u + 342. Calculate the remainder when 428 is divided by l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 31*d**2 - 80*d - 18. Let c be h(29). Let n = c - -659. What is the highest common factor of 93 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*p - 6, 0 = 2*x + 2*p - 6 + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 - 18*l**2*r**2 - l**2*r - 2*l*r**2 + 2*l*r - 11*r**2 wrt l?\nAnswer: 24*l**2 - 36*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25327344 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78550574*i**3 + 143391404 wrt i?\nAnswer: -235651722*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 14*f - 5. Let p be t(6). Let q = 83 - p. Let i = 9 + 5. Calculate the remainder when q is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 2*i**2 + 2*i + 5. Let u be b(0). What is the tens digit of -10*(-40)\/12*12\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -15. Suppose 0*s = 5*s. Let j = o - s. Which is bigger: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/60 + j**2. Let p(z) be the third derivative of 0 + 0*z - 1\/3*z**4 + 56*z**2 + 0*z**3. Give p(k(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 25. Let x = 677 - 677. Calculate t(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*y - 20 = 2*y, -3*c - 3 = 3*y. Let k be c\/(-4) + (-18)\/(-12). Solve 5*h + 3 = -k*b, -2*b = h - 4*h + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose -2*k - 3*u + 0*u + 18 = 0, 0 = 3*k - 4*u - 61. Suppose 3*r = k, 5*v + 5*r = s + 23. Solve v = -2*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 + 109.31. Let v = -1.7228 - w. What is v rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.08 + 36.53. Let r = -24 + o. Round r to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(6) - sqrt(486)) + (sqrt(95) - (sqrt(95) - (-2*sqrt(95) + sqrt(95))))\/sqrt(5) - (sqrt(304) + -1 - (-4 + sqrt(19) + 2)).\nAnswer: -33*sqrt(19)\/8 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11554899617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207295\/1817 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9568879 nanoseconds in milliseconds?\nAnswer: 0.0000009568879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 24 = 5*j. Let b be 16\/j + (-2)\/6. Suppose 5*s - b*o - 35 = 2*s, -3*s = 5*o + 5. Solve -s*a = -f - 14, -2*f = 2*a - 5*a + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 22*f + 41. Give j(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 d when four letters picked without replacement from {d: 1, h: 1, k: 3, r: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1559 not equal to -7792\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(147) - (sqrt(147) + 4)*1)*6 - (5 + 1*sqrt(147) - (2 + sqrt(147) + 5)**2)).\nAnswer: -167 - 91*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.986 + -1.786. Which is the second smallest value? (a) 0.3 (b) -4 (c) 0 (d) i (e) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522.9956 millilitres to litres.\nAnswer: 0.5229956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*((-3*p - 5 + 5)*(4 - 2 + 0) + 5*p + 1 - p - 2*p).\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -965\/531 - -22\/59. What is the common denominator of l and -23\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -10. Suppose 0 = -8*i + c*i - 296. What is the remainder when i is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*30*3\/36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1224 and 40239.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*i - 2*i + 57, 93 = 3*i + p. Let a = 33 - i. Factor 93*d**3 - 6 - 45*d**3 + 9*d - 51*d**a.\nAnswer: -3*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 22*o - 37. List the prime factors of i(10).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1613*z + 9. Let i be j(-4). Suppose g - 8*g + i = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12*w - 125. Let q be x(-25). Let o be 4\/14 - ((-1140)\/q - -6). What is the second smallest value in o, -20, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-402)\/(-4221) + 16\/12.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from umjuuiglulmjjg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:15 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t - 88. Let v be b(-15). Solve 19 = -l + v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -1)\/(-2) - 853913. Let z = v - -194745. Let b = 340830 - z. Round b to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 bigger than -3705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.31193 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115296750217 less than -5?\nAnswer: -115296750222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19887332\/7 greater than -2841048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 - 5*u - 4. Let x be 3\/((-18)\/(-8))*3. Let t be j(x). Let r be (-14)\/(-6)*(-16)\/t. Which is the nearest to 1? (a) -2 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 329628 (base 12) to base 10\nAnswer: 804416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 35*j**2 + 15*j + 14. Let i be f(-17). What is the highest common divisor of i and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250462 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 = -206 + 213. Let z = -5 + b. Suppose 0 = -3*r + 6*r. Solve r + 4 = z*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 11:07 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/9*((-15)\/1375*-30)\/3.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*h - 607*h + 353 + 499 = 0. Solve -18*l = -3*x - 16*l - 10, -h*x - 25 = -5*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 6:13 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 624, 665, 744, 867, 1040?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93447 - 2803147\/30. Let t = r + -79\/90. What is the common denominator of t and (-8)\/(-36) - 6695\/(-35685)?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10219211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8484 divided by 28\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**3 + 4584*a**2 - 21274*a + 11112.\nAnswer: 2*(a - 4)*(a + 463)*(5*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1 - 57\/897. Let u = s - 18\/23. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*5\/(-225)*-1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4320) + sqrt(4320) + (sqrt(4320) - sqrt(4320)*1) + sqrt(4320))*-3 - sqrt(4320))*-6)\/((sqrt(60)\/sqrt(2)*1)\/((sqrt(60)\/sqrt(2))\/sqrt(10))).\nAnswer: 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*h + 6*h**2 + 35*h - h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*i*v**3 - 12*i*v - 15397*v**3 + 110453*v wrt v.\nAnswer: -156*i*v - 92382*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7111830 and 18?\nAnswer: 21335490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 6*c + 17. What is the remainder when g(-9) is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -56\/9?\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 220*h**3 + 0 - 203*h**3 + 0 - 6*h wrt h?\nAnswer: 102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-5) + 10\/(-50). Suppose -3*a - 6 = 2*q, b*a + 5*q + 10 = -5. Let s be (9\/78)\/(33\/44). What is the nearest to a in -1\/7, s, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 3 - 3 + 2 - 2 - j + (0 - 2*j + 0)*(0 - 2 + 0).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 2, i: 1, e: 5}. Give prob of sequence im.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:25 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8924079 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19447, 38906, 58379, 77866, 97367?\n\"Answer: 7*a**2 + 19438*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/850256 and 91\/2524?\nAnswer: 536511536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -16 + 2 + (14 - 0) + (752 - 775).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-o - o - 2*o)*(23 - 3*o - 23).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/560 and -33\/3220.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 9*b**2 + 10*b - 2. What is the tens digit of p(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -13, -23, -31, -37, -41?\n\"Answer: l**2 - 15*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75085*z + 7 = 75080*z - i, 5*z + 4*i + 43 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 7 - 7 - 33) + 5.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40127\/9264 + 11\/579. Calculate the common denominator of x and -47\/116.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 1 + 7)\/(9\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 766860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/3 - -3)\/(24 - 23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9260084, -18520198, -27780312?\n\"Answer: -9260114*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6273 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 c(y) = y**3 - y**2 + y + 19. Let n be (4\/(-9))\/((-9)\/(-108)*16\/(-6)). Let h = -4 + 6. Suppose -h*z - n - 10 = -3*v, -3*z = -4*v + 16. Give c(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((147\/28)\/7)\/((-15)\/112*110\/220).\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -72 - 69. Suppose i*k = 71*k - 4008. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5649497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3735 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/25)\/(1\/(-30)). Suppose 5*u - 2*j = -0*j + f, -2*j = -4*u + 16. Suppose t + 4 = q - 2, -10 = u*t. Solve 2*y + 7 = q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*a + 2*t, 3*a = -a + 3*t + 68. Solve 5*d = a*d + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 18*v**2 - 40*v + 2. Let m = 31 + -51. Let r be h(m). Put -3, -15, 0, r in descending order.\nAnswer: r, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-4))\/(1\/2))\/((-31141)\/(-3363228)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -79, -169, -295, -457?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 577778*m**2 - 5*m - 2. Let s be n(-3). Suppose 4*y + 3*d + s = 0, -2*y = -0*d - d + 2599995. What is y rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7893300 to the nearest ten thousand.\nAnswer: -7890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**3 + c**2 - c. Let b be z(2). What is the greatest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.805947nm to micrometers.\nAnswer: 0.002805947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, 4, 3, -2.\nAnswer: -2, -0.3, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2984*s**2 - 4*s. Let v(x) = -x**2 + 2*x. Calculate -a(o) - 2*v(o).\nAnswer: 2986*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 208*s**2 - 629 - 175*s**2 - 889 - 202*s**2 - 218*s**2 wrt s.\nAnswer: -774*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5 (c) 3 (d) -1204\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s + 9. Let l(r) = 1. Let g(t) = -t**3 + 6*t**2 + t - 4. Let n be g(6). Let c = -10172 - -10154. What is c*l(x) + n*f(x)?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*l - l = 0, 0 = 2*g - 5*l. Is g less than -8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**3 - 1987*u**2 + u - 154505.\nAnswer: -3*u**2 - 3974*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 - 1757*c - 81373 wrt c?\nAnswer: 6*c**2 - 1757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -56.2, 1426.\nAnswer: -56.2, 1, 1426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 64*f + 25. Let r(y) = 32*y + 12. Determine 3*d(l) - 5*r(l).\nAnswer: 32*l + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 229*k**2 - 42*k**2 - 483 - 342.\nAnswer: -271*k**2 + 3*k - 825","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-30)\/(-3))\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 91408238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = 5*h, 3*b - 4 - 11 = 4*h. Solve -2 + 7 = -b*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/187?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 + 7*p - 4. Let q(u) = -u**3 + u - 1. Let d = -66 + 24. Let m = d + 41. Give m*r(l) + 4*q(l).\nAnswer: 2*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 58497.83 hours?\nAnswer: 210592188000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, -61, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 2\/3 (c) 7 (d) 3 (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9291176 divided by 7.\nAnswer: -9291176\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80009922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-6 - 1)) + (3 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:02 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/17 + 57\/34. Let n = 34 + -30.1. Let a = 3.7 - n. What is the closest to 0 in a, u, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29260 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18530 plus -0.2?\nAnswer: 18529.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 11*w**2 + 26*w + 16.\nAnswer: (w + 1)*(w + 2)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = -7. Let d(r) be the second derivative of -2*r**3\/3 - 7*r**2\/2 - 6*r. Let l be d(j). Solve -3 = 2*y + l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u**2 + 2032*u - 32258 = 0 for u.\nAnswer: 127\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -28. Let w = -7 + 7.3. Put 5, q, w in ascending order.\nAnswer: q, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*b**2 - 2*b**3 + 11*b**2 - 17*b**2 + (0*b + b - 2*b)*(4*b**2 + b**2 - b**2).\nAnswer: -6*b**3 - 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2439b (base 15) in base 14?\nAnswer: -30191","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 52 + 14. Solve -m + n*m - 15 = -4*u, 15 = -u + 5*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.071 + 3.693\nAnswer: 3.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4387 + -2900. Let j = -509 - g. Let y = j + 4389. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 9 (c) -0.045 (d) 0 (e) 2\/11 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8255262 rounded to the nearest 10000?\nAnswer: 8260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*v - 40 = 0, -2960*j + 2957*j = -7*v + 72 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 178*h**2 - h + 6. Let a(q) = -q**2 - q + 1. Let i(l) = -6*a(l) + b(l). Let c be i(-2). Suppose 2*v - c = -124. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*d - 5*s - 20 = 0, 0 = d + 3*s + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1100) + (sqrt(1100)*1)**2 + -4) + -1 + 1 + sqrt(1584)*-1.\nAnswer: -6576 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 45 = 3. Let k be ((-18)\/24)\/((-27)\/z). Which is the nearest to 0.1? (a) -0.1 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14287\/17 at least as big as 839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 58.9. Put 2, 1\/4, o in increasing order.\nAnswer: o, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 504793 (b) -0.2 (c) -0.3 (d) 0.4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 35. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, 0.1114, 54, 0.2, -0.5, 1\/7, -0.4?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 20 + 5. Let a(r) = 0*r + 3*r + 5*r**2 + 3*r**2 - 5 + 12*r**2. Let o be a(l). What is o rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -277 and 177282.4.\nAnswer: -49107224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*5*((-1 + sqrt(700))*2 + (sqrt(700) - (sqrt(700) + -1*sqrt(700) + sqrt(700)))*-5 + sqrt(700))*-1*5)**2.\nAnswer: -1200000*sqrt(7) + 63040003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 28. Let z be x(9). Suppose 3*n + 15 = -0*y - y, 12 = -3*y + 2*n. What is the smallest value in z, y, 2\/7, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.16 (b) -0.3 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -53*a**2\/2 + 15. Suppose 0 = -3*g - 2*w + 8, 4*g = 5*w - 0*w + 3. Let n(h) = 7*h**g - 5*h**2 - 4*h**2. Calculate u(n(b)).\nAnswer: 106*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8422419 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1070*g + 8681 + 4420 + 809 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 13, 47, 99?\n\"Answer: 9*r**2 - 11*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229765125*h*p - 22425*h - 2 wrt p?\nAnswer: -229765125*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -1, -2\/125?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 - 460 = -5*g. Let c be (12*(-16)\/(-6))\/2. Calculate the greatest common divisor of g and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-30)*(-10)\/3*((-299106)\/232)\/191?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*i = -3*i + 385 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302113130 + 1212?\nAnswer: -302111312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/128)\/((-245)\/140).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(7 + -17). Solve -30 = 5*z + o, 2*z - u*z - 35 = 4*o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346520314*g**2 - 8*g**3 + 346520314*g**2.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68729377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) - 24\/(-9). Let v(m) = 0*m + 4*m - 2*m**2 + m**z - 6*m - 2. What is the units digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 9*t + 54 = 0. Put t, -0.1, -3, -2\/9 in descending order.\nAnswer: t, -0.1, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.23 rounded to one decimal place?\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 515702 or 515694?\nAnswer: 515702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000110001 (base 2) in base 3?\nAnswer: -2212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 42*c**2 - 12*c - 77. Let y(z) = -4*z**2. What is x(y(u))?\nAnswer: 672*u**4 + 48*u**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12606061 - -50?\nAnswer: 12606141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.063, 0.06, -0.7, 2\/15 in descending order.\nAnswer: 2\/15, 0.06, -0.063, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = b + 2*y - 9, -5*b - y = -45. Let r be b\/12 + 3\/(-4). Put 2, r, -2 in descending order.\nAnswer: 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*t**5 - 3949*t**4 + 2*t**3 + 2*t**2 - 46037*t wrt t?\nAnswer: -1800*t**2 - 94776*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 4:45 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/9 and 67\/2194.\nAnswer: 19746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25324925*z - 6789761*z + 3579843*z - 38558824*z.\nAnswer: -67093667*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 2 - 9*k**2 + 11\/56*k**4 + 0*k - 13\/140*k**5 - 1\/7*k**3 + 1\/70*k**6. Suppose w(g) = 0. Calculate g.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7289914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -222122 (base 3) in base 14?\nAnswer: -395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*k + 109, -2*k = -4*k - 3*o + 48. Suppose 0 = -12*s + 5*s + k. Let f be -3 + 3*(-74)\/(-42). Do s and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 56*l - 3506. Calculate the remainder when q(66) is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -8ce1?\nAnswer: -8ce0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -39892887510 + 3?\nAnswer: -39892887507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o - 3*o + 5*o + 2. Let c(y) = -1. Let r(h) = 3*c(h) + u(h). Find the first derivative of r(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3002*b - 3072*b + 5342*b + 3596*b.\nAnswer: 8868*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 804289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2) + (13 - 3)\/(-10). Let q be w - (-4 - -6 - 12). Do q and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3765*s + 1863*s + 1882*s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*2\/((-8)\/10). Let p be 3\/(-1 + -2) - -7. Suppose k*o + p*u = 4*u + 202, 4*u - 110 = -3*o. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2. Let f(r) be the first derivative of 41*r**2 - 42. Give f(m(n)).\nAnswer: 82*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2854, -2853, -2852, -2851, -2850?\n\"Answer: g - 2855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 2247 = -567. Suppose 8*p = p + m. Calculate the highest common divisor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436475889 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7\/2, 1, 1\/3, 104 in increasing order.\nAnswer: 1\/3, 1, 7\/2, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -373, -1465, -3293, -5863, -9181, -13253?\nAnswer: -18085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 7*c - 641 - 570 + 1151.\nAnswer: -c - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -19*q - 5. Let f be t(1). Let z be 1\/((6\/f)\/(1\/(-1))). Solve -n = -z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102449 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 24 - 24)*(0 + 0 - p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-86)\/(-7) + 8\/(-28). Let j be (u\/(-5))\/(12\/(-210)). Calculate the remainder when (-1)\/3*(-6 - j) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 5. Let i = c + 4.1. Which is greater: 0.3 or i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25410 and 29610?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.175 - 2.075. Let y = h - 15.5. Round y to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18737808 divided by -136.\nAnswer: -137778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1876 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30615 and 4629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886.8866 millennia to months.\nAnswer: 10642639.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553495*z + 183*z**2 - 553495*z.\nAnswer: 183*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/918*(-156)\/(-13)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 885381 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(110)\/(sqrt(4)\/sqrt(2)))\/(sqrt(11) + 2*-1*sqrt(11)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 317\/6. Let r(c) be the second derivative of 2*c + x*c**4 + 0*c**5 + 0*c**2 + 0 - 1\/15*c**6 + 0*c**3. Find u, given that r(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 1. Let m(q) = 9*q**2 + 77*q - 1. Let l be m(-9). Let k(w) = -8*w**3 - 5*w**2 - 3*w + 16. Let v(o) = l*z(o) + 5*k(o). Factor v(u).\nAnswer: -5*(u - 1)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -69, -113, -175, -255, -353, -469?\n\"Answer: -9*m**2 + m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 2*m**2 - m**2)*(2 + 4 - 7)*(11273*m + 1190*m**2 - 11273*m)*((-4*m + 2*m + 4*m)*(-2 + 3 - 2) - m - 3 + 3).\nAnswer: -10710*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2063 and 5628?\nAnswer: 11610564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 275439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-328127.\nAnswer: 1640635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:30 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 0. Let m = 3\/4 - 1\/4. What is the closest to -0.1 in 2, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.8 and 0.8.\nAnswer: 4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13716 divided by -127.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -50. Suppose x + z*t - 10 = t, 2*t + 4 = 0. Suppose -4*u - 3*g + 299 = -x*g, -142 = -2*u + 4*g. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 3*u = 5*p - 13 - 12, 0 = -2*p - 4*u - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + 5*sqrt(15)\/sqrt(3) + -1)**2*1.\nAnswer: 80*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 12 + 13 = -2*y, 0 = -y + 3*v - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/9)\/(15*(-330)\/(-2700))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900923703 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1272 + 1273. Let y(l) = -2*l. Let b be y(-1). Put b, t, -60 in descending order.\nAnswer: b, t, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4532\/87 and 53 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqz when three letters picked without replacement from qrqqzzzzqzrrzqzrzqqr?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7 - 18\/7*v**2 - 44\/7*v.\nAnswer: -2*(v + 2)*(9*v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + 32*l - 2*z + 8 = 0, 5*z = l - 2. Factor -8\/5 - 2\/5*n**l + 8\/5*n.\nAnswer: -2*(n - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -125. What is the remainder when 126 is divided by h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 882 = 3*g + 3*l - 450 - 443, -2*g - 7 = -l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17657 is divided by 94?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -13. Let t = 33 - g. Does 15 divide t - ((-12)\/(-3) + -69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 1)*7\/(-7). Suppose -4*s = -f*v + 4110000, -3*v + s + 1370000 = -2*v. Round v to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70365510 greater than or equal to -70365509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from xpxxxpxx?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*r - 6, 2*u + 10 = 2*r + 4. Suppose n + u*b + b = -314, 4*n + 1256 = b. Is (6\/(-12))\/(1\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 169 - 812?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1190 + 1195. Which is the biggest value? (a) 0.008 (b) y (c) -4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 10*b. Let d be x(-5). Solve 5*h - 25 = d, -6*z - 5 = -z - 2*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33658, -67311, -100960, -134605, -168246, -201883?\nAnswer: -235516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -187? (a) 5 (b) -5 (c) -5\/3 (d) -2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let f(r) be the second derivative of r**5\/20 - r**4\/12 + 5*r**2 - 5*r. Let s be f(0). Let k(d) = 9*d**2 - s*d**2 + 5*d**2. Calculate y(k(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15519518*l*z**2 - 1878*l*z - 2*l - 2163*z wrt z.\nAnswer: 31039036*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 14. Solve 3*t - p = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwm when three letters picked without replacement from cwqwwmwwqwwwm.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*t = -6, 2*l + 3967*t = 3968*t - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115297726 > 115297732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7*o + 986 = 0. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 162090?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = 3*v + 36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 4. Let n be w(-6). Let u be 4\/14 - (-271)\/7. Suppose -n*i - o = -10, 5*i - 8 - u = 3*o. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w + 2*w + w + 7*w - 19*w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c. Let l(i) = 12246*i. Determine l(t(u)).\nAnswer: -61230*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*2*-3)\/(sqrt(4) + 5*1*sqrt(4) + sqrt(12)\/(sqrt(9)\/sqrt(3))).\nAnswer: -12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 8:01 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-15 - -22)) + (-15 - (-15 - -3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -8.09\nAnswer: 1.6989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o + 23. Let w be z(-1). Suppose w*g = 16*g + 9. Suppose -4*r + 0*u + 119 = -3*u, 4*u - 12 = 0. Calculate the remainder when r is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - 98. Let w(y) = 3*y - 2. Determine w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, -41, -85, -127, -167, -205, -241?\n\"Answer: l**2 - 49*l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-9)\/(-15)) + 3. Let t be 11\/14 - m\/(-4). Let w = -9 - -4. Which is the second smallest value? (a) w (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5365 + -2430. Suppose -c + r = 4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42\/18)\/(1\/3). Let b be 6\/(6\/u) - -3. Suppose 2*f - 2*o - b + 4 = 0, 0 = -5*f + 3*o + 19. Solve f*c - 3*t = -14, t = 2*c - c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + 164?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 6 = 0. Suppose 3 = x - n, 0*x - 4*x - y*n - 2 = 0. Let c be 0\/((-3 - x)\/4). Which is bigger: -2\/15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - b - 1. Let n(k) = 2*k**3 + 2*k**2 - 1. Let f be n(1). Let t(j) = j**3 - 3*j**2 - j - 3. Suppose 0 = 2*y + 2 - 0. Determine f*i(h) + y*t(h).\nAnswer: -h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:25 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and (20\/25)\/(10\/75)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 4*x**2 - 25*x**2.\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -267, -519, -799, -1107, -1443, -1807?\n\"Answer: -14*i**2 - 182*i + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9))\/(-4)*18\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = d + 3, 0 = -0*d + 3*d - 3*z - 3. Let o = -42 - -61. Suppose -9*l + 163 = o. Calculate the remainder when l is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-12*z + 12*z - 14*z**4).\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**4)\/((c\/(c*c\/((c*(c*c**4\/c*c)\/c)\/c)))\/c)*(c*c**1)**(-3\/34) assuming c is positive.\nAnswer: c**(48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.98033.\nAnswer: 2.94099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3580?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 77\/22*4\/14. Let h(y) = 19*y - 2. Let l be h(f). Suppose 3*d - 255 = -2*d. Calculate the greatest common divisor of d and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:32 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**2 - n. Suppose p + 13 + 5 = 5*a, 4*a = -3*p + 22. Let l = -1 + 4. Suppose -z = 5*x + 14, -l*z - 2*x - 5 = -p*z. What is s(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1411 (b) 3\/2 (c) -8.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 11*q + 9. Let t be w(-12). Let c be (-1 + 2)*12\/t. Let s(p) = -p**2 - 3*p + 2. Let h be s(c). Sort h, 1, 3 in decreasing order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i. Let g(b) be the third derivative of -5*b**4\/24 - 7*b**2 + 1. What is g(f(h))?\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3561*g**3*q**2 - 41*g**3*q + 2*g**3 - q**2 + 27 wrt q.\nAnswer: 7122*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 56*a**3 - 19670*a**2 - 39538*a - 19842. Let s(j) = 13*j**3 - 4539*j**2 - 9124*j - 4579. Let t(o) = -14*f(o) + 60*s(o). Factor t(c).\nAnswer: -4*(c - 762)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 72. Let t be k\/(4\/6 + 0). Calculate the greatest common factor of t and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 240412*h - 4328712.\nAnswer: 4*(h - 18)*(h + 60121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 3205 - 3209. Let u(t) = -t - 35. Give u(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 3*o**6\/40 - o**5\/60 + 23*o**4\/6 - 134*o**2. What is the second derivative of w(b) wrt b?\nAnswer: 54*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 35 = 20, 5*j - 40 = 5*p. Suppose v - 5*x - 76 = 0, j*v - x = 4*v + 92. Calculate the highest common factor of 40 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6 - 1218\/(-504).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:31 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 2*p + 1. Let j be k(-2). Let m = j + -4. Calculate the greatest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 18. Let t = 6.8 + p. Let y = 1.3 - 0.8. Put y, t, -3\/4 in decreasing order.\nAnswer: y, t, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 8) to base 2\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/22 and 16324\/(-7920) - 4\/(-3).\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405\/38663 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 41. Let j be g(12). Solve -j*p + 8 = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 80, -46, -312, -736, -1336, -2130, -3136?\n\"Answer: -3*x**3 - 52*x**2 + 51*x + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -166346 (c) -1\/9 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 35*t + 239. Determine j(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -10. Let o(k) = k - 6. Let t be o(6). Suppose t*w + 2*n = -2*w + 30, -n = a. What is the remainder when 49 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133330322022 (base 4) in base 7?\nAnswer: -131123445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -122*x - 11. Let k(m) = 61*m + 5. Give 13*k(q) + 6*r(q).\nAnswer: 61*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12237 + -10476. Calculate the remainder when c is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 220*t - 685*t + 298*t as x + m*t and give m.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5315 and -0.01?\nAnswer: -53.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1088) + (3 + sqrt(1088) - sqrt(1088)) + 0 - sqrt(1088)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040385 (base 9) in base 10?\nAnswer: -558005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2179.5 - 2180. What is the fourth biggest value in -3, x, -3\/5, 3, -28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/((-17)\/34). Let v(y) = 5*y**3 + y**2 + y - 3. Let f be v(h). Solve 0*x + 2*x = -f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -890, 3, -12 in descending order.\nAnswer: 3, 2, 0, -12, -890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -25\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*(d\/(d*d**4\/d))\/d)\/d)*d*d)\/d)\/d**(-18) assuming d is positive.\nAnswer: d**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/((-3)\/(-6)). Let d = 26 + x. Calculate the remainder when 87 - (3\/3 + -3)*1 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3751\/7? (a) -7 (b) -7\/2 (c) 2\/7 (d) 0.1 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54349*c**3*m**3 - 26*c**3*m**2 - 78085*c**3*m - 26*c*m**3 wrt m?\nAnswer: -326094*c**3 - 156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 9 = 5*f, 437*f - 439*f = 3*i - 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17258 or -14821?\nAnswer: -14821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 6:24 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 241349 and 45.\nAnswer: 10860705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 672\/1176*(-14)\/(-60). Find m, given that 4\/15 + 22\/15*m**3 - 2\/5*m**4 + f*m - 22\/15*m**2 = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -41?\nAnswer: -5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -22012?\nAnswer: -22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o - 1. Let g = -85 - -89. Let d(v) be the second derivative of -v**3 + v**2\/2 + 6*v. What is g*y(a) + 3*d(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -2\/9, -0.01, -0.14, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*g - 2*g. Let l = 381 - 376. Solve -37 = -l*r - g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e07 (base 16) to base 3.\nAnswer: 11221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 540 and 20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 103, 174, 257?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -2 (c) -2\/5 (d) -9 (e) -7 (f) 0.13762\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 24 = 5*z. Let w(c) = -c**2 + 14*c + 26. Is w(z) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -867\/1397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.167 * -0.2\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4 - 0. Let w be 1\/(m - (-9)\/(-5)). Suppose 0 = w*n - 10 - 50. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + n**2 + 2*n**2 + (0*n + 4*n - 3*n)*(-2*n - 2*n + n) + n**2 - 4*n**2 + n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56186 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312) - 3*(sqrt(312) + sqrt(312)*3))\/sqrt(6))\/((-2*sqrt(4) + sqrt(4))*6 - sqrt(4) - sqrt(484)*-1) + 3.\nAnswer: -11*sqrt(13)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 - 296. Suppose -x + 5*g - 7*g = -5, -2*x - 2*g = -p. Solve 5*h + 2*n - x = 0, 0 = -5*h - 4*n - 0 - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:09 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 11*f**2 + 7*f - 5. What is g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 7*a + 10. What is t(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2. Suppose 2*f + 4*x - 6 = 0, -2*x = -3*f + x. Let j = f - 0. What is s(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 980*i - 1957*i = -976*i + 97, 0 = -86*k - i - 2*i - 4371 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-370)\/54)*(-6)\/4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 31442a?\nAnswer: 31442b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21155234 - 21155244.999977. Let y = -11 - a. Round y to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let i = -32.6 + 33.1. Let n = -1\/7 + -4\/21. What is the closest to n in i, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(81\/(-24)))\/((-10)\/(-15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/14 - 3 - (-2)\/(-7)) + 9260 + -9260.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1575113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 1 - 24. Let j = 3 + -8. Is f < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*(sqrt(99) - (1 + sqrt(99))) - (-1*sqrt(99) + 1))**2)*-1.\nAnswer: -95 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*m - 326 = 6*m - 62. Let s = -0.07 - 0.53. What is the nearest to 0.1 in 6\/5, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7369212, -14738425, -22107638, -29476851, -36846064?\n\"Answer: -7369213*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301 (base 5) to base 15.\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*o**4 - 1936565*o**3 + 68587230*o**2 + 116246260*o - 57348520 = 0. Calculate o.\nAnswer: -77498, -2, 2\/5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*h*z + 990*h + 2*z + 37104 wrt h.\nAnswer: 5*z + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (20 - -30 - -53)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -720896 divided by 180224.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35438*q**2 + 298*q + 8 wrt q.\nAnswer: -70876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104620.1 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 22 = 82. Let b be (-96)\/240 - (-18)\/c. Suppose 0 = 3*t - 5 + 23. Is b < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 times 72.3?\nAnswer: -29.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 7*y - 45. Let s be l(4). Suppose -2*b + 56 = 2*r, -3*b - 10*r + 52 = -s*r. What is the highest common factor of b and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*z - 4, 0 = -33*y + 30*y - z + 10. Suppose r + 15 = 5*u, 2*r + 9 = 2*u + 3. Suppose r = -2*i - 7 + 3. Sort i, y, -3.\nAnswer: -3, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00362645533 to 7 dps.\nAnswer: 0.0036265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 2*x + 4. Let y be u(0). Suppose 0*n = -y*n + 4. Suppose 0 = t + n - 3. Which is the biggest value? (a) t (b) -4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gll when three letters picked without replacement from {b: 8, g: 3, r: 2, l: 6}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g + 0 - 1\/8*g**4 + 1\/6*g**3 + g**2. What is the first derivative of s(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**9\/3024 - p**8\/336 - 5*p**7\/504 - p**6\/72 - 5*p**4\/24 + p**2. Let s(f) be the second derivative of z(f). Factor s(d).\nAnswer: -5*d*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -338 at most as big as -318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*d**3 - 234*d**3 + 138*d**3.\nAnswer: -34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30356198 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -102*m + 7. Let b = 13 + -23. Is p(b) 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 38547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m + 3. Give v(-16).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652082 is divided by 1071.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 + 117620*u**2\/11 + 117618*u\/11.\nAnswer: 2*u*(u + 1)*(u + 58809)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*y**3 + 206*y**3 - 576*y**3 + 169*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 199061175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171.51686450749 + 0.31685633749. Let s = -171.2 - r. Round s to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 1 (c) -16 (d) 0 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-20) + (-5)\/(-4) - 2. What is the third biggest value in -2, 0.5, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79682 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 6299*b + 21 = -6294*b, -14*m + 2*b = 38 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - (-7)\/3. Let y(v) be the third derivative of v**6\/120 - v**5\/20 + v**4\/12 + v**3\/6 + 334*v**2 + 3*v. Determine y(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*k - 288*k + 584*k - 3.\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*l - 6, 3*k - 5*k = -4*l. What is the second derivative of -k*u**5 + 79*u - 61*u - 20*u**5 wrt u?\nAnswer: -440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g + 32. Is (-231)\/(-2)*g\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i + 11*i - 8*i + 2*i - 11. Calculate b(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (110\/(-66))\/(2 + 21\/(-9)). Solve 4 = -2*y + 2*i, 0 = -2*y - m*i - 10 + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506 and 60973.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k = -27*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-156)\/8)\/(-3). Let d(o) = -34*o + 14*o + 10*o + h*o. Let w(a) = -15*a. Calculate d(w(x)).\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ccc1 + 4?\nAnswer: ccc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = 2. Let a be 1*0\/(-1) - -3. Suppose -a*n - 1 = -4. Are f and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13103870 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -274 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1303247 divided by -11\nAnswer: -118477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 20. Suppose 4*z = 0, h + 3*h - 32 = -5*z. Let q = u - h. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*o**3*u**3 - 3*o**3*u**2 + 3399*o**3 + 9*o**2*u**3 + 754*u**3 wrt u.\nAnswer: 30*o**3 + 54*o**2 + 4524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**4\/12 - 4*i**2. Let a(l) = 2*l - l - 2*l. What is a(p(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*t - 8*t + 4*t)*(-12*t**3 + 17*t**3 - 12*t**3) - 2*t**4 + 5*t**4 + 3*t**4 to q*t + s + g*t**4 + i*t**3 + d*t**2 and give g.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.7. Let v = 76506 + -76476. Which is the nearest to -1\/4? (a) q (b) v (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747116507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = f - 5*f. Let r(j) = -2*j + 4. Let q(v) = 3*v - 6. Let h(n) = -n**3 - 9*n**2 - 8*n - 7. Let p be h(-8). Let s(w) = p*r(w) - 5*q(w). Give s(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*c**2*r**3 - 3*c*r**2 - 24*r**3 wrt c.\nAnswer: 134*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120426723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154 + 202. Factor 5*l + 57*l**2 - j - 51*l**2 + 48.\nAnswer: l*(6*l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l - 12. Let g = 2 + l. Let y(p) = -p**2 + 8*p + 3. Let d be y(6). Calculate the highest common divisor of d and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a8118 + 5?\nAnswer: -14a8113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57907 in -1\/2, -0.3, -2\/11, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3 + 2)*3)\/(-1). Suppose 3*g = -4*h + 2760020, 0*g = m*g - h - 2759995. What is g rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 8:27 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (124\/(-9) + (-6)\/27)\/(-1). Find the third derivative of -2*k**3 + 14 + 117*k**2 - a - 16*k**3 wrt k.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*b = 58, 0 = l - 2*b - 107 + 39. Let z be 0\/(-1) + (l - -2). Calculate the highest common divisor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 = -10. Let k be 19*(-6)\/6 - -21. Solve k*i = y*p - 6, -3*i = -5*i + 5*p - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/11)*a**(-11)\/a*a)\/((a**(-11)*a*a)\/a**(7\/4)))**(-10\/3) assuming a is positive.\nAnswer: a**(-5\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 38*q = 46*q - 162, -3*y - 105 = 3*q for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142 - -81. Let x = l - -60.99998432. What is x rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*d - 37*d + 14*d**4 - d**3 - 4*d**4 as u*d + n*d**2 + z*d**4 + r*d**3 + p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0084 + -0.0384. Put -2\/5, 3, -3, a in decreasing order.\nAnswer: 3, a, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -900*y**7\/7 - 44*y**3\/3 + 3*y + 2711. Find the third derivative of g(p) wrt p.\nAnswer: -108000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 5*r - 4. Let p(b) = -2*b**2 - 10*b - 13. Let x(h) = -h**2 - 9*h - 12. Let c(y) = -2*p(y) + 3*x(y). Let q be c(12). Let f = q - 54. Give j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*l = -2 + 29, -43 = -4*t - l. Let y = -5 + 13. Let b be 356\/y - 4\/8. Calculate the highest common divisor of b and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 5, -0.4, 0 in descending order.\nAnswer: 5, 0, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3872*o**2 + 3868*o**2 - 3 + 3. Let c(i) = 5*i + 2. Let r(q) = -110*q - 45. Let m(u) = 90*c(u) + 4*r(u). Calculate n(m(p)).\nAnswer: -400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7085346 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, 7, 0 in increasing order.\nAnswer: -12, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.23\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 8*w**2 - 6*w + 8. Let k(x) = -x**2 - 16*x - 51. Let y be k(-10). What is the remainder when 156 is divided by q(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - 106. Suppose 0 = -4*l + 4*k + 92, -4*l + 119 = -2*k + 7*k. Let f = w + l. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/((-680)\/(-24)) + (-2)\/5. Let h(w) = 2*w + 2. Let l(b) = 26*b + 20. Let c(z) = a*l(z) + 12*h(z). Let t(s) = -1. Calculate -2*c(r) - 6*t(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at most as big as -678\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4417*a**2*k*u - 50*a**2*u**2 - 4*a**2*u - a**2 + 170*a*k*u**2 - 53*a*k - a*u**2 - 2*a + k - 1 wrt a?\nAnswer: 8834*k*u - 100*u**2 - 8*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*1*2)\/(sqrt(1100) + sqrt(1100)*-2) + ((sqrt(2057) + sqrt(2057) + -1)*-4 - 1*sqrt(2057)*-5))**2.\nAnswer: -1328*sqrt(17)\/5 + 468852\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*s = 74*s + 3*z - 481, s = 5*z + 113. Solve -87 + s = 11*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19067225\/2 or -9533614?\nAnswer: -9533614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55\/222 - -3\/37. Let y = 0.7 + 0.3. Let z = y - 2. What is the third smallest value in -3, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -703\/11. Let l = -417.7 + 414.7. Put 4, x, l in decreasing order.\nAnswer: 4, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15596 = -874*m + 4506 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050712?\nAnswer: 2, 13, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(833))**2 + (3 + (sqrt(17)*1 - sqrt(17)))**2*1.\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 282282 and 78255.\nAnswer: 156666510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 183.\nAnswer: 10.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 665*g**2 - 675*g - 6. Calculate f(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 + 4*f**2 - 6*f**2 + (-f - f + 0*f)*(f + f - 4*f) - 2 + 2 - f**2 + 2*f**2 + 4 - 3*f - 4.\nAnswer: 7*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/5 - 101994*x**2\/5 + 260079600*x - 1300296008\/5 = 0. What is x?\nAnswer: 1, 25498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.8+-1549196.03\nAnswer: -1549192.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 4. Let g be d(0). Sort g, 3, -2.\nAnswer: g, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*o + 4, -4*n + 20 = 5*o - 6*o. Suppose 25 = 5*w - n*g, -7 - 3 = -2*w + 4*g. Is ((-60)\/(-9))\/w*33 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t. Let p(k) = -232*k**2. Determine p(d(j)).\nAnswer: -928*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (4\/(-22) + (-1024)\/176). Factor -122*y - 189 - 991*y**2 - 31*y + 952*y**h - 3*y**3.\nAnswer: -3*(y + 3)**2*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*2)\/(38\/95). Suppose 154 = t*v + 94. What is the greatest common divisor of v and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 10. Let v be n(5). Suppose 0 = -v*g - g + 25. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r - 3*r - 4 + 0*r + 34. Let p be x(-6). Let z be 21\/5 - p\/((-30)\/1). Solve z*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -19. Is b bigger than 4\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -17*j**3 + j**2 + j. Suppose -13*y - 5 = -8*y. Let u be (-3*4\/24)\/(y\/4). Suppose u = -3*z + z. Give f(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5825.627 + -5775.7. Let h = i - -0.073. Let n = h - 49.914. What is n rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 1233, 4150, 9835, 19212, 33205?\nAnswer: 52738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24696 divided by 825?\nAnswer: -8232\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 254*j - 2762. What is r(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6178*h**2*k**2 + 25*h**2 + h*k**2 + 99*k**2 - 528 wrt h?\nAnswer: 12356*h*k**2 + 50*h + k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:31 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 821938 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/(-13) + 17 - 12 - (10 + -4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(35\/24) - (-8)\/14. Solve -a*n = v - 18, -3 = 5*v + 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**11*b*b))\/(b**(-2\/19)*b))**(-5\/12) assuming b is positive.\nAnswer: b**(1225\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 12*w + 13. Let v be t(-13). Let y be -4 - v - (-4 + 2). Let r = -0.2 + -1.8. Is y less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-17 + 8 - 5256). Calculate the highest common divisor of c and 458.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3242562353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/12 and ((-2)\/(-96))\/(4\/568).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 5*u**2 + 6*u + 15. Determine i(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 123021230 (base 4) to base 7\nAnswer: 642143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608 is divided by 62.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-21 + 2)) + -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56683872 by 744.\nAnswer: 76188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -1354308.8?\nAnswer: -1354308.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19922.62 weeks in seconds?\nAnswer: 12049200576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 810999145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 11021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1122, -1133, -1152, -1179, -1214?\n\"Answer: -4*b**2 + b - 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-10) + (-38)\/(-95). What is the first derivative of -10 - 18 + 10 - 82*l**w - 44 wrt l?\nAnswer: -164*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10256941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 16*k**4\/3 + 31*k**3\/6 - 96*k. Find the second derivative of i(m) wrt m.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let x be 4*2 - (5 - m). Solve x*o + 6 = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/135*(-3)\/2. Suppose f = -3*v - 8, -3*f + 0 - 6 = 0. Which is the third biggest value? (a) x (b) v (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000517 to six decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3222231110 - -1032?\nAnswer: 3222232202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9762 and 87.\nAnswer: 283098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 6*p - 11. Calculate k(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + f + 209, -2*p - 2*f = -6*f - 94. Suppose -3*g - 5*h + h = -p, 0 = -4*h - 16. What is the remainder when 66 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 10*o + 4*o)*(4 + o - 4).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*d**3*k**3 - 3*d**3*k + 4*k wrt k.\nAnswer: 1146*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = -v. Let d = -7 - v. Suppose 3*c + 12 = 4*b, d*c - 6*c = -5*b + 15. Solve b*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/21*(-70)\/(-20). Solve -j*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three quarters of a micrometer in nanometers?\nAnswer: 8250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -264 and 2.25043.\nAnswer: -594.11352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 24.2. Let h = -24.8 + n. Let t = h - -21.0000148. Round t to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = 45. Let o be 273\/x + (-12)\/(-18). Let v = -16 + o. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 418 - 1250 = 0. Let b = 376 + z. What is the greatest common factor of b and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(612) + sqrt(612) + -4 + sqrt(612) + -1)**2 - ((2*sqrt(612) + sqrt(612))**2*-6 + 2 + 1*sqrt(612))) + 3.\nAnswer: -330*sqrt(17) + 38638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1698572744 to three dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -3 (c) 203 (d) 0.03 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w + 3. Let a(g) = 2*g - 2. Let j(f) = -7*a(f) - 3*l(f). Let v be j(1). Suppose 2*q = 3*k + 228, -q + v*k + 88 = -20. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 171605 = -4*j, -4*p + 92*j + 137285 = 95*j. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -829 + 1335. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 501 = 291 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 16*p + 1. Let w(u) = 46*u - 11*u - 34*u. Determine w(a(y)).\nAnswer: 16*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 101. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -3*i**8\/280 + 6*i**7\/175 + 7*i**6\/75 - i**5\/75 - i**4\/20 + 78*i**2. Suppose w(q) = 0. Calculate q.\nAnswer: -1, -1\/3, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21477276 and 7071786?\nAnswer: 579886452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402*d + 4711 = -395*d. What are the prime factors of (4 + d\/2)*(-7 + 9)?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 263?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 46 = 2*u - 0*u, 0 = 4*q + 4*u - 132. Suppose -o - 2*d + q = 2*o, -d + 17 = 2*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1007695375 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 30 = -9*r. Solve -2*p + 5 = -r*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 9*n**3 - n - n**3)*(-3 - 15*n + 3).\nAnswer: -60*n**4 + 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1178.117038 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*v + 10 = v, 2*d - 5*v = -13. Let i(o) = 477*o**3 + o**2 - 3*o + 3. What is the hundreds digit of i(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 619*d + 16780. Calculate r(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/49? (a) 10 (b) -1 (c) -2 (d) 2\/17 (e) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 162997*b - 3. Let r be h(-1). Round r to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**2 - 8*t - 176. Let w be 535\/(-25) + 0 - 6\/(-15). Is h(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.7 + -7.36. Let a = -1.812 + i. Let j = a + 0.072. Sort j, -6\/23, 4 in increasing order.\nAnswer: j, -6\/23, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 47.\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**7\/840 - g**6\/120 + g**5\/120 - g**4\/6 - 5*g**3\/6 - 3*g**2. Let k(d) be the first derivative of b(d). Give k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -208, 29, -141, -6 in descending order.\nAnswer: 29, 4, -6, -141, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 466037.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2 + 2)*(-7 + 7 - 1).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.2 rounded to zero decimal places?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 40. Let x(w) = 4*w + 81. Let o(v) = 13*d(v) + 6*x(v). Let m be o(-19). Solve 3*c - 10 = -m*s, 3*c - 7 = 3*s - 2*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -246\/13?\nAnswer: -246\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357 + 547. Suppose 5*t - j - 4*j - f = 0, 4*j = 2*t - 70. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1153*y + 489 + 1099*y + 892*y - 489.\nAnswer: 838*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -343 + 339. Which is the biggest value? (a) k (b) -0.4 (c) -0.2 (d) 10\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 90333. Let m(b) = -9*b. What is m(f(t))?\nAnswer: 9*t**2 + 812997","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 0*y**3 - 4*y**2 + 39*y + 1\/2*y**4 - 5. Differentiate z(q) with respect to q.\nAnswer: 6*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 + 3*d**2 + 4*d**2. Let k(v) = 185 - 185 - v. Determine l(k(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {j: 2, n: 1, h: 3, q: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j - 6. Let o = -10 + 20. Let m be 24\/(-40) + (-14)\/o. What is the tens digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1.6. What is the nearest to 1 in -2, -1\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -156.09582 + 0.04582. Round j to the nearest integer.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 78. Suppose 4124*t - 4059*t = -22492 + 126362. What is the highest common divisor of u and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 369, 15, 1, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Let n(z) = 0*z**2 - v*z**2 + 2*z**2 - 2*z**2. Let j(d) = -3*d**2 - 7*d - 7. Let t(y) = -y - 1. Let h(b) = -2*j(b) + 14*t(b). Determine h(n(r)).\nAnswer: 54*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212103 + -3?\nAnswer: -212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(180))\/sqrt(9) - (5*sqrt(55)*-2)\/(sqrt(11)*1*6).\nAnswer: 35*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9129161.7 microseconds in days?\nAnswer: 0.00010566159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173.9927 - 174. What is u rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74751 (base 8) in base 11?\nAnswer: 214a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - ((sqrt(637) - (2*sqrt(637) + 1)) + sqrt(637))) + 1*sqrt(637) + -3 + sqrt(637) + -2 + 4 + sqrt(637)*2)**2.\nAnswer: 15925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01427 and 0.5?\nAnswer: 0.48573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 3. Suppose -11*s + 2*s + 495 = 0. Suppose -s = -5*z + 10*z. Let y(a) = 21*a - 16. Give z*c(x) + 2*y(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/(-4))\/5*-4. Suppose v = 2*s + 9, 6*v - 3*v - 4*s - 27 = 0. Calculate the greatest common factor of v and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011101101110101 (base 2) to base 4\nAnswer: 103231311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885792878.\nAnswer: 2, 29, 151, 101141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11926249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciqiqc. What is prob of picking 2 i and 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16272 divided by -3.\nAnswer: -5424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 7 = 21. Suppose -p*j = -3*j - 6. Solve -6 = -4*t + j*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 232\/3 + -4414\/57. Let z = b - -52\/133. Factor -z*w**4 + 0 + 0*w + 8\/7*w**3 - 8\/7*w**2.\nAnswer: -2*w**2*(w - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-12) + (-53)\/(-3). Let w = 27 - u. What is the greatest common factor of w and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -3. Let f be a\/(-8) - (3026\/72)\/(-17). Which is bigger: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 6*w**2 - w + 196. Suppose 0 = -z - 7*c + 3*c + 24, z + c = 9. Does 4 divide x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01433 to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*u - 4*t + 2, 5*t - 5 = 4*u. Suppose 5*w = -2*k - 11, -3*k + 21 = -5*w - u. Is 10\/(-12)*-3*k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 1:36 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 27 + 25. Suppose 20515 = b*h + 4707. Suppose h - 3526 = -10*g. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (3 + -2 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + d - 4. Let o be c(0). Let k(t) = -t**3 - 4*t**2 - 4. Let j be k(o). Is -5\/2 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 = -4*r. Suppose -4*i = -r*i - 24. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/2 - -1. Let f = -3 + x. What is the biggest value in f, -1\/6, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8895 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 111*t - 115*t + 10 + 48 + 42. Let g be z(24). Solve g*f - 2 = -2*r + 2, 3*f - 3 = -2*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -609167 * -0.41\nAnswer: 249758.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q**2 - q**2 + q**2)*(-2 + 2 - q) + 5*q**3 - 1 + 1 + q**3 - q**2 + q**2)*(0*q - 2*q + 3*q).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-30) + (-154)\/12 + (199 - 186)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b5 - 0?\nAnswer: -4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 18 = -6*k. Calculate the least common multiple of k and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + (sqrt(272) - -2*(sqrt(272) + 1)) + sqrt(272) + 3 + -2)**2.\nAnswer: 128*sqrt(17) + 4364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*n**2 + 37*d**2 + 2*d*n**2 + 4*d*n - 10 wrt d.\nAnswer: 4*n**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {z: 1, i: 4, s: 6, b: 6}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 471997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by 723?\nAnswer: -51\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert b434 (base 13) to base 14.\nAnswer: 90d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 0.28 (c) -2 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {s: 3, x: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 122705729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 12. Let n be (-4)\/m - (-119)\/9. What is the highest common divisor of n and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/166 and -31\/14.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3528 = -3452*z - 1642*z - 121024 - 155618 for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9)*57*1. Let d(x) = -x**3 + 19*x**2 + x + 13. What is the smallest common multiple of d(c) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5504704 - 43?\nAnswer: -5504747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1412739497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) 5 (c) -1\/6 (d) 232\/6431 (e) -2 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/22, -1, -2\/15, 71, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2043, -3789, -5535?\n\"Answer: -1746*z - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 3*n + 1. Let m be q(-4). Let p(w) = 8*w**2 - w - 4. Let r(k) = -2*k**2 + 1. Let g(o) = -2*p(o) - 9*r(o). Does 7 divide g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44817 + -20646. What are the prime factors of q?\nAnswer: 3, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (1 + 0)) + 22. Differentiate -564*w + t + 28*w**2 + 564*w wrt w.\nAnswer: 56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0332357 nanograms?\nAnswer: 0.0000000000000000332357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, o: 2, t: 11}. What is prob of sequence tftt?\nAnswer: 165\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903248 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0 + 3. Let o be 16*(-3 - -1)*f. What is the highest common factor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287*y - 4685*y = 47572 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + i + 13 = 0, 118*r - 17 = 113*r + 4*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**2 + 68*c - 86. What is the remainder when 1379 is divided by w(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:54 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 9. Let z be u(-7). Suppose -g = -5*l - 15, z*g + 3*l - 4*l - 3 = 0. Solve j = -g*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4 - 4105*p**3 + 60370*p**2 + 64480*p = 0. Calculate p.\nAnswer: -1, 0, 16, 806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 17. Determine x(-14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (59\/(-15))\/(1 + (-22143)\/22125). Let h = 5492 + -10325. Let c = h + o. What is the common denominator of c and 65\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 7*k + 7. Let j(w) = -w**2 - 5*w + 4*w**2 + 2 + w**3 - w**2. List the prime factors of j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 364, 379, 320, 187?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5 - 30*q**4 + 283*q**3 - 954*q**2 + 1300*q - 600 = 0.\nAnswer: 1, 2, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -705, -1543, -2715, -4221?\nAnswer: -6061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 2, r: 16}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(2662)*-2 - sqrt(2662)))\/((sqrt(121) + sqrt(121)*2)\/sqrt(11)*1))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/6, -2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**3 - 2888*x**2 + 4*x + 2888 = 0.\nAnswer: -722, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 14 - 23 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 4. Which is the third biggest value? (a) -0.3 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -27 (c) 524\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 97.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-172)\/(-560) + (-14)\/(-35)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563 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: What are the prime factors of 25780?\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9891.759 millennia in decades?\nAnswer: 989175.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03249 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14960 is divided by 691.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Suppose -s*n + 39 = n. Solve 3 = 4*m - n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*p - 5, 0 = -3*p - 4*c - 18 + 2. Let r be (-2)\/4*(-6 - p). Let w be (8 - 18)*r\/(-2). Solve 0*y - w = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**2 + k. Let v = 8 + -15. Let t(h) = 12*h**2 - 2*h. Let p = -9824 - -9820. What is p*t(r) + v*m(r)?\nAnswer: -6*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/4 + 1)\/((-8)\/(-496))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -28. Suppose 2*i - 4*s - t = 0, 4*i - i = 4*s + 22. Suppose 6897 + 3103 = i*a. What is a rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 9*n + 5. Let x be (6*(-5)\/10)\/1. Let b(l) = -l**3 + 0*l**3 - 2 + l**2 - 4*l**2 - 2*l. Let q be b(x). Calculate i(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 10*w**2 + 2. Let g be p(-5). Suppose -5*k + g*k + 66 = 0. Let d = 26 - k. Solve -3*l = -d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 9 + 3*t + 1)*(0*t**2 + 0*t**2 - t**2).\nAnswer: t**3 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8019589181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:36 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) 81 (c) -1\/2 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*n + 22100, 8980 + 13140 = o - 2*n. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*n + 19 = 10, 0 = -5*m - 4*n + 23. Let a(h) = 40*h**2 - 13*h + 4. List the prime factors of a(m).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -0*c. Suppose -159 = -5*w - 6*k + c*k, 3*w + 5*k - 98 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74883605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.06. Let f = -2.04 - n. Let a be (-10)\/140*(19\/(-2) + -1). What is the closest to 1 in f, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j = -27*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 + 6225*k**2 - 98 - 1554*k + 1554*k to q + y*k**2 + x*k and give y.\nAnswer: 6225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 5)*5*(-5)\/(175\/(-21)). Let m(x) be the second derivative of 5*x**i + 0 - 7\/3*x**4 + 0*x**2 - 15*x. Find the second derivative of m(n) wrt n.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018173502 to 5 decimal places.\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1872) + sqrt(1872) + 0 + 0)*-5 + 0 + sqrt(1872) + 0 + 4*(sqrt(1872) + -2))**2.\nAnswer: 4800*sqrt(13) + 1170064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**4*o - 2057*j**4 + 5*j**3 - 2*j**2*o - 319*j**2 - 584*j*o wrt j.\nAnswer: 120*j*o - 49368*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - i + 4*i)*(4 - 6 + 3) + (0 + 1 + 0)*(-i - 3*i + 13*i) as h*i + b and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + 26\/30. Let d = -0.01 + 0.06. Let n = 5.05 - d. Put n, -5\/3, c in descending order.\nAnswer: n, c, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.48988 decades to months.\nAnswer: 8578.7856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-45)*(-40)\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 17715*b**3 - 5*b**2 + 17715*b.\nAnswer: 5*b*(b - 3543)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/15 (b) -3 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 611374796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 4*r + r**2 + r**2 + 3*r. Let i(v) = -v. Give -f(p) - 5*i(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*h**2 - 14*h + 30*h**2 - 50*h**2 - 36.\nAnswer: 2*(h - 9)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -88, -1847*v + 16*n + 364 = -1843*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*v + 2*v + 983, 0 = -5*l + 5*v - 1665. Let p = l - -1991\/6. Let s be 0*(-2)\/(1*-2). Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 47*k**5 + k**4\/4 - k**3\/3 - 8454*k - 352. Find the first derivative of i(m) wrt m.\nAnswer: 940*m**3 + 3*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-9\/2)*c*c\/(c\/c**(-17)) assuming c is positive.\nAnswer: c**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 64*j**3 + j - 1. Let p be i(1). Calculate the greatest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-75)\/(-4))\/15*684. Let q = i - 34. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3365 + 3362. Sort -5, -13, -1, w in ascending order.\nAnswer: -13, -5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-220))\/(-2*609\/(-140))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let n be m(-2). Suppose -n*o + 7 + 1 = 0. Suppose -2*q + 6*q = -o*w + 16, -2*w = 3*q - 15. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-8 + -8 - -8) + 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*a + 78*a + 251 = -75*a - 13 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*(sqrt(539) + 1) + 1)**2 + 5 + (2*sqrt(539))**2 + 4).\nAnswer: -28128 - 672*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m**6 + 0*m**4 - 2*m**2 + 1\/12*m**5 + 1\/70*m**7 + 0*m + 0 + 0*m**3. What is the third derivative of q(y) wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 62, 144, 260, 410?\n\"Answer: 17*h**2 - 3*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 13*c + 26. Let z be u(11). What is a in -98*a**5 - 554*a**3 - 573*a + 456*a**2 - z*a**4 + 243*a + 258*a = 0?\nAnswer: -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a - 69a?\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3355, 6273, 8325, 9079, 8103, 4965, -767, -9525?\nAnswer: -21741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003137727 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15031534, 60126179, 135283920, 240504757, 375788690?\n\"Answer: 15031548*k**2 + k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*1 - (-2 + -1). Let n(f) = f**2 + 10*f + 1. Let k be n(-10). Suppose -t + k + w = 0. What is the highest common divisor of t and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1709, 3385, 5059, 6731, 8401, 10069, 11735?\nAnswer: 13399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 4*x**2 + 2*x + 3. Suppose 2*a = -3*u + 8, 5*a + 4*u = -0*a + 20. Let o = a + -7. Is 5 a factor of k(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53 + -56748?\nAnswer: -56685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1967 + 1968. Which is greater: r or -3\/149?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 12:55 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 255426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l + 1. Let n = 29 + -20. What is the remainder when d(-4) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -198 + 270 - 7*z + 17*z + 9*z + 11*z - 3*z**2.\nAnswer: -3*(z - 12)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1088)*-4)**2 + sqrt(1088) - sqrt(1088)) + (sqrt(1088)*4*-3)**2.\nAnswer: 174082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from cvivqqviqcviiqqqqqq.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -437096 * 0.08.\nAnswer: -34967.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 266 - 531\/2. Let q = 221 - 217. What is the second smallest value in -5, -3\/2, r, q?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 851788, 1703524, 2555260, 3406996, 4258732, 5110468?\n\"Answer: 851736*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 12*a - 5. Let d be k(-12). Let w(l) = 7 - l**3 + 3*l**2 - l**2 - 3*l**2 + 4*l - 2*l**2. What is the tens digit of w(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12819184267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 5. Is -2 - c - 5 - -23 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 12*v + 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 8*r + 10. Let n be f(7). Suppose 4 + 2 = -n*w. Let j be (-9 - w - -4) + 413. Round j to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 13. Let i = -30.3 + 28. Let s = i + 0.3. Which is the biggest value? (a) 1\/8 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 10*p + 9. Let h be b(-9). Let c be 2 + h - 0\/(-3). Suppose y - c*d - 7 = 0, 0 = -2*y + 2*d + 13 + 9. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*f - 3*f = -17, 0 = -3*q + 2*f + 6. Let w(n) = -20*n - 1. Let z be w(1). Let d be (-48)\/z - (-2)\/(-7). Sort d, 5, q in descending order.\nAnswer: 5, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96089 bigger than -96089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyoyyiiiooiiiiiioyo. Give prob of sequence yo.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -338, -348, -162, 286?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 27. Let z(h) = -29*h**2 - 12*h + 20. Let p(a) = 28*a**2 + 14*a - 22. Let b(j) = c*p(j) - 7*z(j). Differentiate b(f) with respect to f.\nAnswer: 70*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 21. Calculate the lowest common multiple of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424970398 rounded to the nearest 1000000?\nAnswer: 1425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = -23. Suppose 0 = 3*m - 30 - 0. What is the remainder when m is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -25. Let z(f) = f**3 + 12*f**2 + 10*f + 8. Let c be z(h). Suppose 0*s = 2*s - c. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (92 + 63\/7)\/(-1). What is the common denominator of (-5 - -1) + s\/(-20) and -47\/166?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5302 is divided by 1284?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9215981 days in milliseconds?\nAnswer: 79626075.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j - 1. Let p(h) = h**3 - 11*h**2 - 12*h - 4. Let u(x) = p(x) - 4*t(x). Factor u(q).\nAnswer: q*(q - 8)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from riirriiiiiirir. Give prob of picking 1 r and 2 i.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 1 j when three letters picked without replacement from {i: 4, b: 2, j: 2, f: 1, p: 1, z: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23160 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -164, -237, -310, -383?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-3 + (-183)\/(-60)). Let r(o) = o**3 + 9*o**2 - 41*o - 386. Let n be r(-7). Is n >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w + 2*w + (-7 - 6 + 3)*(2*w - 4 + 4).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2496 + 2527 = -4*n, 0 = 5*g - 5*n - 45 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 0.1. Let b = g - -0.02. Let f = -6 + 3. What is the closest to b in -2, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24768, 10, 4 in increasing order.\nAnswer: -3, 4, 10, 24768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2736\/532 + (-24)\/21 - (-6 + 8 + 54)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Suppose -5*s = -m*z + 5 - 0, 3*z + 4 = -4*s. Solve 5*k = -z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176762 (base 15) to base 14.\nAnswer: 217c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/75 and 64\/55.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 1\/6, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.37, -1, 1\/3?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = -4*d + 13, -2*f = 4*d - 12. Let n(j) = -6*j - 3*j + 5*j - 1. Determine n(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzh when three letters picked without replacement from {z: 2, h: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2 - 22. Let v = 1 - 0.6. Let a = v - -0.1. Sort 0, n, a in increasing order.\nAnswer: n, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (156\/65)\/(4\/10). What is the units digit of 120\/50*220\/w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 7*u + 1 - 3*u + u. Let v(n) = n**2 + 4*n. What is -2*j(r) - 5*v(r)?\nAnswer: -r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 - 594 = 33*z. Let y = -1 + 1.2. Which is the closest to y? (a) z (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -284b2?\nAnswer: 284b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 5, o: 1, w: 5, h: 1, r: 1}. Give prob of sequence cwc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 3*r + 1. Suppose 4*x = -5*h + 9, h + 2 = 4*x - 1. Let y be (1 - 3) + 0\/x. Let l be u(y). What is the highest common factor of 99 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n - 131 = 2*n + 37 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - k**2 - 1. Let i(l) = -198*l**3 + 2*l**2 - l + 1. Determine 2*i(d) + 2*s(d).\nAnswer: -392*d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 246*p - 406. What is c(-8)?\nAnswer: -2374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -20?\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4954*r = 5296*r + 13680 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*x - 5*p - 25, -3*x + 2*p = -51. Let h be 9\/4*(-80)\/(-6). Calculate the greatest common factor of h and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, v: 1, c: 1, y: 13}. What is prob of sequence cy?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460*i = -59*i - 22456. Calculate the highest common factor of i and 2478.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/22)*(v*(((v\/(v**(-48)\/v))\/v)\/v)\/v)\/v)\/(v**(-47)\/v**(-46)) assuming v is positive.\nAnswer: v**(1081\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.1 + -1.1. Let y = 0.025 - 6.325. Let d = y + f. Put d, -4, 1\/3 in ascending order.\nAnswer: -4, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 387841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(-1*sqrt(6)))\/sqrt(4).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13760, 16066, 18368, 20666, 22960, 25250, 27536?\nAnswer: 29818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 3*k**2 + 6*k**2)*(-124*k + 113*k + 390*k).\nAnswer: 1895*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -1439*p**5\/20 + 5*p**3\/3 - 69*p**2 + 3*p + 39. What is the second derivative of y(d) wrt d?\nAnswer: -8634*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**2 + 2450*v + 4903. Give x(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*k - 3*q + 5*q, 4*k + 5*q = -55. Does 2 divide (12\/(-5))\/(4\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -6b1?\nAnswer: 6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438820347?\nAnswer: 17, 199, 425309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207235 and 47523?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-832)\/112)\/(-1 + 3) and (-2)\/6 - (-41)\/(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 134*k - 2114. Give f(28).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = t + 15, -2*t = -5*k + 35. Let q(z) = -z**2 - 8*z - 5. Calculate the lowest common multiple of 2 and q(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -345, 4\/3, -0.4, 1\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/66)\/((-150)\/275).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -82. Suppose c = -3*b - l, -5*c = -4*b - c - 32. Let d = 22 + b. Solve y + d = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -56*w. Let p(z) = 56*z - 1. Let y(r) = 4*k(r) + 5*p(r). Let x(f) = -f**3 - f**2 - 3*f + 6. Let b be x(0). Is y(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 = 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -433*k**4 + 4889*k**3 + 17560876*k.\nAnswer: -5196*k**2 + 29334*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*w + 5*s - 20 = -105*w, -3*w + 15 = 3*s. Suppose 3 + 0 = 3*j. Sort -4, w, j in decreasing order.\nAnswer: w, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 2 - (-15 - -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/15873330 and 82\/825?\nAnswer: 79366650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - (-190)\/(-8)*(-58)\/290. What is the third smallest value in -2\/7, 2\/3, 4, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+0.03511299\nAnswer: 1.03511299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01004 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*-3*(-5)\/(-60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.2 (b) -4.9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -3 - 8) + (5 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43011.44 centuries in decades?\nAnswer: 430114.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**8\/48 - r**5\/15 + 12*r**2. What is the third derivative of d(p) wrt p?\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*b + 57700 = 8827*b + 128053 + 108336 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2524508.9 + 5.931.\nAnswer: -2524502.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -19) + (19 - ((-82 - -7) + -20)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18b6978 (base 14) to base 6\nAnswer: 1115015342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4631?\nAnswer: 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 2*a**2 - 3*a**2 + 5*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3385 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 3*x + 3. Suppose -5*n - 7 = -4*n - 4*w, 6 = -n + 3*w. What is m(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a + 11. Let z(b) = 4*b + 4. Let u(i) = -3*t(i) + 8*z(i). Let s(c) = 1. Calculate s(x) - u(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 2, a: 1, u: 1, m: 5}. What is prob of picking 1 u, 1 a, and 1 e?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -20.14 (b) -0.5 (c) 8590\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 8:05 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5 = -8*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122070 and 202995.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -131\/94?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**37*(r\/(r*r*(r*r*r\/(((r\/(r\/((r\/r**(-1\/15))\/r))*r)\/r)\/r*r)*r)\/r))\/r*r\/r**(-31)*r\/(r*r**(-37)) assuming r is positive.\nAnswer: r**(1516\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:56 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 - 7*z - 2. Let l be i(4). Suppose 23*v = l*v - 25. Let s be 2*v\/10*(0 - 0). Put -6, s, 1 in decreasing order.\nAnswer: 1, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.585176 months to decades.\nAnswer: 0.1882098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5616 and -109\/240.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2 - 3513*w - 10566 = 0.\nAnswer: -3, 1174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16566 is divided by 4019.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-9) - -1)*6. Let q = 3 + b. Let w be (-2)\/((3\/q)\/6). Solve -w*u - 20 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*j**3 + 5112534*j - 5112534*j.\nAnswer: -154*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83369174, 166738345, 250107516, 333476687, 416845858?\nAnswer: 500215029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1 - 56*l**3 + 6*l + 0 - 5*l**2 + 55*l**3. Let g be i(-6). What is the highest common factor of 4 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49662 is divided by 16427?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 2*v. Let w be j(-6). What is the units digit of 3\/((-9)\/w) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82.1 + -86.31. Let i = -0.79 + y. Sort 5, -0.5, i in ascending order.\nAnswer: i, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.89404 rounded to two decimal places?\nAnswer: 2.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -64973 (base 10) in base 15?\nAnswer: -143b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -l - 9 + 31, 5*l - 30 = 4*m. Suppose -4*s - 56 - 48 = 4*o, -3*s = -l*o - 37. Let v = o + 43. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -21 (c) -99 (d) -2\/19 (e) -25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 + 17)*(-2)\/(-4). Suppose -p*g + q - 12 + 32 = 0, 4 = -2*q. What is the highest common divisor of g and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 166 = 1021. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 14. Let x be s(0). Let z be 66\/x + (-4)\/(-14). Suppose -j + k = 6, 3*k + 7 = 5*j + 35. Which is the smallest value? (a) z (b) 1\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15367 + -8895. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4\/3 (b) -2\/75093 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*x = -657*x + 123*x - 13860 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (1 + (-2 - 4)). Let l be (-40)\/(-25) + 2\/q. Solve -15 = l*h + 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074740?\nAnswer: 2, 3, 5, 151, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 + 116. Suppose -b - 520 = -5*i, 18 = -3*i - k*b + 330. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116583146 and 530.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -942\nAnswer: -40\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 28*o**2 - o - 2. Let d be l(-3). Let m = 261 - d. Solve -3*t + 3 = 0, 2*t - 10 = -4*n + m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6220 + 8059 + 9231 = 444*v - 239*v for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 2*r + 4*w, -4*r = 2*w - 10. Suppose r*t = 2*t. Solve -4 = l - t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -106, -107?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -378 + 423. What is the remainder when 145 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 985758*q**3 + 267075 wrt q.\nAnswer: 2957274*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 1}. Give prob of sequence bby.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 5. Let a be x(-4). Suppose q + 14 = 6*v - a*v, 3*v - 4*q - 2 = 0. Suppose -v*m = -3*m. Solve 2*h = -m*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n - 4*j = 1279, n - 251 = 2*j. Let s = 165 + n. Let w(g) = 211*g + 211*g - s*g. Let c(x) = 24*x**2. What is c(w(p))?\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/13 + 462\/2. Let p = -150 + v. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 161\/49 - (23\/7 - 3). Calculate the highest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -45. Suppose 5*r + s - q = 2, 1 = s. Let m(y) = -y**3 + 7*y**2 + 7*y + 8. Let j be m(8). Which is the closest to r? (a) -2 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 328 = y. Suppose -5*w + y = -173. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9111434361 + 147*f - 9111434361.\nAnswer: 147*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262 - -431. Let s = m + -169. Let h = -2 + 3. Which is the nearest to s? (a) 4 (b) -12 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1748*w + 19157. Give o(11).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 x, and 1 k when four letters picked without replacement from {e: 1, x: 5, k: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2)\/(-16)*(-19 + 29)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.1 - 14.6. What is z rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123561.3907 + -123567. Let v = 5.326 + h. Let l = 0.29 + v. Round l to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1. Let w(x) = 3*x + 22. Let k(f) = f + 14. Let s(r) = -5*k(r) + 3*w(r). What is -4*l(a) + s(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/4 + 4*y**3 - 3*y**2 + 10*y + 1. Let v(q) = q**2 - q + 1. Let o(a) = -2*h(a) + 18*v(a). Find x, given that o(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + j**2 + j**2)*(-1 + 0 + 3) - j**2 - j**2 - 13*j**2.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -266\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from lrsxkslslx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.180805 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514*h - 10 = 516*h. Let n be h + (-1)\/(534\/(-2658)). Is 1 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a + 586 - 6*a**2 - 8*a - 506.\nAnswer: -6*a**2 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -3 + 5 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + w = 6, -4 - 16 = 5*w. Let s(h) be the first derivative of -h**3\/3 + 7*h**2\/2 + 13*h + 3. Let q be s(9). Is q at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9736 divided by -2\nAnswer: 4868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-1))\/(73 + -80) + 2. Solve 14*h - 34 = -j*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58087 - 17?\nAnswer: 58070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 r, and 1 v when four letters picked without replacement from fuuuuvhqfvfqqfhffru?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 23*o + 39. Let m(g) = g**2 - 2*g + 3. Let f(z) = -j(z) + 3*m(z). Factor f(h).\nAnswer: -(h - 15)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 - n + 1. Let w(m) = -11*m**3 + 2*m**2 + 3*m - 2. What is 2*i(b) + w(b)?\nAnswer: -13*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -1\/7 (c) 1776\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.1332 - -0.9498. Let x = i - 49. Let f = x + 1.087. What is f rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -216 + 484 - 220 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/5)*n*n)**(-2\/45)*(n*n*n**(-2\/13)\/n)\/(n*n**(-1\/8)*n))\/((n**6\/n)\/(n**(-9\/5)\/n)*n**(-5)\/((n*n**(-1\/4)\/n)\/n)) assuming n is positive.\nAnswer: n**(-122381\/23400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 358921 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g + 12*g - 6*g - 6*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Let b = 5.16 + 639.34. Let l = 644 - b. What is the smallest value in y, l, 7\/6, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 7*j. Let o be n(7). Suppose -2*t = -3*f - 56 - 30, o = 5*t + 3*f - 173. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 3*n**2 + 215 - 218 - n**3. Let x be -6*(24\/9 + -3). Suppose 3*r + x*u = -r - 4, 4 = 4*r - 2*u. Give t(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**2 - 7*d + 87. Let z(h) = -h**2 - 2*h + 2. Determine w(r) - 4*z(r).\nAnswer: -3*r**2 + r + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 59*o**2 + 680*o + 134. Calculate u(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 8.59953206729.\nAnswer: 12.59953206729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305413429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*2 + (-1 - 6) + 7. Suppose -7*o - v*o = -0*o. Suppose f + 5*t = -4*f + 395, 3*f - 4*t - 258 = o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106917*a = -4*s - 106919*a - 82, 0 = 4*s - 3*a - 173 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 93, -1, -57, -4, -7, -5 in increasing order.\nAnswer: -57, -7, -5, -4, -1, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 14. Suppose -105 = -2*y - 3*a, 5*y - 211 - 89 = 5*a. Suppose 4*p + c = y, 2*p + 8*c = 5*c + 41. What is the highest common factor of j and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*g + 158 + 103 - 265 to the form y + f*g and give f.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 minus -102.83979744?\nAnswer: 101.63979744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**3\/12 + 127*o**2\/4 + 16129*o\/4 - 1462. What is p in c(p) = 0?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1806? (a) -1 (b) 1 (c) 1\/6 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 10 = g, -3*g = 3*c - 6. What is the remainder when 24 is divided by (c\/7 - 15\/315)*-33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 6 + 5 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -300*h**5 - 1260*h**4 + 657*h**3 + 5568*h**2 + 1089*h + 54 = 0.\nAnswer: -3, -1\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 231.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -120685612 at most as big as -120685612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 f when three letters picked without replacement from {f: 5, h: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-1)\/(-10)*81\/(-54)). Let k be -5 + 72700 + s\/4. What is k rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -10*v**3 + 3*v**2 + 3*v + 3. Let h be q(-2). Let z = h + -42. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/9*b + 4\/9 + 2*b**2 + 2\/9*b**4 + 10\/9*b**3 = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/(4\/(0 + -24)). Find the common denominator of 6\/42 + 375\/s and -7\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**4\/4 - 16*w**3\/3 - 77*w**2\/2 - 98*w + 10. Factor o(x).\nAnswer: -(x + 2)*(x + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0103203836 rounded to five dps?\nAnswer: -0.01032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 55 - (99 - 140)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1172)\/7032)\/(7\/108).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -21*f - 33. Let n(w) = 11*w + 18. Give 4*l(s) + 7*n(s).\nAnswer: -7*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 + 0*j**4 - j - 6 - 1 + 2*j to w*j**2 + c + b*j**4 + g*j + t*j**3 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1957\/2730 + -1\/390. Are 1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 7*o + 1. Let v be b(5). Let q = v - 13. Suppose -f - 4*t = -2*f, -2*t = 3*f. Solve 2*c + 6 = x - f*c, q*c = 4*x + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-165)\/(-60) + 171\/76. Solve r*c = -9*b + 13*b - 15, -5*b = -3*c - 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 16\/785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*-2*(-3)\/3. Suppose -2*l = d, 0 = 5*m - 2*l + 5 - 35. Suppose m*y - 14 = -2. Solve 0 = -y*f - 3*a - 3 + 9, -f = 2*a - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.9 - 14. Let v = j - 3.3. Let h = 2.4 + v. Which is bigger: h or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68558 is divided by 1900?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 34. Suppose 5*t + 21 - 71 = 0. What is the greatest common divisor of t and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 4*g**2 + 3*g + 12. Determine q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196 - -181. Is 2 + (-7116)\/f + 18\/30 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/5 + -8\/15. Let q be 12\/(-9) - 1*(-30)\/((-75)\/(-5)). Which is the fourth biggest value? (a) y (b) q (c) -2 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y - 59*y - 80 = 4*j, -32 = -6*j + 2*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84631 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - w + 509 = 0, -3*a + a + 2*w + 500 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1003363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 + 157. Calculate the remainder when n is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 61609?\nAnswer: 554481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 - 191. Let y(o) = -4*o**2 - 2*o + 222. Does 25 divide y(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 3, i: 1, w: 2, q: 6}. Give prob of picking 1 a and 1 q.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482 - 464 = 132*g + 562 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301201312 (base 4) in base 14?\nAnswer: -1ba766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1001100 (base 4) to base 10\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.225427081 to five dps.\nAnswer: -0.22543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -58, -122, -222, -364?\n\"Answer: -n**3 - 9*n**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjprppprp. Give prob of picking 3 r.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 + 311 = 6*t. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/(1*(-1 - 3)). Which is the closest to 4? (a) o (b) 2\/15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from {f: 3, u: 5, x: 3, m: 2}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.05? (a) 0.19 (b) -2 (c) -2\/5 (d) -5\/2 (e) 12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28*(-124)\/(-48)*3. Let p be ((-6)\/(-9) + 0)*(19 - 7). Suppose p*l = l + u. What is the remainder when l is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - b024a8a?\nAnswer: -b024a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 132*h**2 - 121*h**2 - 44.\nAnswer: 11*h**2 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 61. Let r = a + 40. What is the nearest to 3 in 3\/2, r, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30735 and 27320?\nAnswer: 245880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1256898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = 2*u - 95. Let p = -23 - u. Suppose 0 = -2*f + 138 + p. List the prime factors of f.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -15. Let f = b - 31. Suppose 5*m - 56 = o - 3*o, 0 = f*o - 12. Which is greater: 11 or m?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 303*y**4\/4 - 1807*y**3\/3 - y**2\/2 + 9358. Find the third derivative of h(b) wrt b.\nAnswer: 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155\/2? (a) 2 (b) 3\/8 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5148.816cm to millimeters.\nAnswer: 51488.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 + 2.41. Let z = -2.7 + j. Let d = z + -0.07. Which is smaller: 1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24214847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152455 is divided by 152434?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000069927 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -372, -734, -1098, -1464, -1832, -2202?\n\"Answer: -u**2 - 359*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -12*s + 32. Calculate w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 25, 65, 141, 265?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*n**3 - 3389833*n**2 - 22710573*n + 1 wrt n.\nAnswer: -30*n - 6779666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5464)\/4*1\/1. Is 14 a factor of k\/(-14) - 20\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 - -1.7. What is the third biggest value in -2, z, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snswnstts. Give prob of picking 1 w and 2 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w. Suppose w = 5*c - 5*b - 10, -3*b = -c + 1 + 9. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.06?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0) + 16\/(-6). Suppose d - 6 + 3 = 0. Suppose -5*m = -s + 28, s + 8 = -4*m - d*s. What is the closest to -1 in m, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -116, -175, -232, -287?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21567834802 and -4.68?\nAnswer: 21567834797.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {b: 1, d: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2056372*s**2\/7 - 2056380*s\/7 + 8\/7.\nAnswer: 4*(s - 1)*(514093*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 5:58 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h - 117 + 6*h - 17*h + 6*h + 4*h to n + r*h and give n.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2133343366+-47.23\nAnswer: -47.0166656634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + sqrt(304))**2 + sqrt(228)\/(sqrt(12) + sqrt(108)*-2).\nAnswer: 399*sqrt(19)\/5 + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)*(3 + -1). Let m(q) = -q**3 + 3*q**2 + 5*q - 3. Let n be m(v). Is -1 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000098671266 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -2, -2, -4, -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15)\/(0 - -2) + 108\/(-10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1604 - -2591. Suppose 4*h + 729 = -g. Find the common denominator of (-2)\/(-1) + h\/18 and -69\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 37 + (318321\/21357 - 2\/(-21))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -15, -0.0097, 0, 353 in decreasing order.\nAnswer: 353, 0, -0.0097, -0.6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44915, -44870, -44801, -44696, -44543?\n\"Answer: 2*i**3 + 31*i - 44948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250131\/4 + -62189. Let g = -342 + q. What is the biggest value in -3, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24344 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -769346420 to the nearest one million.\nAnswer: -769000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8954.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 10 - 6*t to z + m*t and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n**3\/15 + 368*n**2\/15 + 2246*n\/15 + 204\/5 = 0 for n.\nAnswer: -17, -9, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*c = 289*c + 8. Suppose -l = -2*v + 6546, -4*v + c*l = -5*v + 3278. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 24. Let a be (-12)\/28 - w\/14. Let x be (-24 - -22) + (a - -9). What is the greatest common divisor of x and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 g when four letters picked without replacement from qqqqqqgq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*c. Let x(n) = -5*n + c*n + 4*n. What is the units digit of x(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4 - 44832892*f**3 + 89665790*f**2 - 44832896*f = 0 for f.\nAnswer: -22416448, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222112 (base 3) to base 11.\nAnswer: 5a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 128. Let n be k(30). Let w(b) = b**3 + 8*b**2 + 2*b - 10. Give w(n).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3 - 4*c**3 + 5*c**5 + 6*c wrt c.\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5\/4)*a**(-2\/13)\/a*a)\/(a**8)**(-2\/139))**29 assuming a is positive.\nAnswer: a**(-270135\/7228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-32)\/(-40))\/(6\/30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*a - 22 + 8 = 0, 4*r = -a + 34. Let v = r - 7. Let k be (v*3)\/(6 - 5). Solve 5 = 2*n - 0*b - b, n = -k*b - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*t**3*v**2 + 2*t**3 - 19*t - 24*v**2 + 6*v wrt v?\nAnswer: -20*t**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + n = -3*p + 14, -6 = 3*p - 3*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24708 divided by -4118?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14333214 to the power of 1\/2, to the nearest integer?\nAnswer: 3786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2910 (base 11) to base 8\nAnswer: -7262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229 divided by -155.\nAnswer: 229\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596849.\nAnswer: 11, 29, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 708, -5 in increasing order.\nAnswer: -5, 2, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {v: 3, l: 2, s: 1, j: 1, f: 1, k: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/4466 and -49\/110.\nAnswer: 22330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -711, -1655, -2873, -4503, -6683, -9551, -13245?\n\"Answer: -23*h**3 + h**2 - 786*h + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 1200.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16029 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12345133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.051 - 11.9. Let b = 0.1509866 - q. What is b rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -40. What is the common denominator of 107\/26 and (-1)\/20*47 - (0 + a)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d - 26. Let o(a) = 3*a - 17. Let x(t) = 5*c(t) - 8*o(t). Determine x(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*a + 846, -15*s + 1093 = 4*a - 20*s. Calculate the remainder when a is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + t = -8, m + 4*m + 4*t = 19. Is 1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.083 - 0.017. Let p = -2.54 - t. Let q = 0.04 + p. Which is the nearest to -2\/7? (a) q (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 - i - 6. Let k be o(0). Let p = k + 11. Find the second derivative of -2*a - 3*a**5 + 0*a**5 + 4*a**p wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1064 and (6 - 2\/4)\/((-33)\/18 + 3).\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24 + 3*y**2 - 204*y - 14*y**2 + 2*y**2 + 13*y**4 - 25 - 3*y**2 wrt y.\nAnswer: 156*y**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -93*s**3 - 5*s**2 + 9*s + 15. Let y(m) = -278*m**3 - 14*m**2 + 26*m + 42. Let r(f) = 14*n(f) - 5*y(f). What is the second derivative of r(c) wrt c?\nAnswer: 528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -16*s**6\/225 - 47*s**5\/150 - s**4\/2 - 13*s**3\/45 + s**2\/15 - 60*s. What is y in g(y) = 0?\nAnswer: -1, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-34) + (-30)\/255. Solve -w = -c*s + 3*s + 7, w + 3 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 14, r: 2, x: 1, v: 2}. What is prob of sequence vrh?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 12. Solve 2*k - 4 = -c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/(-2)*-4). Let u = 265\/3 + -81. Let d = u + -380\/51. Which is the smallest value? (a) 1 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v + 4*y + 3508 = 0, -2*v = 5*y - 3553. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104453 and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -165*m**3 - 2*m - 1. Calculate k(-1).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32691936 at least as big as 32691936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56360104.\nAnswer: 2, 59, 97, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) -3 (c) 901\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/853 + -795\/49474. Let z = 16\/87 + w. Is z smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/5202 and -83\/4?\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 195\/60 - (-1)\/(-4). Suppose -10*s = -k*s - 2534. What are the prime factors of s?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a - 277*a - 21*a + 124574. What is the remainder when a is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 1. Let u be g(-4). Suppose -6*s + 102 = -u*s. What is the remainder when s is divided by (((-84)\/20 - -5) + 0)\/((-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359660 a multiple of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7876 equal to -7881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 10*x**2 + 23*x - 6. Let d be n(7). Let g(z) = -z**2 + 3*z + 40. Let k be g(d). Solve k = 4*y + 5 + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 8. Solve -8 = c + q*v + 3, 2 = 2*c - 2*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29837 to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -15\/19 (b) -1 (c) 2.2 (d) 0.9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 9*s**2 + 3. Let i be w(-9). Suppose 0 = -4*l - 0*l. Suppose l = i*x - 0*x - 63. Calculate the remainder when 61 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13*r + 5. Let x(j) = 9*j + 3. Let m(a) = 5*h(a) - 7*x(a). Let v = -1 + 4. Let c = v + -7. Determine m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 104. Let m(z) = -3412*z - 3 + 1710*z + 3 + 1705*z. Give p(m(a)).\nAnswer: 3*a + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:18 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 11. Let c be w(-13). Suppose -c*n + 3 = -1. Suppose j - n = -0*j. Calculate the least common multiple of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -22 - (1 + 2 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + -23 - (14 + -24 + 21).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 15, d: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*m + 6 = 0, l - 4*l - 3*m = -12. Let a = 6 - l. Let t be 2\/(-6) - (-4)\/a. Let b(i) = -16*i**2. Give b(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5\/9)*f*f)\/(f**(-2\/19)\/f))\/(f**(3\/2)\/(f*f\/f**(-2\/13)*f)) assuming f is positive.\nAnswer: f**(23135\/4446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19729 and -2?\nAnswer: -39458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(sqrt(3500) - sqrt(3500)*-1 - sqrt(3500))*6)\/(sqrt(245)*-6 + -1*-1*sqrt(5)).\nAnswer: -1440*sqrt(7)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**3 - 5*c - 2. Let l(n) = 5*n**3 - 4*n - 1. Let q(m) = 5*l(m) - 4*o(m). Find the first derivative of q(v) wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 110. Is -57 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7220217.\nAnswer: 3, 29, 37, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0*-11010\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16680 - 3894 + 4624 = -638*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -2 + 4)*-2.\nAnswer: -2*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403415457 to the nearest integer?\nAnswer: 20085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/4)*o)\/(o**(-19)\/o))**(-2))**14 assuming o is positive.\nAnswer: o**(-581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4748 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33161281 rounded to 5 dps?\nAnswer: -0.33161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 + -1 - (6 - 4)) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 133*s**2 + 3 + 25*s - 5*s + 73*s**2 - 66*s**2. Does 79 divide o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 224 = 2*w + 206, 2*y = 5*w + 203. What is the remainder when y is divided by (10\/(-8))\/((-3)\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2528 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5116, -2, 2\/2621?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -129 in -2, 3, 30?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 229, 486, 835, 1270, 1785?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-261)\/(-18) + -2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-2)\/6*-6. Let j be 1\/1*(-8)\/p. Let n = -1 - j. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -7) + (-4 - -2) - -8 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050*w = 1040*w + 1040*w + 60 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 10. Let h be r(-10). Suppose -2*s - h = 2*d, -53 = 5*s - 3*d + d. Let z be (-4)\/18 - 38\/s. Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**4 - 687*d**3 + 3013*d**2 + 26895*d - 29225 = 0.\nAnswer: -5, 1, 35\/4, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 286416, 286391, 286354, 286305, 286244?\n\"Answer: -6*u**2 - 7*u + 286429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*o**3 - 5*o + 104.\nAnswer: 24*o**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002979 rounded to 5 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 31*j**2. Let r(z) = -z**2 + 3*z + 7. Let k be r(4). Let v(c) = 13 - 3 - 10 + k*c. What is v(a(i))?\nAnswer: 93*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32259 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 150?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/2 - 464*u**2 - 55134*u - 839160 = 0. What is u?\nAnswer: -90, -18, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 5*m**4\/6 + m**3\/3 + m**2\/2 - 3*m. Let a = -9 + 2. Let n(w) = -w - 8. Let k be n(a). Calculate z(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 f when four letters picked without replacement from {m: 5, f: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(70)*1*-4 - sqrt(70)*2*5)\/(((sqrt(80) + sqrt(80)*3 + sqrt(80) - sqrt(80))*-5 - sqrt(80))\/sqrt(8)).\nAnswer: 2*sqrt(7)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = 39. Let c = j - -18. Solve 15 = 4*q - c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708089 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 156 = 60. Solve -o*h = -7*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/130*32\/8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {s: 1, w: 1, u: 1, m: 2, x: 4}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3556 and 1624.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*r + 57*r - 2037 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*r**2 + 14*r**3 - 26*r**2 - r + 79*r**2 - 24*r**2 as q*r + f + c*r**2 + w*r**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -5806, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = -8. Let c = 23 - v. Suppose 2*p - 6 + c = 0. Which is bigger: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113237.\nAnswer: 17, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -209.418819 and -0.5.\nAnswer: 104.7094095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 46*y**3 + y. Let f be i(-1). Let h = -32 - f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -4 (b) 1 (c) 5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13848 + 2708. Is -11140 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-10)\/(-2) + (42 + -7)\/7 and 129.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -5 - -3 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -518, -1810, -4356, -8582, -14914, -23778, -35600?\n\"Answer: -71*o**3 + 12*o**2 - 3*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 403 = 3*b + 424, -10 = -2*w + 4*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022021 (base 3) in base 11?\nAnswer: -796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12957586.\nAnswer: 2, 6478793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, -51, -55 in increasing order.\nAnswer: -55, -51, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/(-390))\/(1\/2). Do b and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1622 + 1631. Let d(b) = b**2 - b - 1. Let m(s) = -2*s**2 + 2*s + 2. Determine g*d(h) + 4*m(h).\nAnswer: h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6000199?\nAnswer: 6000199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (85\/95 - 1) + (-232)\/(-38). Let v(x) = -9 - k*x**2 + 211*x - 7*x**2 - 208*x. Let b(f) = -3*f**2 + f - 2. Calculate -9*b(j) + 2*v(j).\nAnswer: j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -559, -857, -1155?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*g, 2*a + 10 = 5*g + 2. Let x = 0.0878 - -0.0022. What is the third biggest value in 4, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -f. Suppose -t - t = -8. Suppose t*a + 0*a = 2*s + 20, a = -4*s + 5. Solve -f*g = 4*b + 16, -4*g + 2*b = -5*g - a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 31*h + 30.\nAnswer: (h - 5)*(h - 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {e: 3, k: 1, a: 4, c: 2, p: 2, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) - 33\/7. Calculate the lowest common multiple of (x\/(10\/32))\/(-1) and (5\/4)\/(6\/48).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 121, 110, 99, 88?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4882, -19514, -43900, -78040, -121934, -175582, -238984?\nAnswer: -312140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {o: 8, z: 5, j: 7}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -2*g - g + 3*x, 365 = 5*g - 3*x. Suppose 12*s = s - 4*s + 1110. Are s and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27859452 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98c (base 16) in base 7?\nAnswer: 10061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 26012544?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(13)*2 + sqrt(13) + ((-2 + sqrt(468))**2 - sqrt(468))).\nAnswer: -2380 + 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 23*a - 2. Let k(c) = 160*c - 15. Suppose -5*o - 4*u = -22, -3*u - 6 = 2*o - 19. Let r(h) = o*k(h) - 15*y(h). Let m(w) = w**2. Determine r(m(g)).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110*b*i*x - 3*b*x**3 + b - 2*i*x**3 + i*x + 5*x**3 wrt b.\nAnswer: -110*i*x - 3*x**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5738 - -13121. Is p a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 2093?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1743.1 to the nearest 10.\nAnswer: -1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1460?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 104*b**5\/15 + 34018*b**4\/15 - 57706*b**3\/5 - 1261276*b**2\/15 - 112736*b\/15 + 15936\/5 = 0. Calculate b.\nAnswer: -332, -4, -1\/4, 2\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1de9 + -4f?\nAnswer: 1d9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {p: 1, t: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -5 (c) -8 (d) 0.36 (e) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and 1572.\nAnswer: -34584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times -1.26?\nAnswer: 0.1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 48. Let k = -2 + g. Suppose -y + 2*o = y - 14, -5*y + o = -k. Calculate the greatest common factor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25973?\nAnswer: 19, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10504\/416 + (-42)\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {a: 1, s: 3, j: 4}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r - 19*r - 432. Suppose x = -11*x + r. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 55.2. Let u = f - 7.2. Which is the second smallest value? (a) u (b) -0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*z - 3927 = 4648, 5*z = -2*l + 3395. What are the prime factors of l?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(168\/14) + 0. Let b(g) = 80*g + 3. Let c(z) = -2241*z - 83. What is s*c(w) - 83*b(w)?\nAnswer: 83*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1481145634 - -1873.5.\nAnswer: -1481143760.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 4*i**2 + 3. Suppose h + 6 = -s, 4*h + s = h - 14. Determine w(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -21\/6283?\nAnswer: -21\/6283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, e: 9}. Give prob of sequence see.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 1) + (11 - (-4 + 11 + -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42\/(1 - 0)*(11 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.264 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h + 1. Let c be w(-1). Let f be 4\/30*(c + -3). Factor f*u**2 + 2\/5*u - 2\/5 - 2\/5*u**3.\nAnswer: -2*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4))**(-32))**(-23) assuming p is positive.\nAnswer: p**3680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98.8 - -99. Which is the closest to 32? (a) y (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = 5*k, -2*k - 20 = -5*u + 3*k. Let r be 2\/9 + (-15594)\/(-54). Suppose r + 146 = u*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9105683*0.12\nAnswer: -1092681.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48, 3\/8, 2\/11, 17?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4494830 or -4494831?\nAnswer: -4494830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16188829\/118 - -137227. Let z = -2\/59 + i. Calculate the common denominator of z and (2\/(-6))\/(2\/14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/4 + 3*z**3 + 7. Let g be h(9). Suppose g = -u + 5*n - 15, -3*u = 5*n + 14 - 49. Solve -u*o = -0 - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c + 25 = -n, 4*c + 40 = -4*n. Let s be 1\/3 + (-22)\/(-6). Put c, 1, s in decreasing order.\nAnswer: s, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/60 + 11*q**4\/24 + q**3\/3 - 39*q**2 - 2*q. What is r(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**2\/3 + 676*s - 15456 = 0.\nAnswer: 24, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {x: 1, d: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + 2*(-1*sqrt(20))**2 + 0.\nAnswer: 2*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732.5265ml to litres.\nAnswer: 0.7325265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3))\/f**(1\/11))\/(f**(-4)*f\/f**(-7)) assuming f is positive.\nAnswer: f**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6041*w + 1 - 6047*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 28*l + 6*l - 12*l + 186*l + 308*l to the form t*l + r and give t.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.72 + -0.72. What is the closest to -3 in -0.5, u, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let d be ((-3)\/y)\/((-1)\/(-2)). Let f = d + 5. Solve 3*u - x = -9, f*u + 9 = -u + 5*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25705.\nAnswer: 5, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 10*v**2 - 4*v - 6. Is g(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + o - 6*o)*(4*o - 4*o + 3*o**2) + 39*o**3 - 29*o**2 + 29*o**2 as v + i*o**2 + j*o + l*o**3 and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -36. Let q = p + -25. Which is the nearest to 2\/5? (a) -4 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q + 118. Let d be n(19). What is the remainder when 27 is divided by d\/2*((0 - -7) + -8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3\/6 + 1017721*z**2\/12 + 262905*z + 712383\/4 = 0.\nAnswer: -101769, -21\/10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/70)\/(-82*(-23)\/9430).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -3112131?\nAnswer: -3112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.099 and -1479.89.\nAnswer: -1479.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193783 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -l + 20, 2*l + 3*c = -39 + 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, 0, 22, -30, 9 in decreasing order.\nAnswer: 26, 22, 9, 1, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 108 = -3*f, 4*f + a + 44 = 3*f. Let v be 24\/32*f\/1. Let m be (-72800)\/(-6)*v\/(-4). What is m rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15512 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 = 5*x, -c - 43 + 31 = -4*x. Solve -x*a = -8, 0 = u + 2*a - 0*a - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -4\/912655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41\/2 of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + (-2*(sqrt(17) + -2))**2).\nAnswer: -336 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -3\/7, -2, 2\/9, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/5)\/((-2)\/(-10)). Let d = g + -8. Suppose p + n + 3*n - 65 = d, n = -5*p + 268. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -1\/3*b**7 + 0 + 0*b**2 - 2*b + 0*b**3 + 0*b**5 - 5\/6*b**4 + 0*b**6. What is the third derivative of m(s) wrt s?\nAnswer: -840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.162 + 1.838. What is the second biggest value in j, 35, 0.1, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*g + 6584 = -6160 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1004 (base 5) to base 15.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/78272 and -113\/173440.\nAnswer: 212117120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 - 2420*r**4 - 553056*r**3 - 26244244*r**2 + 54157346*r - 27357624 = 0 for r.\nAnswer: -927, -217, -68, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0429 less than 7?\nAnswer: 6.9571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -9. Let y be -1*4*g\/(-84). Let s = -2.2 + 2. Which is the second biggest value? (a) y (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 9 = 1. What is the remainder when 56 is divided by (-150)\/(-8) + m\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: c7 (base 13) to base 6\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 2*i + 3. Let p = 27 + -23. Suppose 16 = p*f + 2*b + 6, 0 = 2*f - 3*b + 15. Let q be c(f). Sort -2, -3, q in descending order.\nAnswer: q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/1*(11\/2)\/(-11). Suppose 0 = -y*v - 11*v. Solve 4*h + h - 4*z - 7 = v, -3*z + 3 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(30)*2 + (-4*sqrt(3630) - sqrt(3630)))\/((5*2*sqrt(384) - sqrt(384))*4).\nAnswer: -47*sqrt(5)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (3 + 0)) + (20 - 24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 37. Determine j(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -341. Let m = -165 + o. What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 188, 186, 176?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 5) in base 13?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/4 + 201*h**4\/2 - 18335*h**3\/2 - 207177*h**2 + 11934527*h\/4 + 113614281\/2 = 0. What is h?\nAnswer: -17, 18, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 8 - (3 - 0). Let l = u - -6. Suppose 3*o + 5*h - 16 = l, 0 = o - h + 6*h + 8. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(55\/66). Let l = 0.3 + 0.2. Which is the third biggest value? (a) l (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4370809, -4370810, -4370811, -4370812, -4370813?\nAnswer: -4370814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990201511 a multiple of 353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g**5\/3 - 754*g**4\/3 + 410*g**3 - 158*g**2\/3 - 308*g\/3 = 0 for g.\nAnswer: -77, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = -5*b + 3*z, 220 = -0*b + 4*b - 4*z. Let n = -19 + b. What is the highest common factor of n and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {t: 2, o: 7, v: 1, e: 3, q: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 52 = -5*u. Let v be (-1)\/(-3) - 274\/(-6). Solve 5*z = -2*d + u, -5*d + 3*z - v + 17 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 4607085147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 128431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5, 6*a - 9*a + 475836 = -3*f. Let j(x) = 876*x**2 - 10*x + 1. Let r be j(-16). Let y = r + f. Round y to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 - 2*y. Let g be -1 + 0 + (-8)\/(-4). Let s be n(g). Suppose -3*f = -v - 161, -6*f + f - s*v = -291. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 44. Let x be k(0). Suppose -i - 11 = -4. Let y = x + i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 10*x**3 + 42*x**2 + 106*x + 56.\nAnswer: -2*(x - 4)*(x + 1)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5) + 0 + sqrt(5) + 1 + 5 + (sqrt(605)\/(-1*sqrt(11)))\/((sqrt(99)\/sqrt(3))\/sqrt(3)).\nAnswer: -2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 9:21 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - -8) + (-16 - -5). Solve 2*b - 4*f = 3*b + 17, 5*f + 31 = o*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 40*c + 3. Determine n(-7).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5 = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36\/7705, 2, -1, 4?\nAnswer: 36\/7705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 less than -0.5?\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 71.86?\nAnswer: -7.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*i + 70922*i**3 + 18*i - 49*i.\nAnswer: 70922*i**3 - 85*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 71, 106?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 6:24 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**3 + 299 - 299)*(2*f - 2*f + 2*f + (6*f - 2*f - 2*f)*(-1 - 3 + 2) - 3*f + 2*f - f - 2 - 2*f + 2).\nAnswer: 12*f**4 - 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/55 (b) 7 (c) 0.4 (d) -1 (e) -3 (f) -87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90524 and 32452.\nAnswer: 1719956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/15 - 40508*j\/15 - 205112258\/15.\nAnswer: -2*(j + 10127)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -54*w**2 - 3*w. Let l(h) be the first derivative of 54*h**3 + 4*h**2 - 9515. Determine 3*l(s) + 8*v(s).\nAnswer: 54*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2075 divided by -415\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 14*r + 18. What is i(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d**2 + 2*d**2 + 5*d**2. Let g(l) = -10*l. Determine g(c(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 106. Suppose f = -2*j - 47. Are j and -55 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttvtttttt. What is prob of sequence tvt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -298109 or -298115?\nAnswer: -298115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -8*b + 16*b - 3*b. Solve b = -3*q + 4*g - 13, -3*q - 85*g = -80*g + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 6 + 5)*(-32*w - 16*w**2 + 15*w**2 + 2*w**2) as v + d*w + r*w**2 and give d.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -4*a**5\/5 + 8*a**3\/3 + 35*a - 40. Differentiate t(v) wrt v.\nAnswer: -16*v**3 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 22*a - 114. Let b be h(-11). Sort b, 37, 0, -3.\nAnswer: -3, 0, b, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/15 (b) -2\/397 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14816 and 991.\nAnswer: 14682656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:43 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215 or 230?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = 0, -4*s + 4*l - 125 = 335. Suppose -118*c - 43*c - 18515 = 0. Which is bigger: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781*g = 790*g - 52254. What are the prime factors of g?\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*k - 245 = 0, -7*f + 942*k - 941*k - 343 = 0 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36487\/140 + 1810\/7. Let o = 8536 + -1280393\/150. Let t = o + -86\/75. Calculate the common denominator of t and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*d + 57, 0 = -3*d + 4*m - m + 51. Suppose 8*o = 3*o. Suppose o = d*j - 367 - 153. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 - 158*u\/3 + 20900\/9.\nAnswer: -2*(u - 38)*(u + 275)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460215 and 13149.\nAnswer: 460215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 3, 273 in decreasing order.\nAnswer: 273, 3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1215096 and 6?\nAnswer: 1215096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3275 and 55413.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21120)\/2080)\/(-66))\/(2\/1235).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 - 3*k**2 + 5*k - 8. Let l(u) = -u**3 - u**2 + u - 1. Give d(a) - 5*l(a).\nAnswer: a**3 + 2*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4 - 6776*a**3 + 226812*a**2 - 1988480*a + 1768448 = 0. What is a?\nAnswer: -1727, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 - 1. Let d(p) be the first derivative of 10*p**4 - p**3\/3 + 13*p - 159. Let f(m) = d(m) + o(m). What is the derivative of f(g) wrt g?\nAnswer: 123*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31220201 (base 4) to base 13.\nAnswer: 1c556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237 by -3.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from wzzpzzw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445 + 412 - (2 - 19).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 24. Let v be (-4)\/(-8) + (-7)\/(-2). Let h = 20 + v. Let a be c(h). Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -22 - -852 - (2 - 5 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2) - (-2)\/4. Let g(j) = -j. Suppose -3*f + 5 = -0*f - n, 6 = -4*f - 5*n. Let q(m) = m + 9. Let p(z) = b*q(z) + f*g(z). Differentiate p(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365410473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12\/645169 - 10638180481\/600007170. Let h be 16\/31*(-28)\/140. Let x = c + h. Calculate the common denominator of x and -167\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403705?\nAnswer: 5, 263, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1111001000100110100 (base 2) to base 5\nAnswer: 111332144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 2 + 3)*88\/176?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699 divided by 3?\nAnswer: 2699\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - n + 3)*(-1 + 1 + 2*n) + n**2 - 5*n**2 + 3*n**2 + 0*n**2 + n**2 - 3*n**2 + 3*n**2 - n**2 - 3*n**2)*(2217*n + 5797*n + 1185*n).\nAnswer: -55194*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 9828896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -147.56756 - -153.67. Let s = 6.1 - a. What is s rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-252)\/88 - (-390744)\/11792\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/11)\/a)\/a**(2\/25) assuming a is positive.\nAnswer: a**(-247\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 14 + 0)*(2 - 1 + 1)*(1 + 1 + 0)*(4 - 1 + 0)*(0*o + 2*o - 4*o).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d - 19. Suppose 4*s + 5*r - 70 = 0, -2*r + 76 = -32*s + 36*s. Let n be z(s). Is n < 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 0*u**5 - 3*u**2 - 3*u**5 - 9*u**3 + 0*u**2 - 9*u**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + 0.04. Let r = 0.3 - k. Let l be (-9)\/(-2) + (-1)\/(-2). Which is the second smallest value? (a) l (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*w - a, -5*a + 4*a = 1. Calculate the common denominator of (-1)\/w*(-2121)\/(-35) and 71\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2489.594 micrograms?\nAnswer: 2.489594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 2*c + 5*j - 864, -3*c = 4*j - 1296. Is c a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + -2 + 1 + 6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 128775\/29452 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 238 = 4*d, 0*d = 3*n - 4*d - 162. Let k be ((-10)\/n)\/((-8)\/10). What is the second biggest value in k, -2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 13*u**2 - 3*u + 44. Let p be s(13). Suppose p*x = 130 - 105. Put -0.4, x, 6\/11, -7 in descending order.\nAnswer: x, 6\/11, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 164\/6)*-12. Factor -1969*s**2 - 4096 - 1971*s**2 + 3936*s**2 - c*s.\nAnswer: -4*(s + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/120 - v**5\/20 + v**4\/12 - 5*v**3\/6 + 3*v**2. Let g be l(-4). Let c(t) = 22 + g*t - 22. Let z(h) = h**2. Give c(z(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 16 = -2*j - 2*f, -4*j - 5 = -5*f. What is the nearest to -1.3 in -3, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 3*v - 1. Let i(b) = 944*b**3 - 827*b + 5. Let a(d) = -5*h(d) - i(d). Find the second derivative of a(c) wrt c.\nAnswer: -5634*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4 - 21*x**3 - 144*x**2 - 324*x = 0?\nAnswer: -9, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5686b (base 14) in base 8?\nAnswer: 632437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155963, 155208, 154453, 153698?\nAnswer: 152943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -313.291.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196248 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 0. Let j = h + -1.7. Let i(o) = -6*o**3 + 3*o**2. Let p be i(1). Which is the closest to j? (a) p (b) 0.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*x = 7, 4*x - 9 = -13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Let n be (p + 0)\/2 - 2. Solve -c + 1 + 2 = n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -39.03683 and 76565.\nAnswer: 76525.96317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c - 17. Let a be (9\/12*-6)\/((-3)\/4). Let r be i(a). What is the highest common divisor of r and 286?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48415.\nAnswer: 5, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/15590 and -7\/15.\nAnswer: 46770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274287868, -274287866, -274287864, -274287862, -274287860, -274287858?\nAnswer: -274287856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -56 + 226. List the prime factors of 3\/4 - i\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31045 is divided by 237.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*94297766\nAnswer: -9429776.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -45, -137, -317, -615, -1061, -1685?\nAnswer: -2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 17 = 4420. Sort 0, -4, z in decreasing order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - (7 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - 27. Let r = -25 - f. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (111\/(-10))\/(-1)*(-328)\/(-16)*(-136)\/(-4182)\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. What is the units digit of k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 5}. Give prob of sequence idi.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15985, 15962, 15937, 15910, 15881, 15850, 15817?\n\"Answer: -q**2 - 20*q + 16006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -5 - 11. Suppose 5*c - 2*u - 334 = 0, -u = -0*u + q. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 50. What is the remainder when t(-21) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let f(m) = -3 + m - l*m + 3*m. Determine f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196075 = 141*k + 27180 - 225905. Is k a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291779531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 + 3 + -3 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 31 - 10*m**2 + 18*m + 6*m**2. Give s(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2\/7, -16.76?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**4\/12 - 14*g**2. Let k(l) = -22*l. Determine a(k(w)).\nAnswer: 44*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5 + 3 + 0 - 3*r - 2. Let y(a) = -a - 1. Let w be 1\/((-1)\/(-1) + 4 + -4). Calculate w*g(d) - 2*y(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 25, 99, 247, 493, 861, 1375, 2059?\n\"Answer: 4*j**3 + j**2 - 7*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646615896*c - c**3 + 646615896*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -155 and 180.336.\nAnswer: 25.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3*x**2 - 6)*(-4 + 0 + 5)*(-1 - 6 + 1) to k*x**2 + a*x + b and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.4 - 36.4. Let u = -0.1 + 0.1. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2321494826 from 5.\nAnswer: -2321494821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -0.58?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccwc when four letters picked without replacement from cccwwcwc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2 + 7*r - 8. Let n(s) = 19*s**2 - 20*s + 23. Let z(b) = 17*d(b) + 6*n(b). Let y = 2 + 0. What is the remainder when z(y) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103685?\nAnswer: 3, 5, 11, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) + (990\/(-105))\/33\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035 times -0.76?\nAnswer: -2306.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -177, 321, 1465, 3513, 6723?\n\"Answer: 43*n**3 + 65*n**2 + 2*n - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + w - 2*c = -18, 3*w = c + 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 767977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*a - 10, -4*v + 4 = -3*a - 2. Let p = 905 - 904. Suppose 4*y = -y. Put y, p, 5, a in decreasing order.\nAnswer: 5, p, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 10:56 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -90 + -4?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241740 and 5445?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1. Let n be y(5). Let t(f) = 2*f + 9. Let v(g) = -3*g - 10. Let w(a) = -4*t(a) - 3*v(a). What is w(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1193 (b) 3\/5 (c) 5 (d) 2\/829\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + 5\/3. Let m(a) = a - 1. Let l be m(-3). Sort l, -5, f in decreasing order.\nAnswer: f, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 24*z**2 - 16*z - 61. Suppose 2*t - 14 = 8. Calculate the remainder when x(25) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1389 and -33?\nAnswer: 45837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*x - 2*x - 451 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 5\/4 (b) 0.4 (c) 2\/11 (d) 1\/4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 132*b**2 - 115*b - 2001. Let q be d(131). Solve q - 83 = 4*p + 2*o, 2 = -2*p - 3*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*c*g**4 - 42*c*g**3 - 3*c*g**2 + 39*c + g**4 - g**3 + 52*g**2 - g wrt g.\nAnswer: 2136*c*g - 252*c + 24*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 0*x - 393*x**3 - 3*x + 9*x + 392*x**3.\nAnswer: -x**3 + 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {f: 8, b: 4, s: 5}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 137, 137, 135, 131?\n\"Answer: -y**2 + 3*y + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 72 = 3*z + z, -122 = -4*c - 3*z. Let m be (c\/40)\/(2\/5). Find the third derivative of -m*y**2 - 3*y**3 + 0*y**2 + 0*y**3 - 4*y**2 wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + -3. Let q = m + -2.5. Suppose -2*l + z - 8 = 0, 4*l + z + 24 - 2 = 0. Put q, 1\/3, l in descending order.\nAnswer: 1\/3, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 53. Let a be h*(-3 - -1)*25\/(-10). Solve 7 = a*g + 27 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -379422, 0.3, 5 in ascending order.\nAnswer: -379422, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 20. What is the closest to -3 in 2, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -11) + -5 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b + 9*b - 4*b)*(2 - 6 + 2) + 3*b + b - 2*b + (5 - 4 + 0)*(b + 2 - 2))*((3 + 3 - 2)*(7*b - 1 + 1) + 2 - b - 2).\nAnswer: -351*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2947*o**3 + 5*o - 2895*o**3 - o.\nAnswer: 52*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1115.7397781 to two dps.\nAnswer: 1115.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2\/8 - 279*v\/2 - 2765\/2 = 0?\nAnswer: -1106, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*5*sqrt(117)*-3)\/((sqrt(9) - (sqrt(36)*-2 + sqrt(9)) - sqrt(9)) + (-2*sqrt(18))\/sqrt(2)).\nAnswer: 450*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = -2660. Suppose -5911 - o = -c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56496 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/17)*b**(1\/6))\/((b\/(b\/((b\/((b*b**1)\/b))\/b))*b)\/(b**(-5)*b)))\/(b**(-1\/3)\/b**(-1\/4)*b**(1\/4)\/(b**(-2\/11)\/b*b)) assuming b is positive.\nAnswer: b**(-617\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 11 + 15 + 0*o**3 - 3.\nAnswer: -3*o**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.01506 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/286 at least 62.482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*o - 12 - 3 = 0, -b + 30 = -5*o. Suppose -b*p + 3517 = 997. Calculate the highest common factor of 48 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0484712 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from nedoyydenndeyld?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 4*y - 6*y + (1 - 3 + 0)*(-3*y + 2*y + 3*y) + 2*y - 2*y + y + (-2*y + 2 - 2)*(5 - 1 - 3) as o*y + q and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/7678056 and -185\/295605156.\nAnswer: 591210312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, a: 2, z: 3, k: 3, n: 6}. Give prob of picking 1 k and 1 z.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:24 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1580464.048 rounded to the nearest 10000?\nAnswer: -1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 26. Let x be l(0). Let j = x - 43. Let g = j - -24. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*f + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0 + 15. Suppose 0 = s*d + c - 17, 5*d = -c - c + 19. Solve d = 3*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - 2*v**2)*(1179*v**3 - 68909*v**2 + 68909*v**2)*(-5 + 5 + 1).\nAnswer: -2358*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28968600?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*d**2 + 204\/5*d - 5202\/5 = 0 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 122. Suppose -5*k = -0*k + 25. Sort c, -3, k in descending order.\nAnswer: c, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1404*j**5 - 313*j - 1?\nAnswer: -28080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 10. Suppose -55 = -5*t - 2*j + 15, 0 = t + 4*j + v. Let g = -1339 - -1368. What is the remainder when g is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6024261, 6024266, 6024273, 6024282, 6024293?\n\"Answer: b**2 + 2*b + 6024258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -257, -234, -165, -26, 207, 558, 1051, 1710?\n\"Answer: 4*g**3 - g**2 - 2*g - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z - 10. Let w(k) = -k**2 + 9*k - 23. Determine 9*p(d) - 4*w(d).\nAnswer: 4*d**2 + 9*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.027 at most as big as -249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 + 11146*g - 334580\/3.\nAnswer: 2*(g - 10)*(g + 16729)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228 - 215. Suppose 0 = -v*d + 23*d - 5390. What are the prime factors of d?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1236302 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/3 - 16700*i**2 - 52300224*i - 156850576\/3.\nAnswer: -4*(i + 1)*(i + 6262)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9210533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26, 3, -2, -1370, -3.\nAnswer: -1370, -4, -3, -2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -120*g + 364. Let q be p(3). Solve 0 = -3*n - 2*c - 1, 5*c + 3 + 11 = q*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 + -1 - (17 + (24 - 73) - -35)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210355 = 321*t - 366803. What is the highest common factor of t and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2. Let p(z) = -z. Let b(r) = 5*r + 3. Let m(y) = -6*y - 4. Let k(x) = 4*b(x) + 3*m(x). Let o(s) = 2*k(s) + 5*p(s). Determine n(o(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 15 + 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 340280120.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:02 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 13. Let w = m + 11. Let r be 5 + (-2 - -3)*w. Which is smaller: 5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -11121120100?\nAnswer: -11121120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**2 + 17*w**2 + 14*w**2 - 54*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x + 12. Let q be (-4)\/x*3 + 1. What is the third derivative of 4*p**q + p**3 - 2*p**2 - 6*p**3 + 4*p**3 wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6055 - -6034.7. Which is bigger: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1146673.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (84\/2)\/(11 - 444\/42). Suppose -5*s - 6*j + b = -8*j, j = -4. Solve -16 = -2*f - s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1884 - -1888. Solve l*c - 4 = 3*h, 0 = -4*c + c + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 21. Let k = 185 - 268. Let r = k - -96. Calculate the remainder when y is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155\/2*(-24)\/(-40)*26\/(-39).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 6 - 3*r - 4 + 2 - 44*r**2 as w*r + y*r**2 + a and give y.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2568 and 117715836.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-18)\/(y\/(y*y**(3\/20)*y)))\/(y**(2\/39)\/(y*y*y**(7\/11))) assuming y is positive.\nAnswer: y**(-122393\/8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c**3 + 2 + c**4 + c**2 + 21*c**3 - c - 4 in the form f*c**3 + n + g*c**2 + v*c**4 + x*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 + 27\/5. Let l = -153.33 - -153. Let h = l + 0.23. Which is the nearest to h? (a) -4 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g + 6. Give t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 10*l**2 - 2*l - 64. Let x be d(9). Let y(r) = 0 - 3 + 4. Let g(o) = o - 9. What is x*g(n) - 5*y(n)?\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -51*b**2 - 3*b. Let m(q) be the first derivative of -q**2\/2 + 158. Determine m(d(o)).\nAnswer: 51*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*x + 134, -3*x + 4*x - 149 = 4*m. Suppose 9 = -c + 1. Let n be 37800004\/(-18) + c\/m. Round n to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 3*q**3 + 9*q**2\/2 - 7*q + 15. Let f(h) be the first derivative of o(h). What is the tens digit of f(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/52 and 16\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -495392, -1981593, -4458606, -7926431, -12385068, -17834517, -24274778?\n\"Answer: -495406*k**2 + 17*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, h: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 1508314173802.\nAnswer: 1508314173794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -103. Let c(b) = b**3 + 6*b**2 - 2*b - 5. Calculate c(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*d = -12 - 6, 3*k + d - 11 = 0. Suppose -2*x = k*l, 3*x = -5*l + 1 - 11. Sort x, -5, -7.\nAnswer: -7, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -164, 55, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20283341?\nAnswer: 13, 1560257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 242*w - 239*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 124*c**2 - 6*c - 750. Determine k(-124).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*x + 1360*x - 24 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244854 + -244854.00112189. What is x rounded to 5 dps?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 222, -7\/4, 1 in descending order.\nAnswer: 222, 3, 1, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 1 + 2*b - 4*b - 6*b. Calculate y(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392969009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 6*u + 17*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 4)*(-6 + 101 + 171)*(-2*y - y + y) in the form t*y + k and give t.\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58222888723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1612375 or -1612373?\nAnswer: -1612373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(425) + 0 + (2*sqrt(425) + sqrt(425))**2*3).\nAnswer: -22940 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4 + 7. Let j(f) = -5*f - 4. Let v(h) = -11*h - 9. Let o(i) = 7*j(i) - 3*v(i). What is the units digit of o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/1575568 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21423 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3320802.\nAnswer: 2, 3, 184489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - -1*2*sqrt(68)) + sqrt(68) + sqrt(68) + -3*sqrt(68)*-1)\/(sqrt(24)\/(-1*sqrt(486))))**2*-1.\nAnswer: -88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 105*i**2 - 45*i - 4817. Determine b(-105).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 118*c**2 - 2*c - 17. Suppose -4*v - k + 29 = 0, -2*k + 0*k + 10 = 0. Is d(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 30*a - 40. Let t(m) = m - 1. Let j(z) = 200*t(z) - 5*x(z). Let g(d) = d**2. Determine g(j(w)).\nAnswer: 2500*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 12*n - 3. Suppose -u - 39 = -p + 4*p, -51 = 4*p + u. What is h(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.6 + -23. Let h = -0.01 - 1.99. Let w = h - z. Sort w, 0.2, -0.2.\nAnswer: -0.2, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 10*u**2 + 382*u. Let m(d) = 3*d**2 + 127*d. Determine -2*i(h) + 7*m(h).\nAnswer: h**2 + 125*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-14) + (-94)\/(-7) + (25 - 24). Solve -210*g + 212*g + 13 = -3*j, -2*j = -4*g + l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/2 - (3 + (-3)\/2). Let f = 1.5 - 0.5. Put f, -3, c in decreasing order.\nAnswer: f, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55225770276 + -55225710469.939987. Let t = 59808.66 - q. Let l = 2.6 - t. What is l rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31048, 31000, 30894, 30700, 30388?\n\"Answer: -5*s**3 + s**2 - 16*s + 31068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161127 is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23545043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*t + 32, -2*t - x + 6 + 7 = 0. Suppose -t*i + 4*b + 17 = 0, 27 = 5*i + 4*b - 3*b. Let k = -21 - -24. Solve -k*l = -i*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*w**2 + 1\/4*w**3 - 15\/2 + 47\/4*w.\nAnswer: (w - 15)*(w - 2)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 872, 791, 692, 575, 440, 287?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22 - 4.22. Let h = -0.235 - -0.035. Which is the second smallest value? (a) -8 (b) h (c) 5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 256 = -29*f + 83. Suppose 0 = -2*k - t - 2*t + 25, -k - 2*t = -13. Is k less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34737654 from -0.07.\nAnswer: 34737653.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + 57037860.5049?\nAnswer: 57037860.5149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**10\/(b\/b**(3\/4))*b\/(b**(1\/2)*b)*b**11*b*b*b assuming b is positive.\nAnswer: b**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 183844 and -0.198729?\nAnswer: 183844.198729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23cb89 - -5?\nAnswer: 23cb91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 + 166 + (-6 - (3 + -4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -11. Let u be (0 - i\/4)\/(40\/80). Let z be 16\/(-6) - 1\/3. Put z, u, 2 in decreasing order.\nAnswer: 2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 58*i. Let j(p) = 533*p. What is j(c(z))?\nAnswer: 2132*z**2 - 30914*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.50201 hours in days?\nAnswer: 1.43758375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + -12 + 9 + 3\/(-1). Suppose -2*h - 15 = 3*h, -4*o - 3*h + 383 = r. What is the greatest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12640709 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5604 and 81888450.\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 5*p = -33*i + 100, -4*p = -i + 35. Sort -13, i, 0 in descending order.\nAnswer: i, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 9:28 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*n + 13, 5*r - 4*n = 12 + 5. Let t be -5 + 3 + r + 3. Suppose t*b = q - 8, -4*q + 15 = -q - 3*b. Solve 0 = 4*h + 2 + q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 0*s + 2*s**2)*(-3 + 1 + 4) + (1 + 1 + 1)*(-7*s**2 + 3*s**2 + 11*s**2) to z*s + t + a*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (1 + -4 + 1 + -21). Let k = 35 - o. Solve m = k*m + 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 20 = 8*c. Let k = 6 + -6.1. Let j = 2 - 1. What is the nearest to j in c, k, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15485612?\nAnswer: 2, 59, 65617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*u**3 + 10*u**3 + 15*u**3 + 3*u**3 + 6*u**3 + 0*u**3 + (2*u - 2*u + 2*u)*(0 - 2*u**2 + 0) to the form o*u + g*u**3 + x*u**2 + p and give g.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/16 and 59\/20428.\nAnswer: 81712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22468, 22467, 22466, 22465, 22464, 22463?\nAnswer: 22462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12734 + 33*u**2 + 24*u + 12734 - 24*u.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -8*x**5\/5 + 4*x**2 + 14. Find the second derivative of d(h) wrt h.\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 - -155. Suppose 0*m + 1549 = 3*m - 4*x, -3*m + d*x = -1554. List the prime factors of m.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Suppose 11 = h + 2*d - 5*d, -2*h = 5*d + 11. Suppose 0*a - 6 = -3*a. Let c(i) = a*i**2 + 4*i**2 - 2*i**h. What is f(c(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 637 - 291. Let f be b\/8 - 2\/8. Calculate the remainder when f - (1 + -3) - 0 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9 - 242*z + 17 + 229*z. List the prime factors of b(0).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.194*-13.\nAnswer: -2.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -19.6, 2, 0.1, -196, -0.2, 4 in descending order.\nAnswer: 4, 2, 0.1, -0.2, -19.6, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*62785.\nAnswer: -188355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from oozzmyovyyo.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*n**3*z**6 - 3*n**3*z - 14*n**2*z**2 - 21*n*z**6 wrt z?\nAnswer: -1920*n**3*z**3 - 2520*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x**2 - x + 2. Let g be c(0). Suppose 0*w = w - g. Suppose 3*d = -w*i + 35, 0 = d + 3 - 4. Calculate the smallest common multiple of i and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 4, a: 1, m: 1}. Give prob of picking 1 a and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 638 = 5*l - 652, -4*l = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9254 + 11840. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 183*a**2 - 2697*a + 2883.\nAnswer: -3*(a - 1)*(a + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*s = -640*s + 13940 + 8068 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 17*v - 1. Let a(t) = 8473*t - 3. What is -a(d) + 5*w(d)?\nAnswer: -8388*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h. Let q be -2 - (468\/(-27) + h\/(-1)). Factor -18*d**2 - 26\/3*d - q*d**3 - 4\/3 - 14\/3*d**4.\nAnswer: -2*(d + 1)**3*(7*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**26*r**(2\/11)*r**(-27)*r**(3\/5) assuming r is positive.\nAnswer: r**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t - 9. Let y = -672\/5 + 134. What is the closest to y in -1\/6, t, 1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. Suppose 0 = w*q - 6*q + 10. Solve -p + q*p + 4*i = 4, 4*i = -2*p - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**9\/83160 + l**8\/9240 - l**7\/2772 + l**6\/1980 - 46*l**4\/3 + 84*l. Let o(y) be the third derivative of b(y). Factor o(t).\nAnswer: -2*t*(t - 2)*(t - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 86*q - 259. What is l(84)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3442100 - -3?\nAnswer: -3442053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/54 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3474 or -3472?\nAnswer: -3472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4032)\/19845 + 10\/45)*(-10)\/8?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -218 - -174?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 1\/12 (c) 0 (d) -2\/9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggglgg. What is prob of picking 3 g?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 - 7*p**2 - 3*p - 3. Let m(f) = 44*f**3 - 62*f**2 - 28*f - 26. Let t(b) = 52*l(b) - 6*m(b). Find c such that t(c) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 1. Determine o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.987 - 0.013. What is the nearest to v in 4\/5, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-21)\/(-9)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = 0, 0 = 2*k + v + 18 - 54. Suppose k = 4*b - 0*b. Is 41\/1 + -5 + b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7153 + 0?\nAnswer: 7153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*p + 1144 = 1889 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 8*c + 13. Let w = 13 - 22. Let s be v(w). Let m = 106 - 111. Sort 7, 2, m, s in increasing order.\nAnswer: m, 2, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 855 and 7355?\nAnswer: 1257705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 105856 divided by 6616\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*i**2*j + 974275*i**2 - 1875*i*j + 2*j wrt j?\nAnswer: 66*i**2 - 1875*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 2*f - 2*g, -2*f - 155 + 215 = -4*g for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/21*b**3 + 270\/7 + 6\/7*b - 26\/21*b**2 = 0.\nAnswer: -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 2*i)*(-5*i**3 - i**3 + 4*i**3 - 9).\nAnswer: -4*i**4 - 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Let b(o) = -2*o**3 + 36*o**2 - 31*o - 58. Let t be b(17). Sort -4, -3, t, d.\nAnswer: t, -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -459576000 to the nearest 1000000.\nAnswer: -460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9905721.\nAnswer: 3, 7, 569, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 523.2 - 523.2041185. Let a = -0.275884 + g. Let z = a - -0.28. Round z to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1245489.89 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -786d48 (base 14) in base 16?\nAnswer: -3e6d24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54487.64224 rounded to the nearest one hundred?\nAnswer: 54500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 146, 5, -4, 3, 0 in increasing order.\nAnswer: -15, -4, 0, 3, 5, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -134117 less than -16.7685?\nAnswer: 134100.2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 - 301302?\nAnswer: -302133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (126\/189)\/(2\/969). Let s = -308 + l. Solve 0 = -5*o + 2*o + s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.856828 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5317, -11286, -17903, -25168?\n\"Answer: -324*t**2 - 4997*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-9*(-16)\/(-96).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34416741*t**6 + 3*t**2 - 5630*t + 172.\nAnswer: 4130008920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 + -3.88. Suppose 3*o = 3*g, o - 2*g + 16 = 3*o. Suppose -z + o = -1. What is the third smallest value in -6, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-9)*(-6)\/4. Let r be (-28)\/(-15) - (d + 3). Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -21 + 6*2\/(-4). Let p = 100 + t. Suppose -q + p = -41. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -12. Let j = -55 + y. Solve -5*i + 3*b + b = 0, 5*i + j = -4*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 6272760.\nAnswer: 6272760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 + 3508*h**4\/3 - 121902*h**3 + 315636*h**2 + 118800*h = 0 for h.\nAnswer: -1\/3, 0, 3, 132, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:10 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 16.000154. What is y rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 9*w + 4. Let m be j(-9). Suppose 0 = -2*y + 3*i - 391, 4*i - 17 = 3. Let l = -569\/3 - y. Which is the closest to 3? (a) l (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 r when four letters picked without replacement from pgrrvgvrrgggg?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - c**2 + 1 + (-4*c - c + 3*c)*(2*c - c - 2*c))*(-4398*c**2 - 770 + 770) as o*c**2 + d*c + l + m*c**4 + h*c**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14081 or 14082?\nAnswer: 14081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrox. Give prob of picking 4 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j - 11. Suppose -72 = -10*k + 18. Is m(k) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 99*n**2 + 1800*n - 5. Give q(-75).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1727649484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13411940 and -5?\nAnswer: 67059700","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 968 and 1826?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1110542031 - 11?\nAnswer: -1110542042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6251260 to the power of 1\/2, to the nearest integer?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -35*k. Suppose g + 4*c = 6*c - 2, -2*g - 1 = -3*c. Let j(y) = y - g + 4 + 0. What is f(j(q))?\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 2:00 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*o + 50*o + 31*o - 121*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/82, 0.9, -2\/5, 4, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1091 - 1483 = 196*w. Let g = -8\/339 - 2915\/5763. Which is greater: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m + 10*m - 16*m + 7*m - 3*m.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 + 4*j**3 + 9*j**3 + (-14*j + j**2 + 14*j)*(1 - 2*j - 1) - 6*j**3 + 66*j**3 + 26*j**3.\nAnswer: 93*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-54)*(-8)\/(-2)*-2.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 48)\/((-141)\/72 + 2). Does 25 divide 8\/(-6) - -1 - k\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 223\/44 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -620, -2125, -4618, -8099?\n\"Answer: -494*v**2 - 23*v - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-20) - (-2)\/5. Let s be -1 + 2 + v - 13. Let y be s\/(-2)*(-6)\/(-12). Is 3 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35383 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*w + 2808 = -w, 4*v - 2*w = 3750. Let k = v - 939. Solve 4*u - 2*c = 12, k = -2*u + 7*u - 5*c - 25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -63, -1, -3, -5.\nAnswer: -63, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102.6 - 103. Which is the third smallest value? (a) 6 (b) m (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2976918 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 5*z**4\/24 + 4*z**2 + 2*z. Let g(j) be the first derivative of x(j). Let p(w) = 2*w. What is p(g(l))?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-3)\/36). Suppose -i = -0*y - 3*y. List the prime factors of 3\/y*14\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(35\/(-2)))\/((-9)\/63)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 8*w + 5. Let i be r(8). Let z(s) be the second derivative of -s - 1\/15*s**3 + 0*s**2 + 1\/75*s**6 + 0 - 1\/30*s**4 + 1\/50*s**i. Factor z(a).\nAnswer: 2*a*(a - 1)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/75*(-10)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5107463190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1527.5115 minutes to days.\nAnswer: 1.060771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 8\/129 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 573?\nAnswer: 56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 14*s**2 + 0*s - 2 + 0*s.\nAnswer: 14*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/16))\/(j*j**(-3\/7)*j))\/(j*(j**(1\/58)*j)\/j*j**29*j) assuming j is positive.\nAnswer: j**(-102397\/3248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 26*i - 319. Let u be l(-49). Let n = -618 + u. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 1106 = 5*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 29 + 55*g - 27*g.\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*o**2 - 454*o**2 + 100*o - 98*o + 61*o.\nAnswer: -341*o**2 + 63*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-182))\/(6\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1932 is divided by 127.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/161 (b) 2 (c) -16135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187788362*q**3 + 647434*q**2 - 31*q.\nAnswer: -1126730172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:04 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5*p = -35, 1 = 1637*g - 1636*g + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + 2)*(-11 + 19 + 10).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 greater than 5314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -o - 4*g, -5*g + 1 = -3*o - 1. Let r = -73 + 215. Let n = -133 + r. What is the greatest common divisor of o and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2822*w. Let n(x) = -2*x. Determine n(g(f)).\nAnswer: -5644*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 1, w: 2, x: 1, d: 1, f: 1}. What is prob of sequence wd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 5*f + 8, 0*f = -3*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 37. Is 94*(0 + (-15)\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -362*f**3 + 13*f + 17*f + 366*f**3 + 45*f**2. Let o(t) = -t**3 - 9*t**2 - 6*t. Let b = 3 - 1. Let k(i) = b*u(i) + 11*o(i). Factor k(r).\nAnswer: -3*r*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 2*o - 1. Let u(v) = -v. Let d = 0 + -1. Suppose 33*h - 35*h = -8. Calculate d*j(r) + h*u(r).\nAnswer: -2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*x**3 + 3\/2*x**2 - 3\/4*x - 3\/2 = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.187993 litres in millilitres?\nAnswer: 6187.993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/9 - -1 - 8\/6. Suppose -5*f - 4*u + 29 = y, 2*f - 8 = -u + 3*u. Suppose c + 288 = -w + 5*w, f*c = 20. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p + 5*o = 23*p - 20, 5*o + 20 = -5*p. Which is bigger: -3\/5410 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5 = p. Let j = -0.042 + 4.842. Let o = j + -0.8. What is the biggest value in p, 0.2, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 1\/19, 1, 188?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 429053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9576026.\nAnswer: 2, 137, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0165 + 0.6535. Let a = 0.63699847 - l. Round a to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 86. Solve 0 = l - 4*k - 12, -2*l = o*l + k + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169 + 171. Put -32, 0.5, f, 1\/4 in descending order.\nAnswer: f, 0.5, 1\/4, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w - 3. Let a(z) be the third derivative of -z**4\/24 - z**3\/6 - 9*z**2. Determine -4*a(v) + l(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0 + 0 + 2 + 0 - 2 + 1 + 2 + (0 - 2 + 3)*(2 + 1 - 2))*((-2 - 2 + 3)*(3*o + 1 - 1) + 4*o - 4*o - 3*o)*(1 - 3 + 1) as f + r*o and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyuy when four letters picked without replacement from {y: 3, u: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 64. Let c be a(0). Let s = 3 - 0. Suppose -s*u = u - c. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + (-3 - 8) + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/78 and -35\/1362.\nAnswer: 17706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a meter in millimeters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/4108 and -61\/577174.\nAnswer: 1154348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2214 * 67883.\nAnswer: -150292962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 22 = -13. What is q rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -5, 688 in decreasing order.\nAnswer: 688, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 59*p**2\/2 - 52*p + 34. Differentiate d(r) with respect to r.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42\/(-4)*(-6)\/(-9))\/1. Let s be ((-525)\/20)\/j + (-1)\/(-4). Suppose 8*n + s = -4. Put n, 2, -3, 5 in descending order.\nAnswer: 5, 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 20, 28, 52, 98?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - k**2 + k + 1. Let i(w) = 51*w**3 - 177*w**2 - 2*w - 1. Let h(u) = -i(u) - 2*r(u). What is the third derivative of h(l) wrt l?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 = -45025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39521922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -692121 rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 9 + 14 - 2*b**4 - 4*b - 2*b**3 + 2*b**2 + 3*b**4 + 0*b**3 to the form p + h*b**2 + g*b**4 + o*b**3 + n*b and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.2, -0.03, 0.5, -27, -13221?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j**3\/2 - 24601125*j**2 + 7759173062466*j - 1193718350412 = 0 for j.\nAnswer: 2\/13, 630798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, 3\/847 in increasing order.\nAnswer: 3\/847, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 480104.\nAnswer: 960208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -2, -0.4, 107, -4?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**4\/4 + 2*m**3\/3 - m + 13. Suppose -t + 2*t - 15 = -4*c, t - 2*c + 3 = 0. What is the tens digit of o(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkt when three letters picked without replacement from {b: 1, w: 2, k: 6, h: 2, f: 2, t: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: 64 (base 9) to base 13\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 - 62*d**2 + 41*d - 14. Let a be v(20). Suppose -t - 2*t = -6. Solve t*x - a = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, n: 1}. What is prob of sequence ntt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 4652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*i**2*m**3 + 64*i**2*m + i - 2*m**2 wrt m.\nAnswer: 756*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 185, 4, 2, 1 in ascending order.\nAnswer: 0, 1, 2, 4, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.46 and 23197.\nAnswer: 57064.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18648 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2360*w**2 + 3927*w**2 + 2552*w**2 in the form m + l*w + j*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 33*c + 21. Determine i(4).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12627 + 12832.87. Let j = z + -208. Let d = 0.13 + j. Which is greater: d or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 24*f. Determine p(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 457*p**2 - 120*p - 11. Let d(r) = 457*r**2 - 103*r - 9. Let o(j) = 7*d(j) - 6*i(j). Find the second derivative of o(t) wrt t.\nAnswer: 914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214*o**3 - o + 917 wrt o.\nAnswer: -1284*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 785876 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/8 (b) 2087 (c) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 319402, 638815, 958226, 1277635, 1597042?\n\"Answer: -v**2 + 319416*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 494.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 133*w**2 - 415*w + 37351. What is i(132)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*419839.6\nAnswer: 1679358.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 - ((2 - 2) + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(4114) - 1*sqrt(4114))\/(sqrt(128)*1) + -5).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -109 + -5a4?\nAnswer: -6ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6724*b + 249*b**3 - 6724*b + (0*b - 2*b + 4*b)*(-3*b + 12 + 3*b**2 - 7 - 3) in the form q*b**3 + d*b + j + z*b**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from nnnmnennmnmnmmm.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 - -91. Let f be u*1 - (-81 + 5 + -7). Let l = f + -80. Solve -l*x = -3*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*g = 107, 0 = 2*c + g - 2*g - 225. Let f be (2 - c\/60)\/((-8)\/(-9)). Suppose 0 = -2*i + 5*i. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 12*k + 10. Let o be h(-10). Let f be 38\/4 - o\/20. Suppose -4*g - f*t = -8*t - 28, 28 = 4*g + 5*t. Solve -g - 1 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -27, -68, -125?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aan when three letters picked without replacement from nnhhnnnannnnna?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4264033.\nAnswer: 4264033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/56 + (16\/(-14))\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 - 7*j + 17. Let a be x(-8). Let o(u) = -u**3 + 9*u**2 + 3*u + 22. Is o(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 3.91?\nAnswer: 7.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -234*l - 130*l**2 + 234*l + (3 - 3 + 2)*(-l**2 - 3*l**2 + 2*l**2) + 2*l**2 + 2*l - 2*l.\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 183*j - 2364. Calculate y(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1520 divide 3522658310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l + 37*l - 22*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*k**4 - 8852*k**3 - 8818*k**2\/5 + 28312*k\/5 - 1416 = 0. Calculate k.\nAnswer: -885, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -0.751 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(-10)*k)\/k)\/k)**(-13\/6)*((k*k*k*k**7)\/k*k)\/(k\/k**(-22)*k*k) assuming k is positive.\nAnswer: k**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1575 and 53025?\nAnswer: 159075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 5 + -8 - -2. Suppose -a*f = -0*f + f. Solve -o = -2*m - 3, -m - m = f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 911794 and 1066.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101011010 (base 2) to base 7.\nAnswer: 20305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*c**4 + 281269*c**2 + 546*c**3 + 3*c**5 + 499*c**4 - 281269*c**2.\nAnswer: 3*c**3*(c + 1)*(c + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/9 - 2704*t\/9 - 45679\/9.\nAnswer: -(t + 17)*(t + 2687)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 17*l - 5 + 19*l - 3*l**2 + 0*l**3 + 8*l + 11*l**2. Let c be (-6)\/(-9) - (-50)\/6. What is m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 + 3 - 36*f.\nAnswer: -36*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -613\/16 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-154)*2*2\/((-32)\/12)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -r + 2*x - 2, 0 = 4*x - 16. Suppose 4*c - 893 = -3*m, r*m - 2*c - 588 = -c. Suppose 0*z + m = 5*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 87*g**5\/20 + 11*g**2 - 10*g + 2. Differentiate l(r) with respect to r.\nAnswer: 261*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w - 32. Let t(s) = -11*s + 64. Let z(x) = -3*t(x) - 5*u(x). Let f(i) = -2*i. Give f(z(g)).\nAnswer: 4*g + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 18*a**2 + 12*a - 62. Give b(-19).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 102469?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.01, 7, -0.1, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 5:53 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r. Suppose -z = -4*s + 4*z - 4065, -z - 3 = r. What is s rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23867?\nAnswer: 29, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**9\/5040 - w**7\/700 + w**5\/200 - 2*w**3 + 11. Let n(q) be the third derivative of x(q). Determine o, given that n(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**3 - r**2 + 8*r - 9. Let g(i) = i**3 - i**2. Suppose 5*c + 4 = -1. Let b(j) = c*h(j) + 6*g(j). Determine b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*c - 25 = -0*n, 0 = -4*n + 3*c + 37. Suppose -4*q + 53 = -11. Let y = q + -12. Solve 6*v + n = 4*v + 3*s, -5*s = -y*v - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724558 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-3)\/24)\/(150\/12 - 12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-1)\/(40\/(-15))). Let d be 46\/p + (-6)\/8. Which is the nearest to 2\/3? (a) -0.3 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36, 210.\nAnswer: -36, 4, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 3*w + 10 + 3 to d + k*w and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-5) - (-624)\/260. Solve c - 10 = -2*k, 19 + z = 2*k + 4*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaassaaaoaoaaapp. What is prob of sequence op?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 3*q**5\/10 + q**4\/12 + q**3\/6 - q. Let f be 10\/(-4)*(-12)\/(-15) + 1. What is r(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*w - 222*w = 72. Suppose 5*r - w + 29 = 0, -2*o - 5*r + 660 = 0. List the prime factors of o.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4205168 millilitres to litres.\nAnswer: 0.0004205168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(-2*1*sqrt(9)) + ((1 + sqrt(832) - sqrt(13))*2)**2.\nAnswer: 111*sqrt(13)\/2 + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3949.9688 rounded to the nearest 10?\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r - 6. Let h be v(-4). Suppose -h*w + 44 = 3*p - 0*p, 4*w = 5*p + 132. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 102 = 3*p, 5*t = 4*t + 3*p - 33. Let v be ((-4)\/24*t - 4)*16. Let a(b) = b - 2. Determine a(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*o**3 + 72*o**2 - 45*o + 6.\nAnswer: -3*(o - 1)**2*(11*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 16) to base 6.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.759 - 0.269. Let g = 1.59 - n. Let k = -0.2 - -4.2. Which is the closest to -1? (a) k (b) g (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10986825 and 0.3?\nAnswer: -3296047.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*v + 27*v + 35 - 4*v - 10*v as a + w*v and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) -1\/54 (c) -6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-562)\/(-3) + ((-16)\/(-6) - 2). Let m be (-47)\/n*8\/10. Which is the nearest to m? (a) 4 (b) -2\/7 (c) 0.2 (d) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 83*f**3 - 160*f**2 + 11748*f - 45504.\nAnswer: -(f - 6)**2*(f + 16)*(f + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109748588 is divided by 393364?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 933259565?\nAnswer: 933259565.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 176 = -5*i + 20, -3*u = -4*i + 154. What are the prime factors of (i\/(-6))\/(3\/(-9))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**3 + 28*l**2 + l. Let a(p) = 14*p**3 - 85*p**2 - p. Calculate -3*a(j) - 8*z(j).\nAnswer: -2*j**3 + 31*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 10542*i + 3*i**2 - 10611*i.\nAnswer: 2*i**2 - 69*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1038*r + 1 - 1132*r - 1.\nAnswer: -2170*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*v = -1059, 14 - 8 = 3*v. Let x = 1132 - m. What are the prime factors of x?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*i**3 + 97*h*i**2 - 4*h - 86 wrt i.\nAnswer: 6*h*i**2 + 194*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.119, -0.03, 5960?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13080 and 480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 2*g + 7. Let o be 4 + (-583)\/77 - (54\/(-21) + 2). Give c(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -34. Let s be a\/(-3) + (-4)\/6. Let m = s + 13. Calculate the remainder when m is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182*k**2 - 7803 + 7803)*(37 - 37 - 28*k).\nAnswer: 5096*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419 - 1427 = 142*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 8. Suppose y*f - 29 = 11. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/(-54) - 4\/18. Calculate the common denominator of 0 - 1 - (-84)\/(-80) and ((-151)\/(-18))\/(s + 3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*c - c. Suppose -c*i + 15 = -99. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7244754, -14489507, -21734260?\nAnswer: -28979013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s - 13*s + 351177 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*h - 238*h - 161*h - 182*h + 104*h.\nAnswer: -599*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127 and 92202.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/168 + 2\/(-56)*-781.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/7 + 600*r\/7 - 1144 = 0.\nAnswer: 14, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1)\/l)**(6\/13))**(-3\/10)*((l**2*l)**(-48))**50 assuming l is positive.\nAnswer: l**(-467991\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -363 - -366. Solve -10 = w + 2*f, y*w - w - 7 = 5*f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 7*i**2 - 5*i + 1. Let y(b) = -5*b + 1. Let j be y(-1). Let n be d(j). What is the derivative of 6 + 7*z - n + 0 wrt z?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.039 + 2.961. What is the closest to 0 in -2, b, -3\/2, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 2*h + 8*h + 3*h - 5*h**3 - 4*h.\nAnswer: -4*h**3 + 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n**3 - 66*n**2 - 70*n + 10. What is d(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-30)*14 + (-22)\/(-165). Suppose 3*j + 3*v - v = 19, -4*j = v - 32. Solve -2*l + 6 = -t*m, -2*m + 3*m - j = -2*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75022207?\nAnswer: 13, 17, 339467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3 + 1117*j**2 - 12987 wrt j?\nAnswer: 3*j**2 + 2234*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 180 = 8*x. Suppose 4*g + 7*w - 35364 = 5*w, 3*w = x. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 6. Let p(b) = -b + 5. Let u(g) = 5*a(g) - 6*p(g). Let r(y) = 12*y**2. Calculate u(r(x)).\nAnswer: -108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -75*w + 2. Suppose 3*u + 18 - 9 = 0. Let m be j(u). Suppose -5*i + 488 = -m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:22 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18074 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 - 344*x**4 - 7008*x**3 + 18304*x**2 + 61952*x = 0 for x.\nAnswer: -44, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3))**(2\/3)*(d\/(d\/d**(2\/3))*d*d*d)**(2\/9) assuming d is positive.\nAnswer: d**(10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29c7 - a5?\nAnswer: -2a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*m = 13, 0 = -5*a + 3*m - m + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00131870098 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5312 - 2784. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1884806 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -145*r**2 + 947*r + 102. Determine n(7).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = 2*c - 2710, -5*c = 2*a - 6799. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 10*n - 8*n - 105605, 0 = -4*n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 69. Let d be h(26). Let f(s) = -2*s**2 - 6*s + 14. Let x be f(6). Let k = d - x. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5092 is divided by 1222?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -0.3 (c) -1 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -662 or -718?\nAnswer: -662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m. Let t(r) = m - r - 1 + 1. List the prime factors of t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4334*m**4 - 16175 with respect to m.\nAnswer: -17336*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -403 - -415. Let p = -7 + 6. Calculate the remainder when 46 is divided by -2*(-3 + i - 1)\/p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 47*j**2 - 7*j + 205. Is w(-14) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 11*m + 305. Let h(x) = -x + 3. Let n(y) = -22*h(y) - 2*t(y). Let n(v) = 0. What is v?\nAnswer: -13, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1200 - -1195. What is the second biggest value in 1\/48, 3, f, -4?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.2 - 23. What is the second smallest value in 2\/7, 1\/6, d, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/450)\/2)\/((-30)\/(-75)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 312707765*h**3 - 1055*h**2 - 72555*h wrt h?\nAnswer: 1876246590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.76 + 45.76. Which is the third smallest value? (a) -2 (b) m (c) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 6*u + 4. What is the remainder when ((-2)\/(-5))\/(-1) + -1776*(-20)\/300 is divided by s(4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + -2*-3*sqrt(85))\/sqrt(5).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539 and 290829.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2177 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.846 to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5*d - 2796 = -0*t - 2784, 0 = -t - 22*d - 65 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -82.46 and -15.\nAnswer: -97.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.3 and -6.6.\nAnswer: -94.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 3*j - 3. Determine g(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*r = 1819 + 2773 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 65*18\/351 + -5\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6560441497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 - 6*z\/5 - 504\/5.\nAnswer: 3*(z - 14)*(z + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 2*a**2 + 3. Let m(h) = -3*h**3 + 3*h**2 - 4. Calculate -4*c(d) - 3*m(d).\nAnswer: d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7, -3 in increasing order.\nAnswer: -7, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 9)*(0 - 1 - -12). Suppose g = -q + 4*o + 6, 0 = 4*q - 2*o - 36. Which is greater: 13 or q?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 10 = f, 0*l - 58 = -4*f + 3*l. Let t = -10 + f. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*z - 6, -4*z - 461 = 4*p - 449 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 299893644 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o + 17. Let c = o + -9. Calculate the least common multiple of c and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1007*x**3 - 27188*x**2 + 3*x - 646. Calculate b(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2908902 is divided by 415557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1457.7072 rounded to 0 decimal places?\nAnswer: -1458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1319\/1140 + 116\/285. Which is the nearest to -5.1? (a) s (b) -6 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 54 = -3*b - 2*d, -72 = -4*b + 4*d. Suppose -c - 3*u + 116 = b, -4*u + 352 = 4*c. List the prime factors of c.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10221 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/(-4) - 2\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29507007 by -87.\nAnswer: -339161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-28)*4*(2 + 5). Let l be (6\/(-4))\/(3\/r) + 2. Let a be (0 - 0)\/((4 + -3)*l). Solve a = -3*g - 4 + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91976891 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxpxoz. What is prob of picking 1 x and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 112. Give j(22).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4295, 3\/4, 4 in descending order.\nAnswer: 4295, 4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128788376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109097 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 2*j + 18, 127 = -2*t + 4*j + 119 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -14. Let m = k - -11. Differentiate 19*t - m*t - 6*t + 4*t**4 - 6 wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 10:05 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 95.7542796s?\nAnswer: 0.000158323875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 112, -3, -19, -2 in increasing order.\nAnswer: -19, -4, -3, -2, 3, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 31 - 139. Let g = -4 - i. What is the remainder when 27 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Suppose 0 = -5*t + t + n. Let z be (30\/(-21))\/(t\/(-7)). Calculate the highest common divisor of 60 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1261, 2523, 3785, 5047, 6309, 7571?\n\"Answer: 1262*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - r**3 + r**3 + 46*r**2 - 46*r**2 - 3*r**3 + (5*r**3 + r**3 - 5*r**3)*(2 - 4 + 0) in the form v*r**3 + d*r**2 + l*r + u and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 1358?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8.1, 0.5, 0.4 in increasing order.\nAnswer: -1, 0.4, 0.5, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 411*o**2 - 305*o - 48. Let u(w) = 411*w**2 - 303*w - 54. Let j(c) = -8*u(c) + 9*v(c). Find the second derivative of j(m) wrt m.\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q - 58 - 6*q + 2*q**4 - 21 - 2*q**2 + 10*q as y*q**4 + i*q**3 + w + m*q + o*q**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11425 is divided by 5625.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-5\/7)\/v)*v*v**(-5\/13)\/v assuming v is positive.\nAnswer: v**(212\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neennne. What is prob of picking 3 n and 1 e?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 4. Let l be (-9)\/6*8\/(-3). Let f be d(l). Suppose f = -6*n + n + 175. What is the highest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1975 and 227045.\nAnswer: 89682775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/(6\/(-9))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/93702 and 137\/93702.\nAnswer: 93702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 6}. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 625 = -5*j, -2*k = 24 - 16. Let n = 137 + j. Solve -n*c + 10 + 14 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z. Suppose 3*n - 4 - 38 = z. Calculate the highest common factor of n and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -817*a - 817. Let c be u(-1). Solve c = 27*r - 49*r - 44 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u - 6. Suppose 4*y - x + 5*x = 56, 0 = 5*y + 3*x - 62. Is q(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**2 + 11*r**2 - 18*r**2 - 3 + 5*r**2 to m + l*r**2 + s*r and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39430 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 461170 and 493270?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -3*p - 7\/2*p**2 + 0 + 1\/3*p**3. What is the tens digit of v(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653196 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/((-3)\/((-11)\/(-11))))\/(3\/21*-1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2. Let f(x) = 419*x - 22*x**2 + 78*x**2 - 419*x. Determine f(v(u)).\nAnswer: 224*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(6\/11))**(-2\/13)*k**(-3)\/k*k*k**(-10) assuming k is positive.\nAnswer: k**(-1869\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) -11 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 16 = -4*n. Suppose 0 = -4*l + 4*p + 216, 5*p - 5 = n*l - 219. Let z = l - 18. Calculate the remainder when z is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 61 + 49 = 0. Suppose -5*t + 4*n + 115 = 0, -m*t - 3*n + 11 + 58 = 0. Let i be (t - 28) + (-1)\/(-2). Is 22 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 4*s - 4. Suppose -s*w = -5 - 5. Which is the nearest to -1\/4? (a) 0.3 (b) 1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * -3.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 587 - 2393\/4. What is the common denominator of m and -1\/564?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829257.8 litres in millilitres?\nAnswer: 829257800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.4, 4005, -2, -2\/5 in decreasing order.\nAnswer: 4005, 2.4, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -27*x**2 + 13*x + 13. Let i(z) = 7*z**2 - 2*z + 2. Let k(u) = 2*i(u) + s(u). Let a(m) = -3*m**2 + 2*m + 4. Give -9*a(r) + 2*k(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3550656748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/29*(-3)\/60?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -56. Let y = -18 + f. What is the remainder when (-1)\/3 + (424\/6)\/2 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 480*y - 1060*y.\nAnswer: -1540*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3176, -2949, -2722, -2495, -2268?\n\"Answer: 227*o - 3403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392 is divided by 154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 4544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49273089 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 493, 973, 1441, 1891, 2317?\nAnswer: 2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*v - 33, 0*t = -3*t - 4*v + 68. Solve -3*n + 7*n = -t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 2.9, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17563052 to the nearest 100000.\nAnswer: -17600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**6 - 42*b**5 - 1103*b**2 + 1 wrt b?\nAnswer: -1560*b**3 - 2520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -422*u**3*v**3 - 545*u**3*v**2 + 382*u**3 + 3*u**2 + 10 wrt v?\nAnswer: -1266*u**3*v**2 - 1090*u**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 7*h**6\/90 + 3*h**5\/20 + h**4\/18 + 26*h. Solve z(l) = 0 for l.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a. Let y(r) = -27155*r**2 - 6*r + 1. Give y(v(x)).\nAnswer: -678875*x**2 - 30*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 6 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.088, -2\/19, -6, -3, -4, 10, 1\/9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4022.564 millennia?\nAnswer: 4022564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/39*-27)\/((49\/(-14))\/(28\/(-16)))?\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -145. Calculate the remainder when ((-215)\/t)\/(82\/(-42) - -2) is divided by -1 - (19*-1 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(18\/(-6))\/((-12)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*u + 0*u = -25, 3*u = 4*h - 37. Suppose -3*r + 3*d = d + 10, 5*r = -2*d + h. Solve 5*b - 3*v = 11, 3*b + v - 1 = -r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122467*k**4 + 83260 wrt k?\nAnswer: -489868*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116\/2112667 or 1?\nAnswer: -116\/2112667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 2*j**2 - 2*j - 3. Calculate g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 2*z - 1. What is w(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 18952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2457 and 68\/15?\nAnswer: 12285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-5 - (2 - 8)). Let n(o) be the first derivative of -2\/3*o**3 + 0*o**2 + 3 + s*o. Differentiate n(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19755 - 0.14755. What is the closest to 0.2 in h, -0.83, -5, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 3*t - 2. Let r be s(-4). Let f = -732 + 734. Is r != f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 2*k**2 + k + 1. Let o be f(2). Let x = o - 5. Let t(h) = 2*h**2 + 3*h. Give t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 11}. Give prob of picking 2 m and 1 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*o - 4*p, o - 21 = 2*o - 5*p. Suppose 2*s - o*s = -38. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36.9 + -33. Let n = -6.9 + t. What is the smallest value in 1\/7, n, 19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1269740 is divided by 211621.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + z**4 - 4*z**4 + 0*z + 0*z + 2*z**3 to s*z**4 + l + a*z**2 + c*z**3 + d*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232468.\nAnswer: 2, 89, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 14.6 (c) 13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:13 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 80. Let z be j + 0 + (6 - 11). Is z greater than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1140606, -1140578, -1140540, -1140492?\nAnswer: -1140434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 26. Let v = n + -7. Suppose 0 = -4*k + 3*a + 1, -3 = -v*k - 4*a + 29. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8 + (-82)\/4. Let u = r - -5. Is 0\/(-2) - -1 - u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 12:55 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - (3 + (5 - -5) - 5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -16 - (-76)\/133*133\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggggogg.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = 3*d. Let v be 0 - (-5)\/(10\/d). What is the highest common factor of 12 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*i - 9. Suppose -2*l = -4*d - d - 10, -4*d = 0. Suppose i*o = -3*g + 15, 0 = 3*o + l*g - 29 + 10. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10353.\nAnswer: 3, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 41922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 + -115. Let v = -4860\/17 - d. Let w = 1170 - 1171. Which is the closest to w? (a) 0 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194729\/28300 - 172\/25. Let j = k - 16987\/7924. Calculate the common denominator of j and -25\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 1612, -4, 0, -2\/11?\nAnswer: 1612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 7:49 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 188*k + 1494. Determine q(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/33 and -55\/378.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 54 = 2*k + x, 2*x = 4*k + 90. Let g be 2 - (-7)\/6 - 2\/12. Suppose -4*p + 14 = -v - 5*p, -g*p = 4*v + 60. Are k and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - x + 1891, -4*p + 6*x - 2513 = 3*x. Let l be p\/(-24) + 5\/(15\/2). Is 26 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.2 less than -8?\nAnswer: -50.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-1 - 18) - (-9)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.03 (c) 11125366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14918.\nAnswer: 2, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*z + 28, 0 = -3*z + 2*j + 3*j - 8. Calculate the smallest common multiple of z and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11364969 by -1623567.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -15*a - 1. Suppose 108*y + 23*y - 16320 = -39*y. What is the remainder when y is divided by v(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**4\/15 + 6*j**3 - 238*j**2\/15 - 174*j\/5 - 38\/3 = 0. What is j?\nAnswer: -1, -1\/2, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 36748.56cm?\nAnswer: 367485600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 174 = -183 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*r**6 - 479*r**4*y**2 - 2*r**2 - 96079*r*y**2 wrt r.\nAnswer: 2280*r**3 - 11496*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/8957205 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -5*u - y, -4*u + 2*y + 7 = -y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13.857927 times 75\nAnswer: 1039.344525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 15*a + 61. Determine r(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -204.\nAnswer: -204.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40101147, 2, 4, 2\/7.\nAnswer: -40101147, 2\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 4, 32, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-3)\/(-4)) - 0. Suppose -11 = y*j + 5*u + 1, -4*j = 2*u. Factor -1\/4*m - m**j + 0.\nAnswer: -m*(4*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 + 4*s**2 + 2*s - 2. Let k = -6 + 8. Suppose 5*x + 16 = -k*z, 3*x - x + 3*z = -13. What is the units digit of q(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11793 and 38.\nAnswer: -11755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 12 = 2*w, 0*z + 12 = -z - 5*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 1509*a**8\/56 - 1325*a**4\/12 - a - 7. What is the third derivative of v(m) wrt m?\nAnswer: 181080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52611, 105222, 157833, 210444, 263055?\n\"Answer: 52611*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -338*r - 7. Let b be m(-5). Suppose -b = -26*z + 15*z. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -32.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*f - 342*f - 12 = 2*l, 2*l = -2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 4*s + 18. Let d(a) = -a + s*a + 0*a + 0*a. Let x(y) = -2*y. What is d(x(h))?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 2*y**2 - y + 2. Let g be 35*((0 - -1) + -3). Let j be (g\/8)\/(-5)*-4. Let s be (-2)\/7 - (-12)\/j. Give f(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v**3\/5 - 137858*v**2\/5 - 8757084*v\/5 + 692208\/5 = 0.\nAnswer: -1748, -66, 3\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**3 - 787*x**2 - 1096*x - 632. Determine z(-156).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 549272*d\/9 - 5859584\/3.\nAnswer: 2*(d - 32)*(d + 274668)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/57 and 143\/1662.\nAnswer: 31578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.07, 0.1 in decreasing order.\nAnswer: 2\/7, 0.1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + 21 + -4 + 1. Let v be (2\/10)\/(28\/700). Suppose v*r = j + 26. Solve r*y = 6*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2345158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 5 + -4 + (-53)\/(-1). Calculate the highest common divisor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -43031101?\nAnswer: -43031102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o - 41*o - 18*o + 79 = 269 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*g - 77922 = 1177*g + 1125*g for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7514760 + 7514761.29999856. Let l = 1.3 - c. Round l to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f**3 + 554940*f**2 - 776955*f + 221990 = 0. What is f?\nAnswer: -22199, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-1\/5)\/k)\/k)**(-20) assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 360\/7 - (-328)\/574. Let z(f) = 129*f + 2. Let r be z(2). Suppose 2*q + r = 2*j - 3*q, 260 = 2*j - q. Calculate the highest common factor of g and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s + 25. Let a = s + 20. Suppose 0 = -2*w - 5*j + 19 + 7, -2 = 2*w - 2*j. What is the highest common factor of a and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:20 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-39)\/(-21))\/((-6)\/28). Suppose -r*h = -7*h + 330. Round h to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/18 + 32\/(-6). Let a be l\/21*(-11 - 3). Suppose a*u + 3 = 3*u. Is -3 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.7? (a) 5 (b) -0.2 (c) -4 (d) -37\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/8 + 9*f**3\/8 + 27*f**2 + 66*f.\nAnswer: -3*f*(f - 11)*(f + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 13 + -6 - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 26 - 1 = 2*h, 5 = -d - 5*h. Let u = 7 + d. Suppose 1 = u*o - 7. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*g + 82*g + 36 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 28*t + 112. Determine p(-25).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 + 3 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-4)*6\/(-21). Let q(y) = -7*y**3 + y**2 - 1. Let r be q(w). Is r less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 + (-9 + 12 + 4 - 13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -49. Suppose 4*r - y + 2*y - 4 = 0, -5*r = -5*y + j. Let n be r\/(1 + 2 + -2). Solve -18 = 5*b - 2*q, n = 2*b - 0*b + 2*q - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615533991.\nAnswer: 3, 4093, 50129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:43 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*9\/(45\/(-52)). Let l(g) = -55 - p + 112 + g. What is l(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358139008 divided by -4?\nAnswer: -89534752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 346764*r**2. Let d(p) = -7*p. What is d(z(s))?\nAnswer: -2427348*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*m - 2*m - 3*m)*(-m + 0 + 0) + (-m**2 - 2*m**2 + 2*m**2)*(-1 + 3 + 0) - 4*m**2 + 4*m**2 - m**2 + (2*m - 2 + 2)*(2*m + m - 2*m).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(((-27)\/6)\/3). Find the third derivative of 2*o**2 - 3*o**2 + 3*o**2 - 3*o**s - 6*o**3 wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5 + 200*k**4 - 1660*k**3 - 20680*k**2 - 29440*k + 51584 = 0. What is k?\nAnswer: -4, 1, 26, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 8 + (4 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 268\/1404 + (-170)\/1105.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19852149, 39704308, 59556467?\n\"Answer: 19852159*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = -37 + 65 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:01 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1766 - -7139\/4. What is the common denominator of x and 81\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.74 + -0.14. Let w = u + -5.6. Which is the third biggest value? (a) 1 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 159. Solve 5*z + 0*z = 3*y + 31, t = 5*y + 4*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3471 is divided by 230.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let z(u) = 4*u - 3*u - 2*u. Determine b(z(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -15*(115\/(-25) - -4). Calculate the greatest common factor of 369 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -66 in increasing order.\nAnswer: -66, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 11:20 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.202673+0.1\nAnswer: -0.102673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -639*v + 61218. What is n(96)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3888)*1 + -5 + sqrt(3888)*2)*2)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)\/sqrt(7) + 5)*-1 - (sqrt(11) - (2 + sqrt(704)) - -2*sqrt(55)\/sqrt(5)))**2.\nAnswer: -24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268615.\nAnswer: 5, 31, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - ((3 - 11) + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h. Let j(p) = p**3 - 2*p - 2. Let u be j(-2). Let i = -4 - u. Let q(d) = i*d**2 + 0*d**2 - 4*d**2. Determine q(b(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 27, 93, 211, 399, 675, 1057, 1563?\nAnswer: 2211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 53970.\nAnswer: 215880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -821\/1566, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635632 is divided by 630.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 69*h**2 - 1\/40*h**6 - 19\/8*h**4 + 0*h + 0 + 6*h**3 + 2\/5*h**5. Factor y(j).\nAnswer: -3*(j - 4)*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 - -177. Suppose -1\/2*b + 1\/2 + 1\/2*b**3 - 1\/2*b**z = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3920\/71 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4824.826906 to the nearest 100.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*h = -800773 - 3839324. What are the prime factors of h?\nAnswer: 53, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 14. Let t be l(12). What is the remainder when (t - 16)*2\/(-2) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(40\/12)*52\/117?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167145\/3039 - (-1 + 98)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1524 - -1525. Solve -2*d + 5*w + 15 = -3*d, -d - w = -n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awwwoaawwakwwkawoa. Give prob of sequence akka.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 291 = -5*l, 0 = 3*l - 3*w - 189. Let s = l - 22. Let p = 14 - -5. Calculate the remainder when s is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 8:02 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 74*u + 22. Let d(l) = -3*l**2 + 185*l - 54. What is -13*b(t) - 5*d(t)?\nAnswer: 2*t**2 + 37*t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5\/7 - 808*g**4\/7 + 5718*g**3\/7 - 2108*g**2 + 16424*g\/7 - 6576\/7 = 0.\nAnswer: -411, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7530, -7502, -7474?\nAnswer: -7446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 9. Let i(w) = -w**2 + 8*w + 7. Let t be i(n). Suppose 2*k = -t - 3, 3*k = -3*s - 24. Sort s, 1, 4 in descending order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 2. Suppose -m + w = -3*a + 58, -2*m = -2*a + 42. What is the remainder when 37 is divided by (-114)\/4*a\/(-24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 59. What is the remainder when 102 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*p + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + 0. Let g be (24\/(-33))\/(-4) - 100\/s. Which is the fourth smallest value? (a) g (b) 0 (c) 1\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 11772*r - 11548332.\nAnswer: -3*(r - 1962)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 37*z**2 + 2*z + 74. Let b be f(-37). Let l be (-285)\/632 - 45\/(-120). Is l < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 9*m - 5. What is b(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -594 + 41*b + 148 + 152 + 151 + 144. Give a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 64 + 66 - 259 + 2*v + 52.\nAnswer: 2*v - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**2\/7 - 867*m\/7 + 12078 = 0?\nAnswer: -366, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a**2 - 162*a + 5100. Is 13 a factor of p(55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/2, 980, -44, 3, -2, 5.\nAnswer: -44, -3, -2, -1\/2, 3, 5, 980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148526, -148537, -148548?\nAnswer: -148559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 16*s**2 + 5*s + 19. Let i = 37 + -22. Let x be r(i). Calculate the highest common factor of 29 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + p = 8, -7*h + 9*h - 4*p + 18 = 0. Let a be 25\/20*(-16)\/h - -2. Find the second derivative of -7*s - a*s**5 + 30*s**5 - 13*s**5 + 3*s wrt s.\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 26454.\nAnswer: 105816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2308188.\nAnswer: 2, 3, 23, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 65.\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 30 - 17)*(3*s**2 - s**2 + s**2).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3240 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 6*j**2 - 3*j + 4. Let s(y) = 3*y**3 + 6*y**2 - 3*y + 5. Let l(r) = 4*h(r) - 3*s(r). Let k be l(4). Solve 1 = -5*z + k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4023*j**2 + j**3 - 2*j**3 - 4023*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + 6*y - 2. Let n be c(-3). Let l = n - 1. Calculate the remainder when l is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 9*p**2 + 31*p + 65. Determine g(-11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*y = -101*y - 4226. Is 44 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microgram in nanograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**3 + 81*m**2 + 64*m - 25. Determine l(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - p - 63 = 0, -3*c - 4*p + 24 = -0*c. Let y = -2 + c. What is the remainder when 29 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890207 to the power of 1\/2, to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 10*z**2 + 13*z + 13. Give g(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 30*x**5 - 73808*x**4 + 13499662*x**3 + 37529996*x**2 - 14555992*x - 10961328 = 0.\nAnswer: -3, -2\/5, 2\/3, 202, 2261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192)*3 + 3)) + 4*(0 + sqrt(192)))**2.\nAnswer: -96*sqrt(3) + 777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 + 116*r = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 11*x**2 - 21*x - 17. What is n(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4029 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 29 + d + 30*d)*(0*d - 5*d + 3*d)*((-1 - 1 + 6)*(-d + 2 - 2) + 2 - 2 - 3*d) in the form x*d**3 + t*d**2 + s + j*d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1715 + -1707. Suppose -2*m + 57 = -m - 5*z, -3*m = -2*z - 106. Suppose -h + m = g. Calculate the greatest common factor of h and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.42 + -1.22. Sort 1, b, -0.04 in decreasing order.\nAnswer: 1, b, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -133, -327, -605, -967, -1413?\n\"Answer: -42*q**2 + 16*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40947 - 1?\nAnswer: -40948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*x**4\/7 - 40308*x**3\/7 - 5608551*x**2\/7 - 2103336*x - 7334820\/7 = 0. Calculate x.\nAnswer: -4335, -141, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*z + 2*t, 78 - 100 = -2*z + 3*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -67193000 rounded to the nearest 100000?\nAnswer: -67200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h**2 - 214*h + 28. Let p(r) = -9*r**2 + 215*r - 26. Let n(i) = 13*o(i) + 14*p(i). Factor n(g).\nAnswer: 4*g*(g + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51161602?\nAnswer: 2, 17, 37, 67, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807739017?\nAnswer: 3, 211, 1276049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -31242*i**2. Let k(f) = -3*f. Calculate w(k(l)).\nAnswer: -281178*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r**2 + 234*r - 1272. Give q(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 6*l**2 + 5*l - 7. Calculate t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/((-4)\/6). Let x be (-2)\/1 - 10\/b. Let d = x - 5. Solve -2*m - d = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6960 - 6955. Let b = -20 + 42. What is the remainder when b is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 137, -11, 3\/8, -4, -28\/9, 2?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from mgggz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*x**3 - 143*x**2 + 143*x**2 + 14 with respect to x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(2\/(-9)*15)\/1. Which is the second biggest value? (a) 2 (b) -1\/7 (c) -8 (d) s (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 7. Calculate a(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -d - 13, -371*l + 376*l - 5 = 3*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4029545 and 0.3?\nAnswer: 1208863.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 24*r - 504 = 0. What is the remainder when 208 is divided by r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1233 (b) 24 (c) -0.5 (d) 4 (e) 1\/19 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7283070 is divided by 9977.\nAnswer: 9837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042303334 (base 5) in base 14?\nAnswer: 7cc5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.08, -2, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.24 + -0.34. What is the nearest to 1 in -2.1, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e8 + 4?\nAnswer: -4e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 6. Let b be p(-7). Let z = 5 + b. Let s be (-10)\/z*(-4)\/5. Solve -18 = -3*c - 3*k, s*k - 19 = -5*c + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4)*(160\/6)\/(-5). Let y be (p\/(-6))\/((-6)\/36). Which is smaller: 7 or y?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166650131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/2 + 93*y**2 + y\/2 - 93 = 0.\nAnswer: -1, 1, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466042 is divided by 5492.\nAnswer: 4714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 12*c**2 - 8*c - 232*c**3 + 20*c - 230*c**3 + 459*c**3 - 3*c**4 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -620 + 3?\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*h, -117*v - h = -115*v - 22. Let i(m) = m - 6. What is i(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57 + 20 - -153) + -11 + 1. What is the greatest common factor of o and 4240?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/2)\/(o\/(o*o*o*o**(-10)))*(o\/(o*o**(1\/11)))\/(o\/o**8*o) assuming o is positive.\nAnswer: o**(-79\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/(13115\/(-86))*-1*15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 75*d - 1350. Calculate j(90).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**2 + 243*w + 16516. What is c(-36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73 + -5?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = 3*c, 5*t - 14 = 12*c - 9*c. Sort c, 5, -1, -8.\nAnswer: -8, -1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1641996 by 34.\nAnswer: 48294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f - 10 = c, 0 = -3*c - 12. Suppose -30 = 9*r + 6. Put f, r, 0 in descending order.\nAnswer: 0, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 3 + -21 + 19 + -3 + 96 + -3?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 0.03, -1\/2 in decreasing order.\nAnswer: 0.03, 0, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -17, -24, -29, -32?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 9:07 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*w + 1594, -7 = 2*h - 1. Let k = -310 + w. What is the lowest common multiple of k and 281?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 7:48 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(3 + -1) - 955. Let m = -394 - b. Round m to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**3 + w**3 + w**3)*(2 - 2 + 2*w) + (3*w**2 - 3*w**2 - 2*w**3)*(-3*w + 4*w - 4*w) + 3198*w**2 - 3198*w**2 + 600*w**4.\nAnswer: 596*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4056172 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z - 100. Let n(a) = -a. Calculate -l(r) + 3*n(r).\nAnswer: 3*r + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z. Let i(b) be the third derivative of 1\/8*b**4 + 0*b**3 + 0 + 0*b - b**2. Let q(l) = 9*i(l) - 2*n(l). Give q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640713941.\nAnswer: 3, 60767183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3806 = -1019*g - 597*g - 22942 - 2340 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 19*l + 54. What is g(-5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-1 + sqrt(1584) - sqrt(1584) - sqrt(1584)) + 1)*-4)**2.\nAnswer: 1536*sqrt(11) + 25600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 6. Let o(i) be the second derivative of i**4\/12 - 5*i**3\/6 - 12*i**2 + 36*i - 3. Give -9*m(c) + 2*o(c).\nAnswer: 2*c**2 - c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 2. What is v(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -7. Let s = 8197 - 8181. What is the remainder when s is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {x: 2, m: 2, u: 5, h: 1, q: 1, v: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/24 + b**3\/2 + 2*b**2. Let i(j) be the first derivative of 3*j**2 - 16*j - 12. What is 3*i(y) + 16*o(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -256*q + 19. Is b(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 26. Let t(s) = 2. Let y(r) = l(r) + 4*t(r). Let m be y(0). Suppose 38*o = m*o + 724. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + q + 18 = 0, 41529*q = -2*p + 41525*q - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98343876 to the power of 1\/2, to the nearest integer?\nAnswer: 9917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*k - 11, 126*m = 122*m - 3*k + 13. Let x(i) = 11*i**2 + i - 2. What is x(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5997 - 5997.14. Which is the nearest to -0.2? (a) 0.5 (b) 0.2 (c) 1\/3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197257 divided by 11.\nAnswer: 197257\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -181\/7, 3\/2 in decreasing order.\nAnswer: 3\/2, -4, -181\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148909 - -4648.\nAnswer: -144261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -4. Let v = d - 13. Suppose 0 = v*h + 37 - 91. Solve 5*s - h = -l, 2 = -3*l + 2*s - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 106*x**3 + x**2 + 1. Let h(n) = -2*n**3 - n**2 - 3*n. Give -h(r) - z(r).\nAnswer: -104*r**3 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148184*v**2 + 193*v - 1 - 148183*v**2 + 1.\nAnswer: v**2 + 193*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*b - 15, -a - 21 = -4*a + 3*b. Suppose -12 = -h + 5*u, -a*u + 3 = h + 1. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8125 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 3*d**2 + d**3 + 12*d**2 + 1 - 2*d**2. Let t be m(-5). Let k be (t\/(-12))\/(4\/(-6)). Solve -2*n + 3 = -k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 49*n**2 - 20*n - 18. Is t(-1) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 149, 334, 551, 800, 1081?\n\"Answer: 16*d**2 + 137*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1005\/(-6))\/((-3)\/6). Suppose -5*p = -3*p - d - 245, -3*p - 5*d = -f. Let c = -9 + p. What are the prime factors of c?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -9, -1805, 5 in decreasing order.\nAnswer: 5, 0, -4, -9, -1805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9408128 centuries?\nAnswer: 94.08128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b + 12. Let w be p(4). Suppose w = -26*c + 8 + 70. Factor -10\/3*z + 2 + 2\/3*z**2 + 2\/3*z**c.\nAnswer: 2*(z - 1)**2*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/20)\/(10\/8 + -1). What is the third smallest value in -1\/4, 3\/2, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11627 minus -433?\nAnswer: -11194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.038643798 - -12\nAnswer: 12.038643798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-432 - 1)\/(5*1\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2915 + 2777. Is -683\/5 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 2*w**3 + 0*w**3 + 5 to y + f*w**3 + c*w**2 + h*w and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13*k - 243. Calculate y(-14).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-6))\/5*-3. Let a be -1 + x - 0 - -2. What is the second derivative of a - 12*u + 14*u - 5*u**4 + 0 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787 = 3*u - 193. Let q be (-4 + 0\/(12 + -6))\/(4\/200). Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -6. Suppose -3*k = w*k. Suppose k = -4*m - 2*a + 94 + 2, -38 = -m + 3*a. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-32) + ((-279990)\/120)\/(-61)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*t - 44 = -l, l - 5*t = 44. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:47 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 48 = -4*r + 2*a, -3*a - 9 = 0. Solve h + r = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**6\/105 - 6*i**5\/35 + 29*i**4\/42 + 2*i**3 - 1072*i. Find q such that v(q) = 0.\nAnswer: -1, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (22 + -22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29062, 29083, 29104, 29125?\n\"Answer: 21*f + 29041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5056047 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 2*n - 2. Let x be -1*(-1 - (0 + 2)). Suppose -x*f = f - 12. Determine o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -7)*(-3 - 2\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 31 + 74. Suppose 2*o - u = 79. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - u - 2)*(u + 4*u - 6*u) - u**2 + 4*u**2 - u**2 + 21*u**2 - 7*u + 7*u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let b be (29\/116 - 1\/2)*-20. Suppose 74*a - 78*a + 25 = -b*k, -a + 4 = k. Solve g = f + 3*y + 11, 3*f + a*y = 5*f - 22 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 2*k + 2*k)*(-72 - 23 - 86)*(-2 - 1 + 2) to o*k + l and give o.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 2:23 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3077.\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (10 + -36 - (13 - 3))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a - 12. Solve -m = m + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*q - 165. Let l = 62 - q. What is the third derivative of 29*v**2 - 160*v**2 + 36*v**2 + 60*v**l + 39*v**5 wrt v?\nAnswer: 2340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401375\/143 - ((-2)\/11)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/3 + a**2\/2 + 40*a + 13. Let r be d(0). Calculate the greatest common factor of r and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1096659255 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -8 (c) -4 (d) -0.3 (e) 0.218 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -3, 180, -108 in decreasing order.\nAnswer: 180, 0, -3, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - j. Let s(k) = -84*k**2 + 84*k. What is 168*i(a) + 2*s(a)?\nAnswer: -336*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 58*b - 245. What is the thousands digit of l(38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + (-14319)\/(-185) - (-8)\/(-10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.862 and 0.4.\nAnswer: 1.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 58*m - 8. Let x be l(3). What is the units digit of (x\/8 - 2)\/((-5)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*v - 625, -5*v + k + 1032 = -2*k. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 19 = -4*a + 14, 3*a + k = -9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c + c**4 - 3*c**5 - 41 + 76 - 40 wrt c?\nAnswer: -60*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*t = t + 953, 2*t = 5*w - 2414. Let k = w + -442. What is the remainder when 246 is divided by k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1301*b**3 - 11*b + 1301*b**3 - 15*b**5 wrt b.\nAnswer: -300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -238, -360?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + 21*r - 261. Is h(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 11*u**3 + 3*u**2\/2 + u - 9. Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 22. List the prime factors of v + 0 - 3\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z, -3*h + 13 = -2*z - 4. Is h at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/11 or 3?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/6)\/((-15)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*c**2 - 17 - 2*c - 144*c**2 + c**3 to o*c + y*c**3 + j + s*c**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 7 = -f, -3*f + 4*j = 3*j + 47. Let v be (-3)\/(-2)*40\/f. Does 9 divide 1*6\/v*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -25*t**3 - 2*t**2 - 9*t - 5. Let m be v(-4). Is m + (20\/1)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*n + 24 = -6*n, -5*i + 4*n = -30. Let r be 2\/i*372\/8*2. Is r equal to 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 459*g + 68. Let z(c) be the first derivative of 10*c**2 + 3*c - 264. What is -3*y(b) + 68*z(b)?\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 64 + 7 = 0. Let p = 35 + b. What is the greatest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -p + 2, -3 = -3*p - 3*u + 3. Let k = 16.1 + -0.1. Let q = -12 + k. What is the smallest value in q, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -83*s + 88*s. Let i be ((-12)\/s)\/(18\/(-120)). What is the fourth biggest value in -2, i, 4\/5, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(152)*3 + (3*sqrt(152) - sqrt(152))*5)\/(sqrt(16)\/sqrt(8) + (sqrt(48) + sqrt(240)\/sqrt(5))\/sqrt(6)).\nAnswer: 44*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from immmyiimymimiimiqyqi.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058550105 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 31*v**2 - 12*v**2 + 15*v**2 to o*v + k*v**2 + z and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 167, 325, 477, 623, 763, 897?\n\"Answer: -3*f**2 + 167*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3357021 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: Evaluate -8 - (-1 - (-17 - -16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/100*(3\/(-2))\/(-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - -3 - 7 - (5 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*-3)\/(162\/27).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 13 (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**2 - r. What is the remainder when 33 is divided by y(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9869 - -9883. What is the second biggest value in w, -9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 65*u - 1. Let q(s) = 32*s**2. Determine q(m(j)).\nAnswer: 135200*j**2 - 4160*j + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -73, -203, -425, -739, -1145, -1643, -2233?\n\"Answer: -46*u**2 + 8*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 435.92308 - 0.282\nAnswer: 435.64108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -1545, -3557, -6395?\nAnswer: -10059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 44, -5, -14, 1, 12.8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3122282695?\nAnswer: 5, 7, 1820573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83838853 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -403?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 2 - 7*h + 0*h**2 - 6 + 0*h**2 to the form a + n*h + q*h**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1254927 and 19\/24519?\nAnswer: 13804197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 1. Let c be 1\/(-2) - (-9)\/(-6). Let q(u) = 3 - 24*u - 40*u + 53*u. Let z(b) = c*q(b) - 5*j(b). Find the first derivative of z(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343 smaller than 7342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n - 100. Determine j(9).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 5)*(2 - 2 - 3)*(-9 + 11 - 25)*(-2*k - 3*k + 4*k).\nAnswer: -69*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 + f**2 + 3*f - 4. Let y be n(-3). Let g = y + -34. Let j = -37 - g. What are the prime factors of j?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckew when four letters picked without replacement from {t: 1, e: 2, k: 1, c: 1, l: 1, w: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4535, -36758, -124107, -294146, -574439, -992550, -1576043, -2352482?\nAnswer: -3349431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = 4*f - 13*c + 124 - 128, -21*c = -4*f - 22*c - 28 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 771 - 772, m + 78 = -7*s for m.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 637903 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l - 1. Let c be q(0). Let u be (-8)\/(-28) - 29\/28. What is the second biggest value in u, -0.04, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/((-550)\/99)*-3*7\/189.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2453 and -3.3.\nAnswer: 8094.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b. Let n(r) = -51*r + 10 - 53 + 8 + 22 + 9. What is n(w(a))?\nAnswer: 102*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/42)\/(6*4\/(-12))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -75. Calculate the greatest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/20)\/(4\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*p**3\/8 - 2665*p**2\/4 + 8217*p\/8 - 1449\/4.\nAnswer: (p - 483)*(p - 1)*(11*p - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*g - 37915 = -37917, 3*g = -d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -0.4, 0.3 in decreasing order.\nAnswer: 3, 0.3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (3 - 0) - -1. Suppose 0 = -z*u - 4*u. Suppose -2*d + 3*n + u = -22, 5*n + 10 = -2*d. Solve -q + 2*s = -3 + 8, -4*q + 3*s - d = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.26 and -4.\nAnswer: -37.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 8 = 4*a, -3*a - 2*u - 2 - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from vttttttttttt.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*y - 6. Let w be 1*(y + -1 + -171). Let t = -39 - w. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -0.09255 (b) -1 (c) -0.5 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -0.11?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*f = 2*f - 2, 0 = -2*g - 4*f + 16. Suppose g = 4*s - 3*s. Factor -2*k**3 - 4*k**s + 26*k - 26*k - 2*k**5.\nAnswer: -2*k**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 677.5 + -677.61004. Round x to 3 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = u, 1221*o + 3*u + 35 = 1216*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83740.6*168.\nAnswer: 14068420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -29) + 1 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -188*b*d + b*s + d**3*s**2 + 6*d*s**2 - 2*s**2 + 9407 wrt d.\nAnswer: -188*b + 3*d**2*s**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -14*a**4\/3 - 25*a. Let x(f) = -f**2. Calculate k(x(v)).\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 491 = 32 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 29. Let l be (6\/c)\/(1\/(-5)). Suppose m - 31 = -l*d - 2*d, 4*d - 8 = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 3 - (2 + -1). Let q = -26.3 - -26. Put q, s, -3\/19 in decreasing order.\nAnswer: s, -3\/19, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.15853884 rounded to 3 dps?\nAnswer: 9.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003200 (base 4) in base 9?\nAnswer: 12481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3272*u**3 + 3*u**2 + 3. Let o(b) = -4*b**3 + b**2 + 1. Give 3*o(k) - s(k).\nAnswer: -3284*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2011492594041.00177 + -2011519818681. Let y = j + 27224846. Let m = 206 - y. Round m to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 - 210*l**3 - 414*l**2 - 206*l = 0.\nAnswer: -103, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3050.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctitpwwiwht. What is prob of sequence it?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4023\/5 + -36217\/45. Put -0.5, 5, t, -1, -2\/5 in ascending order.\nAnswer: -1, -0.5, -2\/5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 12.39?\nAnswer: 37.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.8. Let h = 2044 + -2039. What is the fourth biggest value in h, -1\/4, l, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 82755, -75 in ascending order.\nAnswer: -75, 5, 82755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*y + 126, -3*y - 5*a + 130 = 2*y. Calculate the remainder when y is divided by (-2)\/(-10) + (-192)\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 7*m**2 - 2. Let f be d(7). Put 5, 3, f in decreasing order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 5, c: 2, s: 1, l: 1}. What is prob of sequence sl?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 3\/11706106 in decreasing order.\nAnswer: 4, 3\/11706106, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/25, -0.5, 1\/5, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515, 452, 393, 338, 287, 240, 197?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.1. Let h = f + 0.1. Let a = 579\/7 + -83. What is the second biggest value in -3, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-45) + 3*(-87)\/(-81). Suppose -796 = -5*k - f + 111, -z*f = -4*k + 737. Let g = k + 53. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - sqrt(252)*1) - sqrt(63)) + sqrt(63) - (sqrt(2268) - (sqrt(2268)*2 + sqrt(2268))))\/((-3*sqrt(144) - sqrt(144))*3).\nAnswer: -7*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 divided by 1?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-10))**(-1\/9) assuming r is positive.\nAnswer: r**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -40 (b) 1.1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1039 - -0.0039. Let h(p) = -p**2 - 6*p. Let g be h(-5). Which is the third biggest value? (a) 2\/5 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 55. What is the least common multiple of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 79 + 11*q - 62 - 26 + q**2. Let y(g) = -8*g**2 + 0 + 9 + 4*g + g**3 + 2*g**3 - 2*g**3. Let c be y(7). Determine o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -381 - -382. Find the common denominator of k - (-65)\/(-55) - 3932\/(-1056) and -99\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711512 is divided by 518?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 + 6 + (-56)\/(-14))*(-2)\/(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - -1.4. Suppose -12*c = 3*c - 3450. Let y = c + -229. Sort l, y, -5, 0 in decreasing order.\nAnswer: l, y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 9971.\nAnswer: 139594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1352 by -8.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-2)*335872\/94208?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/3*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 smaller than 658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 903559704 to the nearest integer?\nAnswer: 30059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, -34, -118, -276, -532, -910, -1434, -2128?\n\"Answer: -4*x**3 - x**2 - 3*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -2\/3 (c) -4 (d) -70679 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*y - 60, -2*q + 4*y - 1 = -37. Suppose 3*o = 17 + q. Is (-3832)\/(-72) + (-2)\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 18*z**2 + 12*z + 136. Let x be w(19). Suppose 0 = o - 3 + 2. What is the tens digit of x\/(o + -4) - -68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 855949 = 7334559. Suppose 3*m = -363017 - k. Let f = m - -1403548. Round f to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8356 divide 116784128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) 5 (b) -0.064 (c) -7\/9 (d) 0.2 (e) -0.3 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) - (sqrt(405) - (sqrt(405) + -1))) + sqrt(405))*5 - sqrt(405) - (3*(sqrt(405) - 2*sqrt(405) - sqrt(405)) + sqrt(405)))**2.\nAnswer: -1260*sqrt(5) + 79405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*r**3 + 14*r**3 - 45*r**3 + (-r + 2*r**2 + r)*(-3*r - r + 5*r).\nAnswer: -51*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 16*t - 416. Let g be n(27). Let u be ((-6)\/5)\/((-10)\/1200). Calculate the highest common factor of u and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38555*u - 38553*u = 5*w + 13, -u - 13 = 4*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*r = -10, -8*m - 4*r = -4*m - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 2. Let x be k(-6). Let l(p) be the third derivative of p**4\/24 + 3*p**2. Let s be l(x). Is 2 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1\/8, -32378, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = 0, 2*q = 3*q + k - 13. Solve -q*p = 17 + 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 224?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6\/11)*u*u**(1\/7))**(-3\/8)*(u*u**0*u)**9\/(u**(2\/11)\/((u\/(u*u\/(((u*u*u*u\/u**(4\/3)*u)\/u)\/u)))\/u)) assuming u is positive.\nAnswer: u**(31205\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssz when three letters picked without replacement from szzzs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136\/(-140) - 182\/(-130) - (-1207432)\/28.\nAnswer: 29, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/24009 and 5\/25281.\nAnswer: 3817431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hahawwxbabbhhhwai. What is prob of sequence hxa?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13.2, -28 in descending order.\nAnswer: 13.2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 758681.469934 + -758680. Let o = g + -1.47. Round o to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 303?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/244 (b) -2811 (c) 1\/12 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*r - 7828 - 16187, r = -q + 4805. Suppose -741 = -j + 3*h, -5*j + q = -4*h + 1106. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 5*x**2 + 6*x + 4. Let z(c) = 3*c - 6. Suppose -y + s - 4*s - 5 = 0, 4*s + 32 = 5*y. Let h be z(y). Calculate k(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*n*p**5 - 663854*n*p**4 + n*p - 2*n - 3*p - 218975 wrt p?\nAnswer: -220*n*p**3 - 7966248*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 289*z**2 - 2485*z. Let i(f) = 2*f. Determine l(i(a)).\nAnswer: 1156*a**2 - 4970*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(1\/31)\/((g**(-1)*g)\/g**(-5))*g**(-3\/5)*g*g*g\/(g**(2\/9)\/g)*g*(g**0*g)**38 assuming g is positive.\nAnswer: g**(51818\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28023584 * -0.8.\nAnswer: 22418867.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 7*m**2 + 165*m - 973. Give u(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((-32144)\/(-182) + -177)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402182, -402190, -402198, -402206, -402214?\nAnswer: -402222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -0.1, -0.03 in ascending order.\nAnswer: -0.1, -0.03, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 15*d**2 - 1. Let a(z) = 2*z**2. Determine a(y(v)).\nAnswer: 450*v**4 - 60*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/2)*l**(-4))\/((l\/(l\/l**(2\/7)))\/l**(-7))*(l**(-6)\/l*l**(-1\/4))\/(l**(-4\/7)*l*l**(-1\/8)*l) assuming l is positive.\nAnswer: l**(-1027\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 626 = 4*y, 4*a + 822 = 5*y + 32. Calculate the remainder when y is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 - 120080832*h\/5 + 901212888363264\/5.\nAnswer: 4*(h - 15010104)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 10*g + 726 = -8*g, d + 5*g = 159. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-316)*2*6. Let q = p - -131\/711. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45517.71 centimeters in meters?\nAnswer: 455.1771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 466.4 - 466. Which is the smallest value? (a) -3 (b) 8 (c) -2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -u + 2*u. Let l = 1 + u. Suppose q - 165 + l = -3*m, 33 = m + q. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**17*t)\/t**(-1\/17) assuming t is positive.\nAnswer: t**(324\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1fa (base 16) in base 9?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1452)\/(-16) - -1) + (-2)\/(-8).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/117)\/(-5 - 133\/(-21)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -17. Let u = -4 - n. Suppose 12 = 3*d - 4*f, 3 = -3*d + 2*d - f. Solve 5*h + 4*y - 4 = d, 0*h + u*h - 2*y = 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 1. Suppose 2*x = 4*u - 10, 0 = 3*u - 7*u - 3*x + 35. Suppose 2*f = 2*o + 10, 2*f + o = u*f - 11. Let m(k) = -3*k - 2. Give f*m(h) - 7*d(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/7)*k)\/((k*k**(1\/5)*k*k)\/k)*(k*k\/k**(-1)*k)**(-18\/5) assuming k is positive.\nAnswer: k**(-506\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 5*w**3\/2 - w - 11. Let f(j) = -5*j**2. Determine b(f(a)).\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20321 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooqq when four letters picked without replacement from {c: 2, q: 2, o: 7}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -6*p**5\/5 - 7*p**3\/6 - 6*p + 7. Let t(b) be the first derivative of u(b). Find the second derivative of t(g) wrt g.\nAnswer: -144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113444 - 8?\nAnswer: -113452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6165\/(-137)*(-31)\/(-3255).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3\/611 (c) -0.6 (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*r + 25 = -36*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2350392, -4700841, -7051348, -9401913, -11752536?\nAnswer: -14103217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = -a, -a = -2*m - 3*m + 4. Sort -13, m, -4 in descending order.\nAnswer: m, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 479\/440 - -2\/55. What is the nearest to -1\/2 in 3\/7, s, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/69, 2, 333, -3?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-46)*(-1230)\/(-2870)*(-30)\/45\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -451 - 50077?\nAnswer: -50528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -20. Suppose -5*p = -v - 173. What is the remainder when p is divided by ((-26)\/6)\/(2\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, q: 1, t: 1, j: 1}. What is prob of sequence tj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g + 4. Calculate the lowest common multiple of g\/(-16)*6*(-24)\/4 and 163.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2357976\nAnswer: 1\/785992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((88\/(-10))\/((-201)\/(-335)))\/((-27)\/(-324)*-16)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1060450 to the nearest one thousand.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -820 - -788.13. Let o = -221.17 - u. Round o to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -21. Suppose -x = 4*d - 0 + 4, x + a = d. What is the second smallest value in -0.3, d, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 34 = -554*l + 558*l, 5*b - 320 = -30*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:32 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8527, -17210, -25869, -34492, -43067, -51582, -60025?\n\"Answer: 2*f**3 - 8697*f + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35614, -71230, -106846, -142462, -178078, -213694?\nAnswer: -249310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -h + 14. Suppose 0 = -2*z - z + 4*q + 1, -2*z - 2*q = -h. Factor z*l**2 + l - 2*l - 5*l**3 - l.\nAnswer: -l*(l - 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f**16\/f))\/f)*f**(1\/9))\/(f**(2\/23))**(-23) assuming f is positive.\nAnswer: f**(163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 + -2 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*b - 115, 3*w - b = w + 76. What is the least common multiple of w and 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04934 minus 1.0083393?\nAnswer: -0.9589993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11576980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 1299996.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7032 + 10208. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 1) + 7\/1. Suppose i = -6*g + 2*g + 15741, q*i + 3931 = g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c + 88 = 2*r, -r + 50 = c. Find the common denominator of ((-18)\/r)\/((-3)\/(-5)) and 125*(-2)\/24*2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 654 - -7. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*1\/4*-10. Let x = a + 7. Suppose -x*n = 21 - 59. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 4*v + 5 - 13*v**2 + 24*v**2)*(-2*v**2 + 3*v**2 + v**2).\nAnswer: 22*v**4 + 8*v**3 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*11\/(-44) + (-11)\/(-66)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.66 + -0.06. Let n = t + -0.598. Let p = n - 0.002059. What is p rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7805.5*9\nAnswer: 70249.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1014.1 + -1014. Let s = -2.6 - -1.6. Which is the nearest to u? (a) s (b) -1\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from {t: 3, w: 10, n: 1, i: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -774*v + 685*v - 1157 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {l: 6, x: 10, z: 1}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*b = -0*k + 35, 5*k - 5*b = -40. What is the units digit of (-36)\/(-14)*(4 - k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*i - 5, -2*i + 18 = -57*r + 53*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104282 divided by 23.\nAnswer: 4534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26739.74m?\nAnswer: 26739740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 15, -5*l = -4*p + 120 - 150 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1423548832 rounded to 3 dps?\nAnswer: 0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-42)\/(-8)))\/((-14)\/(-3))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361438 by -219.\nAnswer: -361438\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2101 (base 4) to base 3\nAnswer: 12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/65 and 111\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/45)\/(1\/(-9)). Suppose 79 = 4*m - 3*t - 184, 15 = -i*t. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572.66517 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i - 57*i = -5*h + 82, -3*h - 63 = -2*i + 5*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10300*g**5 - 2*g**4 - 13751*g wrt g?\nAnswer: -206000*g**3 - 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13024 is divided by 4327?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 20*h + 559. Let q(l) = -18*l - 527. Calculate -6*k(t) - 7*q(t).\nAnswer: 6*t + 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 4192.8\nAnswer: 419.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -0.3507?\nAnswer: 0.6493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*y**2 + 586 - 586)*(5*y**2 - 7*y - 3*y + 9*y).\nAnswer: 305*y**4 - 61*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.939 - -9320.\nAnswer: 9319.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 32*n - 7. Is m(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:58 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3 - 176*a**2 - 1846*a - 1672 = 0. What is a?\nAnswer: -76, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yssy when four letters picked without replacement from {y: 3, s: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(22\/8). Let c = 1.1 - -2.9. What is the biggest value in -1\/5, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37.499335 times -1\nAnswer: 37.499335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 52376?\nAnswer: 15712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -51*r**2 + 12*r - 7. Calculate a(2).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-420))\/1)\/((-24156)\/(-28182))\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/(2\/3). Suppose -3*z - 4*u = 24, 0 = -2*u - 6. Sort 4, f, z in ascending order.\nAnswer: z, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, j: 1, z: 2, q: 2, a: 1, u: 4}. Give prob of picking 1 v, 1 j, and 1 q.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2607019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4904707 divided by 10\nAnswer: -4904707\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 9:36 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232122?\nAnswer: 2, 3, 11, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-192)\/(-198))\/(-8))\/((-2)\/(-3)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 3. What is the tens digit of g(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102220222202002 - -11?\nAnswer: -12102220222201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 + x**2 - 6*x + 1. Let q be v(4). Let p = -92 + -19. Let l = p + q. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2250 = 5*j - y, 4*y + 2244 = 4*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 7. Let b be k(9). Suppose b*l - 4*w - 122 = 92, 4*l + 2*w - 398 = 0. Let n = l + -43. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68829.468 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 7 + 3 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.1. Let p = -16070.19 - -16070. What is the closest to z in p, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(-2 - 2 + 3) + 8 - 2 - 1)*((5*h**3 - 2*h**3 - 2*h**3)*(-h**2 + 4 - 4) - 2*h**5 + 2 - 2 + 5*h**5 - 3*h**5 + 3*h**5).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/7, 15.\nAnswer: -1, -2\/7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 80456896 - 0.4\nAnswer: 80456895.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**6\/200 - x**5\/100 - x**4\/8 - 3*x**3\/10 + 7*x**2. Determine k so that t(k) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 725 - 463. Let z = x + -267. Sort -2, -0.36, z.\nAnswer: z, -2, -0.36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.009 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 6*g - 8. Let j be a(6). Suppose -5*y = -j - 106. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 266*i**3 + 9 - 9 - 719*i**3 + (0 + 1 - 3)*(1 - 1 - i**3).\nAnswer: -451*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 135895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1122021?\nAnswer: -1122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(-68) + 1\/(4\/(-21)). Let h be 3\/((-45)\/12)*u. Solve h*k - k = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*d*t**2 - 3*d*t + 315759*d + 7*t**2 + 25011373 wrt d.\nAnswer: 25*t**2 - 3*t + 315759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*l - 38 = 0, -2*g + 2*l - 3*l = -97. What is the remainder when g is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Let y(g) = -32*g**2 + 41*g. Calculate y(k(h)).\nAnswer: -128*h**2 + 82*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 445.4 and -1383202.\nAnswer: -1382756.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3 - 4\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 20 = 2*x. Let n = -3 - x. Let y = -13 + 12.8. Which is the second biggest value? (a) n (b) y (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 386, 569, 744?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -462 (b) 479 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 - 14*t + 4. Let m(i) = -i**2 + i - 1. Let l(s) = -6*m(s) - w(s). Calculate l(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320 - 255. Find the third derivative of -c*p**2 - 56*p**3 + 0*p**2 - 34*p**3 + 10*p**3 wrt p.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 503528225\/1464 - 343940. Calculate the common denominator of a and -149\/36.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 9:55 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -0.2, 1\/7, -73, -2 in decreasing order.\nAnswer: 0.15, 1\/7, -0.2, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {z: 1, i: 1, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 130124210 (base 5) to base 12\nAnswer: 264662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65912 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from eererkreererkrkrreek?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*r + 26 = -569*r + 3*n, 4*r - 5*n = -38 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 4*i - 5. Let p be m(1). Suppose 7*d = 2*d + 95. Let f be d\/(-4)*((0 - p) + -6). Are 20 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(3 - (-3005)\/(-1005))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b + 374*b - 347*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w**4 + 7*w**2 + 3*w - 5. Let r(a) = -18*a**4 + 15*a**2 + 7*a - 11. Let k(p) = 3*r(p) - 7*z(p). Factor k(j).\nAnswer: 2*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/6)\/((r\/r**(-1\/2))\/r)*r**2*r**(3\/8) assuming r is positive.\nAnswer: r**(41\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 7*f**2 - 6*f + 2. Let l be t(6). Suppose 15 = l*j + 3*j. Solve -7 + 1 = j*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5\/4 + a**4\/4 + 25*a**3\/2 + 87*a**2\/2 + 207*a\/4 + 81\/4 = 0.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-4))\/(1\/(-2)). Let f be (-2)\/5 - 3\/(-20). Let b be (-3 + 2)*-5*(0 - -1). What is the biggest value in f, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 620 - 1955\/3. Let g = h + 63\/2. Let v = -0.2102 + 0.0102. What is the smallest value in v, 2\/17, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1747, -1751, -1757, -1765, -1775, -1787?\n\"Answer: -r**2 - r - 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*c + 24, c + 1452 = 5*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -269, 2\/9, 1, 5, 3\/2, -1, -1\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30 - 35) + -1 + 9. Let -b*p**2 - 3\/4*p**3 - 3*p + 0 = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - h + 5*h**4 - 3*h**4 + (-2 - 2 + 6)*(-h**3 + h**3 + 2*h**4) as r*h**2 + a*h**3 + k*h**4 + j + t*h and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 221 - 221. Let v(o) be the first derivative of -o**2 - o**3 + o**2 + 1. Determine d(v(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*k - 248*k - 7*k**3 - 246*k + 0*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 57.34. Is 2 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -10977\/17188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 105 + 161 = 0. Suppose -25 = 5*g, 5*t - g + 2*g - 70 = 0. Calculate the remainder when v is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 0.211?\nAnswer: -5.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 - 410*z**2 - 1616*z - 1608 = 0. Calculate z.\nAnswer: -201, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 908330496*v**3 - 38437696*v**2 + 1219922*v\/3.\nAnswer: 2*v*(36912*v - 781)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -7\/2*p**2 - 3 + 0*p. Let m(r) = -r**2. Give m(b(v)).\nAnswer: -49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11355772151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001 (base 2) in base 12?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 25498*b**2 + 22396651*b - 22422148.\nAnswer: -(b - 26348)*(b - 1)*(b + 851)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 351*h**2 + 24*h**3 - 165*h**2 + 4*h - 179*h**2 + 28*h**3 + 0*h to x + d*h**3 + m*h + g*h**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8161000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, t: 4, e: 4, c: 2}. Give prob of sequence geg.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -1\/3*b**3 + 0 + 1\/24*b**4 + 0*b - 6*b**2. Suppose 3*l - 8*l = -25. Give m(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -0.5, 0.5, -5\/2, -0.02 in ascending order.\nAnswer: -5\/2, -0.5, -0.02, 0.02, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.626844275 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -295254 divided by -2\nAnswer: 147627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4705 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20 * -19.7\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = 90. Suppose 0 = 4*k + 3*m - 8*m - 60, -2*m = 4*k - 88. Let z be i\/k + 2\/(-5). Which is the second biggest value? (a) -0.1 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-15))\/(-2 - 227\/(-114)). Let k be ((-819)\/14 + 6)*o\/(-3). Suppose 6*m - 559 - k = 0. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5089\/10 or 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -6, 1015, 44 in increasing order.\nAnswer: -11, -6, 44, 1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21 + 21*x**2 + 6 + 15*x**2 + 0*x**2 wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*q + 388*q = 140. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14206)\/(-390665) + (-4135)\/275.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 171*y - 1567 - 143. Solve 347 = -y*h + 387 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -6 - 2\/9*l**3 + 1\/6*l**4 - 1\/3*l**2 + 2\/3*l. Factor p(j).\nAnswer: 2*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -64, 5, 3 in decreasing order.\nAnswer: 5, 4, 3, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 472127*s**5 - 201972*s + 1 wrt s?\nAnswer: 9442540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14\/(h\/(h*h\/h**17*h*h*h))*(h*h**2*h*h)\/h*h*(h\/h**23)\/h assuming h is positive.\nAnswer: h**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2\/7, 5, 1\/3, -117.6, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -47.2691*0.5\nAnswer: -23.63455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -243*t**2 + 4*t. Let y(z) = 547*z**2 - 9*z. Let v(r) = -9*w(r) - 4*y(r). Let p(j) = 2*j - 9 + j + 4*j. Determine v(p(d)).\nAnswer: -49*d**2 + 126*d - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*a + 2*f + 32, 0 = 4*f + 12. Suppose 3*y + 5*u = 102, 2*y = a*y + u - 192. Let p = y - 40. Is -2 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/13 - 22260866*p**4\/13 - 61943213731548*p**3\/13 + 309716558396964*p**2\/13 - 185830175455650*p\/13 - 557489925323298\/13 = 0. Calculate p.\nAnswer: -5565219, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6864118 is divided by 2602.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1513 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-74)\/222)\/((-6)\/(-106)) and -1*8\/118*5.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u + 34. Calculate j(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 5*w - 6. Let q(r) = -r**2 - 4*r - 5. Suppose -f - 3*x = -17, f - 2 = -5*x + 23. Give f*q(m) - 4*t(m).\nAnswer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 4*c + 6*c + 16 - 4*c - 5. What is the least common multiple of m(-5) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:59 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2330050, 2330049, 2330048, 2330047?\n\"Answer: -m + 2330051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooh when four letters picked without replacement from {x: 1, s: 1, h: 2, o: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7746676 and 15844387.\nAnswer: 8097711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61357, -62030, -63153, -64726, -66749, -69222?\n\"Answer: -225*w**2 + 2*w - 61134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 48 = 6*g. Suppose -g*f = c + 16301, -9*f - 40745 = -4*f - 5*c. What is f rounded to the nearest one hundred?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*j**2)*(0*j - 2*j + j) + 0*j**3 + j**3 - 5*j**3 + (-2 - 1 + 2)*(3*j**3 + 0*j**3 - 2*j**3) - 8*j**3 + 3*j**3 - j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by -3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26653214, 26653212, 26653210?\n\"Answer: -2*c + 26653216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16207455 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-70)\/(-22) + 6\/(-33). Let l = -59 + 82. Suppose -o - w*r - 1 = -18, -3*r = -4*o + l. Calculate the greatest common divisor of 56 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -51871.\nAnswer: 10374.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -538*z - 4307. Let i be m(-8). Which is the fifth smallest value? (a) 3 (b) -2\/3 (c) i (d) -1\/4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 5*y**2 + 3*y**2)*(35 + 7*y - 35).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**3 - 86*s**2 - 5*s + 18288 with respect to s.\nAnswer: 9*s**2 - 172*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1722 * 0.1.\nAnswer: -172.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1554\/140 - (-6)\/(-1)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 48 = -57. Suppose x + v = 48. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 2*i - 1. Let j(c) = 143. Let g(z) = -41. Let f(m) = 7*g(m) + 2*j(m). What is 2*f(n) - t(n)?\nAnswer: -n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7890297698?\nAnswer: 2, 3945148849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let b = 9 + -5. Let c(n) = 3*n + 0*n + 1 + 2*n - b*n. Give c(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -53*b**2. Let i(f) = -38*f**2 - 6*f**2 + 35*f**2. Determine i(y(s)).\nAnswer: -25281*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f, -f = -1423*h + 1428*h - 11342. Calculate the smallest common multiple of 2079 and h.\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (142\/(-2))\/((-3)\/45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -37*w**3 + w**2 - 16*w + 28. Let i be x(2). Let l = i + 318. Solve 0*s + 5*p = 3*s - l, -p = 5*s - 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -590 + 2*b**2 - 652 + b + 1352 as h + g*b**2 + s*b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 8*a**2 - 6*a - 3. Calculate t(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1165, -2\/47, 1\/62?\nAnswer: -1165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912177372 a multiple of 4897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 48\/5 (b) 0.2 (c) -238 (d) 1\/2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/5)\/(n*n**(-5)*n))\/(n**(-2\/5))**(-2\/37))\/(((n\/(n*n*n**(-2\/3)))\/n)**(-7))**(-8) assuming n is positive.\nAnswer: n**(43204\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3)\/7 - (9990\/525 - 21)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + m**4 - 2 + (-2*m**3 + 1 - 1)*((0 + 2 - 4)*(-6 + 3 + 0) - 7 + 2 + 6)*(-5*m + 0*m + 4*m).\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -1 - 1\/2*o**2 - 37*o - o**3. Give b(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/6)\/(60\/(-35))*276\/23.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 13*x**2 - 12*x + 10. Suppose -5*h - 7 = -67. Let o be k(h). Let w = 282 - 112. Calculate the highest common divisor of o and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2276, -4550, -6824, -9098?\n\"Answer: -2274*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + n = -56. Suppose 4*k = 0, 3*r + n = -3*k + 214. Calculate the lowest common multiple of 56 and r.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*m - 2, 0*w - 2*w - 14 = -5*m. Let j(f) = -f**2 + f. Let b(u) = -u**3 - 2*u**2 + 2*u. Let o(l) = w*j(l) + 3*b(l). Factor o(v).\nAnswer: -v*(v + 2)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1*1\/(-9)). Let g(w) = w**2 - 2*w - 1. Let r(c) = 3*c**2 - 17*c - 16. Let s(k) = -4*g(k) + r(k). What is s(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6436 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8009, 5, 1, 6, -5 in descending order.\nAnswer: 6, 5, 1, -5, -8009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7681685 divided by 5?\nAnswer: 1536337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 4*g - 4*i - 38976, -4*g - 5*i + 38970 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.38 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + ((-4 - -32) + -17 - -63)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1581, -456, 1, 4.\nAnswer: -456, 1, 4, 1581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - (6 + (-7 - -12))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118532006 by -59266003.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -428, -4, 0, 2 in decreasing order.\nAnswer: 2, 0, -4, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 180?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*37\nAnswer: 18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.214715 + -0.214. Round l to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2100\/98269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {x: 3, n: 3, e: 7, d: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000677334 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*q**3 + 39380*q**2 - 130824*q + 107568 = 0.\nAnswer: -166, 18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p - 4. Let r(u) = -u**2 + 6*u + 27. Let c be r(-3). Suppose c = 221*m - 215*m - 24. Give x(m).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 12*k + 16. Let c be u(12). Let m = c + 397. Suppose y + 123 = m. What are the prime factors of y?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2806728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 6. Calculate a(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-360)\/27)\/((1189\/(-87))\/41)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 62 = 7*n. Let l be (-12)\/30 - (n\/5)\/(-2). What are the prime factors of ((-615)\/(-45))\/(l\/6)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let i be -3*(1 - (y + -1)). Is 7 a factor of 42 - (1 + i\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**10)\/k**(1\/3)*(k\/(k*k*k\/k**11))\/(k*(k*k*k*k\/((k**(1\/4)*k)\/k)*k*k)\/k))**9 assuming k is positive.\nAnswer: k**(501\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -1.94. Let i be (0 - 1\/(-1))*-15. Let r be ((-2)\/i)\/((-30)\/(-25)). What is the smallest value in r, w, -1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*t + 1, -b - 5 = -3*t - t. Let p(z) = 11*z**3 + 2*z**2 + z. Determine p(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 412 + 418. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 13980397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7973528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8271, 15605, 22927, 30243, 37559, 44881, 52215, 59567?\n\"Answer: z**3 - 12*z**2 + 7363*z + 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3239 and 553.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*t + 141*t - 88*t + 85*t + 125*t.\nAnswer: -73*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-7)*1428\/(-17)*(-1)\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -476*k - 1229*k + 261*k in the form u + p*k and give p.\nAnswer: -1444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/10)\/(16\/8)*-2. Which is the closest to y? (a) -1\/4 (b) -2 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**16\/(w*w\/(w*w\/w**(-1\/18)*w)*w))\/(w**(-3\/17)*w*w)**10)**(1\/3) assuming w is positive.\nAnswer: w**(-667\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734983520 to the power of 1\/3, to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*m**2 - 6*m**2 - m + 10*m**4 - 52*m**2 + 2 as k*m**4 + h*m**3 + s + x*m + j*m**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (3 - 18*1). Suppose -q - 6 = m. Let z be 24\/15 + (-8)\/m. Solve y - z = 3*y - g, y + 6 = 3*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/5 + 63*o**3\/5 + 468*o**2\/5 + 1488*o\/5 + 1728\/5.\nAnswer: 3*(o + 4)**3*(o + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2622741 and 1192155?\nAnswer: 13113705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 4*n + 10. Let x(y) = y - 1. What is -t(m) - 4*x(m)?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 971?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygnf when four letters picked without replacement from {n: 6, g: 2, f: 1, y: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 5) + (-6)\/(-1). Let u(x) = x**3 - 4*x**2 - x + 1. Give u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10855 - 9269. What is the highest common divisor of 130 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134096.9 plus 1566.99?\nAnswer: -132529.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-8)*352\/198*-4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 g, and 1 t when four letters picked without replacement from {u: 5, c: 1, z: 3, g: 3, b: 1, t: 1}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/13)\/b*(b*b*b\/(b*b**13*b))\/b*(b*b**(1\/5)\/b)\/b**(-4\/21) assuming b is positive.\nAnswer: b**(-18682\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let o(y) = 3*y + 14. Let s(k) = -3*k - 20. Let d(u) = 3*o(u) + 2*s(u). Give d(n(m)).\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.13. Let t = -0.099965 - h. Round t to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 20*b - 3. Let h be (b - 4) + (-5)\/55*-31. What is the smallest value in 2, 6, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -118*j**3\/3 - 13*j**2\/2 - 15*j. Is c(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y - 2. Let x be a(2). Let h be ((-73 - x) + 0)*-1. Suppose -3*l = -3*r - l + h, 36 = r - 3*l. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64593668.8 to the nearest one hundred thousand.\nAnswer: -64600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 15*y**2 - 50*y - 5. Let x be g(10). Let r(l) = -l - 1. Let b be r(4). Is b >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 225 - 227. Let y(t) = -33*t**2 + t - 5. Let j(g) = -16*g**2 + g - 3. Let m(o) = 5*j(o) - 3*y(o). Is m(r) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 477828 and 212368?\nAnswer: 1911312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3311369l to millilitres.\nAnswer: 331.1369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1189 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 2:59 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2163 + -2123. What is the lowest common multiple of 144 and m?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 11:59 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifi when three letters picked without replacement from {i: 3, f: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 277 + -498. Let u = 218 + g. Does u = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0 - 3\/245*y**7 + 0*y**3 - 2*y**2 + 1\/42*y**5 + 0*y - 1\/84*y**4 - 1\/140*y**6. Suppose z(m) = 0. Calculate m.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30848 and 2379634?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8650*y**2 + y + 3689 wrt y.\nAnswer: 17300*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 8*h = 3. Solve j = -h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 4*a**2 - 2*a + 5. Let m = -154 - -177. Calculate the remainder when m is divided by y(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbobbbobbobbbd. What is prob of picking 1 b and 1 d?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 6*s**2 + 2*s + 3. Let k be p(6). Let f be -2 - (0 - ((-136)\/(-36) + -2)). What is the nearest to k in f, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 52. Suppose -3*c - 4*m = -19, -5*m + 9 + 6 = -5*c. Let b be 2 - (-4)\/r - c. What is the closest to b in -3, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 17*g - 52. Let r be m(4). Solve r*l + 13*l + 9*l - 35*l - 4 + l**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0099494*-0.2.\nAnswer: 0.00198988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**2*s**3 + 2*q**2 - q*s**3 - 2*q*s + 74*s**3 + 7*s wrt s?\nAnswer: 6*q**2*s - 6*q*s + 444*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:13 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - -5*-2*sqrt(180))\/(-1*sqrt(6)*-1))\/((sqrt(96)*-1 - sqrt(96))*1).\nAnswer: 9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 5950, 0.3, 2\/11, 0.1, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.3 + -3. What is the biggest value in x, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f - 5*f. Is f + (36 + -1)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49816 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3131\/10934 + 1\/1562. What is the closest to -1 in 1\/4, 5\/6, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435784 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4087033 - 17?\nAnswer: -4087051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - o - 28 = 4*o, -5*o - 84 = 3*x. Let i(f) = -f**2 - 36*f - 27. What are the prime factors of i(x)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.23 times -0.5?\nAnswer: 0.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115216 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 571 + -565. Suppose 0 = y + 2*y - 6. Solve b + y = c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 5 = 5*l. What is the units digit of 7 + l*(-4)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*g + 411 + 3747 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 8. Let g be (32 - x)*(-6)\/(-3). Suppose 5*p + g = 5*o, -5*o - 3*p = -4*o - 8. Calculate the remainder when 31 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2381\nAnswer: 2\/2381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -12 + (-3976)\/(-355)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -360796475194 and 0.3?\nAnswer: 360796475194.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539280.5 months in centuries?\nAnswer: 1282.73375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10046 in 2\/25, 1, -95?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 6:03 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177257564.9999932 - 177257529. Let b = i - 36. Round b to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6900046 and 2?\nAnswer: 6900044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/9 - 6\/(-27). Is (2\/z - 1)*(-190 - 4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 3*o**2 - 10*o - 18. Let y be d(-4). Let i(l) be the first derivative of 0*l**2 - y*l + 7 - 1\/3*l**3. What is the derivative of i(r) wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 0*d - 35*d as p + n*d and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.21 <= 6909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9913683?\nAnswer: 3, 13, 254197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 12. Let y be m(-10). Let h be 6\/3 + y + 21. Let c = h - 11. Calculate the greatest common factor of c and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n - n, -2*a - 5*n = -10205. What is a rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2. Suppose 4 = 5*o - 11. Let i(p) = -4 + o + 1 - p. What is q(i(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -663, 2, -4, 5, -695, 8 in descending order.\nAnswer: 8, 5, 2, -4, -5, -663, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 20*f - 16. Suppose -f*g = -g - 165. Calculate the greatest common divisor of 242 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141053?\nAnswer: 11, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t**3 - 49 + 49.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 9:19 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66712944 to the power of 1\/2, to the nearest integer?\nAnswer: 8168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.1 - 196.1. Let u = t - -166.9. Let b = u + -8. Which is greater: b or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266 + -203. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.1 (c) 2888 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-15) + 73\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 19*s**2 - 90*s + 9. Let z be j(-10). Let k(p) = -p**2 + 7*p - 11. Determine k(z).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84604836 to the nearest integer?\nAnswer: 9198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2382 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/10 + 559*v\/5 + 125736\/5 = 0.\nAnswer: -806, -312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -8.2. Let u = 0.5 + i. Let y = u - -0.6. Which is the smallest value? (a) -0.5 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111562 by -10142.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4464\/10044)\/((-8)\/330)*6\/(-5)*1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.98 + 0.02. Let h = 18 - n. Let o = -5.9966 + h. Round o to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1085 = -v, -9*p = -4*p + 2*v - 5467. What is the smallest common multiple of p and 1?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 7*f + 5. Let c be o(7). Let z(y) = -y + 6. Let d be z(c). What is the derivative of 17*p**3 - 16*p**3 + d - 2 wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131319 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/46 - (-1383810)\/32982\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -396\/59 (c) -5 (d) 1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 4*v = 5*d + 8869, 4*d - 7096 = 3*v. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m. Let l(a) = a - 1. Give x(l(v)).\nAnswer: 9*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:31 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i**3 + 6*i**2 + 4. Let a(v) be the second derivative of -19*v**5\/20 + 13*v**4\/12 + 9*v**2\/2 - 328*v. Determine 4*a(d) - 9*q(d).\nAnswer: 5*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/858228 and 40\/1501899.\nAnswer: 6007596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {u: 2, r: 7, t: 3, n: 1, x: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -20979.\nAnswer: 2\/20979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(2\/27)*(n*n*n*n**(-14)*n)\/n**(1\/2) assuming n is positive.\nAnswer: n**(-575\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44449, 44478, 44537, 44626, 44745?\nAnswer: 44894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + p**4 - p**4)*(-2*p + 1 - 1) - 82*p**5 - 3*p**2 + 153*p**5 - 102*p**5.\nAnswer: -29*p**5 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2420, -2236, -1920, -1472, -892?\n\"Answer: 66*v**2 - 14*v - 2472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -0.3 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-6) - (4 + -5). Let d = -1 - 0. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**3 - 21*y + 64. Let r(g) = -g**3 - 10*g + 31. Determine -2*j(f) + 5*r(f).\nAnswer: f**3 - 8*f + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -607?\nAnswer: 607.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -22 - 20. Suppose 24*z + p = 17*z. Which is the biggest value? (a) -1 (b) z (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 8*m**2 + 10*m - 4. Let w be n(9). Find the second derivative of 4*z**2 - w*z + 4*z + 4*z + 0*z wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/5))**(8\/11)*(o*o**(1\/2)*o)\/(o*o*o\/o**(-1)*o*o) assuming o is positive.\nAnswer: o**(-273\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6882994 = 29079*l - 29113*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.96 - -0.04. Let m be ((-5)\/(-1))\/(-10)*2. Which is the closest to m? (a) r (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/68 and (-5)\/1530*(4 + 1135\/(-10))?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (108 - 104) + 6 + 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 758596.3 days in hours?\nAnswer: 18206311.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 9 - 18 + 8042*l - 31.\nAnswer: 8042*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4506 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxnumxuuddx. Give prob of sequence rn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28903*a**4 + 2*a**3 - a**2 + 95745 wrt a.\nAnswer: 115612*a**3 + 6*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -15. Factor u*f - 3*f - 4*f**2 + 3*f**2.\nAnswer: -f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 times -228.5\nAnswer: 19422.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7397895 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 2*l**2 - 2*l - 1. Let n be 6\/4*(-4)\/(-3). Suppose 2*a - n = -4. Let b be j(a). Solve b = -3*x - 9, -2*p + 2 - 25 = 5*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9 + o**2 + 27*o - 27*o. Let b be a(-4). Solve -5*m + b = -0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-10)*3\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -4*h - 31, 12 = -4*l. Let y(b) = 15*b + 498. Let s be y(-33). Sort s, -1, h, -5 in ascending order.\nAnswer: h, -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 4*m**2 + 3*m + 2. Let y be c(-3). Suppose -y*t = -4*g - 604, 2*t + g - 633 = -34. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1051\/40 greater than or equal to 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 399. Let g(d) = -12*d**2 - 465*d - 1160. Calculate the smallest common multiple of q and g(-36).\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -2 (c) 3 (d) 2946992 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-44)\/99)*-9. Let g(c) = -c + c + 3*c. Let b(k) be the first derivative of -k**3\/3 + 7*k**2\/2 - 1. Determine i*g(x) + 2*b(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1884902*h - 234049.\nAnswer: 1884902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - j + 6. Let u be l(9). What is the third derivative of -159*y**3 + u*y**3 + 9*y**2 - 5*y**5 wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - b**2 - 5*b + 3. Determine y(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/(-100) + 1\/28. What is the nearest to f in -73, -1\/7, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 5, 1.3, -12, 4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003014879 rounded to 6 decimal places?\nAnswer: 0.000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -96. What is the greatest common divisor of 815 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -13*f - 42. Suppose 0 = -f*i + 3025 + 71633. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + -1100?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 9 = -5*f, -5*f = 4*w - 4 - 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.58583 - -0.02.\nAnswer: 27.60583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 + 2.3. Let a = 0.055 - 4.055. Let s = -3.5 - a. Sort 0.1, j, s in decreasing order.\nAnswer: j, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29992 = -20519*x + 19867*x for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 0*i + 1\/3*i**3 + 15\/4*i**4 + 1\/5*i**5 - 39\/2*i**2 - 111. What is the third derivative of d(j) wrt j?\nAnswer: 24*j + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h - 52*h - 14*h + 127*h - 24*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 + 344 = 12*o. Suppose -8*u + 458 = o. Calculate the greatest common factor of u and 510.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7475 + 7472. What is the closest to 2\/9 in c, 10\/11, -1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*n - 116, 5*d - 24 - 109 = -n. Let r = -22 + 37. What is the remainder when d is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.2. Let j = 0.3 - 0.3. Let x = 0 - j. Which is the nearest to i? (a) x (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.6 - 19. Let f = g - 6.6. Sort -0.3, 0.5, f in decreasing order.\nAnswer: f, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b**2 - 3*b - 1. Let v(q) = 14*q**2 + 7*q - 1. Let h(m) = 2*d(m) + v(m). Let f(j) = -5*j**2 + 2*j - 4. Calculate 2*f(i) - 3*h(i).\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111537 divided by 2.\nAnswer: 111537\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h**2 + 3. Let w be z(0). Suppose -156000 = w*s + s. Round s to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 26. Let f = 20 + i. Solve f*l = -2*l + s - 11, -5*s + 7 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -211*n + 623*n - 303*n - 7848 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(448) + 3))**2.\nAnswer: 1200*sqrt(7) + 11425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1 + 3. Calculate the common denominator of 23\/8 and p - 4\/((-480)\/278).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x + 4. What is the lowest common multiple of x and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 898 = 4712. Let m = -317 - -329. Suppose -k - n = -m*k. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-10) - (-5 - -7)\/10. Suppose -d*k + 1215 = 5*k. Suppose -3*u - k = -510. Calculate the highest common divisor of 25 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -529.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + 56*h**2 - 6*h - 32. Give l(28).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6002419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-84)\/(-16))*(-20)\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23575?\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 85.8185796 and 0.0466?\nAnswer: 85.7719796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*3*6\/(-20). What is the second biggest value in -6, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Let q = g + -4. What is the second smallest value in 2, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11124300 is divided by 135.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172432 and 104?\nAnswer: 172432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -13*b - 18. Calculate q(28).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -12*f**2. Let s(q) be the first derivative of 13\/3*q**3 + 0*q**2 + 0*q - 7. Let x(p) = -6*o(p) - 5*s(p). Let u(r) = -3*r. Determine x(u(a)).\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - v + 19*v + 5*v + 2*v in the form r*v + s and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 267582503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 33 = -z. Let t = -165 - -49. Calculate the remainder when (3 - -1)*t\/(-8) is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 564703962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-1*sqrt(459) - sqrt(459)) + sqrt(459) - sqrt(459) - sqrt(459)) + sqrt(51))\/sqrt(3)*2*-3.\nAnswer: 1 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/(20\/24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21010201012 (base 3) in base 9?\nAnswer: -233635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.79 * -0.23765\nAnswer: 2.0889435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 24 = -4*n, 3*l + 34069*n - 11 = 34073*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Suppose 11 = 3*w - 1. Let b(x) = -x - x + w*x - 4*x. Let i(o) = -4*o. Let n(y) = 6*b(y) - 2*i(y). Calculate n(f(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-7)\/(-42))\/((-1287)\/156)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -14\/2525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.72 - -10. Let k = 0.08 - j. Let y = 0.2 + k. Which is the nearest to -2\/3? (a) 4\/7 (b) 2\/15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-2) - 9)\/(1\/(-2)). Solve o = -0*d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 65*v = -24*v + 2*d + 11, 4*v = 5*d - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-50076)\/130*(6 + -1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -7\/3*z**3 + 0*z + 2*z**2 - 1\/4*z**4 + 0. Let o(g) = 2*g + 5. What is -8*o(n) - 3*x(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -30*j. Suppose j = -2*z + m + 68, 5*z - 137 = -2*m + 51. Let q = z - 35. Solve -4 = 3*h - q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(-287 + 570 - 269 + 23*w).\nAnswer: 69*w + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22 - (-3)\/(-2)*32\/12. Let w(n) = -4*n - u - 16 + 34. Let h(r) = -3*r - 2*r + 3*r. Determine w(h(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -11*w + 2 - 168\/5*w**5 - 104*w**3 - 353\/3*w**4 + 98\/15*w**6 - 40*w**2. Suppose f(n) = 0. What is n?\nAnswer: -1, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.715 - -1.315. What is the closest to -0.1 in 7, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 0*b - 1\/120*b**6 - 1\/30*b**5 + 0 + 2*b**2 - 1\/8*b**4 + 0*b**3. What is i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*x - 1033*x - 40 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1098*7 - (-1 - -1). Suppose 0*x - d = -9*x. Round x to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0, -6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*13 + 50\/(-70)*686\/(-49)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*p + 42*p - 8*p - 58*p + (-2*p + 1 - 1)*(2 - 3 + 3).\nAnswer: -87*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 657, 1312, 1967, 2622, 3277?\n\"Answer: 655*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o - 9. Let j(u) = -u - 1. Suppose r - 8*p = -6*p + 9, r - 13 = 4*p. Calculate r*j(h) - b(h).\nAnswer: h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 226235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119.00062 + -119. Round t to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g. Let a(w) = -3 - 29398*w**2 + 29423*w**2 - 5. What is a(x(h))?\nAnswer: 100*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -210323132 (base 5) in base 10?\nAnswer: -870417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1 (c) 0.015 (d) -0.3 (e) -2 (f) 0.01 (g) -4.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/3155 - -6292\/28395. Solve -2\/9*f - k*f**3 - 4\/9*f**2 + 0 = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 b when three letters picked without replacement from qqddeqddbqqd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(4032) + sqrt(4032) + sqrt(4032) - sqrt(4032) - sqrt(4032)) + sqrt(4032) - sqrt(4032) - sqrt(4032)) + sqrt(28) + sqrt(28))\/(sqrt(4)*-3*4).\nAnswer: -25*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 - 3033*b**4 + 132092*b**3 - 1722688*b**2 + 3044352*b + 48971776 = 0. What is b?\nAnswer: -4, 16, 2989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000706 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -424, 2, -243, -0.1, 11?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 + -73335110?\nAnswer: -73335042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8512967615 rounded to 2 dps?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 61 = 43. Let z(m) = 5*m**3 + 3*m**2 + m - 1. Let k(t) = -4*t**3 - 2*t**2 - t + 1. Give o*k(p) - 2*z(p).\nAnswer: 2*p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**2 + 61*w - 110. Let u be s(10). Which is bigger: u or -1\/3057?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2334666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5369.47t in grams?\nAnswer: 5369470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/12 + -1 + (-77)\/(-21). Suppose -y*k - 5*f = -84, 5*k - 2*f - 84 + 12 = 0. What is the highest common factor of 22 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + -121 + 122 + 9 + 51.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*n - 25*n + 251*n.\nAnswer: 311*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let g(n) = -3*n + 0*n + 0 + 1. What is g(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587495915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -62. Let q = r - 97. Let l = 25 - q. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 14. Let u be w(13). Let b(k) = k**2 + 1. Let x(m) = 0*m - 2 - 2*m - 2*m**2 + m**2. Let d(q) = u*x(q) + 2*b(q). Factor d(s).\nAnswer: s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230730 is divided by 76900?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-74)\/192 - ((-16)\/6 - -2). Let h = z - 53\/416. Which is the nearest to 0.08? (a) 1\/5 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -647*n - 1305. Let m be z(-2). Which is the closest to 0.1? (a) m (b) 0.3 (c) -5 (d) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/30 + (-4)\/(-6). Suppose -2*p = -4*c - 48, -c - 2 + 0 = k. Is 12\/p - (-2888)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 4*o + 5, 150*o + 2 = 151*o + 4*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 105*h**3 + h**2 - h + 1. Let q be t(1). Let z = -741\/7 + q. Which is the closest to -1? (a) z (b) -0.1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4511757, 9023509, 13535259, 18047007, 22558753?\nAnswer: 27070497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -17 + 17 + (-10)\/(-40)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-15)*(-16890)\/5067?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71.9 - -10.9. Let q = p + 32. Let h = -1.3 - -1.2. Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**3 + 3*w**2 + 2*w - 13. What is the remainder when a(2) is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1267 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 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: Does 48 divide 2009232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/15*(-20)\/(-3). What is the third derivative of -2*j**6 + g*j**6 + j**2 + 0*j**5 + 0*j**5 wrt j?\nAnswer: 720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3)*2 - sqrt(3))**2*-4.\nAnswer: -48 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*f + 28, -5*f = -3*f + 4*n - 56. What is the least common multiple of 18 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-15)\/2)*(-4)\/8 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -31679?\nAnswer: 39\/31679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640822 is divided by 1050.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 528104 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/12*3*-3. Suppose 4*s = -m + 4*m - 21, -6 = -5*m - 3*s. Suppose -4*w + 8 = 4*a - 2*a, z = -3*w + m*a. Which is smaller: -4\/73 or w?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -80.55041\nAnswer: -4.0275205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttaa when four letters picked without replacement from {a: 3, t: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68.43 + -101.7. Let b = l - -33. Let x = -0.63 + b. Are x and 1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098*s + g = 1095*s + 2 + 3, g + 32 = 5*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -20*d**5 - 2315*d**4 + 6160*d**3 + 1900485*d**2 + 5118930*d - 1398600 = 0?\nAnswer: -111, -30, -3, 1\/4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2072 - -3398. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1030421 - 1440?\nAnswer: 1024541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-6)*100\/33. Let g = j + 8\/11. Let i = 14\/3 + -137\/12. Calculate the common denominator of i and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4340112 + 5?\nAnswer: -4340104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24 + -12.24. Let t = 0.05 + 16.95. Let h = x + t. Which is the smallest value? (a) -5 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80.81 + 96.81. Let r = -2 - -4. Which is the third smallest value? (a) r (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 571599696 by -71449962.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304)*2 - sqrt(304))*-1) + sqrt(304) + 0)**2*-1 + -4 + 4.\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 3\/41, 8, -1\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {h: 6, g: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -779114, -1558226, -2337338, -3116450, -3895562, -4674674?\nAnswer: -5453786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 2*l**2 + 58*l - 32. Let k be t(-7). Solve -22*j + 19 = -20*j - k*u, -20 = -5*j + 2*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 1990*a**3 - 132*a**5 + 18 - 8*a + 460*a**2 - 637*a**5 - 1335*a**4 - 338*a**5 - 18 = 0.\nAnswer: -2, -2\/9, 0, 2\/123, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 19, -509, 3, 5 in increasing order.\nAnswer: -509, 3, 5, 19, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27057 - 26850. What is the remainder when z is divided by ((-3)\/(-2))\/(9\/114)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 15 = 4*k + 3*p, 0 = -3*p + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87200 and 74665.\nAnswer: 11946400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 34 = 2*g, -2*g = g + s - 31. Let h(m) = m**2 - 2. Suppose 10 + 0 = 5*n. Let t be h(n). Solve 5*l - t*l - g = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = -5. Suppose 5*k = 5*u, 3*k - 9*u + 8*u + 2 = h. Let o be 2\/(-4)*6*(0 + k). Solve -2*j = 0, 0 = o*r - 2*j - 0*j - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299285.4 take away 0.2?\nAnswer: -299285.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*s, -5*b - 4 = -9*b - 3*s. Suppose -6*l - 5*j - 103 = -8*l, 3*l = -b*j + 97. Calculate the least common multiple of 3 and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {l: 10, p: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1022.554 + -1028.7. Let d = -0.54 - -0.586. Let w = z + d. Round w to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372921100?\nAnswer: 2, 3, 5, 11, 239689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3\/2 - 41*o**2 + 509*o\/2 + 16616 = 0.\nAnswer: -16, 31, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k + 23. Let i be (0 - 14)*k\/46. Let o = -8 + i. Is -3\/10 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 38.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 39434774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 + 0)*-139)\/(-2). Suppose 1732*d = 1743*d + 913. Let s = p + d. Calculate the remainder when s is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*y**2 + 6 + 13 - 45*y**2 + y**3 - 16 - 7*y to the form p + t*y**2 + n*y + k*y**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - -2 - (20 + -17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1072\/10318 - (3*(-60)\/(-99) - 2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 s, and 1 x when three letters picked without replacement from {q: 5, x: 1, s: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**21\/((k\/k**(-2\/7))\/k))\/(k\/(k*(k\/(k\/((k\/k**(-4)*k)\/k)))\/k)*k*k**23*k) assuming k is positive.\nAnswer: k**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 13*w**2 + 3446*w - 10194. What is i(-268)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-24))\/(4\/84*7)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 35*n + 308. Give b(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = 4*h. Let l = 4 - h. Let w(s) = -s**2 - 4*s - 5. Calculate w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13 = -1. Suppose -9 = 3*w - 6*y + q*y, 31 = 3*w + 5*y. Solve 4 = w*a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -14. 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: Let a(j) = -j**3 - 6*j**2 - 3*j + 12. Let h be a(-5). Let q(c) = 70*c - 9. What is the remainder when q(h) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 2:02 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/27)\/(-1 - 10\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 4*g**2 - g - 10. Let y be (-8 - -3)*(-2 + 1)*-1. Determine m(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2)*(-4)\/(-2). Suppose 0*u = -t*u + 10. Let l = -36599 - -36602. Solve -4*i = 7*h - u*h + 29, -2*i = -h - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1972*c**3 - c - 1939*c**3 + 4*c to x + s*c**3 + b*c**2 + i*c and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**3 - 22*c**2 + 3*c - 3. Let k(i) = i**2 - i + 1. Let n(h) = 3*k(h) + w(h). Find the third derivative of n(x) wrt x.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*i - 6*u, 4*u = -29*i + 32*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**2\/2 - 589. Let g(d) be the second derivative of -173*d**4\/6 - 54*d. Calculate j(g(i)).\nAnswer: 346*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 428*2\/154 - 4. Let v be (-4)\/154*21814\/24. Let m = v - s. Find the common denominator of m and -49\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 258 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 divided by -31251?\nAnswer: -61\/2841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -2*t**2 + 0 + 13\/6*t**3 + 0*t + 1\/24*t**4. Is z(-7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 16*n = 64. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -2157.27.\nAnswer: 10786.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/19 + 68\/95. Suppose 2 = j + 1. Is b bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 - 210. Factor -z + 1545*k**2 + 6*k + 29 - 1548*k**2.\nAnswer: -3*(k - 4)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 + 9 = 3*w, 3*w + 3*m - 3 = 0. Determine o, given that 0*o + 3\/2*o**4 + 0*o**2 + 0 - 3*o**w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -1515, -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82*i*l*r - 42*i*l - i*r + 19*i - 12*l*r + 381*l + 27*r + 5 wrt i?\nAnswer: -82*l*r - 42*l - r + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 l when four letters picked without replacement from jllhlhjhkhhhllllllhl?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1167752892 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 19.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z - 18. Let i be l(-5). Suppose -3*j + 161 = -2*p, 3*j - p - 149 = -i*p. Sort 3, j, -1.\nAnswer: -1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1534? (a) 0.1 (b) -2\/9 (c) 114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2318256*10.1.\nAnswer: 23414385.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 55\/23373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20051 * -5.\nAnswer: 100255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3839*m - 53702. What is f(-14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 5. Let k = 9 + -5. Let o(t) = -2*t + 9. Let h be o(6). Let p(r) = 2*r - 6. Let z(s) = h*a(s) + k*p(s). Determine z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.9 - -48. Let r = 1\/349 + 1739\/2094. What is the closest to z in r, 3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -41*b**2 - 1. Let x(n) = 2*n**2 - 7*n**2 + 4*n**2. Determine x(m(g)).\nAnswer: -1681*g**4 - 82*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 697*p - 2534*p + 136*p to the form c + h*p and give h.\nAnswer: -1701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2656 - -148. Suppose -f - 31 = -5*z. Suppose z = l + 2*l - 2*m, -3*l + 561 = -4*m. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12914, -51920, -116950, -208022, -325154?\nAnswer: -468364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 162 + 48. Let d = 198 + -159. Which is greater: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*i**3 - 206*i**3 + 143*i**3 + (i + 0*i - 2*i)*(2*i**2 + 1 - 1) - 2*i**3 + 4*i**3 - i**3 in the form m + t*i**3 + w*i**2 + z*i and give t.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 10*j + 1. Let w be x(5). Let y be (0 - -1)*(3 - w - -38). Suppose -u + 67 = y. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 147*k - 586. Let t be x(4). Let d(n) = -6*n + 30. Let s(c) = 2*c - 10. Calculate t*d(p) + 7*s(p).\nAnswer: 2*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-7) + (-2838)\/462 + 842. What is the greatest common divisor of 1012 and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 5 (c) 4\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1263, 2545, 3781, 4965, 6091?\nAnswer: 7153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -1288, -2862, -5064, -7894, -11352?\nAnswer: -15438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -320671, -641334, -961991, -1282642, -1603287, -1923926?\n\"Answer: 3*a**2 - 320672*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14871 - 14871 - 7*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.038 - 10.562. Round s to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + 4*(2 + -4*sqrt(3) - 5*sqrt(300)) + 4)**2.\nAnswer: -3456*sqrt(3) + 140032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**2 - 5*c**2 - 57*c**2 + 2*c**3.\nAnswer: 2*c**3 - 41*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = m - 3*l + 4, 4*m - 3*l - 32 = 0. Suppose -m*a + 126 = -44. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = 2*i + 4, i - 1 = -5*g. Let j(n) be the first derivative of -1\/4*n**4 - 3 - n**3 + n + 3*n**2. Give j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30192 - 6445. Is c a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6995 times -0.69?\nAnswer: -4826.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9217 is divided by 1528.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 5. What is s(4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705930 rounded to the nearest 1000?\nAnswer: 706000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -16*k - 93. Let x be (4 - 1) + 30 + -40. Is b(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1518)\/460*(1 + 1)*(-2)\/(-240) and 67\/350.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -42 + 32, 0 = -3*s - 5*n + 214. What is the greatest common divisor of s and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 994 divided by -2\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*v = 16, -5 + 2 = -v. What is the third derivative of 19*u**2 + 151 - 21*u**3 - 151 - 3*u**x wrt u?\nAnswer: -72*u - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(325) - (sqrt(325) + 2))*2)**2 - ((sqrt(1300) - (-3 + sqrt(1300))**2) + 0 + sqrt(13) + -2).\nAnswer: -71*sqrt(13) + 1311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 78. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 3) + -4 + (-12 - (-27 + 15)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24209?\nAnswer: 43, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(720)*-2 + 3) + 5 + -1*sqrt(720) + -4 + 5)**2*3.\nAnswer: -4320*sqrt(5) + 54432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*q + 15239 = -316*q + 2340*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3105, -4, 5 in increasing order.\nAnswer: -4, 5, 3105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 3*r + 3. Suppose 0 = q + q - 6. Let b be s(q). Let o be 13 + 42\/(-7) + -3 + 6. Calculate the greatest common factor of b and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.225 and 9251814804.\nAnswer: 9251814803.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/80)\/(6\/8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g = 36*g - 3030. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2701722.1 - 0.1349\nAnswer: -2701722.2349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1151*w**2 + 20715*w + 54. Give t(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33517? (a) 1\/5 (b) -3 (c) 7\/136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 2*r**2 - 2*r**2 + (r**2 + r**2 - 3*r**2)*(3 + 3 - 4) - 2*r**2 - r + r)*(3*r + 2*r - r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -16.1.\nAnswer: 48.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 8*y - 26 = 0. Find the third derivative of 29*h - 31*h**5 - y*h - 17*h**2 - 16*h wrt h.\nAnswer: -1860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 3*n + 2*n)*(737 + 654 + 433 - 120 - 124).\nAnswer: 4740*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51 + 9*l - 51 + (1 - l - 1)*(-4 + 4 - 1) - 2*l + 9*l + l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18315618?\nAnswer: 2, 3, 47, 107, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -29, 5 in decreasing order.\nAnswer: 42, 5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/4448 and 41\/4448?\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 34 = -3*g, 2*g - 4*a = -2*a + 46. Suppose g - 168 = -5*k. Solve l - 3*t = 10, -5*l - k = -0*l + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) -2\/3 (b) 1\/405 (c) 3\/17 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*j - 2500557*t + 2500555*t, 2*t = -3*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 840 - 388. Suppose 5*k = k + p. Round k to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5\/6 + 75*v**4\/2 + 1450*v**3\/3 + 1650*v**2 + 1680*v = 0. Calculate v.\nAnswer: -6, -3, -2, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.07734.\nAnswer: -0.007734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0 - 5\/12*o**4 + o**3 - 3*o + 0*o**2. What is the second derivative of r(d) wrt d?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(21)\/sqrt(7))*-3.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 452 - 2*z - 641 - 6*z to y + o*z and give y.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*(-11)\/(-924))\/(6\/(-32))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -817.5 - -818. Let o = 0.2 - -0.2. Which is the second smallest value? (a) t (b) 2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let n be 32\/(-132) + y\/(-6). Suppose 19*h = 20*h - 1, 0 = 3*o - 3*h. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9812703*-10.\nAnswer: 98127030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/4 + 7*d**3\/2 + 9*d**2 + 35*d - 1. Factor x(f).\nAnswer: 3*(f + 1)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 = -5*t, 0 = 3*p - 0*p + 4*t - 4. Differentiate p - 1 + 4*g**2 + 5 with respect to g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/9)\/h)**(2\/17)*h**(-7)\/h**5)\/(h**(3\/8)*h*h\/(h\/(h\/(h\/h**(1\/16)))))**(1\/37) assuming h is positive.\nAnswer: h**(-1092799\/90576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(2\/(-58)*1). Suppose 0 = 4*a - 39 - q. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19124.99 to the nearest 10.\nAnswer: -19120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -0.1 (c) 4\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94010 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-11) assuming d is positive.\nAnswer: d**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176660 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 339715567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 1 - -9)*(-2)\/1. Calculate the common denominator of -59\/16 and ((-10)\/k)\/(36\/(-336)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 + 45*q - 49 + 438*q**2 - 128 - 434*q**2.\nAnswer: 4*q**2 + 45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9615*g**2 - 2*g + 269.\nAnswer: 19230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 0.3, 0.2, -38.54, 1.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/25)*k**(-5))\/((k*(k*k**(3\/11))\/k*k*k)\/k*(k\/(k\/k**(14\/3)*k)*k)\/k) assuming k is positive.\nAnswer: k**(-8266\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611866368.\nAnswer: 2, 3, 265567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.83*-5.3964\nAnswer: 4.479012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/25*80\/(-12). Let c = d - 43\/5. Let j be (-3)\/12*(-6)\/(-9). What is the second smallest value in c, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfrhlwhrlrrrl. What is prob of sequence hf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*j + 69*j + 16*j)*(-5 - 4 + 1)*(0 + 2 + 0)*(-j + 2*j + j) + 2*j**2 - j**2 - 4*j**2.\nAnswer: -1283*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 8*n + 12. Let k be y(-7). Let x(p) = -28 - 2*p + 13 - p**2 - k*p + 7. Let m be x(-5). Solve 4*v - 10 = 2*r + m*v, 4 = -4*r - 4*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 673551.\nAnswer: -5\/673551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) + (-65)\/26. Let h be 10\/6*(l - -19)\/2. Solve -6*v + 3*v + h = 2*a, -5*a - 5 = -v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuduuduuduu. What is prob of picking 3 u?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24858 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(5\/4)*w*w*w**(-2\/9)*w*w**(-2\/3)*w*w\/w**6*w*w*w*w)\/(w*w**(-1\/4)*w*w**(3\/11)*(w*w**1\/w*w*w)**(-9)) assuming w is positive.\nAnswer: w**(6007\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 3*j. Let n = 70.9 + -71. Sort j, 2, n in increasing order.\nAnswer: j, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*i + 220, 0*j = 2*j - 5*i - 232. Let o = 150 + -65. Let u = j - o. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2066630 less than -2066651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.20376*2491\nAnswer: -2998.56616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**4 + 16*f**2 + 0*f**3 + 5*f**4 - 1 - f**3 - 22*f**2 in the form u*f**3 + y + m*f**2 + g*f + j*f**4 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3807712016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 7, 13, 13, 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6920)\/5536*4\/445*-2\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 14*g**2 + 121*g - 11. Calculate the least common multiple of h(12) and 1335.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okx when three letters picked without replacement from xxxkxocyxy?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -163723 or -5239113\/32?\nAnswer: -5239113\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -53. Suppose -r = -5*m + 14, 3*m + 5*r = -x - 14. Suppose -23 + 10 - 10*d**3 + 10*d + 13 - 5*d**m + 5*d**4 = 0. What is d?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 7*j**2 - 8*j + 7. Let n be y(-8). Suppose 6*v + 4 = n*v. Suppose 3*o - 2*u = 11, -5*u - 7 = -2. Solve -o*f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**4\/12 + j**3\/3 + j - 3. Let d(h) be the first derivative of u(h). Find the second derivative of d(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-17)\/(7 + -75))\/(2\/2104)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*(14 - (-165)\/(-10)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/5*(-4)\/(-70)*-5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 22*b + 10*b.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -4\/31, 1\/7, 0, 4?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 2, 5, -4, -31 in decreasing order.\nAnswer: 5, 2, 2\/11, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1016 and 10?\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 413ce (base 15) to base 11\nAnswer: 13136a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*l + 2*g, 3 = -3*l + 5*l + g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 206 = -202 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 22*q. Let a be y(-4). Let w = -84 - a. Let z be 24\/14 + 2\/7. Solve 7*g - z*g - 17 = 2*n, -n = w*g - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 6. Let g(p) = -14*p + 18. Suppose -17*c = -93 + 25. Determine c*g(y) + 11*k(y).\nAnswer: -y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -470 or -5175\/11?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11 from -0.1308294449.\nAnswer: -0.2408294449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1944c1e - -35?\nAnswer: -1944bd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 551, 682, -0.3, -2\/5.\nAnswer: -0.5, -2\/5, -0.3, 1, 551, 682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 13945*j - 120 - 132.\nAnswer: -13945*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8095951155 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*g**2 + 144*g**2 - 419*g**2 + 142*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -588 + 239. Let k = 349 + o. What is the third smallest value in k, 0.1, -82?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -12 + 102. Let z(d) = d**2 + 10*d + 2. Calculate z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010001 (base 2) to base 10.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4380 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6799?\nAnswer: 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 10:01 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515162791.\nAnswer: 11, 13, 3602537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1381.7 and -0.3.\nAnswer: 414.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-9))**(-2\/131)\/(((n*n**(1\/17)*n)\/n)\/n)**(-1\/8) assuming n is positive.\nAnswer: n**(-2589\/17816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(70) - sqrt(70)*2)*4)\/(sqrt(250) + sqrt(250) + (sqrt(250) - -1*sqrt(250))).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18559, -2, 0, 9, 16, 4.\nAnswer: -2, 0, 4, 9, 16, 18559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1701 - -1701.2. What is the closest to -39 in 5, v, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 964\/6 + 3\/9. Let x(l) = l - l - u*l**2 + 165*l**2. Let n(w) = -8*w**2. Give n(x(i)).\nAnswer: -128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -4765 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(162) - (sqrt(162)*-2 - sqrt(162)) - sqrt(162)).\nAnswer: sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1056 and 5214?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(10\/(-4)) + 6. Suppose h*k = -3*m - 30, -k + m - 11 = -0*k. Let s = 14 - k. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1362284*o**2 - 146475*o wrt o.\nAnswer: -2724568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0+2.7363554\nAnswer: 2.7363554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o - 95*o = 100*o - 2360 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 938700 rounded to the nearest 10000?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.7 + -8.6. Let l(r) = -r + 11. Let y be l(6). Which is the closest to -2? (a) y (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 213.\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -937310\/131 - -7155. Let h be 2*5\/(-40)*0. Is x smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (3 - 24)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 131*v**2 - 387*v + 961. What is i(-128)?\nAnswer: 1345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (44 + -1) - (16789 - 16796).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310\/7 - -312\/7. Let j = -0.8 - -0.4. Let a(v) = -v**2 - v. Let s be a(-1). Sort r, s, j in increasing order.\nAnswer: j, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p - 10*p = 624. Let j(l) = -l + 7. Let t be j(5). Calculate the highest common factor of p and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7516.27 rounded to the nearest ten?\nAnswer: -7520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78d1a (base 15) to base 2.\nAnswer: 1011101110101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 817 = 3*s - 3434, 4*s - 2555 = -3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 408?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*20\/60)\/((-22)\/18 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74598, 2\/5, 1\/23.\nAnswer: -74598, 1\/23, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102368793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5466*c**3 - 5471*c**3 + 0*c**2 - 2*c**2 - 5 + c**2 to the form w*c**2 + p + z*c**3 + o*c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/558*1029\/686*9\/36.\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 2. Let f = -5.022 + 0.022. What is the closest to 0.1 in d, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 13*u + 5. Calculate t(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 988*k*p*r + 2*k*p + 76*k*r + 406*k - 27598*p + 2*r + 362 wrt p.\nAnswer: 988*k*r + 2*k - 27598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1051, 1055, 1047, 1021, 971, 891?\n\"Answer: -l**3 + 11*l + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(3\/(-4) + 1 + 903\/(-172)). Sort p, -1, 5, 51 in descending order.\nAnswer: 51, 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6612.9 + 6613. What is the nearest to 2 in -10\/51, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*t + t - 3*t)*(-1 - 2 + 2) - 2*t + 1 - 1 + (5 - 1 - 2)*(65 - 65 + 232*t) + t + t - 4*t)*(2*t + 2*t - 2*t) to the form i*t + r*t**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*m - 4*g + 31, 3*m - g = 1. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p + 12. Calculate the highest common factor of 6 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -125.\nAnswer: 3\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10608 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 + -110. Suppose p = -9*k + 7*k. Let j = k - -44. Let a(g) = -g - 5. What is a(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = 65. Suppose 0 = m + 25 - 70. Calculate the greatest common factor of m and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167808810 to the power of 1\/2, to the nearest integer?\nAnswer: 12954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 51*p**5\/20 - p**3\/3 + p**2 - 19*p - 53. Let a(m) = -254*m**3 + 11*m - 11. Calculate -2*a(v) - 11*l(v).\nAnswer: -53*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 12 = 2*x - 2*c, 0 = -3*x + 5*c - 39 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/60 - t**4\/24 - 5*t**3\/6 + 5*t**2. Determine x(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2530\/(-1288) + 3640\/980.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -4\/41?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*105\/(-18)*12\/21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 - 0.8. Let o = 0.022 + 187.978. Let y = 190 - o. What is the closest to -1 in j, y, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1768 and 356318300?\nAnswer: 712636600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (sqrt(363) - (sqrt(363)*-1 + sqrt(363))**2) + 4 - (-2 + sqrt(9)\/(sqrt(3) + (sqrt(3) + sqrt(9)\/sqrt(3) - sqrt(3))))) + -5.\nAnswer: 1 + 43*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -2*x**5\/55 + 3*x**4\/11 - 16*x**3\/33 - 6*x**2\/11 + 18*x\/11 + 1177. Let z(t) = 0. Calculate t.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 31576026.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 53 + 71. Suppose 11 = -5*i + s. Suppose 8*p - 3*p + 8 = -4*x, i*p + 31 = 5*x. Solve 3*g = x + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 + 5*v + 24)*(2*v + v**3 - 2*v) - 10*v**2 - 3*v - 2*v**4 + 10*v**2 in the form l + d*v**3 + b*v + q*v**4 + g*v**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343 and 4018?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 5, -1, 2 in ascending order.\nAnswer: -3, -1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l - l + 0 + 0 - 2*l + (-1 + 0 + 0)*(-2*l + l + 2*l) - 3*l + 6*l - 2*l - 2*l + 3*l + 0*l)*(1 + 0 + 2*l**3 + 0*l**3).\nAnswer: -4*l**4 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1.0197.\nAnswer: 3.0197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104814 - 262*d**2 - 104814)*(4 - 5 - 7) + 0*d**2 + 4*d**2 - 2*d**2.\nAnswer: 2098*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*d + 2 = 0, -4*z - 9 = 2*d - 7. Suppose z = -0*w - 13*w - 1950. What is w rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2433 and -11377522218?\nAnswer: 11377524651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-12))\/(2\/36). Is g bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 15. Suppose t = a*t. Sort 5, -2, t.\nAnswer: -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84 in 5\/4, -0.181, 0.4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (37 - 29)*38\/4. Let j = -238 - -352. What is the highest common factor of c and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 12. Let f(c) = 2*c - 6. Let p(n) = 5*f(n) + 3*z(n). Let s be p(-6). Suppose 3 = l + q - 1, -3*q = s. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/14)*j*j*j)\/(j*j**(-1\/6)))**(-4)*j\/(j\/(j*j**(-6)\/j))*j**4*(j*j**1)\/(j*j*j\/j**(1\/4)*j) assuming j is positive.\nAnswer: j**(-1355\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43626 (base 7) to base 11.\nAnswer: -8252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6, -5*o + 6*y - y = -2165. Calculate the lowest common multiple of 30 and o.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5\/13 + 62*i**4\/13 - 720*i**3\/13 + 3896*i**2\/13 - 9920*i\/13 + 9600\/13 = 0?\nAnswer: 3, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 35\/15*123 - 7\/(35\/40). Let v = 65 + -34. Calculate the greatest common factor of i and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/29248 and -1\/864.\nAnswer: 789696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 160a + 0?\nAnswer: 160a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -5 + (-3 - -2). Let z(w) = -2*w - 40. Let r be z(-16). Let i = r - v. Solve 2*u + 1 + 7 = i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldff when four letters picked without replacement from ftlgllfyldldlfgltt?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 4*k - 1, -167 + 169 = -j - 3*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1126 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1215769205 divided by 5.\nAnswer: 243153841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from accajcaffc. Give prob of picking 2 a and 1 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11551240526 - 5*u**2 + 11551240526.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 635242\nAnswer: 1\/317621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/357 and -197\/1890.\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 0.1 (c) -0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -4) + (6 - (4 - -1)). Factor -4\/3*a**4 + 2\/3*a + 0*a**j + 0 + 4\/3*a**2 - 2\/3*a**5.\nAnswer: -2*a*(a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f817a (base 16) in base 8?\nAnswer: -7700572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 3. Suppose -4*a = -2*a. Let j be z(a). What is i in 3*i**j + 0*i + 2*i + 4*i**2 - i**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20796 + 7979. Let f = r - -8017. What is f rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2013 - -2036. What is the nearest to -2\/7 in h, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(1*sqrt(209) - sqrt(209)) - (-1*sqrt(209) - sqrt(209))*-2)\/(sqrt(77)\/(-2*sqrt(7)*-2)).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, 32.\nAnswer: -5, 1, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**3 + 15*h**3 + 126*h**2 + 10*h**4 + 324*h + 4*h**4 - 13*h**4 + 216 = 0. Calculate h.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 99 = 4*h. Let v = h + 140. What is the remainder when v is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.58 and -1407572532015.\nAnswer: -1407572532014.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 3, v: 3}. What is prob of sequence vvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 19518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*a - 16 - 2 = 0, -3*a - 20 = 5*k. Let l be -3*2*3\/(-6). Suppose 2*z + 1 = 4*g - z, -l*z + 1 = -5*g. Which is greater: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**10\/45360 - h**9\/4536 - h**8\/1260 - h**7\/945 + 13*h**4\/12 + 3*h. Let b(g) be the third derivative of i(g). Factor b(r).\nAnswer: -2*r**2*(r + 1)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7420251 is divided by 1394?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/4778868 and 37\/90738.\nAnswer: 14336604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 40, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g**2 - g)*(g + 0*g - 3*g + (-3*g + 0*g + g)*(2 + 0 + 0) - 4 + 4 - 2*g).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4762491 is divided by 5525?\nAnswer: 5466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/4 - 2*h**3\/3 - 5*h**2\/2 + 2*h + 17. Determine f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 9.55166\nAnswer: -76.41328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30722, -2, 2, 10, -5 in ascending order.\nAnswer: -30722, -5, -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 3*z. Let m be k(-3). Let g = -343\/9 - -38. Which is bigger: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2 + 1. Let y be h(-1). Suppose d - 507 = -a + 1049, -5*d + y*a = -7810. Suppose -9*k + 10*k - d = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 4\/3, -1\/4, -0.6, 1, 7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -194906 - 1.178?\nAnswer: -194907.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -11. Suppose -8*z + 16 = -g*z. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49142 is divided by 53?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3547 by 906.\nAnswer: 3547\/906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15336 and 176376.\nAnswer: 112704264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 28278*o**3 - 2*o**2 - 3*o + 4. Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66 + 22*u**2 - 43*u**2 + 20*u**2 - 45 - 54*u**3 with respect to u.\nAnswer: -162*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-5\/13)*c)**(1\/4)\/(c**(18\/5)*c)**(-2\/9) assuming c is positive.\nAnswer: c**(3337\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 5*p**2 + 6*p - 6. What is the remainder when 94 is divided by b(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2768 and 234088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490, -963, -1414, -1831, -2202, -2515, -2758?\nAnswer: -2919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-3.39.\nAnswer: -16.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/3 + 57490*v**3\/3 + 2067046*v**2\/3 - 57490*v\/3 - 689016 = 0?\nAnswer: -28709, -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 266160 (base 8) in base 9?\nAnswer: 151872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**4 + a**3\/3 + 3*a**2\/2 - 4*a - 1. Suppose 5*r - 9*r = 12. What is the hundreds digit of c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*k - 398*k + 192*k - 24.\nAnswer: -14*k - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1056 = -z. Suppose -i + 5*s = 3*s - 12, i = -2*s - 12. Suppose i*w - 2*w = -z. Does 32 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233606.04 hours to days.\nAnswer: 9733.585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -213.00000214 + 213. What is c rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2565087 (base 9) in base 6?\nAnswer: -50011041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -43*n - 5419. Determine y(-126).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:42 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -5*x**4\/24 + x**3\/6 - 5*x**2. Let j(k) = -16*k + 2. Let p(i) = 3*j(i) - 10*r(i). Calculate p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czbkggzcgc. What is prob of sequence gk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -11.\nAnswer: -11, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 11:44 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8*(-1 - -1). Solve y + 3 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*p - 1562*p + 134261 = 149*p - 332*p for p.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10543281 and 1362737.\nAnswer: 200322339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 + -0.51. Let x = -0.2 + -1.8. Sort 5, r, x in increasing order.\nAnswer: x, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.2 + 12. Let f = -5.8 + t. Let x = f - -4. Is x at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-111)\/(-1)*1974102\/6. Let x = 11905821393\/326 - w. Let b = -3\/163 + x. Calculate the common denominator of b and -31\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-109 + 63 - 12*y + 55)*(-12 - 38*y + 35*y - 12) to the form j*y + q*y**2 + r and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/13)*(((k**11*k)\/k)\/k)\/k*k*k)\/(k**(-1\/4)*k)**(-2\/43) assuming k is positive.\nAnswer: k**(13713\/1118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8788.1 + -8788. Is r equal to 13\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113623?\nAnswer: 113623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/5, 5, 33?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2. Let t(j) = -5*j**2 - j + 1. Let o(p) = -t(p) + x(p). Suppose 3*l - b - 13 = -3*b, b - 5 = 0. Give o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110935*l**2*n**2 + 71*l*n**2 + 5460560*n**2 - 5 with respect to l.\nAnswer: 221870*l*n**2 + 71*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 2386\nAnswer: 5\/1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/13 - 956*z\/13 + 4730\/13.\nAnswer: 2*(z - 473)*(z - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 202?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Suppose 2*q = c + 5. Let m(b) = 11*b**2 - 12*b**2 + 4 - q. Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8404 minus -52?\nAnswer: -8352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = 7. Let r be 54 + -2 + g\/((-8)\/4). Differentiate r*h - 25 + 3*h**4 + 6*h**4 - 53*h wrt h.\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 2\/1*-1. Let y be (1*28 - 3)*-1. Let a be 10\/y*(-3 + -2). Solve j + w = a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -17*d + 13. Suppose -11*u + 9 = -2*u. Let q be z(u). Let s(y) = -y + 4. What is s(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410200436 rounded to the nearest 100000?\nAnswer: 410200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 4*m - 2. Let k be v(-2). Let u(q) be the third derivative of q**5\/60 - 2*q**3\/3 - 4*q**2. Let w be u(k). Which is bigger: 1\/10 or w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75.2675 - -0.2675. Let x = -85.9 - -13.9. Let h = f - x. What is the smallest value in -4\/5, -3\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, p: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 18*x - 2318 = 0. What is the greatest common factor of 1159 and x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**4\/2 - 3513*t**3 + 3851463*t**2\/2 - 308883762*t + 306961542 = 0.\nAnswer: 1, 354, 1633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -28*w**2 + 12*w**2 + 6*w**2 + 13*w**2. Let i(r) = 8*r. Determine i(m(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -208854 - 5?\nAnswer: -208859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4820164, 9640337, 14460512, 19280689, 24100868, 28921049?\nAnswer: 33741232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -99\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 182 + 182 + 2*o**2)*(11*o**2 + 47*o - 47*o) + (0*o**2 + 0*o**2 - 4*o**2)*(-o**2 + 3*o**2 + 0*o**2).\nAnswer: 14*o**4 + 22*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*a - 22 = 0, 3*t - 29 + 0 = -4*a. Suppose -457 + t = -2*l. List the prime factors of l.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 105752.75604 from -4.\nAnswer: -105756.75604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3 - 170828*j**2 - 3646921408*j + 36486298880 = 0 for j.\nAnswer: -42712, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*y**2 - 13752 + 13752.\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -21. Let z(r) = 4*r**2. Let k(y) = -5*y**2. Let h(u) = l*k(u) + 6*z(u). Let b(c) = 4*c**2. Give b(h(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-33) - 4\/3. Let k be (-2)\/(-1) + f + (-35)\/(-25). Find t, given that -3\/5*t**2 + k*t + 12\/5 - 3\/5*t**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - m. Let l = -4253 + 4252.7. Which is the closest to l? (a) 1 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19454760.64 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 + -1871365365.\nAnswer: -1871365366.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(-62)\/(-9114)*-21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 j when four letters picked without replacement from jffjfffjffjfjjfffff?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f*f\/(f*f**(-29))*f*f)*f*f*f**(-30))\/(f**(-3\/11)*f\/(f\/(f**(-1\/15)\/f))) assuming f is positive.\nAnswer: f**(-9184\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23362 + -23?\nAnswer: -23385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 196 = -5*k - 13*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (123\/3 + -1)\/((-11435)\/(-6861))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*m**3 - 444*m**2 + 444*m**2.\nAnswer: -227*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12932370, 25864740, 38797108, 51729474, 64661838, 77594200, 90526560?\n\"Answer: -u**2 + 12932373*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -4*y + 14. Suppose 214 = 2*x + 2*j, -2*j = -2*x - y + 232. Suppose 0 = -u - 3*r + x, -2*u + 4*r = -7*u + 524. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -132*t**3 - 1. Let u be a(-1). Let n be (3*(-3)\/27*-3)\/u. Is n less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13738*w + 3*w**2 - 7 - 1532*w + 7 - 8.\nAnswer: 3*w**2 + 12206*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 8*g**2 - 5*g**2 + 7*g + 2*g**2 - 5. Let r(v) = -7*v - 5. Determine -5*k(c) - 7*r(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d**5 + 252*d**4 + 2227*d**3 - 1872*d**4 + 13290*d**2 - 27*d**5 - 5640 - 762*d**3 - 16100*d = 0. What is d?\nAnswer: -47, -3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -5 - (sqrt(44)*-2)\/sqrt(4)) + -3 - (sqrt(891) + (-2*sqrt(891)*-3 - sqrt(891)) + sqrt(891) + -2).\nAnswer: -58*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/6)\/(36\/16 - 2). Let y(m) = -41604*m**3 - 3*m**2 - 14*m - 20. Let d be y(j). Let z = -85603820 + d. What is z rounded to the nearest 1000000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4221 = -40*o - 1501. Sort -5, 5, o in descending order.\nAnswer: o, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 14 + 14. Suppose 17*t = 25*t - 96. Suppose q*h = h + t. Put 7, h, -5 in decreasing order.\nAnswer: 7, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**3 + 3*z**2 - 4*z + 5. Let u be j(-4). Let d be (-63)\/(-135) - 7\/(u\/(-6)). Is d equal to -2\/375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 873?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 326 - 90*x - 326 as y + i*x and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 8237*h**2\/5 + 27948*h.\nAnswer: h*(h - 8220)*(h - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luqqlluquuulfuuuuu. Give prob of picking 1 q and 1 l.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41857572671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2208\/(-520) - -4)\/(6 - 828\/135)?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/4 (b) -2 (c) 5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -50*g + 2. Let h(q) be the first derivative of 2*q**3\/3 + 17. What is r(h(b))?\nAnswer: -100*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -39fa1?\nAnswer: -39fa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + -6. Let p = 18 + o. Let n = -674 + 2021\/3. Which is the fourth smallest value? (a) 0.3 (b) 4 (c) n (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -7. Let p = 1264086 - 1264081. Put 2, p, a in descending order.\nAnswer: a, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3)*2 + -2*(sqrt(147))**2.\nAnswer: -294 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*(-22)\/(-22)*0\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 713 - 679. What is the highest common factor of 1122 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546, -1085, -1612, -2121, -2606, -3061, -3480?\nAnswer: -3857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 268789050781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 34\/7, 2\/29, 9, 0.04, 8, 5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + s + 0)*(3 + 1 - 5) + (-3 + 2*s + 3)*(0 + 0 - 2) + 2*s - 3*s + 0*s + 597*s - 161*s - 276*s)*(-2 - 4 + 4).\nAnswer: -308*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and -2194.\nAnswer: -482.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12200102 (base 3) in base 14?\nAnswer: -171c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -228?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4426 is divided by 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuqhqhququh. What is prob of picking 3 h and 1 q?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 699*o + 143*o - 3364 - 4247 - 3335 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 96 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + n + 2 = 0, -539 = 4*p - n - 542 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((-15 - 240\/(-15)) + 13)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**(-35)*x**(2\/11)\/x*(x*x**(-6))\/x)\/((x\/x**(1\/6))\/x**(1\/2))**(-3\/4) assuming x is positive.\nAnswer: x**(2791\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705390 is divided by 1118?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -0.5. Let s = 4\/32423 + 97253\/129692. Put s, 1\/4, d, 1\/7 in decreasing order.\nAnswer: d, s, 1\/4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 87 - -3?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.73.\nAnswer: 0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56280 or 0.449?\nAnswer: -56280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 i when three letters picked without replacement from iiiiisis.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*n**4\/7 + 366*n**3\/7 + 5361*n**2 + 34770*n\/7 - 222336\/7 = 0. Calculate n.\nAnswer: -193\/5, -3, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19*f**3 + 5*f**2 + 5*f + 5. Let u(k) = 19*k**3 + 4*k**2 + 4*k + 4. What is 5*u(g) - 4*y(g)?\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110833322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 14924015.\nAnswer: 104468105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57199 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (9945\/(-26))\/(-51)*24\/(-4)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**5\/20 - 7*m**4\/12 + 5*m**3\/6 - 2*m**2 + 22*m + 29. Let a(f) be the first derivative of p(f). Give a(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 137*d**2 - 2*d.\nAnswer: 137*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 2*b + 181 - 3*b**4 - 186 + b**4 - 2*b**4 to n*b**2 + m*b**3 + w*b**4 + r + y*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + 83*b + 12. Give y(27).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -349 - (6 - 10) - -9. Let x = d - -1678\/5. Find the common denominator of x and -34\/73.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 5*j - 79, 2*j + 26 = -228*c + 230*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78426229?\nAnswer: 7, 151, 74197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92067377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3010, 2986, 2946, 2890, 2818?\nAnswer: 2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/50*210\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-418)*49\/(-196).\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-60)*(-26)\/(-12)*4 + -3. Let d be 4\/(-6) + (-1)\/(-1). What is the nearest to d in b, 2.5, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 3. Let p be u(2). Let j be (-2 - p)*4 - (-370209)\/(-180). Let n = j - -6200\/3. Calculate the common denominator of 99\/4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -532*v - 2615, -311*f + 316*f - 60 = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -8478 + 22842. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 4 + 1232\/21 + (-2)\/3?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y + 3*y - 4*y. Let q(x) = -4*x. What is f(q(w))?\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193382829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6014 or 2194648\/365?\nAnswer: 6014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 6*c + 8. Let t be i(6). Let o(k) be the first derivative of k**4\/4 - 3*k**3 + 9*k**2\/2 + 3*k + 1. What are the prime factors of o(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddkkddgg. Give prob of picking 3 d and 1 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j - 82. Let s be f(5). Let z = 1 - 1. Suppose z = s*t + t. Solve t = -5*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 1036 = -2*r - i, 0 = 5*r - 5*i - 2850. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 25 = 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 11:02 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10102.51828 rounded to the nearest 10?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 19 = -2*h + 23, 10 = 2*q + 5*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15626 and -2.\nAnswer: 15624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 8*i + u - 201 = 0, 5*i - 4*u = 522. Is ((-17)\/(i\/(-1044)))\/2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10)*(-807)\/3228?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.5 (c) -174 (d) -1\/9 (e) 0.1 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 5*a - 1. Let f be k(6). Suppose -5*q + 3*u = -53, 12 = 3*q - f*u - 23. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1133 = -19. Let s = -521 - -303. Let x = 266 + s. Calculate the highest common divisor of o and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16)*60\/75\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**3 - 17*j + 17. Let l(k) = 3*k**3 - 8*k + 8. Give -6*f(r) + 13*l(r).\nAnswer: -3*r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*x + 26*x - 178*x**2 + 26*x + 189*x**2 - 116*x**3 in the form w*x**2 + g*x**3 + b + o*x and give g.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1076636, -2153272, -3229906, -4306538, -5383168, -6459796?\n\"Answer: w**2 - 1076639*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in minutes?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/33)\/((78\/(-33))\/26)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7866353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.6283 - 0.3717. What is the fourth smallest value in 2\/7, 3\/2, k, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - -23. Let m(x) = -11 + 11 - i*x**2. Let w(p) = -31*p - 12. Let a(n) = -21*n - 8. Let z(j) = -3*a(j) + 2*w(j). Give m(z(b)).\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -144. Let x = q - 12. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/10 and 149\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(68\/(-93)))\/6. Let z = p + 12\/17. Let f = 10 - 15. What is the nearest to 1 in z, 5, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 58 = 2*o - 0, 5*q + 2*o = 124. Calculate the remainder when 1446 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaissseiiaidaids. What is prob of sequence ed?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 63 - 5*n**2 + 26 + 16 to the form h*n + v*n**2 + m and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/21*6*7\/(-140)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*n - 819 = -832, -3*h - 3*n = 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -11. Suppose 41 = 3*n - j*a, 2*a + 46 = 4*n - 18. Let w = 43 - n. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 8 - (-26 + 25)) + 13 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/63039 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8863861967 less than 4?\nAnswer: 7.8863861967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (4\/(-4) - 6). Let x(a) = 1 - 2 - 6*a + 2*a. Let i be x(f). Solve 0 = 5*v - i - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Let h = -5 - -10. Suppose -h*o - 15 + 0 = 0. Put o, 1\/2, w in increasing order.\nAnswer: o, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27\/422, -1\/4, 18 in decreasing order.\nAnswer: 18, -27\/422, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 4*s, -3*s - w = 2*w + 3. Let j(v) = -5*v**2 - 4*v + 6*v**2 - s + v - 3*v. Give j(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -37 (b) 3 (c) -2\/7 (d) 0.4 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156304 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-12)\/(-4)*(-4)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**6\/720 - h**5\/60 + h**4\/12 + 4*h. Let t(o) be the third derivative of a(o). Give t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 - -165. Solve p = 3*p - a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1713 - 1711. What is the least common multiple of m and (-112)\/(-10) - (-2)\/(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {e: 3, d: 1, r: 2, a: 1, j: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -472.93 + 519.848. Let y = j - 47. What is y rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1092, -2173, -3250, -4323, -5392, -6457?\n\"Answer: 2*f**2 - 1087*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7087\/88 + 890\/11. Which is the biggest value? (a) 5 (b) -4 (c) q (d) 1 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 391 + 1489. Let y = -117 - k. Let u(s) = s + 1. Calculate u(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 - 142*p**2 + 95*p - 41. What is the remainder when 68 is divided by d(-48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(475) + -2 + sqrt(475) + -3 + sqrt(475)))**2 - ((sqrt(475) - ((sqrt(475) - (0 + sqrt(475))) + -1)) + sqrt(475) + 2)**2.\nAnswer: -3810*sqrt(19) + 105591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 22966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:18 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 368 = 10*d - 6*d, -5*d + 445 = -5*x. Let n = d + -72. Suppose y - 47 = -y - p, -2*y = 5*p - 67. Calculate the greatest common factor of y and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992117.\nAnswer: 3, 37, 131, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -28. Let b = 0 - 55. Let x be ((-198)\/b)\/(q\/10). Solve 4*f + x = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -45*o**2 + 13*o + 14. Let m(h) = h**2 - 2*h - 2. What is 6*m(r) + v(r)?\nAnswer: -39*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 3}. What is prob of picking 1 k and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2*(0 - -1). Suppose n - 4 = 0, -n + h*n = -5*a + 1004. Round a to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 8 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2274 = -213*l - 4149 - 8775 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*-1*sqrt(192))**2.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from {l: 6, y: 2, k: 4, j: 1, h: 3, n: 2}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502016.\nAnswer: 2, 11, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/9, 0.4, -2\/21, 5116?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-130*g + 16*g - 3490 + 93*g + 20*g)*(-g + 2*g - 2*g) to the form z*g + a + x*g**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/430 and 31\/13520232?\nAnswer: 67601160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21221011 - 12?\nAnswer: 21220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 3*o - 3*o + (-o - 4 + 4)*(0 - 5 + 2) to the form v*o + h and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1853*s**2 + 9283*s - 88. Give v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27b70 + 1?\nAnswer: 27b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210116.34 months to decades.\nAnswer: 1750.9695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + u**2 - 2*u**2 + (-2*u - u + 0*u)*(-5*u + 5*u - 5*u) as b + z*u**2 + a*u and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 233133332?\nAnswer: -233133402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/419, 7\/2, -0.1, 22 in decreasing order.\nAnswer: 22, 7\/2, 5\/419, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91535.88 rounded to the nearest one hundred?\nAnswer: 91500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -27. Suppose -x = -3*k - 0. Suppose 0 = -0*h - k*h. Solve 5*z + 2 - 7 = h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113\/411 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -16. Suppose -2*h + 9 = -j*h. Let m be 0\/h - (-2 + -19). Solve 5*v = -4*b - m, -3*b + 2*v = -0*b + 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 g when three letters picked without replacement from {k: 1, d: 2, g: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence niie when four letters picked without replacement from {d: 3, i: 2, n: 1, e: 1, u: 4}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - 102\/(-14). Suppose 305 = -l*f + 12*f. What is the remainder when f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(-1 + sqrt(68)) + sqrt(68) - sqrt(68)) + (sqrt(68) - 1*sqrt(68))*-6 + sqrt(68) + -5)*-3*1 + -2)**2 + 2.\nAnswer: -2604*sqrt(17) + 30951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 6 = 0, -2*c + 5*k = -1240 - 635. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148048 and 12464.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((1 - 3) + 16)\/((-4)\/(-8)). Calculate the highest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18753088 and 4402?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c**3*g**2 - 2*c**3*g*s**2 - 2*c**2*g**2*s**2 - 4*c**2*g**2*s + 2*c**2*s + 2*g**2*s wrt c?\nAnswer: 66*g**2 - 12*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*f + 6720, 13791 = 5*f - 2*k + 2588. Is 83 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2. Suppose 6*o + 12 = 12*o. Let d(b) = 4 - 1 - 3 + o*b. Calculate j(d(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -17. Suppose b*w - 1 = -5. Let p = 0.04 + 0.06. What is the closest to p in w, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1765*0.04.\nAnswer: 0.00706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/5 + 59832*q**2\/5 + 2860596*q.\nAnswer: 4*q*(q + 243)*(q + 14715)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 25 - 401*r - 11 + 4*r - 6*r - 3*r + (0*r + 0*r - r)*(-1 + 3 + 0) to the form n + y*r and give y.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-35))\/((-680)\/560)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1)\/((-4)\/(-2)). Suppose z*i = 2*i. Suppose -2*l - 3*l + 5 = i. Which is bigger: -1\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144.00151 + -144. What is q rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5409, 21632, 48667, 86514?\nAnswer: 135173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 12, 2*c + 32*m - 17*m + 100 = -12*c + 11*m for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-4\/5))*x\/((x**(1\/2)*x)\/x))\/(x*x*x**(1\/15)*x*x*x*x)**(-1\/75) assuming x is positive.\nAnswer: x**(3107\/2250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/7 - 374*q**3\/7 - 9878*q**2\/7 - 52546*q\/7 - 43044\/7 = 0.\nAnswer: -17, -6, -1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 570631732?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - (-40)\/(-5))\/(-2). Put -21, -2, l in decreasing order.\nAnswer: l, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + 3))*5 + ((sqrt(2)*1 - sqrt(2)) + -4 - sqrt(2)).\nAnswer: -19 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 1:33 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*u**2 - 1)*(0*u + 0*u - u**3) + (-5*u**2 + 3*u**2 + 3*u**2)*(-4*u + 4*u - u**3) - 4*u**5 + 16 + 2*u**5 + u**5 + 14*u**5 - 3*u**4 + 3*u**4.\nAnswer: 9*u**5 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*((r*r*r*r*r\/(r*r**(-1)*r))\/r)\/r)**(-49)*r\/r**(-4\/9)*(r\/(r**(8\/5)\/r))\/r assuming r is positive.\nAnswer: r**(-8782\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -5*k**7\/42 + 5*k**6\/6 - k**5\/2 - 35*k**4\/6 + 5*k**3\/2 + 45*k**2\/2 + 534*k - 1. What is g in r(g) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/12 - r**3\/3 - 3*r**2\/2 - 2*r. Let m(h) = h**3 + 7*h**2 - 8*h - 2. Let q be m(-8). Calculate a(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 965665978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -30*d + 20*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -17*w + 7 + 31*w + 2 - 11*w - w**2. Let j be r(5). Let i = 13 + -12. Which is the closest to j? (a) i (b) 6\/11 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*m - 345341, 4*m - 345404 = -12*b + 8*b. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924218429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 1 + 15. Suppose t - 3*o = -2*o - 5, -s*o + 8 = -2*t. Let n = t + 12. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd70e + 5?\nAnswer: -cd709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -33?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 11.2. Which is the third biggest value? (a) 2 (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from jujwpjqzzpqpjpp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46865\/15965 - (0 + 3).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = d - 7, -58*p + 59*p = -9*d - 48 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 15*h - 18. Suppose 0 = 7*s - 445 + 361. What is w(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + 4 + (0 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 73*s - 587. Calculate the lowest common multiple of 453 and t(-9).\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01175 - -5.\nAnswer: 4.98825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1\/3 (c) -0.4 (d) 4.0575\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6818, -12321, -21492, -34331?\nAnswer: -50838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*k - 5272 + 17383, 3*u - k = 9126. What is the greatest common factor of 12 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + (-5 - 0) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/290430 and 97\/630.\nAnswer: 290430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and 12926272686.7.\nAnswer: 12926272686.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*o + 10*h - 6, -4*h - 3 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/1089 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 0*i + 2*i)*(3 + 3 - 4 + (155 - 20 + 6)*(2 - 6 - 2) + (2 + 0 - 3)*(0 + 1 + 1) - 4 + 6 - 4) in the form q + j*i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 0\/(1 - -1). Suppose -4*s = -8, -26 = 3*b + s - f*s. Let l be 3\/(((-30)\/b)\/(-5)). Sort 1, l, -1.\nAnswer: l, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 2*l**2 + 4*l + 3. Let u be g(3). Let f = 54 - u. What are the prime factors of 5\/(f\/404)*(-9)\/(-6)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683393 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 2784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 1. Let d(y) = 37*y + 23. Let u(c) = 13*c + 8. Let a(f) = 3*d(f) - 8*u(f). Determine 2*a(o) + 9*z(o).\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 328504 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 3*f - 393 = -34*m, 1965 = 5*m - 3*f. Is 55 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9529096453334 - -9529102568911.700039. Let j = -6115575 + a. Let b = -2.7 + j. Round b to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*k + 14. Suppose -k*m + 36 = 4*d - 2, 5*d + 2*m = 46. Solve 4*z + 2*y - 17 = -7, 3*z + 2*y = d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 3, -0.4, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3 = -35*c + 32*c, -5*c = -3*x + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7*g - 10. Is 48 a factor of 1 - (-1)\/g - 2105\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05176861*28.\nAnswer: -1.44952108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22213 and 1863079.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7104 - 7388 = -4*d + 2*a, 4*a + 10869 = 3*d. List the prime factors of d.\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -0.2, 5 in descending order.\nAnswer: 5, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9 = -16. Suppose -3*m + 126 = 3*m. List the prime factors of m\/105 - (-134)\/s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.02 (c) -2 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 6*a + 11. Determine h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnbbnnnnbbbnnnbnb. Give prob of sequence bnn.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-21))\/(4\/(-6)). Suppose -q + 3*l = -15, -11 - 14 = 5*q + 5*l. Let c = g + q. Let s(u) = -u**2 - u + 1. Calculate s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45582 divided by -7597\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*f - 4*f. Calculate the least common multiple of f\/(-2) - -1*6 and (3\/9)\/((-3)\/(-108)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-32)\/6))\/((-6)\/(-1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42\/13753 - 810587\/275060. Calculate the common denominator of (-60)\/43 - 3\/(-6) and m.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q - 15*q + 48*q + 5 - 17*q.\nAnswer: -4*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(275) - (sqrt(275) + (sqrt(275) - (sqrt(275)*-2 + 1))) - ((sqrt(275) + 5 + sqrt(275)*-1)**2 - sqrt(275)))*3.\nAnswer: 360 + 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - j**2 - j + 1. Let m be k(1). Let v be (-11)\/(-5) - (m - -5). What is the closest to 1 in 0.5, v, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/21*h**2 - 2\/21*h**3 + 0 + 2\/7*h.\nAnswer: -2*h*(h - 1)*(h + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 5*g + 6. Let j be x(-4). Let i = 17717\/8 + -2214. Are i and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 + -115. Let z = g - 23. What is the third smallest value in 4, z, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(n + 2 - 2) - n + 0*n + 2*n + 2*n + 2*n - n - n + 1 - 1 + 2*n - n - 2*n - 3 + 3 - 2*n - 2 - 2*n + 2 + (0 - 5 + 4)*(-4 + 4 - n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -868 + 960. Solve q*r = 94*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, f: 2}. Give prob of picking 3 h and 1 f.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rssrrvcrsssvrssursss. What is prob of sequence urrs?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 335022 + -4?\nAnswer: 335015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 280445.3 nanoseconds in milliseconds?\nAnswer: 0.2804453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7024378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1362\/7 + 1363\/7. Let o = -13.3 + -1.7. Put -2\/3, o, a in decreasing order.\nAnswer: a, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**6\/6 + 38*u**3 - 397*u**2\/2 - 7. Find the second derivative of p(w) wrt w.\nAnswer: 20*w**3 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 210 = -33*y. Is y < -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 2*i**3 - 2*i**3 + (-4 + 4 - 1)*(4*i**3 + 2*i**3 - 4*i**3) + (-8 + 14 + 20)*(-106 + 106 - 5*i**3) + 0 + 0 + i**3 - 2*i**3 + 4*i**3 - 4*i**3.\nAnswer: -135*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 6*m)*(-2*m + 3*m + m) + 979*m**2 + 122*m**2 + 206*m**2 - 24*m**2.\nAnswer: 1295*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2*a)*(a + 2 - 2) + 2*a**2 - a**2 - 2*a**2)*(-95*a**2 - 148*a**3 + 95*a**2).\nAnswer: 444*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36005833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3783 (base 16) to base 5\nAnswer: 423321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -325*i - 16. Let y be u(12). Is (1 + 0)\/(y\/1306 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4394731 is divided by 3292.\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9))**(-32))**(-36)\/((m\/(m*m*m**(-2\/23))*m)\/(m**(2\/9)\/m*m)*m*m**(-6\/7)*m*m*m\/(m**(-1\/2)*m)*m*m) assuming m is positive.\nAnswer: m**(-754951\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.05, -225\/74?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4581 + 6641. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-4)\/80*6\/(-4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42ae5 (base 15) in base 16?\nAnswer: 33b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, -4, 133563 in decreasing order.\nAnswer: 133563, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 6*k**2 + 13*k - 17. Let x be u(4). Solve 2*w + 6*m + 14 = x*m, -3*w + m - 10 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38036 - 1?\nAnswer: 38035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1910\/(-32661))\/((-15)\/54)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 638106 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 2091684*y + 10458345.\nAnswer: 3*(y + 5)*(y + 697223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*a**3 - 75541*a**2 + 12*a - 15241133.\nAnswer: 33*a**2 - 151082*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -15 - 74 - (-42 + 52 + (0 - -4))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (211\/4)\/(1\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 9*s**2 - 4*s - 17. Let f be w(9). Let h = f - -151. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iviiiriwr. What is prob of picking 1 v, 2 r, and 1 i?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77922 and 16354.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3 - 2670*z**2 - 779424*z - 65477504 = 0.\nAnswer: -967, -184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.055 (b) -2\/15 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 12. Let c = -4 - t. Suppose 2*v + u - 698 = 0, 2*v + 5*u = c*v - 1021. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/5)\/(12\/520). Let i = l - -56. Solve i*k + 3 = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5077 by -5077.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Let y be -1*(-2)\/(-6)*f. Which is the biggest value? (a) 3 (b) y (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 + 0*y**4 - y**3 - 1 + 0*y**4 to the form j*y**3 + t*y + k*y**4 + q + c*y**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5363 is divided by 1337.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2. Let b(v) = -5 + 4 + 1 + 6*v. Give b(p(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/2789685 and -29\/3409615.\nAnswer: 30686535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(2))\/sqrt(10)*2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462419 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/20 and -17\/340600.\nAnswer: 340600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/3, 1\/3, 4\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9935 - 9934.99995459. What is f rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*(-5)\/(-20))\/((-4)\/16). Is w\/(-3) - (-7 + (-10381)\/21) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.3. Let o = -5\/8 - -9\/40. Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2737*s**2 + 23*s + 16. Let y = 41 + -49. Let p be f(y). What is p rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33\/50 + 529\/650. What is the biggest value in 24, k, -4, 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 10*z - 7*z = 0. Suppose -5*o + 5*d = z, 2*o + 4*d + d = 0. Suppose 3*n + 15 = -2*n. What is the closest to 2 in 10, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 97758.\nAnswer: 488790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663*n - 3*x - 135160 = 659*n, 16 = 2*x. What are the prime factors of n?\nAnswer: 2, 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*q**4 - 1376*q + 183320 wrt q?\nAnswer: 152*q**3 - 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16968 divided by 202?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 5*t + 13. What is m(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**8\/420 + w**7\/210 - 2*w**3\/3 - 13*w**2. Let h(k) be the first derivative of c(k). Factor h(n).\nAnswer: -4*n**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 + 81147*g**2\/2 + 273656736*g - 9627752610.\nAnswer: 3*(g - 35)*(g + 13542)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g - 5 = 0. Suppose p - 3*b = -7*b - 19, 19 = 4*p - 3*b. Let q be p*(-2 + -4*1). Is q >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2 + 6*z**2 + 2*z**2 - 14*z**2 + z**2 + 40*z = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-6) + (-4)\/(-12). Let b(i) = i**2 - 4*i + 4. List the prime factors of b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -211, 0.025, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18837 - -911416886.\nAnswer: 911398049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17367 by 7.\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62435 (base 8) to base 5.\nAnswer: -1312020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let f(n) = -202622168*n. Calculate f(l(s)).\nAnswer: -202622168*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by ((-6)\/(-2))\/(-10 - 1386\/(-138)).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-210) - (-4)\/(-14). Let u = 2.86 + 0.14. Which is the second biggest value? (a) -0.3 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5453557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2480 + -1633. Suppose 0 = 4*f + j - v, -f + 2*j + 0*j + 205 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -521180 by -220.\nAnswer: 2369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-26*(4\/(-2))\/8)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 4, m: 2, j: 1, a: 1, u: 3}. What is prob of sequence mj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8273956 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -6 - 9, -4*r + 11 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 24*h - 2*h**3 + 3*h**2 - 13 + 24*h + 19*h**2 as r*h**3 + v*h**2 + f + x*h and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 99*q - 89*q = -100 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 9:19 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d + 3. Let z(o) = 5*o - 4. Let r = -198 + 195. Calculate r*z(v) - 4*t(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5595625 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 113*v + 62. Let x be k(28). Let t be (52\/(-12) - -1)\/(x\/(-51)). Solve 0 = 4*c - t*m + 2*m + 10, 5 = 5*c + 5*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 + 56*u**4 - 344*u**3 + 656*u**2 - 524*u + 152.\nAnswer: 4*(u - 2)*(u - 1)**3*(u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76\/3 + 25. Let f = 2.734 + 0.266. What is the nearest to 0.1 in f, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190 divided by 1\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:38 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(18\/11)\/s**17)\/(s*s*s*s*s*s**4)**(2\/21) assuming s is positive.\nAnswer: s**(-1249\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**16\/((k**7\/k)\/k)*k*k*k\/(k*k**(3\/2))*k\/(k**(2\/5)*k*k))**(2\/51))**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5337 - 3877 = 1034*k - 1195*k + 3827 for k.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-304)\/16 + -11)*(4 - 66\/12).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-8)*52\/(-6). Let l = 18 - u. Solve -a + 4*a = h + 14, -l*a + 27 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 6181 + 1391. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17383*v**2 + 41157*v wrt v?\nAnswer: -34766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 6*c + 32. Suppose 2*l = 2*h - 18, 16 = -4*l - 0*h - h. Let s be b(l). Round s to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72))**2*-3 - (sqrt(14)\/(sqrt(7) - -1*sqrt(252)))**2 - 4*(sqrt(16)\/(sqrt(64)\/(sqrt(8)*-1)) + -3).\nAnswer: -9998\/49 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*(-3)\/(180\/(-66))*712\/(-9790).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2814*k**2 - 1317*k - 21. Let u(y) = -2814*y**2 + 1315*y + 14. Let f(o) = -2*a(o) - 3*u(o). Find the second derivative of f(d) wrt d.\nAnswer: 5628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2565 divide 54257576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tthtntrrrhntrnrttn. Give prob of picking 2 h.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23a - 0?\nAnswer: 23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.3. Let o = 1.084 + -0.084. What is the nearest to -0.1 in r, o, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 3}. What is prob of sequence auu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 724721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00623703 to 5 dps.\nAnswer: -0.00624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/160704 and -101\/59148.\nAnswer: 8517312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102 and -4295.2.\nAnswer: 438110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 36*z**2 + 0*z**2 + 81 - 50.\nAnswer: -36*z**2 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4200) + (2*sqrt(4200) - sqrt(4200)) + sqrt(4200) - sqrt(4200)) + sqrt(42))\/sqrt(6))**2 + (-1*(sqrt(7) + 0 + -3))**2.\nAnswer: -6*sqrt(7) + 3103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1385 and 6057990?\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 p when four letters picked without replacement from pepepepmm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*n + 30 = 0, 5*s + 3*n - 14 = 44. Let k = 4913 + -4845. Calculate the remainder when k is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxwgcx. Give prob of sequence wjg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52975 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373064171 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284373713 and 6526?\nAnswer: 3263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(104)*1*4 - 3*(sqrt(104) - (sqrt(104)*2 + sqrt(104))))\/(5*sqrt(24)\/sqrt(3) + sqrt(72)*6))**2.\nAnswer: 20800\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {z: 4, x: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 14755522.01 to the nearest one hundred thousand.\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15674482 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 0.370998?\nAnswer: -7.048962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -135.\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 14*w + 2. Let x be r(12). Let i = 3 - x. What is the common denominator of i and 1 - ((-159)\/(-2))\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/294 - 38\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/47220320 and 101\/224?\nAnswer: 47220320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2117 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -358 + 2500\/7. Suppose -5*g = -5, -3 = -4*w + 5*g - 0*g. Suppose -5*v = -w*b + 8, 0*v + 4*v + 5*b = -13. Which is bigger: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g*h**3 - 46*g*h**2 + 29*g*h + 400*g - 13*h**2 wrt h?\nAnswer: 18*g*h - 92*g - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 81\/9)\/(-262 + 35 + 26).\nAnswer: -1\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-4)\/72*-48. Is 5 - (c - -12 - (1894 - 2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1012891 by -62.\nAnswer: -1012891\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 3*z - 4*z)*(0 - 2 - 2)*(z**3 + 3*z**3 + 2*z**3).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 18 = 5*z + 13, 2 = -4*f + 2*z. Suppose -5*l + 785 - 2935 = -4*h, f = -3*h - 5*l + 1595. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 88*t + 3 - 87*t + (-7 + 3 + 2)*(-2 + 2 + 3*t) to the form r*t + l and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**2 + 7\/4*y**4 + y + 2 + 1\/3*y**3. Let t be p(1). What is the greatest common divisor of t and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371729739 divided by 648743.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + g + 2 = 0, 3*g - 5*g = 3*u + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let w(a) = -a + 1. Let o(z) = 2*v(z) + 3*w(z). Let t(n) be the third derivative of n**4\/12 + 5*n**3\/6 + 5*n**2. Determine 5*o(k) - 3*t(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 15 = d, -6*d - 2*g = -2*d - 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1481798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-8) - (26\/(-30) + -1) and -74\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1044 + 986*c + 337*c - 525 - 15918*c**2 - 518 + 6254*c**2 wrt c?\nAnswer: -19328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -0.2. Let l = 484 - 480. What is the fourth smallest value in 4\/5, -3, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 831 (base 10) to base 12\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -12313256.\nAnswer: 738795.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179208 by 3.\nAnswer: 59736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-1062)\/(-7788)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2346\/(-187) - (64 - 44020\/682)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*y - 32, -7*i + 5*y + 43 = -3*i. Suppose 20*z - 12416 = -i*z. Does 42 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10 + 8 + 2*a in the form d*a + q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-36)*(5 - -2 - 75\/(-15)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 1073333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35916.\nAnswer: 2, 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.144 - 0.082. Let d = g - 0.774. What is the third smallest value in 2, -15, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 2)\/(1\/2). Suppose -b - 13800004 = 3*i + 3*b, 0 = -4*b - j. What is i rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 0*d = 0. Suppose -w - 4*p + 10 = -1, -5*w + 2*p + 11 = 0. Suppose 4*k = l - d*l + 13, w*k = 3*l + 3. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -90*l + 307*l + 120*l + 3. Is h(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k - o + 68 = -80*k, 55*k + 4*o = -703 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**2 - 5 + 1\/3*b**3 - 5*b. Let c be h(4). Solve c*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -8)\/(-3) + 15. Suppose 0 = 3*l + 1 - t. Suppose l*j = -4, 4*k + 4*j + 8 = -0*k. Which is the biggest value? (a) -0.3 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from zzvzzzzvzzzz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 958 and 244290.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 217a3 - 2?\nAnswer: 217a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 3\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssk when three letters picked without replacement from keehesseses?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 646905.2.\nAnswer: -10997388.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -491 in 4, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(364)\/sqrt(7))\/sqrt(4) - (sqrt(13) + -4)*-2)**2.\nAnswer: -48*sqrt(13) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 22*m - 17*m - 10 = 0, -6*m - 2 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318.3981 centuries to months.\nAnswer: 382077.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*c + 181*c - 85*c**2 + 95*c**2 in the form f*c**2 + q + g*c and give g.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -46*k + 11. Calculate i(6).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0768 plus 19123?\nAnswer: 19123.0768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 102*j - 62. Let k be a(18). Suppose 12*s = k - 154. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2. Let a(f) be the second derivative of -225*f**3\/2 + 442*f + 3. Determine a(s(b)).\nAnswer: -2025*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24488869 and 1405.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*(-12)\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + -6 + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 336 or 298?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -419.4 - -421. What is the second smallest value in 4, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45, 60, 81, 108, 141?\n\"Answer: 3*u**2 + 6*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 88700*t + 9959488.\nAnswer: -2*(t - 44462)*(t + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 671*q. Let m(c) = -96556*c + 2. Determine m(l(s)).\nAnswer: -64789076*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66099 or -66100?\nAnswer: -66100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 282*a**2 - 46*a + 91894. Calculate f(281).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 92 - 12. Suppose -3*n = i + z + 2, 2*i - 2*n = 12. Solve -2*j + i*j = -3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 5. Calculate s(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/140 and 33\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 6*q - 1258 = 0. Let n = q - -166. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4\/51, -2, 2\/257?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 18 = 2*j - 20*o, -4*o - 33 = -7*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/4 - 6. Which is greater: p or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53196 and 299332?\nAnswer: 361892388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 3*d + 2. Suppose 0*y - 2*y + 5*a - 20 = 0, -2*y + 3*a - 12 = 0. Suppose 0 = -3*u - y*u + 9. Let c be k(u). Solve -z - c = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 10:23 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72\/113? (a) 1\/2 (b) -2\/11 (c) 0.03 (d) -0.01 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258 and 9073.\nAnswer: 54438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7384 and 52?\nAnswer: 7384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12860d - 3?\nAnswer: 12860a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67757 is divided by 9468?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6500 (b) -6\/125 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 divided by 9805.\nAnswer: 3\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c. Suppose 0 = q - 99*j + 104*j - 61, j + 56 = 2*q. Let h(s) = s**2 + s + 1. Let p be h(-6). Let m(i) = 16*i - q + p. What is m(b(v))?\nAnswer: 80*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - (-6 - -3 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 9 - 3. Let n(j) = -3*j**3 + 2*j. Let x(v) = 30*v**3 - 21*v. Let c = -150 - -188. Suppose c - 122 = -4*u. Determine a*x(o) + u*n(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/33 (c) 0.284 (d) -0.2 (e) -24\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743 - 203 = 60*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114888 + -46580. What is the ten thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = -9*f. Solve 0 = 3*z - 2 - f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11211221310 (base 4) to base 6.\nAnswer: -51222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102 + 16*m + 102 + 4*m**3 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -35*m - 10. What is the units digit of a(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 54*a**3 + 148*a**3 + a.\nAnswer: 202*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8378656.\nAnswer: 2, 11, 13, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwuuwwccuw. What is prob of sequence ccuu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 4*j**3 - 4*j**3 - 2*j**4 - 2*j**4 - 3*j**4 - 2*j**4 + (-j**4 + 2*j**4 - 3*j**4)*(2 - 2 - 2).\nAnswer: -5*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = m + 77. Let u = 163 + m. List the prime factors of u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) -22\/49 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*s = 10, -6*s + s = -4*v + 23. Let q(d) = 10*d**2 + d - 1. Let p be q(v). Let n = p + -5. What is the highest common divisor of n and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/10)\/(1\/(-838)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Let z(y) = -21*y**2 - 18*y + 9. Let k(j) = -5*j**2 - 4*j + 2. Let x(a) = -9*k(a) + 2*z(a). What is x(m(n))?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y - 11 - 0. Is (0 + -1)*-2411 - (y - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/308)\/(-5*7\/1540)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + 109. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216 + -215.7. Which is the closest to 2? (a) s (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 11*d = 32 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000835687321 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78790*p**3 + 26265*p**3 + 26266*p**3 + 2*p + 26264*p**3 - 2*p.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.824974 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 26 + 64. Let p = 53 + k. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21173 - 21010 + 808*d**2 - 834*d**2 to the form k + z*d + j*d**2 and give k.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 9, -m = -5*m - 3*j + 45339. Suppose 3*i - 5*i = 2*o - 22680, m = i + 4*o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 10, -4*k + 2*k + 5*p - 4 = 0. Let u = -0.34 - -18.34. Let z = 78366\/7 - 11195. Which is the second smallest value? (a) 0.4 (b) k (c) z (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**5 - 2*y**4 + 2*y**3 + 15*y**2 - 20*y + 10. Let l(k) = -k**5 - 2*k**4 - k**3 - k**2 - 2. Let d(w) = l(w) + s(w). Factor d(t).\nAnswer: (t - 2)**2*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 + (-714)\/(-78)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-2)\/(-2))*0. Suppose 2*h = z - 0*h - 6, f = -2*h - 2. Solve -6 = -z*j - g + 6, -5*j - 10 = -5*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, -4, -0.03, -51, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057891 rounded to 3 decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 15*r + 16*r - 11 = 0, 4*r = 4*q + 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10547*p**3 - 18078 wrt p?\nAnswer: -31641*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1062342, 1062373, 1062394, 1062399, 1062382, 1062337?\n\"Answer: -w**3 + w**2 + 35*w + 1062307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 + 5708*n\/5 + 5707\/5.\nAnswer: (n + 1)*(n + 5707)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265 + -254. Suppose 5*c - 230 = -0*f + 5*f, -2*c + 4*f = -98. What is the remainder when c is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27083 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -473969.78 rounded to the nearest 10000?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001100011111 (base 2) in base 10?\nAnswer: 25375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4559 - 18235\/4. Factor g*m + 0 - 1\/4*m**2.\nAnswer: -m*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p + 155*p = 3636. Solve p = 6*o - 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 53. Let a(d) = d**2 + 3*d. What is the remainder when -2 - f*(-3 - -2) is divided by a(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + -2 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/90 and 1290\/2700 + 3\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308 by -77.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 375*a**2 + 2*a - 555*a**2 + 179*a**2.\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.2 (c) -364 (d) -7064\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38815078*0.1.\nAnswer: 0.038815078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2655 + -10619\/4. Let o(d) be the second derivative of l*d**5 + 0*d**2 - 5\/3*d**3 + 5\/12*d**4 + 0 - 8*d. What is n in o(n) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/42 + 946\/231. Suppose -166 = -r - 3*p, 9*p = h*p. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34342004, 34342003, 34342002, 34342001, 34342000?\nAnswer: 34341999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 623191702 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 + 6 = 0. Let j be r\/(-2)*(-3 - -3). Suppose 4*f + 2 - 6 = j. Let t(u) = -7*u**3 + u**2 - u + 1. Determine t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and -99.713.\nAnswer: -99.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/63 and 20\/171.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -566*q**2\/13 - 2250*q\/13 + 56\/13.\nAnswer: -2*(q + 4)*(283*q - 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -30.6. Let i = 2 - 0. What is the second smallest value in o, i, -2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15*(2 - (-24)\/(-10)). Let s(r) = -r**3 - 5*r**2 - 4. Let c be s(l). Suppose 5*x + 2 = 42. What is the highest common factor of c and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4*(-6)\/(-336)*38\/76*-3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187\/6 + -31. Is o equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (265 + 113825*v - 113825*v + 25*v**2)*(v - v + v**2) in the form k*v**2 + q*v + r*v**4 + b*v**3 + h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1793, -5, 2, -0.3, -26 in ascending order.\nAnswer: -26, -5, -0.3, -2\/1793, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugv when three letters picked without replacement from uvvuvguuuuuuuggvvug?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 972907 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13425210378 divided by 6?\nAnswer: 2237535063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 52 = 4*x, -3*x + 2*c + 23 = -3*c. Calculate the greatest common factor of x and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.82 and -3.794.\nAnswer: -4.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6*y\/(y\/(y\/(((y\/y**7)\/y)\/y))*y*y))\/(y**0\/y)**(5\/13))**11 assuming y is positive.\nAnswer: y**(1914\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 15\/(-21))\/((-3)\/(-84)). Let t = s - 46. Suppose -6*z - t*z = -256. What is the smallest common multiple of 20 and z?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -728 - -1059. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*i**3 - i + 1 + i + 48*i**3 - 12*i**4 as w*i + m*i**4 + s*i**3 + h + x*i**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/123580 and -66\/40915?\nAnswer: 6055420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2068000 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1228*x**2. Let d(b) = 0*b**2 + 0*b**2 - b**2 + 347 - 347. What is j(d(q))?\nAnswer: 1228*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/20)\/((-1)\/4)*-97. Let v(w) = 25*w - 7. Let g be v(6). Let p = g - l. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**2 - 4*g - 96. Let n be t(-14). Find the common denominator of 89\/136 and 5 - n*4\/1088.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 251 and 5.2.\nAnswer: 1305.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 656423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (370\/8)\/((-60)\/88*253\/(-138)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26767*a**2 - 28006*a**2 + 16490*a**2.\nAnswer: -38283*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129127 is divided by 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 128690411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 760895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843 is divided by 683?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*(-376)\/282?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21531 (base 7) to base 10.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 18 - 6. Let o be (-15)\/(-9)*(0 - y). Let g(s) = -s**3 + 3*s**2 - 3*s + 2. Let d be g(2). Put d, o, -1 in ascending order.\nAnswer: -1, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from eehehlhelleee?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {l: 2, q: 4, o: 1, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {t: 2, e: 9, y: 3, w: 2}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3453258015 - -0.2\nAnswer: -3453258014.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5364 + 12?\nAnswer: -a5352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 7) to base 6\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2960 divided by -3?\nAnswer: 2960\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 145\/13 - 36\/234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = k. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjwj when four letters picked without replacement from {n: 2, j: 4, q: 3, k: 2, w: 2}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61 minus 0.020385?\nAnswer: -0.630385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 = -0*w. Let k = -3 + w. Let n(q) = 6 + 0 + 6*q**2 - 2*q - k - 3*q**2. Let g(m) = -10*m**2 + 7*m - 7. Calculate 2*g(b) + 7*n(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102242.734 + 3.\nAnswer: 102245.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + -2*(sqrt(448) + 0) - (1 + (-1 + sqrt(448) + -2)**2))*3.\nAnswer: -8172 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97551 - -880150\/9. Let y = l - 243. Is y equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62714128 is divided by 8382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-18) - (-145)\/675*3. Let a(x) = 13*x**2 + 2*x - 6. Let s be a(4). Let t be ((-2)\/5)\/((-3)\/s). Is t <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 + 6035*w**4 + 203930*w**3 - 1368820*w**2 + 2834600*w - 1922080 = 0. What is w?\nAnswer: -1172, -41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siiisii. Give prob of picking 2 s and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3467, -7098, -10729, -14360, -17991, -21622?\n\"Answer: -3631*n + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84609129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**4\/6 - 31*x**3\/6 + 9*x**2\/2 + 1143*x - 2. Let s(v) = v**2 + 15*v - 4. Calculate 4*f(k) + 9*s(k).\nAnswer: k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 7.24, 0.5, 4 in increasing order.\nAnswer: -0.6, 0.5, 4, 7.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1699*h + 62962. Determine u(37).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19\/(4788\/981816) + (-8)\/84.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 8:11 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 38 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -5*j - 9958. Suppose -r - 999 = -6*n + 5*n, 5*n + 3*r - j = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 25*t**2 + 5*t - 84. Let m be a(-12). Factor -2\/9*y**2 + m + 2\/9*y.\nAnswer: -2*y*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21233 (base 4) in base 7?\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*d. Suppose d = 2*r - 0*r - 8. Is 4 a factor of 24\/r*16\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0101486 + 127.9989514. Let l = 2.61 - 130.61. Let y = j + l. Round y to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*s - 154*s + 160 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424, -759, -1154, -1603, -2100, -2639?\nAnswer: -3214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -38\/25803, 0.09, 0?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35225222 (base 6) to base 10.\nAnswer: 1092398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4892, -19933, -45008, -80117?\n\"Answer: -5017*g**2 + 10*g + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -173757503, -173757498, -173757489, -173757476, -173757459, -173757438, -173757413?\n\"Answer: 2*a**2 - a - 173757504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-42))\/(2\/8*5). Let j = 632.95 - 633. What is the nearest to n in 0.1, j, -4\/5, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.65 and 30.730184876.\nAnswer: 31.380184876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 1530990.\nAnswer: -9185940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*f - 14 = 0, 0*f = -2*j - 5*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**4 - t. Let f(d) = 5*d**4 + 14*d. Let z(x) = 4*c(x) + f(x). Find the second derivative of z(p) wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -605*s + 5. Let w(y) = y - 4. Calculate w(l(c)).\nAnswer: -605*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-90))\/(22\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 8 + -1 + -32 + 7 + 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-6)\/60*1\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18853974?\nAnswer: 2, 3, 23, 45541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2912151 and 68\/285505.\nAnswer: 14560755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -33766816*v**3 + 43871*v**2 - 1228388*v. Let l(d) = -4618*d**3 + 6*d**2 - 168*d. Determine -6*f(a) + 43871*l(a).\nAnswer: 4618*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 20, 3, -0.5, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -9. Suppose f*c - 20 = 2*z - 0*z, 0 = -4*c - z + 12. Find the third derivative of -c*h**2 - 2*h**2 + 3*h**5 + h**5 - 2*h**5 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2896231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*n = 230, -28*n + 27*n - 727 = -7*u. Suppose 0 = -3*d + 3*r + 24, 4*r - 23 = 2*d - 3*d. What is the remainder when u is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0655 less than -2?\nAnswer: -5.0655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 3*w**2 + 3*w + 4. Suppose h - 9 = -h - 3*k, 0 = -h - 2*k + 4. Suppose -25 = -i + h*i. List the prime factors of y(i).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**5\/3 + 625*t**4 + 159160*t**3\/3 - 3108880*t**2\/3 + 5080320*t - 12293120\/3 = 0?\nAnswer: -196, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/105910 and 59\/14869764.\nAnswer: 74348820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 - -5.2. What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = 2*p + 3*p. Suppose -2*a + 3*z - 2*z = -48, 0 = 3*a - 5*z - p. Suppose 5*r = 4 + 21. What is the remainder when a is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16812 + -16787. Solve b = i + 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1656\/13 (b) 4\/9 (c) 27 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 517 and 385.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -142, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oouu when four letters picked without replacement from {u: 2, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27945 and 110745.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, h: 5, v: 1, y: 1, l: 4}. What is prob of sequence hvlh?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7193*r**2 + 39799*r**2 - 1260 + 1260.\nAnswer: 32606*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, 22, 18?\n\"Answer: -4*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2 - 0)*2. Let x = 2.1 + 0. Let o = x - 1.1. What is the nearest to o in 1\/2, 0.4, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 2770?\nAnswer: -2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2022?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 28*c - 2. Let y(l) = l**2 + 23*l. Calculate y(t(f)).\nAnswer: 784*f**2 + 532*f - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(98)\/sqrt(2)*2)\/(-1*sqrt(7)*4) - -4*(sqrt(2268) - (sqrt(2268) + -1*sqrt(2268) - sqrt(2268)))\/(sqrt(36)\/sqrt(4)*-6).\nAnswer: -17*sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 7*p**4 - 3*p**4 + (-3*p**2 - 3*p**2 + 4*p**2)*(4*p**2 - 2*p**2 - p**2) + 9*p**4 - 7*p**4 - 13*p**4.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/4 - d**3\/6 + 6*d**2 - 4314*d. Calculate u(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.022238923\nAnswer: 0.0022238923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14137 + -14090. What is the nearest to 3\/4 in -5\/3, 1\/5, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-6))\/d)\/d)\/d*d**(-6))**(-1\/19) assuming d is positive.\nAnswer: d**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*a - 1285, -4*a = -4*b - 2237 + 497. What is the least common multiple of a and 55?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 7184010763045.\nAnswer: 7184010763044.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 2*l**2 + 2*l**2 - 4*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -421, -1594, -3449, -5896, -8845, -12206, -15889, -19804?\n\"Answer: 15*o**3 - 431*o**2 + 15*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 138*v**3 + 3*v**2 - 73*v - 73. Give c(-1).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 20 = 4*x - 4*f, 2*x - 3*f = 11. Suppose -x*d - 2*k + 128 = 0, 0 = d + 3*k - 9 - 13. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 78860, 157723, 236594, 315473, 394360, 473255, 552158?\n\"Answer: 4*m**2 + 78851*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 64\/87343?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 65 = -4*w, -3*y + 2*w + 80 = 19. Let f = y + -6. Calculate the remainder when ((-4)\/3)\/((-2)\/48) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2757 and 133\/216.\nAnswer: 198504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceooooocoollolococ. What is prob of sequence locc?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1676 - 1672. Solve -3*d - 3*l = -z*d - 2, -23 = 5*d - 2*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 201*o**2 - 8842*o - 58. What is q(44)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*sqrt(26)*-2)\/((-1*sqrt(14))\/sqrt(7)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*n**2 + 45*n**2 + 48*n**2 + (5*n - n - 5*n)*(0 - 2*n + 0) - 1 - 16*n**2 + 1.\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1519.941 + -0.2.\nAnswer: 1519.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -3*d, d + 16 = -0*d + 4*w. Suppose -4*c = 3*x - 210, d = 4*c - x - 153 - 65. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(2\/99)*c)*c**(-34)*(c**(7\/5))**(-3) assuming c is positive.\nAnswer: c**(-19414\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-84) - (-38)\/(-42). Which is the third smallest value? (a) 7.4 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13805473.8 to the nearest 1000.\nAnswer: -13805000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (660\/550)\/(-18*12\/(-9360)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let v(g) be the third derivative of -g**5\/60 - 3*g**4\/8 - 8*g**3\/3 + 3*g**2. Let q be v(-6). What is k(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.030988 * -5.193\nAnswer: 0.160920684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0.07 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) -1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1 - 3) + (24 - -10). Calculate the common denominator of ((-92)\/c - -2)*12 and (-30)\/(-39) + 0 + -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*x + 8, -x + 2 = -3*b + 8. Suppose 4*s + t = 174, -6 = 2*t - b. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249696275 to the power of 1\/2, to the nearest integer?\nAnswer: 15802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1258074)\/(-77180) + -2 - 2. Let y = d - 2\/3859. Let f = 84 + -151\/2. What is the common denominator of y and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12922, 51649, 116146, 206371, 322282, 463837, 630994, 823711?\n\"Answer: -7*d**3 + 12927*d**2 - 5*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3bd6b (base 14) in base 11?\nAnswer: a1284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2633 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 41*v - 17507 = -36*v, 0 = 2*i - 3*v - 8755. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*f - 4)*(-7*f - 14*f + 64*f)*(0*f**2 + 4*f**2 - 3*f**2).\nAnswer: -86*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -991 times -11377\nAnswer: 11274607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593989, -1187927, -1781813, -2375647?\nAnswer: -2969429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2035066 by 185006.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 0.7, 2.55?\nAnswer: 2.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 13 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 609*i + 1338*i + 307*i - 422*i + 410*i in the form z*i + b and give z.\nAnswer: 2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 384.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 439021 to the power of 1\/2, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6110 - -6714. What is the remainder when 1819 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 12:16 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-6 - 1 + 3)*(-3*s**3 + 4*s**2 - 4*s**2).\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - (-35)\/20. Suppose 4*f - 33 = -2*y - 3*y, 4*f = 2*y - g. Solve 0 = 5*d - f*m - 29, -10 = 4*m - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490 = 7065*j - 6985*j + 560 + 790 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 0.5 (c) -203\/10 (d) 3 (e) -5\/2 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2261179862 + 8562728619. Let s = -10823908416.00000043 + f. Let r = s + -65. Round r to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212841924 to the nearest integer?\nAnswer: 14589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 35*h - 50. Let a be m(7). Let i be (a\/4)\/((-13)\/52). Let f(g) = g + 2. Let n(l) = -l - 1. Determine i*f(p) + 2*n(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1158*n**2 + 615*n**2 + 17*n**3 - 21*n + 22*n**3 - 36*n**3.\nAnswer: 3*n**3 - 543*n**2 - 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 15) in base 2?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*l**2 + 20*l**2 - 2 - 17*l**3 + 10*l**3 wrt l?\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-2)*1068\/84 and -3\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253843 is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + (sqrt(1300) + 1 + sqrt(1300) - sqrt(1300)))*4 + 1)**2.\nAnswer: 800*sqrt(13) + 83225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149 - -2237\/15. Let x be ((-4)\/28)\/((-2)\/7)*-50. Let m be ((-2)\/x)\/(8\/20). What is the closest to -3 in 2, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 179*k - 789. Calculate the remainder when 245 is divided by g(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 54 + 14. Suppose -3*n + 5*n - 10 = 0. Solve -2*g = o*u + 21 + n, -4*g = -4*u - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 14) to base 5\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (-84)\/(-15) - (-471)\/15. Find the third derivative of -42*u**3 - 44*u**3 + 2*u**4 - q*u**2 + 0*u**2 + 0*u**4 wrt u.\nAnswer: 48*u - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371877?\nAnswer: 3, 11, 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9642690?\nAnswer: 2, 3, 5, 19, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 9*l + 7. Calculate b(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/2)\/((-18)\/(-6)). Let p be 15\/10*48\/2. Let y be p\/15 + -2 + h. What is the third biggest value in 6, 2\/17, y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6) - (-280)\/30*6181404\/48 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2508 divided by -5037?\nAnswer: 836\/1679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-45*w**5 + 8*w**5 - 13*w**5).\nAnswer: -50*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -74*p + 8. Let n(v) = -41*v + 4. Give -5*n(s) + 2*t(s).\nAnswer: 57*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 253163928 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8236 divided by -1\nAnswer: -8236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1573) + -4 + (1*-1*sqrt(1573) - sqrt(1573)))*-2)**2 + 1.\nAnswer: 352*sqrt(13) + 6357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -78\/478835 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 1022?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14343592 rounded to four dps?\nAnswer: 1.1434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(2856\/(-16))\/21?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 6. Factor 2*s + 0*s + o + 2*s + 0*s + 3*s**2.\nAnswer: (s + 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -111 - l + 205 - 94. Let g(k) = -324*k. Calculate z(g(y)).\nAnswer: 324*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-117))\/((-2)\/(-12)). Suppose -3*a = 9*a - 36. Suppose 0 = -4*v - 2*i + 4*i, -4*v + a*i = 0. Is v smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:04 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 77*w**2 - 38*w + 81. Is y(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 3. Suppose 4*x - 2*x - w*r - 15 = 0, -27 = -2*x + r. Suppose b + 4 = x. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysqs when four letters picked without replacement from {q: 2, s: 3, y: 1, o: 4, g: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 2*n)*(283 - 130 - 1151)*(-1 + 4 - 8).\nAnswer: -4990*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025475027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 9:23 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9799 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(8\/154))\/((-5)\/(-10)). Let j(i) = -i**3 + 4*i**2 - i - 4. Let b be j(3). Suppose -b*g + 5*c = -32, 4*g - r = -4*c - 13. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 176 in -2\/7, -3, -4, -11.6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221212212000 (base 3) to base 10.\nAnswer: 509463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 636 + -469. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9537, 38195, 85963, 152841, 238829, 343927, 468135?\nAnswer: 611453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3 + 7*g**2 + 13413*g - 613821.\nAnswer: 6*g**2 + 14*g + 13413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/(-1386))\/((-2)\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/60 + 145\/58. Suppose -8\/5*x**4 + u*x**3 + 0 - 8\/5*x**2 + 2\/5*x**5 + 2\/5*x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*t + p, 5*t - 4*p = 20 + 10. Suppose -t*r - 1 = 3. Let h be (r\/(-6))\/(4\/(-24)). Let f(b) = b**3 + 3*b**2 - 1. Give f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 - 2*g**2 - 4*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 33\/7 (b) 0.4 (c) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23883517?\nAnswer: 7, 79, 43189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*t**2 + 3074*t**3 + 39*t**2 - 1537*t**3 - 74*t**2 - 1536*t**3.\nAnswer: t**3 - 210*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428061 is divided by 119?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -17*p + 16. Let d be 1\/((6\/90*-3)\/1). Sort d, p, 1 in descending order.\nAnswer: p, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = 0, 9*y + 17 = 4*z + 4*y. Let p = 493.29 - 494. Let o = -2.29 + p. Which is the nearest to z? (a) 2\/13 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 0*o + 0*o - 2. Let i = -16 + 16. Give d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + 10 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17736?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(2187) + 1)**2 - sqrt(2187))*4 - (((-1 + sqrt(2187))**2*-3 - sqrt(2187)) + sqrt(2187))) + -2 + (-4 + 2 + sqrt(2187))**2 + 0).\nAnswer: -810*sqrt(3) + 87525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/6)\/(832\/1560)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, -38, -15, 28, 97?\n\"Answer: m**3 + m**2 - m - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3761 (base 15) to base 7\nAnswer: -46243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150782 divided by -3.\nAnswer: -150782\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 2*z - 2*z + 0*z + 0*z + z + (3 - 3 - z)*(0 - 4 + 2) + 745 - 55*z - 583 + 57*z.\nAnswer: 4*z + 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 1, 28*t - 87*t + 29*t = -25*t - l + 4*l - 52 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 2527829602.\nAnswer: 2527829602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27916 and 17332?\nAnswer: 17280004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.84651, -1276, -4?\nAnswer: -1276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 68 = -c, 3*i + 570*c = 571*c - 14 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 134345085*b**2 + 64402368.\nAnswer: 268690170*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2 + 6. Let o = w + 0. Let n(d) = -2*d**2 - 3*d - 1. Determine n(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918576679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/5 - 4433*z\/5 - 142454588\/5 = 0. What is z?\nAnswer: -9923, 14356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 953147 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 1768?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 13*m**2 - 11*m - 38. Let g be q(14). Solve 8 = -0*y + 2*y + g*r, -20 = -5*y - r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4725767?\nAnswer: 211, 22397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10833 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:06 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from onudou?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/544 and 127\/18?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-117 - -118 - -10) + (-1 - 46)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 0.2. Let a = 0 + 3. What is the nearest to -0.1 in j, a, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 74320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99? (a) -0.5 (b) 0.4 (c) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 - 1 = 0. Let g = 1 - z. Sort g, -2, 5 in increasing order.\nAnswer: -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 134 + 3441277?\nAnswer: 3441433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -597510.2?\nAnswer: 17925.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -961, -5713, -17559, -40045, -76717, -131121, -206803?\n\"Answer: -591*t**3 - t**2 - 612*t + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256 and 64?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 + 121. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2951*a - 5*a**4 - 12 + 2953*a - 3*a**2 + 2*a**2 + 0*a**3 + 0*a**2 - a**3 to i*a + d*a**3 + g*a**2 + r*a**4 + t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 8*s**2 - 9*s - 15. Let n be 22 + -16 + (-6 - 8). What is k(n)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxnmxmnmn. What is prob of picking 1 x and 3 m?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4000966 and -2.\nAnswer: -8001932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 0.2, -3, 2\/9, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**5*o + 109*d**4*o**2 - 10*d**2*o**2 + 12*d**2*o + 2 wrt d?\nAnswer: -300*d**2*o + 2616*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**2 + 9*n + 6. Let x be o(4). Calculate the highest common factor of 765 and x.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/27))**(4\/7)\/((x**(6\/7)\/x)\/x**(-1\/7)) assuming x is positive.\nAnswer: x**(-8\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 4:24 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29.6, 0.06, -2, 5 in decreasing order.\nAnswer: 5, 1, 0.06, -2, -29.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 + 5*r + 2. Let t be g(5). Find the second derivative of 2*m + t*m**2 + 4*m**2 - 10*m**2 wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - -31. Suppose q - 2*g = -7*g + 10, 3*g - 8 = -q. Suppose 0 = -q*o - 5*p + 90 + 15, 4*p + x = 5*o. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*s - 2 = 0, 5 = -2*s - 5. Solve -r*n - 8 - 4 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6534*u - 9010 = 6960*u + 1640 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - (-8)\/24*435. Sort z, -5, -3.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oono when four letters picked without replacement from owonononnwownooowoon.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281005?\nAnswer: 5, 43, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 - 45\/(-12). Suppose 6*z - 2*z = 4. Suppose -c = -w - z. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73\/52 + 20*5\/(-80)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121454092 a multiple of 1583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 212002200220 (base 3) to base 16\nAnswer: 6f015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + d**5 + 0*d**5 + (-d**4 + 1 - 1)*(-2*d - 2*d + 2*d) + 0*d**4 + 0*d**4 + 2*d**5.\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 84806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:47 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let l = 1100 + -1098. Solve -2*m - 4 + 16 = -l*y, 17 = -t*y + 3*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 127, 71, -37, -215, -481, -853?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5555781.8 to the nearest one thousand.\nAnswer: -5556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 7*n**6\/6 + 3*n**5 + 5*n**4\/4 - 5*n**3\/3 + 5*n. Suppose m(d) = 0. What is d?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 1 + 1)*(-l + 6 - 6) + 18335*l**4 - 2 + 24*l**3 - 18337*l**4 + 3.\nAnswer: -3*l**4 + 24*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 162 = 42*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u - 40 = 0. Let i = u - -10. Suppose 5134 = 3*x + j, 0 = -5*x - i*x + 3*j + 8538. What is x rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4572*w + 210321. Determine g(46).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -6 (c) -5 (d) -0.04 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112*n**4 + n**3 + 921*n wrt n.\nAnswer: -1344*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000526 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and 277355 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -10. Let o be (-1)\/2*(1 - -1). Which is the third biggest value? (a) -0.3 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 4, f: 5, c: 1, j: 3, e: 1}. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 104016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 51870\/23, 0, 1\/4, -2?\nAnswer: 51870\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*1 + (sqrt(832) + -3)**2)*4*6.\nAnswer: -960*sqrt(13) + 20184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + (41 - 1352\/52)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 - 131. Solve -5*u - 15 = -5*i - u, 4*i - m*u = 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h**3*s**3 + 3*h**3*s + 3*h*s**5 - s**2 wrt s.\nAnswer: -60*h**3 + 180*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8508.7322 rounded to the nearest one hundred?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9231 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4 + 282*b**3 - 286*b**2 - 282*b + 284 = 0. What is b?\nAnswer: -142, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52086 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4\/12 + l**3\/3 + l**2 + 36*l + 49. Let t(i) be the first derivative of p(i). Calculate t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let c = 0.51 + 8.79. Let h = c + -8.9. What is the nearest to n in 5, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -12*v - 50. Give b(-10).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (-19)\/((-285)\/(-70)). Let r(o) be the first derivative of -h*o**3 + 3*o + 0*o**2 - 13. Find the first derivative of r(q) wrt q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 35, 39, 45, 53, 63, 75?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/401 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000436087869 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 19230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 5*s**3 + 4*s**3 + 5*s**2 + 2*s + 5. Let j be (-18)\/(-5) + (-12)\/(-30). What is the lowest common multiple of 10 and z(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 + 2*x**2 - 2*x + 1. Let q be m(1). Suppose -16 - 8 = -q*s. Let k = 8 - s. Solve -g + k*g = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*d = -10935641 + 5986937 - 8266047. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30086 - 1023023\/34. Find the common denominator of 125\/6 and v.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 85.95. Which is the third smallest value? (a) w (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22609 or 4.3?\nAnswer: -22609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -8. Let u be (-47)\/(-7) + l\/35. Let o = u + -4. Calculate the least common multiple of o and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 5*v + 10, 0 = -387*b + 391*b + 2*v - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/177455 and 127\/33960.\nAnswer: 1205274360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 85*u - 569432 = 0. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*p + 44*p + 69*p)*((2 + p - 2)*(30 - 19 + 6) - p + 4*p - p).\nAnswer: 551*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -489*d - 77*d + 133*d + (3 + 4 - 6)*(-2*d - 2*d + 2*d).\nAnswer: -435*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24\/5 (b) -2\/7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 2*c**2 - c + 2. Let m be a(2). Suppose m = 3*p, p - 3*p - 2 = 2*q. Let u = -0.33 + 0.03. What is the third biggest value in 2, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 15, 41?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-6)\/3 + 1. What is the first derivative of 4 - 4 - 2*h**q - h**4 - 1 wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 858\/55 - 11 - (-2)\/5. Let g(m) = 4*m**2 - 3*m + 2. Let j(z) = 4*z**2 - 4*z + 2. Calculate q*g(k) - 4*j(k).\nAnswer: 4*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 39. Let g(t) = -3*t**3 + 6*t - 3 + 0*t**3 - 4*t**2 - 3*t**3 + s*t**3. What are the prime factors of g(4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(1\/60))**(1\/21)*(k**(2\/3))**(-23)\/((k\/((k\/(k*k**1))\/k))\/(k*k**(1\/6))) assuming k is positive.\nAnswer: k**(-21631\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*n + 24, -2*b + 1 + 4 = -3*n. Suppose -424 + 1268 = b*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -281*z**3 + 1. Let c be m(1). What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Suppose -12 = -s*f - 3*f. Suppose 0 = y + 2*a + f, 2*y + 0*y = 3*a + 13. Sort -4, 0, y in increasing order.\nAnswer: -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75059 + -1651269\/22. What is the common denominator of v and ((-1)\/(-108))\/((-2)\/(-436))?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -11, -48 in ascending order.\nAnswer: -48, -11, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1694058 litres to millilitres.\nAnswer: 169.4058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 404, 406, 408, 410, 412?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -417, -406, -393, -378, -361?\n\"Answer: g**2 + 8*g - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 - 3 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1749 - -1760. What is the remainder when 10643 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 7, k: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*f - 19, 0 = -5*f - x - 9 + 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2240 - 2445?\nAnswer: -4705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -865344.87 to the nearest 1000.\nAnswer: -865000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(-4 + -4 + (sqrt(405) - -1*-2*sqrt(405))**2)*-4.\nAnswer: -12704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55928 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 + 72 = -20*f. Solve -9 = f*q - 4*h, 2*h = 3*q + h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 37 = 3*n, -2*z + 22 = 4*n - 6*n. Which is the closest to 1? (a) 0.5 (b) -5 (c) n (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11631*a + 53883 - 259230 = 73797 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w*w)\/w**(-1\/4))\/(w*w**(3\/2)*w**(6\/7)) assuming w is positive.\nAnswer: w**(-115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 19*u**4\/12 - u**3\/3 - 6*u**2 + u - 166. Let g(o) be the first derivative of y(o). Differentiate g(m) wrt m.\nAnswer: 38*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1)\/((-2436)\/1421)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-5)*2)\/(-1 + 2). Let k be ((-1)\/j - -1)\/12. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -351 + 135*x**2 + 52 + 30*x**2 + x + 34*x**2 + 59*x**2 wrt x?\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrorkkkrrrkrr. Give prob of picking 1 o, 2 r, and 1 k.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -63, -64, -65, -66, -67?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*y = -191*y - 250 - 634 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 753 - 26?\nAnswer: 72c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3254792 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 16. Solve j = -0 + a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:52 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*5*60\/(-15)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v. Let s be h(4). Suppose 0 = 4*w - 54 - 74. Calculate the greatest common factor of s and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -712, -1\/52, -2\/5, 3, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + 0.34. Let f = 14.3 + -14. Which is the smallest value? (a) q (b) -1 (c) -4\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + -1)*2002\/(-66). Let y = r - 277. Let m(h) = 6*h + 1. Let b be m(-2). Sort 5, -1, y, b in ascending order.\nAnswer: b, y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) + -4 + -4).\nAnswer: -16 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981732 a multiple of 1282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*(g\/(g\/(g**3\/g)))\/g)\/g*g)\/g**4*(g\/(g**7*g*g))\/(g**(1\/6)*g) assuming g is positive.\nAnswer: g**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 1:27 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -0.3, 0.15, 7\/3, 4?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose 5*m + q = 12, 15 = -m + 4*m - 2*q. Suppose m*v + 5 = 4*v. Solve i = -0*i + f*h, -v*i = -5*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23c43 - -5?\nAnswer: -23c3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -5, 14\/10879, -2\/19?\nAnswer: 14\/10879","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0 (c) 10 (d) 8 (e) -0.2 (f) 0.5 (g) -2698\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1948 = -4*q + 8148, 3*q - f = 7574. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579753.\nAnswer: 3, 37, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * 1.463.\nAnswer: 0.21945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u\/(u**(-1\/4)\/u))\/u))**(-20)\/(u\/(u*(u*u**(-6))\/u)*u**(-2\/11)*u) assuming u is positive.\nAnswer: u**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-22))\/(45\/(-45)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/6 - -3)*0. Let t be 17919607 + x + -1 + -3. Suppose 0 = 5*c + t + 64080397. What is c rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -75 + 71 - (0 + -11). Let a(m) be the third derivative of 10*m**2 - 1\/36*m**4 + 0*m + 1\/180*m**6 + 1\/630*m**u - 1\/180*m**5 + 0 + 0*m**3. Factor a(t).\nAnswer: t*(t - 1)*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 6, c: 1, j: 4, s: 1, w: 3}. What is prob of sequence jj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {a: 1, t: 5, b: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 9:40 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -81, -105, -109, -87, -33, 59, 195?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394512 divided by 3?\nAnswer: 131504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871, 1004, 1225, 1534, 1931, 2416, 2989?\nAnswer: 3650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/((sqrt(16) - sqrt(576))\/sqrt(8)).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170930 + -170928. Suppose 1\/5*k**4 - 559\/5*k + 249\/5*k**m - 29\/5*k**3 + 338\/5 = 0. Calculate k.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 10:19 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -468\/19 and -25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3591 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - z - 1. Let i(u) = 9*u**3 + 7*u**2 - 6*u - 7. Let y(q) = i(q) - 6*t(q). Let f be y(1). Let n be ((-1)\/3)\/((-3)\/f). Solve -b = 4 + n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 - 18*j. Let n be s(3). Let v = 5 + n. Solve -3*i = v*l, -2*i = 4*l - 0 + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5 - -11) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1105*v - 1348 - 862 = 0. Suppose 2*h = -4*f + f - 154, -f = 3*h + 56. Let i = f - -246\/5. Put i, 0.4, v in decreasing order.\nAnswer: v, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/277 or 5501299?\nAnswer: 5501299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -14. Sort -3, -5, 5, u.\nAnswer: -5, u, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 169?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 15 = -5*a, v - 3 = a - 4*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 41 = -26. Solve k = 2*f - f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 226*b - 5. Let d be l(5). Let i = d - 4463\/4. Let x = i - 9. Which is smaller: 0.5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + y + 2. Let s be (-5)\/2*(3 - 1). Let j = s - -15. Calculate the lowest common multiple of j and v(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*c - 492, 0 = c + 3*f - 56 + 166. Let g = c - -166. Solve -g*z + 5 = -43*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*k - 5. Suppose k*c = 4*c - v - 1, 0 = -5*c + 4*v - 5. Suppose c*z = 8*z - 620. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27708 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 21*b**2 - 32*b + 4. Let t be m(-32). What is t rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {g: 5, s: 6, k: 5, t: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/575 and 30\/7.\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 8) to base 16\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/120 + b**5\/30 - b**4\/24 - b**3\/3 + 10*b**2. What is h in o(h) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -56. Let s(z) = -z**2 - z + 2. Let c be s(x). Sort -5, c, 4, -1 in increasing order.\nAnswer: -5, -1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (9 + -4 + (-8 - -9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -398 - 1?\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + u + 1321, 0 = 5*h - 2*h + 2*u + 787. Let q = -25499\/12 - -2132. What is the common denominator of q and ((-14)\/35)\/(6\/h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 3\/3*3. Let m be -4 - -7 - (-6)\/l. Let t be (3\/m)\/(1*-2). Which is the biggest value? (a) 2 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3694.1237 to the nearest integer.\nAnswer: -3694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -337, 1, 5, -0.08, 0.2, -0.101 in decreasing order.\nAnswer: 5, 1, 0.2, -0.08, -0.101, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 + 94. Let v be (144\/42)\/((-2)\/g). Solve 0 = 8*s + 12 + v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1280252 - -0.128. Round n to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-4)*(-23)\/((-1426)\/496)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -1 - (-3 + -1 + 5). Suppose -w*a = -18*a. Solve a*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1350 divided by 434.\nAnswer: -675\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37610\/43 - -188394\/215. Factor 0*v**2 + 2\/5*v**3 + 0 - a*v.\nAnswer: 2*v*(v - 2)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2444031830 to the nearest one million.\nAnswer: -2444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-310)\/20*-4)\/(84\/(-84)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10017, 20043, 30083, 40143, 50229, 60347?\n\"Answer: p**3 + p**2 + 10016*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7*c + 4*c = 24, 27 = -9*c. Solve -24*z - h*w - 15 = -20*z, w = 4*z + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-9) + (-300)\/(-108). Solve f*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3, -5, 110.\nAnswer: -5, -3, 0, 3, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.8 + 0.8. Let p = d + -7. Which is the third smallest value? (a) p (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*h**3 - h)*(3*h + 1 - h - 2).\nAnswer: 4*h**4 - 2*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 22*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -456 - -783. Let z = 3600\/11 - y. Suppose 0*i - 3 = -3*i. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 8*g**4 - 19588*g**3 + 666912*g**2 - 1564528*g + 617984 = 0?\nAnswer: 1\/2, 2, 32, 2414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -2075914?\nAnswer: -2075914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 6 + (-51 - -175) - 22?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21437 divided by 1649.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**7\/2520 - i**6\/240 + i**5\/40 - 31*i**4\/24 + 37*i**2. Let w(l) be the second derivative of g(l). Determine w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1557 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/68)\/(9\/612)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/56 and 25\/1376.\nAnswer: 9632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.049 - -0.048791. Round n to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b**2 + 2*b - 1. Let n be a(1). Suppose 11 = 4*r - n. Suppose -4*y + r*y = 12. Solve -2*p - 5*f = 20, -2*p + 0*f + y*f - 2 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22576762?\nAnswer: 2, 13, 868337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 340*b**2 + 1028*b + 24 = 0.\nAnswer: -3, -2\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Suppose 87 = 6*a + 87. What is i(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26382 divided by 3\nAnswer: 8794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1826?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 9*m - 2. Let k(g) = -27*g + 389. Calculate the remainder when n(7) is divided by k(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 0 - 1\/3*t**4 + 3*t**2 + t + 0*t**3. Differentiate z(r) with respect to r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*m = 32, -8*m + 7*m = -4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (11 + -25)) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 73*n**2 - 13*n - 452. What are the prime factors of s(-73)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 108*o**2 - 32*o - 2510 + 251*o + 2400 - 4*o**3.\nAnswer: -(o - 1)**2*(o + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(((-4)\/(-2))\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(2157\/(-166089) - 5391\/(-77))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -187321, -187143, -186847, -186433, -185901?\n\"Answer: 59*k**2 + k - 187381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 3. Let z = 14 - -4. Suppose -2 = 5*a + z, 0 = -t - 4*a - 13. Let o be j(t). Solve 2*k + 14 = -w - 0*k, -5*w + 5*k + 5 = o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*d**3 + 20*d**2*w - w + 162 wrt d.\nAnswer: -63*d**2 + 40*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -2, -3?\n\"Answer: -h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 2*a + 1. Let z be d(-1). Let c = 9 - z. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 96 + 559*h**4 - 275*h**4 - 282*h**4 to the form x + s*h + j*h**4 + l*h**2 + c*h**3 and give x.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 7*y**3\/4 - 18471*y**2 - 306187*y\/4 - 63354 = 0.\nAnswer: -3, -8\/7, 10559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1320972 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157559, 157571, 157583?\nAnswer: 157595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - c = 16 - 6, 18 = 3*w - 3*c. Let x(g) = -5*g - 3. Let t(j) = -14*j - 9. Calculate w*t(a) - 11*x(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 8*r - 7. Let f be l(-9). Suppose 62 + 28 = f*g. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011111011011 + 0?\nAnswer: 1111011111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 1 = 3*u - q, -u + 5*q - 9 = 0. Let o(p) = -p - 8. Suppose 12*h + 35 + 85 = 0. Let i be o(h). Sort u, i, 5 in increasing order.\nAnswer: u, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfllukflkfukkkklkukf. Give prob of sequence fl.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1314172918 to the nearest integer?\nAnswer: 36252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000095444 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*u + 19*u + 4*z - 2, 3*u + z = 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-9.3.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u + 4. Let c(b) = -47*b - 11. Suppose -15*i = -28*i - 143. Determine i*q(s) - 4*c(s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/18 and -11\/3416?\nAnswer: 30744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g. Suppose -6 = -3*r - g. Solve 0 = -7*n + r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 228*2.8\nAnswer: 638.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -54, -121, -224, -369, -562, -809?\n\"Answer: -j**3 - 9*j**2 - 3*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 134*h**2 + 12*h. Let p be (-21)\/(-9)*(4 + -1). Suppose -p = 2*a + 3. Let x be c(a). Round x to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 3312020355?\nAnswer: -3312020353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.82 - 2.18. Let v = -85 - -427\/5. What is the biggest value in -0.2, v, 0.1, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-3 + -206*4). Suppose -3*f + 5*f - d = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 951, 1572, 1873, 1860, 1539, 916?\n\"Answer: n**3 - 166*n**2 + 1112*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*h**3*i**2 - h**3 + 2*h*i**2 + 353*i**2 wrt h?\nAnswer: 48*h**2*i**2 - 3*h**2 + 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (6 - (-4)\/(-4)). Let y(w) = -3*w + 4. Let u(g) = -4*g + 5. Let c(b) = n*u(b) - 5*y(b). Let d(o) = -3*o**2. What is d(c(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t + 20943 = 19977 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*m - 11 = 2*x, -2 = -2*m for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -97*h + 63*h + 44*h. Let f(o) = 30*o**2. Let q(x) = x**2. Let d(w) = 2*f(w) - 66*q(w). Give j(d(u)).\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 121?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let p(y) = u - 4 + y + 2. Let t be p(4). Let c(o) = o**2 - 3*o + 2. Determine c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 17. Suppose 8*m - l*m - 18438 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46 + (-3)\/(2 + -5). Let t(o) = -26*o + 11. Let k be t(11). Let l = k - -416. What is the highest common factor of y and l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/8400 and -31\/35040.\nAnswer: 1226400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-7)*(-11)\/275*245\/(-455)?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -163 + 168 - (-11 - (-4 - (-2 + 1)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40541.5 take away 12738351?\nAnswer: -12778892.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5939, 5745, 5529, 5279, 4983, 4629?\nAnswer: 4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 22. Let r(j) = -s + j + 2*j - 1 + 1. Let o(z) = -z + 2*z + 4*z - 3*z. Determine o(r(q)).\nAnswer: 6*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5266 = 2*p - 10192, -3*i = p - 9275. List the prime factors of i.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -17*m + 2. Calculate the remainder when 56 is divided by b(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = 15*o - 207 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (3*sqrt(76)*3 - sqrt(76)))\/sqrt(4).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 - -233. Suppose -y + 7 = -2*v. Calculate the highest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 314, 454, 574, 668, 730?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 33 + 2*o**3 + 40*o - 7*o**3 + 29*o**3.\nAnswer: 24*o**3 + 40*o + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from eenvenvvvnvjvln?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {o: 1, h: 1, z: 2, m: 1, t: 2, j: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-23)\/(-92) + 1259\/4. Suppose 41*k + i = 45*k. What is the nearest to k in -5, -0.5, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4*i + 4. What is o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6256229.\nAnswer: 7, 179, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from whh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -0.5. Let v = 0.5 - w. Let i = -0.3 + v. Put i, 1, -3 in increasing order.\nAnswer: -3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -0.2. Let j = -3.6 + l. Let v = -2.96 - j. Is v smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 20 + 19*b + 18 + 4*b**3 + 15*b in the form u*b**2 + w*b + s*b**3 + r and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -133. Suppose 18595 = -6*g + s*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/7 + 32\/35. Let j = -8 + 0. Let d = j + 7. Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 51, -220, 0.2, -0.2, -1, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5243232.\nAnswer: 2, 3, 54617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.1 - -19.100002162. What is n rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**4 - 12148*q**3 + 146*q**2 + 86864353*q wrt q?\nAnswer: -36*q**2 - 72888*q + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 12:21 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwt when three letters picked without replacement from {x: 5, t: 3, w: 4, l: 1, n: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 4321 + 3*k + k - 2161 - 2168.\nAnswer: 5*k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 72*y + 77*y + 6 = 0, 0 = -5*y + 10 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 0*c + 3*c)*(-c**2 + 5*c**2 - 3*c**2) - 656*c**3 - 170394 + 170394 to the form l*c + o + g*c**2 + a*c**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1771, -1, 3229 in descending order.\nAnswer: 3229, 1771, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2. Let y(t) be the third derivative of -33\/20*t**5 + 0*t**4 + 31*t**2 + 0 + 0*t + 0*t**3. Give y(b(g)).\nAnswer: -99*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 17195.\nAnswer: 34390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 34 = -4*q, 3*q - 5*w + 28 = -0*w. Let d(h) = -h**3 - 6*h**2 + 2*h + 9. Let j be d(q). Let x(s) = 2*s + 3. Give x(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*2\/(12 - (4 - -10)) + (-87 - 4)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjj when three letters picked without replacement from jjjjxjjjjxjjjxjj.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 234?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 - -4*(-36)\/(-12). Solve 6*z - 1 = 5*f + 5*z, -21 = q*f + 4*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/90*(-16)\/12. Let r = -8 + 5. Which is the nearest to -2\/5? (a) r (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - (-3 + 4 - -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 4097560.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27454 - 27450. Put 0, -3, i, -5, 156 in ascending order.\nAnswer: -5, -3, 0, i, 156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y - y**3 - 10*y - 20*y**2 + 20*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -50. Let f be (1 + -3)\/((-8)\/b). Suppose -f*q - 447 = -2*c, 0 = -2*c + 4*c + 3*q - 407. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1 + (0 - 0)). Suppose 0 = 2*d - 10, -4*l + d + 3 = y. Suppose 0*h = -2*h + 4. Solve 0 = -h*r + t + 4, r - l = -5*t - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:18 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 36 = 5*p. Let a be (5\/2 - p)\/(1\/4). Let d = -4 - a. Sort d, 0, -5 in decreasing order.\nAnswer: d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-21) - (-48)\/(-28). Sort 3, w, 0, -5, 4.\nAnswer: -5, w, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/10 - c**4\/12 - c**3\/3 + 34*c. Suppose -y + 5*r + 17 = -0*r, 4 = -4*y - 4*r. What is u(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206*-3.\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2513, -5028, -7541, -10052, -12561?\nAnswer: -15068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-15)\/(-9))*3. Let u be ((-14 - t)\/(-3))\/2. Let n be (5\/u - 1)*2. Are 4 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13.1. Let j(t) = -t**2 - 7*t - 4. Let n be j(-6). Let c = 4 - n. What is the nearest to u in -1, 1\/3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 59 = -23. Let z be ((-8)\/m)\/(2\/12). Suppose 4*x - w = -7, z*x - 7 = 5*w - 26. Sort 4, x, -2.\nAnswer: -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.7. Let g = -92.929 + 93. Let s = -4.929 - g. Sort o, -0.2, s in decreasing order.\nAnswer: -0.2, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1265*x**4 - 7 - 1566*x**2 + 14 - 7 + 88*x**4 wrt x?\nAnswer: -28248*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 44*s**6\/15 - 99*s**4\/8 - 222*s**2. Find the second derivative of z(f) wrt f.\nAnswer: 2112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 64*i - 33. Let j be p(6). Let g = 366 - j. Calculate the smallest common multiple of 57 and g.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/90)\/((112\/40)\/7).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*y + 45*y = -4 + 4. Which is smaller: y or 5\/269?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 2, 3, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531338481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 6*y**2 - 2*y - 9. Let a be l(-6). Let v = -6 - -2. Suppose -2*w = 25 - 27. Put w, v, a in increasing order.\nAnswer: v, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*k + 210 - 425 - 297 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 11. Let z(j) = 5*j + j**3 - 7*j**3 + 5*j**3 - 3 - 8*j**2. Is 15 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 13*c. What is p(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 4. Let h be k(2). Suppose 2*s - 112 = 4*p, -4*p = 4*s + 37 + 75. Let o be ((-3)\/7)\/(8\/p). Which is bigger: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/9950 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1401 + -1400.9. What is the second smallest value in -0.15, 0.12, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 8:02 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 3*d - 54. Let g = d - 21. What is the units digit of (-19)\/(-3) + g\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8))**(-44)*q**(-15)*(q*q\/(q\/q**(12\/5)))\/q)**39 assuming q is positive.\nAnswer: q**(66183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -307 and -298 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-20)*(212\/(-6) - -8).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/42*(-2)\/(-8) + 1204\/903?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 1070, -2, -4.\nAnswer: -4, -2, -1, 1, 1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*n, -5*i + 0*n - 17 = -3*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24722106?\nAnswer: 2, 3, 757, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248453328 a multiple of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-80))\/(2*(-1)\/(-6)*(-343845)\/10188).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60400 - 38728. What are the prime factors of b?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49316, -49316, -49318, -49322, -49328?\nAnswer: -49336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*m**6 + m**5 - 34*m**3 - 47*m**2 - m - 4 wrt m.\nAnswer: 2880*m**3 + 60*m**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20766 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 44.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76513554\/468*((-6)\/21 + 48\/21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 136 = -4*z - 832, -4*g + 0*z = -0*g - 5*z + 140 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4512, 3, -2, -5, 5 in descending order.\nAnswer: 5, 3, -2, -4, -5, -4512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 56. Let c = w + -21. What is the greatest common divisor of c and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384\/28*518\/(-296)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s + 14283 = -2405. Let n = s + 6553\/11. Suppose -3*h - 3*v = 9, -7*h + 4*h + 2*v = -6. Is n greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36317\/12 - -3024. Find the common denominator of -93\/2 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0 = -5. Suppose -3 = c - l. Suppose 3*z + 3*q - 23 = 76, -3*z = -c*q - 119. List the prime factors of z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-87 - 16974\/(-230)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21505 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, 3 in decreasing order.\nAnswer: 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 4:40 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**2 - 78*o - 4*o**2 + 30 - 52 + 27.\nAnswer: -12*o**2 - 78*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 4*y + 6 = -6*y, 0 = s + 5*y - 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*k - 35286 = 308*k + 145*k + 58410 for k.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003194 rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*c - 43 = 0, -4*y + 3*c - 5*c = -48. Let u = 16 - y. Suppose 0 = u*i - 19 - 5. What is the remainder when 20 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -88*q - 555 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y**3 - 4*y - 4. Let v be k(-2). What is the greatest common factor of 27 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2\/8)\/((-69)\/6 - -1).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m + a - 1 = 0, 17 = 5*m + a. Let h be 68\/16 + 7\/(-28). Solve -h*i - 8 + m = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(120)\/(sqrt(6) + (sqrt(6) + sqrt(24) - sqrt(6))*-5))\/(sqrt(50)\/sqrt(5)*-1*-3).\nAnswer: -sqrt(2)\/27 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 3. Let g be j(-6). Let w = g + 2. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251977027 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79431, -318360, -716575, -1274076?\n\"Answer: -79643*q**2 + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 1. Let l(q) = q**2 + 2*q - 2. Let k(m) = 2*d(m) - l(m). Give k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 7*f + 117 = 0. Let k(s) = -3*s**3 + 3*s**2 + s - 17. Let t be k(f). Suppose 11*q + 28 = t. 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 y = -0.26 + 0.16. Let x be (1\/(-2))\/(1\/(-2)). Let u = 11\/3 + -10\/3. Which is the third biggest value? (a) u (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 59\/5 of a kilogram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -582 + 1129. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/48*(-2)\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8321 less than or equal to -749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1216324 and 1216324.\nAnswer: 1216324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = 0, 2*i - 6*i - 103 = 3*h. Let w = 1587\/2 - 766. Let s = w + i. What is the smallest value in -4, 1, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03319628938 rounded to 4 decimal places?\nAnswer: 0.0332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*w - 2*w. Suppose -2*b = -17 - w. Let s = b - 9. Sort s, -2, -3 in decreasing order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 3*t - 1. Calculate w(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 2*r + 6*r)*(5 - 2 - 1) + (31*r - 14*r + 19*r)*(3 + 0 + 1).\nAnswer: 146*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2244 + 5?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -383, 4386?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f = -28*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {o: 1, a: 1, c: 4, b: 2, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*j**2*p*r + 40*j**2*r + j**2 - j*p*r + 8*j*p - 8*j + 42*p - 3 wrt r?\nAnswer: -21*j**2*p + 40*j**2 - j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**7\/28 + h**6\/5 - 3*h**5\/40 - 2*h**4 - 3*h**3 - 1491*h. Solve u(i) = 0.\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.25, -80, 1, 0.1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3215, -13, -3 in ascending order.\nAnswer: -13, -3, 3215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 17. Let f be t(7). Let w(l) = 11*l - 314. Let i be w(-45). Let s = i - -809. Solve s*d - f = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - 14. Let a be -6 + -4 + 0 + 0. Let k be a\/2*42\/(-35). What are the prime factors of m(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/5 - 21643328*j\/5 + 58554205864448\/5 = 0.\nAnswer: 5410832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -0.063 (c) -5 (d) 2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 + 33*o**3 - 40*o**3 - 21 wrt o.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 506194.9520097 + -506195. Let p = -1.2 + 1.248. Let s = m + p. What is s rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a7 (base 13) to base 10.\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 26 = -4*b + 12*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6573 divided by -3?\nAnswer: -2191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10859982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 0, -3*a - 5*l = -8*a + 95. Let h = a + 13. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m - 9 = 0. Is m - (-3 - 135 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -21, -138, 2 in increasing order.\nAnswer: -138, -21, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 597695 or 597699?\nAnswer: 597699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/8)\/(1\/(-6)). Let z = -31\/6 + a. Put 0.4, 0.1, z in decreasing order.\nAnswer: 0.4, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h**2*w**2 + 52*h**2 - 206*h + 22093*w**2 + 6*w wrt h.\nAnswer: 10*h*w**2 + 104*h - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 98.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41109.\nAnswer: 3, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 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: Let t = 33 - -5. Is t*(2 - (-1 + 2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -150*q**2 - 3*q - 2196. Let n(w) = 4*w**2 - 1. Let g(m) = 8*n(m) - t(m). Find the first derivative of g(s) wrt s.\nAnswer: 364*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237403141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7661*w**2 + 7663*w**2 + 19*w + 102*w in the form a + u*w + f*w**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 119*p - 132*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 10*(-3 + (-7)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 273 + 231. Let p(d) = 22*d**2 + 6*d - 27. What is the units digit of p(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617997, -1235961, -1853925, -2471889, -3089853?\nAnswer: -3707817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 209*w**3 - 3*w**2 + w + 2. Let f(m) = m**2 - 1. Let s(t) = 3*f(t) + g(t). Let p be s(1). Let l = 690 - p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.51 - -2.91. Let r = -29.6 - m. What is the third smallest value in 1.8, -0.2, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (22 - 11) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n. Suppose 23*k = 24*k - 5*z + 198, 2*z = 0. Let i(t) = -36*t**3 + 33*t. Calculate k*r(h) - 6*i(h).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 10 = -2*l, -10*l - 386*s + 381*s - 100 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -0.1, -4 in descending order.\nAnswer: 4, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**3*v**3*w - 5*r**3*v**2*w + 2*r**3 - 46*r**2 - 1640*r*v**3*w - r*v**2*w - r*w wrt v?\nAnswer: -12*r**3*w - 9840*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405505?\nAnswer: 5, 81101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(1 + sqrt(11))**2 + sqrt(132)\/sqrt(48).\nAnswer: -31 - 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1559*i = -1558*i - 530. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - j - 1. Let m = 7 + -6. Let d(v) = -v**2 - v + 1. Let r be d(m). Let l(y) = -5*y**2 + 4*y + 6. What is r*l(t) - 6*p(t)?\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.62 (b) -2\/17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -196386 minus 3935586?\nAnswer: -4131972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -51\/8, -0.4, 11321, -1, -0.1 in ascending order.\nAnswer: -51\/8, -1, -0.4, -0.1, 11321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = -4*g, -5*n - 3*g = -6*g - 11. List the prime factors of (26*15 - -6) + n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4509 + 7731 = 60*c. What is the remainder when c is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10158185 to the nearest ten thousand.\nAnswer: 10160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*n**2*o**3 - 19*n**2*o*t**2 - 104*n*o*t**2 - 4*n - 294931*o**3*t**2 - 112*o**2*t**2 wrt o?\nAnswer: 78*n**2 - 1769586*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 10) to base 7.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 53. Let v be (21\/(-6) - -3)\/((-2)\/o). Suppose -212 = -3*y + 220. Calculate the greatest common divisor of y and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -569.13 - -569.21. Let u = -0.34 + 0.84. Let y = -1 - -2. Which is the closest to y? (a) u (b) 4\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w + 19*w - 1. What is the derivative of -143*x**3 + 4*x**4 + 143*x**3 + w - 39*x**4 wrt x?\nAnswer: -140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (255*b**4 + 396*b**4 + 5*b**4)*(3 + 0 - 4) + (0*b - 4*b + 5*b)*(4*b**3 - b**3 - 5*b**3).\nAnswer: -658*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 1390\/100)*2\/(-3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 6 + 15 + 5 - (1 - -34)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-2)\/8*26. Suppose y = 5*z + 3. Solve 0*k - k - z = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from yvykyuvuykdykyvvuy?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2988141510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 372, 366, 362, 360, 360, 362?\n\"Answer: f**2 - 9*f + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) -3 (c) 143.9 (d) 1.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 169368, 338735, 508102?\n\"Answer: 169367*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m*m*m*m\/m**38*m*m*m**(-2\/19)*(m\/(m**27*m))\/((m*m**(9\/5))\/m) assuming m is positive.\nAnswer: m**(-5596\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a36 + 4?\nAnswer: 1a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) -2\/3 (c) -7.91 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.589 - -0.439. What is the nearest to 0.1 in c, -1\/10, -2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152999 divided by -22?\nAnswer: 13909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -871 (base 16) to base 12.\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 9.3. Let h = -14 + a. Let l = 7 + h. Sort -0.2, 2\/5, l in increasing order.\nAnswer: -0.2, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -224*v + 1. Let u(x) = 73*x - 1. Let n(i) = f(i) + 3*u(i). Let d(c) = 9*c + 4. Determine -2*d(h) - 5*n(h).\nAnswer: 7*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, a: 1, r: 1, l: 1, c: 1}. Give prob of sequence racl.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36892383 and 706.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 12. Let n be 1110\/(-285) + 2\/(-19). Let c(b) = -b - 4. Give n*d(w) - 11*c(w).\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 + 3\/1 + 1. Let s(g) = -321*g**2 - 12*g - 16. Let n be s(x). Round n to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*v - 6 = 0, -4*v = o - 2*o - 14. Let q(f) = 2*f**o + 10 - 4 - 8 + 4. Let m(u) = -3*u**2 - 5. What is -2*m(n) - 5*q(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73b (base 15) in base 11?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219 and 149343984?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -18, -12, -3082 in decreasing order.\nAnswer: -3, -12, -18, -3082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 136 + 68 + 69. Let j be w(1). What is the smallest value in -5, j, -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.898 - -0.102. Let r = 0.21 - 14.21. Let i = y + r. What is the smallest value in 3, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -442 - -441.9. Which is the nearest to -0.2? (a) 0.3 (b) 0.5 (c) v (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4 - 15244*f**3 + 29032194*f**2 + 58110128*f + 29062688 = 0. Calculate f.\nAnswer: -1, 3812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30873 + -30872.6. What is the third smallest value in -2\/7, 0.7, y?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86540\/3657 + -3\/1219. Let s be 702\/(-350) + 1 + 1. Let o = s - -1236\/1925. Find the common denominator of a and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 10. Let m(x) = -6*x + 6. Calculate -2*h(g) + 3*m(g).\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0a - 5?\nAnswer: a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r + 8. Let g be k(-6). Let n be (g\/3)\/(4\/(-6)). Suppose n + 15 = -4*b. Let m(u) = u**3 + 5*u**2. Determine m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/(-25) - 1)\/(18\/13500*-45).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3213 + -183. What are the prime factors of j?\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 455 - 453. Solve -9 = -w*b - 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(1380\/(-45)))\/(((-45)\/156)\/(-5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626 + 1829 = 5*u. What are the prime factors of u?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from boobob.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -47, -54, -63?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, b: 1, z: 4, p: 2}. Give prob of picking 1 p, 1 z, 1 x, and 1 b.\nAnswer: 64\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -43435\nAnswer: 3474.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 12:27 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61209, 61116, 61023, 60930, 60837?\n\"Answer: -93*q + 61302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**3 + 5*m**2 + 5*m - 9. Let l(q) = -20*q**3 + 8*q**2 + 8*q - 13. Let w(k) = -8*h(k) + 5*l(k). What is the derivative of w(r) wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8291952 and 1941?\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-35) + 74\/14. Suppose y = -o - 6224 - 6680, 3*o + w*y = -38720. What is o rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 - 11206*m**2 - 8487637*m + 5663406 = 0. Calculate m.\nAnswer: -2679, -1057, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 294337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 130 + -85?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 - 201797250*d**2 - 2036106505378125*d = 0. What is d?\nAnswer: -20179725, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1504)\/1316)\/((-52)\/14).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -11. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, i: 1, t: 4, j: 3, c: 2}. What is prob of sequence tic?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 0 - 1 = -3*z, 2*y - 12 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4752113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 5*j + 2*j + 3*j**2 + (0*j - 2*j + 0*j)*(-2 + 2 - 2*j).\nAnswer: 7*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 16. Let n = l - -12. Let f = 9.5 + -9.2. Which is the second smallest value? (a) f (b) 0.06 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = -3. Let d(g) = g**2 - 16*g - 81. Let j be d(20). Suppose -k = -4*i - 15, 0*i = i + 2*k + 15. Put i, j, o, -3 in decreasing order.\nAnswer: o, j, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 156 + -48 + -129?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-4)\/(-185))*-1. Let x = -12050 + 12124. What is the highest common divisor of x and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/12)\/(14\/(-112))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11767 from -4.\nAnswer: -4.11767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6965 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 96 = 0. What is y rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g + 106. Let d be i(-12). Let m = 9.9 - 1.9. Let j = -7 + m. Which is the closest to j? (a) -0.3 (b) -16 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -551.1 - -551.9963. What is m rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2050972716?\nAnswer: 2, 3, 13, 13147261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -20, -35, -66, -119, -200, -315?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 + 7*u**3 - 139*u**3)*(2 - 2 - u**2).\nAnswer: 128*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244563 plus 0.77016?\nAnswer: 244563.77016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 76, 62, 42, 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 10:35 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19187\/8 + 2407. Let o be (1\/8)\/((-12)\/(-77208)). Let m = o + -813. Calculate the common denominator of m and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4\/4 - z**3\/3 - z**2 - z - 33. Determine b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**4\/3 - 6769*l**3\/3 - 110127*l**2 + 756937*l\/3 - 138118\/3 = 0.\nAnswer: -1303, -53, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -18. Suppose -4*j - 5*g - 7 = 10, f = 5*j + g. Solve -6 = -j*u + 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 12) to base 16.\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 549 - 396. Let z = 141 - u. Solve 3*x + 5*a - 1 = 0, -2*a + 4*a = 2*x - z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*x**(-2\/3))\/x)*x*x\/((x**17\/x)\/x)*x assuming x is positive.\nAnswer: x**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0336 - 2.0336. Let h = 7 + -4. Suppose h*g - g - 10 = 0. What is the nearest to 0 in g, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-33)\/220)\/(3\/(-16)))\/(8\/(-2240)*-16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*q = n - 6, 0 = -4*n + 3*q + 28. Suppose -d + 6*d = -n, 5*z - 5*d - 95 = 0. What is the remainder when z is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iell when four letters picked without replacement from liiiiieeeieeilee.\nAnswer: 7\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.524721 + -0.012562677?\nAnswer: -1.537283677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -303924 divided by 129\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31140 = -1476*f + 1464*f. List the prime factors of f.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2. Let d = -25 - -13. Let v(g) = 15*g. Let t(q) = -6*q. Let x(b) = d*t(b) - 5*v(b). Determine x(u(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/11 - -147\/143. Let t = -3.3 + -0.7. Which is the third smallest value? (a) -0.5 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}