diff --git "a/data/dm_maths/full_data/10159_11255.jsonl" "b/data/dm_maths/full_data/10159_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10159_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 59*x + 49*x - 326*x + 57*x + 61*x + 58*x + 44*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1072 = s + 5*r, -2*s = 3*r - 895 - 1249. What are the prime factors of s?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h - 92*h = -79856. What are the prime factors of h?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1129, 1068, 981, 880, 777?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 - 1180*w**2 + 241*w + 59788. Calculate g(393).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 61*b**6 - 9*b**3 + 165*b**2. Let c(m) = -31*m**6 + 4*m**3 - 83*m**2. Let w(y) = -9*c(y) - 4*q(y). Find the third derivative of w(r) wrt r.\nAnswer: 4200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32115016 is divided by 7212?\nAnswer: 7192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 8765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -865318836 - -865311940.96989. Let f = v + 6895. Round f to three decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1783 (base 9) to base 4.\nAnswer: 111123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, h: 5, u: 4}. Give prob of picking 3 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 44 + (-67 + 0 - -63)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/836*-38*22\/20?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 10780*g + 21568.\nAnswer: -2*(g - 5392)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.4 (c) -2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 + p + 3. Let c be o(0). What is the first derivative of 0*q**3 + 3*q**3 + 0*q**c - 4*q**3 + 1 wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 3*i - 16 - 35 = -4*u, -2*u - 4*i = -24 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776935107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11)*d)\/d*(d*d\/d**(10\/7))\/d*d*d*d**(-14)*d*d\/(d\/(d\/(d*d\/d**(8\/7)*d))*d) assuming d is positive.\nAnswer: d**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 56. Let c be z(-26). Suppose -5*g + 8*t = c*t + 31, t = 2*g + 10. What is the tens digit of 3 - (-104)\/((-12)\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*g + 22 = 0, 30 - 12 = 4*j - 3*g. Let u(s) be the second derivative of -31\/6*s**j + 0*s**2 + 2*s + 0. Let f(a) = a. What is f(u(z))?\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Suppose 0 = -6*q + l*q + 15. Find the second derivative of 2*j - 2*j**5 - j + 2*j + 3*j**q wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 28*s - 32. Let y(l) = -35*l + 32. Let h(t) = -4*n(t) - 3*y(t). What is h(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 446012 divided by 111503\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwwnn. Give prob of sequence ww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640) + sqrt(640) + 6*(sqrt(640) + (sqrt(640)*2 - sqrt(640)) + sqrt(640) - sqrt(640)))*-6)\/((sqrt(1944)*-1 - sqrt(1944))\/(sqrt(108)\/sqrt(4))).\nAnswer: 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 2*c**2 + c**5 + (2*c**2 - 2*c**2 + 2*c**2)*(-c**2 - 2*c**3 + c**2) + 24*c + 10*c + 2*c**5 - 3*c**5.\nAnswer: -4*c**5 + 34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/12 + (-2)\/12. Let u = 3 - 1. Let v be u\/(-6) - (-26)\/42. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 33733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**11*s\/(s*s**(-2\/21)))\/(s**25)**(-17))**43 assuming s is positive.\nAnswer: s**(393794\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 173239*y - 4 + 5 - 181852*y - 1 in the form w*y + s and give w.\nAnswer: -8613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -377, -1463, -3271, -5801, -9053, -13027, -17723?\n\"Answer: -361*w**2 - 3*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 2\/9, 4, -4 in ascending order.\nAnswer: -25, -4, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 23 = 15*f + 4*b, 13 = 42*f - 2*b - 18 + 5 - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101021 + 102?\nAnswer: 101123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 34*w**2 + 1976*w + 49311. Give g(-22).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 10*s**5 - 1415*s**4 + 366*s**3 + 1804*s**2 + 904*s - 111. Suppose y(x) = 0. What is x?\nAnswer: -2\/5, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -3*-3*sqrt(432))**2*-5 - (0 + 1 + sqrt(432) + 0).\nAnswer: -216001 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -862.\nAnswer: 3\/862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*y - 4*r - 0*r, 0 = -5*y - r - 7. Let u(a) = -a**3 - a**2 + a. Let n(x) = 2*x**3 + 4*x**2 - 12*x - 1. Determine y*n(h) - 4*u(h).\nAnswer: 2*h**3 + 8*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2923 + 5878 - 2955 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 23*n - 2 - 50*n + 25*n.\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7. Suppose -p + 5 = -4*w, -w + k*p + p - 5 = 0. Let j(c) = -c**2 + c - 5. Calculate j(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**2 - 29*g + 19. Let p(z) = -5*z**2 + 14*z - 10. Let a(l) = -2*c(l) - 5*p(l). Factor a(i).\nAnswer: 3*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6d8 (base 16) to base 14\nAnswer: 8d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1603.09 - -13.\nAnswer: 1616.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 1. Let j be r(5). Let c(h) = h**2 - 4*h - 2. What is c(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 = 2. What is the remainder when 32 is divided by 1 + u + -4 + 3 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4288*c + 4282*c - 126 = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 13517753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3008*i - 2599 with respect to i.\nAnswer: 3008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -22 (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 242, 92, 22?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Let s be o(-3). Let g(w) = w**2 + 2*w - 3. Let t be g(s). Let l = t - 3. Solve -l*b - 2 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 144 = 2*f. Let b be 6\/1 + f\/(-9). Factor -4 + 5*z**b - z**2 + 0*z**2.\nAnswer: 4*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 9. Let c = 119 + -36. Suppose 0 = 2*x - 17 - c. Calculate the remainder when x is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 4*k**2 + 6*k - 5. Let a be o(5). Let l be 15*-2800 + a\/(-8). Round l to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**2 - 11*u**2 + 8*u**2 + 2*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f + 2. Let q(d) be the second derivative of d**3\/6 + 5200*d. Suppose 0 = 7*r - 6*r + 3. Determine r*q(w) - o(w).\nAnswer: -8*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - -101?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 252 or 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675 + 135*t - 319 - 356.\nAnswer: 135*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*i - n - 3*n, -4*i + n + 33 = 0. Suppose 5*w - 5*t - 4 = -4*t, -w + i = -2*t. Let b = 9128 - 9129. Put b, w, -2, 4 in ascending order.\nAnswer: -2, b, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -230, -233, -236, -239?\n\"Answer: -3*p - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) - (-153)\/21. Let o = i - 5. Let v(r) = 2*r - 2*r**2 - 3 + r**o + r**2 - r**2. What is v(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a = -2*f + 149298276, -5*f = -25. Let j = -112499133 - a. What is j rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feefe. Give prob of picking 1 f and 1 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25152 (base 8) in base 11?\nAnswer: 8181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -23 - 7. Determine h so that -2*h**3 + 0*h**5 + 4*h**4 + 10 - r - 2*h**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvzhvvvhvlvhzlvhuvz. Give prob of picking 1 l and 1 z.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three fifths of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 9*p**3)*(13*p + 2*p - 5*p + (p - 10*p + 24*p)*(-2 + 1 + 2)).\nAnswer: 225*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*62*(-101)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2 = 4*s + 29, -4*z - 2*s - 20 = 0. Let k be (147\/(-12) - 14\/(-8))*(-24)\/(-14). What are the prime factors of (-653)\/(-3) + (-4)\/k*z?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 7) to base 14.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/2*11\/(-5)*14. Calculate the greatest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302222320 (base 4) to base 2.\nAnswer: -110010101010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 27*d - 42. Let l(j) = 23*j - 41. Determine -7*l(t) + 6*p(t).\nAnswer: t + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645.8042 days to nanoseconds.\nAnswer: 55797482880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -6 + -1)*133\/(-21). What is the greatest common factor of l and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/480 and -101\/4.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186500 a multiple of 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12350)\/689)\/2 - (-2 + 2 + -9).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 618*r - 318*r.\nAnswer: -936*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bag when three letters picked without replacement from tbaggbtttttggttagagg.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i = 4*d + 425, -5*d - 187 = -2*i. Suppose 0 = -h - 2*h + i. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 + 65 = -19*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1208064 and 89\/123552?\nAnswer: 10872576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 344*o**2 + 1010*o + 1008. What is d(169)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1493.443611 to 1 decimal place.\nAnswer: 1493.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 20 = -3*j. Let a be 3\/6 - (-10)\/4. Let w = a + j. Which is smaller: w or -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2749, -6647, -13131, -22195, -33833, -48039, -64807, -84131?\n\"Answer: m**3 - 1299*m**2 - 8*m - 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 137, 206, 277, 350?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d + 11*d - 14*d as k*d + l and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.1 - -80.694578.\nAnswer: 70.594578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 206\/(-42) - (-380)\/76 - 0. Let q be 4\/(-18) + 168\/27. What is the closest to 0.1 in q, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*n + 7*n - 57 = -585. Solve -7 = -5*g - 4*f, 7*g = 5*g + 3*f - n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 8*b**3 - b**3 + (-3 + 2*b**2 + 3)*(-10*b + 40 - 40) - b**3 + 0*b**3 - 4*b**3.\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1000 + 1091. What is the least common multiple of w and 130?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1458)\/(-45))\/(-9)*(-46)\/(1380\/150).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.6. Which is greater: -11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**4))\/(i\/(i*i\/(i\/i**(-2\/17))*i*i))*i**(-7)*i**(3\/22)\/(i**0\/i**(4\/5)) assuming i is positive.\nAnswer: i**(-15299\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 1. Let m be 6344\/78 + (-10)\/(-6). Let s = m + n. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 21) + (-4 - -1). Suppose -y + 6*y - 115 = 0. Let i = r - y. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19546\/27 + 724. Let g = 23\/54 + z. What is the nearest to -1 in 5, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 131*g + 11020. Give q(-84).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1915.\nAnswer: 6\/1915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b. Let l(y) = 24*y - 3. Calculate m(l(d)).\nAnswer: 216*d - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 1. Let b be s(3). Let z(q) = -2*q + 9. Let k be z(0). Let g(f) = -6*f + k*f + 2 - f. What is g(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*h**3\/2 + 138*h**2 + 177*h\/2 - 45.\nAnswer: 3*(h + 1)*(h + 30)*(3*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, r: 3, x: 4}. What is prob of sequence rrxa?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1045194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, f: 5}. What is prob of picking 1 g and 2 f?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 3*y**4\/4 + 11*y + 9. What is the derivative of a(d) wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**3 - 2*m + 737*m**2 - 3264*m**2 - 6*m**3 + m - 1336*m**2 as i + z*m + r*m**2 + x*m**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 5*b - 4. Let x be u(-3). Suppose -3*q + 6*s = x*s + 4, 0 = -q + 2*s - 4. Put -3, q, 11 in descending order.\nAnswer: 11, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = w. Let z = w - -4. Suppose -2*v - 57 = -z*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = -2*g, -2*n - 3*g - 15 = 3*n. Let o be ((-3)\/n)\/((-3)\/(-6)). Is -2\/13 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -13. What is the third derivative of 14*z**2 + 3*z**5 + 5*z**6 - 3*z**f - 5*z**2 wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*k + 2 - 2 to the form a*k + i and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5628 divided by 4.\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250910?\nAnswer: 2, 3, 5, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/16)\/((-1)\/(-4)). Let h = q + -6. Let n(b) = -2*b**2 - 4*b - 3. Let u(a) = 3*a + 0*a + 27 + a**2 - 12 - 13 + 0*a. What is h*n(x) - 4*u(x)?\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 542793101 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -155451923 divided by 11?\nAnswer: -14131993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (120\/32)\/((-1)\/(-8) - 0). Calculate the highest common divisor of y and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 6. Let t be f(6). Suppose t = 3*u + 24 - 129. Calculate the greatest common divisor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from {y: 1, o: 1, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4563 - 2923 - 7105 + 3005 - 12364)*(4 - 3*n**2 - 4) to the form d + r*n**2 + a*n and give r.\nAnswer: 71850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 72551.09kg?\nAnswer: 72551090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 3, -8, 176, -4 in descending order.\nAnswer: 176, 3, -4, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 102, 169, 290, 471, 718, 1037, 1434?\n\"Answer: o**3 + 21*o**2 - 3*o + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n + c + 21 = -39, -14*n + 16*n - 5*c = -8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.3 (b) 6441 (c) -0.4 (d) -0.3 (e) 3 (f) 1\/47 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*j - 184 + 654 = -126*j. Solve j*p + 57 = -3 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15*f**2. Let v(t) be the third derivative of -t**4\/6 + 35*t**2. Determine r(v(g)).\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 13 - -1 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -284 + 89. Let x be (1 + 41)\/(-3)*(n - -16). Calculate the highest common divisor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 43*g + 85. Calculate z(20).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -66 - 24. Let v be 141\/(-45) + 4\/h. Sort 5, v, -6\/5 in decreasing order.\nAnswer: 5, -6\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 946 and 0.05.\nAnswer: 47.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -2*m - 1\/3*m**3 + 0*m**2 + 16. Let l(u) = -15*u. What is y(l(a))?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 2859 = 3027 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, -24, -0.3, -1\/145 in descending order.\nAnswer: 0.4, -1\/145, -0.3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -57 (b) -0.2 (c) 31140 (d) -19 (e) -3 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 43) + 0 + (-19)\/6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12 + 0 + p - 73*p**2 + 5 wrt p.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 12. Let h = y - -12. Let v be h + (-1 - 2) + 3. Solve 4*l = -5*a + v*a + 6, 3*a + 6 = -l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -7) + -28 + 23 + 10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3851*c - 5. Let u(s) = -1943*s - 2. Calculate 4*l(m) - 9*u(m).\nAnswer: 2083*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -759\/2413078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*l - 16 = 0, -l + 2 = -4*h + 4*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 64 = 5*h - 2*h, 5*p = 2*h + 35. Is 449\/2*(30 + h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(68))\/(6*sqrt(64)) + ((sqrt(102) - sqrt(102)*-2)*-2)\/((sqrt(96)\/sqrt(2))\/sqrt(8)).\nAnswer: -71*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + 2*h - 374*h**2 - 1 + 387*h**2 as d*h**2 + q*h + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*d + 7*d + 21, 0 = -5*g - d + 126. Solve 39*u + 42 = g*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/3 - 499*t**3\/3 + 3025*t**2\/3 - 2525*t\/3 = 0.\nAnswer: -505, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.364417 to 3 dps.\nAnswer: -0.364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 3*r - 4. Let a(b) = 9*b + 5. Let d be a(9). Suppose v - 4*p - 48 = 0, d = v + v + 2*p. Calculate the lowest common multiple of v and k(5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = 5*t. What is the remainder when (-9)\/3 - (0 + -7) is divided by 3 + -1 - (t + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b - 6*b - 2*b. Let k(x) be the first derivative of 6*x**2 + 39. What is t(k(g))?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 44.6, 10565\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 + 3*b**2 - 4 = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 25*m**2 - 19*m**2 - 1 - 10*m + 0 - 7*m**2. What is w(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -169 (b) 0.5 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lblllblbllb. What is prob of sequence bbbl?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232230 - 11?\nAnswer: -232301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n - 17*n - 105. Let h = n + -87. Suppose -2*z = 2*z - 72. What is the least common multiple of h and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfsdshskfhdfhsss. Give prob of sequence dd.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-12)\/3 - -98). Let n = 71\/1128 - i. Is 0 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 at least 191066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121002 (base 3) to base 16.\nAnswer: -48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 20)*12\/(-30). Suppose -g + u = 3*g. What is the lowest common multiple of (18 + g)*4\/8 and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16293.998203 + -16294. What is o rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/5*115\/46\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 + 7*f**2 - 69 + f**2 + 0*f**2.\nAnswer: f**2 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -m. Let d be m\/6*(-6 + 15). Determine n, given that -2 - 2*n**3 + 12 - d*n**2 - 2 + 0*n**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 0*u = 27. Let w(x) be the first derivative of 1\/10*x**5 + 0*x + 1\/2*x**u - 3 + 1\/4*x**2 + 3\/8*x**4. Find j, given that w(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 1. Let s be a(-2). Let i(l) = -3*l + 5 - l**2 + s*l. Calculate the lowest common multiple of i(0) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 37640?\nAnswer: 150560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 5:19 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004977507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-394 + 1 - -5) + (4 - -1). Let s = n - -384. Solve s = -p - a - 2, 0 = 5*p + 3*a + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-28))\/(2\/(-43492)). Suppose -24*r = -29759 - p. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2271299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 4*w - 9. Let s be x(5). Sort -0.4, -0.5, s, 0.3 in decreasing order.\nAnswer: 0.3, -0.4, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.473404 to one dp.\nAnswer: 38.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -7, -12, 212, 2\/7 in descending order.\nAnswer: 212, 2\/7, -3\/5, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1387, -2790, -4193?\nAnswer: -5596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 37 = 19. What are the prime factors of (l - 72\/(-6)) + 434?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-16)\/(r**(-17)\/r) assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*t + 13 = 3, -25 = 4*l - 5*t. Suppose -r + 4*r = l. Is 2\/9 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.7 + 43.68856. Round y to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 6*b + 5379 - 5457 = 0, -b - 19 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7251475.\nAnswer: 5, 7, 11, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04817 - -240.30183. What is y rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3782279 and 1054.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12141*n + 0*n**3 - 2 + 2*n**3 - n**2 + 12139*n. Give b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -15*s + 624. Suppose -70*f = -s*f - 66. Factor 5\/3*n + 5\/3*n**f + 10\/3*n**2 + 0.\nAnswer: 5*n*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52630 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 715\/(-15) - 2\/(-6). Suppose -4*q = -2*g - 0*q + 40, 2*q - p = -2*g. Suppose -76 = -c - g. Calculate the greatest common factor of 130 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(210) - (sqrt(210)*1*-3 + sqrt(210)))\/(sqrt(21)\/sqrt(27)))\/(1*sqrt(10)*2 - sqrt(90)\/sqrt(36)).\nAnswer: 3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3 = 5*i, -30 = -288*i + 283*i + 5*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49237 is divided by 524?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.49 + 0.97. Let l = -1.82 - j. Which is bigger: l or -34\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 8:38 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19944, 20088, 20476, 21228, 22464?\n\"Answer: 20*h**3 + 2*h**2 - 2*h + 19924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -603a4f - 2?\nAnswer: -603a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*m = 0, 17*g - 15*g + 3*m = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 15 + 3 = 0. Let f(o) = 0*o**2 - 6*o + 5 + 2*o + 3 - o**z. Give f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 2*a - 8 + 15, 24*o = -4*a - 116 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 803935?\nAnswer: 4019675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 9*v - 4. Let q(d) = -5*d**2 + 25*d - 9. Let r(u) = 29*u**2 - 149*u + 51. Let s(j) = 35*q(j) + 6*r(j). Calculate 5*a(c) - 2*s(c).\nAnswer: -3*c**2 - 7*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*s**4 - 16*s**2 + 16*s**2)*(-80 - 66 + 27) - 4*s + 4*s + s**4 - 2*s**4 - 21*s - 9 + 21*s.\nAnswer: 1427*s**4 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5368456 is divided by 776.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 532973 divided by -351\nAnswer: -532973\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 12*d + 4, -h + d = -5*d + 2*d - 28 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) -22 (c) -51504 (d) 1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)**50*(d**1*d)\/d**3)**39 assuming d is positive.\nAnswer: d**3861","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 2*o**4 - 46*o**2 - 4870*o**3 + 4869*o**3 + 1 as a*o**2 + s*o + g + z*o**4 + w*o**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/4 - 99*n**2\/4 - 1959*n\/4 + 2059\/4 = 0. Calculate n.\nAnswer: -71, -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z*z**(-2\/5)))*z**6)**42\/((z*z*z**0)\/z**(-1\/4))**(-37) assuming z is positive.\nAnswer: z**(8049\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*o + 141*o + 135*o = 4*h - 65, -2*o + 5*h + 26 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25595 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**7\/126 - g**6\/90 - g**5\/20 + g**4\/36 + g**3\/9 + 49*g - 21. Let i(m) be the first derivative of n(m). Factor i(r).\nAnswer: r*(r - 2)*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 171\/15*(-12595)\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 10*l**2 - 5*l - 11. Let v(z) = 5*z**3 + 21*z**2 - 10*z - 23. Let x(r) = 7*f(r) - 3*v(r). Let s = 2097 + -2091. Give x(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-7))\/((-230)\/(-322)). Which is the nearest to h? (a) -0.4 (b) -41 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 58*o + 0*o**3 + 0*o**2 + 6\/5*o**5 + 225 - 1\/4*o**4. Differentiate f(r) with respect to r.\nAnswer: 24*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 9:40 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -0.02 (c) 5 (d) 104 (e) 2\/13 (f) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6541? (a) -4 (b) -0.9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n + 5. Suppose 2*u + 3*z = -z + 36, -68 = -n*u - 4*z. Suppose -4*l + 0 = u. Let a(s) = 2*s**2 + 4*s - 4. Calculate a(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/1900 and -71\/16910.\nAnswer: 169100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.1, -205, 2\/15, 1\/5, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 53*y = 56. Sort y, -3\/7, 0.2 in ascending order.\nAnswer: -3\/7, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49632 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 7:25 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014205 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4341.\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35803 + 217916. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 2, d: 1, j: 2, n: 3, v: 7}. Give prob of picking 2 d and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-189)\/39) - 40\/140. Sort -0.076, -2\/3, 0.5, d.\nAnswer: -2\/3, -0.076, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l**2 + 0*l**2 + l**2)*(l + 0*l + 0*l) - 27*l**3 + 40*l**3 - 31*l**3)*(-5*l + 0*l + 3*l).\nAnswer: 34*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.4315072 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrlllllrlrrlrl. What is prob of picking 2 r?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j + 35 + 8*j - 34.\nAnswer: -5*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**3 - 17*k**3 - 11*k**3 - 13*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k**2 + 26*k**2 + 23*k**2 - 77*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 31045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from zfffjjaozjvzav.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 minus 68?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 10)\/(-1) + 3. Let t be -3 - p - 24\/2. Let l = -16912 - -84558\/5. Sort l, -3, t in decreasing order.\nAnswer: l, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(1216)*1 + (sqrt(1216) - (sqrt(1216) + (0 + sqrt(1216))*3)))**2 + 0.\nAnswer: 19453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 2*g - g + 5*g in the form i*g + q and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 135371998 = 135371996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -5 in decreasing order.\nAnswer: 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -31*h**9\/60480 + h**8\/20160 + h**5\/30 + 13*h**3\/3 + 6*h**2 - 4. Let x(o) be the third derivative of i(o). Give x(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((2*sqrt(216) - sqrt(216) - sqrt(216))\/sqrt(8))\/sqrt(9))**2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 23*p + 8. Let m(h) = -63*h - 23. Let u(t) = 11*g(t) + 4*m(t). Let n(c) = -23*c. Determine n(u(l)).\nAnswer: -23*l + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1 + sqrt(1088))**2 + sqrt(85)\/sqrt(80)).\nAnswer: -2178 - 65*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 33*l**5\/40 + l**4\/16 + 999*l**2. Solve d(j) = 0 for j.\nAnswer: -1\/33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*j - 39*j - 42*j**2 - 18*j in the form h*j**2 + d + y*j and give y.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5532 and 33954033.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8*x + 8*x - 2*x - 20 - 18. What is f(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + 1 + 5\/(-1). Let n be (0 - -19) + j\/(-3). Let v(i) = -i**2 + 16*i + 38. What are the prime factors of v(n)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24267, 48626, 72981, 97332, 121679?\n\"Answer: -2*t**2 + 24365*t - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30835395, 30835393, 30835391, 30835389?\n\"Answer: -2*r + 30835397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5510892 by 492.\nAnswer: 11201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -25*m + 1. Let t(c) = 126*c - 6. Determine 3*t(f) + 16*z(f).\nAnswer: -22*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/360 - o**3\/2 + 2*o. Let k(n) be the second derivative of p(n). Let t(y) = 3*y + 2*y**2 - 3*y. Determine t(k(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/8, 0.0052, -2689?\nAnswer: -2689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648\/2 - (-17)\/(-68)*32 is divided by 152.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11441 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + -7 - (-4 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 125 = 323. What is the remainder when r is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/9)\/(190\/353970*-69)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yymm when four letters picked without replacement from {y: 2, m: 5, r: 5}?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*(3 - -1). Let x be ((-10)\/4)\/(10\/(-8)). Let c = x - 4. Is c greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58615)\/(-1851) + 4\/(-18)*-15. Solve 0 = -p + 5*x + 35, 3*p = -2*p + 5*x + a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -32 - 35) + (8 - 13) + -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:55 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21871 to three decimal places.\nAnswer: 0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11569*k**3 - 358*k**5 - 118*k**5 - 11569*k**3 + (-k + k - k)*(-44*k**2 + 44*k**2 + 3*k**4).\nAnswer: -479*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13861\/2990 - -51\/115. What is the common denominator of 23\/3 and u?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*(-1)\/(-3) + -3. Suppose x*t - 119 - 59 = 0. Let f = 53 + -30. What is the remainder when t is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 41*t - 4. Let f(d) = 40*d - 3. Let o(h) = -7*f(h) + 6*k(h). Suppose 2*c + 1 = -3. Let x be o(c). What is the greatest common factor of x and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -673 + 688. Suppose 0 = 4*i - f - 2 - 3, -4*i - 3*f - q = 0. Solve -n = -3*r - 14 - 0, i = r - 5*n + 28 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h + 3*h + 5*h)*(0 + 0 + 1) in the form o*h + d and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2905 - 3015. Which is the closest to 1? (a) 4\/7 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 11*q**4 + (-q**2 - q**2 + 0*q**2)*(4*q**2 - q**2 + 0*q**2) + (-2*q**2 - 4*q**2 + 5*q**2)*(0*q**2 + 4*q**2 - q**2).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*p + 112*p + l - 4, -4*p - 4*l + 16 = 0. Do 62\/51 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101*-0.1\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4026 - 2368. What are the prime factors of u?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*w**3 + w**2 - 22*w**4 - 2*w**2 + 122*w**3 + 10 - 57*w**3 - 2*w as q*w + o*w**2 + i + u*w**3 + h*w**4 and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393462.\nAnswer: 2, 3, 21859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 18 = 3*q - 0*r, -5*q - 2*r + 30 = 0. Suppose -2*u = -q*u + 26400000. Suppose 0*z + z = -u. What is z rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.072 + -0.028. What is the nearest to n in -4, -6, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2. Let f(h) = -h**3 + 4*h**2 + 2. Let v be f(3). Let d(l) = v*l - 84 - 90 + 174. What is d(i(s))?\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dee when three letters picked without replacement from heledldvdrevlvd?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*(p*p**(6\/5))\/p)\/((p\/p**44)\/p))\/((p*p**(1\/23))\/(p*p*p**20)))**(2\/67) assuming p is positive.\nAnswer: p**(15676\/7705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1. Let i(p) = 16*p**3 - p**2 - p - 1. Give i(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-48)\/(-10)*21\/14*25 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 5*c**2 - 2*c + 4. Let p be j(-4). Let r be (2\/(-4))\/((-1)\/2). Let n(d) = d**3 - 4*d + 3. Let x be n(2). Put r, x, p in ascending order.\nAnswer: p, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*u = -2*o + 54, 4*o + 156 = -3*u. Let t = o - -265. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98.350004959 + -98.35. Round c to seven dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23753 (base 12) to base 3\nAnswer: 2102110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.874+-20810875\nAnswer: -20810871.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 1 (c) -35\/6 (d) -146\/5 (e) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 8*d - 12. Let a be i(-5). Let t(w) be the third derivative of -1\/30*w**5 + 0 - 1\/3*w**a + 0*w + 2*w**2 - 1\/6*w**4. Factor t(b).\nAnswer: -2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/9*(-1)\/2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 4*h - 3*h)*(4 - 4 + h**2) + 2*h**3 - h**3 - 2*h**3 - 142402 - h**3 + 243*h**3 + 142403 + 4*h**2.\nAnswer: 239*h**3 + 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1878 - -0.0878. What is the nearest to -2 in 0, -53, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (11 + 10) - -62?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*q + 412 = 52, 2*s - 188 = -5*q. Suppose 4*n = s - 21. Let y = 19 - n. Solve 5*k = -4*t - 33, -2 = -y*k - t - 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103.8 - -100.8. What is the biggest value in -1, g, -63\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.198391 and 0.5.\nAnswer: -0.0991955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9666?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 270, 260, 248, 234?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*p - 69 - 46, p - 97 = -4*w. Solve -f - 2*d = -5, w*f = 25*f + 3*d - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-4\/5)*d)\/d**(-6))\/(d*d*d\/(d\/d**(3\/7)*d*d)*d*d*d**(-7)) assuming d is positive.\nAnswer: d**(447\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*b**2 + 52*b**4 - 82*b**2 + (b - b + b)*(1 - 1 + b**3) - b**4 + 3*b**4 - b**4 in the form y*b**3 + k + t*b**4 + m*b + i*b**2 and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 69296515*v - 138593010.\nAnswer: -5*(v + 2)*(v + 13859301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(2) - sqrt(2)))**2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -27?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 10*i**2 + 16*i - 19. Let u be s(11). Let c be 3 + -4*(-1)\/2. Suppose -2*a = -f - 4, -c*a - 5*f + u = -f. Is a < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*s - 7, 2*z - 2*s - 4 = 6. Let x be z\/16 + (-4)\/(-16). Find p such that 1\/2*p + 0 + x*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5. Let o(k) = 2*k - 16. Let s be o(7). Sort 2, t, s.\nAnswer: t, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 71. Let f be w(-11). Solve 2*u + 4*j - 22 = u, u - f*j + 23 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*a + 14 + 22 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 4 + sqrt(684) + 0 + -3 + sqrt(684)*-5)**2.\nAnswer: -36*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y - 230. Let i be 585\/35 - 8\/(-28). Suppose -2*p + 38 = k - 30, 5*k - 347 = -3*p. What is the remainder when k is divided by l(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1466, -1361, -1256, -1151?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8161*i**3 + 684*i**2 + 4*i?\nAnswer: -48966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -295\/277118 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 12. Determine v(13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-1289*o**3 + 867*o**3 - 1088*o**3 - 108*o**3 - 868*o**3).\nAnswer: -4972*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18 + 2625\/147)\/(1\/(-7)). Let y(m) = -12*m**3 - 18*m**2 + 18*m - 18. Let p(v) = -v**2 + v - 1. Give b*y(c) - 18*p(c).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -77. Suppose -c = -2*k - 0*k + 240003, 4*k + 3*c - 479991 = f. What is k rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 596*i + 1239. Determine p(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -91) + -46 - -10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 2}. Give prob of picking 1 k and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 1. Let a(j) be the second derivative of -j**4\/12 - j**3 + 2*j**2 - 3*j. List the prime factors of a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/3, 1114, -9, 0.2, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 5*h + 9, -4*h = -5*x. Suppose -l + 6*l = -3*z + 121, -x*z = l - 31. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**3 - 12*a**2 + 27*a - 65. Is z(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:37 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10cac6 (base 14) to base 8\nAnswer: -2136726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*h**3*v**2 + 480163*c**2*h**3*v - c**2*h**2*v + 12*c**2*h*v**2 - 7*c*h*v - 3*c*v**2 - 39*c*v + 2*h**2 wrt h.\nAnswer: 6*c**2*v**2 + 2880978*c**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j**6 + 11\/3*j**3 + 0*j**2 + 0*j**4 + 0*j - 15 + 0*j**5 + 5\/7*j**7. What is the third derivative of k(w) wrt w?\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + v - 1 + (-v - 2*v + v)*(3 - 1 - 1) + 0*v + 3*v - 5*v + 260*v - 3238 + 3238 + 109*v.\nAnswer: 366*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1\/(203\/(-210) - -1))\/(190\/228)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 3 - 2) + 12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let m be j(-6). Suppose -m = x - 22. Solve -d = 4*d - x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 10*k + 46*k to the form w + y*k and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532 = 102*q - 69*q - 52*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 4:01 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129595541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4242332 (base 5) to base 10.\nAnswer: -71592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*z + 6*z**3 + 131*z - 65*z)*(-z**2 - z**2 - z**2).\nAnswer: -18*z**5 - 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -52.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7 - -187)\/30 - (-12454)\/(-2070) and 17\/495.\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27282 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13565*b**2 + 20298 wrt b?\nAnswer: -27130*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 2*o - 4*o)*(16*o**2 + 2*o + 0*o**3 - 24*o**2 + o**3) in the form z*o**3 + a*o**2 + h*o + s*o**4 + l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 42 = 10. Solve 0 + 0*b**3 + 2\/5*b**2 - 2\/5*b**z - 1\/5*b**5 + 1\/5*b = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -13*r - 144. Let l(v) = 2*v - 6. Give -5*l(h) - m(h).\nAnswer: 3*h + 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0738 + 0.2262. Which is the fifth biggest value? (a) p (b) 0.02 (c) 0 (d) -1\/3 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-5)*(-120)\/(-48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 439 + -439.1. Let h = 2 - 0. What is the closest to d in -2\/21, -1\/7, h?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(119)\/(sqrt(21)\/sqrt(3)) + sqrt(51)\/sqrt(12))*-3)**2 + 2 + sqrt(272) + -1 + sqrt(272) + 3 + -2.\nAnswer: 8*sqrt(17) + 34433\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 89 + 291. Solve -50 + b = 2*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 3*d**2 + 22. What are the prime factors of m(7)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -39*x**2 + 5*x + 4. Let i(l) = 43*l**2 + 96*l + 11. Let a(g) = 22*g**2 + 58*g + 7. Let h(z) = 5*a(z) - 3*i(z). Give 2*d(o) - 5*h(o).\nAnswer: 17*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16722561 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - (-18)\/12. Suppose x + 1 + 3 = -u, a*x - 34 = 5*u. Let s be u\/(-18) - (-2)\/6. Sort -0.4, 4, s.\nAnswer: -0.4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 8*y + 1. Let x be d(6). Let i = -6 + x. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 + 19 = 2*t, 0 = 4*t - 4*q - 44. Let c = t - 7. What is the third derivative of -7*m**2 + 2*m**6 - c*m**6 + 8*m**2 wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 6*v - 8. Let p(z) = -5*z + 12 + 4*z + 3*z. Let b be p(-9). Is 14 a factor of h(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/104*52*1\/3*-1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 19\/210*w**7 + 37*w**2 + 0*w + 1\/24*w**4 + 0*w**6 + 0*w**3 + 0 + 0*w**5. What is the second derivative of c(h) wrt h?\nAnswer: 228*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = 3*k, 4*j + 16 = -5*k + 57. Suppose -84 = -3*w - j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21113 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -304\/5. Which is the second smallest value? (a) 2\/11 (b) 1\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000377003572 to seven dps.\nAnswer: -0.0000377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 102, 1\/2 in ascending order.\nAnswer: 0.2, 1\/2, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*f - 0 + 10, -2*k + 4 = 0. Let c be (3\/6)\/(18 + -16). What is the closest to c in -12\/13, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -130323322?\nAnswer: 130330020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 divided by 334?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 6. Let v be t(13). Calculate the highest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-15)*((-2904)\/32 + 19 + 13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46579.331 and 0.2.\nAnswer: -9315.8662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0595 - 6.5895. Let h = t - -6.5978. What is h rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v**2 + 59*v**2 + 0*v**2 - 183*v**2 + 35*v**2.\nAnswer: -61*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-16))\/(r\/(r*r*r*r**(-17)*r))*r**(-24)\/r**(-27))**12 assuming r is positive.\nAnswer: r**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b - 40 + 40)*(-b**4 + 0*b**4 - b**4) + 11*b**5 + 11*b**2 - 11*b**2.\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ttttttttttttttttttto.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 7*j**2 + 8*j + 3. Let a be b(6). Let x = 24 - a. Let w = x - 1. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 - 60*h + 41. Determine p(13).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:40 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - -54)*(2 - 1848\/900).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-18)*24\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -32*r + 22*r. Let p(h) be the third derivative of h**4\/24 + h**3\/6 + 35*h**2. Calculate p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1036 - 1019. Solve 6*w - 2*p - 5 = 3*w, -4*p = 3*w - u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*s + 42, -l + 59 = 3*s - 6*l. Solve 4 = 2*m, -3*j + s = m - 2*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - -101?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -0.0315?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 90*v**2 - 56*v + 22050. Calculate o(92).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -77 and 16.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.581 - -0.111. Let g = n - -0.28. Let l = g + 0.09. Which is the nearest to l? (a) 4 (b) -1\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25290 not equal to 25281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpo when three letters picked without replacement from opppepppdepepeoddee.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -33. Let k(b) = b + 11. Let r be k(-9). Suppose 10 = r*x - 0*x. Solve x*p = -0*c - c - w, 3*c + 5 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/8)\/(219\/72 - 3). Let y(m) = -2*m + 6. Let r be y(8). List the prime factors of (25\/r*4)\/((-2)\/f).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -815.3257 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.2. Let d = 366 + -368. What is the biggest value in d, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 3*t**2 - 5*t - 5. Let k(q) be the second derivative of -q**5\/20 - q**4\/12 + q**3\/3 + q**2 - 513*q. Determine 5*k(v) + 2*w(v).\nAnswer: -3*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d. Let p(z) = -2178*z. Calculate p(b(l)).\nAnswer: 13068*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - 4) + (-2 - 2) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {r: 4, t: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1670 + 1755. Suppose 0 = -3*g - g. Suppose g = -3*y - 2 + 53. Calculate the highest common factor of f and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2))**40)**30 assuming i is positive.\nAnswer: i**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 8*i + 61*i - 26*i**2.\nAnswer: -23*i**2 + 69*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12207.91 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*p + 2852, 3*j + 11393 = -j + 5*p. Is j\/(-7) + 2\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 892 = 2*l, 0*k = k - 2*l - 229. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(7 - (4 - 52\/(-12))). Solve 26*d - 21*d - m = -p, -6 = -2*p - 2*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174622 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44915209*t*u**4 + 321807*t*u + t - 13*u wrt u?\nAnswer: -538982508*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - -87. Suppose o - 140 = -3*v. What is the remainder when 217 is divided by v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -106. Let q = -81.2957 - -9.3527. Let j = w + q. What is j rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, o: 3, v: 1, k: 2, e: 5}. What is prob of picking 1 o and 1 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - 47 - (11 + -37 - -6).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from uuuuuuuyuuuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-6)\/(-33)) + 0. Let y be ((-1)\/(-2) - 0)*0\/x. Suppose y*s = -s + 131. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3469 is divided by 1732?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31736592 divided by -8\nAnswer: -3967074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 4 + 14*t**2 + 5 to w + g*t + h*t**2 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44694 and 19260631?\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -100, -413, -900, -1555?\nAnswer: -2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1324 = 414. Suppose -60*t - 75*t**5 - 115*t + 52*t - 465*t**2 - f*t**4 - 67*t + 1105*t**3 + 80 = 0. Calculate t.\nAnswer: -8, -2\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 - 5*i - 10. Let d = -12 + 6. Let v be t(d). Let g = v - 14. Solve -g*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:42 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68.54343 + -4.\nAnswer: -72.54343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/6 in 1\/2, 5, 13, -585?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 882405304 to the nearest integer?\nAnswer: 29705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + 20 + 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(-2\/9))\/z))**(-1\/6)\/(z**(-2\/7))**(1\/17)*(z\/(z*z**(-1)\/z))\/z**(-6\/5)*(z**(-1)*z*z*z*z)**(-1\/72) assuming z is positive.\nAnswer: z**(391409\/128520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 7*r - 67 = 0, -8 = 1706*r - 1708*r for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -3\/8 (c) 4 (d) -17 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -733 (b) -11 (c) 169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, b: 3, y: 2}. What is prob of sequence kykk?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g + 13. Let r = -3 - -1. Let f(z) = -z + 1. Let o be f(r). Suppose k = -b + 4, 0 = -b + o*k + 12. Let q(l) = 4*l + 3. Give b*t(y) - 26*q(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c - 62*c - 40*c in the form v*c + y and give v.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3348 and 1532547?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5879185.\nAnswer: 5, 13, 151, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 15. Suppose -4*v = n + 1. Is 1044\/28 - v\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393294828?\nAnswer: 2, 23, 149, 101641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and -4692.\nAnswer: -121992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 254250 times 0.01\nAnswer: 2542.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1512 divided by -21\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c - 3. Suppose -4 + 10 = -3*z. What is the units digit of n(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 17 = 12. Sort b, 4, 0, 3 in ascending order.\nAnswer: 0, 3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1158\/7 + 165. Let c(f) = f**3 + 6*f**2 + 3*f + 16. Suppose 10*t + 60 = -0. Let k be c(t). Put d, k, -0.1, -3 in decreasing order.\nAnswer: -0.1, d, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104583455 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhyttnxx. What is prob of sequence txy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4 - 8*z**4 + 21*z - 6*z**2 + 12*z**4 + 7*z + 8 - 19*z**3 = 0. Calculate z.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + 85 - 85)*(3 - 1 + 0).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -61?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 6. Let b be v(3). Solve 4*d - 2*a + 6 = b, -3*d - 5*a + 1 = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -1 + (-710)\/(-852). Let k be 3632\/(-18) + (-3 - -1). Let g = 204 + k. Sort 1\/3, b, g in descending order.\nAnswer: b, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15342911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-33))\/(2\/(-9)). Suppose 0 = 7*y + 69*y. Put f, y, -5, -1 in descending order.\nAnswer: y, -1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 + -84. Factor 13*d**3 + s*d**3 - 24*d**2 - 23*d**3 - 36*d.\nAnswer: -4*d*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x. Let k be j(7). Let t = k + 62. Calculate the smallest common multiple of 36 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917957 is divided by 516.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from mmbbmmmmbmbbv?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j**2 + 883*j - 27665. Give f(58).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 + 73. What is the second smallest value in -0.2, v, -10, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(1428\/(-980)) + -21)*(-1 + 0\/(-2))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3183*m - 23. Is i(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 209225*f**2*w*x - 5*f**2*w + 9*w*x + 2*w - 3*x + 27542 wrt f?\nAnswer: 418450*f*w*x - 10*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13*r + 2. Let y(h) = 1617*h - 6467. Let p be y(4). Let s(f) = -f + 1. Calculate p*v(l) - 3*s(l).\nAnswer: -10*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 136041\nAnswer: -136040.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1140310\/11 - 103664. Let w be (-30)\/(-44) - 8\/16. Factor w*u**3 + 4\/11*u**2 - b*u + 0.\nAnswer: 2*u*(u - 1)*(u + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*p**5\/7 + 258*p**4\/7 - 318*p**3\/7 + 78*p**2\/7 + 36*p\/7 = 0. What is p?\nAnswer: -2\/9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7094, -0.2, 3, 4594 in decreasing order.\nAnswer: 7094, 4594, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(300))**2*-2.\nAnswer: -627 - 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1487, -2962, -4423, -5870?\n\"Answer: 7*i**2 - 1496*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0247 + 0.02486. What is j rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyee when four letters picked without replacement from eyexeeysaxee.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 72*h**3 + 141*h**2 - 6*h = 0.\nAnswer: -2, 0, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 302\/67, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 167*k - 1042. Calculate x(-90).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.73 - 3.27. Let v = -45 - -40.6. Let m = b - v. Put -10, 2\/13, m in decreasing order.\nAnswer: m, 2\/13, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by -4124.\nAnswer: -61\/2062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/116 and -79\/104?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 5:50 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (6\/3 + -2). Let u = v + -7. Sort -4, 4, u in descending order.\nAnswer: 4, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4888 and 4270864?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -66*t. Let p(q) = 3*q. Let x(b) = -b**3 - 11*b**2 - 6*b - 23. Let n be x(-10). Determine n*p(a) - 3*m(a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11277689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**3 + 1272*f**2 + 563421*f + 1121730 = 0.\nAnswer: -269, -2, 695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59657 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to -90216377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 3, 28.\nAnswer: -4, 1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20569*o**3 + 20577*o**3 - 66069*o**3 + 24920*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + u**4 + 2*u**5 + (-u**4 - 2*u**4 + 4*u**4)*(9 + 3*u - 9).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -10. Let o(f) = -19*f - 14. Let y(p) = p**3 + 8*p**2 - 10. Let w be y(-8). Let d be o(w). What is the greatest common divisor of d and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 6. Let i = f + 79. Suppose -5*w = 5*r - 105, w - i = -4*r + 4. What is the highest common divisor of 133 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 16*q**2 + 119*q - 81. Does 4 divide h(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 52*a - 56*a - 7 = 0, -x + 3 = -a. Solve -9*n - x = 26 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + 3 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 248.56446 + -249.26445948. Let c = w + 0.7. Round c to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 2*u**3 + 24 - u**3 - 44*u - 4*u**2 + 20*u**2.\nAnswer: 4*(u - 1)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7 - 2488*d + 5 + 2502*d + 2*d**2.\nAnswer: 2*(d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*o - 21. Let w be 664006\/(-8) + 6\/o. What is w rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12533*b**2*j*u - 1179*b**2*j - 3*b*j with respect to u.\nAnswer: 12533*b**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18742, 16972, 15204, 13438, 11674, 9912?\n\"Answer: b**2 - 1773*b + 20514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in days?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -20. Let v be (m - 0) + 17 + 0. Let d = v + -16. Sort -4, d, -3 in ascending order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/21, -0.2, -71383?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378584.\nAnswer: 2, 37, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 70*o - 67*o - h, 0 = 2*o + 4*h + 10. Which is the nearest to 2? (a) -0.1 (b) o (c) -7 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12 - 1066\/(-30). Let f = -35 + n. Sort 1, f, -4 in decreasing order.\nAnswer: 1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 - 124. Factor 0*i - 1\/5 + 1\/5*i**s.\nAnswer: (i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + y - 401 + 199 + 209.\nAnswer: 3*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -430844571 and -72.\nAnswer: -430844643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -46*n - 2. Let x(s) = 144*s + 7. Determine 21*q(p) + 6*x(p).\nAnswer: -102*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 12*g + 2. Let k be b(-6). Suppose -35 + 29 = -2*c. Sort -5, c, -7, k in ascending order.\nAnswer: -7, -5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + 55 + 42 + -2 + -2 + (1 - 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 12, -2*k - 25 = -3*g - 10. Let v be (-27)\/(-15) - (-1)\/5. Let h(c) = c**3 - c**2 + c - 2. What is the remainder when h(v) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19) + (sqrt(171) + 0 - sqrt(19)) + (sqrt(19) - (sqrt(19) + -5*(1 + sqrt(19))))) + -5*(1 + -2*sqrt(475)))**2.\nAnswer: 3600*sqrt(19) + 154300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0535 - -0.053196. What is y rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65276747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*x - 113*x = -102468 + 7620. What is the smallest common multiple of x and 90?\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(3\/10)\/((a**(-2\/17)*a)\/a))**(-31))**(-4\/5))**(-1\/11) assuming a is positive.\nAnswer: a**(-4402\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4382.9 less than 10426?\nAnswer: 14808.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 19*a - 28. Calculate f(6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4402)\/4970 - 3\/(-5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4940)\/(-1690) + 1\/13. Calculate the highest common divisor of 64 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570 = -26*z - z - 30*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 24 + 4 - 14)*(-2*x + 2 - 2)*(-x + x - 3*x).\nAnswer: -12*x**3 - 204*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-54))\/((-52)\/(-312))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*d**3 - 347*d**3 - 16*d**3 - 398*d**3.\nAnswer: -607*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.89 rounded to 1 dp?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2019528582, 2019528581, 2019528580?\nAnswer: 2019528579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:53 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) - -2*sqrt(264)*3)*2)\/(sqrt(60)\/(sqrt(10) - (sqrt(640)*3 + sqrt(10)))).\nAnswer: -672*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 3*q + 20 + 0 + q - 3*q + 2*q**2.\nAnswer: 2*q**2 - 5*q + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 79. Suppose -6 = 5*i - 16, -3*n = 11*i + 41. Give g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*q - 12 = 0, 3*u - 15 = 8*u + 5*q. Suppose u = -w - 2*w - 1275. Let k be w*3\/((-3)\/(-400)). Round k to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuwcc. What is prob of picking 1 w, 1 u, and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g - 27. Let n be b(-5). Let l(u) be the second derivative of 1\/20*u**5 - 1\/24*u**4 + 0*u**3 + 0*u**2 - n*u + 0 - 1\/60*u**6. Factor l(f).\nAnswer: -f**2*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.41 - 19.91. Let l = 20.13 - 20. What is the biggest value in l, -3, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*k - 11245 = -466*k + 13689 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(110) - (sqrt(110) + 1*sqrt(110)*-2)) + sqrt(110) + sqrt(110)))\/((2*2*sqrt(10) - sqrt(10))*-6).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**4 + 1129862*i + 619135 with respect to i.\nAnswer: 4*i**3 + 1129862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 - 1.11. Let o = j - -1.2. Let y = -4.8 + 0.8. Which is the third biggest value? (a) -0.2 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 divided by 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 7*h**2 - h - 5. Let o be b(-7). Suppose -3*r = o*r. Suppose -3*x - 2*a + 0*a + 35 = 0, r = 3*x + 3*a - 39. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) - (-6*sqrt(95)*1 - sqrt(95)))*-5)\/(-5*sqrt(20)\/(sqrt(16)\/(sqrt(4) + sqrt(12)\/sqrt(3)) - sqrt(4))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -109 - 126. Suppose -c - 33 = -o. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 1?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 56.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(512\/120))\/(-1*1\/4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i*i**(-5\/7))\/(i**2)**(17\/2) assuming i is positive.\nAnswer: i**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1.52\nAnswer: -3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-135) - (-21)\/45 - 456\/45.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 = -0*l. Let u be (21\/5)\/(l\/(-5)). Suppose -2*x = -2*d - 26, -5*x - 4*d = u - 68. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4 - 5*v**3\/3 + v**2 + 738. Let h(f) = -f**3 - f**2. Let l = 11 + -5. Calculate l*h(o) - u(o).\nAnswer: -2*o**3 - o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-60)*(-42)\/56)\/(-1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 528 divided by 53707\nAnswer: 528\/53707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*b**2 + 8*b**2 + 8*b**2)*(-2 + 4 + 6)*(-2*b - 1 + 1) to l*b + m*b**2 + x*b**3 + p and give x.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a. Let i(u) = -24*u. Suppose -34*h + 9 = -33*h. Suppose 8*x - h - 255 = 0. Let g be (-5 - (1 - 5))*4. Give g*i(j) + x*f(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217956377?\nAnswer: 217956377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1126.1 take away 0.08?\nAnswer: -1126.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 253\/(-132) + 2 + (0 - 0). Let b(l) be the second derivative of 1\/2*l**2 + d*l**3 + 0 - 1\/24*l**4 - 7*l. Factor b(m).\nAnswer: -(m - 2)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 36 = -4*i. Let w be 4\/((-8)\/(-6)) - -1. Suppose t - w*t = -75. Calculate the remainder when t is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*i**2 - 2*c*i - 4307*c + 229083*i**2 with respect to c.\nAnswer: 3*i**2 - 2*i - 4307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 32. Let a be l\/3 - (-8)\/2. Solve a + 7 = 5*n + 4*j, 0 = -2*n - 5*j - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -38, 279.9 in decreasing order.\nAnswer: 279.9, 5, 4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -551 + 546. Let g(i) = -i**2 - i + 10. What is g(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8254 * 0.05\nAnswer: 412.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*u**3 - 257*u**3 + 67*u**3 + 66*u**3 + 65*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 16.89767 nanograms?\nAnswer: 0.00000001689767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o + 5*z + 103, -2 = 14213*z - 14211*z for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 1, l: 2}. Give prob of picking 1 a and 2 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1924*c**2 - 673*c.\nAnswer: 3848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 3328.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1447887662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1687578, -1687580, -1687584, -1687590, -1687598?\n\"Answer: -b**2 + b - 1687578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 106747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, 4\/49, -3\/7, 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + k**2 + 2*k**2 + k - 7 + 2*k**2. Calculate f(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*q - 10, -3*p + 3*q - 4 = -10. Suppose p*a + 27 = 5*g, -2*a - 17 = -11*g + 8*g. Solve -2*d - 5*b + 13 = -12, -g*d - 2*b = -31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 593151 and 3484.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1853, -4262, -7227, -10748, -14825, -19458?\nAnswer: -24647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*t + 26*t - 202902. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-8)*8\/(-12). Let l = -3 + 4. Which is the nearest to l? (a) 2 (b) -4\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = 10, 3*y + 75 = c. Let t = c + -42. Suppose 7*h - 145 = 107. Calculate the highest common divisor of h and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 - 18 - 33)*((-f + 0*f - f)*(-f + 2*f + f) + f**2 + 0*f**2 - 2*f**2) as j*f + i + v*f**2 and give v.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -987 (base 16) to base 5.\nAnswer: -34224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - -7) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71544 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -5 (c) -2 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33906213031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-99)\/12))\/(77\/(1386\/(-12)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5578 - 1788. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17623*n**2*q**3 - n**2*q - 23*n*q**4 - q**3 + 386*q**2 - 191 wrt q.\nAnswer: -105738*n**2 - 552*n*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -124, -414, -976, -1900?\n\"Answer: -15*r**3 - r**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.1 + 19. Let d = 0.1 + p. What is the nearest to -0.2 in 1\/8, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.851937g to tonnes.\nAnswer: 0.000007851937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.001 - 28.001. Let d = 597.2037102 - 625.20371. Let l = x - d. What is l rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:18 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*h - 18 = 134*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.51 times -3.414\nAnswer: -1.74114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + 64. Suppose 0 = 4*k - q + 67 - 957, 2*k - 452 = 4*q. Let h = k - s. List the prime factors of h.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11849.73 centuries in years?\nAnswer: 1184973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.6707735 to three decimal places.\nAnswer: 7.671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j - 11. Let f be g(0). Let i = f - -16. Suppose -4*c = w - 4*w, i*c = -3*w. Solve -2*b + 8 = -3*o, 0 = 4*b + 4*o - w*o + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -5*u + 25, 4*x - 35*u + 4 = -31*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 127. Let c be (g\/(-16))\/((-3)\/(-5)). Find n such that 8*n + c*n**2 - 5*n**4 - 20*n + 14*n - 2*n**3 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7807 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3 - 966*j**2 - 18074*j + 19038 = 0.\nAnswer: -19, 1, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -7*l + 29, -8*l - 6*l - 9*l = -37*l + 10*l + 16*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from vrggr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(2*i - i - 3*i)*(4 - 3 + 2)*(-6 + i + 6).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10688778.\nAnswer: 2, 3, 67, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*n**3*v - 1555*g*n**2*v**3 - 2*g*n**2 - 28925*g*v + 1669*n**3*v**3 + 4*n**3*v - 11*v wrt v.\nAnswer: -9330*g*n**2*v + 10014*n**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -40*f - 1361. Let u be c(-34). Let o = -2 - -2.1. What is the nearest to 0.6 in 1, u, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 21. Let m(i) = 6*i**2 - 4*i. Let o(s) = 7*s**2 - 5*s. Let f be (5 - (0 + 1))*1. Determine f*o(q) + t*m(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43721070*0.4.\nAnswer: -17488428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {u: 1, t: 1, r: 4, a: 5, v: 1}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 37*t - t. List the prime factors of (-20020)\/26*(t\/4)\/1.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1048 + -731. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-11\/4)\/c*c*c**(-8)*(c**0)**(4\/7) assuming c is positive.\nAnswer: c**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-90))\/(((-66)\/(-195))\/11).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3332, -3328, -3322, -3314, -3304, -3292?\nAnswer: -3278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63 - 63 - 11*n + 3*n - 2*n + 9*n + (5*n + 2*n - 5*n)*(2 - 1 + 1).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 15933 and 0.009 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -8. Let w be 4*21\/(-112)*(-23 + -1). Is 16 a factor of 12 + w + (1 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1309, -1298, -1287?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 + 2*u + 7. Let c(l) = 8*l**2 - 7*l - 21. Let y(n) = 4*c(n) + 11*s(n). What is y(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17304*o**5 - o**4 - 28*o**2 + 38*o - 42030 wrt o.\nAnswer: 346080*o**3 - 12*o**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -12. Suppose -i + 5*i = 64. What are the prime factors of 23\/4 - o\/i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50924424?\nAnswer: 2, 3, 457, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-25)*u*u\/u**(1\/15))\/(u\/(u*u**(-28))*u**16) assuming u is positive.\nAnswer: u**(-1006\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 144878\nAnswer: -1\/72439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3502*n**2. Let x(j) = 5*j. What is a(x(p))?\nAnswer: -87550*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -b + 7 + 36, 5*b - 171 = 2*c. Let y be ((-19)\/7)\/(1\/5*(-4580)\/12824). Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**3 + 10*z**2 - 31*z + 71. Is r(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3616c2a - -5?\nAnswer: 3616c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -787, -1445, -2103?\n\"Answer: -658*t - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 7}. Give prob of sequence xx.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7256159.649 to the nearest 1000.\nAnswer: -7256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - 5 + 5 - b**3 + 4*b**3 - 4*b**3 + (17 - 9*b - 17)*(5*b**2 - b**2 - b**2) to n + i*b + k*b**3 + d*b**2 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rveerhw. What is prob of picking 1 e and 1 r?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37 and 0.169.\nAnswer: 37.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-2\/3))**(-3\/8)*(q*q**(-3)*q)**(7\/3) assuming q is positive.\nAnswer: q**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*f + 6140 = 0, 6135 = 2*a + 169*f - 166*f. Does 2\/5 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 1\/30*c**5 + 5\/3*c**3 + 0*c + 10*c**2 + 0 - c**4. Is d(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s**(5\/4))\/s))\/(s*s\/(s**(-2\/3)*s*s)))\/(s*s\/((s*s\/(s\/s**(1\/4)))\/s*s*s)*s*s**(-1)) assuming s is positive.\nAnswer: s**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 583*z**2. Let x(l) = -17925*l. Calculate x(p(w)).\nAnswer: -10450275*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13*k - 97. Let s be f(-7). Let h(i) = 16*i**2 + i - 11. Let g(n) = -18*n**2 - n + 13. Let z(w) = s*h(w) - 5*g(w). Give z(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:49 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/4 - 8*j**3\/3 - 3*j**2 + j + 51. Determine m(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -593 (b) -1 (c) 0.2 (d) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 183997558 + 1663\nAnswer: 183999221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 179 divided by -6\nAnswer: -179\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/96361 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(1 + (-28)\/34). Let a = -15 + t. Suppose 3*q + 2*u - 1 = 6*q, -a*q = -3*u + 9. Solve 6 = q*v - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 301.1 - 318. Let o = 14.4 + u. Which is the biggest value? (a) 3\/4 (b) 1 (c) o (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1408\/(-4704) + 3 + -6 + (-69)\/(-21)\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -4*q. Suppose -3*b + 7*b + 2*r - 16 = 0, -3*r = -2*b + 24. Suppose b*p - 3*p - 369 = q*w, 3*p - 4*w - 375 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171.82486 - -72.\nAnswer: -99.82486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114 + 572\/5. Find v, given that 8\/5*v**3 - y - 6\/5*v + 0*v**2 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*3)\/(3\/(-16 + 13))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-61)\/(6344\/(-78)))\/((-5)\/(20\/21)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 + 11 = 0. Suppose c = 4*s - 27. What is the greatest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 91*p + 178.\nAnswer: (p + 2)*(p + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434757 + 1202667 - 13*t + 2*t.\nAnswer: -11*t + 1637424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(304) + -4 - sqrt(304))*-6 - ((sqrt(304) + 1 + 2*sqrt(304) - sqrt(304)) + -2))**2*6.\nAnswer: -2400*sqrt(19) + 11046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -10*l + 8*l. Solve -4*a + 9*a - l = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-9))\/((g*g*g**(3\/2)*g*g)\/g*g))\/((g\/(g\/(g**8*g)*g))\/g**(-1\/6)) assuming g is positive.\nAnswer: g**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Let b(x) = 50 - 77 - 9*x + x**2 + 44. Let q be b(7). Solve 0 = q*l + c - 11, l + c - 7 = -t*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -157296, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -2*h + 294, -3*h + 254 = -h - 2*y. Let w = -3 + 7. Calculate the least common multiple of w and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 26. Which is the smallest value? (a) -4 (b) m (c) -5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 2 - 3*b + 0*b + 16 to the form f*b + a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 1. Let h(s) = -2*s**2 - 6*s - 6. Let g(j) = -12*c(j) + h(j). Let r(q) = 5*q**2 - 13*q - 13. What is 13*g(f) + 6*r(f)?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from vcsvpvjsrcccvcs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/3315 and 39\/1285.\nAnswer: 851955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r. Let f(n) = 4*n**2 - 6*n - 1. Let p(t) = 5*b(t) - f(t). Suppose 7*c + 8 = 3*c. What is p(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4 + 8*c + c + 9. Let w(j) = j. Let k(v) = -p(v) + 6*w(v). Is 7 a factor of k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, -1027, -4284, -10827, -21748, -38139, -61092, -91699?\nAnswer: -131052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 + f. Let o(l) = 7*l**3 - 5*l**2 + 5*l. Suppose -w - 16 = 3*y, -5*w - 20 = 14*y - 11*y. Give y*p(j) + o(j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(567))*-1)**2 - (4 + sqrt(28)\/(sqrt(16) + (sqrt(16) - sqrt(400))) + 0)**2.\nAnswer: 3460*sqrt(7)\/3 + 335225\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2331081767 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24718 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/12*3\/(-10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2154 = 241*b + 497 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -22\/5, -0.2, -0.46, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 756845 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/11 - 47*s**3\/11 + 762*s**2\/11 - 4676*s\/11 + 6664\/11 = 0. Calculate s.\nAnswer: 2, 14, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-1309)*35*-14*(-8)\/(-160)*-4\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 10}. What is prob of sequence ro?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 73, 58 in ascending order.\nAnswer: 0, 4, 58, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, f: 1, i: 1, j: 11}. What is prob of sequence ijjj?\nAnswer: 33\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o + 3*o - 1)*(3*o**3 + 0*o**3 + 0*o**3).\nAnswer: 3*o**4 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/16*(-3)\/5. Suppose -17 = q + 22*s - 26*s, 5*s = 4*q + 13. Which is the fourth biggest value? (a) u (b) 0.05 (c) -3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725285 divided by -1?\nAnswer: -1725285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -127, -240, -373, -532, -723, -952, -1225?\nAnswer: -1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b\/b**(9\/4))\/b)\/b)\/b*b**(-3))**(-15) assuming b is positive.\nAnswer: b**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 48. Let z be y(-4). Let r be (-6 + 136\/20)\/(3\/z). Solve -5*k + 2*i + r = 0, 6*i = 5*k + 2*i - 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4067 and 146993.\nAnswer: 1028951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.946794ng in tonnes?\nAnswer: 0.000000000000000946794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from yaybamfr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 8) to base 14.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g. Let j(v) be the first derivative of 55*v**2 - 6*v - 2584. Determine n(j(k)).\nAnswer: 440*k - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -781*y**2 + 71. Let b(j) = -65*j**2 + 6. What is 71*b(w) - 6*i(w)?\nAnswer: 71*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.08 and 6.5?\nAnswer: -65.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 1. Let a(u) = -34*u - 6. Calculate a(y) + 5*s(y).\nAnswer: -39*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 602232083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/17764890 and 49\/1300.\nAnswer: 177648900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3670 - 3622. Let k(l) = l**2 + 10*l + 11. Calculate the remainder when c is divided by k(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39641538?\nAnswer: 2, 3, 6606923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-2695)\/506)*7 - 2\/10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-4 + -38 - -39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 10 = -5*x + 5*v, -17 = -4*x - v. What is the second derivative of c + 0*c**x + 4*c + 0*c - 2*c**3 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 367. Let l be v(0). Let k = l + -243. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.943 - -0.057. Let l = 2 - 1. Is w >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 5*i**2 + 6*i + 6. Let b be s(-6). Let d(t) = -t**2 + 5*t + 1. Calculate d(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*9)\/(9*(-8)\/240))\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 375 (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 42651.3.\nAnswer: 255907.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - 61. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - d)*(2815*d + 2809*d - 5620*d + 2144 - 818) as k*d**2 + c + a*d and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = r + 5*x + 3, 0 = r - 4*x - 35. Let b be 330 + (-2 - (-2 + 33)). Calculate the highest common divisor of r and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 - 2*y**5 + 3*y**5 + (-2*y + 3*y + 2*y)*(-348*y**4 + 4439*y - 4439*y).\nAnswer: -1042*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 7518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 + -163. Suppose 0 = d + 2*m - 2, -d + 1 = -5*m - 1. Is k*((-295)\/d + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/w**1)\/w)**(-28)*w*w**0*w*w**2*w)\/(w**4\/w**(1\/2)*w**(-1)\/w**(4\/5)) assuming w is positive.\nAnswer: w**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(0 - 3 + 1)*(-2*h - 33*h + 11*h).\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 111187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126952, -253911, -380878, -507859, -634860, -761887, -888946, -1016043?\nAnswer: -1143184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1629, 3, 9, 5, 7.\nAnswer: -1629, 3, 5, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 + 8*k - 7. Let f be t(7). Suppose 4*m - 24 - 124 = f. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/2*(-13)\/(-26))\/((-72)\/(-48))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037869625?\nAnswer: 5, 13, 638689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 2 + 2)*(-14 - 13 + 0)*((-3 - 4 + 5)*(-2 - 1 + 2) - 2 + 1 + 3 + 0 + 5 - 2).\nAnswer: -189*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 + 13*o**3 + 39*o**2 - 252*o - 19*o**2 - 13*o**2 - 10*o**2 as l*o**2 + n*o + i*o**3 + y and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3 + 2 + 2*p + 4*p**2 + p**2. Let c be u(-3). Calculate the greatest common divisor of 190 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzzzbddbbz. Give prob of sequence bdbz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + sqrt(500) + (sqrt(500) - sqrt(500)*2) + sqrt(500) - sqrt(5)) + sqrt(5) - (sqrt(5) + 1)*-4) + -5)**2.\nAnswer: -30*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 4*k**2 + 23 - 4*k**2 - 21.\nAnswer: -13*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -111222 (base 3) in base 9?\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 117*m - 17. Let k be b(1). Suppose 2*g - k = -2*g. Are g and 31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 74, 444 in decreasing order.\nAnswer: 444, 74, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.078 + -3.078. What is the third biggest value in -2, -1\/8, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22920)\/(-498) + 140\/(-5810)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u - 111 + 21*u + 17*u - 119 + 345 - 115.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 7*w + 5*w + 1684, 3*z + w = 1688. Suppose 5*j + 2840 = 5*q, -z = -q + 7*j - 10*j. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 16*c**2 - 20*c - 2. Let n be 418\/(-33) - 8\/6. What is the tens digit of u(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -915?\nAnswer: -911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 37 = 2*m + 21, -5*m - 4*c + 28 = 0. Solve -j + 3*i = 4*j - 6, 8 = -5*j - m*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21193 or -21192?\nAnswer: -21193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817965.\nAnswer: 3, 5, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 395 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -5, -3, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 722, 3291, 7546, 13487?\nAnswer: 21114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1496682902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19025, 38052, 57079, 76106, 95133, 114160?\n\"Answer: 19027*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -153 (b) 5 (c) -3.967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:10 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-5 + 11 + -20 - 0) - -4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.49 + -3524?\nAnswer: -3535.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + -18 + (24 - 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20))\/(72\/30).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 52*c**2 + 6*c - 111. Let f(x) = 18*x**2 + 2*x - 39. Let g(y) = 17*f(y) - 6*m(y). Let q = 13 + -12. Determine g(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) -5\/7 (c) 9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8236860469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.322 decades to months.\nAnswer: 6398.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -594*c*m*w**3 + c*w**2 - 3*m*w**3 + 98*m*w**2 wrt c.\nAnswer: -594*m*w**3 + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 18*b**5\/5 - 36*b + 1. What is the derivative of n(c) wrt c?\nAnswer: 72*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.2 (c) -5 (d) 12 (e) 92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -2474, 4, 0.1, -9\/49?\nAnswer: -9\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2689 is divided by 73?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113102386 - -60121386. What is b rounded to the nearest one hundred thousand?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370160 and 10.\nAnswer: 370160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -48. Calculate the least common multiple of 1 and (f\/(3\/9))\/(6\/20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23976871.\nAnswer: 179, 133949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52990 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**2 - 2*w - 182. Let a(o) = -o**2 + 7*o - 3. Let d be a(5). Let l = 10 - d. What is i(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = -0. Let r be 0*(0 - 2\/b). Let c be (21\/7 - (-46)\/(-14))*2. What is the nearest to -2 in c, 0.4, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 7018639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 3*m**2 + 2*m - 78. Determine b(0).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 + 13*k - 8. Give d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 379*y + 735. Give m(-13).\nAnswer: -4192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36826 (base 12) to base 8.\nAnswer: 220036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 2. Let o be v(-2). Is (-975)\/(-10) - 2\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -1533 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/67238451 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k + 4. Let n be 2\/((-4)\/(-6)*3). Let q = n - k. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 75*c - 44*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n + 49*n - 2*v = -518, 3*v - 125 + 316 = -4*n for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 9) to base 7.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, d: 5, o: 5}. Give prob of sequence ddzd.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:30 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 287597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1817, -1 in decreasing order.\nAnswer: 1817, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -33406288 divided by 5?\nAnswer: -33406288\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - z - 23. Let q be g(-3). Sort q, -236, -3 in ascending order.\nAnswer: -236, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17863.438 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - (-1 - -1)) + (-5 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062243449 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 517807.3 kilometers in centimeters?\nAnswer: 51780730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -12*z**4\/5 + 1600*z**3 + 142492*z**2\/5 - 30096*z = 0.\nAnswer: -55\/3, 0, 1, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25382, 101619, 228672, 406535, 635202?\nAnswer: 914667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.24269 to the nearest integer.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxkvpylxyy. Give prob of picking 1 p and 1 v.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:16 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0 + 0)*(-1 + 1 - m)*(16*m**2 + 345 - 345) to the form p + w*m**3 + t*m**4 + k*m**2 + z*m and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*q**5 - 15*q**4 - q**3 + 23566*q**2 wrt q?\nAnswer: -1020*q**2 - 360*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899574401?\nAnswer: 3, 633191467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 15*v - 10*v. What is the remainder when 45 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) 1\/3 (b) 1\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 0.4, 292, 1\/4, 1\/2 in increasing order.\nAnswer: -1.5, 1\/4, 0.4, 1\/2, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138\/9*6 + (-12 - -16) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12755 = q, 3*u + 5*q = 4*q + 19134. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215346 + 310786. Let l = j - 1440. Round l to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4875546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = w + 14*j, -138*w + 144*w + 2*j = -40 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 4:39 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 4*g - 10. Let y be r(9). Let t be (-7)\/y - (-58)\/(-10). Let u(m) = m**3 + 7*m**2 + 7*m + 6. Let b be u(t). Solve b*j - 2 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*sqrt(297)*1)\/(sqrt(11) - -6*sqrt(11)*2) + 4.\nAnswer: 4 + 54*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adwblxx. What is prob of picking 1 l, 2 x, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j + 1. Let i(y) = 119*y**2 - 228*y**2 + 112*y**2. Calculate i(f(s)).\nAnswer: 147*s**2 - 42*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -35 and -34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25 from 6.83.\nAnswer: -18.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -3 + 6*t - 1\/4*t**4 - 3\/2*t**2 - 2*t**3. Let y be q(-5). Which is smaller: -5 or y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 195 = 3*s - 0*f, -260 = -4*s + 4*f. Suppose -3*r + i + s = 0, 35 = 2*r - 0*r + i. What is the lowest common multiple of r and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2\/129 (b) -0.3 (c) 5 (d) -3\/11 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7324166ml in litres?\nAnswer: 0.0007324166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.816 + 51.816. Which is smaller: -2\/127 or c?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -30\/203?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3456 and 365929056.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 + -5 - -7) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(((-54)\/80)\/9). Let q = -21 + i. Let s = 59 - 3. What is the remainder when s is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5 + 576*j**4 - 7046*j**3 + 5892*j**2 + 7045*j - 6468 = 0.\nAnswer: -588, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -2 (b) -3.27 (c) 1\/2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n**3 + 3*n**3 + 8*n**3)*(0 - 1 + 2) to q*n**3 + w + i*n + u*n**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.19 + -131.81. Let v = -133.3 - p. Which is the fourth smallest value? (a) 0 (b) 5 (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 18*b - 23*b. Suppose -3*x + x + 100 = 0. Calculate the remainder when x is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1677*i**2 - 374*i**2 + 1356*i**2 in the form j*i + y + v*i**2 and give v.\nAnswer: 2659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 197932 divided by 7\nAnswer: 28276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*k*n**3*u + 21*k*n**2*u**4 - k*n**2 - 4*k*u**2 - 4*n**3*u**2 + 11*n**3*u wrt u?\nAnswer: 252*k*n**2*u**2 - 8*k - 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((-2*sqrt(77))\/sqrt(11)) + (-3*sqrt(125) + 4)**2.\nAnswer: -241*sqrt(5)\/2 + 1141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 207 + 132 = 0. Suppose 0 = -2*z + z + k. Let g = 432 - z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1133*g + 22591*g**2 + 22596*g**2 - 45189*g**2 as p*g + t + f*g**2 and give p.\nAnswer: -1133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnx when three letters picked without replacement from {h: 1, f: 1, n: 2, x: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-528228)\/(-180) + (-6)\/10. Suppose -y - r = -4*j, 0 = 5*j - 9*j + 5*y + 2942. List the prime factors of j.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21021000 (base 3) in base 9?\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3228, 11616, 25162, 43866?\n\"Answer: 2579*l**2 + 651*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61270 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 19 = -4*p + 50, 5*h = 5*p - 30. Let c(f) = 4*f**2 + 4*f + 4. Let d be c(-6). Let m = d + -25. What is the greatest common divisor of m and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 1. Let o be (-136)\/(-10)*((-46)\/(-4) - 4). Let x be (2\/(-3))\/((-17)\/o). What is n(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12936759 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 5*r - 5*r + r**2 + 3. Let b be m(-9). What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 28?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**4\/4 - f**3 + f**2\/2 - 2*f + 1. Calculate the remainder when 38 is divided by q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + 2 + -4 - (-139 + 63 + 85)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 706\/1631 + -1\/233. What is the third biggest value in 16, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -670*y**3 + 29144*y**2.\nAnswer: -4020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 18 = 5*j, -3*j = j - 5*t - 28. Suppose 2*a = -4*h - 2, -4*a - 14 = -0*h + 3*h. Let l = a + 12. What is the lowest common multiple of l and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 1132 in descending order.\nAnswer: 1132, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118185*d**3 - 118165*d**3 - 118183*d**3 + 4*d + 354534*d**3 - 4*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*p - 2*o + 1, -13 = 4*p + 5*o. Let g be (-100)\/(-17) + 2\/17. Let z(c) = c**p + 6*c**2 - 7 + 8 - g*c**2. Determine z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -7788?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1717*-355951.\nAnswer: -611167867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 370551.4 decades in months?\nAnswer: 44466168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1097207202.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*f - 161*f - 26*f = -8*f - 23780 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -820*g + 332 wrt g?\nAnswer: -820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8437329 to the power of 1\/2, to the nearest integer?\nAnswer: 2905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {k: 5, y: 2, r: 3, a: 2, h: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 608 - 618.94. Let x = l + 11. Put 1\/6, -5\/3, x in ascending order.\nAnswer: -5\/3, x, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 439186513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = l, 11 - 2 = -5*l + 3*r. Solve -3*g - 1 = 2, 5*c + 2*g - 3 = l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Let r(f) = 14 + 29 + 9*f - 74 + 17 + 12. Give r(n) - 6*z(n).\nAnswer: 15*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141425128?\nAnswer: 2, 13, 1359857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29829*0.83\nAnswer: -24758.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6429200 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 350 - 344. Solve -i = -3*k, 7*y - 3*y - k = 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-30)\/8)\/((-885)\/2114088)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let c(d) = -3*d + 4. Let u be ((-24)\/(-28))\/((-9)\/(-63)). Suppose 3*y - 2*k = k - 18, u = y + 5*k. Calculate y*i(q) - c(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17146 - 10062. What are the prime factors of p?\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-56) + (-10)\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 120? (a) 1.7 (b) -10 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 8. Let d be w(-1). Let k be 2\/10*(d - 2). What are the prime factors of -178*-3*k\/6?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22199 is divided by 226.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 6. Let m be j(-8). Let a be (12\/8 + m)*-4. Suppose 2*u = a*v - 7*v + 58, -3*v - 3*u + 42 = 0. What is the greatest common factor of 110 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 5*v + 6. Let c be q(3). Suppose 2*o + 6 - c = 0. Factor 12\/5*f**o + 54\/5*f**2 + 33\/5*f + 6\/5 - 24\/5*f**4.\nAnswer: -3*(f - 2)*(2*f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d*(d\/(d**2\/d))\/d)))\/d)\/d**(-31) assuming d is positive.\nAnswer: d**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + 45. Let j = 58 - v. Let l = j - -222. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(325) + -2*sqrt(325))*-5 - (1 + sqrt(325) + 4 + sqrt(325)))**2 + -1*((sqrt(325) - (-3 + sqrt(325)))**2 + -5)).\nAnswer: -150*sqrt(13) + 2946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 42. Calculate the least common multiple of h(12) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-479\nAnswer: -335.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -8. Let b = 9 + -7. Sort v, -0.4, b in decreasing order.\nAnswer: b, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/(-35))\/((-9)\/(-3)). What is the third smallest value in j, -5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3185024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/(-9) + (16\/12 - 1). Suppose 4 + 2 = i*r. Is (-2 + r)*(-93)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489679?\nAnswer: 489679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874*t**3 - 1430*t + 2717*t - 1287*t.\nAnswer: -874*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 14, j: 5}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 48 - 84. Calculate the smallest common multiple of 8\/a + (-844)\/(-44) and (-2)\/2 - 7\/(-1).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 4*w**6\/15 + 3*w**2 + 8*w + 7. Let l(r) be the first derivative of c(r). What is the derivative of l(g) wrt g?\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44319.\nAnswer: 3, 11, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 - (-25 - -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 440283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -2)\/(18\/6). Let d(z) be the third derivative of 0 + 0*z**5 + 0*z**4 + 2*z**2 - 1\/40*z**6 + u*z - 1\/3*z**3. Differentiate d(j) wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from tmmwtieimiimmedwwmti?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 2*g - 7. Let w be n(0). Let s(z) = -5*z - 12. Is 23 a factor of s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 151002*d - 4 - 151004*d - 6.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169743493?\nAnswer: 2417, 70229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:52 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-3165)\/10*-10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(3\/7)*v*v)*v**(-2\/7)\/v*v**(-7)\/(v\/(v**(3\/7)*v*v)) assuming v is positive.\nAnswer: v**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkk when three letters picked without replacement from tkkkkttokkoktokkkooo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 7:36 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*g**2 - 125*g**2 + 48*g**2 - 53 + 53.\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 277155 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -47*u + 190. Let v be q(4). Solve 3*r - v*i + 9 = i, 2*i = 3*r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxxoxxo. What is prob of picking 3 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2708 - 2685 = -5*r, -z = 4*r + 20 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q*r**2 + 823*q - 118169*r**3 - 41 wrt r.\nAnswer: 2*q*r - 354507*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2c75c5 (base 13) to base 6\nAnswer: -35340251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3 + 7. Suppose -160 = 4*o - 12*o. Suppose 0*m = 4*m + o, z*f - 68 = 4*m. Calculate the lowest common multiple of f and 22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2736) + (sqrt(152)*-1)\/sqrt(8) + ((1*-1*sqrt(171))\/(sqrt(9) - (sqrt(729) + sqrt(729)*1)))**2.\nAnswer: 308\/289 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 18. Let c(b) = 1 - 4 - 3*b + 2 - b + b**k + b**2. Let w be 5 - (-38)\/(-4) - (-3)\/2. Give c(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -14. What is w in -8\/5*w - 8\/5 - 2\/5*w**y = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 14. Let w be c(-8). Let k(y) = -7*y**w + 9*y**3 + y**2 + 24 + 6*y**2. Let h(a) = 2*a**3 + 5. Give -24*h(p) + 5*k(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -465063?\nAnswer: -465060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62020, 62019, 62018, 62017, 62016, 62015?\n\"Answer: -n + 62021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8b0 - 3?\nAnswer: -8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 40. Solve r = -2*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**10)**24)**1 assuming w is positive.\nAnswer: w**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 22*o**2 - 3*o**4 - 20*o**2 + 2*o + 9 to k + g*o**2 + v*o + w*o**3 + r*o**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(50*k + 0*k + 12*k) - 12*k - 26*k - 7*k.\nAnswer: -107*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.27 and 0.07544 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7a8 (base 12) to base 13\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 378\/463291?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 + 5*f**2 + 13*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 - -103 - ((1 - -2) + 12) - (8 + -8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 15*w + 34. Determine g(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**5 - 31*h**4 + 15*h**3 - h**2 - 1328*h - 1.\nAnswer: 240*h**2 - 744*h + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccnn when four letters picked without replacement from {c: 7, n: 10}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r = 15, -5*r + 70 = 5*v. Let b(w) = -3*w - 6*w - 5*w + v*w. Let j(m) = -80*m**2. Determine b(j(c)).\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -12*k**2 + 127*k - 302. What is q(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {v: 5, c: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35604 by -17802.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44 (b) 84117 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2767769483 to the power of 1\/2, to the nearest integer?\nAnswer: 52610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -555 + 551.57. Let f = 0.57 - a. Let b be (2\/(-8))\/(2\/4). What is the biggest value in f, 0.3, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*l**3 + 8*l**2 + 340*l + 3.\nAnswer: 402*l + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74051*l + 17181 = 74074*l. Calculate the remainder when l is divided by 162.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 0.1227 (c) -1\/26 (d) 1 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t**2 + 3*t + 12. Let v(u) = -7*u**2 - 2*u - 12. Let g(x) = 4*n(x) + 5*v(x). Give g(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in 0.2, -2, -0.08, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*q - 16905 - 11241 + 6400 = 4*q for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -595 - -296. Let p = q - -295. Sort p, 2, 0, 4 in decreasing order.\nAnswer: 4, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 28*v**2 - 27*v - 17. Calculate l(27).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242 = 2*v - 4364. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 430 + 601 + 61 + 140*m**2 + 3*m wrt m?\nAnswer: 280*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-26)\/w)\/(w*w*w**11))\/(w*w**(-4))**24 assuming w is positive.\nAnswer: w**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s - s)*(-13 + 28 - 8)*(-s**3 + s**3 - s**3).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -3 (c) 5 (d) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3816137 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - 4.4. What is the biggest value in -1.2, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1718 - 1722. Is 25 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/35)\/((-6)\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(6) - sqrt(54)))\/((sqrt(12)*-2)\/sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0 + 1\/75*n**6 + 1\/15*n**3 - 7*n - 1\/50*n**5 - 1\/30*n**4 + 0*n**2. Find x such that a(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3738971409?\nAnswer: 3, 97, 743, 17293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + z + 4. Let w(b) be the third derivative of b**5\/10 - b**4\/8 - 11*b**3\/6 + 8*b**2. Give -8*j(n) - 3*w(n).\nAnswer: -2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0105 plus 28.235?\nAnswer: 28.2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13826 - 13797. Which is the nearest to 0? (a) g (b) 0.15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -6, -5, -2, 4 in descending order.\nAnswer: 4, -2\/7, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, -1, 2, 1, 18 in decreasing order.\nAnswer: 18, 5, 2, 1, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 5. Let y be w(3). Solve -y*c + 37 - 14 = -5*d, -4*c = -3*d - 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29937427513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -240787 and -3130216\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(75) + -5)**2.\nAnswer: -20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + bc23e?\nAnswer: bc22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 815653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.9 - 4.5. Let b = -37.6 - i. Let o = b - -37.00057. Round o to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -379 + 1038. Let h = -658.7 + i. Let x = -1.6 - -2.3. What is the third biggest value in x, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 3\/((-450)\/505). Let a = r + 2\/15. What is the nearest to a in -0.3, -2\/13, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*t = -6*n + 9, 0 = -3*t - 9. Let h = 16 - 33\/2. Which is the third biggest value? (a) n (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 6*u + 8*u + 353 - 2*u**4 - 355 in the form s + o*u**4 + x*u + t*u**3 + h*u**2 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321635797 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -13, -12044 in descending order.\nAnswer: -2, -3, -13, -12044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 984750 and 1446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 16\/(-9)*-3)*3. Put 3, x, -20 in increasing order.\nAnswer: -20, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.510801618 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5\/2 - 455*x**4\/2 + 885*x**3 - 1315*x**2 + 1745*x\/2 - 435\/2 = 0. What is x?\nAnswer: 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23610 and 54.\nAnswer: 212490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4610 - -42?\nAnswer: 4652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1529051 millimeters?\nAnswer: 152.9051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/20 - k**4\/3 + k**3\/3 - 3*k**2 + k. Let c be i(4). Is (-159)\/(-2) - c\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -7*r + 9*r + p, 5*p = -3*r + 23. Solve -x = -r*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2040 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4bd (base 15) in base 16?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*b + 25 - 13 = 0, -5*b = -4*l + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2253*g**2 - 429*g + 284*g - 552*g wrt g.\nAnswer: -4506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4723, 9448, 14187, 18946, 23731, 28548, 33403?\n\"Answer: g**3 + g**2 + 4715*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 - -16.842\nAnswer: 41.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 8 = -7*b, 0 = 5*t + 4*b + 17. Sort t, -3, -1, -18 in descending order.\nAnswer: -1, -3, t, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2416*j**5 + j**2 + 2433*j - 2.\nAnswer: -144960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000706775 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e + 248?\nAnswer: 20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 58. Let h(p) = p**3 + 5*p**2 + 4*p + 4. Let l be h(-5). Let f = l + d. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 5*b**2 - 10*b + 12. What is a(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j**3 + j**3 - 10*j**3)*(-2*j + 4*j - j) to i*j**2 + x*j**4 + m*j**3 + r + g*j and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4030988200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**2 + 452190*w + 66363885 = 0.\nAnswer: -90291, -147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8778 + 11269. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3 times 3708?\nAnswer: -19652.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from ipjijjppjrji.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -51. Suppose 5*b + 106 = 371. Let n = -31 + b. Calculate the greatest common factor of n and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Suppose 0 = 2*w + 8 - 0. Let b be g(w). Suppose 0*r + 2*y = -r + 10, 0 = b*y - 16. Calculate the lowest common multiple of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18455 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 856*n - 24428. What is q(30)?\nAnswer: 2152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -332 - -333. Solve 0 = 2*v - n - j, -n = 3*v - 3 - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(96)*-5)\/(sqrt(432)*3) + -5.\nAnswer: -5 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 775091 or -1\/276?\nAnswer: 775091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/5 - (-9)\/15. Differentiate 0*y**3 - 7*y**4 + 3 + c*y**3 + 5*y**4 with respect to y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 561\/49 - 36257\/2940. Find the common denominator of m and 41\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177*-29.31.\nAnswer: -5187.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-264)\/32 + 6\/(-8). What is the remainder when (-21)\/c + -2 + 11\/3 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, 5, -7 in ascending order.\nAnswer: -12, -7, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 23*h + 0*h + 3.\nAnswer: 23*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(2137 + 2052 - 4086 - 2*n).\nAnswer: 2*n - 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52\/2 + 30\/(-15). Let b(l) = 2*l - 39. Let h be b(27). Let f = h + t. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/6*65\/120*3*36\/78\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -2*p**6\/15 + 22*p**5\/75 + 43*p**4\/30 + 68*p**3\/45 + 8*p**2\/15 + 76. Let q(c) = 0. Calculate c.\nAnswer: -1, -2\/3, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 9. What is the units digit of 2\/(2 - z\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 3 (b) 12 (c) 0.06 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 9. Let o(c) = 5*c**2 - 8*c - 2. Calculate the remainder when 181 is divided by o(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9058917, -9058918, -9058921, -9058926, -9058933?\nAnswer: -9058942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -87. Let i be (-9)\/6*m\/6. What is the greatest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let t(i) = -852*i - 54. Give t(b(h)).\nAnswer: 852*h**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**2 - 8*b + 5. Let x be q(1). Solve f + k - 8 = x*f, 4*f + 3*k = -24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h - 8. Suppose 15 = 2*t + 1. Let k(x) = -x**3 + 7*x**2 + 3*x - 5. Calculate the lowest common multiple of k(t) and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120221 - -10?\nAnswer: -120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12957 and -8487651.\nAnswer: -8474694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -201 - 11441?\nAnswer: -11642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2*1\/6))\/((-6321)\/(-105350))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11*x**3 - 10*x**2 - 8*x - 11. Let d(m) = 7*m**3 + 7*m**2 + 5*m + 7. Suppose 0 = 3*i - 14 - 1. Let g(r) = i*p(r) + 8*d(r). Is 13 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + -10 - -1 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20475054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26272939*h - 57975743.\nAnswer: -26272939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1164 and 90237936.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(1276\/(-2001))*(-9)\/(135\/40).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (33 - 22)) + -11\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -265, 155, -13.\nAnswer: -265, -13, 1, 5, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) - (sqrt(931) + ((-1 + sqrt(931))**2 - sqrt(931)) + sqrt(931))).\nAnswer: -40*sqrt(19) + 4660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -38*c - 61. Let z be v(-5). Let n = z + -126. Solve n*u - 16 = -4*q, u + 16 = 4*q - 3*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -60, 2, -1, -4, 3 in increasing order.\nAnswer: -60, -4, -1, 2, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -19*s**2 + 1. Let d be k(1). Let w be 1 + 3 - 2*d. Suppose -2*j + w = -84. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 8 - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t)**1*(t**(1\/5))**(-38))**(-2\/7) assuming t is positive.\nAnswer: t**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3816375 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15)**(-1\/15)*(a**(2\/27)\/a)\/a**(3\/11) assuming a is positive.\nAnswer: a**(-653\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (21 + 39 - (-1 - 5 - (-12 + 12)))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 20*x**2 + 61*x - 79. What is the remainder when 937 is divided by s(-23)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 135 + 22. Let s be (-3948)\/(-188) - 15*9. Which is bigger: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 2*k**2 - k**2)*(k - 4*k + k) + (3*k + 3*k - 4*k)*(0*k + 2*k**2 + 0*k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = d - 7, -9 - 1 = 2*d + 4*b. Let g(r) = -3*r - 10. Let x be g(-7). Suppose -p - d = -x. Solve 2*k + n = p, 2*n + n = 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.8 (b) 122\/13 (c) 5\/6 (d) -1.49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 5*j**2 + j + 5. Give l(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 6. Let k(x) = 4*x + 5. Let c = 26 + -23. What is c*l(f) + 4*k(f)?\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 3*y**5 + 11*y**4\/3 - 67*y**2\/2 + 119*y. Let w(q) be the first derivative of l(q). Find the second derivative of w(r) wrt r.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a. Let c(w) = -3*w - 5*w**2 - w + 0*w**2. Let d(r) = 9*r**2 + 7*r. Let t = 2 + 5. Let q(l) = t*c(l) + 4*d(l). Determine q(f(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14218 + -2\nAnswer: -14220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 40 + 25 - 89*x + 45. Is p(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-21 + (-3)\/(-1)). Suppose h - i = 41, h + 4*h + i - 175 = 0. Let u = h - 53. Is u <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t = 34*t - 3*k + 228, -2*t - k - 470 = 0. Let f = t + 226. Let d(g) = -9*g + 6. Let c(r) = 6*r - 4. Determine f*c(j) - 5*d(j).\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*d - 29, 5*g - d + 0*d = 22. Suppose 6*o = g*o. Suppose -3*z + 2*z - 2*x - 1 = o, 4*z - 5*x - 22 = 0. Solve z*k - 4 = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 31, 27, 25?\n\"Answer: f**2 - 9*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**3 + 4*c**3 + 28036984*c - 23*c**3 - 28036961*c.\nAnswer: -35*c**3 + 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/4095 + -217037\/8190. Find the common denominator of -53\/5450 and t.\nAnswer: 5450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9 + d**2 + 3*d - 5 + 0*d. Let m be i(-3). Solve -5*b - m = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 0, 13, -0.4, 2.05?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175323 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:20 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.12, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 6. Let q be o(3). Suppose -6*g + q = -21. Suppose u = h - 3, 5*h - 5*u + g*u - 23 = 0. Solve -h = -5*v + 4*b, 2*b - 5 = -4*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -33*s + 28*s - 255, g - 52 = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.16 (b) 1\/4 (c) -2\/163 (d) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (0 - 5) - -16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.1 and -106.87.\nAnswer: -105.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/20*-20 - 6. Let j(n) = n**3 + 7*n + 6. Let b(y) = y + 1. Determine m*j(c) + 5*b(c).\nAnswer: -c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -8094\/5 (c) -0.2 (d) 0.5 (e) -2\/9 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03 and 20864.654.\nAnswer: 20864.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 6:48 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30598225, -30598204, -30598147, -30598036, -30597853, -30597580?\nAnswer: -30597199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/54 and -67\/198.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -3283373?\nAnswer: -985011.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/2497 and -49\/454?\nAnswer: 4994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11173 + 17421. List the prime factors of j.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.00600031 + 0.006. What is q rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -774f (base 16) in base 2?\nAnswer: -111011101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r**3 - 3*r**2 - 3. Let f(y) = 47*y**3 + 5*y**2 + 5. Let p(a) = -71*a**3 - 7*a**2 - 7. Let q(i) = 8*f(i) + 5*p(i). Determine 5*c(u) + 3*q(u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 86 = u, 82 = 2*p - 2*u + 4*u. Calculate the highest common divisor of p and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/1049 (b) 6\/11 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + h = 4*p - 8, -5*p - h = -10. Suppose -6*t = -p*t - 28. What is the remainder when 39 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-67)\/134)\/(2\/(-12)). Suppose -h = c*h + 10*h. Solve 4*q + h = -20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t - 1. Let f be p(1). Suppose -4*h + 17 + f = 0. What is the remainder when -7*(-1 + 1 - 1) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -903, 3497 in decreasing order.\nAnswer: 3497, 9, 4, -903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 609 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 3. Let i(v) = 3*v + 10. Suppose 5*u + 5*j - 25 = 0, 4*u - j - 48 = -18. Let s(w) = u*p(w) + 2*i(w). Is 2 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7595 is divided by 1895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*t + 4*t - 453 - 303 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 533 - 1086.387.\nAnswer: -553.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 6949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -332*h - 355. Let o(n) = -987*n - 1066. Let x(i) = -2*o(i) + 7*v(i). What is the derivative of x(k) wrt k?\nAnswer: -350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 15 + 5. Suppose -3*q + 3*v + 33 = 0, 5*q - 4*q + c*v = 31. Let b be (-947)\/(-7) - 12\/42. Calculate the greatest common factor of q and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7457959 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1363586457 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-162)\/(-12))\/(2\/(-4)). Let k be ((-2)\/(-12))\/(w\/18). Which is the third smallest value? (a) -5 (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.10151 + 668.59849. What is d rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/588 - 8\/(-160)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 167? (a) 0.2 (b) -11 (c) 65 (d) 4\/7 (e) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - -14681.\nAnswer: 14623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 122?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 + 294 = 4*j. Suppose -j*z - 4*z = -z. Let c(w) = w + 17. Give c(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/(p\/(p*(p\/p**(-3\/2)*p)\/p)*p))**(-4\/11)\/(p*p**(-2\/3)*p\/p**3*p*p\/(p*p**(2\/15))*p**(-2\/5)\/p) assuming p is positive.\nAnswer: p**(131\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 27, 2\/529, 3\/32, -1, 0.3?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 30 = 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(288)) + sqrt(288) + 6*(-2 + sqrt(288)))**2.\nAnswer: -96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.19173.\nAnswer: -0.76692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 11451 = 2271. Let h be ((-20)\/25)\/((-2)\/5). What is the tens digit of h\/7 - s\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/4 of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020122201 - 2212?\nAnswer: -1020202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10200 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/3 + 3*6\/63. Let u = 7 + -3. Let v be 9\/u*56\/105. Which is the closest to 0? (a) -5 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17511584 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584 + 6 = 27*t + 266 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j**3*m**3 - 7*j**3*m*s**2 - j**3*s**2 + 31*j**2*m**3*s**2 - 7*j**2*s**2 wrt j.\nAnswer: 72*m**3 - 42*m*s**2 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3826248.\nAnswer: 2, 3, 131, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -37, -89, -193, -367?\n\"Answer: -3*t**3 + t**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 245, 5, 85, -3 in decreasing order.\nAnswer: 245, 85, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2*k)\/k*k*k**1*k)\/((k*(k**(-2\/5)\/k)\/k)\/(k*k*k**(6\/5)))*((k**(-2\/7)\/k)**(1\/23))**(6\/19) assuming k is positive.\nAnswer: k**(146562\/15295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1230595*c**6 - 388*c**2 - 12*c - 153 wrt c.\nAnswer: -147671400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-1)\/((-112)\/37 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 - 1) - 9 - (5 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.1, 0.08, -72?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6912) + 0 - sqrt(48).\nAnswer: 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + 2*t + 8, -9 = -5*c + 3*t. Let v be (2\/c)\/((-3)\/(-117)). Calculate the highest common factor of 286 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 81, 110, 137, 162?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/2, -3, -36603.2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 1\/3, -9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2389, -4, -5, 4.\nAnswer: -5, -4, 4, 2389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115097, -115098, -115099, -115100?\nAnswer: -115101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 - 2437\/3916. Let v = 5\/356 - n. Let g = -264043\/21830 - 10\/2183. Find the common denominator of g and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, p: 1, k: 2, n: 2, w: 1}. What is prob of sequence xn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.4 (c) 0.0235 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 2*j**2 + 4*j + 1. Give c(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -27*t**3 + 10272*t**2 - 4558*t - 919. Determine l(380).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 496036983 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5 + 125209*b**4 - 125304*b**4 - 738 + 3*b**2 + 0*b**5 + 3*b wrt b?\nAnswer: 20*b**3 - 1140*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2 + j + 2 - 6. Let m(z) = -6*z + 10. Let v(p) = 11*b(p) + 2*m(p). Let k be v(-4). Solve 4*s = k*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*p - 224*p + 70*p.\nAnswer: -205*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 54*i + 8. Let p(v) = 25*v + 4. Give -9*p(c) + 4*s(c).\nAnswer: -9*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135051.\nAnswer: 3, 7, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120120102 + -1120?\nAnswer: 2120111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Let l = -0.00056 - w. What is l rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11232 - 0.03432. What is the closest to w in 6, -0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, 3\/2, -0.3, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 315127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j = -2045 + 2213 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.4 + -37. Round d to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooaoooooaooooaooooo. Give prob of sequence aaoa.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32.3445524 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 2*x - 1. Let s be w(3). Let l be (12 + 174\/(-14))\/((-6)\/(-4)). Let h = -0.3 + 0.2. What is the nearest to h in -3\/8, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(3 + 1 + sqrt(162) + -2 + -5 + -5))**2.\nAnswer: -3600*sqrt(2) + 5654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*h + 9265, 50*g - 55*g + 9265 = -2*h. What is the greatest common divisor of g and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 33*p + 49189 = -99971. What are the prime factors of p?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 273513.\nAnswer: -3282156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggglglgglllgll?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*c**2 - 219*b**3*n - b**2*c*n - 6*c*n wrt c.\nAnswer: -4*b**3*c - b**2*n - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.2621 * -0.2273\nAnswer: 0.28687533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1.2?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129195833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 101, 242, 371, 488?\n\"Answer: -6*z**2 + 159*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 419, 436, 467, 512?\n\"Answer: 7*q**2 - 4*q + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-4\/17)*k**(1\/47)\/k*k*(k*k**(-5)*k)\/(k\/k**(-38)) assuming k is positive.\nAnswer: k**(-32930\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*j**2 + 0*j**2 + 4*j**2 + 2 + 2*j**2 - 2 + (j**2 - 2*j**2 + 8*j**2)*(3 + 0 - 1).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2821 and 0.2072?\nAnswer: 584.5112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.169, -1 in decreasing order.\nAnswer: 4, -0.169, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314745?\nAnswer: 3, 5, 20983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 228 = 2*s + 2*t, -4*t = -s - 144. Let u = -106 - s. Calculate the common denominator of 6\/u - 79\/(-60) and -37\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.36 - -0.04. Let n = j - 1.4. Let w = 3 + n. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8467981 rounded to 4 dps?\nAnswer: -0.8468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + 221. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 + 125*x**2 + 120*x = 0. What is x?\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(19)*2)**2.\nAnswer: -96*sqrt(19) + 552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -567*t - 355*t + 0 + 848*t + 1. Let d(z) = -4*z + z + z. What is l(d(b))?\nAnswer: 148*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10765627 times -2.9\nAnswer: -31220318.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53954 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289826072.\nAnswer: 2, 36228259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 13*p**3\/6 - 3*p**2 + 2*p. Is n(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a - 71 + 2 + 69.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q**4 - 10555*q**2 + 3*q + 264690 wrt q?\nAnswer: 12*q**3 - 21110*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 11*y**3 - y**3 + (-1 + 1 + 1)*(16*y**2 - 3*y**3 - 16*y**2).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + c + 12, 20 = -2*j - c - 3*c. Let z = j + 2. Let i = z + -3. What is the third smallest value in -1\/2, 3\/2, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.26 + 5.260583. Round d to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 29\/(-6) + 1\/(-6). Put a, -1, 2 in ascending order.\nAnswer: a, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 482, -2\/5, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-30))\/(3 - (0 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9165267 is divided by 413.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020051043 to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 + -0.13. Let y = 5\/19 + -54\/133. Sort z, -0.5, y in decreasing order.\nAnswer: z, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.94 + -48.04. Let j = -47 - h. Let m be 6\/33 + (-4 - -4). Which is the smallest value? (a) 0 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 100 = -5*x, -314 = 3*x - 3*k - 182 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1. Let m(j) = -2*j - 4. Suppose -7*f + 3*f = -5*g - 49, 0 = f + 4*g + 14. Suppose 0 = 6*z - 12*z + f. Determine z*m(h) - 3*c(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j + 91 - 35*j + 94 - 37*j - 185.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a factor of 12306450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 220050*h**2 + 13192377*h - 12972330.\nAnswer: 3*(h - 73290)*(h - 59)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 854 and -9188.\nAnswer: -8334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1583132679 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*k + 1)*(-35*k + 14*k + 34*k) - k**2 + 3 - k - k - 2.\nAnswer: 25*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 19*w - 20. Give u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -0.2, 0.089?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2565*l - 1930. What is the hundreds digit of i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + 54\/(-4). Let f = z + 14. Solve -p - 3*p - p**3 + 16*p**2 + f*p - 21*p**4 = 0 for p.\nAnswer: -1, 0, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328932 and 7236504?\nAnswer: 7236504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (516\/4)\/((-3)\/(-2)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130137 + 130136 + 62*f + 130137 - 390412.\nAnswer: 62*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 173. Let g be 300\/k - (-3)\/(-4). Suppose 0*v + 5 = v. Solve -v*q + 4*n = 35, -21 = 2*q - g*n - 0*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 3771054.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*d - 183*d + 9*n = -258, -5*d + 4*n = -83 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 24) + (150 - (-87 - -122))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 124399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -3 (c) 99 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 55055630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6828377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 937. Let j = r + 879.00000743. Round j to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2605 - 902 - 841 - 630*t - 862.\nAnswer: -630*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148\/321 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9107231 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -650930755, -650930746, -650930725, -650930686, -650930623, -650930530, -650930401?\n\"Answer: b**3 + 2*b - 650930758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13348 and 23572.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 523\/5 + -105. Let t be 0 + 2\/27*3. Sort -1\/4, t, f in descending order.\nAnswer: t, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 21 = -5*u, -5*u + 10 = 5*o - 20. Suppose -430 = l - u*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 268 = 44*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*b**3 + 695*b**2 + 2165*b + 645.\nAnswer: 5*(b + 3)*(b + 43)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, -5, -2\/9, -21, 2\/9 in increasing order.\nAnswer: -21, -5, -4, -2\/9, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 9*d**2 + d + 3. Give p(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2073953667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 6 = 2*r + 7*m, -3 = -r - 4*m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + -2 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 10*y = 15. Let k be 0 - ((-205)\/y + -2). Let s = k - -42. Solve s*r = -t - 7, 2*t = 4*r + 2 + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 7*k**2 - 8*k - 8. Let z be f(-6). Let y = -2.02 + 0.02. What is the closest to y in -1\/3, -4, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1405240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/23 - 33\/115. Let b = 7 + -10. Let c = 1 + b. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568269.\nAnswer: 3, 13, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -16 + (-6 - -10) + 16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05702619 + 9.\nAnswer: 9.05702619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 + 2*p**3 - p**2 + 3*p**2 - 2*p**2 - 34 to j*p + o*p**2 + l + n*p**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -25*h**3\/6 + 2*h**2 - 10*h. Is 34 a factor of v(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 15\/(-6)*(-126)\/15. Suppose -24*t + 29*t = -115. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8930, -8515, -8100, -7685?\n\"Answer: 415*c - 9345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -70. Suppose -3*w + 4*w = -p*z + 2, -z + 6 = -2*w. What is the smallest value in -2, 1, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37441, 37208, 36969, 36718, 36449?\nAnswer: 36156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 10:04 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 832.78 - 840. Let f = -4.23 - q. Let j = -0.01 - f. Which is greater: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = -5, 2*f + 4 = 2*s. Let k(a) = 14*a + 48. Let l be k(f). Let u(t) = -3*t - 3 + 6*t - 5*t**2 + 4*t**2. Calculate u(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341208619 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.492, 0, 9, -3\/8, 4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(77) + sqrt(77) + sqrt(77)*2)*-3 + sqrt(77) - sqrt(77)) + sqrt(77))*-1)\/((6*(sqrt(11) - sqrt(44)\/sqrt(4)) - -2*sqrt(1331))*6).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 2 (c) -1 (d) 3.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q - 793 = -806 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*x + z, 0 = -5*x - 8*z + 3*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 = -12*y + 9877. Suppose 0 = 3*v - 5*j - 518, -3*v - 305 + y = 3*j. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-13))**48 assuming c is positive.\nAnswer: c**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + a + 0)*(5 - 5 - 3*a**2).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 20\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(162)\/sqrt(3))\/(sqrt(27)\/(sqrt(9) - (sqrt(9) + sqrt(144)))))**2 + 1 + -2)*3.\nAnswer: 31101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-100182*i**2 - 98391*i**2 + 192888*i**2).\nAnswer: -5685*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 181*p + 51. Let i(r) = -91*r - 25. Let k(g) = -7*i(g) - 4*l(g). Differentiate k(a) with respect to a.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104268 is divided by 26067.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2461 + 1108 - 735 = -218*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -1 - (-409 + 413)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158.146 - 158. Let b = 0.14671 - h. What is b rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 1 = 9*v + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3546 = 2*c + 2*c, c = 4*f + 909. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 6*d + 42000. Round d to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5412? (a) 0 (b) -4 (c) -0.002 (d) 1\/2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618465739?\nAnswer: 3, 47, 18570679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*x - 8*x - 11*x**4 - 3*x**4 + 0*x**4 wrt x.\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = r + 7 - 29, 0 = 5*r - 4*g - 26. Solve -7*d + r*d + 25 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 - 327*o**2 + 26*o + 2285551.\nAnswer: -3*o**2 - 654*o + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 24 = -2*f + 2*a, f = -5*a - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 - -117. Put 2, -5, d, -1 in increasing order.\nAnswer: -5, -1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 33. Suppose l*f - 18 = -2*p + 5*p, 3*f = 4*p + 21. Suppose 4*v = -f*g + 27, 0*g - 4*g + 2*v = -36. What is the highest common factor of g and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16618407 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*(-424 - 36*j**2 + 424) + j**3 - 26 + 1118*j - 1118*j.\nAnswer: -71*j**3 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62928 by -184.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 15*g**3 - 166*g**2 + 8*g + 26. Calculate j(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.13 - 0.07. Let r = j + 6.2. What is the second biggest value in -2, r, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827590 is divided by 9398?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t - 7 = -3*f, 0 = 5*t + f - 15. Let q be (0\/((-10)\/2))\/t. What is the units digit of -108*((-2)\/14 + q)*7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4) + -3 - sqrt(13)) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(14))\/(sqrt(4)\/(sqrt(10)\/sqrt(5))) - ((sqrt(63) - sqrt(189)\/sqrt(3)*-5) + (2*sqrt(756))\/sqrt(12)))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -64.2. Let s = l - -9.2. What is the smallest value in 0, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o. Let w(s) = -7. Calculate -d(b) + w(b).\nAnswer: 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/243 - (-782)\/(-19872))*(-1 + (-12)\/(-9)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-15))\/((-2)\/(-230)). Let q = m - -76. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713786.\nAnswer: 2, 356893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 2:36 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/21, 2, 7\/6, -5, -3\/7 in descending order.\nAnswer: 2, 7\/6, -5\/21, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 10 = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160631 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i + 4. Let b = 51 - i. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165909 and 199752.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-70)\/6 + (-2)\/(-3). Let m be ((-824)\/618)\/(8\/78). Is m equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7341 + 7340. Which is the closest to -0.1? (a) -1\/5 (b) -3082 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 179. Let z = h + -55. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10924 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -1) + (10 - (37 + -8))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*r + 116 = 117*r. Suppose -2*l = 3*l - 4*w - r, -3*l - 5*w + 20 = 0. What is the highest common factor of l and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/61776 and 125\/37422.\nAnswer: 3891888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7))**(-2\/21)*(w\/(w**(-3\/10)\/w))\/w**(2\/11) assuming w is positive.\nAnswer: w**(33811\/16170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqww when four letters picked without replacement from {w: 3, o: 3, q: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 8:38 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231545 is divided by 28903.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4\/4 + 6333*k**3 - 661011*k**2\/4 - 743310*k - 571725 = 0.\nAnswer: -8470, -3, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693600 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.97 - -0.03. Let u = 14.87 - -0.13. Let z = -15.1 + u. Which is greater: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -139.4 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 - 2*h + 6. Let i(w) = 2*w**2 + w - 3. Let k(a) = 4*g(a) + 9*i(a). Let u be k(1). Solve u = -2*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3110)\/795 + 4)*141\/329?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/266127 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312271 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-950)\/15)\/(-19).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 59 - 33*z**2)*(-z + 3*z - 5*z).\nAnswer: 99*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 339 (b) 4\/7 (c) 1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + v - 8, -m + 5 = -33*v + 31*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1160350, -1160349, -1160348, -1160347, -1160346, -1160345?\nAnswer: -1160344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 166228 = -5*k - 133302, -4*k - 299532 = 5*c. Suppose 107204 = 3*s - 10720. Let a = s + c. What is a rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/((-2)\/(-4))*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0368194 - -0.0369. What is a rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11285 - -11287. Solve 7*v - i*v + y = 0, -3 = -2*v - y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 35. Let x be 3 + (-3 - 21) + d. Let j = x + 41. Solve -7 = -4*y - j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5967\/12 - 1\/4. Let i(c) = -2*c - 12. Let z be i(-7). Suppose 3*l = z*l + b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-5) - (-5)\/(100\/604). Suppose 3*t = 8*t - h. Suppose -3*a = -t, 4*a = 4*o - 5*o + 10. Solve -3*k + 3*j = k + o, 0 = 5*k - 2*j - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*y - 72*y + 1035 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + b - 13 + 4 = 0, 4*x - 24 = 4*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2804754?\nAnswer: 2, 3, 67, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37517*d*q**5 + 3*d*q**3 - 62*d*q + 29*q**2 - 3*q wrt q.\nAnswer: -2251020*d*q**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = g + 2*g - 93, 2*a - g = -66. Let q = a + 130. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((1*sqrt(99) + -4 + sqrt(99)*-3 + -2)*6)**2)*6.\nAnswer: 15552*sqrt(11) + 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4434 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**5 - 25*j**5 + 70*j - 37*j + (0*j**3 - 3*j**3 + j**3)*(-j**2 + 0*j + 0*j).\nAnswer: -28*j**5 + 33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005509728 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 102*l - 130. Calculate the remainder when h(6) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30 and 13.47555480101.\nAnswer: -16.52444519899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 128.\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2448)*1*5)*-2.\nAnswer: -120*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 500823372 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809951469?\nAnswer: 3, 29, 59, 157793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -378491 and -378491 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2692800 and 66528.\nAnswer: 56548800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 + -124. Let g(i) = 2*i**2 + i. Let x(v) = 2*v**2 + v - 1. What is j*x(s) + 2*g(s)?\nAnswer: -2*s**2 - s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -77\/30*v**6 - 3 + 0*v**4 + 23\/3*v**3 + 0*v**5 + 0*v**2 - 16*v. Find the second derivative of l(a) wrt a.\nAnswer: -924*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -1)*14\/(-364).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, -44, -1307, -3732, -7697?\nAnswer: -13580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 45*z + 18. Calculate d(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753*u**3 + 2512*u**3 + 477*u**3 + 1091*u**3.\nAnswer: 3327*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5489 and -8.7.\nAnswer: 5480.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 18*d**2 + 26*d - 700. Let o be r(17). Solve 5*q + o = -3*n, -116 = -4*q - 5*n - 146 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141123859 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8526377*l**4 + 220764*l - 22 wrt l?\nAnswer: -102316524*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/(-310)*(-5)\/(-37)*2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, -2\/5, 1, 2\/15, 578?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6053695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 168 = 3*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4))\/((-3)\/2)*(-6)\/(-27).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 6*x + 0*x)*(-3 + 2 + 3) + 3*x - 4*x - 3*x + 7*x + 51 - 51 + 2 + 3*x - 2.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(119)\/(sqrt(35)\/sqrt(5)) + -1 + -4 + (sqrt(17) - sqrt(51)\/sqrt(3)) + 2)**2.\nAnswer: -30*sqrt(17) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g - 1. Let m be f(1). Suppose 2*c + 3*d - 60 = 2*d, -m*c + 4*d = -120. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 28. Let p be (3*361\/15)\/b. Let f = -72 - p. What is the second smallest value in f, 2\/7, 0.11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -13*q + 769. Let b be j(45). Solve b*a = 196*a - 36 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*i**2 - 99*i**2 + 6*i**6 - 35*i**6 wrt i?\nAnswer: -3480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5\/8, 1\/3, -98, 137\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29971, -49031, -68091?\nAnswer: -87151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 263879 and 38865607?\nAnswer: 272059249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 = -258012*k + 257996*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 22*y**2 - 3*y + 33. What is h(-11)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((912\/(-95))\/24)\/((-2)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**8\/5040 + f**7\/504 - 7*f**6\/1080 + f**5\/120 + 13*f**3\/6 + 4*f**2. Let i(r) be the first derivative of k(r). Factor i(y).\nAnswer: -y*(y - 3)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475 - 10143 + 65526 + 15752 = -2046*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**3 + 34*s**2 - s + 17. Let t be m(-5). Which is the nearest to 0? (a) 0.4 (b) t (c) 1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 47 = -2*i, 0*u + 3*u - 5*i - 61 = 0. Let x be 60\/24*(1 - -1). Suppose 5 = x*f - 15. Solve q - f*z = u, -z = -0*q - q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 53 = 77. Let x(n) be the first derivative of -n**3\/3 - 2*n**2 + 34*n + 2. Let t be x(u). Solve 3*o - 3 = t*a, -5*a + 4*o + 18 = 5*o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 0. Let v be 0\/(1 + -2) - 2. Let s = v + j. What is the greatest common divisor of s and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -8. Suppose t*j = j + 21. Calculate the remainder when 26 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j - 10, 3*j + 71 = -2*n. Let w(x) = -x**3 - 6*x**2 - x + 5. Calculate the least common multiple of (-8)\/n - 108\/(-14) and w(-6).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8067 + -8067. Sort 3, 166, p in descending order.\nAnswer: 166, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8762339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 - 5*x + 5. Let w = -63 + 101. Let s be 2\/5 + w\/5. Let b(z) = -6 + s*z + 4*z**2 + 0 - 2*z. Give 5*b(d) + 6*n(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 14 + 3 + 8 - z + 0*z. Suppose 2*d - 34 = 4*t, -2*t + t = -4*d + 68. Calculate the least common multiple of 12 and u(d).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4 + 32*m**3 - 68*m**2 + 40*m = 0. What is m?\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 154925*d - 464804. Determine r(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - 7*o)*(-3*o + o - 9*o)*(3*o - 3*o - 10*o**2).\nAnswer: -770*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.362*-0.03.\nAnswer: 0.04086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2. Suppose 2*p - 14 - 10 = 0. Suppose -2*x + 14 = -f + 5*f, -4*x = -p. Let s(t) = t - t - f*t. What is s(g(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 2*t - 3. Let p be s(2). Suppose 24 = -3*i + 3. Let d = p + i. Put 2, 3, d in decreasing order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 47, -6, -69, -148, -249?\n\"Answer: -w**3 + w**2 - 49*w + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925245.\nAnswer: 5, 7, 67, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163 - -169. Let o be c\/(-30)*-10 + 0. Put 6, o, 5, -4 in descending order.\nAnswer: 6, 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 14985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -3*1) + 7. Let u(g) = -g**3 - 7*g**2 + 4. Let j be u(-7). Is 239\/j - 6\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 69 = 5*h, -5*h + 42 = -h - 2*a. Calculate the smallest common multiple of h and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135625 - -100091077\/738. Let s = 1\/82 + p. Which is the second smallest value? (a) 16 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 times -10206.9\nAnswer: 1255448.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-644)\/(-162) - (26940\/4041 + 16\/(-6)).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, y: 6, i: 1}. What is prob of sequence ssy?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 10:32 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -17*k - 18. Put 3, 1, 2, k in descending order.\nAnswer: 3, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -47, 4 in decreasing order.\nAnswer: 4, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 2*x**2 - 5*x. Let a be b(4). Let o be 2\/a + 3\/9. Let g(h) = h**2 + 8*h + 10. Let d be g(-7). What is the closest to o in 1, d, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 2, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -75 + 80 - (1 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -102 (c) -2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1.5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = 3*w. Let z(i) = -10*i - 6*i - w*i. Let m(u) be the second derivative of -u**4\/6 - 2*u. What is m(z(b))?\nAnswer: -722*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 555 = 17. Calculate the greatest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -6)\/(3\/(-9)). Let r = -14 - t. Suppose -96 = 4*i - 8*i. Solve r*p = -c - 20, -4*c - p = p + i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/45 and 70\/351?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 = 2*x + 5, -4*j + 14 = -3*x. Let r be x\/(-4) - (-1252)\/(-32)*4. Let z = r + 332. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -28, -3, 4, 170, 22 in decreasing order.\nAnswer: 170, 22, 4, -3, -5, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + l = 24. Let g = 12 - l. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 445875653 <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1650 and 34550175?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(170) + -1*sqrt(170) - sqrt(170)) - (sqrt(170) - sqrt(170)*-1*-2))\/((sqrt(10)*-2 + sqrt(10))*-1 - (sqrt(10) + (sqrt(120)*1)\/sqrt(12))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 + 160. Let i be b\/32 + 17\/12. What is the closest to -2 in 6, -1\/3, -0.2, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 18*q - 30. Let a(x) = -x**2 + 33*x - 188. Let b be a(8). What are the prime factors of g(b)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389773063 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84.98481 litres?\nAnswer: 84984.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/20 and 99\/60222904?\nAnswer: 301114520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - 51*i + 61 + 175. Solve -42*o + 45*o = 12, -2*c - 3*o + i = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17607?\nAnswer: 3, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:24 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 412849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 1. Let w(x) = x**3 - 8*x**2 - x. What is 2*d(u) + w(u)?\nAnswer: u**3 - 10*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81096143?\nAnswer: 81096143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*r**2 - 220 + 99 + 119.\nAnswer: -45*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5453911667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 184*t - 175*t, -4*g - 7 = t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 13) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 + 4. Let p be o(6). Let w(b) be the first derivative of 1\/2*b**2 - 3\/8*b**p + 0*b + 1\/6*b**3 + 2. Determine y, given that w(y) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2082, -8440, -19040, -33882, -52966, -76292?\n\"Answer: -2121*p**2 + 5*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3\/(u\/(u\/(((u\/u**(-5\/3))\/u)\/u))*u)*u*u*u*u\/(u**(-5)\/u)*u*u*u\/u**0*(u*u**5)\/u**(3\/2)*(u\/u**(6\/5))\/(u*(u**5*u)\/u) assuming u is positive.\nAnswer: u**(379\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -31, -12, 15, 50?\n\"Answer: 4*q**2 - q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4 = 4*f - 1, -2*f = 3*i - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 184.9 + -185. Let f = -53.1 + 53.5. What is the closest to z in -3, -0.4, f, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6775, 13550, 20335, 27136, 33959?\nAnswer: 40810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1364 (c) -0.4 (d) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2363*a - 2392*a = 348 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*t**4 - 37*t**3 - 98*t**2 + 40*t.\nAnswer: t*(t - 5)*(t + 2)*(11*t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 3}. What is prob of sequence lmml?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k = 95. What is the derivative of -1 + 25*j - 20*j - k*j wrt j?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -491 + 479. Let q be s\/(-30) + -3 + 2. What is the fourth biggest value in 2, q, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q + 2*q)*(2 - 3 - 1) + (4 + 2 - 4)*(2*q - q - 3*q) + (0 + 0 + 2*q)*(4 - 4 + 2) + 61*q - 105 + 105.\nAnswer: 57*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1383697826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3222 and 15?\nAnswer: 16110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 31 - 13*x**5 - 31 + x**5 + 3*x**5 + 0*x**5 - 2*x**5 + 2*x**3 - 2*x**3 + (-4*x**5 + x**5 + 4*x**5)*(-1 - 1 + 3) + x**2 - x**2 + 2*x**5.\nAnswer: -8*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1 - -2)) + (-29 - (24 - 77) - 34).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Suppose -9 = d - 0*t - t, 15 = -d + 4*t. List the prime factors of (-1)\/o - (d + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(15)\/sqrt(5) + -1 + sqrt(3)*4 - ((sqrt(108) + sqrt(27))*5)\/(sqrt(9) - (sqrt(108) + -2*sqrt(108))\/sqrt(12)).\nAnswer: -11*sqrt(3)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54, 111, 168, 225, 282?\n\"Answer: 57*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/432*-276)\/(1\/(-3))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 63*o**3 - 486*o**2 + 1632*o - 2016.\nAnswer: -3*(o - 7)*(o - 6)*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13.21437 and -1.45464?\nAnswer: 14.66901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 331 + 21 = 0. What is the first derivative of 0 - d*o**3 + 56*o**3 - 9 + 2 wrt o?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71.00001 + 71. Round c to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3022 in 2\/3, -0.8, -21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-4 - (-5 + (0 - 9))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, -134.63, 0.06, -3.\nAnswer: -134.63, -3, -0.1, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txx when three letters picked without replacement from ttttttxttxtt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5*b + 3*b - 6 + 2.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(60) - sqrt(60))*-5)\/(1*sqrt(12)\/sqrt(3)))\/((sqrt(405) - -2*sqrt(405) - sqrt(5)) + sqrt(1960)\/sqrt(8)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/1)\/((-16)\/8*(-98)\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-1\/11)*c**6\/c*(c\/c**(-1\/8))\/c assuming c is positive.\nAnswer: c**(459\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**3 + 1 + 4*g**3 - 5*g**3. Let b(l) = -196. Let d(p) = -235. Let m(o) = -6*b(o) + 5*d(o). What is m(a) - v(a)?\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -19\/53772?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -15. Let s(p) = -p + 6. Let r be s(f). What is the smallest value in 3, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.4 + -12.4. What is the fourth biggest value in u, 0.1, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 1:54 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 15*s**2 + 37*s + 67. Let m be n(11). Let c(i) = 3*i - 11. Let v(u) = -2. Determine m*v(l) + 2*c(l).\nAnswer: 6*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*m**2 - 360\/7*m**4 - 12\/7*m + 0 - 1802\/7*m**3 = 0. What is m?\nAnswer: -3, -2, -1\/180, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -196*h + 751. Give y(5).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 49. Let p be g(-7). Suppose -8*a + p*a = 1398. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233.9+-322746194\nAnswer: -322744960.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12939, 13268, 13597, 13926?\n\"Answer: 329*y + 12610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23257 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + g**2 - 4*g + 2. What is b(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5859895269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**2 - 3*m - 9. Let b(n) = n**2 + 1. Let k(r) = -5*b(r) - i(r). What is the least common multiple of k(-2) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 6*v**2 + 145. Let m(l) = -6*l**3 - 13*l**2 - 290. Let i(b) = 13*f(b) + 6*m(b). Differentiate i(h) with respect to h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 153?\nAnswer: -168.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 w, and 2 v when four letters picked without replacement from cwvvwcwcdwaa.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/3*(-420)\/1456. Put 0.4, 1\/6, u in decreasing order.\nAnswer: u, 0.4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.89 * 5.\nAnswer: 9.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 4:18 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 18*k + 23. Let o be m(19). What is the second derivative of -14*d - 14*d**o - 238*d**3 + 238*d**3 wrt d?\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 30. What is the greatest common factor of 55 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21392510.9999896 + 21392542. Let w = 31 - i. Round w to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*z + 28, -22*x - 4*z = -20*x + 48. Let v(o) = 24*o + 391. Determine v(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 + 0.02. Let h = 4.95 - v. Round h to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (7 - -16 - 15) + (8 - (1 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (837\/(-6))\/(2457\/546)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 9. Let h be k(8). Suppose 4*a - h - 5 = -2*w, 4*w - a = -3. Let d(j) = -10*j**3 + 0*j + 2*j**2 - 4*j + 2*j + 1 + w*j**2. Calculate d(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 221\/4. Which is the third biggest value? (a) m (b) -0.004 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -197797, -197722, -197647, -197572, -197497, -197422?\n\"Answer: 75*f - 197872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k**3 + k**2 + 5*k + 5. Let l = 41 + -38. Let x(s) = -230*s**l + s**2 - 2*s - 2 + 235*s**3 - s**2. Give -2*f(v) - 5*x(v).\nAnswer: -3*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + sqrt(98)*-2 + -5 + 0 + 3)**2.\nAnswer: 28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -480*s**4*v**2 - 299*s*v**3 - 2*v**3 + 5*v**2 - 299*v - 49 wrt s?\nAnswer: -1920*s**3*v**2 - 299*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1777.281 - -1776. Let n = 0.081 + q. Which is smaller: -0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 9*o + 63*o + 2 + 6*o**2 + 21*o.\nAnswer: 6*o**2 + 93*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -50, 0.4, 4\/9, 18, 13?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 divided by 682?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1 (c) 1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 2}. What is prob of sequence hhj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2570?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001110100 + -21?\nAnswer: -1001110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -22*1*(-4)\/(-5). Let t = 69\/10 - i. Find the common denominator of 91\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*440\/24*1. Suppose 59*w - 4472 = t*w. What are the prime factors of w?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1003*o**2 + 4382*o - 4382*o as u + z*o**2 + c*o and give z.\nAnswer: 1003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/(6\/9). Let z be 3 - (-2 - (-2 - m)). Let l be (2\/(-8))\/(7\/z). Which is the second smallest value? (a) l (b) -1\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k + 105. What is t(-20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136289?\nAnswer: 17, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 9 - i + 0*i + (-81 + 42 - 40)*(i - i + 2*i) - 1 + 1 - i.\nAnswer: -162*i + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 70 = 2*g, g = -2*l + 4*l - 70. Suppose -p - 25 = 3*o + o, -2*o = 5*p + l. Sort p, 1, -7 in decreasing order.\nAnswer: 1, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87.2 + -80. Let y = 7 - g. Let n = 0.1 - 0. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 - 151. Let k(q) = q**2 + 4*q + 3. Determine k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c. Let x = 2 + 3. Let j(t) = t - 10*t + x*t + 3*t. Let n(u) = -i(u) - 12*j(u). Let m(s) = s. Calculate m(n(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 less than 11.021865?\nAnswer: 11.821865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-152*u**2 - 161*u**2 - 110*u**2)*(2 + 5*u**2 - 2) to y*u**4 + v*u + w*u**2 + l + q*u**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**3 + 7*h**2 - h + 3. Let z(t) = 6*t**3 - 6*t**2 + t - 3. Give 5*a(v) + 6*z(v).\nAnswer: v**3 - v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 + 150\/10 - 5*1. Solve 2*j + 2*k = q, -4*j - 2*k = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 72, 163, 254, 345?\n\"Answer: 91*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 6) in base 13?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**2 + 0*v + 35*v**2 + 2*v - 53*v**2 - 1246.\nAnswer: -v**2 + 2*v - 1246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5 = -4*k, -2*k - 14 = 10*u - 6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -46. Let a(p) = -3*p**3 - 11*p**2 + 8*p + 3. What is the units digit of a(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0)*(-19)\/((-6384)\/294).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 12*b**2 + 18*b - 8. Let p be n(-10). Calculate the greatest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 17*y - 84. Let q be r(5). What is the units digit of (5\/10*-2 - q)*-92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 4868754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 2*n**2 - 3\/4*n**4 - 4 + 2\/5*n**5 + 0*n - 1\/70*n**7 + 3\/20*n**6 - 7\/2*n**3. Factor k(s).\nAnswer: -3*(s - 7)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/337 - 4333\/5392. What is the common denominator of (59\/(-22)*-3)\/3 and w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a + 3*a + a. Let l(y) = y. Suppose -3*w + 1 = 19. Let f be (8 + 3)\/(-3 - -4). What is f*l(j) + w*q(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 2. Suppose 0*y = y + 1. Let v(f) = -1. Calculate y*v(m) + t(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 5*h - 4. Calculate i(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/43 <= 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96159512 divided by 24039878.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = 4*i + 14*l + 17*l + 221, -5*i + 6*i = l + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -339, -506, -667?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Suppose h = 2*h + 8. Let x be (-5)\/(-24) - f\/h. Put x, 11, 0 in decreasing order.\nAnswer: 11, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - ((-3)\/(-1) + 2). Is -3 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/5 - 9188*c\/5 - 10552418\/5 = 0. What is c?\nAnswer: -2297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/10 + q**4\/2 + 7*q**3\/3 + 11*q**2 + 4*q. Let j be d(9). Suppose -j = -2*c - 518. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -174. Suppose -k = -3*a + 65. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -111010001010011?\nAnswer: 111010001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 78*j - 79*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 - a + 130. List the prime factors of d(0).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.7 and -1?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -2, 5, 194, 15, -4, -1 in decreasing order.\nAnswer: 194, 15, 5, -1, -2, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 8451, 3, 4\/3, -4\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 48*y**2 + 6648*y + 29. Determine t(109).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 25, 0*k + 4*z = -5*k + 20. Suppose k*d + d + 3*r - 198 = 0, -436 = -2*d + 4*r. What is the highest common divisor of d and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, and 1 o when three letters picked without replacement from ffffzggfhfgofzofgzf.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1266385\/22496772 - 254\/5563. Find the common denominator of 26\/9 and p.\nAnswer: 12132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 39*x**3 + 3*x**3.\nAnswer: -37*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-16) + (-7505)\/(-4740). Let w = 6 + -4. What is the closest to w in -5, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.245, 4, 5, 63\/11, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 5:25 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/(4\/(-290)*430\/(-172))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from {z: 7, r: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2550181 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j - 5*j)*(3*j + 0*j - 5*j) + j**2 - j**2 - 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1600818 divided by -1437.\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 7e?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3 - 3*g + 0*g + 4*g. Let n be v(5). Let i(t) = -t**2 + 9*t - 6. Let c be i(n). Solve -8 = c*z + 2*q, -4*q + 0*q = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from unmpm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 310623\nAnswer: 8386821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 17*n**2 + 4*n - 42. Let i = 262 - 277. What is the tens digit of f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*r + 11, 4*g + 4*r + 22 = 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -57.9, -3, -8?\nAnswer: -57.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4579, 4566, 4541, 4504, 4455?\nAnswer: 4394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 8*t + 5. Let q be y(-3). Suppose 4*d - 115 = 5*w, -10 = 2*d + q*w - 54. Solve -2*g - d = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6 - 10 + 2*w - 11 - 22*w. Let p be c(-7). Suppose 27 + p = 4*y. What is the remainder when 151 is divided by y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5888, 13535, 26266, 44081, 66980, 94963?\nAnswer: 128030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + j + j**3 - j**2 - j**2 + j = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/6)\/1*-4. Let u = 7.4 + -7.6. Which is the nearest to 0? (a) n (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + -0.2. Let r = j - -0.1. Let q = -7 + 11. Which is the nearest to -1? (a) -1\/4 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2.04. Suppose 3*x - 36 = 2*d, 86*x = 84*x - 3*d - 28. What is the second smallest value in x, l, -11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 10*w + 5. Let b = -100 - -86. Calculate the least common multiple of c(-5) and (916\/b)\/(-2) + 10\/35.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/3 + 13*i**2\/3 + 29*i\/3 + 5 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 23621*h - 1629833. Calculate a(69).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 4*z, d - z = -2*d + 3. Let n(c) be the first derivative of 5\/2*c**2 - d + 2*c - 4*c**3. Let n(t) = 0. What is t?\nAnswer: -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32313761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/20 - 5*h**4\/24 + h**3 + 27*h**2. Let i = 13 + -1. Calculate the smallest common multiple of i and d(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-4)\/36*-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -2*t**5\/5 - t**4\/8 - 1349*t**3\/3 - 2454*t**2. What is the first derivative of k(g) wrt g?\nAnswer: -48*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -64, -4, -12179 in descending order.\nAnswer: -1, -4, -64, -12179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q. Suppose 4 = -q*u + 2*u. Let d = -337 + 347. Solve -u*o - 11 = 5*j, -3*j - j = o + d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3250?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = -2*c - 22, 5*l - 24 = 3*c. What is the derivative of -7*p**4 - l + 10*p**4 + 0 + 1 wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + 0*r)*(-4 + 4 - 2)*(62 + 88 - 200)*(-3*r - 3*r + 7*r).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19 and 222?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 15. Suppose -2*x + y*h = -2*h - 299995, 0 = 5*x + 4*h - 750004. Round x to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-21))\/(22\/77) - -4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from vmcovzzox?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 468?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1368 divided by -9.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -2, -4, -8, -14, -22?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3098108876 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - ((-20 - -33) + -5).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760920.2 nanograms to grams.\nAnswer: 0.0007609202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5\/9 - 647362*u**4\/9 - 7120810*u**3\/9 - 22656950*u**2\/9 - 5394500*u\/3 = 0?\nAnswer: -323670, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -1\/4, -1596, -6, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159245614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -159*a**2 - 58. Let i(p) = -p. What is c(i(t))?\nAnswer: -159*t**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*((-443)\/(-2))\/(-1). Let z = d - 1396. Round z to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2328 and 5954232.\nAnswer: 577560504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -830 - -1190. Let j = -217 + a. Suppose -399 + j = -4*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 572*z**5 - 37*z**3 + 37*z**3 - 4*z**2 + 24*z**2 + 1 + 211*z**5 wrt z.\nAnswer: 46980*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 24.0488 micrometers?\nAnswer: 24048.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1115466*g**3 + 11037733*g?\nAnswer: -6692796*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*sqrt(17) - (sqrt(2057)*-2)**2)*3.\nAnswer: -24675 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*p - 5*p. Let n be 2\/(((-4)\/(-15))\/((-6)\/(-15))). Find the first derivative of 15 - 40*v**p + 21*v**n + 14*v**3 - 5 wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 74 and 54 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 197959193345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:02 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 131376648 and 21?\nAnswer: 919636536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5 - 3878*b**4 + 134691*b**3 - 715154*b**2 + 1368340*b - 891576 = 0. What is b?\nAnswer: 2, 29, 3843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*r - 4*m, m + 1 + 6 = 3*r. Suppose -r*v + 90 = v. What is the common denominator of ((-4)\/v)\/(4\/635) and 41\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s - 3. Let p(k) = k**3 + 2*k**2 - 3*k - 3. Let f be p(-3). What is the units digit of i(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**5\/50 + g**3\/5 + 2*g**2\/5 - 40*g. Determine b so that y(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20024 (base 7) to base 4.\nAnswer: 1023110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29 + -13 + (-147)\/9. Which is the closest to -2? (a) x (b) -1 (c) 9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 0.1, -11\/199, 0.138?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 8*i = 10. Let n(a) = 5*a**2 - 2*a**2 - 3*a**i + 2*a**2. Let t(y) = 12*y. Determine n(t(k)).\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ed (base 15) to base 6\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2665968.84 + 2665841.239329. Let d = l - -127.6. Round d to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2 - 43*c + 100. Let g be t(3). Solve -14*b + g = -9*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {h: 1, y: 2, i: 3, l: 1, v: 2, m: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11393 or 12655?\nAnswer: 11393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1533042338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115114\/3 + 37501. Let y = -869 - q. What is b in -1\/3 + y*b - b**2 = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 120 - 3*h - 72)*(3*h - 2*h - 2*h) to the form x*h**2 + g + y*h and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 13*z + 8. Let j be h(-6). Let n(q) = -q**3 + 5*q**2 + 4*q + 8. Let b be n(3). Let s = b + j. What is the smallest common multiple of s and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18504, -7996, 2512, 13020, 23528?\n\"Answer: 10508*d - 29012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 63373, 0, -246?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 2 + (12 - 17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36 - 660*w + 380 + 186 wrt w?\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7011*o**2 + 1262*o.\nAnswer: -14022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 622.6016ml?\nAnswer: 0.6226016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.34 times 19.4\nAnswer: 45.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 35*r**2 + 1369*r + 1495. Determine t(-38).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -4. Let x be 138\/(-9) - 4\/6. Let c be x\/(-12)*(-6)\/(-4). Sort 3, w, c.\nAnswer: w, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18)\/27*(-366)\/4 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3759 = 13*r - 12235. List the prime factors of r.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l + 28*l - 46*l = 63. Solve -a + l*a = 120 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99*d*f - 8*d - 20*f - 27 wrt d.\nAnswer: 99*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) 0.2 (c) -0.2 (d) 979 (e) 4720\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14762, 29509, 44258, 59009?\nAnswer: 73762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1109, -520, 455, 1810, 3539, 5636, 8095?\n\"Answer: -w**3 + 199*w**2 - w - 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-4) + (-1 - -2). Let h(u) = u**3 - u**2 + u - 2. Let f be h(n). Suppose -d = f*d. Solve t + d = 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 10*c**2 + 8*c + 11. Let v be n(9). Let y = v + 2. Let h be (3 + (181 - y))*-2. Round h to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n - 7*n - 6*n. Let i(q) = -12*q**2 + q. Determine i(m(k)).\nAnswer: -48*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3076157 is divided by 1003?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, r: 5, c: 5, o: 1, b: 2}. Give prob of picking 1 c and 1 o.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404434 (base 11) to base 8.\nAnswer: -2365501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 10)*(-83*w**2 - 86*w**2 + 180*w**2) + (3 + 3*w - 3)*(0 - w + 0) in the form h + o*w**2 + n*w and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 0.5, -257\/5, 3, -22, 47 in increasing order.\nAnswer: -257\/5, -22, -3\/7, 0.5, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -16857137\nAnswer: -27\/16857137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (25 + -22 - -2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 242927040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 161621267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3223.\nAnswer: 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -5, 0.3, -1\/2, 71064, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(10) - (sqrt(160) + sqrt(160)*-1)) + ((-1 + sqrt(2))*5 + sqrt(10)\/(-1*sqrt(5)))**2)*-3.\nAnswer: -171 + 117*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62484?\nAnswer: 2, 3, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 409052?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1, 2.81601?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 742992, 743112, 743234, 743358, 743484, 743612, 743742?\n\"Answer: x**2 + 117*x + 742874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p. Let h(j) = -3*j**2 - 4*j. Let r(b) = 7*b**2 + 9*b. Let f(y) = 9*h(y) + 4*r(y). Determine f(o(z)).\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 - (224\/(-8))\/4. Let c(n) be the third derivative of n**6\/120 - 11*n**5\/60 - n**3\/6 + n**2. Let t be c(11). Sort v, -2, t in ascending order.\nAnswer: v, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5 + sqrt(32) - (-3 + sqrt(2)*-1)))**2.\nAnswer: -20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248106810 to the nearest integer?\nAnswer: 15751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 8)*(-6)\/12. What is the remainder when 131 is divided by (-4 - -5 - f\/2) + 19?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is -11 + (-3 + 2 - -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5004 - 2765. Suppose 1546 = -5*h - u. Let q = -452 - h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6523580249 to the power of 1\/3, to the nearest integer?\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.6324 to 1 decimal place.\nAnswer: 122.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxrzggc. What is prob of sequence gxz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2 - 2. Let r be 2*(-6)\/24*g. Suppose 6 + 0 = 2*q. Calculate the highest common divisor of r and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266768 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/11))**(-38)\/(l**4)**(-8) assuming l is positive.\nAnswer: l**(314\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -118\/1001?\nAnswer: -118\/1001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12 and 91\/4358090?\nAnswer: 26148540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2ad7d (base 15) to base 4\nAnswer: -201230323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.7 (c) -1 (d) 648\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from zzzll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 118256890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9173425153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1992+0.2\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020 is divided by 267?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2284 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5*-4)\/(30\/350*14)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 0, j - 2701 = -2*j + 5*x. Suppose 4*t + 12 = 0, 3*t + 235 = 2*n - j. Suppose -3*h = h - n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3984 and 944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15 + -8)*(-1)\/2. Let f = o + 2. Let t be (-1)\/(-7)*7\/6. What is the smallest value in t, f, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20772*b + 4 + 2 - 6.\nAnswer: 20772*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14865 - -24734. List the prime factors of t.\nAnswer: 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 1. Let p(b) = 26*b**2 + 8*b - 8. What is p(a) + 8*v(a)?\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23861105 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 5*a - 32, 0 = 2*g + g - 5*a + 29 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7988300 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 108*a + 2 + 72*a.\nAnswer: -36*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-195)\/(-130)*124\/12\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1865, -1856, -1823, -1754, -1637, -1460?\n\"Answer: 2*c**3 - 5*c - 1862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-75)\/(-4) - (-10)\/40. Suppose -15 = d - k. Suppose -d*i = -0*i - 16. Solve -2*a - 6 - i = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or 1631?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 655273 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (-2 - 12) + 25 + 9 + -13\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.097 - 2.607. Let d = -196 + 195.49. Let f = w - d. Which is the third smallest value? (a) f (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(2\/5))*c)\/(c*c*c\/(c\/(c*c\/(c*c**(2\/19)))*c))*(c**1)**(-43) assuming c is positive.\nAnswer: c**(-4208\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 0 + 3\/2*d - 3\/8*d**4 - 3\/8*d**3 + 3\/2*d**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-22) + (425663\/9537 - 45). Sort -3, 4, 1\/3, -1\/8, j in decreasing order.\nAnswer: 4, 1\/3, -1\/8, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 15*w + 6. Calculate a(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 438377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20123213 (base 4) to base 11.\nAnswer: 23a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -93070, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4296*g**2*s**3 - 4078*g**2 + 2244*g*s + 3941*s**3 wrt g.\nAnswer: 8592*s**3 - 8156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 16*p**2 + 2*p + 1. What is m(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 12*m. Let v(j) = 1821*j**2. What is a(v(h))?\nAnswer: 21852*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.953 + 0.047. What is the third smallest value in 0.3, -2, 0.1, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*z + 319 + 708 = 220 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.02 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) 19100 (c) -2\/35 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, m: 3, f: 2, h: 2}. What is prob of picking 2 f and 2 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 26*z**2 - 4*z - 2. Let r(m) = -5*m**2 - 4. Let o(w) = -q(w) - 5*r(w). Calculate o(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (1 - -2)) + (-38 + 25 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c - 11 = 0. Let r = -1 - 3. Let m(g) = -g**3 - 2*g**2 - g - 3. Let h be m(r). Calculate the highest common factor of c and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/24 + b**3\/6 - b**2. Let y(f) = 4*f - 2 - 3*f + f. Let z be (-16)\/(-2)*(-51)\/(-68). Determine z*y(n) + 11*o(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.8. Let f = -3763 - -3763.1. Let w = 13.2 + -11. Which is the nearest to y? (a) 4 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.78 - -10.78. What is the smallest value in c, 0.06, 2, 1.8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 36. Let t be (h + 1)\/(3*5\/(-15)). Factor -2\/9*w**2 + t - 10\/9*w**3 + 0*w - 8\/9*w**4.\nAnswer: -2*w**2*(w + 1)*(4*w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 6*a - 92. Suppose 9 = -2*f + a. Let v(b) = -b**2 + 5*b + 8. Calculate v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6622)\/602)\/((-2 - 1) + 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*x - 1020*x + 625*x + 53 - 51.\nAnswer: 130*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 593075269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 10*a - 75. Determine z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/21 (b) -3\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(153))*-3 - (-4 + (sqrt(17)*-3)**2).\nAnswer: -149 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 5*a = 3*o + 5205, -5*o = 3*a - 5205. Suppose 33 = -6*l + o. Calculate the greatest common factor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-3) - 0)\/2 + 21. Suppose -s*l = -182 - 28. Let t(d) = 2*d**2 + 4*d - 1. Let m be t(-4). Calculate the highest common factor of m and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960739?\nAnswer: 13, 263, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 3*l**2 + 0*l + 2*l + 15 - 5 - 3*l**3 to the form r*l**3 + t*l + h*l**2 + i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 279 = -10*y. Let z = 59 + y. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 0*s - 95 + 97 - s + 2*s**2 + 2*s. Let v be w(2). Suppose 10*d = v*d - 42. Calculate the greatest common factor of d and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2) + (2 - 1). Let u(z) be the first derivative of -z - z**2 - 3 - 2\/3*z**3 - 3\/4*z**4. Give u(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*a = 0. Suppose 0*d - 4*d - 12 = -4*f, -4*d - 14 = -5*f. Sort d, a, -5 in decreasing order.\nAnswer: a, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 4. Let x be 2\/(-5)*(-21 - -1). Let i be k(x). Suppose -i*d + g = 19, 3*d - g + 2*g + 9 = 0. Let o(a) = -a**2 + 4. Give o(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4590 divide 104248080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*o + 16, 0 = 3*o - a - 14 - 3. Suppose 11*v + o = 5*v. Let q be 81\/54*((-10)\/(-14) + v). What is the nearest to 3 in -2\/7, 11, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -16*g - 183. Let y be b(-12). Let t(j) = -j**3 + 10*j**2 - 11*j + 5. Determine t(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 9*c + 5. Let w be r(-5). Suppose -16 - 31 = -3*v + 2*o, 5*v - o - 90 = w. Let b be v + 0 + (5 + -6)*3. Solve 5*t = t - b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/(-2142) + 23\/(-51)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58851 divided by -39.\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**2 - 2*v + 4. What are the prime factors of h(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 20990*w - 5940162. Give a(283).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -12. Let t(c) = -c**3 - 6*c**2 - 3*c - 8. Let k be t(d). Let m be ((-5)\/2)\/((-5)\/k). What is the greatest common divisor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v. Let o(z) = -1215*z**2 - 2. Give b(o(q)).\nAnswer: -3645*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 43680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwpu when four letters picked without replacement from {p: 1, u: 2, w: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 304, 0, 15\/13, -6 in ascending order.\nAnswer: -6, -0.5, 0, 15\/13, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-6 - 18) + 12 - -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 3*v + 4. Let k be x(5). Let c be 64\/((-1)\/k*4). Let f = 49 - 37. What is the highest common factor of c and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b = 3*v + 34*b + 222, -4*b - 312 = 4*v. Suppose 5 = 7*h + 33. Put h, -1, v, 1 in decreasing order.\nAnswer: 1, -1, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnrnlrnwwilin. What is prob of picking 1 i and 1 n?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -4, 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*m + 6619 = -5*m, -2*b = -4*m - 13232. Let g = b - 4575. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2757238 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 9*f - 15 - 92 = -4*f, 0 = -5*h - f - f + 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 1415 + 4623. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, 0.3, 2, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)*2)\/sqrt(2) + 2*sqrt(52) - (5 + (sqrt(637) - (1*sqrt(637) + sqrt(637)))))**2.\nAnswer: -130*sqrt(13) + 2222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2159, 4317, 6475, 8633, 10791, 12949?\n\"Answer: 2158*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3358368 and 6210?\nAnswer: 16791840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4120847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -142, -427, -984, -1903, -3274, -5187, -7732?\nAnswer: -10999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(-3*sqrt(4)))\/(sqrt(8) - sqrt(800)*2 - sqrt(8)) - ((sqrt(72) - sqrt(72)*-3)*3*3 + 5)**2.\nAnswer: -93337 - 129599*sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3.5, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 127*m + 28 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20075 - 18800. What is the highest common factor of 9 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -256*j - 265 - 2*j**3 + 12 - 108 - 87 - 44*j**2 = 0.\nAnswer: -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -456, -1317, -2588, -4269?\n\"Answer: -205*a**2 - 246*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 7 (c) -0.051443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -31*w**2 - 247*w + 17. Calculate the remainder when -70*(-1 + (-2)\/(-4)) is divided by r(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-21\/4)*u**22\/u assuming u is positive.\nAnswer: u**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(198)*2 - sqrt(198)*-2)\/(-3*(sqrt(99) - -1*sqrt(99)) + sqrt(99)))**2.\nAnswer: 128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*sqrt(242)*-3 - 1*sqrt(242)*-1)**2 - ((sqrt(242) + -1)*2 + sqrt(242) + (-5*-1*sqrt(242) - sqrt(242) - sqrt(242) - sqrt(242) - sqrt(242)))).\nAnswer: -96808 + 176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -11 (c) -0.2 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z\/(z\/(z*z**(1\/4)\/z)))*z*z\/(z\/(z*z**(-6)))*z*z*z*z**(1\/3)*z*z*z**(2\/19) assuming z is positive.\nAnswer: z**(727\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000095 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2694 (base 12) to base 15.\nAnswer: -14a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 0)*3\/(-21). Suppose 2*k - 11 = -d, 14 = -d + 2*k + k. Let g be 4\/(-12)*-1*d. What is the closest to g in a, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 101619*z + 1 - 127272*z.\nAnswer: -228891*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {j: 8, x: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 6. Let v = -5298 + 5242. Which is the third smallest value? (a) 0.5 (b) 0 (c) k (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1339745 and 23\/535898?\nAnswer: 2679490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 570818.8 rounded to the nearest 100?\nAnswer: 570800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 234850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5 + 552*a**4 - 3732*a**3 - 9128*a**2 - 4842*a = 0.\nAnswer: -1, 0, 9, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -123, -115, -95, -57, 5, 97, 225?\n\"Answer: j**3 + j - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -153*-651275\nAnswer: 99645075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08688 and 9940.\nAnswer: 9939.91312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p + 116. Let u(q) = 2*q + 23. Let t(l) = h(l) - 5*u(l). Let m(g) = 9*g + 2. What is m(v) - 4*t(v)?\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-38)\/(-11) + 10 + (10 - 23)). Solve -8\/11*w**3 - n*w**2 + 4\/11*w + 0 + 6\/11*w**4 = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:01 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - -2.5. Which is the fourth smallest value? (a) u (b) -4\/7 (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1180575085 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u + 79. Calculate j(-42).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*h = -3*h - 1005, -h + 985 = -5*a. Let j be (a\/(-15))\/((-12)\/(-40)). Calculate the highest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41781854 or 0.4?\nAnswer: 41781854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlldllddllldldlldddl. What is prob of sequence dd?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4.5. Let g = 1 + j. Which is the biggest value? (a) g (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**2 - 2*m - 18. Let c(d) = 8*d - 9. Determine 9*b(f) - 2*c(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 + 580*c + 42050 = 0. What is c?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**3\/6 - 11*s. Let y(w) be the third derivative of -w**4\/6 - w**3\/3 - 9*w**2 + 2*w. What is y(g(o))?\nAnswer: 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l*l\/l**(-30)*l)\/l*l*l*l*l))\/l**(-17\/3) assuming l is positive.\nAnswer: l**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -10.8724298582\nAnswer: -22.8724298582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715414 to the power of 1\/2, to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -25. Let q = -6 + 6. Suppose 0*n + n + 5*s - 7 = q, -4*s = n - l. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m. Let h(s) = -22*s - 11. Let k(n) = h(n) - 8*l(n). Give k(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.005 + 56.995. Let z = 54.7 - t. What is z rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 704 = 0. Suppose -j + 262 = 3*v, v + m + 318 = 4*j. Suppose -72 + j = 4*f. What is the remainder when f is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**2 - 7*l + 13. Let j(q) = -16*q**2 + 11*q - 24. Let n(s) = -4*j(s) - 7*p(s). Let t(i) = -4*i - 4. Give 4*n(v) + 5*t(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27540 divided by -405.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11677*k**2 + 3*k + 2002 wrt k?\nAnswer: 23354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 258 - (1 - (-2 - -6)). Let x = -177 + c. Let w be (-2)\/((-4)\/2) - -11. What is the highest common divisor of x and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/9 and -169\/1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -175d2 - -164?\nAnswer: -1746c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64943*u - 125225*u - 156924*u - 132355*u.\nAnswer: -349561*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3320894*h + 8346 = -3320680*h for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 15*j**2 + 24*j - 182. Determine x(5).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72161740 to the power of 1\/2, to the nearest integer?\nAnswer: 8495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10386248*h**2 - 5193102*h**2 - 3*h - 5193147*h**2.\nAnswer: -h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-11.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9*(4 + 8\/(32\/(-10)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 plus 0.724?\nAnswer: -4.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 1586245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 13. Let a be v(5). Let u = 11 + a. Suppose u*j = -5*d + 1490, -2*d - 41 = -3*j - 637. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2.52 (b) -2 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 43 = 4*w, 2*w - 16 = w + 3*p. Suppose 16141 = -w*t - 3788. Is (-8)\/(-44) + t\/(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -41*i - 90. Give j(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*k + 13*k + 168*k + 40*k.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21338.\nAnswer: 2, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {r: 4, e: 2, x: 1, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 140 = -g. Find y such that 3*y - 28 - 3*y**3 + g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u + 5*u + 0*u)*(2*u - u + 2*u + 2) to i + b*u**2 + m*u and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/5))\/(h\/(h*h\/(h\/h**(-10\/3)))) assuming h is positive.\nAnswer: h**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*q - 80 = 0, n - 1765 = -3*q - 1715 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -796.61696 rounded to 1 dp?\nAnswer: -796.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -57 + 401. Let r = y - 76. Suppose -176 - 24 = -r*g. What is the greatest common divisor of g and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13*z - 23*z + 12*z. Let b(l) = 630*l**2. Let i(g) = -37*g**2. Let j(w) = 2*b(w) + 35*i(w). Determine j(o(u)).\nAnswer: -140*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 875 = 4*y. Let w = -379 - -633. Let j = y + w. What is the remainder when j is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 154, 526, 1122, 1948, 3010, 4314, 5866?\n\"Answer: x**3 + 106*x**2 + 47*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 483 = y, -3*y = d - 0*y + 169. Does 14 divide d\/15*30\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18917 is divided by 321.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, d: 1, k: 2, s: 1}. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122202110221220120 - 12?\nAnswer: -2122202110221220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77452 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40412237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5367900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 = 2*z. Is (-10)\/z - 2494\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -111*u. Let x(g) = -42*g. Give b(x(c)).\nAnswer: 4662*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r + 3. Let p be m(-3). Let z = p + -14. Sort 5, z, -3 in increasing order.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -353. Let d = r + 283.616. Let i = d - 0.016. What is i rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i - 12*i - 4 + 21 - 18*i. Let p(c) = c - 1. Let m(d) = -l(d) - 6*p(d). List the prime factors of m(9).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*n - 32, -2*x + 22 = -n - n. Let o be (-986)\/(-8) + (-30)\/(-40). Let b = o - x. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1036057 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {t: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*s**3 - 21*s**3 - 4*s**3)*(3*s + 3 - 3)*(0 + 0 + 2) to the form l*s**2 + d*s**4 + a*s + g*s**3 + x and give d.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 23*j - 5 = 0. Let z(p) = -6*p + 10*p - j*p. Let f(w) = 2*w. Calculate z(f(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {h: 6, o: 2, r: 1, i: 3, p: 1, n: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 3, y: 3, x: 1, v: 2, w: 1}. What is prob of sequence xv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**4\/4 + w**3 - w**2 + 2*w + 1. Calculate b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200 + -110. Let f = 126 - b. Suppose -1 = -2*x - 3*t + 26, -58 = -5*x + 2*t. What is the highest common factor of x and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -z + 4*b, -5436 + 5416 = -3*z + 5*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(117\/(-981))*(-21)\/((-588)\/(-28))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -234.532 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2907641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035 is divided by 118?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605*i**5 - 2645445*i**4 + 160705455*i**3 + 223014485*i**2 + 65094840*i + 5431860 = 0. Calculate i.\nAnswer: -1, -2\/11, 63, 4311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -1848 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4, -21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyymyyy.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10075 (base 8) to base 3.\nAnswer: 12200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4\/5, -9, 2\/11, 348.8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13984560.\nAnswer: 2, 3, 5, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (2 + -1)) + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1414 - 0.10696. What is n rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -0.09, 2\/2143, 2\/9, 5 in descending order.\nAnswer: 5, 5\/4, 2\/9, 2\/2143, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + c - 396. Let n = c + 573. Suppose 3*i + 5*z - n = 2*z, -196 = -4*i + 4*z. Calculate the remainder when i is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**2 - 3*p**2 + 12*p**2. Let u(o) = 11*o - 4. Let t(y) = 10*y - 3. Let s(m) = 4*t(m) - 3*u(m). What is q(s(x))?\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 2*r**2 + 1. Let k(f) = -147*f**3 + 9*f**2 - 10. Give -5*h(d) - k(d).\nAnswer: 157*d**3 + d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.266 - -0.134. Let v = -40 - -24. Let i = v - -15. Which is the closest to 0.01? (a) 1\/3 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v + 3. Suppose -5*k + r = 17, -4*r + 8 + 9 = -3*k. Determine y(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + (sqrt(204) - -5*sqrt(204)) - sqrt(204) - sqrt(204) - sqrt(204)))*5)\/sqrt(12).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a. Let z(t) = -12*t. Let p(y) = -y**3 + 18*y**2 - 30*y - 27. Let r be p(16). Calculate r*z(k) + 21*f(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 = 33. Let j(w) = 10*w**2 - 20*w + 5. Is j(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -959*-14006.\nAnswer: 13431754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3648*x - 3642*x - 324. Solve -8 = x*d - 52*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 275698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = r - 0*r + 2, -r - 2 = -2*q. Solve 5*h - 2 - 3 = 3*o, -3*h + 3*o + 9 = q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.26 + -16.74. Let p = -16.6 - d. What is the second biggest value in 3, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/((-27)\/(-2))*-6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 + 21. Let d = f + 66.3. What is the nearest to d in -1, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22168, 21412, 20130, 18322, 15988, 13128?\n\"Answer: -263*i**2 + 33*i + 22398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + 114. Suppose 0 = -290*w + 7489 + 5310 + 3731. What is the remainder when x is divided by w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: 124440 (base 5) to base 2\nAnswer: 1001110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*s - 24, 4*s + 9*y - 4*y - 36 = 0. Suppose 26 = s*d + q, 5*q + 8 = d - 9. Suppose 0 = 4*j - d*j + 771. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o = 64*o - 3190. Solve 0 = o*n - 118*n - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10282*t + 273*t + 1260105 = 9073*t - 2717*t for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 120 = -16*b. Let o = 4 - 3. Is (3 + b\/(-8))*o*674 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-94452)\/18057*65\/(-8).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eekk when four letters picked without replacement from eeeeeeeekeeeeeekeee?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 757*c**2 - 98299*c - 1236. Determine m(113).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tteom. What is prob of sequence et?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (8 - (17 + -8)) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24088 - 11841. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -17, -2 in ascending order.\nAnswer: -17, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 3*j**5\/4 - 15*j**2 + j. Let z(a) = 4*a**2. Calculate i(z(d)).\nAnswer: 720*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/4 + 29*x**3\/4 + 127*x**2\/4 + 163*x\/4 + 33\/2.\nAnswer: -(x - 33)*(x + 1)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w + 25*w - 1840. Calculate the greatest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6) + 85 + -83 - -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1320600985 + 0.0691.\nAnswer: -1320600984.9309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 3959050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 12071, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 21. Let o(q) be the second derivative of q**2\/2 - 43*q + 3. Calculate -5*m(b) + 105*o(b).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 8) to base 5\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 8383.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 10:54 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (1 - (18 - -36))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*y**3 + 1)*(-y + 0*y + 3*y) + 2*y**4 + 2*y**4 - 2*y**4)*(1118 + 2247 + 1373 + 398).\nAnswer: -10272*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 + 7*h. Suppose 4*d - 5 + 1 = 0. Let v(w) = 1 + w**2 + 2*w - d. Let o(i) = -4*c(i) + 14*v(i). Let n(t) = 2*t. Calculate o(n(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 56.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -992530091.607 and 0.4.\nAnswer: -992530091.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 619.2279525?\nAnswer: -618.2279525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.2? (a) -16\/59 (b) 1\/3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1425765\nAnswer: 2\/1425765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 4*c + 4*c + 8344 + 4*c.\nAnswer: c + 8344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2983 + -2982. Let y be (0 + -58)*(-3)\/6. Calculate the lowest common multiple of x - (3 + (-3 - y)) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2. Let s(n) = 1. Let o(t) = t - 1. Let x(m) = -o(m) - s(m). Calculate g(x(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3. Let o = m + 1. Let j(a) = -4 - a**o + 0 + 6*a - 1. What is j(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*a**6 + 422*a**2 wrt a?\nAnswer: -3840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 6 - (-15)\/(0 + -3). Suppose -c*i + 24*a + 27 = 27*a, 0 = i + 5*a - 25. What is the remainder when 43 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*o**2 - 174 + 174)*(0 - o + 0)*(-3*o + 21 - 21) to z*o + b*o**3 + l*o**2 + m*o**4 + p and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 44*w + 47*w - 25, -4*w - 44 = 3*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 7 = 32 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 33369 - 33027 = 0 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - b82636?\nAnswer: -b82636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 60*p + 3*p - 11*p - 3237 = 0 for p.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*o + 66*o + 76*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 98, 377, 840, 1487, 2318, 3333, 4532?\n\"Answer: 92*y**2 + 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 + 4*v. Let s be 3 + (0\/1)\/(-1). Let n be c(s). Calculate the greatest common factor of n and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -6, 5, 1, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m = -2*g + 116, 82 = g - 4*m. Let r(j) = -j**3 + 6*j**2. Let u be r(6). Suppose u = n - 3*n + g. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 69. Suppose -2*r + v = 2*k, 5*k - 4*r - 178 - 18 = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100 - -1100?\nAnswer: 1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64 times -2.02366\nAnswer: -129.51424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*m + 0 + 2 = 0, -5*o = -3*m. Let n = -159 - -165. Suppose o*a = 24 + n. Solve -x - 4*x = a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3 = -3. Suppose 2 - 14 = -2*s - 2*p, -4*s - p + 12 = q. Solve 7*y = -x + 2*y + 15, 3*x + 7 = -s*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 302, 27, 0, -1, -16.\nAnswer: -16, -1, 0, 1, 5, 27, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/7)*n*n)\/(n\/(n**(-3)\/n*n))*n**(3\/2)\/(n\/(n*n\/n**(1\/3))) assuming n is positive.\nAnswer: n**(55\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 + 29*j - 3. Let r(f) = f. Let g(m) = 4*r(m) + s(m). Calculate the lowest common multiple of 27 and g(6).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 b, and 1 d when four letters picked without replacement from {b: 1, u: 2, l: 5, v: 1, n: 2, d: 2}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-120))\/(5\/(-10)). Which is the second biggest value? (a) 0.18 (b) 1 (c) 2\/43 (d) 4 (e) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.673707l to millilitres.\nAnswer: 673.707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - n**3 + (-3*n**2 + 4*n**2 + 0*n**2)*(-n + 3*n + 0*n) + (2*n - 8*n - 10*n)*(-2*n**2 + 2*n**2 - 3*n**2) to r*n**2 + a*n**3 + o + p*n and give a.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.421 + 3.589. Let f = k + -0.01. Suppose 3*h + 18 = -3*a + h, -3*a + 4*h = 0. What is the third smallest value in a, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(1 + 25\/(-15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4878 + 4845. What is the third smallest value in 6, a, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 162\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 601738.3nm in kilometers?\nAnswer: 0.0000006017383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2 = -2*x, 14*x - 2*t = 10*x - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1\/61, 1\/6 in descending order.\nAnswer: 2\/3, 1\/6, 1\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k**4 - 9\/5*k**5 + 0*k**2 + 0*k - 5\/3*k**3 - 3. Find the third derivative of b(d) wrt d.\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 11, 5\/3, 0.5, 4, -12, 8\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31724.\nAnswer: 2, 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 - 5*c**4 + 3*c**4 - 17*c - 3 + 19*c as y*c**3 + a + i*c**2 + x*c**4 + r*c and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3\/7 (b) -165 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518991 and 121209?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**3\/3 - u**2 - 6*u - 547. Give p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492874*h - 12*h**2 + 492874*h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 7. Let n = -0.311469 - -2.311469. Which is the fourth biggest value? (a) n (b) 1\/6 (c) z (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 + 0 + 0. Let s(h) = 8*h**2 + 3*h + 1. Let a be s(-3). Suppose x*g - a = -4. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 - 41123951?\nAnswer: -41124401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:09 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q\/q**39*q*q*q*q)))\/(q\/((q*(q*q**(2\/5)*q)\/q)\/q)))**(4\/3))**(39\/4) assuming q is positive.\nAnswer: q**(-2184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 27. Suppose f = 5*l - 83, 64 = v*l - 0*f - 2*f. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 6*z**2 - 7*z + 6. Let v be o(9). Let i be v\/(-21) - (-4)\/(-14). List the prime factors of 4\/i - 165\/(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171580?\nAnswer: 2, 5, 58579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311080?\nAnswer: 2, 5, 73, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-58)\/290 - (-516)\/5 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 6*m - 10*m. What is the remainder when 58 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 20 = 8*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 182490010.6 rounded to the nearest 1000?\nAnswer: 182490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 2*g**3 - 73*g**2 - 100*g - 1076. Factor x(a).\nAnswer: 2*(a - 25)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*x - 382*x - 43*x - 5 - 212*x.\nAnswer: -700*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -2\/5, -50\/27 in increasing order.\nAnswer: -50\/27, -3\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 6*a + 1. Let o be i(-5). Let u be 14\/o - (-8)\/(-24). Solve m = -m + u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95.1 + -109. Which is the biggest value? (a) r (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g + 64. Let b = g + -61. Suppose -5*v + 2*s - b*s = -235, 143 = 3*v + s. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3))\/sqrt(12) - ((sqrt(4)\/sqrt(2))**2 + -5).\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a2c052c + 1?\nAnswer: -a2c052b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 2004*g + 334668.\nAnswer: 3*(g + 334)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 bigger than 16\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 2*b - 11. Let w be k(4). Let v be 2\/8 + (-2)\/8. Solve 3*h + 4*g + 0*g + w = v, -3*h + 2*g + 11 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2940 and 163\/16770?\nAnswer: 1643460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2691*k**2 + 65*k + 53. Is z(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-25))\/(12\/(-10) - -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 2*v. Suppose -4 = 3*d - v*d. Suppose 8*t = d*t + 348. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*m + 1138*m - 394*m - 383*m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 16) to base 6.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 14\/16 - (-2)\/16. Suppose -4*w - r = 23, 0 = -2*w - 3*w + f*r - 34. Is w greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h**2 - 3*h + 1. Let c be j(4). Let q = -273\/4 + c. Factor 0*n + 1\/4*n**5 + 3\/4*n**3 + 0 + q*n**4 + 1\/4*n**2.\nAnswer: n**2*(n + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45298 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 55991115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892 (base 10) to base 13.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2184 and -2665?\nAnswer: -582.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 10) in base 14?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.180000612 + 7.18. What is i rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -172b - -30a?\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419101309 or 419101308?\nAnswer: 419101308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2420)\/1056*(-6)\/30*4?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 + 106. Let m(j) = -11*j**3 + 10*j**3 - 7*j**2 + 6 + 13*j - a*j. Calculate m(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.03561 plus -67?\nAnswer: -59.96439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-54)*-2*(-20)\/(-40)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 216*a**2 + 7*a + 6*a - 6*a - 7*a as u*a**2 + c + s*a and give u.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxcxcfcxxfcxccxcc. Give prob of sequence fx.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 4:59 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 126312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i - 34. Let v be j(-5). Is 5 a factor of (363\/v + -2)*(-8)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 56. Suppose 0*q + 6*q = y. Let o = 2 + -2. Solve o*t - 16 = q*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let u(r) = 2*r - 3. Determine -5*b(j) - 3*u(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56322881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 89*h + 15 - h**2 - 89*h. Let c be r(0). Solve -3*q = 3*k + c, -k - k - q = 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1359.999997149 + 1360. Round i to 7 decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -448?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2707224\/5 - -541445. Determine z so that 0*z - u*z**5 + 0*z**2 + 0 + 0*z**3 + 0*z**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 6*t + 366, 357*b - 363*b + 3*t = 183 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2 + 13*f - 7*f + 7. Let m be v(-7). Let c be (3 - m) + 9\/(-3). What is the greatest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/217)\/((-33)\/(-5467))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - r + 7 = 0, 3*r = -r + 4. Suppose -100 = f*c - 3*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*s*w - 19*s + 1582*w wrt s?\nAnswer: 60*w - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270691 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -484 divided by 4.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36, 67, 96, 123?\n\"Answer: -k**2 + 34*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 + 111.69. Let l = o - 2.69. Put 0.2, -1, l, 7 in descending order.\nAnswer: 7, 0.2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 49.0000072. What is b rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36.7 - -31. Round c to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -299625 + 150471. What are the prime factors of h?\nAnswer: 24859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/65*(-130)\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186696 divided by 3.\nAnswer: 62232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 71*l**3 + 6*l**2 - 4*l + 7. Let q(s) = -38*s**3 - 3*s**2 + 2*s - 4. Calculate -7*q(g) - 4*r(g).\nAnswer: -18*g**3 - 3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.23 (b) 0.3 (c) -1\/4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4\/4 + 777*y**3\/4 + 24189*y**2\/4 + 23415*y\/4 = 0. Calculate y.\nAnswer: -223, -35, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 2\/(18\/465). Let y = -54 - r. What is the nearest to y in -2, -3\/2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56887 is divided by 16561.\nAnswer: 7204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-9)\/(-6))*-12. Let r be 27\/(-12)*v\/3. Let t be ((-8)\/r)\/((-2)\/(-3)). Calculate the highest common divisor of t and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = 2*g. Suppose g = -0*x - 2*x. Let w(y) = -5*y**3 - 9*y**2 + 9*y. Let r(d) = -d**3 - 2*d**2 + 2*d. Give x*w(a) + 9*r(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*w - 16 = -7*q, -3*w = 12. Suppose s - 3 = 2*f - 6, s + 7 = 3*f. Suppose -19 = -s*v + q. Solve v = -3*m + 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-2*sqrt(105))\/sqrt(5))\/(1*sqrt(112)*2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.4 (b) 0.07 (c) -1026 (d) 1 (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - 4*a + 2. Let j be v(2). Sort 1\/11, j, -5 in descending order.\nAnswer: 1\/11, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1037, -0.3, -17, 7\/5, -2 in decreasing order.\nAnswer: 7\/5, -0.3, -2, -17, -1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 take away 57.98942332?\nAnswer: -11.98942332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134211768.\nAnswer: 2, 141776471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 - 79. List the prime factors of i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - 0) - -1 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 24*l + 47. Let u be k(-22). Suppose -q + 2*w + 17 = 0, q - w + 9 = u*q. Solve -q = -x - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 1, e: 1}. Give prob of picking 1 e and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1078\/110 - -12.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 101. Let d(t) = t + 100. Determine 5*d(g) + 4*y(g).\nAnswer: g + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12839 + -12832. Let r(n) = -2*n + 6. Let a(h) = -h + 4. Determine s*a(p) - 5*r(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13\/118, -793.75 in descending order.\nAnswer: 5, 13\/118, -793.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 plus 2402.1?\nAnswer: 2939.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 678184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1.3. Let n = -0.2 + l. Let k be ((-4)\/6 - 0)\/(24\/(-18)). Sort k, n, -2\/9 in decreasing order.\nAnswer: k, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r, 3*r = -4*z + 8*r + 290. Let i = 9 - -20. Calculate the remainder when -1 + (z + 8)\/((-1)\/(-1)) is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 8*j**5 - 142\/7*j**4 - 38\/7*j**2 - 4\/7*j - 120\/7*j**3 = 0. What is j?\nAnswer: -1, -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1330468982 to the nearest integer?\nAnswer: 36476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/99 and -2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110115 is divided by 13763.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3533.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:23 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.69 * 1390.\nAnswer: -14859.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2 + 0))\/((-2)\/(-4)). Which is the fourth smallest value? (a) -1.5 (b) k (c) -1\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -1ae97780?\nAnswer: 1ae9777e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((456\/(-16))\/(-19))\/9. What is the nearest to -3 in 0.2, 72, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qagtdadqaq. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.9589 milligrams in kilograms?\nAnswer: 0.0000269589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46198288 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 75*g**2 - 9*g + 82*g**2 - 1 wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 108*d**2 + 2863*d + 381. Determine z(-130).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from efrgg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*d - 24861 + 24883, 5*x + 3*d - 10 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011010100 + -101?\nAnswer: -100011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 306 - -135. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68486594 + 120\nAnswer: 68486714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1232.969 - 1316.62. What is g rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(3*g - 31*g + 15*g)*(g + 1 - 1).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81899*v**2*y**2 + 2*v**2*y - 3*v**2 + 18*v*y**3 + v*y**2 + 1827*v*y - 2*y wrt y.\nAnswer: 163798*v**2 + 108*v*y + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/2, -5, -10, -15\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -26906*x. Let l(p) = 8*p. Give l(v(q)).\nAnswer: -215248*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 771284.189 rounded to the nearest ten?\nAnswer: 771280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3332 + -4134. Is w greater than or equal to -803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7630420615 to the power of 1\/3, to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 810913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-6))\/((-85)\/(-37740)) is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -134*w + 677. Let b be r(5). Solve -b*z - 45 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2317, -3146, -3953, -4726, -5453?\nAnswer: -6122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -567, -1279, -2303, -3657, -5359?\nAnswer: -7427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-6)\/1))\/(((-416)\/13)\/8).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 1. Let n(o) = -6*o + 3. Let i(j) = b(j) - n(j). Let x(s) = 7*s - 3. Let a(d) = 3*i(d) - 2*x(d). What is a(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/25*5*15\/27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - c + 2*c)*(3*c - 3*c + 2*c**2) + (8*c**2 - 8*c**2 + c**3)*(5 - 4 - 7) to the form q*c**2 + j*c**3 + l*c + v and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 284.7?\nAnswer: 284.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 147*b**2 + 1345*b - 133. Give d(9).\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184.3389 - -193.343. Let y = -0.0537 + -8.9463. Let c = y + g. What is c rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**3 + 580*c**2 + 1148*c + 572 = 0.\nAnswer: -143, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 147741, 590933, 1329579, 2363673, 3693209?\n\"Answer: -o**3 + 147733*o**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012231223 (base 4) in base 14?\nAnswer: -777ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119500 and 95600?\nAnswer: 478000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2.8, 0.151.\nAnswer: -2, 0.151, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3834 and 4267242.\nAnswer: 4267242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1327*d + 28. What are the prime factors of p(1)?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/210 + 4*r**5\/105 - 2*r**4\/21 - r**2 - 38*r. Find k, given that f(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 157428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1))**(2\/7)\/(t**(3\/4)\/t**(-6\/5)))\/(t**(-6\/11)*t**(1\/3))**(1\/6) assuming t is positive.\nAnswer: t**(-3791\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 - 3*n + 3*n + (7*n**5 - 4*n**5 + 2*n**5)*(-48 - 5 + 7).\nAnswer: -231*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4 - (-3 + 18)) + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -132753 divided by 17\nAnswer: -7809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.03, -1\/4, 214?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69455 is divided by 266?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.141443 millilitres in litres?\nAnswer: 0.008141443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**4 - 5*x**4 - 2*x**4 + (-2*x**3 + 3*x**3 + x**3)*(-3*x + 2*x + 0*x) + x**4 + 0*x**4 - 3*x**4 + 0*x + x**4 + 0*x + 6*x**2 - 3*x**2 - 2*x**4 - 4*x**2.\nAnswer: -7*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let w(x) = -x + 1512*x**3 - 6 + 5 + x**2 - 1514*x**3. Let h(v) = v + 5. Let m be h(-6). What is m*w(p) + k(p)?\nAnswer: 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 12, 0, -0.3, 2149 in descending order.\nAnswer: 2149, 12, 0, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 43*m. Let i(r) = -28*r**2. Determine z(i(w)).\nAnswer: -1568*w**4 + 1204*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 7397*x + 3701*x - 9*x**3 + 3696*x as t*x + k + g*x**2 + u*x**3 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from jtjtqjttjtjtttttttqt.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 - ((-143)\/30 - -5). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42605*y**2 - 34595*y.\nAnswer: -85210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p\/((p**(-9)*p)\/p*p))**(-2\/61)\/((p**(-1))**(4\/13)\/(p**(4\/5)*p**1\/p)) assuming p is positive.\nAnswer: p**(3222\/3965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 48.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165 + 236 - 259)*(-5 + 2 + 2)*(0 + 0 + 6*z).\nAnswer: -852*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*t + 1)*(50*t - 5*t - t) + (-2 + 3 + 1)*(1 - 1 - 3*t**2) - 4*t**2 + 3 - 3 as d*t + h*t**2 + a and give h.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 4. Suppose -15*y + 11*y = -12. Suppose -2*k = -s - y, 4*s + 2 = 3*k - 5. Which is the nearest to x? (a) -2 (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 27. Suppose o = -3*a + j + 3*j + 34, -j + 72 = 5*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120001200100000 - 1?\nAnswer: -120001200100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {t: 5, a: 4, w: 6}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/47*63\/(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*p + 427*p + 168 - 24 = 5*b, 96 = 3*p + 3*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + 64. Calculate the highest common factor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*a + 10 + 50, 0 = -5*s - 2*a + 60. Suppose s*z - 10*z - 58 = 0. What is the greatest common divisor of z and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222110 - -2?\nAnswer: 222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 1. Let h(o) = 6*o**2 + o - 2. What is the lowest common multiple of 2 and h(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {c: 2, t: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 3*h - 3. Let y be i(3). Suppose 2*s + 5 - 11 = 5*k, 0 = -k + s. What is the second biggest value in y, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + (-5)\/((-1190)\/259) and -57\/2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 13*d = -144. Suppose 0 = 2*u - 64 + 16. Calculate the greatest common divisor of u and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2 + 956*l + 5772 = 0.\nAnswer: -6, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/7150 and -173\/489450?\nAnswer: 5383950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 69.4. What is the nearest to 0 in -27, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8345940.\nAnswer: 2, 3, 5, 19, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 1 + 5. Solve 4*u - 15 = b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -252 - -373. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494*q = -482*q - 4452000. Let b = q - 1002000. What is b rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4295634 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9. Suppose f*b + 3*b = 48. Calculate the greatest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 31*p**2 + 130*p + 2. Let t be m(-5). Solve 7 = k + t*s, k + 0*k - 2*s + 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329128.\nAnswer: 2, 41141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*d - 53, -g - g - 123 = 5*d. Let i be (-160)\/d - 6 - 113\/(-5). Which is smaller: i or 26?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 6*n**3 + 0 + 3*n**3 + 6*n**3 - 18*n**3 to s*n**3 + d*n**2 + k*n + m and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 60. Let z = l - 5. What is the tens digit of (-272)\/(-28) + 2\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(1 + -2) + 2. Suppose 169 = 5*x + 3*x + 145. What is the second derivative of x*m - 7*m - 363*m**2 + 363*m**2 - j*m**3 wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 2. Let u = 206 - q. Suppose 0*f = -3*f + u. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = v - 0. Let y = 8 - v. Solve y = -2*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 385\/75 + 14\/(-105). Suppose -8*f + 9 = 3*a - s*f, 3*a = f + 5. Solve 0 = a*o + 3*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004884529 to six decimal places.\nAnswer: 0.000488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 13*n**7\/42 - 11*n**4\/4 + 92*n - 165. Let o(x) be the first derivative of f(x). Find the third derivative of o(d) wrt d.\nAnswer: 780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1751*g**6 - 243*g**4 + g**3 + 130161*g**2?\nAnswer: 210120*g**3 - 5832*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 802 - 292 - 297 - 6*p - 259. Give c(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i. Let o(h) be the second derivative of -5*h**4\/24 + h**2 + 2*h. Let x(t) be the first derivative of o(t). Determine a(x(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 5*y - 7. Let h(j) = -j**2 - 11*j + 4. Let o be h(-11). Suppose p - 2*m - m - 15 = 0, -o*p - 3*m + 15 = 0. Determine a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124177.41 rounded to the nearest one thousand?\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21211013020 + -10?\nAnswer: -21211013030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 5. Let f be 11\/2 - (-2)\/(-4). Suppose 2*b - 3*h = f, 0*b - 2*b - 5*h = 19. Is b smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -375, -293, -147, 69, 361, 735, 1197, 1753?\n\"Answer: f**3 + 26*f**2 - 3*f - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10291320 to the nearest integer?\nAnswer: 3208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460.13 times -4018?\nAnswer: -5866802.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2056557881.1959 + 4\nAnswer: 2056557885.1959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-60 - -55 - (-8 - (3 + -9))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gugdduggdgulgt. Give prob of sequence lggu.\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*(-32)\/(-8). Let x = z + 2. Let i(q) = -q**3 + 5*q**2 - 3*q + 6. What is the least common multiple of i(x) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -188, -29, 1\/4, -22\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 447 - 6*a + 19 + 73 + 219 to the form d*a + q and give q.\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 4. Let h be 5\/((-10)\/(-38)) - 2. Let a be z(h). Do a and -29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**6)\/w)**(2\/95)\/(w*w**(-5)\/w)**(-12) assuming w is positive.\nAnswer: w**(-5688\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let o = 15 + -11. Suppose 0 = -2*g - g - 5*n + 2, g - 3*n - 10 = 0. Let j(f) = f**2 - 6*f**2 + g*f**2 + o*f**2. What is j(s(l))?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 554621 to the power of 1\/2, to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8485 or -8384?\nAnswer: -8485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/6))**(22\/9)\/((u*u*u**(-8)\/u)\/(((u*u**(-7))\/u)\/u)) assuming u is positive.\nAnswer: u**(-16\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9080175 - 0.908. What is v rounded to seven dps?\nAnswer: 0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-10) - 0) + 0. Let v = 2 - 2. Let m = 8.35 - -0.65. Sort s, v, m.\nAnswer: s, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y + 61*y - 176 = 0. Let t = y - 43. Calculate the highest common factor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*b - 66 = -370*b + 724*b. Factor -14\/15*f**4 - 32\/15*f - 10\/3*f**2 - 2\/15*f**5 - 38\/15*f**b - 8\/15.\nAnswer: -2*(f + 1)**3*(f + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 6. Let i = n - 16. Let g = i + -13. Solve 7 = -j - g*b, -5*j + 6*b = 4*b + 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4005 + 4.4005. Which is the third smallest value? (a) -3 (b) 1\/73 (c) -1\/8 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1510016188.\nAnswer: 2, 47, 8032001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - -1022?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144.82 + -143. Let v = d - -175.18. Let m = v + -177.00000194. What is m rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {q: 9, b: 2, k: 1, v: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036779 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (242*g - 242*g + 38*g**3)*(-14*g + 41*g + 51*g) - 4*g**4 + 3*g + 2*g**4 - g to f*g**3 + b*g + t*g**2 + u*g**4 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -220 + 35. Let p = 197 + b. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*n - 348*n - 221 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3922417 and 0.14.\nAnswer: -549138.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 + (-3 - -5)\/(-2). Suppose -3*j - 66 = -m. Let s = j + 24. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46955017.\nAnswer: 46955017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1084230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 75*m**2 - 92*m + 188. Let l be i(-75). What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115 a factor of 190751308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - 8*o**2 - 5*o + 11. Let l be b(-8). List the prime factors of l\/20 - (-3)\/12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 7*v**2 - v**2)*(v**2 - 2*v + 2*v) - 2*v**4 - 2*v**4 + 3*v**4 + (65*v**3 - 29*v**3 - 31*v**3)*(0 - 3 - 5*v + 9*v).\nAnswer: 12*v**4 - 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027193?\nAnswer: 53, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 0)**2*5 + -3*(sqrt(1377) + -1)**2 - (-1*(1 + sqrt(1377)) + (sqrt(1377) - (sqrt(1377) - sqrt(1377)*2)*-6)**2).\nAnswer: -31673 + 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -t + 4*u, 5*t - 296 = t + 5*u. Calculate the remainder when t is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 498. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 513300, 513301, 513300, 513297?\n\"Answer: -a**2 + 4*a + 513297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -84890, 5 in descending order.\nAnswer: 5, 3, -84890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7588)\/(-212464) - (839\/(-28) - -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.39 times 3.2?\nAnswer: 23.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5 + (-41)\/(-5). Suppose -4*i - 5 = -37. Calculate the highest common divisor of i and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 14*b**2 - 16*b + 16. Let s be 13\/(-6)*3*2. List the prime factors of k(s).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*d - 23, 0 = -w - 2*d - 0*d + 12. Suppose -w*n - 2*n = 252. Round n to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*20\/(-105) - (-4)\/14\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from izzzzii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38840756?\nAnswer: 2, 1051, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-1 + 0)\/(-1)). Let s be (-6)\/(-21) - l\/(-42). Let x = -88 + 791\/9. Which is the second biggest value? (a) x (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 48\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 203719601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49038194 < 49038159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -55. What is the least common multiple of 3 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18794755 rounded to the nearest ten thousand?\nAnswer: -18790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -3\/2*l**2 + 0*l - 3. Let u(n) be the third derivative of -n**4\/12 + 6*n**2. What is g(u(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/138, 0, -100 in decreasing order.\nAnswer: 1\/138, 0, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 3, 4*y + 4*u - 12 = 0. Let n be y\/(-3) - (-55)\/15. Suppose 5*s - 12 = n*s. List 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 the value of -3 - 3 - (-1 - (0 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2649 - -2665. Calculate the greatest common divisor of 74 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 3 (c) -2771\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -4.6603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/29280 and -71\/976.\nAnswer: 29280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + 560. What is the greatest common factor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7*-6)\/(-4 + (-13810)\/(-785)). Let c = 1\/1067 - u. Let r = -712\/55 + 28\/11. Calculate the common denominator of r and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001844214982 to seven dps.\nAnswer: 0.0000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7544637 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + -10)*1\/(-4). Are v and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4235411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/14787909 and 62\/26163.\nAnswer: 133091181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 - 25*l - 4. What is the lowest common multiple of 26 and u(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -622, -603, -574, -541, -510, -487, -478?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from bcukxekc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 23 = 7*r + n, -r - n = -7. List the prime factors of r + (-1)\/(2\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -205 in 1.1, -1.1, -2\/11?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = h - 3. Let n be ((-12)\/(-14))\/(h\/14). Let d = -3 + n. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667989279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 10*g - 3 - 2*g**2 - 18*g. Let d(a) = -22*a**2 - 34*a - 34. Determine -6*d(w) + 68*o(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 6*v**2 - 7*v + 3. Let l be k(7). Suppose l*t - 60 = -0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1810300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*d**5 - 4*d**3 + 244*d.\nAnswer: -620*d**3 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 5, 0.094 in descending order.\nAnswer: 5, 0.094, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*x + 194 = x, v + 5*x = -44. Is (-1188)\/(-52) + (-6)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -57. Suppose -x + r = -22, 24 = -3*x - u*r + 120. What is the least common multiple of x and (-4 + 4 + -2)*-6?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-156)*4\/((-144)\/(-78))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 3 + 6*b + 0*b. Let n be j(0). Let h be (4\/(-6))\/(n\/(18\/4)). Is h <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37 - 32055?\nAnswer: -3201d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3189807.56 rounded to the nearest one thousand?\nAnswer: 3190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h - 3. What is the remainder when 206 is divided by m(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/3)\/(-2 + -1 - 5546\/(-1770)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 16 = 4*c, -4*c - f = -22 + 38 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 650477728 to the power of 1\/3, to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, and 1 g when three letters picked without replacement from {g: 1, m: 1, o: 2, j: 1, t: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*p - 1)*(-3*p**4 + 3*p**4 + p**4) - 2*p**5 + 8*p**2 - 8*p**2 - 2*p**2 + 2*p**2 - 2*p**5 + (2*p**2 + 2*p**2 - 2*p**2)*(0*p**3 - 3*p**3 + 2*p**3).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 641 + -590?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**2 - 57*x + 21. Let z(h) = h**2 - 11*h + 4. Let m(j) = -4*t(j) + 21*z(j). Factor m(w).\nAnswer: -3*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 20 = 16*v. Suppose 252 = v*h - h. Suppose -6*n**3 - 5 + 4*n**5 - 11 + h*n**2 + 2*n**3 - 12*n**4 = 0. Calculate n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)\/(u\/(u\/((u**(-2\/13)\/u)\/u)*u*u))*u**(2\/9)*u*u**(2\/23) assuming u is positive.\nAnswer: u**(-4136\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 63 + 13 = -5*r, 0 = -4*r + 5*k - 5. Let i be -1 + (r - 2 - -1). Solve -d = i + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, -104, -3, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2345211 (base 7) in base 15?\nAnswer: -5d099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248039597?\nAnswer: 13, 19079969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/13, -4, 3\/718.\nAnswer: -5, -4, -2\/13, 3\/718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (10 + (-6 - 0 - 29 - 0)) - -1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19590707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6552 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1211203?\nAnswer: 1211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3744 - 2053. List the prime factors of y.\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22554 - 4?\nAnswer: 22550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13272.1 - 13272. Which is the nearest to r? (a) 3\/2 (b) 0.3 (c) -3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 - 2*z**2 + 1. Suppose -w = -4*k - 2, 0*k - k = -4*w - 7. What is p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (172\/((-688)\/(-8)))\/((-4)\/((-12)\/(-51)))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1639311000 to the nearest one million.\nAnswer: 1639000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from eejjjeee?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -906304, -1812601, -2718898, -3625195?\n\"Answer: -906297*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r**2 - 47*r + 20. Let q(g) = -17*g**2 + 69*g - 30. Give 7*p(l) + 5*q(l).\nAnswer: -l**2 + 16*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 615 + 2*f - 2*f - 614 + f**3. Determine p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6288 and 376056.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 37\/5 (c) 5015\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9274434719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 8 + 10 - 24.\nAnswer: -3*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 2, -0.1, 6\/11, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3) - 62\/(-150)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q**2 + q - 1. Suppose -6*c + 11 + 1 = 0. Suppose 0 = m - 4*m - 33. Let p(g) = -2*g**2. What is c*b(z) + m*p(z)?\nAnswer: 2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 912865402 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 25*j + 9. Let z be n(-8). Which is the smallest value? (a) 2\/67 (b) -1\/6 (c) z (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -1. Let n be 2 + f*(-1)\/(-2). Let s(i) = -3*i - 3. Let y(m) = -2*m - 4. Let v(j) = 4*s(j) - 3*y(j). Give v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265435449 + 8.\nAnswer: -265435441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 3*(sqrt(77)*-3 - sqrt(77)))\/(sqrt(176)*-5)*3.\nAnswer: -39*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2. Let n = 94 - 130. Let r = n + 38. Let b(h) = -h + r - h + 44. What is b(q(a))?\nAnswer: -4*a**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-12\/13)*(z**(1\/4)*z)**30 assuming z is positive.\nAnswer: z**(999\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 560\/(-160)*(-69)\/(-1547) - (-2)\/17.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a + -1a?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 700*h**3\/3 - 132*h + 487. What is the first derivative of j(f) wrt f?\nAnswer: 1400*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(6\/(-48))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 597180 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 16) to base 6\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 20 = 26*m - 22*m, -20 = 4*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 16969.8233 to the nearest 10.\nAnswer: 16970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 - 258*t + 3\/2*t**4 + 297\/4*t**3 - 171\/4*t**2 = 0. Calculate t.\nAnswer: -50, -2, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 2*i**4 + i**3 + (4*i**4 + 4*i**4 - 4*i**4)*(5 + 1 - 5) - 27 + 27 + 8*i**4 as v*i**3 + q*i**2 + d + o*i**4 + s*i and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/10)\/(12\/(-20)). Suppose -3*a + 73 = -14. Let b = -86\/3 + a. Is b at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3)*g)\/g*g**(-1\/9))\/(((g**(-2)\/g*g)\/g)\/((g\/g**(-7))\/g)))**(-2\/185) assuming g is positive.\nAnswer: g**(-124\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22553970.\nAnswer: 2, 3, 5, 751799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121377, -121368, -121347, -121308, -121245?\nAnswer: -121152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t, -3*a + 2*a + 5 = 5*t. Let i be (95\/(-15) - -7)\/(a\/9). Put -0.08, -1, i, 6 in descending order.\nAnswer: 6, i, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1394.454 rounded to the nearest 10?\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.32227 - 1.3\nAnswer: -2.62227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f + 6. Let x be o(-6). Suppose 276 = 3*c + 204. Let u = x + c. Solve u*d = 5*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 233\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4476 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(128) + -3 + -2*sqrt(128)*6.\nAnswer: -88*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1421 and 163\/43848.\nAnswer: 306936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, r: 1, n: 2, m: 1, i: 1}. What is prob of sequence rbt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -5. Let k = 6 - j. Let b(f) = -1 + 3*f + 2 - f + k*f. Calculate b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(300))\/sqrt(12))\/(sqrt(605)*1).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:15 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*52\/20*23\/((-138)\/(-20)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*c**2 + 2*c**3 - 2*c**4 + c**4 - c**3 in the form a*c**2 + n*c**4 + i + p*c + x*c**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 (base 10) in base 14?\nAnswer: 35c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 4*n + 3. Let m be l(-6). Let h be (-6)\/4*2 - m. Calculate the greatest common factor of h and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 25*o + 56. Let w be m(30). Calculate the smallest common multiple of 24 and ((-25)\/75)\/(-2 + w\/(-48)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166289445 divided by -9645.\nAnswer: -17241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1962 and 40425702.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*g**3 - 1691*g**2 - 2*g + 157265?\nAnswer: 27*g**2 - 3382*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/9 - 8*p**3\/9 - 4*p**2\/9 + 8*p\/9 + 2\/3 = 0. Calculate p.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -27 - -21 - 0) + -38?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 7. Let u be 20\/6*12\/10. Let n(p) = u - 1 - p + 7. Let o be n(7). What is t(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/207)\/1*9\/6.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -191258, -191169, -191080, -190991, -190902?\n\"Answer: 89*k - 191347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 39, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137\/3 + 46. Let n = -62\/3 + 21. Let -h*y**2 + n + 0*y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 804*p**3 + 397*p**3 + 63 - 65 - 205*p**3 - 2*p**2 - 4*p**3 to l*p**3 + s*p + g*p**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13142*r**4*t**2 + 1086*r**4*t - 173*r**2*t**2 + 106*r**2*t + 6*r**2 - 16*t**2 wrt r?\nAnswer: -315408*r*t**2 + 26064*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -112721 (base 10) to base 3\nAnswer: -12201121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + j**2 + 13*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2937156 divided by -979052.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 0*y - 1\/3*y**6 - 8*y**3 + 9\/4*y**4 + 0*y**2 + 39 + 0*y**5. What is the third derivative of k(h) wrt h?\nAnswer: -120*h**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/3))**7*(q**0\/q)**(-35\/2) assuming q is positive.\nAnswer: q**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 2 = 13*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 - 6441*b**2 - 40531*b?\nAnswer: -6*b - 12882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20*-6)\/((11\/(374\/(-12)))\/(-10))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22142 and 194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7311 + 7366. Let r = 13 - 2. Calculate the smallest common multiple of r and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28166, -112702, -253596, -450848?\nAnswer: -704458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/7*7*2\/14*-7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87\/((9282\/(-1105))\/(-1 + (-2)\/(-10))). Factor f*d**2 + 1\/7*d**3 + 0 + 841\/7*d.\nAnswer: d*(d + 29)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/50)\/((15\/1275)\/1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841170 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 27*m + 5*m**3 - 27*m + 199155327*m**2 - 199155327*m**2 - 2.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 11 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 17*j**4 - j**2 - j + 12. Let u(t) = -t**4 + t**2 + t. Let g(v) = -a(v) - u(v). What is the first derivative of g(y) wrt y?\nAnswer: -64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -639361 + 0?\nAnswer: -639361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/((22\/690)\/11). Let z = v + -3269. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148340 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/10 (b) -3\/4 (c) 0.21 (d) -17.7 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/7 + 46\/7 + (-782)\/(-115). What is the closest to 1\/2 in s, 3\/2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -56*k - 11. Let u(h) = -9*h - 2. Calculate -n(z) + 5*u(z).\nAnswer: 11*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = -j - 3*j, -j = 2. Suppose -5*k + 100 = 4*o, -4*k = o - h*k - 36. Calculate the remainder when 38 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 192358809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 340842840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 10*d. Let x be ((-140)\/18)\/5 + (-40)\/90. Let g(o) = o + 1. Calculate x*g(i) - k(i).\nAnswer: i**2 + 8*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0*o**2 - 2\/3*o**3 + 0 + 3*o. Let m(g) = -g**2. What is m(x(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -13. Let z = 10 + -7. Suppose -z = v*d - 9. Solve -3*b = 5*a + 14 - 5, -d*a - 5*b = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 20*n + 28. Let a be (-4)\/(-9)*2106\/52. Determine z(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8da2 (base 14) in base 13?\nAnswer: -b2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 5*x**2 - 6*x - 3. Let n be r(6). Let l(b) = 1. Let f(d) = 5*d**3 + 25*d**2 + 35*d + 18. Let s(o) = n*l(o) + f(o). Suppose s(h) = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2660780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 7. Let w be f(-1). Solve p - 6 = w*p - 4*h, -p + 5*h = 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/342, 0.5, 5, 2, 7?\nAnswer: -1\/342","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23 - -1275\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 3. Let h(w) = 14*w + 24. Let u(f) = -8*a(f) + h(f). Let o(j) = -156*j**2. Calculate o(u(l)).\nAnswer: -624*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/18 + (2 - 6\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 2*m + 1. Let y be a(3). Solve -3*b = -v + 7, -3*v + 1 = y*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**8\/4032 - d**7\/5040 + d**5\/12 + d**2. Let s(k) be the third derivative of j(k). Find the second derivative of s(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v - 73 = 215 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/420 and -71\/8695050?\nAnswer: 17390100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4932 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-147004)\/10 + 10\/25. Round k to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214 - 4?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -17. Let c(b) = 5 + 6 - 11 + b**s. Let n(u) = 15*u**2 - 34*u**2 + 17*u**2. Calculate c(n(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6127*p = 4167*p - 43120 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3314, -4, 6 in decreasing order.\nAnswer: 3314, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 9665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b**2. Suppose 5*z = 4*t - 61, 2*z = -3*t + 7*z + 52. Let c = t - 6. Let a(m) = 3*m - 4*m + 0*m + c*m. Give h(a(i)).\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-108384)\/(-64)*(-2)\/3*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000142155 to six dps.\nAnswer: 0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 5*c - 4. Let u be f(-4). Suppose u = 2*h - h. Suppose 0 = 3*j - h*j, 0 = -4*t - j + 28. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(z + 2*z - 5*z) + z + 1 - 1 + (-z + z + 3*z)*(4 - 1 + 2) + z - 3*z + z as w*z + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 191554 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 252*v - 855. Give f(0).\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 81 + 1010 = s, -4*i - 2212 = -2*s. Suppose 8*t - s = 1956. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 1. Suppose 4*k = 4*v, 4*v - n = -2*k + v. Solve 0 = 5*h + 21 - k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + f + 4. What is the remainder when (-28)\/5*(-6)\/(24\/20) is divided by k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42913642 a multiple of 2289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17995478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -493.45 to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and ((-5024)\/(-1440) + (-1)\/(-9))*25?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q*q**(-26))))\/q)\/(q*q*q**(-15)))**(-1\/18) assuming q is positive.\nAnswer: q**(13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 13 (b) 0.2 (c) -13 (d) 141 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 14 - (-9 - -8 - -7 - 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 272*w**2. Let d(g) = 502*g - 863. Give d(f(u)).\nAnswer: 136544*u**2 - 863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 7*r + 3*r + (-2*r + 2*r + 4*r)*(-1 - 1 + 0) + 30 + 2*r - 30.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 421 * 0.2.\nAnswer: 84.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244 take away 0.25?\nAnswer: -1244.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 3. Let v(x) = 2*x - 6. Let p be v(7). Let r be n(p). What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 4, 6, -11.09, -2\/9 in decreasing order.\nAnswer: 6, 4, -1\/5, -2\/9, -11.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75848, 75847, 75862, 75899, 75964, 76063, 76202, 76387?\n\"Answer: c**3 + 2*c**2 - 14*c + 75859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 + 64473*w - 4*w**2 - 64614*w - 7 in the form c*w**2 + p + k*w and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 29*j**2 - 2*j + 30. Let k(c) = 57*c. Determine k(y(u)).\nAnswer: 1653*u**2 - 114*u + 1710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m - 9 + 136*m + 92*m - 76*m.\nAnswer: 178*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 10:34 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 1224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/12529131 and -13?\nAnswer: 12529131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 365216 = 3*r, -4*y + 17*r = 19*r - 365224. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izizziiizizz. What is prob of sequence iii?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 4. Suppose 6 = n*w - 4, 3*w = c + 9. Suppose 3*b + 4*f = 14, 2*f + c = -3*b + 16. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9*s)**(-15)\/((s\/((s**8\/s)\/s))\/s**(1\/35)) assuming s is positive.\nAnswer: s**(-5074\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d*s**3*x**4 - d*s**3 - 62*d*s**2*x**2 - 17*d*s*x**4 + 2*d*x**2 wrt x.\nAnswer: -96*d*s**3*x - 408*d*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41528, -83813, -126124, -168467, -210848?\nAnswer: -253273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = 0. Let w be (-2 + 10)*((-33)\/(-12) + -2). Suppose w*y - 14 - 10 = r. Solve -y*p + 0*p - 3 = l, 3*p = l + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 4\/7, 1, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + 0 - (-507 - 17). Let x = -414 + q. What is the remainder when x is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**3 - y**2 + 9*y - 10. Let a be w(1). Solve -25 = -5*u, 4*x + 2*u - 5 = a*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20680\/6*(-32)\/240. Suppose -2*y + 2298 = -5*g, -2*g - 3*y - 612 = 311. Let z = f - g. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*m = -3*m. Which is the nearest to 0? (a) 7 (b) 0.03 (c) m (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*n + 37100 + 8372*n - 37100.\nAnswer: 8518*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -17*n**3\/3 - 23*n + 24. Find the first derivative of h(u) wrt u.\nAnswer: -34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = r + 9. Let z = r - -205. Sort 4, z, 3 in ascending order.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 11*p + 7. What is the lowest common multiple of h(-5) and 11?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 11 = -4*t. Let c = 130\/127 + -8034\/1397. Find the common denominator of t and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1471003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 8. Let z(p) = p**3 - p**2 + 5*p - 2. Let o be z(n). Suppose -2*q - 3*d = -0*q - o, d = -4. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/30 + 2*d**2. Let p(i) = i**3 + 4*i**2 + 4*i + 2. Let c be p(-2). Let a(w) = -2*w + w + 2 - c. Determine z(a(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.24 (b) 13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*f - 1190 = 35*f + 1778. Solve 7*v = -49 + f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62145818*s**2 - 73884*s + 250.\nAnswer: -124291636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11112474497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:34 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135006*u**3 - 990322 wrt u?\nAnswer: 405018*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.83544 centuries?\nAnswer: 1002.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -0.2 (c) 2 (d) -217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-5) - (1 - (-10)\/(-25)). Let v(h) = -4*h + 10. Let j(f) = -8*f + 19. Let r(p) = -3*j(p) + 5*v(p). What is the units digit of r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26058453.\nAnswer: 3, 199, 43649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 8*z**2 + 1 + 10*z**2.\nAnswer: 2*z**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 6. Let v be x(-6). Suppose v = -3*c + 1 + 17. Suppose -5*m + c = -4. Is 3 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -807 + 807.000006106. Round t to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4643945*j**3*n**3 + 2*j**2*n**2 + 43157*j*n**3 + 10*j*n wrt j.\nAnswer: -27863670*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330896 divided by 2582724?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -0.2 (c) 21\/4 (d) -1\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-17) + -1 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -25*x - 171. Determine r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 9*c. Determine b(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - j**2 + 2)*(2*j + 5*j + j)*(-8 - 6 + 12) to n + t*j + u*j**3 + d*j**2 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yytded?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -33*u**2 - 2. Let s(w) = 246*w - 6. Calculate s(c(f)).\nAnswer: -8118*f**2 - 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + sqrt(110)*2))*2)\/(sqrt(640)*-1).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -256 - -567. List the prime factors of h.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -q + 5 - 0, 4*b = -4*q + 4. Let w be 4\/q - 72\/42. Let h be 26\/(-6) + (-1)\/(-3). What is the nearest to 2\/5 in w, -2, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95867953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2 - 6. Let q be (c + -1 + 2)*-1. Let s(n) = -2*n**3 - 5*n**2 + n. Let h(g) = -2*g**3 - 4*g**2 + g. Determine q*h(j) + 4*s(j).\nAnswer: 2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 1 - 15. List the prime factors of (8\/(-5))\/(i\/280).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g**2 - g**2 + 2*g**2 + (-1 - g**2 + 1)*(-4 - 6 + 5) - 4*g**2 - 9*g**2 + g**2 to the form h + t*g + j*g**2 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -47*b**2 + 6. Determine z(2).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6630 and 2277015.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3077 + 5168. Let x = 2179.1 - j. Let v = x + -96. Round v to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(2\/8). Let q(d) = 19*d**3 - 16*d**2 + 3*d. Let j(o) = -6*o**3 + 5*o**2 - o. Let c(a) = -7*j(a) - 2*q(a). List the prime factors of c(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6 and -59\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 0. Let k = -2.5 - 6.4. Let w = k - d. Sort -4, 3\/2, w in decreasing order.\nAnswer: 3\/2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - 5 - -4 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -3, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 50 = 20*y. Let d be (-18)\/4*y\/15. Suppose 5*k = 4*m - 40, 8*m = d*m - 3*k + 87. Solve 0 = -0*f + 3*f + m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -81*w**2 + 19*w + 18. Determine i(-1).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 21*f - 12*f - 7*f + 34*f - 2*f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -3, -18, 4981, 0, 0.3?\nAnswer: 4981","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - (-3 + 0 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 90*r**2 - r + 2*r + r**3.\nAnswer: r**3 + 90*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5*y + 1. Let j be v(5). Suppose n + 0 = 4. Suppose -46 = 28*l - 30*l. Solve -2*z + l = -n*t - j, 0 = -2*z + 3*t + 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 72\/35 and -59\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7091\/9 less than or equal to -787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1037 - -1088. What is the fourth biggest value in -0.1, 3\/7, 3, t, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 129, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0 (c) -14086.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 + 11 = 0. Suppose 1 = v*n - 4*n. Let x be (1 + -1)\/(n + 2). Sort 1, x, -3, 4 in ascending order.\nAnswer: -3, x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let j be c(0). Suppose j = 14*u - 13*u - 1. Solve 0 = 5*i - h - u, -2*i = h + h - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-90)\/25)\/((-8)\/380) is divided by (-5)\/3*-1*(250 - 235)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 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: Let f = -21 + 21.1. Suppose 2 = w + w. Let r be w\/(0 - 7) - 0. What is the closest to f in -4, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*f - 4*i, -1045*f + 1047*f = 5*i - 20. Let y(g) be the first derivative of -g**4\/4 + g**3\/3 - 10*g - 2. What is y(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 4*r**2 + 2*r + 7. Let i be o(3). Suppose 3*x + 5330 = 6*t - t, -i*t = -2*x - 4266. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i. Suppose p - m - 2 = i, 2*p - m - 6 = 1. Solve 0*x - p = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 7, h: 1}. What is prob of sequence ii?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/3 - 2*m**2 - 3*m - 4\/3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -49. Let x be u*1\/9*3. Suppose 224*z - 220*z = -y + 20, -2*y = -2*z. Solve 2*d - 5*d - 2*a = -19, x*a = -z*d + 37 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -16 - 50. Let n be (-6 - 4)*2\/4. Let j = -3 - n. What is the greatest common divisor of j and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -74*c - 4954. What is q(-67)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -82.38, -2, 2\/19, -3\/7?\nAnswer: -82.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*l - 1731 - 9 - 1492 = 0 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Let x(v) = 8*v - 1. Suppose i - 4 = 8*p - 11*p, 0 = -4*p - 3*i + 7. Give p*x(w) - 6*o(w).\nAnswer: 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1382*r - 11 + 11.\nAnswer: 1382*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**3 + n**2 - 12*n. Let m(t) = -13*t**3 + t**2 - 25*t. Calculate -3*m(v) + 7*p(v).\nAnswer: -3*v**3 + 4*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26768411*s**3 - 71696303*s.\nAnswer: -160610466*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4313380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 87*a**2 - 177*a + 192. Calculate v(-89).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 9*x**2 + 5*x + 31. Let k be w(-8). Solve 0 = n - 54 + k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*g = -28*g + 12*g - 741 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -15. Suppose f = 2*m + 3*m - 10. Solve -m*j - 20 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29956 divided by -7489\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2387? (a) -5 (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4 - 4)*(-t**3 + 4*t**3 - 2*t**3) + (-t**3 + 0*t**3 + 2*t**3)*(5*t - 2*t - t) + 207 - 207 + 91*t**4 + (t**3 - 3*t**3 + t**3)*(-2 + 2*t + 2).\nAnswer: 89*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/20*7*(-15)\/(-42)*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152781 at least 152782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192192 divided by -12.\nAnswer: -16016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 5 (b) 2 (c) -1.1 (d) 498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29845, 59475, 89105, 118735?\n\"Answer: 29630*b + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.74 + 0.26. Sort 1\/5, 5, b in ascending order.\nAnswer: 1\/5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13432 (base 5) in base 16?\nAnswer: 45d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/11349 and -64\/17277.\nAnswer: 5027607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -5079\/4.\nAnswer: -5079\/4, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3506, -27278, -91812, -217490, -424694, -733806, -1165208, -1739282?\n\"Answer: -3397*h**3 + h**2 + 4*h - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -9 (b) 9944 (c) 2 (d) -0.3 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1227811\/34 + -36112. Which is the closest to -1? (a) d (b) 0 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 568\/5. What is the nearest to -2 in b, -3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3323134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 385899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -23*s - 207. Let o(u) = -85*u - 826. Calculate -22*c(b) + 6*o(b).\nAnswer: -4*b - 402","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -5.273 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozx when three letters picked without replacement from xlxxzuluoozluoxz.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:53 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19 times -25073\nAnswer: 476387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnpnnpnnlnpnpnnnnnl. What is prob of picking 2 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y + 6 - 6. Let x(v) = -3*v + 7. Let b(o) = 4*o - 6. Let l(a) = 2*b(a) + 3*x(a). Let c be l(y). Solve 3*z + 0 - 5 = 2*w, 5*w = 4*z - c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -11*a + 7*a + 2375, 15 = 5*s. What is the greatest common divisor of 80 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 9 - 7*y**2 - 6 - 2 - 3*y**3 - y**2. Let h(u) = u - 2. Let o be h(-3). Is z(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045739\/11 less than or equal to 185977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21555 and 1154869.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 14 + 8)*(4*y**3 - 3*y**3 + 0*y**3 + (y + 2 - 2)*(-y + y + 2*y**2) + 0*y**3 - 4*y**3 + 2*y**3 - 2*y**3 - y + y).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -71 (b) -2 (c) 0 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1225654, -2451308, -3676962, -4902616, -6128270, -7353924?\nAnswer: -8579578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 + 260 = 66*j. Let k(m) = -m - 2. Let t(d) = d**2 + 4*d - 19. Let x(b) = j*k(b) - t(b). Determine x(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.049, -64253, 25 in decreasing order.\nAnswer: 25, -0.049, -64253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrteiywti. What is prob of sequence te?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, a: 6}. What is prob of sequence ga?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -191*u - 12 + 4 + 2 + 178*u. Determine b(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82432 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371223 (base 8) in base 12?\nAnswer: 27532b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-1*5 + (sqrt(66) - (1*-2*sqrt(66) + sqrt(66))))\/((sqrt(216)*1 + sqrt(6) - sqrt(6))*4))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 13 + 3. Suppose 2*c - 10 = -3*c. Suppose 28 = c*p + t. What is the highest common factor of 132 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -140*k. Let i(h) = -2*h**2 + 186*h - 88*h - 98*h. Calculate i(m(r)).\nAnswer: -39200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -858, -281, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 23. Suppose 5*c - o*f = 14, 0 = -5*c - 2*f + 4 + 4. Suppose 0*z - 3 = -c*z + q, 4*z + 4*q = 24. Let d(p) = p**3 - 2*p**2 - 4. Calculate d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - z**3 - 3*z**3)*(-3 - 2 + 4) - 4*z**3 + 7*z**3 - 12*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -107892*h - 3992002. Give x(-37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 48912 times 3.56\nAnswer: 174126.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((-7 - (21 + -16)) + 15) - 124?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -73) + -52 - (49 - 1 - 1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 5*l - 1. Let b be m(2). Suppose 4*a = -x + 15, -b*x = -2*a + 5 - 124. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.137 - 5188070.\nAnswer: -5188070.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h = 22*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82\/3 - 28. Which is the closest to u? (a) -2 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 156.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3 - 16*g**2 + 30*g = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -10. Suppose -c - r + 8 = 3*c, 0 = -5*c - 4*r + d. Suppose 116 = -c*m + 1274. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 4*t - 4, 4*u + 2*t = -20. What is the nearest to 0 in -1\/3, -4\/3, u, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1075, 2159, 3245, 4333, 5423?\n\"Answer: p**2 + 1081*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*j**2*l - 2*j**2*u + 8*j*l*u - 897 wrt l.\nAnswer: 85*j**2 + 8*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - 1. Let g = 22.6 + -44.8. Let n = -23 - g. Which is the closest to s? (a) 0 (b) n (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(1 + -2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*h - h + 3, -10 = 5*z - 4*h. Let t be -4 + (2 - z) - 3. Let a be ((-34)\/51)\/(t\/3). What is the third smallest value in a, 4\/7, -4\/5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 4, y: 1, c: 2, b: 3}. Give prob of picking 1 c, 1 f, and 1 b.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12016431103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30*(20\/6 + -3). Let a be 1 + h\/(1\/1). Suppose -5*s + a = b - 1, -2*s - 47 = -b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -4\/25 (b) -0.2 (c) -2\/13 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16.8715 and 0.01.\nAnswer: 16.8815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 24 = 3*g. Is 554*228\/g - 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 9:00 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -38, -8, 50, 142?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4 + 47448*p**3 + 178675824*p**2 - 70646655744*p + 6650719767552 = 0 for p.\nAnswer: -8092, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -107*a**6\/24 + 31*a**5\/3 + 6*a**2 - 46. Find the third derivative of t(q) wrt q.\nAnswer: -3210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57410.\nAnswer: 2, 5, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 97132993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59\/4 in -1\/3, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 + 14 - 14)*(167*c**2 + 110*c**2 - 147*c**2 + 315*c**2).\nAnswer: -3115*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 1 = -13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760050 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 63*n - 128. Let j be s(-59). Solve -5*h - j + 103 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -211745\/76 and -2786 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 27*n - 498. Give m(20).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5188.01 + -5188. What is the second smallest value in -3, -1, n, -0.033?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.83633 + 16?\nAnswer: 8.16367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 5388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 54. Let g be (-2)\/8 - i*21\/(-4). Suppose -5*f + 397 = 4*k, f - 3*k - 83 = -g*k. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3692900.76 and -7106.\nAnswer: 3685794.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven fifths of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59728.8 * 2.\nAnswer: -119457.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(86\/5)\/(-2). Let w be (-1)\/b + -6 + 6. Are w and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q = 40. Let o be 3*q\/12 + -2. Let r(n) = n + 1. Suppose -a + 5 = 3*d - 0, 5*a = 10. Let h(m) = 2*m**2 - 2*m - 5. What is d*h(i) + o*r(i)?\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:49 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 10*v**2 - v + 9. Give a(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126 - 7?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12d5 - 3a?\nAnswer: 129a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -698.018 - -700. Let c = -2 + s. Round c to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 23. Let n(x) = -10*x**2 + 4. Let l(w) = -7*w**2 - 2*w**2 - 4 + 9 - 3*w**2. Let v(g) = 4*l(g) - 5*n(g). Give v(y(t)).\nAnswer: 2*t**2 - 92*t + 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**3 - 3870*q**2 - 15399*q + 761. Determine g(-770).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/604*10\/30. Is 0 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 10*h**2 - 17*h + 2. Let i be v(8). Let x be 20\/i*(-6)\/4. Suppose 4*u = 4*n - 1420 - 1204, 1321 = 2*n - x*u. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:30 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.73783 times 0.04\nAnswer: 0.1495132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -224. Let j = -180.6 - s. Which is the nearest to 1.5? (a) 3\/8 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - g + 2*g)*(2*g**2 - g**2 + g**2) - 3*g**3 + 2*g**3 + 0*g**3 + (0*g**2 + 2*g**2 + 0*g**2)*(26*g - 25*g + 40*g).\nAnswer: 75*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 2428300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b\/((b*b**(-3)*b)\/b))\/b)\/b*b*b**(3\/7))**25\/(b**0*b\/(b**(3\/4)\/b)*b)**(-5\/6) assuming b is positive.\nAnswer: b**(6305\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**3 - 3*t**2 - 6*t + 2. Let a(i) = 3*i**3 - 3*i**2 - 5*i + 1. Calculate -7*a(n) + 6*v(n).\nAnswer: 3*n**3 + 3*n**2 - n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -4) + 4 + 6 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 13*v + 91*v**2 + 7 + 9*v - 3. Let l be z(3). Let b = -5688\/7 + l. Find the common denominator of 8\/7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -17227 + 18091. Put -8, p, -2, 2 in ascending order.\nAnswer: -8, -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -20*s + 16*s. Suppose 1112 = s*z + 3*j - 5*j, -3*z + 5*j = -1660. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0849 from -6473671966.\nAnswer: -6473671966.0849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -5 (c) -2\/13 (d) -1\/1390\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-16) - (0 - 158\/(-16)) and -75\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -36, -29, -18, -3?\n\"Answer: 2*i**2 - 3*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 7*x**2 - x + 6. Let a be j(7). Suppose 5*l + 7 = -8. Let w(s) = -2*s**2 + 2*s + 1. Let n(r) = -r. Give a*w(k) + l*n(k).\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 189 + 189. Let f(o) = 53*o**2. Calculate g(f(y)).\nAnswer: 5618*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -32, 1?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -19*s**8\/56 - s**5\/10 + 11*s**4\/6 - s**2\/2 + 7*s - 3. Find the third derivative of f(n) wrt n.\nAnswer: -2280*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + -4 - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**4*x**2 + 27*j**4*x + 635*j**4 + 100659*j**2 + x**2 wrt j?\nAnswer: 48*j*x**2 + 648*j*x + 15240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 3*o + 14. Is p(11) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 8, 0, -54 in descending order.\nAnswer: 8, 3, 0, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -404*h - 18953. What is i(-46)?\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.598 rounded to 1 decimal place?\nAnswer: 71.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-15) - (1 + 46\/(-10)). Is ((-778)\/4)\/(g\/(-40)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6050 + 6061. What is the remainder when 434 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705 - 1314 = -103*l + 968 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4405 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*m + 18, -5*d - 1 = -m + 20. Suppose -m*x + 5*x + 60 = 0. What is the lowest common multiple of x and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*g + g + 24, 3*z = -3*g - 9. Let m be ((-2 - -1) + -5)*(-1)\/z. Solve -m*v = -7*v - 4*u + 20, 10 = 2*v - 4*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/9 + 10*d**3\/9 + 56*d**2\/9 - 64*d\/9 = 0. Calculate d.\nAnswer: -4, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*m = -282 + 45, 0 = -4*z - 5*m + 318. Suppose -164 = 4*y - 3*g + 7, -2*y - 85 = -g. Let p = z + y. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000150423 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*l - 38 = 0, -81*m = -76*m - l - 28 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qspssltpopppsqspolo. What is prob of picking 1 l and 1 s?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 8 = -5*b - 18, 3*b = 5*v - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42365.\nAnswer: 5, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5\/3, 2\/7, -0.45, 0, 30?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9444.7 + 9445. Let j = 16\/29 - 196\/145. Which is the third biggest value? (a) -1\/2 (b) j (c) -3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4838 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5933 - -5939) + (2 + -1 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74690 or -74080?\nAnswer: -74080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6 + 4*k**2 + k**2 - 3*k**2 wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*u**3*x**3 - 21*u**3*x - 4*x**5 + 4 wrt x.\nAnswer: 150*u**3*x - 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**2 - 9*g - 14. Let p(d) = d - 7*d - 9 + 4*d**2 - 11*d**2. Let u(z) = 5*f(z) - 8*p(z). Factor u(o).\nAnswer: (o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.474 and -4.\nAnswer: -5.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101210022211 - -101020?\nAnswer: 101210201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 8*o - 38. Let h(r) = 3*r**2 - 24*r - 107. Let i(k) = -6*h(k) + 17*v(k). Let s(q) = -q**2 + 6*q - 4. Let a be s(6). Let n = a - -11. Give i(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 46, 43, 40, 37, 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and 3544.12.\nAnswer: -106323.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -3 - -579 - (-1 + 3). What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2555 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1500 = -500*n + 1483 - 483. Suppose 1\/2*u**2 + 1\/4*u**n - 1\/2 + 3\/4*u + 0*u**4 - u**3 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -4. Let g be (c - -4) + 0\/3. Let p = 2 - 2. Put p, g, 2 in increasing order.\nAnswer: p, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-18)*-4 - (-130)\/195?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 + 431 = -96*l + 636 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -221.3*13.2773\nAnswer: -2938.26649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.7+-731042.412\nAnswer: -731044.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 4252*h - 55445.\nAnswer: (h - 13)*(h + 4265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9 - (-26)\/6. Let d(r) = r**3 + 7*r**2 + 5. Let k be d(-7). What is the second derivative of 2*p**k - 3*p**i - p**5 + p wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11257*c**2*g*o**2 - 148*c**2*o*v - 660*c*g*o**2 - c*g*o*v - 3*c*o**2 - 4*g*o + 20*g wrt c.\nAnswer: -22514*g*o**2 - 296*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 0 - 11\/3*z**2 + 6*z + 1\/3*z**3 = 0.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 448.7 and -229.\nAnswer: 219.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -43*s + 42*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 - 40*w\/13 - 38\/13.\nAnswer: -2*(w + 1)*(w + 19)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -13*v. Let o(p) = -30*p**2. Let w(c) = -7*c**2. Let s(d) = o(d) - w(d). Calculate u(s(n)).\nAnswer: 299*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**3 - 4395*u**2 + 967995*u - 963605 = 0.\nAnswer: 1, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21 less than or equal to 755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**2 - 3*w + 1. Calculate the remainder when v(-3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 77171945 and -255733.\nAnswer: 76916212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*z = -2*z - 3, 2*l + 2 = z. Suppose 2*r - 10 - 26 = 0. Let q be 4\/r - 26\/117. Which is the nearest to l? (a) 5 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/12 + -253\/84. Let h = -57\/35 - p. Which is the closest to h? (a) 4 (b) 0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -766806 and -766803 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**5 - 21*x**3 + 12*x**2 + 6. Let s(f) = -6*f**5 + 40*f**3 - 23*f**2 - 11. Let u(n) = 6*s(n) + 11*y(n). Factor u(m).\nAnswer: -3*m**2*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101766 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 1502912?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 + b**2 - 5*b + 2. Does 14 divide m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d + 10. Calculate a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/5, 2, 5, 0.0563?\nAnswer: 0.0563","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -916, -863, -810, -757, -704, -651?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2 - h**2 + 9 + 1 + 6*h - 3. Let x be u(7). Suppose 64 - 16 = x*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 8, -4, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -7, 282, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*a + 3*j + 74, -86 = -5*a - 3*j. What is the third derivative of -6*g**2 - 16*g + a*g + 4*g**3 - 2 + 13*g**2 wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66134 and 6?\nAnswer: 198402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.536 + 7.213\nAnswer: 7.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2 + 1))\/(34\/(-12) - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -1 (c) -5 (d) -77\/8 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 - -13.33. Let q = 12.6 - k. What is the nearest to -0.2 in q, 4, 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -404, 1\/2?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -109. Suppose 10*r = -4*i + 12*r + 1926, 3*i - 4*r - 1437 = 0. Calculate the remainder when 108 is divided by a\/(-286) - i\/(-13).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - h - 1. Let r be d(-1). Suppose -x - 4 = -5*x. Put x, r, 2 in decreasing order.\nAnswer: 2, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2\/7 - 215240*c\/7 - 615200 = 0. What is c?\nAnswer: -20, 53830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -29, -57, -103, -173?\n\"Answer: -s**3 - 9*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6086, 6135, 6182, 6227?\n\"Answer: -d**2 + 52*d + 6035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 207, -21, 7, 0, 8 in decreasing order.\nAnswer: 207, 8, 7, 4, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272641.201497 + -272641. Let f = 0.202 - z. What is f rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 332\/279265 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -366*k**2 - 15*k - 15. Let b(j) = -j**2 - j - 1. What is 15*b(o) - d(o)?\nAnswer: 351*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1543745 (base 8) to base 7.\nAnswer: 3530411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-35)\/14)\/(3\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -276.94 and 1.8?\nAnswer: 278.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(126)\/sqrt(2)*5 - (-1*sqrt(63) + -4))**2 - (sqrt(315)\/((sqrt(5) - 2*sqrt(5)*5) + sqrt(5)))**2).\nAnswer: 576*sqrt(7) + 146113\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 16. Calculate v(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(-4*(sqrt(63)*2 + 4))**2.\nAnswer: 3840*sqrt(7) + 21435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 18. Let x be t(9). Suppose x = v + 2*v - 114. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 5*x**2 - 49*x - 14. What is i(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -130 + 145 - (6 - (0 + -1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 25614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 3115 + 2945 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4627 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 1:24 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*k**5 + 150*k**5 - 11*k**5 - k**2 - k**5 + k**2 - 2 - 2*k**5 + 2 + (-2*k**2 + 2*k**2 + k**2)*(2*k + k**3 - 2*k).\nAnswer: 124*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 425 and 461300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6*66\/4. Let j(m) = -151*m + 20751. Let q be j(134). Calculate the greatest common divisor of q and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9 - 0. Calculate the remainder when 33 is divided by 3*p\/9*18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-10)*s*s*s**(10\/3))**(-13\/2) assuming s is positive.\nAnswer: s**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431480.8 hours to minutes.\nAnswer: 25888848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2125*f + 26984 - 65234 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 28542053.6011.\nAnswer: -28542053.5411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-121567.431.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-20) - 806\/(-90) - (729 - 724)\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -258, -260, -262?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-32)\/34)*8\/(-3 - -35).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/60 - 3*n**4\/8 + 5*n**3\/6 + 5*n**2 + 21*n. What is x(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k**(-3\/19)*k)\/k*k)\/(k**(-9\/2)\/k))\/((((k\/(k**(-16)*k))\/k)\/k)\/(k\/k**32*k)))**(-35) assuming k is positive.\nAnswer: k**(47425\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-q**3 + q**3 - q**3) + (2*q**2 - 7*q**2 - 2*q**2)*(-11*q - 9*q + 6*q).\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-52)\/16)\/(2\/(-16)). Suppose k - c = -15. Solve 2*p + 2*h - 4 = 0, 5*h - k + 1 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 32. Let y be v(18). Suppose 3*z + y + 43 = 0. Does 16 divide (-196)\/(-2) + (-20 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 9:06 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 - -6 - 6) - (17 + 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16667 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*u + 634 + 5424 = -137*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (12 + 3 - 2 - 30)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476280 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 = 3*j, -o - j - j - 5 = 0. Suppose 0 = 5*i + o*i - 120. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -76?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -40. Sort -10, -4, i, -5 in descending order.\nAnswer: i, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 2*o - 14, 55 = -5*z - 5*o. Let i(w) = w**3 + 5*w**2 - 8*w + 4. Let t be i(z). Solve 2*j + 16 = -2*j, 0 = 2*r - 4*j - t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*t - 414 = 74*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddkisinnni. Give prob of picking 3 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.046 in -6, -22, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)\/s*s*s)\/(s\/s**1)*((s\/((s*(s**0\/s)\/s)\/s))\/s)**(-31) assuming s is positive.\nAnswer: s**(-125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4, -1, 0.4, 1\/11, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + g + 0 + 0 - 2*g + (-2 + 4 - 4)*(-2 + 2*g + 2) + 2 + 2*g - 2 + 2*g + 0 + 0)*(1 - 3 + 4)*(0 + 0 + 3).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/273 - ((-2285)\/130 + (-3)\/(-6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 0 + x + 3\/2*x**2 - 1\/3*x**3. What is s(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 50b?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*r - 24 = -60*r + 3*k + 22, -k + 10 = 11*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 208?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 188, 272, 346, 410, 464?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 0.1, -2\/11, 13\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 245856927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*s - 1068 = 5586 + 332 - 506 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120357439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-360)\/(-315))\/(5\/70*4). Suppose -25 = -g + 3*k, -g - 5 = 4*k - 2. Solve 0 = 2*h - 7*h + 2*s - g, 2*s - 10 = t*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 70. Let n(j) = j + 3. Calculate n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10552428 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 1 (b) 0.07 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -6*g**5\/11 - 356*g**4\/11 + 126152*g**3\/11 + 3988140*g**2\/11 + 31204350*g\/11 + 9963000\/11 = 0.\nAnswer: -164, -15, -1\/3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/183182472 and -35\/1488.\nAnswer: 366364944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*u + 11, -f - 3 = 4*u - 2*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -0.16, -2\/5, 4, 2\/17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1626*n - 432*n + 142*n)*((3 + 1 - 6)*(1 - 4 + 5) + 2 + 3 - 4)*(-1 + 3 + 0).\nAnswer: 11496*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14112889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1922919975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 9:53 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 56 = -4*y. Suppose 0 = 3*l - 5*l + y. Let s = l + -2. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1859, -1, 146, 0 in descending order.\nAnswer: 146, 0, -1, -1859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 5*x + 88. Suppose 4*h - 24 = x. Solve -3 = 5*k + h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2331493640 and 2.\nAnswer: 2331493640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p - 3*p**2 - 17*p**3 + 13*p**3 - 6 - 3*p**2 - 4*p**2. Let d(v) = -v**3 - v**2 - v - 1. Let q(b) = -2*d(b) + o(b). Let q(n) = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 3 (b) -2069 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223, 225, 227, 229?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57156493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -27, -2\/7, -66?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -39. Let l = 40 - z. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, n: 3, s: 3, h: 6, a: 1, w: 1}. Give prob of sequence gss.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 98. Suppose -2025 = -4*y + 3*l, o*l + 0 = 5. What is the remainder when y is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose 0*j - 60 = -f*j. Suppose 4 = 2*w + o, -2*w + 5*o - 2*o = -j. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/366216453?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 3*q + 4. Let y(o) = -5*o**2 + 4*o**2 - 736 + 737. Determine 2*y(n) - z(n).\nAnswer: -n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - 8\/(-2) - (-8)\/4. Is 10\/39 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*b = 48, -4 = 5*b - 3*b. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 + 3 = 0. Let h = 4.1 + -4. Let u = h - -1.9. Which is the smallest value? (a) 2\/9 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u. Let c(q) be the second derivative of q**3\/6 - 17*q**2\/2 - 45*q + 2. Determine f(c(p)).\nAnswer: 2*p - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6 and 2\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8965 - 0.23?\nAnswer: -8965.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 + 153. Factor -c**3 - 167 + 135*c - 4*c**3 - 60*c**p + 97.\nAnswer: -5*(c - 1)**2*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7592528 rounded to 2 dps?\nAnswer: 4.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 141. Calculate the remainder when t is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248662 - 29*l**3 + 248662.\nAnswer: -29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-27)\/(-3))\/126*((-1782)\/1)\/(-9)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:13 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 111202120 (base 3) to base 15\nAnswer: 2e8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91053*r**2 - 3 - 85088*r**2 + 3.\nAnswer: 5965*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -0.46.\nAnswer: 0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 divided by 345.\nAnswer: -98\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z**4 + z**3 + 18358443*z + 301121191 with respect to z.\nAnswer: -4*z**3 + 3*z**2 + 18358443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 29321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78901307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 10.5.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 327*l - 16635. Determine g(49).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 29 - 17)*(4364 + 249*g**2 - 2185 - 2179) to i + c*g**2 + a*g and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igg when three letters picked without replacement from {g: 4, i: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -74*b + 10571. Give c(140).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 1000 in descending order.\nAnswer: 1000, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5147 - 1186?\nAnswer: -6311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602*m + 1605*m + 1131*m.\nAnswer: 3338*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465, -1869, -4209, -7485, -11697, -16845?\nAnswer: -22929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115472 is divided by 6414?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/31610 and -59\/237620.\nAnswer: 6890980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 81 = -3*a, 8*s + 27 = a + 3*s. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 - 1) - (0 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-84)*4\/5. Which is the closest to q? (a) -2 (b) 2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*15\/(-90).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - -8) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h**2)*(12*h**2 - 24*h**2 - 14*h**2).\nAnswer: 26*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*d**2 + 253 - 253.\nAnswer: 304*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 48*j - 13*j + 116, 130*q - 126*q = 2*j + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a8 + -4?\nAnswer: 8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*s**3 + 0 - 2\/7*s**4 - 8\/7*s**2 + 0*s.\nAnswer: -2*s**2*(s + 1)*(s + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-1320))\/(1\/5*-2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -2 - 0 - 0. Let d = 5 - p. Suppose 3*r - 6 = 0, 0 = -d*j - 2*r + r + 44. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*g - 44, -3*g - 73 = -2*s - 0*g. Suppose -6*l + s = -5*l. Suppose -3*p - l = -5*u - p, -3*u + 20 = -2*p. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1 - 4 = 0. Let w be z\/(1\/(-38)) - 0. Suppose -3*q = g - w, -2*g - 70 = -5*q - 5*g. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7761 + 11902. Suppose 3*z = -5*g + j, -2002 - 3526 = -4*z - 5*g. List the prime factors of z.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 12*h**2 + h + 23. Calculate the lowest common multiple of 3 and a(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 502*j**2. Let i(r) = -101*r. Give i(d(f)).\nAnswer: -50702*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 divided by -537812?\nAnswer: 41\/48892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 6*f**2 - 3. Suppose 168 = -20*c + 48. Determine o(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/97 and 15\/5822134?\nAnswer: 5822134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-4)\/10*(-4845)\/(-1368).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6988*i**3 + 3497*i**3 + 3495*i**3 - 12 + 2*i. Let n(l) = -1. Give 12*n(y) - u(y).\nAnswer: -4*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -15*3\/(18\/(-8)). Suppose 2*p + n = 6*p. Is (-1)\/5 + 2786\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = 5. Suppose x = p*x - 26. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, 1\/7, -2\/159?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, -110 in ascending order.\nAnswer: -110, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 1. Let q(j) = 17*j**2 - 3*j + 4. What is -3*l(b) + q(b)?\nAnswer: 17*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27536 and 240.\nAnswer: 413040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 19. Let s = -723 + 717. Calculate y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrb when three letters picked without replacement from lrllhllirlirrklllbll.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -77. Suppose -5*t - 19*x + 26 = -20*x, 3*t = 3*x + m. Solve 1 = -t*v - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/8 + (-74)\/(-4). Let x = n - -2. Factor -6 + 18*l**4 - 6*l**4 + 15*l**4 + 0*l**4 - x*l**2 - 33*l**3 + 33*l.\nAnswer: 3*(l - 1)**2*(l + 1)*(9*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**2 + 2*r - 3. Let h be x(-5). Let s = 464 + -597. Let j = h + s. Solve 0*a + 2*o + 26 = j*a, 2*a = 5*o + 33 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (39\/9 - 3) + (-222)\/153. Which is the closest to -6\/7? (a) v (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17776 divided by -101?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-197)\/15 - (2 - 1). Let w = 47\/85 + -6\/17. Let p = v - w. What is the common denominator of 5\/4 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k**2 + 4*k - 4. Let c = -59 - -60. Suppose -8*u = -3*u - 235. Calculate the remainder when u is divided by r(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 - 2037*m**2 + 8211*m + 10245 = 0. What is m?\nAnswer: -683, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + (-8 - -284) - -7. Which is bigger: m or -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:39 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40768 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 115 = -4*y. Let s(l) = 116*l**2 + 6*l + 2 - y*l**2 + 5 + l. Let q be s(-6). Solve q + 2 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 630 = 100 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3980 + -423a?\nAnswer: -7bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 4694?\nAnswer: 4694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00055809 rounded to five decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*4\/112*(-192)\/240?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 3*z + 5*z + (1 + 1 + 2)*(4*z - 2*z + 0*z) + (-1 + 1 - z)*(-1 - 2 + 2).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16064 or -16069?\nAnswer: -16064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + i - 6953 = -31382, 25 = 5*i. What is the remainder when g is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360597126 to the power of 1\/3, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*11\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/6)\/x))**(-4\/7)*((x**(-10)*x)\/x)**27 assuming x is positive.\nAnswer: x**(-5692\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -228 in 12, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 + 116613*v**2\/4 + 1106944641*v\/4 - 513522475521\/4.\nAnswer: 3*(v - 443)*(v + 19657)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 8*j + 5. Suppose -10*g = 2700 + 2300. Let s = g + 504. Give u(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 634\/4 - (-1)\/2. Let k be 6\/21 + 12\/7. Suppose -k*q + m = q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*p - 37, -2*p - 3*p = -5*d + 45. Suppose -163 - 257 = -d*y. Suppose 3*i - y = -2*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 15\/4, -0.5, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 591\/8. What is the common denominator of 23\/28 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 2*r - 8. Suppose -5*j = -l - 9 - 0, -3*l = 3*j - 9. Suppose -3*z = 4*k - j, -2*z + 8*k - 4*k = -28. Does 16 divide v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*10\/1*(-516)\/(-1548)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**(2\/17)*d))**(1\/16))**(-5) assuming d is positive.\nAnswer: d**(-75\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 286844 < 286880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03949 and -115?\nAnswer: -4.54135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -9018 and -9020 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (103 - 37) + -25.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*k**2 - 3)*(2 - 2*k - k - 4) to the form q + p*k**3 + g*k + b*k**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11726144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*u + u + 14, 0 = 4*u - 12. Let p = y + 2. Let j be (-3)\/(p*-3)*4. Solve -2 + j = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gadagaaga.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3413602*t**2. Let m(z) = -2*z. What is m(x(d))?\nAnswer: -6827204*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjk. What is prob of sequence kvj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.6 + 9.6. Let y be (39\/15 + -3)*-1. Let a = 0.2 - 0.1. What is the nearest to a in -1\/4, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 16?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -480 - -477. Let y be z\/2 + (-13)\/(-52)*0. Which is the biggest value? (a) 1\/10 (b) -45 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/5)\/(-1 + 136\/137). Let x = 124 - o. Let h = 1807 + x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4360392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)\/o*o**(2\/7))\/(o*o*o*o\/o**(3\/5)*o*o*o**2)*(o**(-2\/5)*o)**47\/(o*o*o\/(o\/o**(-2\/19))*o\/((o*o**(-1\/3)*o)\/o)) assuming o is positive.\nAnswer: o**(140509\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:13 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 - 23*i - 66. Let u be l(10). What is the highest common divisor of u and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -85*m + 2857. Let y be a(37). Sort -2\/9, y, -0.2.\nAnswer: y, -2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0548 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2855*c*g**3*t + 18*c*g**3 + c*t + 2*c + 8*g**2 + 2*g wrt t?\nAnswer: -2855*c*g**3 + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (1078\/4 - 1)*7\/((-182)\/(-7852))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5263 is divided by 1032?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3595.968 grams in milligrams?\nAnswer: 3595968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 27355. Let t(r) = 182*r. Give i(t(v)).\nAnswer: 546*v - 27355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 13*u + 2*u - 969*u**2.\nAnswer: -969*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.25? (a) 0.32 (b) -1\/4 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1089 and 23\/70620?\nAnswer: 2330460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 2*p**3\/3 - p**2 - p - 13. Let z be h(2). Factor -20*a + 4*a - 6*a**3 - 5 - 8*a**2 - z + 30*a**2.\nAnswer: -2*(a - 2)**2*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -20 (b) 1438 (c) 3\/2 (d) 7 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**2 + 2*a**2 - a**2)*(0*a + 5*a - 3*a) - 2*a**3 - 2*a**3 + 6*a**3 - 367*a**3 + 34605*a**2 - 34605*a**2 as r + z*a**3 + y*a**2 + m*a and give z.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21838 + 10877 + 10904 - 13*w.\nAnswer: -13*w - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2 = -5*c, -2*c - 5417 + 5407 = 3*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f - 15. Let a(d) = -25*d - 256. Let h(r) = 9*r + 93. Let j(p) = 4*a(p) + 11*h(p). Determine 18*j(m) - 2*v(m).\nAnswer: -2*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7777 + -8580.4. Let h = r - -714. Round h to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 8:15 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**5 - 15*j**5 + 2*j**5)*(-4 + 4 - 2)*(-5 - 4 + 2).\nAnswer: -294*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2753*s. Let v(q) = 2754*q + 1. Let l be (-8)\/6*(-63)\/14. Let u(z) = l*h(z) + 4*v(z). Let w be u(2). Round w to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9)*(-9)\/(-30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13095876.8 rounded to the nearest 1000?\nAnswer: 13096000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 6, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 25. Let q be (-3 - 2)*(-4)\/(-5). Let c = q + 7. Solve c*m - 4 = g*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-33)\/(-44))\/(1\/148) + 3?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45119800811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-91)\/7)\/91*(-14)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.2, 2, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5976297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.11 in -4.2, -0.4, -1\/5, 9?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a**3 - 3*a**2 - 2*a. Let b(z) = 2*z**3 + z + 2*z**3 - 5*z**3 + z**2 + 4*z**3. Determine -5*b(r) - 2*x(r).\nAnswer: -r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 1483*h**7\/42 - 73*h**4\/4 + 1873*h. Find the third derivative of s(f) wrt f.\nAnswer: 88980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(18)\/sqrt(3)) + sqrt(76)\/sqrt(4) + 0)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 - 22*n**2 - 28*n - 14. Let g(k) = -k**2 - 1. Let u(h) = 2*g(h) - r(h). Factor u(t).\nAnswer: 4*(t + 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3114240 times 35?\nAnswer: -108998400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.808 less than -0.074?\nAnswer: -5.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccccccccicccc. Give prob of sequence ic.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -v - 209 - 698, 0 = -2*w + 3*v + 1810. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 24 = -c - 4*k, -2*c + 2 = -2*k. Let b(g) = -3*g**2 + 4. Let z(x) = 7*x**2 - 9. Calculate c*z(a) - 9*b(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 + 6269*m**2 - 3280*m**2 + 0*m**3 - 2989*m**2.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -938833*a*x**3 + 2*a*x**2 + a*x - 130194*a + 2*x**2 wrt x?\nAnswer: -5632998*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-146740)\/(-2772) + -53)\/((-2)\/7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - 17*k**2 + 241*k\/3 + 385.\nAnswer: -(k - 7)*(k + 3)*(k + 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2422 - -1?\nAnswer: -2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 14 - 72 = 2*a, -4*a - 82 = -5*q. What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -113*s**2 - 2*s + 15*s + 114*s**2 + 22. Let f be o(-11). Suppose f = 10*w + 7 - 7. Solve -5*q + 0*q + 5*z = w, -16 = -3*q - z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 24*c - 385. Determine o(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = p - 2, 3*p = -2*g - 0*g + 6. Suppose -8 = -p*q - 4. Solve 0 = 3*k - q*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -657 - -0.1?\nAnswer: -656.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - u - 2)*(2146*u + 2020*u - 502*u).\nAnswer: -3664*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.4 in -1, 15\/7, -8\/7, -0.5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 506 - 511. Let y be 4\/(126\/(-30) - b). Let g(l) = -2*l + 3. Give g(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 11*p - 23. Let k be (-40)\/(-16)*(-36)\/(-15). Let h be f(k). Suppose h*w - 15 = 27. Solve -3*n = -w*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66312716 or 9?\nAnswer: 66312716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tstssts. What is prob of sequence tstt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/4524 and -56\/195.\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 806 = -c, -2*i + 0*i + 4*c = -514. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 1. Let q(p) = 3*p + 2. Let j(h) = 5*q(h) - 4*u(h). Let z(f) = 16*f + 31. Calculate 11*j(o) - 2*z(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(1 - -2). Let b = 0.05 - 0.1. What is the nearest to b in x, -0.1, -2\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 14240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61794573, 123589151, 185383729, 247178307, 308972885?\n\"Answer: 61794578*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 235?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26336 and 2784.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86 + 4*z**3 + z - 171 + 89 + (0*z + 3*z + z)*(-4*z**2 + 5*z**2 - 3*z**2).\nAnswer: -4*z**3 + z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.022*0.8.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3585, 14402, 32439, 57702, 90197, 129930, 176907?\nAnswer: 231134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-744)\/279*(-237)\/2 is divided by 248?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -44 (c) -13.2 (d) 0.3 (e) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d\/(d\/(d*d**(1\/7))))*d))*d)\/d*d\/(d\/(d*d*d**(-2\/131)))*(d\/(d\/d**(-2\/85))*d)\/(d\/d**36*d) assuming d is positive.\nAnswer: d**(2947751\/77945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96568 is divided by 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, 1, -5, -1.\nAnswer: -5, -1, 1, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 13. Suppose b = z*x - 3*x - 22, -2*b = 4*x - 28. Which is bigger: x or 9\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in -4\/9, 719\/9, -1\/4?\nAnswer: 719\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3671 and 3670 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -156*q**2 - 3109*q - 198. Give b(-20).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27802608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 22*k**3 - 12*k**2 - 6*k + 3. Determine a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-72) - (-5)\/6. Let h = -14 + 14. Sort -3, h, y in increasing order.\nAnswer: -3, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 1, h: 3, z: 2}. Give prob of picking 1 o and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-9)*3*-3. Let g be (2 - 12\/r) + 1. Is 272\/4 + 3 + g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w*(w\/w**3)\/w)\/w)*w*w)\/w)**12*(w**(-3))**(-7\/3) assuming w is positive.\nAnswer: w**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 6:13 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let a(s) be the first derivative of -35\/2*s**2 + 56 + 0*s. Calculate a(t(y)).\nAnswer: 35*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/1302, 3, -0.2, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.45 times 3\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357091.\nAnswer: 7, 139, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*53\/318.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10429033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 11*k - 44. Calculate d(-12).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**16*s**(-3)*s**11\/s*s)**(-2\/23) assuming s is positive.\nAnswer: s**(-48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -12) + 13 + (-20)\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10330310 - -31231?\nAnswer: 10412041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a factor of 219645036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/(-15) - 13\/(-65).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4684.8386 to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p**2 + 24*p**2 - 6*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 15*l - 365. Let z be t(47). What is the greatest common divisor of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**2 - 2*d + 2. Suppose 2*f + 8 = 11*h - 9*h, 4 = 2*h. Give y(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9337 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 + 28424*m**3 + 15554*m**2?\nAnswer: 60*m**2 + 170544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.626, 1, -9248?\nAnswer: -0.626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-646)\/(-969))\/((-1)\/(15\/2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0 (c) -5 (d) 1\/32 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(6\/7*(17 - 10) + 1 + -5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/11 (c) 188 (d) -3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -12. Let i = -65.922 + -0.078. Let g = i + 64. What is the second biggest value in g, n, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2829 and 2176 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - f = -22, 0 = 5*r - f + 58 - 68 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230188329?\nAnswer: 3, 7, 74567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**2 + s**2 - 2*s**2)*(-1 + 1 + 2*s**2).\nAnswer: 22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 221 = -7. Let r = 74 - c. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2319, -4623, -6927, -9231?\n\"Answer: -2304*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 6.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4\/(-32)*4 + ((-1129765)\/14)\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 i when three letters picked without replacement from xixg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*r = -40 + 198, -4*h + 280 = r. Let c = -43 + h. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -10. Let m(s) = 5*s**2 + 2*s - 2. Let t(j) = -j**2 - j + 1. Let w(b) = g*t(b) + m(b). Let u(d) = 11*d**2 - 21*d**2 + 6*d**2. Determine w(u(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:12 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 32*f**2 - 3*f - 2. Let u be o(-2). What is the greatest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803207441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -392531 (base 13) to base 7.\nAnswer: -14461160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 323458 = 2*n, 5*n - 562777 - 245838 = -5*k. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*f = 144*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.05622 grams in micrograms?\nAnswer: 18056220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45 and -10.23.\nAnswer: 460.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 354872 + -126689489\/357. Let c = 10\/51 - j. Do c and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 3, -1\/5, -71, 5, -2, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-1 + 11 + (-13 - 64))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 10 = 34. Suppose 0*s = -2*s + z. Suppose 4*h - t - 40 = s*t, 0 = -5*h + 2*t + 53. What is the greatest common divisor of h and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.478576 months to decades.\nAnswer: 0.1956548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1585, 1838, 2091, 2344, 2597, 2850?\n\"Answer: 253*a + 1332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 227*y + 46. Let x be i(12). Suppose x + 220 = 13*c. List the prime factors of c.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 2, d: 1}. Give prob of sequence xs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -4*y + 4*y - 5*y - 23, -5 = 5*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13182*r**5*w**2 - 16*r**3*w**2 - r**2*w + 1388*r**2 - w**2 + w wrt r.\nAnswer: 790920*r**2*w**2 - 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**5\/3 - 25*z**4\/3 + 35*z**3\/3 + 5*z**2\/3 - 40*z\/3 + 20\/3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(sqrt(304) + 2) - sqrt(304))**2 + 2.\nAnswer: 32*sqrt(19) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 39. Let a be n(-41). Solve 4*y + g - 13 - 2 = 0, -5*g + 3 = a*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412514 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by (-28)\/12 - ((-66)\/9 - -8) - -97?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -26*u**2 + 3*u + 3. Let d(y) = -y**2 + y + 1. Let j = 5978 + -5975. What is j*d(i) - c(i)?\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 1678912?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p**3 - 163\/210*p**7 + 0*p + 0*p**6 + 0 + 3\/4*p**4 - 208*p**2 - 7\/60*p**5. What is the third derivative of k(g) wrt g?\nAnswer: -3912*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 39 - 9)*(19*s - 47*s + 23*s).\nAnswer: 240*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*z - 24*z + 21*z**2)*(-4 + 43*z - 33*z + 2).\nAnswer: 210*z**3 - 42*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 - 0.39. What is the smallest value in -0.1, l, 3\/4, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - r - 1. Let b(n) = 430*n**2 + 87. Let s(m) = -b(m) - 3*o(m). Find the second derivative of s(x) wrt x.\nAnswer: -872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**6\/15 - 121*x**3\/3 + 274*x**2 + 877*x. Differentiate z(i) wrt i.\nAnswer: 8*i**3 - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/3*((-10)\/(-50))\/(4\/(-30))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-32))\/d**(-43)*(d\/d**(1\/5)*d*d)\/(d\/d**(-5)) assuming d is positive.\nAnswer: d**(364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 287 + -233. What is the remainder when 201 is divided by b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8 + -3)\/(-11))\/((-13 + 14)\/117)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*-41)\/(1 + 16\/(-12)). Let w = c + -118. Solve 4*t - 11 = w*d, 4*d = -4*t - 6 + 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001000101 (base 3) to base 12\nAnswer: b99a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2000 and 37\/22.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 3*y**3\/2 - 8*y**2 + 13*y. Let v be b(2). Solve v*m + 6 = 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 247 + -243. Let m(v) be the third derivative of 0*v**s + 4*v**2 + 0 - 1\/40*v**6 + 0*v + 0*v**5 + 1\/6*v**3. Differentiate m(g) with respect to g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52\/5 + -10. Let m = 6.5 - 7.3. Let w = 0.5 + m. What is the nearest to n in 1\/6, 4, w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -32. Solve -2*v + 3*v + 5 = 4*i, -3*v - r*i = -13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/18)\/q*q*q)\/q)\/((q*q**(4\/11))\/q)*(q*q\/q**(-1\/7)*q)\/q**(-25) assuming q is positive.\nAnswer: q**(39811\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11548\/(-128) + -1)*-2. Let x = -59971\/336 + y. Calculate the common denominator of 64\/39 and x.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18622, 18623, 18624?\nAnswer: 18625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5592447491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/32*-2*1\/12?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -1\/2, 5, 6\/11, -4, -5 in decreasing order.\nAnswer: 5, 6\/11, -1\/2, -4, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(9\/8)*h\/(h\/(h\/(h\/h**(-22\/7)))) assuming h is positive.\nAnswer: h**(-113\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 6:38 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 11:59 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.138273 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73582440*y**3 - 87220704*y**2 wrt y.\nAnswer: -441494640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-104)\/39)\/((2\/(-1674))\/1). Let t = 15210 - a. Let b = t + -674915\/52. Calculate the common denominator of 67\/22 and b.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 8*b + 9. What is x(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-32 + 1458\/495*11)\/((-4)\/550)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -51. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-40))\/((-9)\/(-18)*(-13)\/((-585)\/4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4159, -4003, -3847?\n\"Answer: 156*d - 4315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 371 - 1245. Let m = s - -896. Sort 4, 2, m, -3 in ascending order.\nAnswer: -3, 2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253245 is divided by 1690.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197681022?\nAnswer: 2, 3, 7, 11, 193, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 525 + -45?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u + 2*l - 162, 4*u - 171 = l. Let m = 30 + u. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*t + 75*t = -5*t + 875. What is the closest to 0.1 in -4, -0.05, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/480)\/((-6)\/32) - -2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157\/370 - 14\/185. Let g = -0.36 + 0.06. Sort w, -2.2, g in decreasing order.\nAnswer: g, w, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -6*(sqrt(7) + sqrt(112)) + -3*(sqrt(7) + sqrt(343)))*6*1*1)**2.\nAnswer: -15552*sqrt(7) + 735408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103861 or 2596521\/25?\nAnswer: 2596521\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssossosssosssss. Give prob of sequence so.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/5 + 0)\/1. Let s be (84\/4)\/(a\/2). Let p(k) = k**2 - 13*k - 8. Is p(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3520) + (sqrt(3520) - (-2*sqrt(3520) - sqrt(3520))))\/(1*sqrt(11)*1))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*b - 4*o - 4, 5*o = -2*b + 25. Suppose -5*k = b, -6 + 0 = u + 3*k. Let f = 0.1 - 13.1. What is the fourth biggest value in 1, f, 0, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5854 less than -6095?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kot when three letters picked without replacement from {o: 1, t: 1, v: 3, k: 1, s: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -265, -381, -483, -565?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-305.8324\nAnswer: -21.408268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159 (base 14) in base 4?\nAnswer: 233023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -522.19 and 255639.\nAnswer: 255116.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35388 + 0.4.\nAnswer: -35387.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 8*g - 9. Calculate p(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 10*r - 24. Let j be (10 - (11 + r)) + -5. Solve 5*a = 0, k = -k + j*a - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 17319190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17 + -0.07. Is z at most 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3225 is divided by 378?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002614970248 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921752216 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -1)\/((-4)\/(-56)). Let f = t - -24. Let n = 63 - 45. Calculate the remainder when n is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0171604 to four decimal places.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -1\/2 (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 37016*k - 5 + 4.\nAnswer: 37016*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 36*f + 45. Let w be x(-4). Let h = -297.4 - -298.4. Which is the third smallest value? (a) h (b) w (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kigkkkgugiuigggggii.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, -4, -63, -18, -0.5, 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooo. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -54*n - 27. Let s(u) = -u - 1. Let m(k) = -27*s(k) + x(k). Let c(j) be the first derivative of j**3\/3 - 5. Give c(m(a)).\nAnswer: 729*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 - 26 = 5*k. Suppose 0 = -5*b - 2*w - 2*w + 19, 4*w + 11 = 5*b. Suppose -90 = b*h - 411. Calculate the remainder when h is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -48.\nAnswer: 19\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/2 + 57*f**3\/2 + 165*f**2\/2 + 163*f\/2 + 27.\nAnswer: (f + 1)**3*(f + 54)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.6 rounded to zero dps?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/24)\/(937\/3748))\/(2*(-1)\/30)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 6 + (-3 + 2 + 0)*(-3 + 1 + 0))*(5*w - 5*w + 2*w**2) to the form n*w**2 + q*w + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 + h**2 + 17*h**2 - 3*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*w**2 + 249*w**2 + 335*w**2 - 1583*w**2 + 334*w**2 + 327*w**2 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/5 and -167\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 - -0.01. Let s = n + -0.3. What is the closest to -1\/2 in 5, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 (base 10) in base 11?\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from kkookkokokko.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 53391.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16076119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b + 2*b)*(23*b**4 + 10 - 10).\nAnswer: 69*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 27*t - 8*t + 11*t. Let c(w) = -415*w - 406*w + 1652*w - 414*w - 415*w. Give y(c(z)).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = -20, -3*g = -d - 103. What is the remainder when 59 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/332886 and -41\/654.\nAnswer: 332886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-1 - 9 - -17)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -156, -322, -488, -654?\n\"Answer: -166*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 13600*v**2 + 54376*v - 54368.\nAnswer: 2*(v - 6796)*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 38, 0 in increasing order.\nAnswer: -13, 0, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/35014 and 40\/539.\nAnswer: 2696078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - 4) - 0 - (419 + -423).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 8*m**2 + 4*m - 9. Let z be h(-7). Let y be 171\/15 + z\/(-30). Solve 5*j - y = 2*o, j = -o + 2*o + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k = 105. Let m be (0 + -4)*k\/(-2). Suppose -6*t = -t - m. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -129.25, -0.134, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10291 = 6*o - 10273 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50547157, -101094314, -151641471?\n\"Answer: -50547157*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38572 or 38664?\nAnswer: 38572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 4 - -2) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f - 4*f)*(5 - 4 - 3 + (1 + 1 + 0)*(4 - 3 - 2) + 0 - 1 - 2)*(3 + 11 - 3).\nAnswer: 385*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-21))\/(2\/(-70)*(-32450)\/2596)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from ekgqkgfkeg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895529 is divided by 2045.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2\/5 + 254451*f\/5 + 254452\/5 = 0.\nAnswer: -1, 254452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okp when three letters picked without replacement from pkktktotttottpkt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*s, -14 + 0 = -5*r + 3*s. Let g be (0 - r)\/(8\/(-56)). Suppose 3*m + 176 = g*m. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, e: 9, a: 1, f: 2}. Give prob of picking 1 e, 1 a, and 2 g.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/480*-100)\/((-5)\/105*1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -126, -290, -520, -816, -1178, -1606?\nAnswer: -2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 261 - 281. Are s and -2\/37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 22. Calculate the lowest common multiple of f and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 13) to base 2\nAnswer: 1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**4\/8 - h**3 - 2*h**2. Let z be j(-3). Solve -18 = 3*m + 3*u + 6, -z*m + 4*u - 3 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 364\/17 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - w)*(w - 3*w + 7*w) + (5*w - w - 3*w)*(-3*w + 3*w - 4*w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z - 5. Suppose z*n - 11 = 4*n. Let p be (-2)\/4*(-11 + n). Solve -5*l + p*b + 2*b + 30 = 0, -3*l + 3*b + 27 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51368.7944 to the nearest integer.\nAnswer: 51369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -507.9 + 507.879265. Round d to four decimal places.\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 2*c**2 + c - 2. Let h be s(2). Let i(a) = a**3 + 5*a**2 - 8*a - 8. Let l be i(-6). Suppose -b - l*b = h. Put b, 0.1, 0.3 in decreasing order.\nAnswer: 0.3, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10631, 11996, 14283, 17492?\nAnswer: 21623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 11 in descending order.\nAnswer: 11, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o - 206 + 217 = -5*g, -3*o - 6 = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**5 - 6*t**4 + 35*t**3 + 9300*t**2.\nAnswer: 60*t**2 - 144*t + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-10)\/75*-3 - 356\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0*j**3 + 0 - 1\/42*j**4 + 2*j + 0*j**2 + 1\/70*j**5. Factor x(h).\nAnswer: 2*h**2*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 - 80*v**4 + 495*v**3 - 1460*v**2 + 2000*v - 960.\nAnswer: 5*(v - 4)**3*(v - 3)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*r - 78 = 349*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 8*f - 12.\nAnswer: 4*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 8*t**2 + 6*t + 9. Let s be g(7). Let y = -48 - -52. Suppose y*u = -s*u + 324. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713315 (base 10) in base 11?\nAnswer: 447a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 8, -w + 0*w + 27*d = 20*d + 29 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -22*g. Let s(p) = 483*p - 483*p - 3*p**2. Give x(s(j)).\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0, 42, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*r - 17. Suppose -2*j - z + 1 = 0, -j - 6 - r = 5*z. Let q(l) = 11 - 13 + 18*l**2 + j. Let h(y) = 2*y**2. Give h(q(a)).\nAnswer: 648*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.27 + 129.73. Let v = 135 - q. Which is smaller: -10 or v?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190269 and 3915.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 6*f. Suppose -26 + 90 = u - 3*b, f = -u - 5*b + 24. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7439\/182 - 531\/13. Let y be 2\/(-9) + (-50)\/(-468). Let r = y - f. Is r bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 6101, 19, 4.\nAnswer: 0, 1, 4, 19, 6101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -20*m + 1 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s. Let q(u) = -1 - 1556*u + 1561*u + 1. Determine p(q(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 16. Suppose 0 = 4*y - 182 + r. What are the prime factors of y*(0 + (-3)\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-141)\/(-15) - 8)\/((-1)\/(-5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -29*o**2 + 2*o. Let h(c) = 2*c. Give h(f(d)).\nAnswer: -58*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 8)*(-23 + 94 - 28) - 4 + 0 + 3)*(3 - 5*y**3 - 3).\nAnswer: -855*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q + 81 = -159 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-1) - 2 - (32761\/1086 + (-21)\/18)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-10) - 16\/40. Let b = -39 - -35. Suppose 0*z + 13 = 2*m - 5*z, -z + 7 = 2*m. Sort m, g, b in ascending order.\nAnswer: b, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309627747.\nAnswer: 1309627747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 5*q - 53 + 28.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 6 - 3*v**3 + 4.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/6 - 1809\/54?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.229, 65, 3.12 in increasing order.\nAnswer: -3\/2, 0.229, 3.12, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0712278 to 4 dps.\nAnswer: 0.0712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -143725823?\nAnswer: -143725828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*f - 59*f - 67*f - 63*f - 62*f - 63*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1807 divide 880946833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 5*i - 7. Let o be n(-7). Let p(k) = k + 1 - 5*k + o*k. Determine p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 - 4*q**2 + 7*q**2 + 3*q**2. Let m be n(2). Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(425)*1 + 1)*1.\nAnswer: -25*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 14) to base 4.\nAnswer: -3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3840841 is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 397 - 198 = 0. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356048 = 231*p + 353969 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8480989 centuries in years?\nAnswer: 84.80989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 0.4?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2494088 to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 17 = -7. Suppose k + 52 = 4*o, -3*k + 17 = -5*o + 75. Let g = n + o. Calculate the highest common divisor of 72 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 10*t**2 + 11*t - 18. Let x be g(9). Solve -3*l + 11 = 2*r + 1, -l + 2 = x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-1)\/2) + 177\/118. Let u be 1*6\/9*18. Let n be 6\/24 - (-1)\/u. Which is the closest to v? (a) n (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:14 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(60)*2)\/(sqrt(640) + sqrt(640)*2 + sqrt(10)))\/((sqrt(30)\/sqrt(2)*-1)\/(sqrt(10)\/(-2*sqrt(2)) + sqrt(5))).\nAnswer: -6*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -534*a**4 - 6*a**3 + a**2 + 18833*a?\nAnswer: -6408*a**2 - 36*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13528997, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 122913 - 35487. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.024, -5, 4.5 in decreasing order.\nAnswer: 4.5, -0.024, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.5, 2\/3, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -495 - -498. Let o = -257 - -1025\/4. Put f, o, 0.1, -5 in descending order.\nAnswer: f, 0.1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*d + 132*d - 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 - w**2 + 5*w**2 + (-5*w + 2*w + w)*(3*w - 3*w + 2*w) - 21*w**2 - 16*w**2 - 7*w**2 to y*w + c*w**2 + s and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1713?\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((82\/(-12))\/((-16)\/24))\/((-2)\/(-360))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47496?\nAnswer: 2, 3, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 429 and 321282.\nAnswer: 3534102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -347899 - -815322. Suppose -3*r = 8867423 - c. Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 5*s**4\/2 - 15*s**2 + 1241*s - 186. Differentiate j(q) wrt q.\nAnswer: 30*q**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130270 < -131047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-6)\/16)\/(72\/(-6912))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2683 and 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.6 - 8. Let k = -0.6 - t. Let w = -0.2 + 0.7. Which is the third smallest value? (a) 0.2 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 8*z - 24 = 61, -5*h - 13*z + 39 = -9*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 80. Suppose 2*v + 3 = -c, 3*c - 8 = v + 11. What is the remainder when u is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-1 - 3) - -15610. Suppose 6*w - u = 31791. What is w rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54055670 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146482 - -38671201\/264. What is the common denominator of 61\/440 and o?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28685.053 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54150\/95)\/(-19)*8\/6.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1637557851 to the nearest integer?\nAnswer: 40467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + 25\/(-5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 - 125\nAnswer: -125.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -454 + -126?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65082 less than 38546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyj when three letters picked without replacement from {d: 1, s: 1, o: 3, j: 3, y: 2, k: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + 3*n + 3. Let r(i) = 3*i**2 - 2*i - 2. Let c(k) = 3*r(k) + 2*y(k). Let s be c(1). Suppose -z = -3 - 0. Put 5, z, s in descending order.\nAnswer: 5, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2330 - 4659\/2. Let x = 0.29 + 0.11. Put x, 7, a in ascending order.\nAnswer: x, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 495370772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2. Let t(y) = -y**3 + 5*y**2 + 8*y - 8. Let m be t(6). Let g(h) = m - 2 - 2 - h. Determine r(g(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -57*d + 57*d + 59*d**2 - 40*d**2. Let k(p) = -3*p**2. Calculate g(k(a)).\nAnswer: 171*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3932*b - 16035 = 4155*b - 8442*b - 56860 for b.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/50886 and -23\/6121740?\nAnswer: 202017420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 2}. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5703 and 23100333.171.\nAnswer: 23100333.7413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 479181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3550?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -68. Suppose 3*q - 5*j = 44, 0 = q - k*q + 3*j - 38. Find the first derivative of -3*s - q*s**2 + 39 + 2*s + s wrt s.\nAnswer: -46*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5 + 2*o + 105*o**2 + 112*o**2 - 214*o**2 - 4*o**4 - 10*o**4 as m*o**3 + j + g*o + t*o**4 + v*o**2 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 122 + 63\/2*u + 1\/4*u**2.\nAnswer: (u + 4)*(u + 122)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1156 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 13483089.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**3 + j**2 + 3*j - 3. Let i be -2*(2 + 2\/(-4)). Let t be q(i). Suppose 0*b - t = -3*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.327 and -2.\nAnswer: 0.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/120)\/(19*5\/6175)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -91*a**3 - 6*a**2 + a. Calculate u(1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 2*l + 4. Let o be m(0). Differentiate 0 + 4*x**o - 9 + 3 with respect to x.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 - -8.4. Let q = r - 5. Let a(d) = -2*d + 3. Let n be a(2). What is the nearest to n in 1\/4, q, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from uumuumu.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 6*b + 12 = 0. Suppose 6*x = b*x + 5*d - 11, -x - d = -4. Solve 3*g + 3*h - x = 8, 0 = -2*h - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*-4*((4*sqrt(300)*2 - sqrt(300)) + -1 + -2*sqrt(300)))**2*-5.\nAnswer: -24000*sqrt(3) + 1800240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69692 and 212800.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 8.273.\nAnswer: 5.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -172 and -0.1.\nAnswer: -172.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 12187008?\nAnswer: -12187013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2401469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 10. Let l be (-6)\/12 - (-130)\/m. Let j = 55 + l. What is the lowest common multiple of j and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1)*(-3)\/6. Suppose p*i = 4*i - 48. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6198185 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 12. Let c be t(-12). Suppose 4*f - 432 = -c*f. Let q = 158 - f. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5302 times 0.31944\nAnswer: 1693.67088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 250437?\nAnswer: -250408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 91. Let q(w) = 3 - 76*w + i*w - 15. Let l(f) = -6*f + 8. Let u(k) = 6*k - 9. Let s(d) = -4*l(d) - 3*u(d). Determine -5*q(v) + 12*s(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.921 + 10. Let l = -3.821 - j. Let v = l - -4. Which is the third biggest value? (a) -0.3 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17767511 to the power of 1\/2, to the nearest integer?\nAnswer: 4215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:20 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 3*r**5\/20 - 5*r**4\/24 - 5*r**3\/3 + 2*r**2 + 38. Let q(p) = -10*p**2 + 5*p + 10. Let o(s) = -6*q(s) - 5*t(s). Factor o(d).\nAnswer: 5*(d - 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180854568 is divided by 66.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**5\/7 - 13158821*v**4\/7 + 82242529*v**3\/7 - 177643790*v**2\/7 + 144746764*v\/7 - 3759656 = 0.\nAnswer: 1\/4, 2, 3289699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 60 = -9*p. Suppose p*f = 7*f + 378. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 74 + -2c27a?\nAnswer: -2c206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/575 - -46379\/838925. Let z = o + -29194\/10213. Calculate the common denominator of z and -29\/17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {g: 1, q: 1, k: 1, n: 1, e: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0 + 0*y**4 + 0*y - 1\/15*y**5 + 0*y**3 + 16*y**2. Let r(d) = d. What is m(r(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-64)\/80*(-190)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:17 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*p = 89 - 98, -3*y = 3*p - 6. Solve 0 = m + 2*o - y, -8*m + 9*m + 20 = 5*o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141541791.\nAnswer: 3, 47180597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Suppose -16*o + 9*o - 35 = 0. Let v = h - o. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 88?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, 0.09, 4.5, 2\/9?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*d + 55, -2 = d - 1. Suppose 94 = 8*l - c. Solve -3*t = 4*u - l, -5*t + u + 11 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5753 times -3\nAnswer: 17259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 - 15*h\/4 + 4.\nAnswer: -(h - 1)*(h + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 126*m**2 + 1 + 414*m**2 - 156*m**2 - 127*m**2 - 4.\nAnswer: 5*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49971 + 52294.3. What is y rounded to the nearest 10?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 1087 + 1085 = -4*c, 2*c + 3 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7952.5 times 6?\nAnswer: 47715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2536.0004093 + -2536. What is l rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -16 (b) -2 (c) 1 (d) -1\/7 (e) 3\/68\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k**2 + 4*k - 99*k**2 + 49*k**2.\nAnswer: -10*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47348 and 16492.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -64 - -30 - (-3 + (-1 - -13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3759843 to the nearest integer?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -11*p**3 + 5*p**2 + 2*p - 154. Let j(n) = 10*n**3 - 4*n**2 - 3*n + 154. Let q(w) = 2*j(w) + 3*x(w). What is the first derivative of q(g) wrt g?\nAnswer: -39*g**2 + 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-364)\/420*-12)\/((-4)\/(-10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 4. Let w = 167 - 97. Suppose 0 = 7*i + 3*i - w. Calculate k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 13*y**4\/4 - 17*y**2\/2 - 8. Find the second derivative of q(d) wrt d.\nAnswer: 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 118001*u - 1. Suppose 100 = -4*w + 8*w. Let n = -24 + w. Let d be i(n). What is d rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**8\/6720 + c**7\/504 + c**6\/120 - 7*c**4\/8 + 4*c**2. Let t(w) be the second derivative of m(w). Give t(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576\/(-560) - (-3)\/7\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xosxlyyllsjllylolxs. Give prob of picking 1 y, 1 x, and 1 l.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -10*r**2. Let s(v) be the second derivative of -6*v**3 + 1547*v. Calculate c(s(y)).\nAnswer: -12960*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 52*y**2 + 75*y - 802. Is b(51) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47926709479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/2)*(x**(-17)\/x)\/x assuming x is positive.\nAnswer: x**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 + 3. Let d(v) = v**2 + 1. Let z(m) = -3*d(m) + g(m). Let s(q) = -2*q - 3*q + 3*q + 3*q. Give z(s(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6843*s**2 + s**3 + 6860*s**2 - 3*s + 6 + 2*s**3 as p*s + g*s**3 + j*s**2 + y and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2704? (a) 0.3 (b) -1.183 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - k + 0*k = 51, 0 = -4*q + 3*k - 56. Let i(v) be the first derivative of -7*v**2 - 37*v - 194. What is the hundreds digit of i(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 170299\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6400944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33680145 a multiple of 1485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = -2*r + 446, n + 443 = 2*r. Suppose -113 = -5*p + r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 - -1851. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 471*o**4 - o - 510*o**4 + 109*o**2 + o wrt o?\nAnswer: -936*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 11*m + 96. Let d be n(-17). Let t be (d\/16)\/(46\/(-8) + 5). What is the second smallest value in 3, t, 10, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n**2 + n + (-n + 2*n - 3*n)*(2*n + n - n))*(-3*n**2 + 2*n**2 - n**2).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - x + 182 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -595*m**3 - 3*m**2 + 3*m + 1. Give g(-1).\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/38 and -47\/133?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/(-36)*(-16)\/6. Differentiate t - 2*t + y*t + 6 - 1 with respect to t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2.6, 1\/2, 530.11 in descending order.\nAnswer: 530.11, 2.6, 1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -115612527*b**2 - 169598714?\nAnswer: -231225054*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 154 = 190, 0 = 5*k - l + 29 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7977687 to the power of 1\/2, to the nearest integer?\nAnswer: 2824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71815, -71814, -71813, -71812, -71811?\nAnswer: -71810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/15 - (-6)\/(-10). Suppose 5*j = 2*j + 3. Let z be (j\/(-2) + 1)*2. Do k and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkbjjjjyjjjybjbbjy. What is prob of sequence bb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 1334*l**3 + 5*l - 657*l**3 - 1 - 2*l**4 - 671*l**3 as i*l + f*l**4 + u*l**3 + z*l**2 + a and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -27, -48, -75, -108, -147, -192?\n\"Answer: -3*d**2 - 6*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113559961531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w - 59. Let z be s(7). Which is the closest to 1\/2? (a) -2 (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 848\/(-32)*(-6)\/159.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d + 3*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1, -2836?\nAnswer: -2836","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.87 + -32.87. Which is the closest to 5\/8? (a) 2 (b) i (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/13)\/(l\/(l*l*(l\/((l\/(l*l**3))\/l)*l*l*l*l)\/l)))\/((l*l**(-9))\/(l**4\/l*l*l)) assuming l is positive.\nAnswer: l**(280\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/19 - 22*i**4\/19 - 68*i**3\/19 - 92*i**2\/19 - 58*i\/19 - 14\/19 = 0. Calculate i.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1098 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 13. Suppose -g + 4*i = -42, 0*g - x*i - 86 = -3*g. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzl when three letters picked without replacement from hilyffzfzzzffzil?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 189.82 (c) 3 (d) 0.5 (e) 7 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -5, -1\/15 in decreasing order.\nAnswer: -1\/15, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 21925*o**4 + 21904*o**4 - 3 + o**2 + 2*o**3 to x*o**3 + q*o**4 + b*o + i*o**2 + u and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102132929?\nAnswer: 89, 1147561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18029821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58 - 110 + 51 + 45*c + (-2*c + 0*c + 0*c)*(1 - 1 - 2).\nAnswer: 49*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30860 = 12*a + 8*a. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 7090*l**7\/21 - 12113*l**4\/12 - 9582*l. Find the third derivative of b(v) wrt v.\nAnswer: 850800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10709979 and 60?\nAnswer: 214199580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + (-4 - -10) + 85 + -115?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/10)\/(((-53)\/530)\/((77\/(-4))\/(-7)))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9838296 and 6811128?\nAnswer: 88544664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9138 (base 14) to base 15\nAnswer: 75cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/36)\/(0 - 5\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -30)*(-662)\/2912 - -5. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304082 (base 10) in base 11?\nAnswer: -198509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let p(l) = -l**3 + 4*l + 2. Let w(h) = h**2 - h - 1. Let i(r) = -p(r) - 6*w(r). Determine i(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265 divided by 35960\nAnswer: 53\/7192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c - 3. Let x(z) = 7*z - 4. Let i(k) = 4*d(k) - 3*x(k). Let n = -153 - -156. Let f(h) = -4*h + 1. Calculate n*i(y) + f(y).\nAnswer: -7*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -195, -471, -751, -1035, -1323?\n\"Answer: -2*u**2 - 270*u + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + -6 + 45 + -24 + 9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -626*k**7\/105 - k**4\/24 - 55*k**3\/3 - 102*k**2 + 2. Find the second derivative of y(i) wrt i.\nAnswer: -15024*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 + 23*l**2 + l**3 - 8*l**2 - 6*l**3.\nAnswer: -14*l**3 + 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:09 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141336.\nAnswer: 2, 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -c3d4 (base 15) to base 11\nAnswer: -290a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-2*d**2 + 4*d**2 - 3*d**2) + 5*d**2 + 3*d**2 + 8*d**2 - 2*d**2 + d**2 + 0*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 232, 910, 2048, 3652, 5728, 8282, 11320?\n\"Answer: f**3 + 224*f**2 - f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/828 and ((-20)\/40)\/((240\/(-151))\/4)?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4*466\/10. Let v = k + -114. What is the common denominator of v and (-74)\/(-24) - -2 - 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - -13)*-1*5. Let c(k) = -183*k - 10. Is c(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/255*-10*(-3)\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5, -67*a + 63*a - 4 = -2*f. Put 1, 2\/7, -0.5, f, 0.5 in ascending order.\nAnswer: f, -0.5, 2\/7, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*f)*(2*f**2 - 2*f**2 + 2*f**3) + 2*f**4 + 4*f - 4*f + 1466*f - 737*f + 117*f**4 - 739*f.\nAnswer: 115*f**4 - 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.7272, -83, -4 in decreasing order.\nAnswer: 4, -1.7272, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 4*o + o**2)*(20 - 3 - 3)*(-3*o + 0*o + 4*o) in the form r + w*o + x*o**2 + j*o**3 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 31*l - 359. Does 95 divide t(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 7335068*n**2 + 22005186*n.\nAnswer: 2*n*(n - 3667531)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 9. Let g = 8 + 17. Suppose -3*q = -0*q - 5*b + g, 5*q + 27 = b. Let t(p) = -2*p + 5. Calculate q*t(y) + 3*a(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 7*d**2 + d - 5. Let v be i(7). Let w be (-4)\/(-3)*v\/(-16). Let n = 2 - 1. Which is bigger: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8791*y - 87930. Give w(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 28 = -4*b, -b - 3*b - 5*j = -8. Let n(w) = -w**3 - 12*w**2 - w - 13. Let t be n(-12). Sort 3, b, t in descending order.\nAnswer: 3, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*x + 3539, -2*x - 5*i - 523 = -2270. List the prime factors of x.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/22 + (-13)\/(-143). Solve -i*u - u - 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.04 (b) 1\/7 (c) 3\/16 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 61*f + 25. Let s = 418 + -399. Does 4 divide h(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/120 + 7*r**5\/30 + 13*r**4\/24 + r**3\/2 - 2*r**2 + 18*r. What is z(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*y - 96 = -722*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(3\/(-1))*5)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocooaoooaaaco. Give prob of sequence coaa.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 15. Let g(u) = -2 - 4 - 2 + u**2. Let d(n) = -5*g(n) + 2*s(n). What is d(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131 + 102?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 5 + 9 + 3*d + 4*d**2. Let u be m(3). Let j = u + -30. What is the greatest common divisor of 128 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142568 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -0.2713 (c) 2\/11 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 30 = 32*j + 78 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 11*m. Suppose -12*s = -4271 + 4319. Let l(b) = -2*b**2 + 10*b. What is s*o(p) - 3*l(p)?\nAnswer: -2*p**2 + 14*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/395352 and -143\/2280.\nAnswer: 1976760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**2 - 5*j - 4. Let y be h(-1). Let c(r) = -r**2 + 5*r - 3. Determine c(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240*u**3*z**3 - 1797*u**3*z**2 + 3*u**2*z**2 - u*z**3 - 5999*z**3 + 6016*z wrt z?\nAnswer: -1440*u**3 - 6*u - 35994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5364 (base 7) in base 9?\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 3474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 490 + -82. Does 68 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9410508.\nAnswer: 2, 3, 173, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 9:44 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 9*x - 3. Suppose -25*q = 102 - 302. Let a be k(q). Solve -z - 9 = n, 0 = -0*n - 2*n - a*z - 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) + 436452\/40. Let l = j - 10902. Let d = 8145\/28 + -1145\/4. What is the common denominator of l and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, -3 in decreasing order.\nAnswer: 18, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = k. Let s be 1*-1 + (-9 - -6). Are k and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 8. Suppose 5*p + 117 = 18*p. Suppose 0 = 2*i + r - p, -6 + 21 = -5*r. Calculate u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/6*(-3)\/2. Let r = q + 18. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i + 2. Let p(l) be the first derivative of -l**3\/3 - 34. Determine g(p(d)).\nAnswer: 6*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5755 - 5751. Let t(y) be the first derivative of 8*y + 41 + 1\/4*y**k + 2*y**3 - 7\/2*y**2. What is t(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8916351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-12)*o**(2\/3)*o)**(-32) assuming o is positive.\nAnswer: o**(896\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 2*f**2 + f - 1. Is l(3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -324*j**2 + 26*j**2 - 241*j**2 + (3*j - j - 4*j)*(j - 4 + 4).\nAnswer: -541*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/16, 0.1, -0.5, -2, 0.4, 103222?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 23. Let c be z + 2*(-2)\/1. Does 8 divide (-93)\/(-7) + c\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66431086?\nAnswer: 2, 103, 389, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) -5 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/447940 and 65\/89588.\nAnswer: 447940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 36 = -2*j, -7*v + 2*v - 32 = 4*j. Let t be (-26)\/(-104) + (-14)\/v. Which is the third smallest value? (a) -1\/6 (b) 3\/5 (c) t (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 3*b + 3. Does 3 divide q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6) + -4 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 23*n**2 - 36*n - 198. Calculate the remainder when l(-21) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 735 + -a?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 8. Let u be (-32)\/(-14) + 14\/(-49). Solve s*a + 8 = u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.059 * 3.\nAnswer: -0.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725 - (-5 + -1 - -6).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/66*2640\/560?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15285 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7793310 - 20169117 - 9798*l - 1541*l - 3*l**2 - 6979*l.\nAnswer: -3*(l + 3053)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2330 + -722631?\nAnswer: -725161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*o**4*s - 3008088*o**2*s**2 + 235354363*o*s**2 wrt o.\nAnswer: -408*o**2*s - 6016176*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 6:04 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**2 - 30*n + 16200 = 0.\nAnswer: -60, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/322 - -7970\/161. Calculate the common denominator of 37\/59 and z.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47996 and 852.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -c - v - 5, -5*c - 20 = -4*v. List the prime factors of (-24)\/(-2) - (0 - c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**4 + 100226 - 100225 - 7*x**4 - 638*x in the form a*x**3 + f*x + m*x**4 + d*x**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 585 + -533. What is the highest common factor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43 + -0.07. Let o = 44.9 + -45. What is the closest to o in -4, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -67, -78, -85, -88, -87?\n\"Answer: 2*x**2 - 21*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.038994 or -22.5?\nAnswer: 0.038994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/20 - 3*y**2. Let v = -2 + 7. Let p(i) = v*i - 2*i - 2*i. Determine j(p(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 68. Suppose 3*o = 17 + i. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 7*p + 6. Suppose -12 = n - 6. Let s be b(n). Solve s = -5*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 42. Which is the biggest value? (a) -5 (b) -2\/13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 301274556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2130*(-4)\/((-400)\/(-1380))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17772218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 293 = -123 + 559 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 56*p\/5 - 64.\nAnswer: -2*(p + 8)*(p + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10010001011111010110101000?\nAnswer: -10010001011111010110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438228939?\nAnswer: 3, 19, 449, 17123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-254)\/84 - (-1)\/(-3) and -47\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01525129 and 0.1.\nAnswer: 0.001525129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73.9 - 69.9. Let p be (-1 - (0 + 0))*-1. What is the closest to p in z, 2\/15, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (9\/6 - 138\/20). Suppose -53*x - 1 = -54*x. Let o(m) = -2*m. Let g be o(3). Which is the closest to q? (a) -3 (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.3, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 14, 1.\nAnswer: 0, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 10*j + 14*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a litre in millilitres?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*x - 18, -l + 36 = -4*x + 4*l. Let r be x + 11 - (-12)\/(-1). Calculate the smallest common multiple of 5 and (r\/(-4) + 1)*2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**5 + 3*x**4 + x**3 + 3*x**2 + x. Let v(f) = 2 + 0 - f**2 + f**5 - 2. Let s(q) = l(q) + 6*v(q). What is h in s(h) = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*h - 3*a, -h - 3*a + 8*a - 7 = 0. Suppose -8*q + h*q = -75. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + g**2 + g. Let k be o(0). Let r be (-22)\/(-8)*(-10 - -14) - 8. Solve 0 = r*x - 5*z - 1, 3 = 3*z - k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5487185?\nAnswer: 5, 11, 99767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36697847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49764)\/(-3393))\/((-22)\/(-138))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 - 17*m**2 + 4*m - 1. Let s be u(3). Let z(x) = -x**2 + x + 53. Give z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2, 5*m - 34 = -0*b + 2*b. Let w = 22 + m. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 12) + (-27 - (-7 + 17)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5119724 divided by -5119724.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/90*13\/(-78)*-3.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) -2 (c) -11445 (d) -0.3 (e) 0 (f) 5 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56126912 divided by -1216?\nAnswer: 46157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 21*t + 105. Let u be k(-5). Let a(y) = y + 8. Determine a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 11 = 3. Suppose 8*v = 4*v + 196. Let p = v + -8. What is the remainder when p is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 14298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 824 and 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:22 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9012\/(-40) + -2 - 116\/(-145). Is s equal to -226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - 24. Suppose -107 = -11*v - h. Solve -5*q + 4*y + v = 0, -4*q - 5*y - 3 = 34 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 138, 149, 170, 207, 266, 353, 474, 635?\n\"Answer: c**3 - c**2 + 7*c + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33333, 33301, 33249, 33177?\nAnswer: 33085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 1. Let m(z) = -z**2 - 31*z - 9. Let p(q) = 18*h(q) + 2*m(q). Factor p(b).\nAnswer: -2*b*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from itlslssilissllmsiti.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -5.7. Let h = -343 + 343. Which is the closest to 2? (a) h (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*i - 137*i - 139*i - 132*i + 695*i - 17*i**3 - 145*i.\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 834 + -830. Let j(x) = -2*x**2 + 5*x - 10. Calculate j(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i + 4*n - 86 = 48*i - 108*i, 0 = 4*i - 3*n - 80 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*u**2 + 0 + (-3*u - 2*u + 4*u)*(-2 + 2 - u) - 7*u**2 + 3*u**2 - u**2 to n + f*u + k*u**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 5, -5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500 and 450.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-15)*1 - 6099\/285?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 196147138 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5698770.\nAnswer: 2, 3, 5, 7, 11, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 936, 1345, 1238, 621, -500, -2119?\nAnswer: -4230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -856, -5, -10 in descending order.\nAnswer: 1, -5, -7, -10, -856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**4 + 172520*k**3 + 3*k**2 - k - 2195262 with respect to k.\nAnswer: 4*k**3 + 517560*k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010 = 8*b - 12654. Solve -4*g = -b + 1700 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*4)\/(-1 - 0). Suppose -g + 74 = 2*r + r, 4*r = -g + 97. Let o = y + r. Solve o = -4*c - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 + 4*l + 3. Let k(v) be the third derivative of v**5\/4 + 3*v**4\/8 + 7*v**3\/6 + 272*v**2 + 2*v. Calculate 6*k(w) - 14*x(w).\nAnswer: -8*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48258848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let q(r) = 327*r. Give t(q(s)).\nAnswer: 327*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-324))\/(10\/15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87691, 175524, 263357?\nAnswer: 351190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 64538.12 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2088 or -2107?\nAnswer: -2088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -462*k. Let h(p) = -3*p. Calculate s(h(j)).\nAnswer: 1386*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 1, a: 2, l: 3, u: 1}. Give prob of picking 1 a, 1 e, 1 l, and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d**5 - 16*d**4 + 11*d**2 + 11*d - 11. Let h(a) = 3*a**5 - 3*a**4 + 2*a**2 + 2*a - 2. Let o = -1 - -5. Let u(f) = o*w(f) - 22*h(f). Factor u(v).\nAnswer: -2*v**4*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7229741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7*r + 19 = -3*f, 0 = 2*r + f - 1. Suppose -w = 4*d - 3, r*w - 5*d = -6 - 1. Let g = -6 - -2. Put 5, w, g in ascending order.\nAnswer: g, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*p**2*w**3 - 27*p**2 + p*w + 46*p + 10*w**3 wrt p?\nAnswer: 20*w**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192221766?\nAnswer: 2, 3, 11, 970817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + 7*i**2 + 7*i - 7. Let o(p) = -p**3 + 4*p**2 + 4*p - 4. Determine -4*f(g) + 7*o(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h. Let s(r) = -21*r**2 + 3*r - 6. Let j(q) = -q + 2. Let b(u) = -3*j(u) - s(u). Determine i(b(y)).\nAnswer: 63*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3382 and 35\/178?\nAnswer: 3382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.31\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 49*d - 62*d = 283, 311*d - 314*d = -17*t + 83 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*q - 289 + 877 - 297 + q**2 - 293.\nAnswer: q**2 + 159*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 2 (c) 1\/4 (d) 14 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-7)\/(-28))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/33)\/c)\/c*c**10 assuming c is positive.\nAnswer: c**(295\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.032*-0.02467398\nAnswer: -0.00078956736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/166 and 33\/5?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8100751?\nAnswer: 1303, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373179, -373161, -373141, -373119?\nAnswer: -373095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-103)\/(-22) + -5)*(-4)\/(-7)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z**4 + 6 - 6)*(z - 5*z + 6*z)*(3 - 2 - 3) + 2*z**5 - 5*z**5 + 4*z**5.\nAnswer: -3*z**5 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 2556 = -3*b, -5*z = 3*b - 4270. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 279*t - 7628 = -281*t, 2*t + 16 = 0. What is the lowest common multiple of 104 and p?\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 514, 1037, 1570, 2119, 2690, 3289?\n\"Answer: w**3 - w**2 + 519*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14*k**2 - 66*k + 280. Let b(o) = 3*o**2 + 12*o - 56. Calculate -11*b(g) - 2*p(g).\nAnswer: -5*g**2 + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -20022?\nAnswer: 20031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 19*j + 3. Let y be a(5). Let x = y - 31. Let u = -32 + x. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*l + 2*x, 5*l + 2*x = 4*x - 33 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -240971 and 13.3.\nAnswer: -240957.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p - 53*p - 22 = -z, 4*z = 8*p + 48 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.96407 kilometers to micrometers.\nAnswer: 10964070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 22*u**2 + 0*u**6 + 1\/12*u**8 + 29\/24*u**4 + 0*u**7 + 0*u + 0 + 0*u**3 + 0*u**5. Find the second derivative of l(w) wrt w.\nAnswer: 560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k. Let v be ((-90)\/(-20))\/(1\/2). Suppose -3*w + v = -12*w. Determine j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 - 2*p + 13. Let n be 14 + -15 + -1 + 4. Let c(h) = -28*h**2 + 9*h - 51. Let o(f) = n*c(f) + 9*x(f). What is the derivative of o(r) wrt r?\nAnswer: 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -14. Let o be (c + -10)*(-2 + 3). Let r be (9\/6 - 2)*(o - -1). Solve -4*j + 3*j = -r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 563 - 561. Solve 0 = a + 2 + 1, 5*d - 26 = f*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3\/8 (b) -0.1 (c) 1\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 + 6*j + 7. Calculate p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -140, -417, -948, -1817, -3108, -4905?\n\"Answer: -14*l**3 - l**2 - 6*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 times -0.3?\nAnswer: 23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8792 - -8786. Sort 33, 2, 3, t, 4 in ascending order.\nAnswer: t, 2, 3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 25.3 (c) -0.082 (d) -588\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102876 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.857995 micrometers to meters.\nAnswer: 0.000006857995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(3*(-6)\/(-648)). Suppose -8*r = -5*r - 2*s - j, 5*r - 3*s = 29. Solve -l - l = m - 13, r*l = -5*m + 41 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769356430.\nAnswer: 2, 5, 17, 1801, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2692 is divided by 2683.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(405)*2 - sqrt(405))*1 - (2 + sqrt(405) + -3))*6)**2 + 3)*3.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 21798?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 + -36 - (4 + -4 + -77 + -10)) + -1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/7 + 8*q**3\/7 - 61*q**2\/7 + 52*q\/7.\nAnswer: q*(q - 4)*(q - 1)*(q + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 12) in base 3?\nAnswer: 12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 9 = 4*k, k = -0*k + 3*l + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 7. Let q(x) = -4*x + 7. Let n(p) = -4*q(p) + 3*w(p). Let g be n(9). Factor -1\/2*r**g + 1\/2 + 0*r.\nAnswer: -(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-8 + -2) - 5 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99*o**6 - 24*o**5 - 5*o**3 - 3415*o**2 + 2*o + 6?\nAnswer: 11880*o**3 - 1440*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = -15*r - 369 + 90 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15*v - 18*v = 38988, 2*v = -6. Calculate the greatest common divisor of h and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89411 - 47?\nAnswer: -89458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/6607 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9 = -2*m. Let b = m - -5. Suppose -b*j - 70 = -3*n - n, 3*n + 5*j - 20 = 0. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399233 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) - sqrt(34)\/sqrt(2)))*-2*-2 - (2 + sqrt(17)*-2 + 5).\nAnswer: -7 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 934204373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1*8\/(-24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/7600 and 51\/6080?\nAnswer: 30400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -59351\nAnswer: 12\/59351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 6*b - 6. Let z(h) = h**2 - 6*h. Let v be z(6). Suppose 6*w - 2*w - 24 = v. Calculate f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -102*a + 12. Let z(p) = -101*p + 10. What is -6*y(k) + 7*z(k)?\nAnswer: -95*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879111398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13*r + 0 - 3*r - 11*r + 8. What is q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*s - 9 - 9 = 0, s + 24 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1539) + -3 + -2)**2 + -5 + -1*((sqrt(1539) - (sqrt(1539) + -4*(sqrt(1539) + (sqrt(1539) - sqrt(1539)*-1)))**2) + -5*(1 + sqrt(1539))) + -2.\nAnswer: 306*sqrt(19) + 200093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86599 + 86594.6949. Let u = 20163.7 - 20168. Let r = u - w. What is r rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8206707 years in decades?\nAnswer: 0.08206707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -12775\/11422 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 408958*d*f**3 + 38*d*f*v - 1652*d*v - 2*f**3*v wrt v.\nAnswer: 38*d*f - 1652*d - 2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(-15\/8))**(-28) assuming v is positive.\nAnswer: v**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + -4 + 7*44?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 132984318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94695 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 324424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -320 + 634 + 14*c - 316. Give d(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j**3 + 47*j**3 - 21*j**3.\nAnswer: 75*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2.402.\nAnswer: 2.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2. Let d(c) = 4206*c**2. Give k(d(a)).\nAnswer: -17690436*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 2080*v**2\/7 + 38924*v\/7 - 10952\/7.\nAnswer: 4*(v - 37)**2*(7*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/60 - k**3 + 22*k**2. Let y(f) = 2*f**2. Give a(y(s)).\nAnswer: 4*s**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20232 (base 5) to base 13.\nAnswer: 7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 - 213*k**2 + 385*k - 40. Determine u(-55).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 11:38 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(28\/(-32))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61639 - 75*g + 43*g - 61632 in the form f + n*g and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 9 + 4)*(-2*a - 14*a + 3*a)*(-8*a - 9*a + 13*a).\nAnswer: -52*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 7 = -3*k + 1, 4*k - 6 = -2*x. Suppose -k*f + 27 = -0*f. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5*n + 7, -13 = -5*f + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2541*q**3 - 61*q**2 + 43*q**2 + 18*q**2 + 716*q**3.\nAnswer: 3257*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyyhhhhyy. Give prob of picking 2 h and 2 y.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:12 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75455307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 - 26*b + 10. Let j be p(7). Let t = -327 + j. Calculate the greatest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22112 (base 7) in base 4?\nAnswer: -1112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*-5*((sqrt(567) + 0 - sqrt(567))**2 + 0 - (0 + sqrt(567))*5)*6.\nAnswer: -5400*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 281792 by 518.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-10)*10\/4. Let n = -3 + f. Solve 2*c = -n - 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*k + 15 = -5*k, -25 = -5*s - k. Suppose 4*f + 5 + 7 = -4*v, -s*v = -f + 9. Sort -7, f, 3.\nAnswer: -7, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 - -1.68. Let u = s + -1.1. What is the closest to u in -0.5, 3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 393 (base 11) to base 16\nAnswer: 1d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 - w**3\/4 - w**2 + w.\nAnswer: w*(w - 2)*(w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*z - 468 = 74*z - 171*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543715 - 543715 - 112*f**2.\nAnswer: -112*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-40))\/(12\/72*24).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4\/11 + 5*d**3\/11 + 6*d**2\/11 - 4*d\/11 - 8\/11 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 500 and 35700.\nAnswer: 178500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10*t**2 - 119*t - 18. Suppose 35*v + 108 = 8*v. Let a(m) = 5*m**2 - 59*m - 8. Let b(c) = v*y(c) + 9*a(c). Solve b(z) = 0 for z.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3606 - 100?\nAnswer: -3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 6:07 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2089, 0.2, -2.\nAnswer: -2089, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 116104551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-28)*-1)\/(5\/(-7)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f - 292 + 292 + (4*f - f - f)*(0 + 1 - 2) + (1 + 0 - 3)*(-26 + 1 + 14)*(2*f + 3*f - 2*f) as p + l*f and give l.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 500223\nAnswer: 4\/500223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*o - 74937 - 605955, -5*o = 3*p + 851114. Suppose -3*k = -326382 - 34290. Let w = o + k. Round w to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 24. Let z = 0 - 15. Let b = z - -24. What is the remainder when o is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k + 4*z - 24, -3*z + 24 = 3*k. Suppose -t = -0*t - 5. Let q(o) = 26 - 9*o - 12 - 4 - 3 - 8. Let d(f) = 8*f + 1. Give k*q(j) + t*d(j).\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 + -4.75. Let f = 4.8 + u. Put 0.1, -2, f in ascending order.\nAnswer: -2, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/4)*b)\/b)**(-26\/7) assuming b is positive.\nAnswer: b**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -20*w**2 + 5*w**4 - 15 - 20*w + 9*w**2 + 20*w**3 + 21*w**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/(-70))\/(2\/5))\/14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(2 + (-4 + sqrt(24)\/(3*sqrt(12)) + sqrt(242) + 4)*4)**2.\nAnswer: -36992\/9 - 544*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let c be p(3). Let z = 33 - 65\/2. Let -o**c + 1\/2*o**4 + z*o**5 + 1\/2 + 1\/2*o - o**2 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12 = 4*b, -137*o + 135*o + 6*b = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -821\/4 - -8839\/44. Let g = -174\/55 - j. Suppose -g*a - 4\/5 - 2\/5*a**2 = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.14 (c) 0.11 (d) 0 (e) -1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16277, 16255, 16219, 16169, 16105?\nAnswer: 16027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by -5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o - 5*b = -11, 4*b = 2*o + 6. Let r(y) = -y**3 + 5*y**2 - 2*y - 5. Suppose -4 + 38 = 17*d. Let l be r(d). Solve l*x - o = 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obn when three letters picked without replacement from cnncoccbnccncccbncc?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1723*a**2*y*z - 2*a**2*z + 51*a**2 - 52*a*y + 2*y*z wrt z.\nAnswer: 1723*a**2*y - 2*a**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-6) - 0) + 226\/(-4). Let y = 76 + w. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**4 + g**2 - g + 1. Let r(x) = 3*x**4 - 4*x + 4. Let d be 3*(3\/(-9) - 1). Let n(v) = d*o(v) + r(v). Find the third derivative of n(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 take away 778247?\nAnswer: -778248.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Suppose w = f*w. Solve 3*q + q - 16 = w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 11) to base 4\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8) + 15\/4. Suppose -25*q - p + 78 = 0. Solve 0 = -5*s - 5*j, 0*j + 8 = q*s + j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 13475\/8532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1\/3, -4, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 5, p: 2, z: 2, w: 1, c: 1}. What is prob of sequence yy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -466812*j + 2340334?\nAnswer: -466812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1a91 (base 11) to base 16.\nAnswer: 4bb56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -227707 less than -227699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + k - 78 = -k, 2*p - 3*k + 37 = 0. Let f = p + 6. What is the remainder when (80\/f)\/(2\/(-7)) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -382 - b + 0*b + 397. Let k be v(12). Suppose -k*p + 12 = -0*p, 3*y - 287 = -2*p. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7446\/(-803) - 8\/(-22)) + 9)\/(1\/18).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + y - 2. Suppose 40*t + 115 = 45*t. What is the remainder when t is divided by d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0 - 5. Suppose 5*z - z - 13 = h, -u*h + 5*z - 5 = 0. Solve 5 = h*g - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 2987.\nAnswer: -2987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10397979 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 381325389, 381325390, 381325391?\n\"Answer: t + 381325388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*x - 62, 0 = -0*p + 2*p + 5*x - 62. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -152, -191, -236, -281, -320, -347, -356?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 22 + 2*b**4 + 2*b + 7 + 11 as k*b**3 + d*b**4 + x*b**2 + m + c*b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-5)\/j))\/j)**(-25)\/(j\/(j**(4\/3)\/j)*(j**6\/j*j*j)\/j) assuming j is positive.\nAnswer: j**(-395\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/57812314 and 22\/61941765.\nAnswer: 867184710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.03964 - 627\nAnswer: -627.03964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 52\/7*r**4 + 0*r + 6\/7*r**5 + 0 - 4*r**2 + 66\/7*r**3 = 0. What is r?\nAnswer: -7, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-6)*m**(1\/8))\/(m**(1\/2)*m**(1\/10)) assuming m is positive.\nAnswer: m**(261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1305501 times -0.3\nAnswer: -391650.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 11:55 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1405761 divided by -147.\nAnswer: 9563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19143 - -19154. Solve -9*w = 11 - r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**4 + 284*c - 284*c + c**2)*(-2*c + 5*c - c).\nAnswer: 12*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432577464 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fmmfmmmmmm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/17, -0.4, 138, -1262 in decreasing order.\nAnswer: 138, 2, 2\/17, -0.4, -1262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, -42\/179 in ascending order.\nAnswer: -14, -42\/179, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216401, -216402, -216403, -216404, -216405, -216406?\nAnswer: -216407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.95 - 20. Let g = b - -0.25. Let y = -6.5 + g. Round y to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1097 = -5*y + 2*y, -2*y = -f + 209. Suppose 180 = 2*s - 2*l, 65 = 3*s + l - f. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-4\/13) assuming n is positive.\nAnswer: n**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 533*g + 15 = -530*g, 126*s - 3*g + 25 = 124*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 333454443?\nAnswer: 333454452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) - sqrt(99)*-1) - sqrt(99))*4)\/(sqrt(9) + 3*2*sqrt(9) - sqrt(9))*1.\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3459*y + 1381*y - 71306 - 103078 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g*g**1*g**(3\/7)\/(g**(-7)*g))\/(g**8\/(g*g**(-2\/9)))**6 assuming g is positive.\nAnswer: g**(-712\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, z: 2, c: 3, o: 1, y: 6}. What is prob of picking 1 c, 1 y, and 1 z?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 9*g**2.\nAnswer: -g**2*(g - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.37006 take away 10.8?\nAnswer: 99.57006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 18. Let i be t(15). Let j be (-2)\/i + (-11)\/3. Let x be 2 - -4*j\/4. Which is smaller: x or 1\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -367*x**2 + 4392*x + 132. Determine i(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/2 of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -22, -40, -58?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7093 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4, -162, 23 in decreasing order.\nAnswer: 23, 4, 3, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -2*v. Suppose -4*a - 4*y = -240, 4*a - 193 = -v*y + 57. Let r = 130 - a. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.07 - 17.07. Put 654.1, 0.3, m in descending order.\nAnswer: 654.1, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1370, 2725, 4080?\nAnswer: 5435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - -85. Find the second derivative of -72*j - 70*j + 165*j**5 + t*j wrt j.\nAnswer: 3300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341265 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -100. Calculate the remainder when 56 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/81 + 20\/(-45)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377685 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2267 divided by -16?\nAnswer: 2267\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153533652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 3*o**2 + 4. Let s be n(3). Let j be (-2)\/4 + (136\/(-16) - -7) - -10. Suppose 3*f = 6, 2*v + 3*f = j + s. Solve v*k - 1 - 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-0.13936.\nAnswer: 1.25424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)\/(g**6*g))**43 assuming g is positive.\nAnswer: g**(-946\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 7 = 4*f, -13*f - 8 = -11*f + 4*z. Let d(g) be the second derivative of 0 + 1\/3*g**3 + 8*g + 0*g**f. Let c(k) = 13*k**2. Give d(c(n)).\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 1. Let n be u(0). Let a = -23359\/554814 - 3\/4742. Let h = a - -329\/2223. Is n not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.48792 - -88203?\nAnswer: 88294.48792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**4*x + 491*c**4 - 3*c**3*x - c**3 + 230*c**2 - c*x + 672*x - 4 wrt c?\nAnswer: -192*c*x + 11784*c - 18*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -576, -1122, -1664, -2202, -2736, -3266, -3792?\nAnswer: -4314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72915\/26 - 2802. Calculate the common denominator of a and -113\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + 4 + -8 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6935 = 5*t, 0*t + 17355 = 5*m - 5*t. Let o be 7\/(7\/(-4)) + m. Suppose 8*h - 10*h = -o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 - -197. Find m such that 3*m**4 + 66*m**2 + 3 + 0 - b*m**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 16*o = -13*o + 42*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 37. Calculate the remainder when 30 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/120 - u**5\/4 - u**3\/6 - 6*u**2 - 3*u. Give z(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26104 + 18?\nAnswer: 26123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 3, -3, -1.\nAnswer: -68, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 831701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(425) + (sqrt(425)*-1 - sqrt(425)) + 0)**2.\nAnswer: 10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 + 0 = 4*c, 0 = 3*m + 4*c + 1. Let z = 0.1706 - 0.6706. Let u = -5 + 7. What is the closest to m in -2\/3, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369589011?\nAnswer: 3, 11, 191, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3751 = -172*p + 513*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4\/12 + 69*b. Let c(n) = 13*n**2. What is c(y(k))?\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233655 - -544076. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/16 - 90\/(-40). Solve z*q - 18 = -6*u + u, -5*q = -3*u + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-5 + 1 - 1)*(11*w**4 + 3*w**4 - 4*w**4).\nAnswer: 100*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t. Let u(m) = -3705*m. Calculate u(s(q)).\nAnswer: -7410*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/27)\/((-31)\/(-93)))\/(40\/(-36)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95934236.\nAnswer: 2, 59, 406501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2 - -1)\/3. Let u = y - 2. What are the prime factors of (-350)\/(-12) + u\/12?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*k - 1. Let b(m) be the third derivative of 0*m**3 + 1\/24*m**k + 0*m + 3*m**2 + 0. Let w(z) = z**2. Determine w(b(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1768*g**3 - 3489*g**3 + 1806*g**3.\nAnswer: 85*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 12 + (26 - 22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/7*(-31)\/93.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 3*g - 8. Let v be p(-4). Which is smaller: 23 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 33, -2, -6865 in descending order.\nAnswer: 33, 5, -2, -6865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:37 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8\/3, -1\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 370 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -463\/4182?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u, 2*c + u + 699985 = -4*u. What is c rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -5. Let n(d) = d**3 + 3*d**2 + 10*d + 92. Let k be n(-4). Calculate the highest common factor of a and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - ((-24)\/(-4))\/3 - -130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -73*s + 76*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jgjjjgjjjjjjjjjjgjjg.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607 is divided by (-3 - 18\/1)\/((-153)\/510)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1213709288 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 0*k**2 - 6*k**2 - 3*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -44.3.\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 677427798*l**3*n + 1510070416*l**3 wrt n.\nAnswer: 677427798*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4536)*2 + sqrt(4536) + sqrt(4536))\/(sqrt(48)\/(sqrt(30)\/sqrt(5))))**2 + -4 + sqrt(56)\/(sqrt(8) + sqrt(16)\/sqrt(2) + sqrt(8)) + -4.\nAnswer: sqrt(7)\/3 + 9064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.87 - 0.13. Which is the smallest value? (a) p (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*r - 1336 - 894, 2*r = -12. What is k rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 13) to base 2.\nAnswer: 11110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -6*p. Let x(k) be the third derivative of -7*k**6\/120 - k**5\/30 - k**4\/24 - 16*k**2. Determine x(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 880 and 1010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 240*i - 234. Let q(j) = -68*j + 67. Give -7*o(t) - 24*q(t).\nAnswer: -48*t + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2413\/3780 - 29\/756. What is the third smallest value in 10, n, -5, 1\/6, -5\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*x**5 + 8*x**4 - x**3 = 0. What is x?\nAnswer: 0, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 46.04. Let b = -0.04088 - d. What is b rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -4, -26, 39, 43 in decreasing order.\nAnswer: 43, 39, -4, -17, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3)*(-9)\/6. Let b be w*-29 + -3 + 1. Let n be (-6)\/(-4)*b\/(-18). Let p(g) = -g**2 + 4*g + 1. What is p(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g**2 + g. Let y be d(-1). Let k(a) = 2*a. Let q be k(-3). Let z be (-74)\/q + 6\/(-18). Calculate the highest common divisor of z and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.417898 grams?\nAnswer: 0.000417898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 2, x: 4, z: 3}. What is prob of picking 3 x?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3366721.\nAnswer: 677, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50131600 divided by 3.\nAnswer: -50131600\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1923?\nAnswer: -1923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -16*c**3 - 56*c**2 - 60*c. Let w(g) = g**3 + g**2 + 5*g. Let f(p) = -j(p) - 12*w(p). Factor f(v).\nAnswer: 4*v**2*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335249496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*(56 - -1)*18\/81.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 15*i**4 + 5*i**2 - 12*i**3 - 6*i**3 - 3*i**5 + 7 + 8 - 6 + 21*i.\nAnswer: -3*(i - 1)*(i + 1)**3*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*t + 266*t - 6150032 = 0. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*s + 2367*s = 4213*s + 217984 for s.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -12, 2*i + 0*k = 2*k. Solve -5*r + 14 = -3*l + l, 0 = -l - i*r + 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**6\/120 + 11*t**5\/30 - 7*t**4\/12 - 29*t**3\/6 + 27*t**2. Does 72 divide v(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1367928 and 75388032?\nAnswer: 678492288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 847, 1574, 2301, 3028, 3755?\nAnswer: 4482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -26?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1065 - 18093\/17. Let s = -26\/85 + v. Factor s*d - 1\/5 - 1\/5*d**2.\nAnswer: -(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = -2*n. Suppose -m + n*f + 0 = -3, 0 = -m - 2*f - 17. Let k be (-300)\/(-28) + (-2)\/m. Calculate the greatest common factor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (11 - -12) - (-52 - 42).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(468)*4)**2 + ((sqrt(468) + sqrt(468) + (sqrt(468) - (sqrt(468) + 4)) + sqrt(468))*-3)**2.\nAnswer: -1296*sqrt(13) + 307620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10120 + -1203. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 37 = -3*f + 4*u, -5*f - u = -23. Solve -f*j = i - 24, j + 4*i = 6*j - 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64.8 - 627.2. Let a = r - -692.0622. Round a to 3 dps.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 8. Let d be 276\/(-66) - (-2)\/11. Let w be z(d). Suppose w = 5*g + 28 - 158. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -13.\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(42)\/(sqrt(294)*1))**2.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/170*(2 - 7). Which is the closest to 1? (a) -2\/5 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -12\/17, 0.11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*x - 472 = 0, -4*x + 79 = -3*c + 557. What is the greatest common factor of c and 869?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -2*o, -2*o - 4*s + 16 = -3*o. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7356008?\nAnswer: 2, 11, 83591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (3 - (38 - 23)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -20*a - 3. What is the units digit of f(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -17*h**2 - 1223*h + 70. Determine x(-72).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 89*g + 1035. Give k(10).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**3\/3 - j**2 + j. Let y be f(-2). Solve -y*n - 3 = 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -3 (c) 0.02 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z**2 + 4*z**2 - z**2)*(-z**2 + z - 2*z + 3*z)*(-209 + 111 + 376) in the form h*z**3 + v + g*z**4 + a*z**2 + d*z and give h.\nAnswer: -1112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let y(m) = 1. Let c(p) = -w(p) + y(p). Let l(z) = -3*z**2 - z + 1. Let n be l(-1). Let g be c(n). Solve g = r - 0*r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44010 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -74, -114, -158?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = -5. Let m(y) = y**2 - 19. Let d(t) = 18. Let p(v) = l*m(v) - 4*d(v). Differentiate p(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -505, -511, -517, -523, -529, -535?\n\"Answer: -6*d - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1994651\/10 + 199466. Let j = 373\/5 + -74. Factor 1\/10*a**2 - j*a**3 + d*a**4 - 2\/5*a**5 + 0 + 0*a.\nAnswer: -a**2*(a - 1)**2*(4*a - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 10*l**2 - 2*l - 5. Calculate f(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3271*d - 13027. What is j(4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -18019*t + 108429. Calculate a(6).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 6. Let u(d) = 5. Let m = 14 + -21. Let v(k) = m*u(k) + 6*o(k). Let x be v(4). Solve 2*i - 24 = -2*w + 6*i, -5*i = x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q - 12, 7 = -o - 4*q. What is the derivative of 3*k**4 - 1 + 0*k**4 - o*k**4 - 2 wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 47. Let y be -6 - (-29 + v + 3). Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 8. Suppose 0*u + 8 = -2*f - u, -22 = 5*f + 3*u. Let b be (36\/14)\/(-9) + 17\/(-14). What is the closest to f in b, x, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*h**3 - 2 - 6*h**2 + 5 + 2 + 30*h - 32*h as a*h**2 + s*h + q + j*h**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514284 is divided by 641.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086 a factor of 1495122264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/11, -5, 0.16, 0.84, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 767336, 1534675, 2302016, 3069359, 3836704, 4604051?\n\"Answer: g**2 + 767336*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056495488?\nAnswer: 2, 3, 107, 50051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/((8\/5)\/4). Suppose -5*q = 5*k + 90, -2*k - q = 5 + l. Let m be k - (2\/((-6)\/(-9)) - 7). Which is greater: -17 or m?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 344 + 1244?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, 12, 3 in descending order.\nAnswer: 23, 12, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 10\/7*y**4 + 4\/7*y + 2\/7*y**5 + 18\/7*y**3 - 2*y**2 = 0. Calculate y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 23. Let y(j) be the second derivative of -5*j**5\/4 + j**2\/2 + j. Let a be y(-1). What is the highest common factor of a and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-133*g + 89*g - 111*g - 71*g)*(5 - 1 - 9).\nAnswer: 1130*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 7. Is w(9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a - 816 = -11*a. Let i = 316 + a. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**17\/p*p)\/p*p*p*p*p\/(p*p*p*p\/(p\/(p**(-13)*p*p))))**(-4\/3))**(-4\/11))**43 assuming p is positive.\nAnswer: p**(19952\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -78, -109, -142, -171, -190?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**6\/720 - t**5\/24 + t**4\/12 - 6*t. Let n(o) be the third derivative of q(o). Calculate n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + f - 10 = 0, 5*z - f - 54 = -55. Solve -5*l - 3*y + z = y, 2*l + 26 = 5*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25622280 by -4270380.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4699 and 2627.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -107.\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*-2)\/sqrt(2) - (2*sqrt(126))\/sqrt(3))\/(6*2*sqrt(726)).\nAnswer: -sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -4. Let g = 25 - a. Let n(u) = -4*u + 1. Calculate the remainder when g is divided by n(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/16)\/((-6)\/(-864)). What are the prime factors of -8 + b - (6 - 4)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211210221 (base 3) in base 13?\nAnswer: -7753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usss when four letters picked without replacement from ssssussssssussu?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -17*o**3 - 839*o**2\/2 + 832*o. Differentiate i(s) wrt s.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -391807 != -391809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 12) + 4 + 4 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2186 and -15520.\nAnswer: 33926720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/7, 1\/2, 3, 1, 4.\nAnswer: 0, 2\/7, 1\/2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 + -148.77. Let t = -3.948 - j. Let s = -7 - t. What is s rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**2. Let z(h) = 23*h + 17. Let t(c) = 3 - 5*c + 23*c - 14*c. Let w = 6 + 0. Let o(n) = w*z(n) - 34*t(n). Calculate o(i(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793420?\nAnswer: 2, 5, 39671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22268, -23035, -23800, -24563, -25324?\n\"Answer: w**2 - 770*w - 21499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 + -153. Let u(b) = 8*b - 5. What is u(s)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.01 + -1. Let s = -0.11 + r. Let k(m) = -m**3 - 25*m**2 + 25*m - 22. Let z be k(-26). What is the closest to z in s, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22109\/3*(1 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**16*h)*h)**12*((h\/(h\/(h\/h**(5\/3)*h)*h))\/h)**(-16))**(-45) assuming h is positive.\nAnswer: h**7440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -44, -63, -84, -107?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from bnoobyndneneyeenoen.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 850.6059 plus 1755.404?\nAnswer: 2606.0099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 - x + 1. Let m be q(-3). Let t = m - 5. Solve 0 = 4*h - 2*g - 2*g - t, 2*g = 3*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(4\/11)*l*l*l**(-8))\/(l**(-2)\/l**8) assuming l is positive.\nAnswer: l**(51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (166\/(-80) + 3). Let t = -89\/120 + i. Let n = -2.661 - -4.661. Which is the third biggest value? (a) 4 (b) t (c) -0.3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + i + 163, 3*z - 5*i = 135. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, q: 2, c: 3}. What is prob of sequence cgqq?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 460*g - 68087. Give j(148).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 20. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*u + 6, 5*o - 2*u - 21 = -0*o. Suppose -2*t - 174 = -3*f, -2*t - 9 = -o. What is the remainder when f is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m**2 + m - 7. Let n(a) = 2*a + 13. Let r = 19 - 24. Let x be n(r). Suppose -x*j - c = -2*j - 5, -5*c + 25 = 0. What is v(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o + 71*o - 902 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 889, 1778, 2669, 3562, 4457?\n\"Answer: q**2 + 886*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097245 is divided by 190639.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -28, -3\/4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3 - 42166*a**2\/5 - 168784*a\/5 - 168824\/5 = 0.\nAnswer: -2, 21103\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -1469050.\nAnswer: -1469055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209 and 171?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -931*s**4 + 933*s**4 - 2*s**3 + 0*s**3 + s + 1276 to the form x + w*s**4 + n*s**2 + t*s + l*s**3 and give x.\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1376442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2288?\nAnswer: -2288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = c - 75, 8*c + 4*l = 3*c + 255. Let z = -2 + 7. Calculate the greatest common factor of z and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -3*c**5\/20 + c**4\/4 + c**3\/2 - 3*c**2\/2 + 4*c. Factor o(s).\nAnswer: -3*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*1*sqrt(78))\/(sqrt(6) + (2*sqrt(486) + sqrt(6) - sqrt(6)) + (sqrt(6) - (sqrt(6) - (sqrt(6) - sqrt(6)*-2)*-3) - sqrt(6))).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 146*o - 513 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + -4 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798419.9 days in minutes?\nAnswer: 1149724656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 442.03868 - 442. What is c rounded to 3 decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 122*q**3 - 244*q**3 - 4*q + 121*q**3. Let m be s(-2). Which is smaller: -1\/4 or m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 7*i - 1092. Let u be i\/11 - (-8)\/44. Suppose 4*m - u = -9. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 times -0.5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**3. Let p be y(-1). Let w be 3\/(p\/(-3 + 1)). Let l(t) = t**2 - t + 1. Give l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 + 599*u**2 + 2716*u - 2740. Give t(-195).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41619 + -24686. Does 66 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2793437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 - 5594*b**2 - 1298912*b + 5285280 = 0.\nAnswer: -2541, -260, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100 - 10001101000?\nAnswer: -10010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 55) + 48 + -15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 2*b**2 + 7*b + 2. Is 14 a factor of n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 + 4*y**2 - y + 3. Let n(i) = 2*i**3 - 2*i**2 - 1. Let q(w) = -2*a(w) - 5*n(w). Let x(v) = 4*v**3 - 5*v**2 - 4*v + 2. What is 5*q(s) + 2*x(s)?\nAnswer: -2*s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-2))\/(d*d**(-1\/3)*d*d)*d**(-1)*(d\/(d*d*d\/(d**(-3\/7)*d))*d)\/d)\/(((d*d\/d**(-1)*d)\/d**(-5))\/(d**0\/d**(-4))) assuming d is positive.\nAnswer: d**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Suppose -2*x + 56 = d*x + 4*p, -3*x = -3*p - 36. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -19)\/(-11 - -13). Let f = s + -4. Suppose 3*x = 2*w + 138, 3*x + 2*w - 141 = f*w. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -5, -13, -23, -35?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*i**2 + 248*i**3 - 48*i**2 + 100*i**2.\nAnswer: 248*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o\/(o\/((o\/((o**(3\/4)*o)\/o))\/o*o*o*o)))**(-12)*(o\/(o*o*o**(-5)*o)*o**(-1\/2))\/(o**(-2\/9)\/(o*o**0*o*o)) assuming o is positive.\nAnswer: o**(-815\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2206549083 to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.89 and 2.8.\nAnswer: 1.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2549, 2 in descending order.\nAnswer: 2, -0.2, -2549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**5\/20 + 7*q**2. Let r(v) = v**2. Calculate u(r(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -9. Let y(s) = s**3 - s**2. Let x(r) = -7*r**3 + 10*r**2 - 4*r + 2. Let h(i) = v*y(i) + x(i). List the prime factors of h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - 4*r - 9. Let a be n(-6). Let x be 24\/a + 2\/5. What is the third derivative of 2*j**2 - x + j**5 + 2 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 8, 13, 5, 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(7 + 0) + 2 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120122*j*s**2 - 440679*s**2 wrt j.\nAnswer: -120122*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/163914704 and -107\/20.\nAnswer: 819573520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 17. Let q be y\/45 - 902\/(-9). Suppose -5*k + 180 = -5*o - q, -3*o = 9. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -1. Let b = 39\/95 + -1\/95. What is the closest to b in v, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*d + 648, -3*d - 5*l = -361 - 43. Let o = d - 77. Let u = 26 - 13. What is the remainder when o is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16056, -32111, -48166?\n\"Answer: -16055*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 67*l**2 - 9*l - 3. Let m be 8\/(-2)*(-4)\/(-8). Let a be n(m). Let h = -126 + a. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:47 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 5*q - 2. Let c be 2\/((-2)\/(-8)*2). Suppose -4*b - c*u + 20 = 0, 4*u - 3 - 5 = 2*b. Let j = b - -1. Calculate t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 18*x + 56. Let o be l(4). Let q be (-51 - (-1 + o))*101. What is q rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01453507619 rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1, -622, -6.7 in decreasing order.\nAnswer: 2, 1, -5, -6.7, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1921*k + 19275. Determine l(10).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 779.1124 minutes?\nAnswer: 46746.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 3*z + 2*h, 14*z = 13*z + 4*h - 15. Let t(s) = -s**3 - s**2 - 1. Let j be t(0). Let l be j\/(-4) + 121\/(-4). Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 2) + (106 - 84).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 74073*r**4\/4 + 8*r**3\/3 - 6*r**2 + 16*r + 53. Let g be l(6). Round g to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539151535?\nAnswer: 5, 13, 31, 267569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + -40 + (-39 - -28) + -5 + -1?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.1. Let k(r) = 30*r. Let h be k(-1). Let n be (-5)\/h*(5 + 1). Which is the smallest value? (a) s (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 8 = 2*c - 20, -c - 4*p + 21 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 676, -12, -276 in decreasing order.\nAnswer: 676, -12, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48 and -31\/214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, y: 2, b: 2, e: 1, j: 1}. Give prob of sequence bb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -9*h - 2*d - 51, -10 = 2*h + d - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12481 + -4962. Suppose -12*s + 5357 = -n. List the prime factors of s.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6360083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300)*-2 + sqrt(1300)))**2*6*-4 + 3.\nAnswer: -124797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 513.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3)*(-27)\/2*3066\/13797.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 6. Let i be g(4). Suppose -5*x + 3*h = 29, -5*h + 1 = -x + 4. Let k = -3 - x. Solve f - i - 2 = -k*d, 10 = -2*d - 4*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -60 - 60. Solve 4*z + w = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 18*g. Let j(s) = -34*s**2. Determine j(c(a)).\nAnswer: -11016*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 92 = 4*g + 141 - 89, -3*o - 58 = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(1*(sqrt(704) + sqrt(704) + 1) + -5))**2.\nAnswer: -4608*sqrt(11) + 101953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 + 2*l + 2. Let j(q) = q**3. What is -3*j(g) - v(g)?\nAnswer: 3*g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 - 4837?\nAnswer: -4468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 5*l**4\/12 + 5*l**3\/6 - 5*l**2 - 2*l. Factor q(u).\nAnswer: 5*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88113.59 - -87433. What is r rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - k + 30 = 0, -4*o + 77*k - 94*k + 396 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -127*w + 12508. Give g(98).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 26*g**2 - 11*g. Let f(c) = 5*c**2 - 2*c. Let s(x) = -11*f(x) + 2*i(x). Determine b so that s(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*d + 746 = -371*t - 128*d, d + 12 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*l - 6 - 531*l + 381*l + 442*l in the form c + y*l and give y.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991335096 to the power of 1\/3, to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5776*m**3 + 520*m + 119 wrt m.\nAnswer: -34656*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let l = 7 + -4. What is the derivative of -1 - x**3 + 3*x**v - 5*x**l wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + 11\/4. Let j(k) be the second derivative of 1\/12*k**4 + 0 - 4\/15*k**g - 2\/5*k**2 - k. Suppose j(c) = 0. Calculate c.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28914463.\nAnswer: 4993, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.41089 - -761854\nAnswer: 761852.58911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 17*h + 3. Let t(y) = -8*y - 1. Let j = 1 - -4. Let f(d) = j*t(d) + 2*l(d). Is f(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43117 + -13789. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -300722 from -13614.\nAnswer: 287108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwyw when four letters picked without replacement from ffjwjwwwwfty.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 169 - -14*8\/16. Is 2 a factor of (-18)\/30 - a\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 + 2*n**2 + 4*n - 27. Let r be i(5). Let q = -1173 + r. Let a = 573 + q. List the prime factors of a.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21363 is divided by 230.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723663 is divided by 144524.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eclq when four letters picked without replacement from ysyycyqeecelqye.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2199 in -11934, 0, 2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 - 48 + 48.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 15941?\nAnswer: 15944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-6))\/(8323\/(-64206))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154839705 to the power of 1\/2, to the nearest integer?\nAnswer: 12443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 2. Let g be ((-9)\/6)\/((-12)\/200). Suppose 0 = 3*i - g + 46. Determine o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 52*n - 2. Let d(b) = -4*b. What is d(z(f))?\nAnswer: -208*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.09055 to 2 dps.\nAnswer: 10.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5355253 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 + (-7 - -12). Let l be (-18)\/(-12)*20\/b. Sort -4, 3, l in decreasing order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263767383 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010010 (base 2) to base 15.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 + -414353.03.\nAnswer: -414372.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**4 + 8799*h**3 - 3632073*h**2 - 8799*h + 3632076 = 0.\nAnswer: -1, 1, 497, 2436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 849 = 670 + 581. Calculate the greatest common divisor of 425 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12769 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1994 = 10*i - 2624. What is the smallest common multiple of i and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/60 - g**4\/8 + 900*g**2. Let x(s) = s + 3 - 3. Calculate k(d) + 3*x(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + 1. Let b(c) = c + 3. Let v be b(-5). What is z(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13208 = 1659*x + 44729 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 564464032 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 18*q**3 + 91 - 47 - 44.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/4)*v*v\/v**(-3\/4))\/(v\/(v**(-2)*v))**(-2))\/(v**(9\/5)*(v\/v**(3\/4))\/v)**41 assuming v is positive.\nAnswer: v**(-701\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 52640 = -3*i. Let g = i + 147323\/14. Calculate the common denominator of 89\/20 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/10 - -9\/10. Let y = 166.9 + -167. Which is the closest to y? (a) 1\/2 (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n + 3689. Let g(k) = -43*k - 10453. Let l(m) = -6*g(m) - 17*j(m). Let w(x) be the third derivative of x**4\/24 - x**2. Calculate l(w(f)).\nAnswer: 3*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5 - 1610*w**4 - 83515*w**3 - 416960*w**2 + 1090880*w - 588800 = 0. What is w?\nAnswer: -40, -8, 1, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52836573 + 2.5875.\nAnswer: 52836575.5875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94 and 16.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u + 4. Let r(w) = 4*w - 6 - 2*w + 9 + 2*w. Let f(b) = -6*r(b) + 5*t(b). What is the tens digit of f(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19936 and 2324?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) + -2*(-2*sqrt(168) - sqrt(168)))\/(-2*sqrt(432)))\/(sqrt(12)\/sqrt(150) + sqrt(22)\/(sqrt(44)\/sqrt(4))))**2 + -1.\nAnswer: 3391\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**2 + 3*x. Suppose 30*z + 45 + 123 = 2*z. Let t(s) = -104*s**2 + 40*s. Give z*t(r) + 80*d(r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10835873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -120523326 (base 7) in base 11?\nAnswer: -4264338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175351 = 3*o + 16*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbstg. What is prob of sequence bgs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 5045310?\nAnswer: 5045306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1015 + 1065.06. Let h = k + -50. Let x = -0.11 - -0.11. Which is the closest to x? (a) h (b) 0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21721.43 or 0.05?\nAnswer: 21721.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s - 11*s**2 - 2*s + 2 - s**2 - 35*s**2. Let d be b(3). Let c = d + 1146. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 15 = -r - 20, 6 = 3*y - 9*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 668*m + 3170. Is 107 a factor of p(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/28 + (1292\/133 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2340801 + -21020042\/9. Let a = -5248 + i. What is the common denominator of -47\/8 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/22*-2 - 1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 19503?\nAnswer: -19504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -662*h. Let r(u) = 1300*u. Determine r(m(k)).\nAnswer: -860600*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-49) - 47\/7. Put 5, -1, w in decreasing order.\nAnswer: 5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.114 and 0.74?\nAnswer: 0.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3135845.9999976 - 3135829. Let g = s - 17. Round g to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a6 - 1?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 11. Let i be m(-6). Suppose -16 - 21 = -4*d + x, i*x = 15. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 7*i + 6. Let m be q(7). Let v(b) = 23*b - 6. Let c(l) = -2. Let x(f) = m*c(f) - 2*v(f). Let o(s) = -2*s. What is o(x(d))?\nAnswer: 92*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - b - 3. Let s(n) = n - 1. Suppose p - 6*p + 20 = 0. Let z be s(p). Suppose 5*y + 5 = 0, -h + 0*h = -z*y - 3. Calculate a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clycj. What is prob of picking 1 y and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -757 by -1216.\nAnswer: 757\/1216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 1 + 3. Let l(h) = h**2 + 4*h - 1. Let x be (0 + 1)*(7 + -12). Let b be l(x). What is the highest common divisor of b and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.6 - 11.42. Let z = -9.78 + a. Round z to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.592 - 3.992. Let u = 0.5 + -0.4. Which is the nearest to -0.9? (a) 3 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1383 - -36?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23342, 46839, 70336, 93833?\n\"Answer: 23497*j - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38813 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -10, -105, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*w - 43*w - 55*w + 137*w - 21*w**3 in the form a*w**2 + h + l*w + s*w**3 and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (490 + 2)*(1 - (-7)\/21). Suppose -4*w = -1360 - t. Is w a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32041318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0, 4\/9, 4, -3\/2, 18\/43 in decreasing order.\nAnswer: 4, 4\/9, 18\/43, 0, -2\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -5. Let d = b + 3. Solve 2*s = -3*s - a - 25, -s + 5*a + 21 = d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -1\/120*t**6 - 1\/20*t**5 + 0 + 3*t**2 + 2\/3*t**3 + 1\/4*t**4 + 0*t. Suppose -2*i - 2 = 6. What is g(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*s + 5760 - 18639. Find x such that -s*x**2 - 8*x**3 + 493*x**2 - 12 - 4*x**4 + 2*x + 6*x = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24164163*p + 24164761*p + 31694 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163.4 - 24.4. Let x = s + 188. Which is the closest to x? (a) -2\/11 (b) -2\/17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - d**2 - 3*d**3 - d**2 + d**2 + 22 as a*d**2 + i*d + z + g*d**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377 - 755 + 20*m**3 - 12*m**3 + 378 - 16*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -k + 170 - 161, 5*h + 2*k = -27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3741*r = 1919 - 52247 - 5787 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 4*p**2 + 4*p**2)*(1 + 0 + 0) - 580*p + 580*p - 28*p**2.\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 360*b + 3*b**3 + 2448*b**2 - 432 + 0*b**3 - 2379*b**2 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8225 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 3. Let t(o) = 3*o + 81. Let m be t(-19). Suppose 0 = 22*x - 26*x + m. What is j(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 0*t + 13 + 1\/2*t**2. Determine j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/360 + 7*t**4\/24 - 6*t**2. Let p(u) be the second derivative of l(u). Let j(q) = -5*q. Give p(j(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 110, 156, 86, -178?\n\"Answer: -13*m**3 + 59*m**2 - 2*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.820432ml to litres.\nAnswer: 0.002820432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.74 to 1 decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*h + 62*h + 17*h.\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1566 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18107366981 - -5.\nAnswer: -18107366976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 6:34 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43378 = -427*l - 14342. What is the greatest common divisor of l and 508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + a = -2, 0*a = 5*s + 3*a. Suppose -4*u + 5*w + 4 = -4, s*u + 25 = -4*w. Is u >= -48\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(6 + 4 + 0)*(-2 + 7*d - 2*d + 0)*(-3 + 3 - 2)*(4 - 4 + 1).\nAnswer: -300*d + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*(-76)\/95. Let o(f) = -19*f + 2. What is the tens digit of o(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 60 = 113 + 27 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + 0.1. Let q = a - -1. Let p = -1091\/30 - -73\/2. What is the nearest to 2\/5 in q, 2\/13, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.3309 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqhqqqqq. Give prob of sequence qqh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 71336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 2*m**2 - m**2 + (-4*m**2 + m**2 + m**2)*(-1 + 0 + 2) + (3*m - 12*m + 5*m)*(0*m + 25*m - m) + (-5*m + m + 3*m)*(2 - 2*m - 2).\nAnswer: -98*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 12*r - 14440896.\nAnswer: 3*(r - 2192)*(r + 2196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10730729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -973235 times -20\nAnswer: 19464700","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*m*r**2 + 52*m*r - 224*m - 10*r**2 - 24*r + 381 wrt m.\nAnswer: -15*r**2 + 52*r - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 - -3 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*u - 27. Let b(a) = a**3 + 7*a**2 - a + 1. Calculate b(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -240.96304 and 0.7.\nAnswer: -240.26304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3203 and 2.03.\nAnswer: 6502.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/60 (c) -1\/2 (d) 1 (e) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2*p + p**2 - 1\/4*p**4 + 5\/3*p**3 - 1. Determine h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487474 is divided by 20311.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86041068848 - 86041068848 + p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147336 (base 10) in base 11?\nAnswer: -1237364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -85*z**3 - 895*z**2 - 35*z - 1507. Factor g(p).\nAnswer: -5*(p + 7)*(51*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912 = -4*o + 1996. Suppose 4*j - d = o, -d - 4*d - 377 = -2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-47)*(j\/(j*(j**(-1\/2)\/j)\/j))**7 assuming j is positive.\nAnswer: j**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 0 + -6 + -2 + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.40977 to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-2592)\/(-90))\/(-12))\/(0 + 6\/(-975)). What is the closest to 0 in m, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4353 = 161*d - 960. Suppose 0 = -2*o + 205 + 25. Calculate the remainder when o is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72153720 by 14430744.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {b: 1, j: 2, x: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69234 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1.42, 4, -0.4, -1\/6, 202 in descending order.\nAnswer: 202, 4, 2\/7, -1\/6, -0.4, -1.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 + -115. Let n = v + -41. Let m(l) = 5*l + 1. Let k(u) be the second derivative of -3*u**3\/2 - u**2 + 2*u. Give n*m(s) + 3*k(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-367 - -373) + (-1 - (2 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 15 = 3*i. What is the first derivative of -6*d - 12*d + i - 25 wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + g - 1. Let o(z) = 8*z**3 - 2*z**2 - 3*z + 2. Let q(l) = -2*c(l) - o(l). What is the second derivative of q(y) wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 + 40\/(-5))*4\/(-6). Let i be 0*(-1 - a)*1. Solve i = 4*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 534*x - 4879.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0096017107 rounded to six decimal places?\nAnswer: -0.009602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70737)\/(-2092326)*(-12)\/57.\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g = 20*g + 28479. Suppose 4*f + 12 = 0, -5*t + 19*f = 21*f - g. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/(-15) - 668\/(-835)*(-15)\/36?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + 33\/12. Let j be 4\/(-6) - (-2)\/k. Let m = 0.85 + -0.55. What is the second smallest value in j, m, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(sqrt(136)*2)\/sqrt(8) - ((1 + sqrt(612))*-6)**2).\nAnswer: -44136 - 872*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.14 and -99337.\nAnswer: -99337.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19776 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*z - 21 = -14, 0 = -4*v - 3*z + 5. Let x = -33 + 32.62. Let p = x - 0.02. Which is the nearest to v? (a) p (b) 5 (c) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -2.1. Sort n, -0.5, 0.1 in decreasing order.\nAnswer: 0.1, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -88, -122, -136, -124?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*l - 4*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = -j - 10, 0 = 2*x - 8. Is j\/(-35) - -6*(-5043)\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11 and 5960\/779 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 198\/(-44) + 9\/(-6) + 38267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 9*l**2 + 671*l + 7354. Give t(-11).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (-51 + -9 + 40 - -49)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-5*j + 2*j + 2*j)*(4*j - j - 5*j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 10*a**2 - a - 9. Let w be j(-10). Suppose -9 = -h - w. Solve u - 5*u = -h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (-4)\/6*(33075\/10)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -511 by 155.\nAnswer: -511\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10020 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8257522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + i)*(1 + 2 - 6)*(-i**2 + 9*i**2 + 0*i**2) - 2*i**3 + 2*i - 2*i.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -2254, -7548, -17858, -34858, -60222?\nAnswer: -95624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-56)*(-2 + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -323.01008 + -0.41992. Let z = -325 - y. What is z rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -2*i**3\/3 - 11. Let u(s) = -13*s. What is r(u(j))?\nAnswer: -338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 9. Let z = 5\/18 + 11\/9. Sort z, -0.4, c in descending order.\nAnswer: z, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, u: 2, a: 4, y: 4}. What is prob of picking 2 a and 2 b?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1176 - 1175.96. Which is the closest to 0.2? (a) 5 (b) t (c) -0.2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7 + 1 + 1 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58109358 to the nearest integer?\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44984.3769 minus 8?\nAnswer: -44992.3769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14767547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8467, -7154, -4983, -1960, 1909, 6618?\n\"Answer: -g**3 + 435*g**2 + 15*g - 8916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*s**4 - 174*c*s**3 - 3*c*s**2 + 806*c with respect to s.\nAnswer: -8*c*s**3 - 522*c*s**2 - 6*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 592664.\nAnswer: 592664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.112 (b) -115 (c) 4\/7 (d) 0 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 205514653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmr when three letters picked without replacement from mcrgcmx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.955 - 2.955. Let f = -2 + 2.3. Let p(n) = -3*n**2 + 73*n - 27. Let s be p(24). Sort f, s, c.\nAnswer: s, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**4 - 52*n**3 - n**2 + 103?\nAnswer: 48*n - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130816 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(112) + 1*sqrt(112))*2.\nAnswer: -8 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1373304.0073 + 1373240. Let p = 64 + l. Round p to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*((-3 + -3 + sqrt(125) + 1 + 4)*-4)**2.\nAnswer: -4000*sqrt(5) + 50400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2070)\/(-9))\/5 + -2)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**6\/27 + 2*d**5\/9 - d**4\/18 - 10*d**3\/27 - 192. Solve f(u) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - u**3 + 4*u**3 + (-u - u + 0*u)*(-4*u**2 + 2*u**2 + 3*u**2))*(3*u - 3*u - 5*u**2).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x - 6. Let y(s) = 7*s + 4. Let g(f) = 5*n(f) + 4*y(f). Let o(h) = -2*h**2. Determine g(o(w)).\nAnswer: 4*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((0 + 1*sqrt(208) - sqrt(208)) + (sqrt(208) - (1 + sqrt(208)))*2)*-6 + 3)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172000?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1442*u - 465*u + 974*u + 724*u.\nAnswer: 2675*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 248173\/7 - 35453. What is the nearest to -3.02 in 0, 0.03, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {b: 18, j: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 19. What is the units digit of (-2)\/i + (-3047)\/(-99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.17 + -0.29. Let z = 0.62 - 0.5. Let k = t + z. Which is the nearest to 1\/4? (a) 0.1 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2203691, 4407382, 6611073, 8814764, 11018455?\n\"Answer: 2203691*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29881 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - (1 - 1) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/18 and 89\/4812?\nAnswer: 14436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/45*-33)\/(782\/1955)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 19*o**2 + 2*o - 36. Let i be q(19). Suppose 5*f = i*m + 3, -4*m - m + 4*f + 1 = 0. Let h(j) = 19*j**3 + 1. Give h(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45\/152 + -7175\/152. Calculate the common denominator of n and -69\/1648.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, 545, 1353, 2143, 2909?\nAnswer: 3645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756903961.\nAnswer: 11, 68809451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7 + 31. Let t be q*-2*2\/(-8). Which is the third biggest value? (a) -4 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -4, 9, 17.\nAnswer: -4, 3, 5, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -423 - 378 - 106*s - 236*s + 75*s - 91*s with respect to s.\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*n + 38*n - 13 + 13 to c + z*n and give z.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by 31.\nAnswer: 180\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -50, -61, -56, -29, 26?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2618 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 1 (base 2) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 453876 divided by 113469\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3 - 181863*g**2 + 6048*g - 17?\nAnswer: -6*g - 363726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4869*u - 389514. What is x(-80)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 602, 656?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - 0.07. Let b = -0.06 + j. Let y be (-15)\/(-42)*((-988)\/65)\/(-19). Put y, -1, 1\/7, b in descending order.\nAnswer: y, 1\/7, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 567 - 565. Suppose -8 = n*h + 3*w - 6, 2*h + 5*w + 10 = 0. Solve -h*c + 32 = 4*p, -2*p + 10 = 3*c - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1612 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -45457000 to the nearest 100000.\nAnswer: -45500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 59\/5 of a tonne?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 1, -4219, 0.\nAnswer: -4219, -3, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 356 - 2490\/7. What is the smallest value in m, -2\/11, 4, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/2*26\/42 and (2\/(-60))\/((-2)\/(-534)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.973 at least as big as -2\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**2 + 2*c - 3. Determine i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10248 divided by -5\nAnswer: -10248\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4440 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-91745733\nAnswer: 36698293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72*a + 104*a - 147*a)*(18*a + 19*a + 25*a) to the form i + s*a**2 + u*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15319 and -1.5181.\nAnswer: 23255.7739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -564367\/580 or -972?\nAnswer: -564367\/580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 98595351 = 98595350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 5*f - 5 - 10, 3*g - 4*f - 12 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50721, 54753, 58785, 62817?\n\"Answer: 4032*o + 46689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526*h - 1530*h - 1531*h + 4582*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r**5\/4 - 25*r**4\/4 + 5*r**3\/4 + 5*r**2\/4 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 - (-6)\/(54\/171))*1. Solve 3*x = -4*h - 7, 6*x - 7*x + 2*h = q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*p + 5*c - 2*c, 0 = 4*c + 8. Let g = -3 - p. What is the least common multiple of g and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -0.4 (c) -4 (d) 0.162 (e) -19\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*q = -5*q + 381, -4*q = 4*s - 396. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 209660600 a multiple of 514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -555*u**2 + 4995*u + 5. Determine i(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/4 - 4*y**3\/3 + y**2 + 5*y + 6. What is a(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 10:41 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14411431451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - s = 1, -5*d + 2*s + 2 = -0. Suppose 0 = -3*a - 1 + 16, d = 3*w + a - 224. Suppose -5*h - 49 - 28 = -2*k, h - w = -3*k. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/32)\/(1\/(-18)*3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26820464 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 4, -8, -0.04, 1\/2 in increasing order.\nAnswer: -8, -0.04, 1\/2, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4 = 0, 3*w - 37*r + 40*r = -30 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 2*g**2 - 2*g + 2. Let l(k) = -7*k**3 + 13*k**2 - 13*k + 13. Determine 6*l(r) - 39*v(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -40, -43, -46, -49, -52?\n\"Answer: -3*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((88\/(-6))\/(-11))\/((-8)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -21237?\nAnswer: -2\/21237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 4208050.\nAnswer: 4208050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -227a650 (base 11) in base 14?\nAnswer: -759146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-78 - (-214 - -75)) + -110\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 - -69. Suppose -q = -4*k - 10, -2*k - s = -q + 1. Is 12 a factor of -141*(-1)\/(-2)*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/6 + 183461*d**2\/6 + 214045*d + 183468 = 0.\nAnswer: -6, -1, 183468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9970373 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 1. Let m = 6 - o. Which is smaller: -6\/5 or m?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -70.8. Round c to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 6*p**2 + 7. Let i be o(-6). Let d(c) = -c**3 - 8*c**2 - 9*c + 4. Calculate the remainder when d(-7) is divided by 360\/35 - 2\/i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3883 = -5*c + 3966, -15*c = -h - 229 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.107 and -69.\nAnswer: -7.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -39*k**2 + 453*k + 180 = 0.\nAnswer: -5\/13, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22538*o + 9*o**2 - 22526*o - 22525*o - 22533*o + 90122*o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -618 - -884. Let y = j - 79. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579 = 4*i - 4*a - 593, 3*i + 4*a - 914 = 0. Suppose -5*r + 368 = 3*k, 111*k - 113*k = -4*r + 290. Let b = i - r. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:22 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u = -271 + 31 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:19 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j = 5*c - 183, -5*c + 2*c + 6 + 3 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - 8. Let s = -145459 + 145445.00056. Let t = s - z. What is t rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 15*i**2 - 14 + 6 - 14*i**2 - 26.\nAnswer: i**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 13) + -3 - -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 192.6936 years?\nAnswer: 19.26936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b + 2. Suppose 4*h = -b*s + h + 20, 3*s - 15 = h. Solve 2*p = -p - s*n - 8, 5*n = 5*p - 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962647096 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1 - 2*s - 1 + 3*s. Let l = -1 + 2. Suppose -5*y - 2*t = t + 37, y + l = t. What is p(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 13*l**2 + 2*l + 6. Let j(x) = 65*x**2 + 11*x + 33. Let b(n) = 11*h(n) - 2*j(n). Let q(t) = 3*t**2. What is b(q(m))?\nAnswer: 117*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103571.4 months to years.\nAnswer: 8630.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 - (0 - -2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1722 + 1731. Solve 4*t - 4 = -3*c - j, 2*t + 4 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 23. Let h(w) = w**3 + 9*w**2 - w + 2. Let v be h(-9). Let a be l(v). Let f be (2\/8)\/((-11)\/16). Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 - 105*c**2 + 417*c\/2 - 104.\nAnswer: (c - 208)*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 2*x. Calculate j(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8839\/219 + 121\/3. Is i at most as big as -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*j - 30*j - 2*i - 5, 3*i = 4*j - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4. Let i = 5.04 + -0.04. What is the nearest to c in 0.4, -4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46.792 - -47. What is w rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156.3218 - -265085\nAnswer: 264928.6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v - 36 + 36)*(-2 + v + 2) + 263*v + 47*v**2 - 263*v + (2*v + v - v)*(-v - v + v).\nAnswer: 59*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910*o**3 + 1355 - 2706 + 1350.\nAnswer: -910*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*a**2*x + a**2 - 46*a + 40 wrt x?\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -13*x**3 - 10*x**2 + 4*x - 6. Let n(f) = -11*f**3 - 10*f**2 + 3*f - 5. Determine 3*l(d) - 4*n(d).\nAnswer: 5*d**3 + 10*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (17 - -32) - -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 120*l**2 + 120*l + 238. Determine j(119).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.04, -1.6, 10.\nAnswer: -1.6, -1, 0.04, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16891 divided by -133\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 20, -5, 185 in increasing order.\nAnswer: -5, -3, 0, 20, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93\/33 - 52\/(-286) - -9943?\nAnswer: 2, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 2 + 22 = 0. Find the third derivative of o*t**6 + 0*t**5 - 12*t**4 + 0*t**5 + 76411*t**2 - 76412*t**2 wrt t.\nAnswer: 240*t**3 - 288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 0.39 (c) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -410, -1563, -3646, -6791, -11130?\n\"Answer: -22*q**3 - 333*q**2 - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 3, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1367 and 93\/8?\nAnswer: 10936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.6 + -26.8. Let i = 4\/27 - 22\/27. Let y be 2\/6 + (-5)\/15. Sort o, i, y, 0.4 in ascending order.\nAnswer: i, o, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 610 = 3*w. Let m = w - -386\/3. Factor 10\/3*f**4 + 2\/3 + 10\/3*f + 20\/3*f**2 + m*f**3 + 2\/3*f**5.\nAnswer: 2*(f + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94.3391 + -0.0391. Let l = q + -94. Let o = 4 + 1. Put 3, o, l in decreasing order.\nAnswer: o, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 2 + 2 - 2*i**2)*(-i**3 + 0 + 0).\nAnswer: 2*i**5 - 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + 16. Suppose 3*j + 2*j - l = 0. Solve 0*z + j = -5*z + 3*p, 0 = -2*z + 5*p + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180)*1*-3 - 6*(sqrt(180)*-2 - sqrt(180)))\/((sqrt(20) + sqrt(20) + sqrt(40)\/(-2*sqrt(2) - sqrt(2)))\/sqrt(2)).\nAnswer: -3 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 637 - 606.9. Let o = a - 33. Round o to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -485607.\nAnswer: -2\/485607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = 6*s, 4*p + s = 13. Let y be p\/(-3) + (7 - 896\/147). Which is the second smallest value? (a) -0.4 (b) -3 (c) y (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38299491 is divided by 86?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 31 (b) 5 (c) -80 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5457748 and 1364437.\nAnswer: 5457748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 826119 by 10199.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/2*(-30)\/50.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10367 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:24 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -231? (a) 0 (b) -39 (c) 0.18 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130610 is divided by 563?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -499d963?\nAnswer: -499d961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -320*z - 5635. Give u(-18).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4754 + 4757. Let a = 106\/3 - 2020\/57. Put z, a, -2 in descending order.\nAnswer: z, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + 26 - (-66 - -86).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -1\/5*m**6 - 1 - 4\/5*m**5 - 2*m**3 - 2\/105*m**7 - 5\/3*m**4 + 0*m - 18*m**2. Factor l(f).\nAnswer: -4*(f + 1)**3*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9 = o - 3*o. Let r(a) be the second derivative of 0 + 1\/200*a**5 - 3\/40*a**4 + 1\/4*a**o + 5\/4*a**2 - 25*a. Factor r(t).\nAnswer: (t - 5)**2*(t + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30441 - 30443. Let h = -10 + 5. Which is the fourth biggest value? (a) r (b) h (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 + 22*b + 40. Let z be c(-9). Suppose 0 = f + 5*w + 12 - 55, -4*f + 5*w + z = 0. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37128 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: Evaluate 5 - (-3 - 48 - -1) - (17 + -15).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271412?\nAnswer: 2, 67853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (0 - -3) - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z. Let r(w) = -25*w + 3. What is o(r(h))?\nAnswer: -150*h + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -16*s - 366. Give b(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n - 9*n**3 + 6 - 33\/2*n**2 + 27\/2*n**4.\nAnswer: 3*(n - 1)**2*(3*n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -5 (c) 2\/15 (d) 88 (e) -0.1 (f) 8 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - b + 1. Let k(f) = 4*f**2 - f - 8. Let n(w) = 4*w**2 - 7. Let y(z) = 3*k(z) - 4*n(z). Give 2*c(d) - y(d).\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-90) - (-171)\/81. Let 6\/17*w**5 + 0*w - 8\/17*w**3 + 0 + 0*w**d - 8\/17*w**4 = 0. What is w?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/19 in -2, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 862, 8104, 27792, 66160, 129442?\nAnswer: 223872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y**3 + 20*y**2 - 16*y + 20. Let k(x) = x**3 - x**2 - 1. What is g(z) + 20*k(z)?\nAnswer: 4*z**3 - 16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 15. Sort -1, 9, h in descending order.\nAnswer: 9, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**7\/2520 - 7*y**6\/720 - y**5\/12 - y**4\/12 - y**3\/6 + 22*y**2. Let f(b) be the second derivative of z(b). Determine f(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12609 + -12614.921. Let k = -0.079 + r. Which is the third smallest value? (a) k (b) 3 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 5*i - 12. Let p be c(-7). Suppose -p*f + 234 = -0*f. Suppose -f = -b - 2*b. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*x - 944*x + 27170 = -755 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 1. Let t(b) = -3*b - 2. Let g = -31 + 18. Let u = -15 - g. Calculate u*k(c) + t(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -299583.82 and 4?\nAnswer: -1198335.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.2 and 666.\nAnswer: 12121.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + 6 - t**2 - 6*t**2 + 3*t**2 to g*t + k*t**2 + y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 16 = -6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2163622*1.\nAnswer: -2163622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 + (-74)\/(-10). Let q(s) = s**2 - 9*s + 10. Let h be q(t). What is the units digit of 1\/(-4) + (-21)\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6*l - 98 = 0. Suppose -24*k - l = -25*k. Let a be (21\/k)\/((-1)\/(-6)). Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 8*i - 8. Let w be n(-7). Let v = -2.96 - 0.04. Let d = 0.7 + -5.7. Which is the third smallest value? (a) v (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 2*h**2 + 5*h - 2. Let t be (-54)\/(-54)*(-1)\/(2\/(-48)). Suppose 0 = 3*f + 3*f + t. Determine j(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621288570.\nAnswer: 2, 3, 5, 7, 1319, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -23046?\nAnswer: 13827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 + 2*i - 3. Let g be o(-3). Let u = g + -24. Suppose -2*t - f + 5 = -8, -5*t - 5*f = -45. Sort t, 1, u.\nAnswer: 1, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-72)\/4*66\/(-18)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15644 + -7954. Let m be (-2)\/6*k*20\/24. Let o = -2139 - m. Is -4 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -11\/2, -1\/5 in descending order.\nAnswer: -1\/5, -11\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.23816 and -0.3.\nAnswer: 0.371448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c. Let j(t) = -6013812*t. Give k(j(p)).\nAnswer: -12027624*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, 0.78, 24, 1, 2?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*v + 2)*(v + 2*v**2 - 3*v + 3*v).\nAnswer: 14*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpwmw. What is prob of sequence wxm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 133.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by 95\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81455 is divided by 138?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -187 + -489. Let h = -634 - u. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 6 + 2. Let v be 7175\/336 - (1\/2 - y). Let m = 103\/6 - v. Find the common denominator of m and 89\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 10. Let o be ((-1)\/u)\/((-6)\/12). What is the third biggest value in 14, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -19*h - 126. Determine z(-16).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32375*r**4 - 20*r**2 - 45*r?\nAnswer: 777000*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/13 or -8?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16350 by -1.\nAnswer: -16350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - h - 3)*(3*h - 3*h - 2*h - 26)*(-10*h - 4*h - 12*h).\nAnswer: -52*h**3 - 676*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330\/88 + -13 - (-1)\/4) + 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 3770838\nAnswer: -1508335.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*j + 6, 0 = 5*j - 2*p + 18 - 0. Let s(k) = -k**3 + 2*k. Let d be s(3). What is the units digit of (-1)\/(j - 39\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -1 - 8. Let o = 12592 + -62969\/5. Is o < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 424, -4, -5 in increasing order.\nAnswer: -7, -5, -4, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4063 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -36. What is the remainder when h is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3972 - 303. Does 52 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 18 = 3*h. Suppose 3*n - h + 0 = 3*v, 0 = -3*n + 5*v + 17. Let j(z) = 4*z**2 + 6*z - 5. Let w(a) = -a**2 - a + 1. What is n*j(x) - 5*w(x)?\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 + 10*z - 9. Let o be b(6). Let p be o\/(-27) + 2\/9. Solve -p = -h - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 277, 556, 835, 1114, 1393, 1672?\n\"Answer: 279*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 601094699 a multiple of 10063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*x - 44, -2*u = 2*x - 7*x - 1. Let a be 12\/(-18) - u\/(-12). Put a, 0.3, 2\/7 in descending order.\nAnswer: 0.3, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*w + 43199985, -20748762 - 22451247 = 4*q + 3*w. What is q rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**2 + m. Let p(i) = 6 - 4*i - 6 - 7593*i**2 + 7561*i**2. Give 2*p(n) + 9*u(n).\nAnswer: 8*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*d - 1416 = -3336 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460040 is divided by 115010.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 + 11674 = 5*g. List the prime factors of g.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*m**2 - 240*m**2 + 117*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c (base 13) in base 8?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-12)*4\/((-1472)\/24)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 954926 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29329687 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 978516.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-8)*60\/(-4480)*-16.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940*y**3 + 1859*y**3 - 931*y**3.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44, -158, -354, -638, -1016, -1494, -2078?\n\"Answer: -f**3 - 35*f**2 - 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13932*v**2. Let z(s) = 3*s. Determine h(z(f)).\nAnswer: 125388*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 707*f**3*n**4 + f**3*n**2 - f**3*n - 24*f**3 + f**2 + 5*f*n wrt n?\nAnswer: 8484*f**3*n**2 + 2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004723911 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 3*n - 58. Suppose 419 = 73*l - 19. Give h(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 9*z - 27 = 0. Calculate the highest common divisor of 81 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -5 + 0*n**3 + 2*n**2 + 1\/4*n**4 + n. Let c(t) be the first derivative of l(t). What is the derivative of c(i) wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2718 and 4?\nAnswer: -1.0872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -73989.2 to the nearest one thousand.\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**4\/3 + 2*h. Let l(p) be the second derivative of p**4\/6 - 8*p. What is l(x(f))?\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 0*w)*(18 + 21 - 35) + 0*w + 3*w + 1 - 2*w.\nAnswer: -7*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o*t**3 - 2*o*t**2 + 1245*o*t + 4*o + 53*t + 231927 wrt t?\nAnswer: 9*o*t**2 - 4*o*t + 1245*o + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3989*j*n**5 + 96*j*n**3*o - 76011*j*n**2*o + 4*j*n*o - n**2*o - o + 1 wrt n?\nAnswer: -239340*j*n**2 + 576*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/15*-2)\/((-6)\/(-9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244 + -246. Let n(m) = -2*m - 2. Let y(v) = -v - 1. Let k(l) = -n(l) + 3*y(l). Determine k(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 4. Let b(z) = 2 - 2 + 3 - 1. Let v(q) = 5*b(q) - 3*x(q). Let s be v(-2). Solve 5 = s*m - 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28720847 to the power of 1\/2, to the nearest integer?\nAnswer: 5359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 35 = 5*o, -p - 2*o + 24 = 2*p. What is the highest common divisor of p and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2. Let l(x) = 35*x**2. Suppose 4 = -3*p + b, 14*b + 1 = -3*p + 12*b. Calculate p*l(g) + 70*o(g).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/59 (b) -0.056 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*y + 30. Suppose i + 77 = -5*c + 660, 4*i - 577 = -y*c. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)*f*f**4)\/(f**(-10)*f**(6\/7)))**(-16) assuming f is positive.\nAnswer: f**(-17200\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2239 - -60*10\/30 and 9.\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.82 - 2.32. What is the third biggest value in k, -2\/3, -0.05?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**2 + 21*w + 1257. Let m be z(57). What is the highest common divisor of 111 and m?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8902860 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and -545?\nAnswer: 30520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-658)\/(-282) - (-49)\/315*-6) + 968\/(-20)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.012128677 times -1\nAnswer: 0.012128677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 1, -3, 1\/4, -12, -0.06?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -747 and 0.3?\nAnswer: -224.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/8 - t**3\/2 - t**2 - 2. Let c(b) be the second derivative of j(b). Let w be 4*(-3)\/12*2. What is c(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Let l(n) = -n**2 - q*n + 4*n + n. Let c(g) = -3*g. Let i(x) = -8*x. Let m(h) = 10*c(h) - 3*i(h). What is m(l(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251296 + 30252 = -14*f + 138182. What are the prime factors of f?\nAnswer: 3, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t. Let k(s) = 3*s. Let a(n) = 2*n. Let h(r) = -8*a(r) + 5*k(r). What is h(z(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = m + 4*r + 27, 0 = 9*m - 2*r + 39 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from tgtthgtggggthggthgt.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-90))\/((-744)\/(-1674))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.09 (b) -2\/5 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 184432 = -0*m - 4*m - c, 0 = 5*c. Is m a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0 + 12*o + 0. Let b(t) = t + 36. Let x(a) = -2*a - 54. Let g(u) = 3*b(u) + 2*x(u). What is c(g(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 - 12*x - 20. Calculate the remainder when v(-3) is divided by -4*((-21)\/12 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 - 2 - 1 + 2 + 1 + (4 - 4 - 2)*(4 - 4 + 1))*(3*t**3 - 5*t**3 + 3*t**3).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2 + 172*v - 1085. What is j(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 998642 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.4781, 4, 0.5, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 572 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - 45. Let x be z(9). Suppose 9 = -0*b + 3*b. Suppose 0*a + b*a = 108. Calculate the greatest common divisor of a and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**36*v)\/(v**2*v) assuming v is positive.\nAnswer: v**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094588 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: Simplify -3*((sqrt(2057) - ((sqrt(2057) - (sqrt(2057) + 3))*4 + sqrt(2057) + sqrt(2057)) - 6*(3*sqrt(2057) + sqrt(2057)))**2 + 2).\nAnswer: -3857313 + 19800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 - r**2 + r - 1. Let s be l(1). Let t be 8\/10*(-70)\/s. Let n = t - 6. Solve -2*m + 20 = n*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*46444174\nAnswer: 9288834.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12979 = 4*o - l, 3*o - 6*l = -5*l - 9733. Let a be (-6)\/39 + o\/26. Round a to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + h + 4 = 7*k, 20 = -5*k - 4*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2. Let i(d) be the second derivative of 1\/4*d**4 + 0*d**2 + 0*d**3 + 0 - 13*d. Calculate f(i(n)).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3313\/13 + -255. Let q = -12.9 - -13. Which is the nearest to 1\/3? (a) 2\/9 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000877023817 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1203203021?\nAnswer: -1203203012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1454\/3 + -502. Let b = 134 - 131. Suppose -32 = b*z + 19. Is z >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 2:19 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, 5, 264\/4391 in ascending order.\nAnswer: 264\/4391, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612808913?\nAnswer: 612808913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11233*x**2 + 6*x + 6. Let n(s) = 156206105*s**2 + 83435*s + 83435. Give 6*n(w) - 83435*r(w).\nAnswer: 11275*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 1 = n + 5*w, -63 = -5*n + 4*w. Let k = 11 - n. Suppose k = f + f - 10. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 6 = -5*k. Determine d so that 20 - 864*d - 72*d**3 - 432*d**k - 10 - 4*d**4 - 10 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19140 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)\/m**(2\/31)*m\/m**22*m*m**(-1\/5))**(-42) assuming m is positive.\nAnswer: m**(203532\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*v**3\/3 + 10412*v**2\/3 - 3395600*v\/3 + 1690000.\nAnswer: -4*(v - 650)**2*(2*v - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25251, -25536, -26005, -26652, -27471, -28456, -29601, -30900?\n\"Answer: g**3 - 98*g**2 + 2*g - 25156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 6:55 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 9*i**2 + 12*i + 15. Let m be d(-10). List the prime factors of 27\/(m + (-405)\/(-80)) - 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6447 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 q + q = 598. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 0*v + v)*(78 - 58 + 69) to the form p*v + u and give p.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -2 - 4)\/((-15)\/20). Let p(w) = -33*w - 15. Let v be p(k). Let b = 277 + v. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 3*o**2 - 3*o**2. Let q(x) be the first derivative of -7*x**2\/2 + 2*x + 23365. Determine n(q(s)).\nAnswer: -98*s**2 + 56*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*g - 6, -3*g - 8 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/4)*g)**(-11) assuming g is positive.\nAnswer: g**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-135)*3)\/((5 - -3)\/288). Sort -2, 162, v.\nAnswer: -2, v, 162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8003*l - 6704*l**3 - 4001*l + 5807 - 4002*l wrt l.\nAnswer: -20112*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 + -0.01. Let y = u + -0.07. Let p = 0 + y. Put p, 4, -0.3 in descending order.\nAnswer: 4, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 8 + 12)*(-67 - 1 - 47 + 27)*(-14*w + 6*w**2 + 14*w).\nAnswer: 3696*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467 = -7*g + 355 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 102200212121100?\nAnswer: -102200212121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5611 * -20.\nAnswer: 112220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.818471 kilometers to centimeters.\nAnswer: 981847.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j + 80. Let a be c(-11). Solve -a*r - 4 = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**7\/336 + x**6\/72 - x**5\/48 - 2*x**3 + 14*x**2. Let z(o) be the first derivative of w(o). Solve z(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**3\/2 + 389*b**2\/2 + 8*b. Let w be a(0). Let t = w - 2729\/7. Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3\/2*w**2 + 1\/2*w**3 + w + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1323, 0, -3, 2.\nAnswer: -4, -3, 0, 2, 3, 1323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3910999904?\nAnswer: 2, 7, 383, 45587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 - 40742*v\/11 + 3025860\/11.\nAnswer: -2*(v - 74)*(v + 20445)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 3 - 68 - (1 + -30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9687 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 - 2*c**2 - 4*c + 1. Let n(y) = -7*y**3 - 9*y**2 - 17*y + 5. Let s(k) = 9*i(k) - 2*n(k). Let p be s(-1). Put 1, p, 0 in decreasing order.\nAnswer: p, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -1\/37 (c) -131.9 (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47284 rounded to the nearest 100?\nAnswer: 47300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*(229716\/4320)\/(-709)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 9831\/5148. Let z = 1\/143 + k. Calculate the common denominator of z and 123\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/7)*v**(2\/3)*(v**(-2\/9))**(1\/28))**(2\/57) assuming v is positive.\nAnswer: v**(155\/3591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m**5 + 0*m**2 - 13\/6*m**6 - 120 + 67*m**3 + 0*m**4 + 0*m. Find the third derivative of s(o) wrt o.\nAnswer: -780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2339?\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 72?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 70\/23, 1, 369, -3 in descending order.\nAnswer: 369, 70\/23, 1, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7009419 or -7009413?\nAnswer: -7009413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61569670817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from rvvrrvvvtvvvrrrvv?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 6*s - 315. Determine b(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5\/4 (c) -2\/30193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*l + 5*l. Suppose f = -q + 3, -4*f - f + l = 2*q. Let z(a) = 21*a + 1. What are the prime factors of z(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 4*f**2 - 14*f + 203. What is n(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26932, 26886, 26738, 26428, 25896, 25082, 23926?\nAnswer: 22368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -6 (c) -14 (d) -1\/21 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22548 and 14088.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28650)\/(-120) - -6*(-2)\/16. Let i = 241 - c. Solve 3*d = -0*b - 2*b - 14, 3*b - i*d - 9 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1085 and 4123?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/3)\/4)\/(3 - 175\/45).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -45*o. Let l(q) be the second derivative of -q**4\/2 - 156*q. Give r(l(u)).\nAnswer: 270*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4916*t**2 + 8271*t**2 + 126*t**2 - 1353*t**2.\nAnswer: 11960*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18593696 by -211292.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332918 a multiple of 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -999*s - 5 + 27 - 5 - 17 in the form f*s + k and give f.\nAnswer: -999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 - 134.88. Let r = l - 0.12. Let g = -2 - -1.8. What is the third smallest value in r, g, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2939, -4, 4, -20, 1\/3 in descending order.\nAnswer: 4, 1\/3, -0.2939, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14752 from -6473065.\nAnswer: -6487817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 14 + 0 + 2*t - 6 + 0*t. Give i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/9 + 1672078*w\/9 + 37346068\/3 = 0.\nAnswer: -67, 836106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2016*l + 1514*l - 3611*l.\nAnswer: -81*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*g + 5*s, -25*g + 29*g = 2*s - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:18 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*o, 8 = 6*i - 4*i - 4*o. Suppose 4*z = -z + i. Calculate the remainder when 7 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-196)\/35)\/((-4620)\/(-1925))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120694307 is divided by 3948.\nAnswer: 3947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (10 - -18) + -30. Determine z so that 16\/7*z**h + 64\/7*z + 2\/7*z**4 + 32\/7 + 48\/7*z**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.430787 to two decimal places.\nAnswer: -6.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 143 = 2*j - 2015, -1904 = -2*j + 3*w. Calculate the greatest common divisor of 380 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*k - 128 + 165, -5*k = 3*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 711*t**4\/5 - 8*t**3 - 44*t**2\/5.\nAnswer: t**2*(9*t + 2)*(79*t - 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2168 and 8672?\nAnswer: 8672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 74. Let k = p - -23.8. What is the closest to k in 2\/3, 0, 0.14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -17*m**3 + 13*m**2 - 13*m - 90. Let g = -17447 + 17453. Let v(w) = -8*w**3 + 6*w**2 - 6*w - 45. Calculate g*a(z) - 13*v(z).\nAnswer: 2*z**3 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0.85. Let d = 0.65 - j. Let o = d - -5.2. Sort -2\/13, 0.5, o in decreasing order.\nAnswer: o, 0.5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 24*p**3 + 28*p**2.\nAnswer: -4*p**2*(p - 1)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.26 (c) -0.2 (d) -2\/9 (e) -0.3 (f) -1\/3 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/6)\/(y*y**6))**(-2\/3)\/(y**(-1\/2)\/y**(5\/2))**(-1\/13) assuming y is positive.\nAnswer: y**(454\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-5 - -3)\/(12\/71). Is x bigger than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 10, -h + 0*h + 4*l = -16. Calculate the lowest common multiple of (10 - -3) + h\/2 and (-54)\/(-7) - 6\/(-21).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 + 89. Let f be 8\/(-3)*-4*h\/48. Let b(y) = y**2 + 2*y + 6. Determine b(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2673540 divided by 178236?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s - 108. Let l be n(12). What are the prime factors of (-56)\/7 + l + 582?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48060 and 296370.\nAnswer: 1778220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, x: 16}. Give prob of picking 2 p.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**2\/7 + 807*y\/7 - 804\/7 = 0.\nAnswer: 1, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**2 - 20*j - 15. List the prime factors of i(9).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + sqrt(192)*-1 + sqrt(192) + sqrt(192))*6*-1 + (sqrt(192) + 0 + sqrt(192) + 5 - (-1 + sqrt(192)*-2 + sqrt(192))))**2*5.\nAnswer: -4320*sqrt(3) + 77940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 220 = -3*r, 147 - 32 = 2*r - 5*y. Solve -79*c = -r*c + 45 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/9 - (-4)\/36*3. Let q be ((-4)\/(-10))\/((-1)\/(-15)). Calculate the greatest common factor of q and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244593?\nAnswer: 3, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77 or -81?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 282814000?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(2*(-3)\/24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2495585.418 rounded to the nearest ten thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppwwpwpwpppppppww. Give prob of sequence wpp.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 15. What is the third smallest value in x, -2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*k = -52, 3*b + 4*k = 2*b + 29. Suppose -b*l + 42 = 6. Solve 0 = -2*d + l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**3 + f**2*r + 98101*f**2 - 2*f - 34746*r + 22 wrt f.\nAnswer: 6*f**2 + 2*f*r + 196202*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320365.9 meters to micrometers.\nAnswer: 320365900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 674784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 10*t**2 - 2*t**2 - 17.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94892\/8 + 18\/(-60)*-5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(((-15)\/(-4075))\/3). Let k = -324 - i. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + ((-35 - -65) + 15 - 80)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263451197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.64844l to millilitres.\nAnswer: 7648.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (sqrt(1088) + -2*sqrt(1088))**2) + -4 + sqrt(1088) + 1 + -5 + -4 + 1.\nAnswer: -6533 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*l = -1 - 2, 5*s - 2*l = 16. Solve s*t = 4*x - 6, -4*t + 3*t + 3*x = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 - 20*y - 38. Let k(r) = 2*r**2 + 2*r - 2. Calculate 3*k(l) - w(l).\nAnswer: l**2 + 26*l + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -30*s + 994. What is u(34)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g - 2. Let k be d(3). Suppose -77 = -2*n - k. Suppose -3 + n = i. What is the remainder when i is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 810 - 809.8. What is the closest to v in 1, -7, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-2\/5)*x))\/x)\/x**(2\/15))\/(x\/(x*x*((x\/(x\/(x\/(x**(-5)*x))))\/x)\/x)*x**5) assuming x is positive.\nAnswer: x**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d + d**2 - 13*d**3 + 14*d to l*d**2 + y + n*d + o*d**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 34. What is the smallest common multiple of r and (15\/25)\/(-3) - 31*(-3)\/15?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/560 and 109\/14420.\nAnswer: 57680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 11*f + 11*f + (2 + 2*f + 0 - f)*(5*f - 2*f - 2*f) to r + z*f + s*f**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -145 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 336\/(-396)*(7\/(210\/(-12)))\/(24\/90)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3823659.9us to hours.\nAnswer: 0.00106212775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -7. What is the first derivative of 6*m**3 + 2 + m**3 - k*m**3 wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88814080 to the nearest 100000.\nAnswer: -88800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (4 + -2)\/1. Let a = t + 4. Let p = 5 - a. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*s + 2*s + 9, 4*s - 3*h - 32 = 0. Suppose s*q - q - 16 = 0. Calculate the remainder when 5 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxq when three letters picked without replacement from {u: 1, l: 1, k: 2, q: 1, x: 1, g: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.984473131 to two dps.\nAnswer: -6.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809003 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 72358.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 67 = -3*u, 47 + 48 = 3*u - 2*s. Let z be 76\/10 + 4\/10. Suppose -b + u = z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 11*q - 7. Let h be k(12). Let b(g) = g**2 - 5*g + 7. Calculate b(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93 + ((-138960)\/(-1512) - -1))\/(((-8)\/7)\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30386158 * 0.1.\nAnswer: 3038615.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = f + 3*n - n, -3*f + 267 = 3*n. Suppose 71 = 5*j - f. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/2))**(-2\/55)*(v*v\/(v**(-2\/5)\/v))**(-31\/2))**(14\/11))**6 assuming v is positive.\nAnswer: v**(-48678\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*y - 25. Suppose 3*f + 4*g = 50, -5*g - 42 = y*f - 6*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931728068 is divided by 4342.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -141?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 7*y**2 - 6*y - 5. Let p(w) = -8*w**2 + 21*w - 21. Let i be p(1). Calculate v(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 + 6*s. Let g be w(5). Let j(i) = i - 1. Let n be j(1). Suppose -g = -n*r - 3*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252608.84766 + 252880.84765871. Let o = 499.2 + -227.2. Let t = o - z. What is t rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34719613735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 149 in 11, 2, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 33*b - 41. Let q(l) = 5*l**2 - 65*l - 80. Let v = 212 - 215. Let f(n) = v*q(n) + 5*m(n). Suppose f(t) = 0. Calculate t.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*k, -3 = -2*k + 2*h - 1. Suppose -2*o - 4*t = -6, -k = 2*o - t - 13. What is the least common multiple of o and ((-4)\/(-6))\/(3 + 75\/(-27))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.11, 3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 3, -2262, 1 in decreasing order.\nAnswer: 49, 3, 1, -2262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1 = -0*a - 2*q, 2*a = q + 2. Suppose -13 = -p + 3*z, -3*p + a = 3*z - 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 275 and 316965.\nAnswer: 1584825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/((-256)\/(-32)))\/(((-7)\/(-35))\/(153\/30))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 86655218984 and -0.03?\nAnswer: 86655218984.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 81. Suppose -j = -h - 8. What is the closest to h in -4, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 218051100?\nAnswer: 1090255500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l + 2. Let t be y(5). Let q be t\/(-5) - 24\/(-10). Suppose u = 2, -q*j + 11 = u - 1. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 132*x - 5518. What is n(88)?\nAnswer: -1646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 179*2\/(8\/4). List the prime factors of s\/(-3)*(-11 - -8).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562252928?\nAnswer: 2, 29, 167, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*s - 110, 0 = 2*s - 0*s - 2. Suppose -7*o + 6*o = -24. Suppose -10*r + o = -v. Solve 2*x - r*x = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2287851 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 1895 - 6*b**2 + 25*b**3 - 1895.\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111356621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 20*c**2 + 23*c + 44. Let s be (34\/(-4) - (-15 + 10))\/((-12)\/(-72)). Give u(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 11*b. Let f(z) = 2*z**2 + 7*z. Let m(d) = 8*f(d) + 5*i(d). Let s be m(-1). Let k = 16 - 15. Which is bigger: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3 + 274*b**2 - 1189*b - 21406 = 0. Calculate b.\nAnswer: -278, -7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1452 - -1471. Solve 0 = -5*k - 5*j + 35, -2*j + 3 = -4*k + l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50325 + 11?\nAnswer: -50314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -19*k + 4. What are the prime factors of i(-16)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62190 divided by -2073?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**2\/2 + 14*f - 19. Calculate d(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10719 + -10718.7. Put -3, 2, w, 1\/40, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, w, 1\/40, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21305*-0.419\nAnswer: -8926.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 2, o: 1, s: 3}. What is prob of sequence osn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2445623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1637?\nAnswer: 3\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128 - 102)\/((-4)\/(-6)) + 10 + (6 - 5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12852000 and 1296.\nAnswer: 38556000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {p: 1, x: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56708 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(6)\/sqrt(3) + 3*sqrt(2)*1.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 149*q\/4 + 37.\nAnswer: (q - 148)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1067001*k**3 + k**2 + 5*k - 5. Let n be 1*(-2 - (-1 + 3 + -5)). Let q be s(n). Round q to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + -1*-1*sqrt(77) + (sqrt(77) - (sqrt(77) - 3*sqrt(77)*2) - sqrt(77)))\/(sqrt(21)\/((sqrt(6)*-3)\/sqrt(2))).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-2\/13)*s)\/s)\/s*s*s*s**1)\/(s**0\/s**(1\/4)))**(-9\/2) assuming s is positive.\nAnswer: s**(-981\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 100399460?\nAnswer: -1\/20079892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**2\/5 + 357644*f\/5 + 71528 = 0.\nAnswer: -89410, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(208)\/sqrt(4))**2 - -5*((sqrt(78) - (2*sqrt(78) - sqrt(78) - sqrt(78) - sqrt(78)))\/sqrt(6) - sqrt(13))**2) + 3.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -3014?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324*l**3 + 6101388*l**2 - 2711680*l + 301296.\nAnswer: -4*(l - 18831)*(9*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 532 and 1520?\nAnswer: 10640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 2*q. Let b be w(0). Which is smaller: -2\/9 or b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) -19 (c) -4 (d) -9 (e) -1\/1256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10624 and 11670962?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -629*j**2 - 12*j + 20. Let l = 22 - 12. Let u be c(l). What is u rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(22)\/sqrt(2))**2 + sqrt(11) + 0 + (1*(sqrt(99) + (sqrt(99) - sqrt(99)*-2)**2) - sqrt(99)) + -5.\nAnswer: 3*sqrt(11) + 898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*f - k - 431, 0 = -2*f - 4*k + 170. Calculate the remainder when f is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -3.2?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 930003874 is divided by 3317.\nAnswer: 3316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (2 - 21)) + 1. Let i = z - -14. What is the remainder when i is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 - 5) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4422051 (base 6) to base 4\nAnswer: 311321233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-3)*q)**0*(q\/q**(2\/11))\/(q\/(((q**(-3)*q*q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -233 + 937\/4. Calculate the common denominator of 49\/34 and h.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6148 - -19464. What are the prime factors of a?\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -264, -392, -520, -648?\n\"Answer: -128*m - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 2:59 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 0, 3, -2, 4, -1 in decreasing order.\nAnswer: 108, 4, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -75 - (0 + (-25 - (-3 - -2)))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) -9 (c) 1\/4 (d) -1169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107 - 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 24*b - 4. Let c be w(-12). Is -27\/5 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18634280 is divided by 338805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -198, -359, -592, -903, -1298, -1783, -2364?\nAnswer: -3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 267*s**5\/2 + 1271*s**4\/3 - s + 1724. What is the third derivative of u(x) wrt x?\nAnswer: 16020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 9*r = -6, t + 4 = 4*r + 6 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -92*b + 3178. Let t be f(32). Calculate the highest common divisor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -480, 10, 3\/5, -15?\nAnswer: -480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2817 - -76132\/27. Find the common denominator of -29\/24 and o.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*o - 5*x + 24, -6 = -5*o + x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 0, -2 in ascending order.\nAnswer: -8, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 divided by -3?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**4\/24 - 7*t**3\/6 - 2*t**2. Let a be g(-10). Suppose a*w + w = 140. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830*s**2 - 537219 + 203*s**2 + 537219.\nAnswer: -627*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 24 = -v. Find the third derivative of 12*j**3 + 27*j**2 - v*j**2 + j**2 wrt j.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111\/3448 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 2337.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -52\/21 (b) 1\/65 (c) 2\/11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1917)\/135*20\/(-288) and -23\/62?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*j = -24, 0 = 145*o - 146*o - 4*j. Is o at most as big as -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = 7. What is the tens digit of (-96)\/(-4) - h - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 5*d. Let s(i) = -i**2 - 3*i. Let p(z) = 6*h(z) + 10*s(z). Let l(k) = -17*k + 2. Give l(p(c)).\nAnswer: 68*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*x - 201*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w = -294 + 1068 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.33843 plus -8?\nAnswer: 20.33843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -7.5 (c) 15 (d) -2 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-1\/8)*z*z)\/z)**40*z*z**(3\/8)*(z*z**(1\/8))\/z*z)**(-7\/5) assuming z is positive.\nAnswer: z**(-217\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2739.0000003514 + 2739. Round j to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1210)*1 - sqrt(10))*-1)\/((sqrt(45)*-4 - sqrt(5)) + 2*sqrt(500)).\nAnswer: -10*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 4*b = 123. What is the remainder when b is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 12:01 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8397628 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -12, -5, 4\/9, 0.5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 + r + 1 + 2*r**4 + 9*r**2 + 10*r**2 - r**4 to h*r**2 + x*r + q + b*r**3 + c*r**4 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 4*a**2 - 2. Let b(l) = l**2 + 6*l + 5. Let x be b(-4). Give m(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 11*v + 13. Suppose 4 - 10 = -3*r. Suppose -u + 2 = r*w - 15, 4*u - w - 32 = 0. Calculate o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16745000 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 + 224*j - 62720.\nAnswer: -(j - 560)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3580*g**4 - 31153*g**3 + 156030*g**2 + 487.\nAnswer: -85920*g - 186918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9889581 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015927 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(432)*2 - (0 + sqrt(4800))).\nAnswer: 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.897 - 0.9. Let t = -12.997 + g. Let r = t - -12.8. Which is the third smallest value? (a) 4 (b) r (c) 2\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/12 + z**3\/3 + 5*z**2\/2 - 438*z + 2. Let n(r) = r**2 + r + 4. Give -2*h(a) + 3*n(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/7 - 2903932*z**3\/7 - 2903928*z**2\/7 + 2903932*z\/7 + 2903930\/7 = 0?\nAnswer: -1451965, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 + 5 = 3*z, 30 = 5*x + 5*z. Suppose 3104002 = x*d - 1249998. Round d to the nearest 10000.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 226182 and 150524121?\nAnswer: 301048242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 2. What is s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*p + 109 + 118 = 0, -5*c = p - 292. Let w(b) be the first derivative of 3*b**2 - 15*b + 4. Calculate the remainder when c is divided by w(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -40 - (0 + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 44*g = 47*g + 6, -12 = 4*j - 3*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75958121 and -5.\nAnswer: 379790605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -52.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1280155.9 to the nearest 1000.\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 - 135. Let z(j) = -j**3 - 5*j**2 - 3*j + 12. Let a be z(o). What is the greatest common factor of a and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -0.1, 0.4, -0.09, 0.3 in ascending order.\nAnswer: -0.1, -0.09, 0.05, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = 0. Suppose p = -r + 2 - 6. What is the closest to 3 in -5, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27.00337 and -6860.\nAnswer: -6832.99663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -12*i**2. Let w(d) be the third derivative of d**5\/30 - 5*d**2. What is w(t(v))?\nAnswer: 288*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -275*x**2 - 3859 + 292*x - 6799 + 273*x**2 = 0.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27521383.\nAnswer: 27521383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*k - 5 = 0, 25 = 4*i - 3*k - 0*k. Solve -3 - 2 = 5*a, -11 = -3*z - i*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2*n + 24, 4*n = 634*f - 652*f - 88 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114828586 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*a + 113*a + 90*a)*(0*a - 4*a + 2*a + (4*a + a - 3*a)*(-3 + 2 + 0)) as u*a**2 + z*a + o and give u.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 10:54 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/8)\/(4\/56*(-1008)\/(-96))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-270))\/(8\/(-180)*(7 + -1 + -1)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 8:06 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3260874138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*g + 112*g + 86*g + (-1 - 4 + 3)*(-2*g + g + 2*g))*(0*g**2 + 4*g**4 + 0*g**2).\nAnswer: 1232*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 20. Let v be r(-7). Suppose -v*s = -5*s - 29. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 45 + 23 + 221*h**2.\nAnswer: 221*h**2 + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 31. Let s be r(-8). Let t be 44\/(-14)*s\/(-14). Which is greater: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2507 divided by 2507?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g. Let n = 12 - 8. Suppose 3*c + 4*j + 8 = -2, g = n*c - 2*j - 16. Solve 3*i + 2 = c*x, -5 - 9 = -5*i - x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*u + 1151 = -1533 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507635853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t - 6. Suppose -5*i = -4*i + 2*v + 10, -3*i - 10 = t*v. Suppose 4*p = -i*p - 4. Which is smaller: 1\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/24 - t**3\/2 + 2*t**2. Let h(p) = p + 5. Let l be h(-2). Give j(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 15, -11, 0.04?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 7105648*p + 14211312.\nAnswer: -4*(p - 1776414)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 5 - 3)*(2*a - 5*a + a) - a + 1 - 1 + 9*a - 4*a + 2*a)*(-2*a**3 + 103 - 103 + 5*a**4).\nAnswer: 50*a**5 - 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -7. List the prime factors of ((-47)\/(-5) - -2)*r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 128\/(12\/(-2 + -2) + 5). Solve -6 = -14*y + a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -346410, -692857, -1039304, -1385751, -1732198?\n\"Answer: -346447*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186 + 189. Suppose 0*d + 5*d + i*y = 92, 33 = 2*d + 5*y. What is the least common multiple of 5 and d?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 52.\nAnswer: 8.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-8)\/648 + (-1)\/(396\/(-28)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*1*1*5)\/(-5*(sqrt(10) - sqrt(10)*-1*2)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -220*h**4 + 296*h**4 + 407*h**4 + 2*h**2 + 2*h + 4*h**3 - 2*h**3 to the form u + f*h + r*h**2 + v*h**4 + c*h**3 and give v.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0557 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-9))\/(4\/48). What is the highest common divisor of a and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.098 + 61.098. Let o = 92969.60037 + -92908.6. Let w = o - t. What is w rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o - 4. Give s(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 - -5 - 30\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28\/5*m**3 + 0 - 3\/5*m**2 + 0*m = 0.\nAnswer: 0, 3\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10918.42 or 0?\nAnswer: -10918.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 153 = -5*w. What is the least common multiple of 19 and w?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342479 is divided by 1036?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.98 - 0.02. Let o = 5 + r. Let i = -10.8 - -10.81. Which is the third smallest value? (a) i (b) 2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 28.3511 nanoseconds?\nAnswer: 0.0000283511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 1.1, 5\/2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 207900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 97*g**3 + 164\/3*g**2 + 0 + 28\/3*g + 130\/3*g**4 - 25\/3*g**5 = 0?\nAnswer: -1, -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, -1\/5, -4, 2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -179, -264, -347, -428, -507, -584?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4573378*b**2*r**3 - 41279*b**2 - 190*b*r**2 + r**3 wrt r?\nAnswer: 27440268*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.03 (b) -2 (c) -0.57 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r - w - 304 = -137, -5*r = -10*w + 6*w - 253 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000102021 (base 3) to base 4.\nAnswer: 32133121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 1:20 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 75 - 393. Let l = -17099 - -17205. Let a = m - l. Solve y - j - j = a, -15 = 3*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127.785 - -128. Let r = 0.21056 - b. What is r rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3206272 (base 10) to base 12.\nAnswer: -10a7594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 3:07 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4681 is divided by 109.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 - 9*c. Let d(r) = r. Let a(g) = g**2 + 2*g - 1. Let z be a(-2). Let i(f) = z*m(f) + 2*d(f). Find the second derivative of i(j) wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11292 - 11290. Solve -19*a + 12 = 5*s - 22*a, 4*s + l*a = -8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 390 and 0.047.\nAnswer: 390.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.493 - -0.157. Round s to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 1\/11 (b) 2\/7 (c) -2\/7 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11 - 11 + 150*s**2 + 5 + 3*s + 5*s - 9 wrt s?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2595*s**3 - 13*s**2 - 210*s + 2517. Let r(m) = -1299*m**3 + 6*m**2 + 97*m - 1258. Let i(w) = 6*o(w) + 13*r(w). Differentiate i(z) wrt z.\nAnswer: -3951*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 a, and 1 h when three letters picked without replacement from {h: 6, g: 1, a: 12}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1707 - -1710.794. What is j rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*v - 5 - 1 = 0, -15 = y - 5*v. Suppose y = -0*u - 3*u + 12. Let b = u + -3. Is b greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12358 and 2368?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2678*l**3 - 93*l - 142*l + 326*l - 91*l.\nAnswer: -2678*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 32*i + 835. Calculate z(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.1 - -6.1. Let w = q - -12. Let o = -0.1 - -0.1. Which is the closest to o? (a) w (b) -1\/12 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 2 + 0 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*y - 18, 4*s - 6*s = y - 10. Suppose -s*n + 120 = 8*n. Solve 5*c - 26 = 4*q + n, -c + q + 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + (-19 - (-2 - 11 - 1)) + 6 + 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52862?\nAnswer: 2, 26431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Let i(k) = -3*k - 10. Let u(c) = i(c) + 4*q(c). Let n be (1\/2)\/(4\/32). Determine u(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.7 + 5.7. Let t = a + 11. Let h = t - -21.2. Round h to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 73.20693mm?\nAnswer: 7.320693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-15) - 7) + 9. Let l = -0.5 + 0.2. What is the nearest to m in -4, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 284 + -1 + -2 + 2. Suppose -3*i = 15, i - 135 - d = -k. Suppose 5*g = k + 742. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 835.1 + -835. Which is the nearest to -1? (a) w (b) 1 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (95\/57)\/(10\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 + 2.2. Which is the smallest value? (a) 1 (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Let y = 8.205 + -0.105. Let f = 8 - y. Sort h, 5, f in descending order.\nAnswer: 5, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 7. Let k be l(-7). Suppose 4*m + m - 565 = k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - 2*w + 2*w + 2 + 2*w - 2 + 2 - 2*w - 2 + (2 + 2 - 2)*(0*w + w - 2*w) - 2*w + 3*w + 0*w - 21 - 10*w + 10 + 9 in the form t*w + a and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, i: 3, q: 1, t: 3, y: 1, m: 3}. Give prob of sequence tqyk.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.1 + 1.1. Let u = s - -13. Let r = -0.46 + 0.86. What is the biggest value in r, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -16*s - 5817. Does 8 divide 277\/s - 9*(-904)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 6007212*l\/7 + 4510824501618\/7.\nAnswer: 2*(l + 1501803)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-7) - -1 - (-4)\/(-14). Let n(y) be the first derivative of -3\/2*y**j + 0*y - 1. Let b(o) = 2*o**2. What is b(n(d))?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -87 - 3?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 - 122*a**3 + 124236*a**2\/5 - 8489054*a\/5 + 8365427\/5.\nAnswer: (a - 203)**3*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 161630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/(-8) + 2\/(-16) - -11. Let y(x) = -x**2 - x - 1. Calculate y(k).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/5238 and 109\/432.\nAnswer: 41904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3806662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1981748, 4 in descending order.\nAnswer: 4, 0, -1981748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1865, -3741, -5615, -7487?\n\"Answer: g**2 - 1879*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/8 - 996*k**3 - 7971*k**2\/8.\nAnswer: 3*k**2*(k - 2657)*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2266 - -2234) + (9 - 0) - (118 + 3).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3.1. Let v = -0.4 + u. Let r(g) = g**3 + 17*g**2 + 31*g + 13. Let b be r(-15). What is the second smallest value in -3, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(72))**2 - (-5*sqrt(72) + -2)**2.\nAnswer: -1736 - 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2473*i**3*k**2 - 2*i**3*k + 98368*i**3 - 24*i*k**2 wrt k.\nAnswer: 4946*i**3 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(3)*6)\/sqrt(5).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - r = -13, -4*n - 3*r - 2*r + 41 = 0. Suppose 0 = 3*b - 2*x - 3*x + 11, -n*b + 2*x + 4 = 0. Solve 3*d - 2*s = 4, 4*s = -4*d + b*s + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 462 + -2303\/5. Which is the second smallest value? (a) -1 (b) u (c) -0.2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4727 divided by 1?\nAnswer: -4727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 1. Suppose 0 = 5*u + 25 + 5. Let q be 0*(1\/(-6) - u\/9). Let a(s) = -6*s - 6 + q + 12 + 0. What is 2*a(d) + 11*g(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 1713.71825\nAnswer: -1713.31825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 less than or equal to 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**3 - 682739*i + 668708.\nAnswer: -6*i**2 - 682739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Let l = 0.0223 - -3.9777. Put 2, r, l in descending order.\nAnswer: r, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o + 27. Determine n(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 12:34 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182728.\nAnswer: 2, 163, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4*s - 3*r**4 + 36788*r**3*s + 7*r**2 - 119*r*s + 1 wrt r.\nAnswer: -48*r*s - 72*r + 220728*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3*o\/o**(1\/6)*o*(o**(1\/3)\/o)**37*o*o*(o\/(o**7*o))\/o*o**(-2\/9)*o**(-5\/3)*o*(o*(o**(1\/6)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(-257\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3 + 783*x**2 + 4779*x + 7209 = 0 for x.\nAnswer: -3, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0009 and -0.0319743172?\nAnswer: 0.0328743172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 334007 smaller than 333929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244765\/22 - 11133. Let x = 15\/2 + n. Let k = -2 + 2.03. Which is the second biggest value? (a) k (b) 1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165.3 - -212. Let g = -579 - -626. Let i = f - g. Sort -5, i, -0.5 in decreasing order.\nAnswer: i, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13432741 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*l + 0*l + 0*l)*(-7 + 1 + 1) + 0*l - l + 2*l)*(l - 2*l + 0*l) in the form h*l + n + s*l**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 - 5)*(3*g + 29 - 29)*(21 - g - 21).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -10. Let g = -7.2 + m. Let o = -33 + 38. Which is the closest to -1? (a) 3 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254799634 to the power of 1\/2, to the nearest integer?\nAnswer: 15962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 5. Let t(n) = 4*n + 4. Let a(c) = 3*q(c) + 4*t(c). Let j(z) = z - 2*z + 0 + 2. Let k = -3 + 2. Calculate k*a(v) + j(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 10*m - 10. Suppose 5*y - 23 - 27 = -5*v, -3*y + 4*v = -9. Is 3 a factor of l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f - 71556 - 99849 = 0. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**4 - 28*p**2 - 766*p - 336628 with respect to p.\nAnswer: 4*p**3 - 56*p - 766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14)*(-168)\/(-120).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 15*l**2 - 43*l + 9. Determine x(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = f + 9, -12 = -5*f - y - 0. Let a = f + -1. Suppose -2 = -a*j + 8. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-46))\/(1\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.82 and 20.\nAnswer: 18.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u + 5*u**2 - 7*u + (0 + 0 + 2*u)*(2 - 7*u - 2) + u**2 - u**2 - u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 greater than 111\/1108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(3*r - 5*r - 4*r)*(3 - 3 + 1) as t*r + l and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35483651947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -40, 16, 126, 308?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -97*h - 114 - 143. Sort -4, h, -1, -2, 0 in descending order.\nAnswer: 0, -1, -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5236\/(-23751) + 4\/18)*1. Let q(a) = -a**2 - 3*a + 11. Let g be q(2). Which is bigger: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 - 48*t**2 - 1072*t - 1920 = 0. What is t?\nAnswer: -10, -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 144. Calculate the lowest common multiple of x and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 26*p + 138 = 0. Let c(t) be the second derivative of 0 + 0*t**4 + 1\/18*t**p - 5*t + 0*t**2 - 1\/60*t**5. Factor c(i).\nAnswer: -i*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 7607418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -36615 and -36618 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/184 and -17\/184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.38886 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 129. Is (l - 0)\/(6\/24) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 7982*w**2 - 5*w + 15959*w**2 - 7985*w**2 + w.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-66)\/54)\/(4\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(6\/4)*-3. Factor -x*l**2 - 6*l + 5*l + l**3 - 2*l**3.\nAnswer: -l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(66)*-2 + sqrt(66) - (sqrt(66) + (sqrt(66) - (-1*sqrt(66)*-5 + sqrt(66)))))\/(-3*sqrt(600)*-5).\nAnswer: 7*sqrt(11)\/150 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 794 divided by 1\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obqbqbqhbbbhhqq. Give prob of picking 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -0.32, -4 in descending order.\nAnswer: -0.32, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 54) + (4 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9572, 9551, 9530?\n\"Answer: -21*g + 9593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*a - a + 25, 0 = a - 3*v + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/3*(6 - (0 + 8)). Let k(f) = 28*f**2 + 8*f - 35. Is k(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 900\/(-8)*(-8)\/10. Suppose 0 = -5*f + 5*c - 4*c + j, -c = -5. What is the remainder when 47 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612\/9269 - 270\/(-5060)?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-144)\/(-32)*52\/6. Let l = v - 35. What is the second biggest value in 8, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 14. What is w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10441661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0223824697 to 5 dps.\nAnswer: -0.02238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 (base 7) in base 14?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250\/(2750\/(-363))*1\/((-3)\/(-2))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11114, 88871, 299940, 710981, 1388654, 2399619, 3810536, 5688065?\nAnswer: 8098866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 17*t**2 + 350*t - 25. Let m(x) = 6*x**2 + 117*x - 9. Give -11*m(d) + 4*o(d).\nAnswer: 2*d**2 + 113*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 963 - 3*b**2 - 963 + 0*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j - 15 = u, 21 = -3*j - 3*u. What is the biggest value in j, -0.1, -43?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303041, -605439, -907837?\nAnswer: -1210235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 3. Let h be l(0). Let z be 3\/(h + 6)*5. Let b(t) = 5*t**2 - t - 1. Let n be b(3). Solve z*w - n + 16 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*v, 13 = -2*q + 5*q + v. Suppose q*n + 2*n = -2*c + 6, 36 = 5*c + 2*n. Let b(p) = p**2 - 7*p - 2. Determine b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j + 37. Let a be l(-6). Is a not equal to 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-31))\/w)\/w)\/(w\/(w**38*w)))\/(w**(-1\/43)\/w*w**(-38)*w) assuming w is positive.\nAnswer: w**(4559\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 3*n**5 + 609*n**4\/2 + 8076*n**3 - 10209*n**2 - 5043*n - 651. Find h, given that p(h) = 0.\nAnswer: -41, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 13 - 41 = 0. Let t = 7 - q. Suppose -u - n + 12 = -t, -5*u + 5*n = -20. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4\/6 + t**3 + 2*t**2 + 5*t. Factor q(f).\nAnswer: 2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -93372 and -186741\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 251801812*x + 7925519065810418.\nAnswer: 2*(x + 62950453)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*h + 3. Suppose h = -3*i - 2*i, -5*o = -3*i - 23. Solve o*k = -20, 4*f - 3*k = f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722664.\nAnswer: 2, 3, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 3\/1669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, 0.2, -2\/9, 340 in ascending order.\nAnswer: -4\/13, -2\/9, 0.2, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.168 + -0.232. What is the third smallest value in f, -1, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -18*s**3 - 19*s**2. Let w(x) = 9*x**3 + 9*x**2. What is -6*m(d) - 13*w(d)?\nAnswer: -9*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 3796*x + 7 + 3684*x - 7 + 6 to the form c*x + g and give c.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*1*4 + 2 + 2*((sqrt(1377) - sqrt(1377)*-3) + 2).\nAnswer: 6 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-1)\/(-1) - -1). Suppose -c - s = -5*s - 67, -c - 4*s + 99 = t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7660 divided by 4560.\nAnswer: 383\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*l + 279, -168 = -0*q - 3*q - l. Suppose -2*x + 87 = -4*u - q, 336 = 5*x + 2*u. What is the greatest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p + 2 = -4*x, -x = 3*p - 16. Suppose -2 = -p*c + 100. Let f(i) = -22*i + c*i - 1 + 1. Let m(k) = -k**2. Give m(f(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 289*t**2 + 4*t + 3. Is g(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 11*z**2 - 14*z + 5. What is i(-9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-169) - 35\/(-5)*45\/(-65).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -j + 6, 650*o = -j + 655*o - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s**2 - 6. Let y(j) = j**2 + j - 1. Let g(f) = c(f) - 8*y(f). Let d be g(6). Find the common denominator of ((-36)\/240)\/(24\/d) and -85\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 2 - n + 3*n)*(-n - 14*n - 11*n)*(5*n - 2*n - n)*(-2*n**2 + 0*n**2 - 2*n**2).\nAnswer: -416*n**5 + 416*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2318, -2208, -2100, -1994, -1890, -1788?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 100*((-6)\/2 + -52). Round r to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**30\/(l\/(l*l*l**(8\/5)))*(l**4*l)\/l**(-1\/7))**(4\/35) assuming l is positive.\nAnswer: l**(5284\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -320, 4 in ascending order.\nAnswer: -320, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36796561?\nAnswer: 157, 223, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27813, -20750, -13687?\nAnswer: -6624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -975 by 72.\nAnswer: -325\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3078) - -1*sqrt(3078)*-5)\/(sqrt(288) - (sqrt(288) - (sqrt(288) - -4*sqrt(288)*2 - sqrt(288)))).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -441?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6006905 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14374 or 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3399*c**2*d**2 + 20*c**2*d + 15515*c**2 - 44*c wrt d?\nAnswer: -6798*c**2*d + 20*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543 - 543 + 118*h - 534 + 1623.\nAnswer: 118*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -92\/7*w**2 + 2116\/7*w + 209 + 4\/21*w**3. Factor f(c).\nAnswer: 4*(c - 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18 - 22)*(-555)\/10. Calculate the greatest common divisor of 102 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 8 = 3*m + 2*n, m = 528*n - 536*n + 74 + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/705136 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + (1 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977794393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.35*3053\nAnswer: 1068.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0201 less than -42.433?\nAnswer: -42.4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57075073.1 rounded to the nearest 10000?\nAnswer: 57080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -5 (b) -0.09 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051200170 to the power of 1\/3, to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -1b5?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 38*o**2 + 17*o. Let t(j) = -12*j - 10*j + 32*j + 13*j**2 - 4*j. Let w(q) = 4*k(q) - 11*t(q). Find the second derivative of w(i) wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4495 and 44428.\nAnswer: 6886340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 540*n + 545*n + 13, 2*n = m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/22 - (-3451)\/77. Suppose j = -4*s - 51 - 22, 41 = -2*s + j. Let k = s + l. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -1, -11, 10 in increasing order.\nAnswer: -50, -11, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 556 + 58)*(0*o + 1 + o - 5).\nAnswer: 652*o - 2608","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than 88?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**5\/20 + 7*l**4\/12 + 3*l**3 + 2*l**2 + 7*l. Let h be y(9). Solve -h*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11035494143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1698046 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y*y\/(y\/y**(1\/18))*y)\/y)\/y*y**(2\/7))\/(y**(2\/13)\/y)**(-48) assuming y is positive.\nAnswer: y**(-62693\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Sort 3, j, -15 in increasing order.\nAnswer: -15, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -96, -106, -116, -126, -136?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 2\/11, 2, -3, -21, 105.06?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 100?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -3, 2\/7, -0.2, 0, 16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -236*s**2. Let p(m) be the first derivative of -2*m**3\/3 + 866. What is q(p(b))?\nAnswer: -944*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f - f - 8*f - 46 - 6*f. Let g be s(-23). Solve g = -2*o + v + 3, -5*o + 7 + 1 = -2*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691662987 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58602079 + -58605183.4023. Let q = s + 3105.7. Let d = q - 1.3. What is d rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1510 - 1511. Which is bigger: -5\/36 or v?\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/34371496 and 75\/464.\nAnswer: 68742992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - -38. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28037 to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40\/3 + -35\/6. What is the common denominator of 3*((-22406)\/1887 + 12) and z?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 12*k**2 + 10*k + 14. Let v(n) = n**2 + n + 1. Let p(r) = 2*c(r) - 22*v(r). What is the units digit of p(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/3 - 27152822*o**2\/3 - 271528070*o\/3 - 226273350 = 0. Calculate o.\nAnswer: -13576401, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 512 - 272. Suppose 0 = -8*f + 368 - t. Calculate the smallest common multiple of f and 21.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 3, g: 3}. Give prob of picking 3 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 13*r + 2. Let j be u(11). Let z be (-3 + j\/(-8))*0. Suppose z = -4*c + 5*s - 0 - 13, s - 5 = 0. Solve -4*k - c = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 0.4, 0, 1\/756?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000689449 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -43*h**4\/6 + h**3\/3 + 1526*h. Calculate s(-1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 10 + 12 - 5*g. Let f(n) = -n**2 - 25*n + 9. Let s(o) = 9*d(o) - 2*f(o). Determine l, given that s(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -869, -5984, -15347, -28958, -46817, -68924?\n\"Answer: -2124*v**2 + 1257*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 112 - 24 = -4*r, -5*r + 169 = 4*j. Let w be 1\/((-1)\/j*-4). Solve 5*m = w + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 319, 430?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1177109, -1177099, -1177077, -1177037, -1176973, -1176879, -1176749, -1176577?\nAnswer: -1176357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(10\/5 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391548399.\nAnswer: 3, 11, 47, 252449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - r**2 + 287*r - 90*r + r**2 + 0*r**2 - 2*r**2 + (r**2 + r**2 + 0*r**2)*(3 - 3 + 2).\nAnswer: 4*r**2 + 197*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**3 + 2*l**2 - 6*l**3 + 6*l**3 + 49 - 38 - 7*l**2. Let w(c) = 3*c**3 - 2*c**2 + 4. What is -3*b(p) + 8*w(p)?\nAnswer: -3*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-6) - (-2)\/(-2). Suppose j*l = -2 + 17. Suppose -q + 16 = l*b - 22, -5 = -q. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1471, -1513, -1565, -1633, -1723, -1841, -1993, -2185?\nAnswer: -2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 99. Let z = f + -9.4. Which is the nearest to -0.07? (a) 1\/11 (b) z (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3213*l + 12503. Calculate y(-4).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3626 in 6, 0, 3\/247, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 24*p**3 + 70 + 564*p**2 + 5*p - 15*p**2 - 72.\nAnswer: 24*p**3 + 549*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 21*m**2 + 23*m**2 + 3378*m**3 - 6 - 6*m - 38*m**2 - 3379*m**3. Let r(t) = -2*t + 9. Let s be r(2). What is x(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 23*l**2 + 9*l - 18. Give o(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -114, 3, -99266, 1\/4?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -29. Let h = -11.1 + q. What is the closest to h in 1\/4, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 5*u = 19*f - 80, -5*u = 3*f - 52. Let n be 126\/36*16\/f. Solve 0 = -5*p - 20, -2*v = 2*v - n*p - 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -91, -0.2, 0.461, 2\/45, -2\/11?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -3 - (22 + -7)) + (6 - -19) + -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 4*s**3\/3 + 5*s**2\/2 + 35*s. Let w(a) = -88*a - 56. Give -5*w(t) - 56*z(t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ppclilippccppixxcipi?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -157, -337, -587?\n\"Answer: -35*k**2 - 5*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 118\/13*c + 742\/13*c**2 - 460\/13 + 6\/13*c**4 + 170\/13*c**3 = 0. What is c?\nAnswer: -23, -5, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 10*n - 26 = -10*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2731246 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 57331 to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583108527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(396) + -1*sqrt(396))*-2 + sqrt(396) + sqrt(396) + 2 - (0 + (sqrt(396) - (sqrt(396) - (sqrt(396) + 0)))*5))*1)**2.\nAnswer: -648*sqrt(11) + 32112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235429155 is divided by 59.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/(261\/27). Let f = c + -85\/58. Sort 2\/13, f, -0.2 in descending order.\nAnswer: 2\/13, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Suppose 4*r + r - 6 = -2*h, p*h - 12 = 4*r. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 418024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2559 - 5148 + 2978)*((2 + 1 - 2)*(-i**2 - 2 + 2) + 5*i**2 + 12*i - 12*i).\nAnswer: 1556*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.5 + -50. Let k(q) = q**3 + 5*q**2 - 2*q + 29. Let t be k(-6). What is the nearest to 3 in j, 2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + -2 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 - (-4 + (-13 - -18)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 3*g - 6. Let p be u(-5). Let j be (p - 2) + -1*4. Let x = -2 - j. Solve a + a = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {c: 1, k: 4, b: 1, h: 6, q: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqb when three letters picked without replacement from nqnqobq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 992*b - 61504.\nAnswer: -4*(b + 124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1350 - -1350.9. What is the closest to 0 in -0.028, 2, s?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00628403 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9865422 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1303237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -10*f + 4. Which is the third smallest value? (a) 0.3 (b) f (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/612 and 57\/136.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 o when four letters picked without replacement from githtgitooddditiii.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 8*j. Let u be f(8). Solve 4*m + u*m = -20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 3*a**2 + 2*a**2 + (-4 + 4 + 2)*(a**2 - 4 + 4))*(-78 + 78 - 13*a).\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/1225 + 176\/1225. Which is the fourth smallest value? (a) -2\/5 (b) f (c) -838 (d) 3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1350)\/(-210))\/(-45)*(-1)\/17*2.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, p: 4}. What is prob of sequence pz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33 (b) 738 (c) 133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1186 + g - 127*g**3 - g + 1186.\nAnswer: -127*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/7))**(-21)*(b*b\/(b**(2\/33)*b)*b)\/(b\/(b**(1\/12)*b)) assuming b is positive.\nAnswer: b**(617\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Suppose 3*w + 6 = p - 4, 2*w + 7 = p. Let v(q) = 13*q**2 - 25*q**2 + 8*q**2. Determine p*v(s) + 6*r(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 30*j + 1252. Give l(-48).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + sqrt(51)\/sqrt(3) + -3)) + 0 + (sqrt(1088) + -1*sqrt(1088) - sqrt(17))**2*6.\nAnswer: -sqrt(17) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(51)*-2 + sqrt(51))*2)\/(sqrt(21)\/(sqrt(35)\/sqrt(5)) + sqrt(3)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.19 + 0.19. Let x = -0.06 - 0.94. Let g = 1.1 + x. Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 = -3*r. Let d = 207\/4 + -52. What is the nearest to r in d, -4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2\/85*n**5 - 1\/17*n**4 + 4\/17*n**2 - 8\/17*n + 2\/17*n**3 + 194. Factor v(p).\nAnswer: -2*(p - 1)**2*(p + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 243 and 2?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21193 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 6*g**2 - 8*g + 7. Let t be u(6). Let k = -167\/4 - t. Let z be 2*(-4 - 95\/(-25)). Which is the closest to z? (a) k (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**0\/((d**1*d)\/d)*((d\/(d\/d**3*d))\/d)**(-43) assuming d is positive.\nAnswer: d**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77671*r + 228831*r - 78336*r - 79044*r to the form a*r + y and give a.\nAnswer: -6220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/((-3)\/(-12)). Suppose -p + 5 = -u*c, 2*c - 35 = -3*p + 4. Suppose -3*y = -4 - p. Calculate the least common multiple of 11 and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {e: 4, r: 4, d: 1, x: 1, v: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*u**4 - 2183*u**3 + 4651*u**2 + 19 wrt u?\nAnswer: -168*u - 13098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*n = 150 + 2, 2*q - 5*n - 265 = 0. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 6:35 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**7\/2100 - m**6\/900 - m**5\/75 + m**4\/15 - 23*m**3\/3 + 108*m**2. Let z(j) be the first derivative of i(j). Factor z(a).\nAnswer: 2*(a - 2)*(a - 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 5*w**2 + 6*w + 3. Let v be r(6). Suppose 3*b + 2*u = -v*u + 10, -32 = -4*b - 2*u. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 70 = 23*i - 19*i, d + 8839 = -i + 8835 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.04, -2, -22, -6, -2\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-37415.\nAnswer: -374.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1024840.38\nAnswer: -3074521.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -11 - -8) + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 380, 0.06, 165\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2293726173 to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15\/14 - -3\/7. Suppose 3\/2*x - 3 + f*x**2 = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968113?\nAnswer: 7, 281159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:31 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-2 + 5) + 63\/(882\/56) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6782, -6788, -6794, -6800, -6806, -6812?\n\"Answer: -6*v - 6776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 7238*i + 3603*i + 3635*i. Let v(n) = 3*n**2 - 2*n - 2. Let b(r) = -9*r**2 + 7*r + 7. Let c(l) = 6*b(l) + 21*v(l). What is s(c(u))?\nAnswer: 162*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*d - 9, 3*x - 5*d = -0*x + 4. Suppose 0 = -x*t - 0*t + 45. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*m = -45, -21*u + 60 = -17*u + 7*m. Solve u = 112*a - 115*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k = 2*d - 16658, 5*k = -d + 8329. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 11) to base 3.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2229*m + 2228*m - 2, 48*m + 5*s + 53 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20130 (base 6) to base 7.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 5*j**2 + 1. Is q(3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20011022110212200 + 12?\nAnswer: -20011022110212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17380679*b*y + 255375042*b with respect to y.\nAnswer: 17380679*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -29 - (-11 - -10).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (98 - 39) - (38 - 28)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/112 - 135754\/(-2884).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is dd (base 14) in base 7?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 + 19*w**2 + 25*w + 7. Let o(i) = i**3 + 10*i**2 + 14*i + 4. Let b(p) = -11*o(p) + 6*q(p). Give b(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let k(o) = 23*o - 4. What is w(k(a))?\nAnswer: 1058*a**2 - 368*a + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 106432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 6, -4 in decreasing order.\nAnswer: 6, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/853645 and 107\/11134500.\nAnswer: 256093500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -435330 rounded to the nearest one thousand?\nAnswer: -435000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9500133 milligrams in grams?\nAnswer: 0.0009500133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -313*-21\nAnswer: 6573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.21 + -0.15. Is c not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2526 = 699*t + 196*t - 5529 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 15474*i**2. Let j(d) = 2*d. Give o(j(r)).\nAnswer: 61896*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 1:55 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-7)))\/(p*p**(-6)) assuming p is positive.\nAnswer: p**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503454?\nAnswer: 2, 3, 7, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + -238. Put 5, -1, t in increasing order.\nAnswer: t, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(1\/4)\/y*y)\/y))\/y)**(1\/44)*(y*y**2\/y*y)\/(y*y\/(y\/(y\/y**(5\/6)*y*y))*y) assuming y is positive.\nAnswer: y**(-619\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h + 2*h**3 - h**3 - 1 + 0*h**3 - 2. Let n be m(3). Let g = 21 - n. Which is bigger: -16 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 3*b, 5*j + 13453 = 13438 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/q**(-1\/5))\/(q**(-9)*q**5) assuming q is positive.\nAnswer: q**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1295 + 912?\nAnswer: 1ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125892.10035 - 125922.1. Let i = t - -30. What is i rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20080531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*r - 3 = -2*i + 15, 81*r = -1285*i + 1287*i + 231 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/120 - 7*w**5\/60 + w**4\/3 + 3*w**3 - 9*w**2. Calculate the lowest common multiple of (1\/2)\/((-1)\/(-14)) and k(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -2. Suppose -4*t - f*s + 651 = 0, -t - 3*s + 154 = -0*t. Suppose 49 - t = -4*o. What is the greatest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**4\/12 - t**3\/6 - t**2 + t. Let p be v(-2). Suppose 0*x + 2\/3*x**p + 0 + 0*x**2 - 1\/3*x**3 - 1\/3*x**5 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + -11 + 0\/20.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffs when three letters picked without replacement from {f: 2, i: 2, y: 1, s: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/64*91\/(-35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/(-8))\/((-2)\/(-15)*-6). Solve 6*o - 3*l = 5*o - 6, -u*l = -o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -174619 and -49825.\nAnswer: -224444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/18)\/((-1682)\/355743).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {r: 1, e: 9, i: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -113\nAnswer: -192.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -136798, -136799, -136800, -136801?\n\"Answer: -n - 136797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*g + 461 = 3*g, -5*m - 3*g + 574 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a decade in months?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2802109 (b) -5 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -222*v**2 + 222*v**2 - 3*v**3 - 4*v in the form k*v**3 + c + i*v**2 + r*v and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/22 and -57\/280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/36 + (-15)\/(-27).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6447584742.\nAnswer: 2, 3, 1074597457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) + 9\/9. Let a = -43\/381 + -2043\/1778. Find the common denominator of a and q*(-2)\/8*-49.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105224 and 3758.\nAnswer: 105224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z - 13\/8*z**4 + 0 + 1\/15*z**5 + 0*z**3 - 9*z**2. What is the second derivative of v(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-132)\/(-24) - (-6)\/4. Is 26 a factor of (-1938)\/(-21) + (-2)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 0*g - 4*g)*(0 - g**3 + 0) + (-4*g + 3*g + 0*g)*(-g**3 + 0*g**3 + 2*g**3).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6731 and 520192.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/7 + 1071929*l**3\/7 + 5359670*l**2\/7.\nAnswer: -l**2*(l - 1071934)*(l + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2573, 2568, 2559, 2546?\n\"Answer: -2*s**2 + s + 2574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + (-1 + (sqrt(171) - (0 + sqrt(171))) - sqrt(171)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqqj when four letters picked without replacement from {q: 2, x: 7, j: 6}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 + -1.11. Let p = -1 - -3. Sort -5, q, p.\nAnswer: -5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 5:06 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = -2*p - 2*m, 0 = 2*p + 4*m - 24. Is (-462)\/(-4) - 2*1\/p a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 + 150.1. Let v = 9.1 - u. Which is the second smallest value? (a) v (b) -0.1 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 - 9 = 0. Let y(b) = b**2 - 3*b - 2. Let s(r) = -4*r + 2. Calculate the lowest common multiple of y(h) and s(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/764892 and 19\/5927913?\nAnswer: 23711652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 10*v + 51. Let p be y(-8). Suppose -27*k - p = -34*k. Suppose -555 = -8*u + k*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.95 - -2. Let d = -2.95 - l. Let o = 0.14 + -0.24. Sort d, 1\/3, o in decreasing order.\nAnswer: 1\/3, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111382234 to the power of 1\/2, to the nearest integer?\nAnswer: 10554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**4 - 160*t**2 + 83*t**2 + 2 + t - 14*t**3 + t + 78*t**2 to f*t**3 + v*t**4 + c*t**2 + p + z*t and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 7\/8, -2\/195, 2, -9, -2 in descending order.\nAnswer: 2, 7\/8, -2\/195, -0.3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5290, -22447, -53676, -101131, -166966, -253335, -362392?\nAnswer: -496291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 2*l - 6. Let s be c(4). Suppose -r = -6*r + 55. Suppose -5*a + 4 = -r. What is the closest to s in -0.4, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354803\/26 bigger than 90568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 24 = -2*h, -h = 9342*d - 9345*d + 12 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5625 + -4797. What is the lowest common multiple of 92 and w?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 2*a + 3. Let s(w) = w**2 + w - 2. Determine 3*o(q) + 5*s(q).\nAnswer: 2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2713*j - 943. Does 162 divide f(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/30*3*3216\/(1541\/23).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459564 and 98364.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t + 24. Let v be p(11). Calculate the highest common factor of v and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, n: 2, i: 3, l: 1, h: 8, t: 1}. What is prob of picking 2 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20751 + -0.130753.\nAnswer: -20751.130753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 13, 3, -351, 2\/7, -1?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 19*n + 29*n - 10829 = 0. What is the least common multiple of n and 130?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(0 + 0 + 3) + 2 - 3 - 1)*(-3*g + g + 3*g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0923 - -0.0077. Which is the nearest to -18? (a) 3\/5 (b) 0.3 (c) f (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -281, -348, -415, -482, -549?\n\"Answer: -67*v - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 132. Suppose 0 = -2*r + 7*r + 3*i - 10, -3*r + 5 = v*i. Suppose -4*o + 3*a + 5 = 0, -9*a + 10*a - r = 0. Solve 7*q = 2*q + o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5\/3 - 82814*n**4\/3 + 939254108*n**3\/3 - 1697320590244*n**2\/3 + 839328508582690*n\/3 + 841026768509858\/3 = 0.\nAnswer: -1, 1043, 19661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 14*i - 14. Let y be q(-10). Let m = y + -25. Solve p - 5*p + 11 = -3*f, 3*f + 2*p = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.05, -22, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/45 - (-3)\/5. What is the nearest to 0.1 in q, -5, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.423155 millennia to years.\nAnswer: 423.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**7\/504 - 13*r**6\/216 - 2*r**5\/3 - 5*r**4\/2 + 14*r**3 - 26*r. Let b(z) be the second derivative of m(z). Factor b(n).\nAnswer: -5*(n + 1)*(n + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/60 + q**4\/12 + q**3\/3 - q**2. Suppose -3 = -3*c + 4*c. What is o(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002525112 rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3071 = -2*u - 551. List the prime factors of u.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*j + 8 + 9, -t - 5*j = 7. Find the second derivative of 18*k**3 - 8 - 2 - 19*k**t - k**5 + 2*k wrt k.\nAnswer: -20*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**7\/2520 + k**6\/120 + k**5\/24 - k**4\/4 + 15*k. Let a(v) be the third derivative of z(v). Give a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31020 - 30909. What is the second biggest value in 0, z, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4186 is divided by 2050.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 times 485?\nAnswer: 81965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 17. Let v be w(9). Let x be (66 + 2)*(-6)\/v. Find the common denominator of -1 + x\/(-22) + 1 and 65\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k - 2. Let q(p) = -p - 1. Let n(f) = q(f) - v(f). Let a be n(2). Solve -2*r - 4 = 2, -a*z + r + 8 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*u - 517*u = 97837 + 14786 for u.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -6) + -8 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o + 4*q - 24 = 0, -2*o = 4*q - 14. Solve 2*c - 3 - o = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76\/(-5)*5\/(-1). Is x <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m**3 + m**3)*(7*m + 15*m - 6*m) - 2*m + 2*m - m**4.\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**7\/1260 + o**6\/360 + o**5\/30 - o**4\/6 - 2*o. Let w(l) be the third derivative of b(l). Factor w(j).\nAnswer: -2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 303724673 a multiple of 914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1144 or -17658?\nAnswer: 1144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 + -1 - 6) + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-10)*8545\/5*-5. Suppose -9*n + 29046 = -t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27826000 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 214838\/(-74367)*6\/65?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 445*l**4 - 45882*l**3 + 403486145*l**2?\nAnswer: 10680*l - 275292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-3)\/(-18))\/(-12 - 868\/(-72))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {o: 1, a: 4, t: 1, m: 7}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/3 - 12*d**3 - 38*d**2\/3 = 0.\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**(-37)*(s**(-20)*s)\/(s\/s**(1\/6)) assuming s is positive.\nAnswer: s**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = -143*z + 11 + 6830 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2686739*r**3 + 3223340*r.\nAnswer: 16120434*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 + 2*m**3\/3 - 3*m**2\/2 + 2*m. Calculate the least common multiple of u(-6) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (154\/(-44))\/(1\/((-16)\/(-2))). Is x less than or equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -124879436144\nAnswer: -124879436144.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/30 and 161\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*f + 147*f - 283*f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 866859 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44041905 times 3?\nAnswer: 132125715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h - 141*h - 382*h + 3 - 106*h.\nAnswer: -594*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.3. Suppose -144 = -4*k - 0*k. Let m = k + -181\/5. What is the closest to -0.1 in m, 4, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14013 or 84077\/6?\nAnswer: 14013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 2. Let t be a(0). Let y = 6 + t. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*z = -2*z - 18, -8 = -4*g + 2*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 <= -176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)*(-14 + 23).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/14 and -3\/620?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r + 13 + 1. Let n be 6 + r + 27 + -2. Which is the third smallest value? (a) -2\/3 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 3*t**2 - t - 4. Let p be i(4). Calculate the remainder when 1\/(285\/(-145) + 0 + 2) is divided by 17 + 2 + p\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 357 + -357. Which is the second biggest value? (a) x (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/14*(-3)\/(-9). Let m = -0.4 + 0.28. Let t = m - -5.12. What is the second smallest value in a, -3, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + f**2 + f + 1. Let p(z) = -7*z**3 - z**2 - 4*z - 11. Let a(k) = -p(k) - 6*v(k). What is a(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86077*r - 5789.\nAnswer: -86077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czz when three letters picked without replacement from {z: 2, c: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let r be x(-6). Suppose 3*i + r + 2 = 3*z, -4 = 2*i. Is 1759\/1*(z + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q + 72 = 0. Calculate the greatest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + 1)*(3*l + 0*l - l) + 2*l - 4*l - l + (5*l - 4*l + l)*(-4 + 0 + 3) + 0*l - 2*l + l)*(-3 + 2 - 5) in the form x + a*l and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 14 = -2. Is l greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/7 - 34*l**4\/7 - 144*l**3\/7 + 34*l**2\/7 + 145*l\/7 = 0. What is l?\nAnswer: -29, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*v = -3, p - 4*v = -3*p - 12. Let u = 0 - p. Suppose d + 2*d = 9. Solve d = u*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9. Let u(m) = -4 + m**3 + 9*m + 0*m**3 + 2*m**2 - 10*m**2. Let p be u(7). Solve -b + 4*n = 6, -5*b = -o*n + p + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1687719 is divided by 249?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/216 and 85\/2079.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 804 = 2*s. Suppose 0 = 105*i - 108*i + s. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let t be (-1 + u)*(-2)\/6. Let v be (-59)\/(-6) - (130\/5 + (-36 - -20)). Are v and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 882020*n + 38897964020.\nAnswer: 5*(n + 88202)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292171 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 45*k**2. Let r(b) = 129*b - 35. Determine w(r(z)).\nAnswer: 748845*z**2 - 406350*z + 55125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 16. Suppose -t = -0*n - n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.36 - -32. Let q = 0.0534 + -10.6934. Let x = q + g. Which is bigger: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*n**3 - 56*n**3 - n + n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 1. Let b(c) = c + 3. Let k(i) = 1. Suppose -4*z = -y - 4, -3*z = -4*y - 0*y - 29. Let l(s) = y*k(s) + 3*b(s). Give -3*l(j) - 4*p(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -285971.18115 rounded to the nearest integer?\nAnswer: -285971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.438 + 69.438. What is the biggest value in 5, -3, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a + 15 = 0. Suppose 0 = -5*v - 3*n + 4, 0*v + n = -3*v. Put -4, a, v in descending order.\nAnswer: v, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 10:41 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4)**(-36)\/(u**(-4)\/u)**39 assuming u is positive.\nAnswer: u**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12011, -48065, -108151, -192263, -300395, -432541, -588695?\nAnswer: -768851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -44. Let a(x) = x + 65. Is 13 a factor of a(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454101008 to the power of 1\/2, to the nearest integer?\nAnswer: 38133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 212200001 (base 3) to base 8\nAnswer: 41546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 0 + 0 + j. Let h = -4 + 1. Let r = h - -3. Determine w(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) -1 (c) 3 (d) 0.097\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -17 + (-5 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 645*(13244\/(-645))\/154?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5012 and 20.\nAnswer: 25060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 2*h**2 - 3*h + 2. Suppose -4*i + 5*v - 43 = 0, -16 = i + 57*v - 59*v. Let b(k) = -2*k**3 + 5*k**2 - 7*k + 5. What is i*b(s) + 5*q(s)?\nAnswer: -s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0b4 (base 13) to base 3.\nAnswer: -1020100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342203304 (base 5) to base 2.\nAnswer: 101110011101010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22258 - 5536.\nAnswer: 16722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 - ((-6839)\/700 + 3) and 49\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131644900 to the nearest 100000.\nAnswer: 131600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -11 - (-46 + 35)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(39\/(-9) + 3). Let a = -5 - -8. What is the closest to 0.1 in j, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2224)\/(-32) + 1 + (-2)\/4. Let k be 11\/(110\/v) + -2. Solve 0 = -23*t + 24*t - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224 (base 13) to base 9.\nAnswer: -448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 30. Suppose 98 = -g*n + 282. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 14*a**2 - 23*a + 15. Suppose 27 = -6*y + 99. Let c be b(y). What is the greatest common divisor of c and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 146, 146, 136, 110, 62, -14, -124?\n\"Answer: -z**3 + z**2 + 4*z + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -46. Let y = 38 - l. Let x = 101 - 3533\/35. Which is the nearest to y? (a) x (b) 1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83.1 + -85.1. What is the closest to 2 in -1\/4, j, -4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + 4*k)*(3*k + 2 - 2) + (-2 - 2*k + 6 + 1)*(10 + 1 - 12 + k).\nAnswer: 4*k**2 + 7*k - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 916146121*v**5 + 5*v**2 - 41810*v - 45 wrt v?\nAnswer: 54968767260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3\/4 + 15*f**2 + 57*f\/4 = 0. What is f?\nAnswer: -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 4. Let o(i) = 4*i + 9. Let z(q) = 7*g(q) - 3*o(q). What is the units digit of z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.25. Let r = 53891 + -53890.950006. Let w = r - b. Round w to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 83173 - 8*d**2 - 83173.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(320) - sqrt(320))*3)**2 + 4*(-3 + sqrt(320)) - 1*(5*-2*sqrt(320))**2*-6.\nAnswer: 32*sqrt(5) + 203508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423894 and 75938.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360305790 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -551, -1083, -1615, -2147?\n\"Answer: -532*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10)\/(((-77)\/(-56))\/11)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 584\/(-10) + -6 + -9 + 1656\/115?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 7\/60*v**5 - 2\/3*v**3 + 0*v - 1\/12*v**4 - 27*v**2 + 0. Let x(i) = i**2 - i - 1. Give -j(t) + 2*x(t).\nAnswer: -5*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(77) + 2*sqrt(77))*-2)\/(sqrt(14)\/sqrt(8))*6.\nAnswer: -216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -732 + 1273. Suppose -w + 189 = -4*k. Suppose 0 = 3*x + 2*o - 173, -o + 27 = 2*x - k. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(12\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*o + 59*o + 8*o**4 + (-o**3 + o - o)*(1 + 2*o - 1) + 0*o + 0*o - 2*o**4 to v + a*o + x*o**3 + m*o**2 + y*o**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61, 127, 195, 265, 337?\n\"Answer: n**2 + 63*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/(-20)*10\/1. Let g = b + 141. Suppose -c - 6 + g = 0. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 53724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h + 525. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + q = -11, -3 = -9*u + 4*u + 3*q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/8 + 5061*n**3\/4 + 8537907*n**2\/2 + 4801149703*n.\nAnswer: n*(n + 3374)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19200 + 19425. Calculate the smallest common multiple of t and 1215.\nAnswer: 6075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 - 20*r**2 + 369*r - 1944.\nAnswer: (r - 27)*(r - 24)*(r - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 66494.973132 - -0.4?\nAnswer: 66495.373132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 33 = 5*b, j - 3*b - 11 = -j. Let l be ((-2)\/(-4))\/(j\/(-36)). Let f = 167 + -95. What is the highest common divisor of f and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -693 times -1236?\nAnswer: 856548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6460305?\nAnswer: 3, 5, 83, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 406*o**2 + 24*o + 447. Is t(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d**2 - 19*d - 4. Let w be l(10). Let c(i) = 4*i**3 - i - 3*i**3 + 7*i - 7*i**2 + 6. Give c(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1398*b + 4453. What is k(3)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - r**2 - 3*r + 1. Let a be g(-2). Let v(o) = 15*o**2 + 4*o + 2. Is v(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 - 132\/(-12) - 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from ohchhohhohco.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 6*t. What is the remainder when d(4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let d(q) be the first derivative of -114*q**2 - 2*q + 253. What is d(x(i))?\nAnswer: 228*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30549, 242127, 815757, 1932465, 3773277?\nAnswer: 6519219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/84109073 and -39\/11?\nAnswer: 925199803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 42*w + 25. Let d = 235 - 230. What is the tens digit of l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 95515.5g?\nAnswer: 95515500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a2 (base 14) to base 3.\nAnswer: -1210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3254 or 3256?\nAnswer: 3254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -26*m**2 + 5*m - 21. Let w(o) = 25*o**2 - 6*o + 22. Let b(i) = -6*s(i) - 5*w(i). Find the first derivative of b(n) wrt n.\nAnswer: 62*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 721 and 2114?\nAnswer: 217742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3355964 + 596731.\nAnswer: -2759233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 250. Give f(-51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 51953?\nAnswer: -51952.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iieiiieieeiie. Give prob of sequence eeee.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 - -86 - (0 + (3 - 5) - -14).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10915170 divided by 14?\nAnswer: -779655","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -205195749 minus 0.2?\nAnswer: -205195749.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 266977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61542054 and 7194.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 2 + 4 - s - 4 + s + 4 + (-4 + 1 + 2)*(-3*s - 2*s + 4*s) + 9178 - 9178 + 243*s.\nAnswer: 244*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1.215\nAnswer: 0.6075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*g + 71*g - 478 - 234 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 24501.\nAnswer: 1\/24501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101100101100011011110 - -1?\nAnswer: -1011101100101100011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7680\/(-6))\/32*((-2)\/1)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 674781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u - 12. Determine b(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49452.\nAnswer: 2, 3, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y - 5*y**2 - 2*y**3 + 7 + 25*y**2 + 3*y**3 - 27*y**2. Determine u(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2336*t**4 + 15*t**2 + 87437 wrt t.\nAnswer: 9344*t**3 + 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -6. Let a = 10 + -5. Put c, a, -5 in decreasing order.\nAnswer: a, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 109 - h**3 + 68 + 28 + 0*h**3.\nAnswer: -h**3 + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Suppose 3 - x = -i. Let r be (i\/(-3))\/(6\/9). Is 1 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 48, -2518 in decreasing order.\nAnswer: 48, -66, -2518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30*((-4)\/64)\/((189\/168)\/9)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*l = -1 + 6, -4*l - 33 = -5*u. Let b = -15 + 39. Let c = 1 + b. Calculate the highest common factor of u and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -173, -321, -509?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 8. Let u = 2.13 - -1.87. Which is the second biggest value? (a) j (b) u (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, -35, -2, -28, 0.\nAnswer: -35, -28, -2, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108743953\/774 - 140496. What is the common denominator of d and 23\/1290?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(8\/(504\/(-81)))*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16300773623625682 - -16300773696496438.47000039. Let f = 72870695.47 - z. Let l = f - -61. What is l rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 2*v + 40. Let o = -179 + 169. What is the tens digit of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25151 + -25144. Solve -h = 2*z + 2, 3*h = -r*z + 3*z - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6608*x - 4. Let l be f(-4). Is 2\/(6\/9 - (-17600)\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 6576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 20*c**2 + 40*c + 51. Give u(-18).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 241.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 21?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*a - 8 = -1, -205*a - 485 = 30*z - 210*a for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 20*z**2 - 20*z**2 + (-5*z**4 + z**4 + 5*z**4)*(6*z - 3*z - 4*z).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 t when four letters picked without replacement from jtjjtttjjt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by -28814\nAnswer: 48\/14407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, t: 2, x: 7, h: 2, p: 2}. What is prob of sequence hh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887391?\nAnswer: 3, 43, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12596\/14 - (38\/19)\/(7\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35533103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2626\/8 - (-1 + 6\/24). Suppose w - o = -14. Does 45 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15 + 2*n - n**3 - 13 + 2*n**3 + 3*n**2. Let f be m(-2). Solve 5*j - v = f*j + 17, -36 = -4*j + 4*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3641*z = 3652*z + 22. Which is the fourth smallest value? (a) 12 (b) z (c) 3\/7 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 9*w**2 - 8*w + 12. Give q(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, -73, -0.1, -1.3, -2, 105?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5)\/i*((i\/(i*i**(-10)))\/i)\/i)**(-30)\/((i*i**4*i*i)\/(i*i**(3\/11)))**(19\/3) assuming i is positive.\nAnswer: i**(-2907\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*b + 20, -b - 7 = -3*o + 3. Sort 1, b, -50, -4 in increasing order.\nAnswer: -50, -4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 715 = 5*b, -2*r - 3*b = -7*b - 292. What is the greatest common divisor of 35 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 3*p**2 - 17*p - 43. Determine y(6).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -292 in -2\/3, 3, -5\/4, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 11. Suppose 19*w - 547 - 1353 = s. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/10 (b) -3 (c) 5 (d) 110\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -204?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 10*g - 7. Let k be v(-11). Is k\/18 - 1742\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -14*n. Let x(d) = 943*d**2 + 3. Give x(q(a)).\nAnswer: 184828*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 54, 117, 4 in increasing order.\nAnswer: -4, -1, 4, 54, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -120. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110211210200 (base 3) to base 6.\nAnswer: -44111113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*r = -2*r - 713, -4*j + 574 = 2*r. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1176 + 1180. Solve 4*s = -u - 24, 11*s - 10*s - l*u = 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 0.4 (b) 29 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -135.\nAnswer: 4\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11822057*o**2 - 17032128*o.\nAnswer: 23644114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -15*p + 14. Let n(r) be the second derivative of 0*r**2 + r + 0 - 2\/3*r**p + 1\/6*r**4. Factor n(a).\nAnswer: 2*a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000566492387 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274220*o - 4*o**3 + 274220*o + 165*o**2 - 165*o**2.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 387.1 + -388. Do t and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 11*t**2 + 6*t + 4. What is p(9)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 5, o: 1, n: 4}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/18 + 12\/54. Let a(l) = -l + 2*l + 26 - 40. Give a(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -0.4618689?\nAnswer: -3.5381311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3979 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - f + 1079, 33*y - 5*f - 1049 = 30*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 20 = -8*y. Is 22 a factor of (-6)\/(-2*y\/152)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - 0) + -12 + -22 + 28 + 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-26)\/39 + 124901\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65*j**4 + 6*j**2 + 8*j**2 + 68*j**4)*(-2 - 1 + 6) as o*j**3 + z + w*j + h*j**4 + r*j**2 and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o + 196 = 3*r, -118 = -3*o - 2*r. Let k be (10\/25)\/(-2) + (-6)\/(120\/(-1364)). Let d = k - o. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5138\/559 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.644 + 0.07525638742\nAnswer: -2.56874361258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223210 + -11013020?\nAnswer: -10123210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 3710.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 3*v**2 - 2*v.\nAnswer: -v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64029?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 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: Two letters picked without replacement from {p: 4, h: 2, d: 2, w: 2}. What is prob of picking 1 p and 1 d?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -25*i**4\/8 - 5*i**2 + 10. Let f(q) = q. Calculate w(f(h)).\nAnswer: -75*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-21))\/(-4*(-7)\/(-168)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12.8986438 and 0.13?\nAnswer: 13.0286438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = 742*j - 797*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 35186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 9:08 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*z + 126447, 112177 + 14300 = 3*f + 3*z. Let n = 59151 - f. Let v be n - (-3)\/(3\/3). What is v rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/612 and 2406\/(-288) + 15 - 7?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/4 of a meter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9537, 17033, 24529, 32025, 39521, 47017?\n\"Answer: 7496*q + 2041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkrkkkrkkrkkkkkkkk.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 7*d + 98 = 0. Let v = d - 95. Determine f, given that 3\/4 + 1\/4*f**v - 3\/4*f**2 - 1\/4*f = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**3\/3 + 3*l**2 - 5*l - 6. What is v(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -228 - -459. What is the greatest common divisor of 21 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1dbf8b - -1e?\nAnswer: 1dbfa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -18 + 43 + 2*p**3 + p**3. Let c(d) be the third derivative of -d**5\/60 + 116*d**2. What is c(r(a))?\nAnswer: -81*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, l: 6}. Give prob of picking 2 s.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u. Let w(s) = -1403716*s. Give d(w(y)).\nAnswer: 4211148*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 771 + -759. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 198*p**3 - 4994*p**2 - 4410*p + 9604.\nAnswer: -2*(p - 1)*(p + 2)*(p + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -23*d**3 - 25*d**2\/2 - 23*d + 22. Let s(w) = -23*w**2 - 9*w - 8. Let x(r) = 4*o(r) - 11*s(r). Differentiate x(t) wrt t.\nAnswer: -46*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 11:51 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 2*q + 19)*(0 - 1 + 3).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 156, 163, 174, 189, 208, 231?\n\"Answer: 2*j**2 + j + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3746a9 + -3?\nAnswer: 3746a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + s**2 - 8*s + 9. Let z be j(-8). Let f = z - -1351. Calculate the smallest common multiple of 6 and f.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.600098 + -6.6. Round g to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 7*r**2 - 6*r + 2. Let h(o) = 22*o**3 - o**2 - 34*o + 34. What is the remainder when h(1) is divided by a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2 - 2)*(-2*d + 4*d - d)*(9 - 4 + 6) - 3*d**2 + 5*d**2 - 3*d**2 + (2*d + d - 4*d)*(d - 3*d + 0*d).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 1564 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2639 and 17661.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 2*l - 3*y - 19, 4*y + 12 = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 23*a + 25. Find the common denominator of (a - (-145)\/(-35))*(-32)\/(-6) and -19\/87.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/636502 and 83\/176456?\nAnswer: 17822056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1))\/j)**(-21)\/(j*j**(-1)\/j)**(-4\/13))\/((j**(-3)*j*j*j**(-6))\/(j*j*j**(-1)*j\/j**(1\/8)*j)) assuming j is positive.\nAnswer: j**(3179\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from rgtqnqgtrrrrtgr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-10))\/((-4)\/(-2008)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*v - 17 = 0, 5*p + 39*v = 36*v - 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 34084*s**3 - 204705480*s**2 - 488634506416*s - 335813417000768.\nAnswer: -2*(s + 1124)*(s + 5306)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, q: 6, z: 1, h: 3, m: 2}. Give prob of picking 2 h and 1 z.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19611207682 - 17?\nAnswer: -19611207699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -21, -29, 16, -3, -5 in descending order.\nAnswer: 16, -1, -3, -5, -21, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11c83 (base 15) to base 10\nAnswer: 56823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*r = 345*r - 205*r - 32798 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -472 - -226. Let v = b - -242. Put 6, 3, v in decreasing order.\nAnswer: 6, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Let m be (-8 + -2)\/((-1)\/4). Suppose m = x*n + 13. Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0*r + r - r - 3*r**2 + r**3. Suppose -4*s - 14 = 3*m - 5*m, 3*s = -4*m - 16. Let w = -1 - s. Calculate n(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*16\/(-6). Let s(k) = -2*k + 5. Let p be s(r). Let c(i) = -i - 4. Let v be c(p). Which is smaller: -3\/2 or v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 43 + 50 = 0. Which is the closest to i? (a) 1 (b) 9\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -2\/133, 58\/3, -0.2 in descending order.\nAnswer: 58\/3, 2, 0, -2\/133, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2 + 409*g - 177*g**3 + 1 - 158*g**3 + 525*g**3 wrt g.\nAnswer: 1140*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 949*g - 5 + 993*g to the form j + v*g and give v.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.081 - 0.219. Let a(k) = -k**3 + 11*k**2 - 11*k + 12. Let r(l) = l + 17. Let p be r(-7). Let j be a(p). What is the third smallest value in j, b, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 10. Let j be q(-11). Suppose -4*m = -j - 86. Calculate the highest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98.69 - -98.41. Which is the nearest to 0.2? (a) 0.1 (b) -11 (c) j (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, l: 2}. Give prob of sequence zllz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**2 + 17*c + 17. Let p(n) = -n**2 - n - 1. Let b(d) = 4*d + 4. Let s(r) = b(r) - 4*p(r). What is 13*s(k) - 6*z(k)?\nAnswer: -2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/7, 110\/2483 in ascending order.\nAnswer: 110\/2483, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 a when three letters picked without replacement from {m: 2, k: 2, t: 1, a: 2, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1834545*f**5 - 267306*f?\nAnswer: 36690900*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 200\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23668 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*o**2 - 2\/7*o**3 + 2\/7*o + 0 - 2\/7*o**4 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3036 by 3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31959248 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -219 + 216. Sort 3, -8, n, 4 in ascending order.\nAnswer: -8, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 13*k - 54. Let q be v(19). Find r such that -82*r**5 + 85*r**3 + 19*r**5 + 68*r**5 + 200 + q*r**4 - 180*r - 170*r**2 = 0.\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.9, -1, -142 in ascending order.\nAnswer: -142, -4, -1, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2113198356.06239888 + -2113198191. Let o = -164.9324 + h. Let p = o - 0.13. Round p to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0 = -5. Suppose -3*p - 21 = -0*b - 2*b, 3*p = -5*b. Suppose -q + 2*d - 6 = 7*d, b*q + 8 = -5*d. Sort 2, q, w.\nAnswer: q, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661670 a multiple of 864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25721 and 3.\nAnswer: -77163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**28\/h**(-3))**39 assuming h is positive.\nAnswer: h**1209","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 15521.\nAnswer: -7\/15521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 11*h**2 - 20*h**2 + 7 to o*h + j*h**2 + y and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 20 = -2*o + 3*o, -5*u - 45 = -4*o. Put u, -1, -2, 2 in descending order.\nAnswer: 2, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + d - 27 = -2*y, 5*d = -y + 27. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t - 20. Let l = -29 + 34. Suppose -l*z + 15 = -v - 2*v, -10 = 2*v - 3*z. Put v, 0, t in descending order.\nAnswer: t, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0.052975?\nAnswer: -0.947025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47039789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 109965*c\/2 - 12092301225\/4.\nAnswer: -(c - 109965)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25810 and -0.6533182.\nAnswer: 25809.3466818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26989 is divided by 771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 404050070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*m + 158 = 3*z, -2*z - 2*m = -158. Suppose j + 24 = z. Calculate the remainder when j is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5655045 (base 8) to base 2.\nAnswer: -101110101101000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/4 + 2*c**3\/3 - c**2\/2 + 4*c - 7. Give j(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12315, -12316, -12317, -12318?\n\"Answer: -u - 12314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 508088 by -1.\nAnswer: -508088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2635?\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12817987.\nAnswer: 7, 13, 79, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101444 + -2201204?\nAnswer: -2303203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-833)\/57120*24)\/(28\/(-15))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10*s**2 - 3425*s + 86044. Determine b(-366).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/80 and (-2 + (-63)\/(-18))*83\/(-192).\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 12, -4*u + u - 90*x + 15 = -91*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 41034.\nAnswer: -2\/20517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107051553?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (144\/(-160))\/((-24)\/20). Which is the nearest to 0? (a) n (b) -9 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -589*u**5 - 1019*u**2 wrt u?\nAnswer: -35340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3317 = -5*x + 3818. Is 37 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4667545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:38 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110640659, -110640661, -110640665, -110640671, -110640679, -110640689?\nAnswer: -110640701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((1\/2)\/(-2 + 6\/4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -46227 and -46228 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8467338cm?\nAnswer: 0.000008467338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {s: 5, v: 8, n: 2, w: 1, u: 3}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 0*f**3 - f**3)*(-f + 4*f - 4*f) - 10*f**4 + 9 - 9 + 5*f**4 + 0*f**4 - 2*f**4 + (0*f**3 - 4*f**3 + 3*f**3)*(3*f - 3*f + f).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/24*1)\/(12\/(-8)). Is 12.8 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2207704\/11 or -200699?\nAnswer: -200699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:15 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68 and 1.4.\nAnswer: -95.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202 - 237 - 370*f**2 - 14*f - 238 + 677 to s*f**2 + l*f + b and give s.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 a when three letters picked without replacement from {a: 1, m: 3, q: 1, k: 3, o: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f + 19809 - 17709 = 0. Let r(j) be the first derivative of 140\/3*j**3 - 15 - 5\/12*j**6 - 20*j**4 + 9\/2*j**5 + 40*j - f*j**2. Factor r(l).\nAnswer: -5*(l - 2)**4*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/3, 18, 0.011?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 1, n: 6, i: 1, r: 2, k: 4}. What is prob of sequence rob?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*u - 101, -3*u - u = -3*i - 153. Suppose 42 = 5*b + 2*p - u, 2*b - 2*p = 28. Solve 6*x - 2*x + b = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1877377, -3754732, -5632087, -7509442?\nAnswer: -9386797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdbvbv. What is prob of sequence dbv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {p: 7, z: 4, c: 5}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 484*p - 969. Let c be y(2). Factor 2\/7*l**c - 2\/7*l - 10\/7*l**2 + 10\/7.\nAnswer: 2*(l - 5)*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576818 (base 9) in base 16?\nAnswer: -d6454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 434427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/21)\/(5\/(-3)). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150351 divided by -69\nAnswer: -2179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 9*i**5\/7 + 6798*i**4\/7 - 306963*i**3\/7 - 60516*i**2 + 100812*i\/7 + 30096 = 0.\nAnswer: -798, -1, 2\/3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 230511, 230497, 230459, 230385, 230263, 230081, 229827?\n\"Answer: -2*a**3 + 230513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*c = -2*m + 275650, 4*c - 220512 = -4*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 + 4 = 0, 3*o = -2*t + 82. Let z = -3.89 + -0.11. What is the smallest value in 1\/4, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 - (4 + -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, 71, 100, 129, 158, 187?\n\"Answer: 29*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 118, 357, 804, 1525, 2586, 4053?\nAnswer: 5992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**3 - 15*r**3 - 2*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 142811225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {s: 5, k: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/(-28)*1*2908\/(-7270).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:53 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*o**2 + o - 4*o + 3*o + 183*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*p**2 + 4*p**2 + p**2 + (0*p**2 - 3*p**2 + 2*p**2)*(19 + 38 - 3).\nAnswer: -58*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 5147131691375 + 5147131691375.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7778427 and -53.\nAnswer: 7778374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y - 357 = 483 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -326 - -314. Put 5, w, -4, 2 in decreasing order.\nAnswer: 5, 2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 29 = -10*s. Suppose 20 = 3*i - 5*y, 3*i - 4*y - s = i. Solve -2*j = -5*j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/10130087 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o - o)*(-3*o**3 - o**3 + 2*o**3) + 2*o**4 + 0*o**4 + 0*o**4 - o**4 + 5*o**4 - 5*o**4 + 2*o**4 + 3*o**4 - 6*o**4 - 3*o**4 + 13*o**4 + 25*o**4.\nAnswer: 31*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.1 (c) 1\/6 (d) -2.8 (e) 218 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -777 (base 8) to base 9\nAnswer: -627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k**4\/9 + 1096*k**3\/3 + 52328*k**2\/9 + 72160*k\/3 = 0.\nAnswer: -132, -10, -82\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 7. What are the prime factors of y(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -2 - 0 - 4. Let n be (0 - -3 - 6)*v. Solve -3*j + 5 = -5*t, -2*j + 3*t = -1 - n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 14. Let l be j(-8). Let t = -28 + 28. Suppose z = 2*m + 36, l*m = -t*z + 4*z - 120. What is the highest common divisor of 56 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**2 + 17*g + 15. Give c(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 + -0.15. Let w(s) = -s**2 - 39*s - 223. Let p be w(-32). Suppose 4 + 0 = -2*u. What is the closest to p in f, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2 - 8. Suppose 5 + 34 = d - 2*q, q - 162 = -i*d. What is the remainder when d is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3 + 6\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3476?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160230359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 4623*q - 91667. Give a(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 11*i**2 + 10*i + 13. Calculate t(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*b**3 - 4*b**2 + 72*b**4 - 50*b**3 + 82*b**3 + 2 to y*b**3 + s*b**2 + t*b**4 + a + h*b and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 3:11 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109 - 110*u + 5*u**2 - 6*u**2 - 79*u - 32 wrt u.\nAnswer: -2*u - 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + q + 1. Let x be h(2). Suppose -4*y + x*y - 3 = 0. Sort y, 3, -4.\nAnswer: -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 0, 51065, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 7*f + 5. Let i(y) = -5*y - 6. Let o(m) = 4*m + 5. Let p(k) = f*i(k) + 6*o(k). Let d(s) = -11*s**2. Determine p(d(g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 17 = -4*l + 89, -30 = -3*b + 5*l. Let x be (-3)\/(1\/(4\/6)) - -1. Let p be (11 - -4)\/3 - 235\/x. What is the highest common factor of b and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 8:09 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/5)\/z**(-8))\/(z\/(z**1\/z))**(-3\/17))\/((z**2*z\/z**(-1\/7)*z)\/(z\/(z**2\/z))**(-9)) assuming z is positive.\nAnswer: z**(2281\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 193448 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 510083.1497 to the nearest one thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21556, -86027, -193410, -343705, -536912?\nAnswer: -773031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 24 = -5*t. Let h be t\/(-15)*(-16 - -13). Sort h, -3, 2, 4 in descending order.\nAnswer: 4, h, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 3. Let n be q(-3). Let g(v) = -v**2 - 10*v + 9. Let l be g(n). Calculate the greatest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34842191 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -113 (b) 16 (c) 6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**3 + 6*q**2 - 8*q + 3. Let v be u(3). Let d be (-1432)\/(-34) + 4\/(-34). What is the highest common divisor of d and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14096.17 hours in microseconds?\nAnswer: 50746212000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**5\/9 + 2*m**4\/9 + 10*m**3\/9 + 2*m**2\/3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*z + 6*z - 6*z + z - z - 2*z + (0 + 3 - 2)*(0 + z + 0) + 3*z + 0*z - 2*z + z + z - 3*z - 7*z + 3*z - z - 5*z + 4*z - 3*z to t*z + x and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*s**3*z**3 - 879*s**3 - 10*s**2*z**3 - 157*s*z**2 + 3*s*z - 2*z wrt z.\nAnswer: -66*s**3*z - 60*s**2*z - 314*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436 - 278. Suppose 0 = -3*l + 616 + h. What is the derivative of -19*s**2 + 2*s**2 + l - 235 wrt s?\nAnswer: -34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187.8724 - 1.6124. Round z to the nearest integer.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ede when three letters picked without replacement from dddddddeedoddd.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5980000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5}. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 22 - 57. Let a be (-107)\/(-4) - (-5)\/20. Suppose -5*y = -a - 38. Calculate the remainder when y is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2171911 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.20618024 rounded to 2 decimal places?\nAnswer: -13.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 300 or 289?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12008106*j**4 - 12*j + 229853315 with respect to j.\nAnswer: 48032424*j**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9236 - 2202. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 18. What is the remainder when 42 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1eac3 (base 15) in base 5?\nAnswer: 11202213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 60. Let v be (160\/6)\/(-8) + (j - 3). Which is the third biggest value? (a) 2\/7 (b) -0.2 (c) -1\/4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - -11591.\nAnswer: 11528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*b + 83382 - 83161 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:15 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61, -61, 17, 215, 575?\n\"Answer: 7*r**3 - 3*r**2 - 40*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbssbbsbsbbs. Give prob of sequence bb.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1937 + -1929. Solve 2*a = 4*a + 3*i - 4, -t = -2*a - i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12801.6t to kilograms.\nAnswer: 12801600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:17 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 704308884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101 - -100100?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335 + 3526919?\nAnswer: 3528254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/(-644)*208\/(-42))\/((-30)\/(-105))?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 643492674.68 + -31\nAnswer: 643492643.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -94455.05 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296576?\nAnswer: 2, 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/99 + 4655\/198. Find the common denominator of f and -3\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 4*g**3 - 81*g**2 - g**3 - 111*g**2 + 190*g**2.\nAnswer: -4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -10 + (2 - 3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 2 - -1) + 789\/263.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fdb32 (base 16) to base 10.\nAnswer: -1039154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 3 + 3*r**2 - 14 + 8. Suppose -2*o + 28 = 2*o. Suppose -3*h = 3*j - 3, -5*j + o = 2*h + h. Calculate v(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198 + 296. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3366 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116553, 61, 0, 9 in descending order.\nAnswer: 116553, 61, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(363))*2)**2 - (sqrt(363) + 2 + 3).\nAnswer: -99*sqrt(3) + 1451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 68 = 28. Suppose z = -4*z + y. Calculate the greatest common divisor of 64 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001529 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/sqrt(4)*-4 - sqrt(80)\/sqrt(160).\nAnswer: -17*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1463483554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 5. Give n(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*i + 8*z - 4*z + 296, 22751 - 22745 = -3*z for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272*m**3*v**2 + 588*m**3 - 100*m*v - 2*m + 56*v**2 - v + 7 wrt m?\nAnswer: -1632*m*v**2 + 3528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s - 872 + 877 - 6*s in the form n*s + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -956?\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.496728 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8381302 rounded to three decimal places?\nAnswer: -1.838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109109, 109105, 109111, 109133, 109177, 109249?\nAnswer: 109355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**2 - 14*p. Let z(a) = -6*a**2 - 17*a. Determine 6*d(r) - 5*z(r).\nAnswer: -6*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {w: 7, m: 5, e: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*h + 60. Factor 4*r**2 + 2*r**2 - 27*r + 8*r + h*r - r**3.\nAnswer: -r*(r - 4)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/36)\/(696\/(-48) + 14) - 29\/(-18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 13*w + 14. Let t be u(-14). Suppose 3*q - 6 - 3 = t. Let z(k) = 2*k**2 - k - 2. Give z(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) - 30\/(-8). Let y = -90 + 28. Is (y\/w)\/(3\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0 in ascending order.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 847389 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74, -46, -18, 10, 38?\n\"Answer: 28*w - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45205444 (base 6) in base 7?\nAnswer: -14433445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 0*g + 6*g)*(-g**2 + 4 - 4)*(-2*g + 4*g - 4*g)*(2 - 3 + 2) to x*g + p*g**3 + w*g**2 + o + t*g**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 184 + 53 = -195 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31903 (base 10) in base 9?\nAnswer: -47677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/(-256)*-8*-5474. Is x less than -8210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -269 and -118426787.\nAnswer: -118427056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/20 - 11*o**4\/12 + 9*o**3\/2 + o**2 - 5*o + 887. What is j(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 6160*f - 12317*f + 6151*f + 11.\nAnswer: -6*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 8*t + 156. Let w be s(-17). Solve -w*d + z = 7, 3*d - z + 6*z = -37 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2518 + 27*n - 2518 + (n - 2*n + 2*n)*(2 + 2 - 6) as r + c*n and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -25.4?\nAnswer: 1.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 250\/90 - 3 - (-114)\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, 0, 1\/3, -3 in decreasing order.\nAnswer: 1\/3, 0, -3, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -16. Let g = 6 + r. Let y = 0.07 + -0.07. Put 1\/2, g, y in increasing order.\nAnswer: g, y, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9028509 divided by -40\nAnswer: -9028509\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 divided by -7?\nAnswer: -292\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkkkukkkpkkupukkku. Give prob of picking 1 u and 1 p.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 691 = -3*c + 314, -3*c + 801 = 4*v. Suppose 4*w - v = -l, 3*l = -l. Let r = w - -5. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17184*d - 5 + 5 + 16476*d)*(-4*d + 3*d + 3*d)*(5*d - 15*d + 5*d - 1).\nAnswer: 7080*d**3 + 1416*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v**2 - 642853 + 11*v**4 + 642853 - 10*v**3)*(-2 + 1 + 0)*(-1 + 1 - 2).\nAnswer: 22*v**4 - 20*v**3 - 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232629.\nAnswer: 3, 77543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/22 - (-6)\/33. Let d(u) = -2*u**2 - 9*u + 2*u**2 + 3*u**k + 11 - 2*u**2. List the prime factors of d(10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3147737047 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 254053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1078 + -0.1605. Round w to 3 decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.3 and -0.4246.\nAnswer: -2.25038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 10. Let t(r) = -r**2 + r + 6. Let a be t(-3). Let o be c(a). Solve -4*d**2 - 3*d**2 - 4 + o*d + 2*d**2 + d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 6. Let w be y(16). Suppose -w*k = -5*k - 10. Let i = 2\/285 + -32\/285. Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 37523 - 37192 = -2*r, 0 = 3*o + 3*r + 204 for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -35, -86, -147, -212, -275, -330, -371?\n\"Answer: c**3 - 14*c**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151 and 27331?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 0*d**2 - d**2)*(13*d**2 - 3*d**2 + d**2 + (d - 3*d + 3*d)*(2*d + 0*d + 0*d) + 4*d - d**2 - 4*d) - 1 - 2*d**4 + 1.\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 0.1\nAnswer: -20.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*a**2 + 66*a**2 + 18 + 65*a**2 with respect to a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -256, 4, -1, 7, 2 in decreasing order.\nAnswer: 7, 4, 2, 1, -1, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -12\/11, -1\/9, -3, 4\/3, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 45474006 = -5*b, 6*b + 9094809 = 7*b + 3*c. Let r be (30\/(-2))\/((-99)\/b). What is r rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 54*p**2 + 52*p**2 - 104*p**2 - 17. Let x(g) = 4*g**2. Determine b(x(a)).\nAnswer: 32*a**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 11. Let j(w) be the first derivative of -197519*w**3\/3 + 19*w**2\/2 + 8*w - 459. Let q be j(v). Round q to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(119)*1)\/(-3*sqrt(700) + sqrt(7)))**2.\nAnswer: 153\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 410.\nAnswer: -9\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 4*y - 104, -399 = -4*r - y. Suppose -6*a + a + r = 0. Let x(c) = -c**3 - 5*c**2 + 5*c - 3. Let n be x(-6). Solve a = f + n*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 - 3122756.55.\nAnswer: -3122782.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2078360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 11*w + 4*w + 5*w + 5*n + 40 = 0, 13*w = 70*w - 4*n - 85 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Suppose 0 = l*j + f + 17, -4*j = j + 4*f + 13. Let p = 1.6 + 0.4. What is the second biggest value in p, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i - 38. Let b be o(-8). Let u(t) = -2*t + 20. Let h be u(b). Solve -4*d = v + 18, -2*d + h*d = -4*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g**3 + 6*g**3 + 10*g**3)*(3*g + g - 2*g).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -363 + 365. Let r(v) = -5 + 1096*v**2 + 5 - 1093*v**n. Let u(s) = 0*s**2 + 2*s**2 - 3*s**2. Determine u(r(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + -2 + (-156)\/(-6). Suppose 0 = -z - 3*n - 6, -19*z = -17*z + 4*n + 2. What is the highest common divisor of j and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let b(u) = -4*u - 1. Let v(x) = -2*x + 51. Let p be v(20). Calculate p*r(m) - 2*b(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 2, -5, -81697 in decreasing order.\nAnswer: 2, 1, -3, -5, -81697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2. Let o(d) be the second derivative of 0*d**3 + 0 - 1\/8*d**4 - d**2 - 5*d. Let x(l) be the first derivative of o(l). Calculate x(t(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 117*i + 354. Let k be z(114). Solve -7 - 6 = 3*p - 2*c, 3*c - k = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2321833.\nAnswer: 173, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-30)\/(-6) - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhvrvvrvrtxggxh. Give prob of picking 1 t and 2 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*s + 3204 - 3257, 2*s + 2*b - 14 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37269 is divided by 9306?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(363))**2 + sqrt(363) + 4 + sqrt(363)*1 - 1*((sqrt(363)*1 + -4)**2 + 2).\nAnswer: 7 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70043 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l. Let s(o) = -24*o**2 - 49*o. Determine s(n(p)).\nAnswer: -1536*p**2 - 392*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -78545505 and 0.5.\nAnswer: -78545504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-12)*n\/(n\/(n\/n**(-6)*n)) assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*t + 4 + 4*t + 2*t to the form r + w*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -3*v + 3*h, -3*v + 4*h = -140 - 145. What are the prime factors of v?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 11*a**2 - 11*a - 6. Let d be v(-10). Suppose 0 = -4*z - 4*h - 27 + 3, -d*z = -5*h + 6. Let i(t) = -5*t**3 - 5*t + 1. Is i(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9590 = 819*c - 1473*c + 791*c for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48.5 + 47. Let m = -13.5 - t. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:56 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10441441 - -1?\nAnswer: -10441440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {b: 4, l: 2, i: 2, o: 1, s: 8, u: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 2*l + 4. Let o = -11 - -12. Suppose 1 = 4*u + d + 4, -u = 4*d + 12. Let w(z) = -z + 0 + 0 + u + o. Determine -p(m) + 3*w(m).\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4649, -9, -2 in ascending order.\nAnswer: -9, -5, -2, 4649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304716562?\nAnswer: 2, 367, 1777543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0*s + 2\/3*s**3 + 0*s**4 + 37*s**2 - 1\/12*s**5 + 0. Differentiate i(d) with respect to d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - j - 1 = 1, 2*j - 599 + 295 = -292 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 14*h + 4*h - 2082*h**2.\nAnswer: -2082*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2373 + -2373. Let m be -4 + (r - 2) + (-234)\/(-27). Factor -4*n**2 + 8\/3*n - 2\/3*n**4 - 2\/3 + m*n**3.\nAnswer: -2*(n - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*v - 25, 4*v - 7 = -y + 28. Let n(p) = p**3 + 1. Let b be n(1). Suppose -b*t - 90 = -3*t. What is the greatest common divisor of v and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 5. Let b be v(-5). Let r be (b - 2)*(-4 + 3). Suppose 4*j - 25 = -j. Solve 3*g + 7 = r*h, 2*g + 1 = 2*h - j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o - 137*o + 6670 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 2, h: 2, g: 1, j: 1}. Give prob of sequence guj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 101 - 111. What is the third derivative of -q*z**5 + 1 + 12*z**5 - 3 + 7*z**2 + 29*z**5 wrt z?\nAnswer: 2160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 m when four letters picked without replacement from mymymymyymmyyyyymmm?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {p: 1, z: 1, t: 1, m: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.8029 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*p - 70*p + 3*s = -s - 6, -5*p = -s - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -598\nAnswer: -5\/598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/2 + (-1)\/(-2). Let x = b - 8. Let a(g) = 0*g - 1 - x*g**2 - 3*g**2 + 2*g. Determine a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (360\/(-8))\/(1*-1). Let g be j\/(-15) + 3 + -1. Let v be (-17998)\/(-1) - g\/((-4)\/(-8)). What is v rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -991\/847 + -14\/121. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 115 - 280 = 0. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o + 10 = 0. Let z(l) = l - 2. Let j(c) be the first derivative of -c**2\/2 + 3*c - 1. What is o*j(k) - 3*z(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -737 + 733. Which is the nearest to g? (a) -1 (b) 1 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 449*k**2 - 11*k + 1. List the prime factors of d(1).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 + 234 = 6*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**2 + v + 1. Let x(o) = -27*o**2 - 66*o + 2. What is 4*p(b) - x(b)?\nAnswer: -9*b**2 + 70*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 779145 + -10729145. Round f to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -27. What is the derivative of -15*z**3 - 61 - i + 29 - 18*z**3 wrt z?\nAnswer: -99*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-2 - 1)*(-21 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269800*m**3 - 8*m**2*o**2 + 2*m*o - m - 8*o**2 - 75*o - 13 wrt m.\nAnswer: 1618800*m - 16*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 226358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2006966us?\nAnswer: 200.6966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = -31*v. Suppose 53 = 2*z - 5*n, v = 4*z + 4*n - n - 93. Solve -z = -4*h - 2*a, 2*h - 4*h + 2*a + 6 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*g - 7193 = 147*g + 2795 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3)*(-69)\/9. Suppose 4*j - 88 = -5*l, -l = j - p + 2. Suppose -j + 5 = -q. Solve 5*t = 5*a - 20, 4*a = 2*a - 2*t - q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -658 = -5*g - 628. Suppose -5*r = g*y - y - 50, 4*r = 4. Put y, 2, 3, -2 in increasing order.\nAnswer: -2, 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 6, -24 in ascending order.\nAnswer: -24, -5, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = d - 5*n, 4*d - 4 + 5 = 3*n. Let k = d - 1. Which is the second smallest value? (a) -3 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5117 and 18419695.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 3*z + 2. Let a be l(5). Suppose i + 150 = -4*i. Let s = a + i. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 896 divided by -112.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 765*v**4 + 1680*v**4 - 277 + 50*v**4 + 1967 + 61 wrt v?\nAnswer: 9980*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376530?\nAnswer: 2, 5, 137653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 56, 5 in descending order.\nAnswer: 56, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 9*w + 9. Let k be x(-9). Suppose k*d - 946 - 1313 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 26*p + 3274. Calculate the smallest common multiple of 20 and i(0).\nAnswer: 32740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) + 0)*1)**2 + 0 + 2*sqrt(11).\nAnswer: 2*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - c + (-14 - 8 + 0)*(0*c + 2*c + 0*c)*(-3 + 1 + 4).\nAnswer: -89*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -938927, -938928, -938929?\n\"Answer: -p - 938926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 40*q - 164 - 220 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - p**2 - p - 2. Let a(h) = 315*h**3 + 4*h**2 + 4*h + 8. What is -a(u) - 4*n(u)?\nAnswer: -307*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**2\/i*i)\/i**(-1\/5))\/((i*i**(1\/11)*i*i*i)\/i**(-7)))**(-2\/17) assuming i is positive.\nAnswer: i**(978\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15730673 (base 9) in base 15?\nAnswer: a57e6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 15 = 8*p. List the prime factors of -1 + p\/(-9) - 1696\/(-12).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 7*z - 74. What is the remainder when 41 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1\/(-6)*2). Let w(b) = -b**3 - 3*b**2 - 2*b - 2. Let s be w(z). Suppose s*g = g - 34200. What is g rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*a = 2*a + 25, -3*a - 133 = -4*d. Suppose -2*z = -7*z - x + d, 3*z + x = 19. Let o(g) = g - 3. What is the units digit of o(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 9:01 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469616*s - 3*s**3 - 469616*s + 9*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -33, 3, -87 in descending order.\nAnswer: 3, 2, -33, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h**2. Let q(k) = 40*k. What is q(b(m))?\nAnswer: 440*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -1*(-1 + (5 - 29)) and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55737 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23 times -163.8037\nAnswer: -3767.4851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-2)*84)\/1. Let f = 247 + -19. Suppose -f = -6*l - 102. What is the highest common factor of l and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -397*t - 3. Let s be r(-2). Let y = 1329 - 143. Let w = y - s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:18 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkbbbkbqpbbqmkbmbb. Give prob of picking 1 b and 1 k.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30533 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hththtz. What is prob of sequence tt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2. Let j(s) = 17 + 52*s + 62*s - 126*s - 18. Calculate j(i(c)).\nAnswer: -60*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1764 - -2562. Calculate the highest common factor of s and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/42)\/((-40)\/144)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 - 3*h**3 + 8*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 2*x + 30, -s + 2*x = 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 185. Let d(x) = 21*x**3 - 3*x**2 - x + 2. Is 5 a factor of d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 843 divided by -4.\nAnswer: -843\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-3)\/21)\/((-429)\/(-66)))\/(26\/(-546)))\/(-3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-1))\/(1\/(-4)*54)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4 - s**3 + 95*s**2 - 6 + 2*s**3 + 0*s**3 - 102*s**2 - 15*s. Let l(b) = -b**3 - 3*b**2 - 3*b + 1. Let i be l(-3). What is the units digit of c(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1781688800 to the nearest 100000.\nAnswer: 1781700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -28*(-8)\/((-96)\/(-9)). What is the hundreds digit of (-13)\/(-91)*s - -167*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -440 by -19941.\nAnswer: 440\/19941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 2*i - 13 + 17, -4*i - c = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*h - 3, 0 = 2*h + l - 0 - 10. Let n = 2 + -1. Let a be n*4\/2 - 2. Put h, -1, a in decreasing order.\nAnswer: h, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*g. Let w = 8 - -12. Suppose c + 64 = 3*s, -s = -g*c - c - w. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220\/12987 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 116. Calculate the remainder when p is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12649.7 and 0.3?\nAnswer: 12649.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27166 and 752?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, 98, 328, 674?\n\"Answer: 58*g**2 - 60*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2713162.\nAnswer: 2, 19, 71399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n. Suppose -4*k = -n*k - 68. Is k + (-2)\/(-4)*-6 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 + 66 - 19) + (22 - 1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3668, -1215, 1238?\nAnswer: 3691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 1798.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(4*(sqrt(304) + (sqrt(304) - (sqrt(304)*-2 + sqrt(304))) + -4)**2 - (-5 + sqrt(304) + 1 + -2)**2).\nAnswer: -6048*sqrt(19) + 192024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134012 + -4?\nAnswer: 134004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4180, 8020, 11524, 14692, 17524, 20020, 22180?\nAnswer: 24004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-5)*30\/4. Suppose -8*z = -57 + 49. Is z <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*a - 32. Suppose -a*o = -4*f - 330, -2*o + 6*o + 2*f = 238. Suppose 5*p + 3*r = 196, -4*p + 222 = 4*r + o. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/9))**(-11) assuming g is positive.\nAnswer: g**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1.5, -3\/5, 13, 0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (-1 - -1) - (149 + -128). Let t be (-2)\/i - 880\/(-2400). Are t and -333 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.3 (c) -1.8 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 3 + -7 + 3. Let i be 2\/(-5) + (-92)\/20. Sort 5, n, i.\nAnswer: i, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408647295 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1, 3, 0.5, 0.31 in ascending order.\nAnswer: -1, 2\/7, 0.31, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 12:16 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 - 172*h + 247. Determine i(-36).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8670.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24110 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 9:25 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {u: 1, n: 1, d: 6, h: 3, m: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*w**2 - 7 + 317*w**2 + 10*w**2 + 188 + 5*w**2.\nAnswer: -10*w**2 + 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Suppose -4*p + 2*b - 7 = -9*p, -3*p = b - 5. Suppose -p*a + 7 = -g. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187689753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.8 + -25. Let n = f + 3.4. Which is the smallest value? (a) -0.5 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/24 + (-4)\/(-24). Is z greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90703267537965 + 0.05?\nAnswer: -90703267537964.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -61*o + 3850. Let c be i(63). Solve c*q + 786 - 793 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -462, -472, -578, -810, -1198, -1772, -2562?\nAnswer: -3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, -6, -13, -22?\n\"Answer: -y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.7837km to centimeters.\nAnswer: 1078370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/5610)\/(4\/40*2)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + v**3 + 8*v**2 - 15 + 3*v + 12*v**2 + 2 as j + s*v**2 + k*v + y*v**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - j**2 + 1 + (3 - 2 - 2 + (2 - 1 + 2)*(1 + 0 - 3) + 0 + 1 + 0)*(3*j - 2*j**2 - 3*j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 550844 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8.6, 7\/41, 2\/23?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 699318383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 0*f - 10 = -4*a, 0 = -3*f - 3*a + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let i be ((-28)\/21 - -4)*(176\/192 - 1). What is the closest to m in i, 0, -1\/4, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 y when four letters picked without replacement from {y: 4, p: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -5875425?\nAnswer: 587542b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/25079 + 2833915\/300948. Find the common denominator of z and -35\/668.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:41 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12216313718 + 446677294971085\/36564. Let n = a + 1\/3324. What is the common denominator of 37 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5360192 is divided by 2107.\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + s + 2 = -7, 2*b + 6 = -4*s. Suppose -g + 41 = 2*z, -5*z = b + 15. Let f = g + -47. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -43555\/5269?\nAnswer: -43555\/5269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -37*j - 267. Calculate the remainder when o(-14) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 5. Let t be n(4). Let o(j) = -48*j**3 + j**2 - j. Let v be o(t). What is the least common multiple of 8 and v\/15*-5*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -529*a**6\/45 + 23*a**5\/5 - 3*a**4\/4 + 7*a**3\/6 - a**2 - 31*a. Let o(y) be the second derivative of s(y). Factor o(v).\nAnswer: -2*(46*v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -38*l - 7. Let i be o(3). Let r = 1439 + -1436. Which is the fourth biggest value? (a) i (b) r (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236556267 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1e2 (base 16) to base 11\nAnswer: -3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -422 - -471. What is the remainder when 1664 is divided by v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2162.552 - -0.152. Round h to the nearest 10.\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 39 (b) -1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010615096 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*p - 3641 = -1217 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242 - -217. Find the common denominator of 51\/16 and 12*(-27 - h)\/(1*4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 p when three letters picked without replacement from {b: 3, p: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 77 + -3c855?\nAnswer: -3c7cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000159725556 to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 - 4. Let o = -1.89 - 0.11. Let g(f) = -f**2 - 2032*f - 4. Let s be g(0). What is the smallest value in t, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m - 2*v - 5, 0 = -v. Let c = 8 + -6. Let b = c - m. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1428*s + 8127. What is the remainder when o(-4) is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5953756.\nAnswer: 2, 79, 83, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 257*i + 16434. Calculate p(137).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 82 (b) 1 (c) -395 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -2019d?\nAnswer: -2019d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 - 7*h + 13. Let z be (-1 - -3) + -3 + 4 + 0. Calculate the remainder when c(z) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/((-162)\/(-270)*(-69)\/138)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32613.2 and -0.5.\nAnswer: -16306.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*m + 33, 3*m = -2*m + 5*r + 60. Solve m = -q - 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2386355 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (40*(-25)\/600)\/((-1)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.77 + 0.23. Let v = p + -2. Let d = -59 + 62. Which is the closest to 1? (a) 4 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -68 + 0*f**3 + 67 + 4*f**2 + f**3. Let j be c(-2). Solve -3*l = -4 + j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-138 + 171)*2*(-38)\/(-6). Is x greater than or equal to 417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 3\/((-85)\/(-10) + -7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -229056627 to the nearest ten thousand.\nAnswer: -229060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.55 (b) 1\/6 (c) -1 (d) 0.14 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, -40, 4\/5, 5, 95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + -1*(-4 + 1*sqrt(2299)*4*-6))**2 + -2).\nAnswer: 4752*sqrt(19) + 3972693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 92 - 23 = 0. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4133 + 471151\/114. Calculate the common denominator of c and (204280\/17940 - 6\/(-78)) + -11.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let y(k) = 30139*k. What is y(u(m))?\nAnswer: -30139*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*p - 56 = 130. Suppose 4*s + 32 = 5*m - 0, -3*m - 3*s = -3. Let z be 2\/m*(-6)\/(-4). What is the third smallest value in p, -5, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 1189.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juuu when four letters picked without replacement from {j: 7, s: 2, u: 3, c: 5}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013872457 to the power of 1\/2, to the nearest integer?\nAnswer: 31841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244631882 less than 1244631882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-64)*14*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*t**3 - 5282*t**2 + 630784*t - 23004520.\nAnswer: 2*(t - 154)**2*(7*t - 485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -375582*r**3 - 261970 wrt r?\nAnswer: -1126746*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*m - 5*o - 35, 5*m = -4*o + 83. Let c(a) = 5 + 2*a + 0 + a - 2*a. Let b be c(0). What is the highest common divisor of b and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -1973, -6642, -15737, -30734, -53109?\nAnswer: -84338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 24805 - y**3 - 24803 - 11*y**4 - 2*y + 3*y to z*y**4 + o + l*y + d*y**3 + a*y**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-2)\/((-178)\/3)). Let b = 36 + -183. Let u = b - n. What is the closest to -1 in u, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Let d = 2.3 - 7.3. Sort d, 0.2, m in descending order.\nAnswer: m, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.416314 millennia?\nAnswer: 416.314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 56. Suppose -5*v + 5*r = r + c, -15 = -4*v - 3*r. Suppose 4*n - 8 = -v. Solve 2*x = x - n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let n(g) = -4*g - 3. Suppose -5*x - t - 47 = -0*t, -5*t + 35 = -5*x. Let l = x - -15. Calculate l*j(r) + n(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3089 in -1, 6, 0.08, -1\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/(27\/36*(-60)\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11122003 + -111?\nAnswer: -11122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h**2 + 2*h - 300 - 4*h + 12*h**2 + 2*h**4 + 7*h in the form u*h + x*h**4 + l + p*h**3 + b*h**2 and give l.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -18531272 in decreasing order.\nAnswer: -1, -2, -18531272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14546107 to the power of 1\/2, to the nearest integer?\nAnswer: 3814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 - 5*v + 2. What is l(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 13*p + 38. Let u be x(-9). Let s be 40\/12*3\/2. Suppose s*q + 13 = 48. Solve -u + q = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-1))\/((-2)\/(-38)) - 4. Suppose -i = -0*r - 15*r. Let v be (r - 35\/14)*(-16)\/6. Solve -3*w - 5 = v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/8)\/(-1) + (-15)\/10. Let w(l) = -4*l + 3. What is w(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(539) + -2 + sqrt(539))**2 + sqrt(539).\nAnswer: -161*sqrt(11) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371029 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(68) - sqrt(17)) + 5 + 1)*1.\nAnswer: sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7420a (base 11) in base 9?\nAnswer: -174210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 15)*1058\/(-6)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*b + 129, -k + 5533950 - 5533779 = 4*b for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2\/((38\/(-18) - -2)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 695276504 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-707)\/101*(21\/3)\/42?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43600 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-28)*z*z**(-17))\/(z**18)**21 assuming z is positive.\nAnswer: z**(-422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 8*x - 2. Let m be j(7). Suppose 5*r - 16 = -n, m*n - 2*r - 52 = r. Suppose 3*t - 24 = -6. What is the least common multiple of n and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 + 246 = -y. Suppose 3*z = 5*z + 4, -5*q - y*z = 3. What is the lowest common multiple of q and (-16 - 5)*2\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*f + 1218891, f - 4*f = -4*r - 975102. Let a = -123777 - r. What is a rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55.777 - -56. What is v rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.871 - 615.18012179.\nAnswer: -614.30912179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21489, -42941, -64373, -85785, -107177?\n\"Answer: 10*b**2 - 21482*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13110 and 32982?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73a5 - 29?\nAnswer: -7412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + -11 + 4 + 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3) + 6 + 6 + -1. Let v be (-24)\/156 - ((-1824)\/w)\/2. Calculate the greatest common divisor of 105 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 8 + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -6)\/(1\/31) + -3 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 + 0*c**2 + 2*c**2 - 16*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 51*c + 7*c - 35 + 2 to z + i*c and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009782 to six dps.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -190, -301, -412, -523, -634?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*w - 1055*w - 63990 = -10722 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 3*d**2 - 5*d - 5. Let v be 60\/(-14) + (-14)\/(-49). Is l(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/4 of a century?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 + 35*g + 26. Let m(v) = v**2 + 12*v + 9. Let l(k) = 2*a(k) - 7*m(k). Let w be l(-13). Suppose -w*z - 3 = -5*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 n when four letters picked without replacement from qeqeqeqeqnnqn?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 867165201 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -2, -17, -52, -113, -206?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1983 - 991 - 992 - 6*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3327 - 2663 + w + 479 + 1310.\nAnswer: w - 4201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**8\/4200 - b**7\/1050 - b**6\/300 + 2*b**3\/3 + 5. Let h(m) be the third derivative of q(m). Find k, given that h(k) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809710 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.4, 2, -1\/47, -1, 194\/3 in ascending order.\nAnswer: -1, -1\/47, 1\/4, 0.4, 2, 194\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 5) to base 14\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 1 + (sqrt(128) + -3 - sqrt(128)) + sqrt(128) + 6*sqrt(128)*2 + (sqrt(1296)*-1)\/(sqrt(32)*1) + -4)**2.\nAnswer: -1290*sqrt(2) + 46297\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -1, 4, 3, -99, -49, 0 in increasing order.\nAnswer: -201, -99, -49, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.042 - 2.958. What is the closest to -2 in r, -0.4, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10580 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 8) to base 4\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*k - 4*v, 5*k + 9*v - 70 = 18*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 115049 divided by 853\nAnswer: 115049\/853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -63*c**2 + 2*c + 2. Let b be o(-1). Suppose 2*q - 32 = 9*n - 18, -2*q = -4*n - 14. Put b, n, -1, 3 in descending order.\nAnswer: 3, n, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**7\/140 - 39*u**6\/80 - 169*u**5\/40 - 129*u**4\/16 - u**2 + 1536*u. Determine n, given that j(n) = 0.\nAnswer: -3, -1, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2678*v - 18807. Determine z(-7).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -794553*p*u**2 - 7*p*u - 102008632*u**2 wrt p.\nAnswer: -794553*u**2 - 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1\/190, 138 in descending order.\nAnswer: 138, 32, -1\/190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -358, -5.\nAnswer: -358, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*f - 283, -5*d + 8*d = 3. Let y = f - -202. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 856 = 352. List the prime factors of q.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -u - 12, 5*u + 0 - 10 = -5*o. Let i(h) = h**3 - 3*h**2 - 11*h - 7. Let r be i(5). Let a = o + r. Round a to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -2*f - 7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -1\/90*f**5 + 0*f + 1\/8*f**4 - 2\/9*f**3 + 0 - 6*f**2. Factor v(j).\nAnswer: -(j - 4)*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (446 - 4)*46\/10 - 144\/720.\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 1890 = -1914 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3503*x - 3507*x = -8*n + 4, 3*x - 17 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/319833 and 151\/66.\nAnswer: 7036326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3855)\/10)\/((-3)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 16 = 4*d + 18*x, 4*d - 20 = 5*x. Solve 4*i + d*u - 2 = 2*u, -4*i = -3*u - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -8 + 78 + (-20 - (-8 - 4)) + -6.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l + 3*l - 6*l + (2*l + 4 - 4)*(1 - 4 + 2) - 4*l + 0*l + 2*l + l - 4*l + 4*l + (-l + 0*l - 2*l)*(3 + 1 - 2) to s + m*l and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*k + 38. Let v be -5*((99\/15 - 4) + k). Solve 3*s = -4*r + v*s + 1, 0 = 5*r - 4*s + 25 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 20. What is the greatest common factor of v and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2578 divide 120500610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5306436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 231+19\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -34*r**2 + 50*r - 91. Calculate u(2).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -279, -153, 49, 327, 681?\n\"Answer: 38*j**2 + 12*j - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = -4. Suppose w*o - 7 = 17. What is the second derivative of 2*c**4 - o*c + c + 3*c wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*z - 1397 = -76*z + 1723 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-12)*(-744)\/1953.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3581\/194 + -4\/97. Find the common denominator of 71\/9 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -62. Solve 5*g = -3*k - a, 0*k - k = -2*g - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 390752*n**2 + 8594768*n - 15626560.\nAnswer: 4*(n - 97666)*(n - 20)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -143, -185, -247, -323, -407, -493, -575, -647?\n\"Answer: m**3 - 16*m**2 - m - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttththhththttttt. What is prob of sequence ttth?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = -5*t - d, 2*t - 2 = 5*d. Let w = 102 + 214. Calculate the remainder when w is divided by ((-53)\/3)\/(t\/(-3)).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123.69 + -123.7. Let g = 0.04 + 0.24. Let z = g - v. Round z to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 j when four letters picked without replacement from iljiliijljfifjf.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9644, -9602, -9560, -9518, -9476?\n\"Answer: 42*l - 9686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*n*p**2*v**2 + 3*n*z + 9*p**2*v**2*z - p**2*v**2 - p*v**2*z wrt z?\nAnswer: 3*n + 9*p**2*v**2 - p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1, -69, -0.0835?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/10 - (-10)\/25. Let i = 6 + w. Solve 2*o + 6 = o - i*l, -2*o - 2 = 5*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*c - 110. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -1\/5 (b) -309 (c) 0.03 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 3*v**2 - 8*v + 6*v)*(v**2 - v + v).\nAnswer: -3*v**4 - 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 414*m - 1. Let t(v) = 4*v. Determine q(t(f)).\nAnswer: 1656*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250185\/25336 - 1\/3167. Calculate the common denominator of u and -43\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w + 133. Let j(n) = 4*n**2 - 11*n - 4. Let x be j(2). Calculate the remainder when t(x) is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 24 - (-157 - -127)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 2 + 2 + (-7*w + 14 - 14)*((-2 - 3 + 4)*(2 + 1 - 2) - 3 + 2 - 1).\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 4)*2 - (-2 + sqrt(468)).\nAnswer: -4*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 77 (b) 0 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.1. Let o = -0.1 + -1.7. Let b = o + m. What is the third biggest value in 1\/3, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01226 * -17106.\nAnswer: -209.71956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i**2 + 3*i)*(0*i - 2*i + 4*i) + (4 + 0 - 5)*(2*i + i - 5*i + 2 - 2 - i + (-6 + 2 + 2)*(-9*i + 21*i - 2*i))*(2*i**2 - 3*i**2 + 3*i**2).\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -1 + 7*x**2 - 10 - 3*x**2. Let z(d) = -2*d**2. Calculate z(c(t)).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one halves of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {u: 4, r: 1, p: 5, f: 1, i: 3, a: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 7. Let a be p\/(-8) - 177\/(-12). Let j = 42 + a. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 3*r**2 + 3*r. Let i = -688 + 682. Let s(p) = p**3 - p**2 - p. What is i*s(h) - 2*b(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-268)\/(-52) - (-6)\/(-39). Suppose 20 = 2*w + 13*q - 9*q, -2*w + 25 = n*q. Solve w = -4*s - 8, -2*a = -9*s + 4*s - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f + 193. Let i be z(0). Suppose -i + 13 = -3*x. Suppose -3*l + x = -2*w + 8, 0 = 4*l + w - 51. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -10 - 38. Let u = h + 68. Let t = -10 + u. Solve 2*c = 7*c - t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/21 (b) 1752 (c) -0.24 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -g - s + 51, -4*s - 388 = -4*g. Calculate the common denominator of (531\/g)\/(0 + -4) and ((-3773)\/(-88))\/7*4\/18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.238 - -0.108. Round q to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {w: 5, o: 2, p: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (-33 - 12 - -85).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**4 - 2*a + 3. Let v be 5 + 1 + -3 + 2. Let f(t) = 5 - t - 56*t**4 + 52*t**4 - 4*t. Let m(x) = v*q(x) - 2*f(x). Differentiate m(c) wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8094 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 - -22)*58\/10. Suppose 4*b - 173 = -5*t + f, -t + 4*b = -26. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.118432845 rounded to four dps?\nAnswer: 0.1184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(36))\/sqrt(12) - sqrt(15)\/(sqrt(5) + sqrt(20)\/sqrt(4)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 154 + -291 + 64 + -28\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a - 5*s, 0*s + 2 = -a + 2*s. Let b(y) = y**3 - 12*y**2 - 14*y + 13. Let i be b(13). Let g(l) = l**3 - 1 + l + 0 + i + 0 + l**2. Give g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504871003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-12))\/(4\/(-10)). Let s = 0.01 - -1.99. Do s and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.427 - 0.7.\nAnswer: -0.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u = 45*u - 996. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 195. Suppose v = 2*d - 54. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141736.0127918 - -141736. Round p to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 40. Solve l = -0*t - 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4 - 14*t**3 - 11*t**2 + 16*t + 12 = 0?\nAnswer: -3, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323 - 53*p - 32 - 12.\nAnswer: -53*p - 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 10, 0, -1, -2528, 3 in decreasing order.\nAnswer: 50, 10, 3, 0, -1, -2528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30718544 and 606?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.34 (b) -4402 (c) -7.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1441119800 to the nearest 1000000.\nAnswer: 1441000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/2970)\/(-1)*(-54)\/4.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2\/7 - 45652*c\/7 - 45650\/7 = 0.\nAnswer: -22825, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 3:17 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*z**2\/4 + 27667*z\/4 - 3690.\nAnswer: (z + 1845)*(15*z - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 311877 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 2, s: 1}. What is prob of sequence sh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-15)*5\/58. Let q(v) = -v**3 + 16*v**2 + 78*v - 1040. Let a be q(17). What is the closest to 0.1 in 0.3, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227\/41 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2190693777 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + h - 1. Let a be n(0). Let d be 2\/a*110\/(-4). Suppose -5 = -t + 3*c, 0*t + 3*c = 2*t - 16. Calculate the highest common divisor of t and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/22*(63 - 7781\/124)?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121967 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/3 - 4730*t**4\/3 - 9506*t**3\/3 + 90002*t**2\/3 - 44192*t + 18936 = 0. Calculate t.\nAnswer: -6, 1, 2, 2367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 7:48 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 250 = 3*s + 224, 3*a - 18 = -s. Solve 59 = -a*t + 39 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 3. Let m(c) = -44*c - 5 + 8 + 8 + 40*c. Calculate -9*k(q) - 2*m(q).\nAnswer: -q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104254814 - -104097130.517. Let a = y - -157591.483037. Let h = -92 - a. What is h rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263747.3cm in meters?\nAnswer: 2637.473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-13))\/(21\/7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/sqrt(7) + -1 + sqrt(56)\/sqrt(8) + 4 - (-3*(sqrt(343) - (sqrt(343) + 0)) + -2)) + -2)**2.\nAnswer: 12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3 (b) -0.1 (c) 0 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 500\/175*98\/35?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + l + 10. What is the units digit of n(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -80. Let y be ((-1)\/h*0 - -1)*-2. Let c(z) = z**4 + 1. Let m(s) = 3*s**2 - 2*s + 1. Let i(j) = y*c(j) + 2*m(j). What is u in i(u) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 411*o**3 - 570*o wrt o?\nAnswer: 2466*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(2187) + sqrt(2187)*1 + sqrt(2187) + sqrt(2187)))\/(sqrt(441)*-1*-1))**2.\nAnswer: 97200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141817.\nAnswer: 13, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70179*b**2*o**3*t - 16*b**2*t + 75*b*o**3*t + 7544*o**3*t + 2*o**2*t wrt b?\nAnswer: 140358*o**3*t - 32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k + 3\/70*k**7 + 17\/30*k**5 + 5\/6*k**3 - 9*k**2 - 13\/60*k**6 - 7\/8*k**4 - 1\/336*k**8 + 0. Factor d(s).\nAnswer: -(s - 5)*(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364\/75 <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 406865403 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m - 29*m + 71*m - 17*m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 174 - (102 - 14) - 100\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 2*a. Give s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 47 + 48 - 180 - 990*m + 43 as s + f*m and give f.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-14))\/(184\/20608) + 12\/(-2). Solve -12 = -l*d + 14*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25949 by 100.\nAnswer: -25949\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447115672?\nAnswer: 2, 277, 201767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 4*m - 836. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (2 + -1 + -2). Let v(h) = 436*h + 2. Let l be v(i). Suppose 3*q + 2*w = -q - l, 0 = -2*q + 2*w - 452. What is q rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 201 + 11*x - 30*x**2 - 180 + 9*x**4 - 10*x**3 - x**5 + 0*x**5 = 0.\nAnswer: -1, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 18*h**2 + 15*h - 8. Suppose 0*n - 136 = 8*n. Is 6 a factor of k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 12900480.\nAnswer: 38701440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5441040 divided by -1.\nAnswer: 5441040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2312330 (base 4) to base 6\nAnswer: -130112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 754626*m**3*t**2 + 2*m**2*t - 3*m**2 - 538*m*t**2 + 4*t + 3 wrt m?\nAnswer: 4527756*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5*p = 3*n - 99, 0 = 5*p + 15. Let u = n - -52. Let s be 16\/28 - (-482)\/u. Solve 3*x + 4*k - 1 = 4, s = -2*x + 5*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 19*j**2 - 19*j - 4. Let w be u(-18). Solve -g + w - 16 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 1\/6 (c) 2\/17 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Suppose b*j = j. Suppose -z + j*z = -11. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10922 + (6 - -1 - 4). Let g = -54349\/5 + w. Is g not equal to 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4062555 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 10*w**2 - 3*w - 39. Let p be d(-10). Let z(t) = -9*t + 46. What are the prime factors of z(p)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.4 - 7. Let o = 6.14 - 0.14. Let w = 5.7 - o. Which is the biggest value? (a) -3 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*o + 19*o + 9*o)*(2 + 2 + 3 - 1 + 5) in the form j + u*o and give u.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 8 + 17 - 9.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1391 - -2720. Suppose -8211 = -12*x + d. What are the prime factors of x?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.19047 - -101.06947. Let m = -100 + a. Round m to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -681 (base 9) to base 11\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 441399 <= 441453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 921776 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: What are the prime factors of 126207?\nAnswer: 3, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1353*v**2*w - 39*v**2 + 28*v + 5*w**4 + 2 wrt w.\nAnswer: -1353*v**2 + 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060465.\nAnswer: 3, 5, 373, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/15 + -2 + 4. Which is the nearest to 1\/3? (a) v (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003055056 to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/12*3\/7. Let a(d) = d**2 - 10*d + 28. Let c be a(6). What is the closest to -2 in s, c, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - -5. What is the greatest common divisor of u and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/149 + 303\/745. Let j(l) = -l**3 + 19*l**2 + 25*l - 130. Let m be j(20). Put o, 1\/4, m in ascending order.\nAnswer: m, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4\/3 - 5*r**3\/3 + 4*r**2\/3 = 0. Calculate r.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 1 + 2*t**2 - t**2 - 1.\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3802510173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 4. Let o be ((-237)\/(-9))\/(x\/9). Let t = -52 - o. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -754, -1708, -3034, -4726, -6778?\nAnswer: -9184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b873 + 8?\nAnswer: 4b87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/129)*v**31 assuming v is positive.\nAnswer: v**(3997\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 13*g = 0. Suppose g*z = 3*z - 6. What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 5*o - 25. Let v(r) be the second derivative of r**3\/3 - 6*r**2 - 2*r - 55. What is -2*s(m) + 5*v(m)?\nAnswer: -2*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b + 10. Let s(t) = -5*t**3 - 3*t**2 - 2*t - 2. Is 14 a factor of s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = 0, 27 = 5*q + 2*g - 0*g. Suppose 200*k - 167*k = 363. Calculate the lowest common multiple of k and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*v - 2*m + 3 = 0, -3*m + 6 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g. Let m be f(4). Suppose 5*u - 4*u - 3 = 0. Does 2 divide (u\/6)\/((-2)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 9*o**2 + 12*o - 41. Give x(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -94, -335, -730, -1273, -1958, -2779?\n\"Answer: c**3 - 83*c**2 + c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/8 - 12\/(-48). Solve 3*h + 7 = -h - b*x, 4*x = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - sqrt(8064)*2)\/(sqrt(8) + -2*sqrt(288)) - 4*(sqrt(448)*-1 + 0 + sqrt(448)).\nAnswer: 23*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 20. Let g(s) = -7*s + d*s - 7*s - 15. Let k(c) = 3 + 185141*c - 370380*c + 185241*c. Give 2*g(u) + 11*k(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (450\/8)\/((-270)\/(-48) - 6). Round f to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 - 280 + 8921*z - 8530*z.\nAnswer: 391*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1738*t**2 - 9*t + 60. Let k(g) = -870*g**2 - 4*g + 27. Calculate -9*k(a) + 4*o(a).\nAnswer: 878*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 - -187. Let n(q) = -75*q - 2. Let f be n(1). Let i = g + f. Which is smaller: i or 19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 4*y + 134. Calculate z(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine fifths of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2728217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:11 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 - 3*t**3 - 2*t**2 + 2*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**2\/2 - 6*r - 2. Let w(b) = -b**2 - 7*b + 13. Let t be w(-9). Calculate s(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -433, -652, -873?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 111*s**2 + 110*s - 2274. What is k(55)?\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196341149?\nAnswer: 3, 47, 8484689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = f, 0 = -4*f - 0*m - 3*m - 5. Suppose -3*o + 24 = o. Solve -n - f = -o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 10:59 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 921, 1702, 2483, 3264?\n\"Answer: 781*c + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369 + -366. Suppose -2*x = i*x - 4*n - 1301, -4*n + 787 = 3*x. Factor 1081\/10*s**3 - 108\/5 - x*s**2 + 702\/5*s - 84\/5*s**4 + 9\/10*s**5.\nAnswer: (s - 6)**3*(3*s - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.92772 - -1.32.\nAnswer: -1.60772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) -5 (c) -0.06 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 166 = t, -2*t + 73*y = 78*y - 340. Calculate the smallest common multiple of t and 220.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9772 is divided by 3030.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293911702?\nAnswer: 2, 7, 2999099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/120)\/11 - (-6)\/20. Which is the biggest value? (a) v (b) 0.1 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198201\/20 + 9908. Find the common denominator of y and 4\/(-6) + 89\/(-18).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -6.7073.\nAnswer: -6.6673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/5568 and -49\/140403?\nAnswer: 260587968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/((-10608)\/6188)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001 (base 4) to base 3.\nAnswer: -112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -223*d. Let u(m) = -m**3 + 2*m - 1. Let i be u(1). Let l be -1*(-3)\/(-3) - i. Is n(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/45990271 and -17\/38801?\nAnswer: 321931897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 3*j**2 - 2. Let m(p) = -p**3 + 2*p**2 - 2. Suppose 0 = -2*o - 4. Let a(y) = y**2 + 4*y + 1. Let t be a(o). Give t*m(v) + 2*s(v).\nAnswer: v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 199337*j. Let x(q) = 2*q**2. Calculate m(x(p)).\nAnswer: 398674*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + (-6 - (5 + -10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by 35382\nAnswer: 38\/5897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 802032 and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(161\/(-2277)*-11)*7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)\/(-21 + 39). Is 1\/27797 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*s - 50. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 8 - 17. Suppose -15 = -y*w + 15. What is the derivative of 8 - a + 0 + w*a + a wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 640444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1301031 + -434100?\nAnswer: -2240131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 2. Let o be z(2). Suppose -o*f - 65 = -5*u - 2*f, f + 5 = 0. Suppose 2*v - u = -3. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**6\/15 + 29*w**4\/12 + 72*w**3 + 970*w. Find the second derivative of d(r) wrt r.\nAnswer: 24*r**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/sqrt(576) - sqrt(30))\/((sqrt(90) - (-4*sqrt(90) - sqrt(90)))\/sqrt(9)) + 1.\nAnswer: -7*sqrt(3)\/48 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502225860 divided by 167408620?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -2*h**3\/3 + 6*h**2 - 2*h - 55. Let k(m) = -2*m**2. Determine o(k(t)).\nAnswer: 8*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 20, 3\/1921, 1\/2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -241, 4, 0, -81.\nAnswer: -241, -81, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**3\/6 - 9*v**2\/2 - v. Suppose 0 = 2*p - 3*g - 2, -3*p + 4*g - 4 + 5 = 0. What is y(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*q = -0*q + 55, r - 3*q + 5 = 0. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 4\/7, -6, -2\/13 in descending order.\nAnswer: 4\/7, -2\/13, -0.3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkygkkygygk. Give prob of sequence kgk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-252)*3*14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-4)\/(-3)) + (-21 - -20). Let b be 2 - 12*((-3)\/(-2) - f). Is 2\/b - (-49137)\/44 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 2*i**2 - 20*i + i**4 + 21*i + i**4 - 6 to j*i + m + x*i**3 + p*i**4 + u*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Is (-71)\/(-3) + f\/12 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 121*d**5\/12 - d**4\/12 - 2511*d**2. Let x(j) = -2*j**2. Determine f(x(v)).\nAnswer: 2420*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7859529671.\nAnswer: 7, 67, 71, 233, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135 by 13853.\nAnswer: -135\/13853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 6)*(-24*s - 103*s + 352*s)*(10 + 32 + 44) to the form f + j*s and give j.\nAnswer: 38700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from vvnuunhkhlhulhvl?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k - 10. Let b be q(-7). Let s = 34 - b. Let m be s\/12*(7 - 1). Solve -4*c + 16 = 4*d, -2*d + 2*c - m = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1843\/9 - -205. What is the closest to 0.1 in r, 0.3, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -6\/11, -4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13289325, -26578642, -39867959, -53157276, -66446593, -79735910?\n\"Answer: -13289317*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 1\/10, -0.2, -3.0396, 5 in decreasing order.\nAnswer: 5, 1\/10, -0.2, -4\/3, -3.0396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1334674 - 1934674. Round u to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30699 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (-4 - (-3 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -0.07, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -591 + 28749094.\nAnswer: 28748503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -z - 94, -4*w = -3*z + 2*z - 100. Calculate the lowest common multiple of (z\/(-14))\/((-56)\/(-196)) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 40*m - 272. Let c be i(9). Solve -22 = -5*b - c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = 17*u + 12. Solve -2*q - 15 = u*q, -3*b = -4*q - 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27500476 + -0.275. What is m rounded to 7 dps?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2885860529 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.08, 1\/9, 1, 0.0309, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/80*-1*15\/18.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*258.\nAnswer: 6450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1314 and 55990854?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from bbebbffheebbbheb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/152 (b) -3\/4 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + y**2 + 0*y**2)*(212*y + 8*y**2 - 87*y + 456*y - 42*y).\nAnswer: 16*y**4 + 1078*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 947576 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -152? (a) 4 (b) -3 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (6 - (-4 - ((6 - -3) + -12)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - p + 13 + 0*p + (-3 + 3 + 1)*(-p + p + 2*p) - 4*p - 2*p - 6*p - 2*p - p + 4*p.\nAnswer: -10*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 less than -0.8718?\nAnswer: -27.8718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2532397*s**2*t**4 - 28*s**2 + 4*s*t**2 - 499 wrt t.\nAnswer: -60777528*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-273)\/(-42))*(-16)\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6153*y + 5. Let m(j) = 30768*j - 27. Give -11*b(z) - 2*m(z).\nAnswer: 6147*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i**3 + 0 - 1\/7*i**5 + 5\/84*i**6 + 3\/28*i**4 + 12*i**2 + 0*i. Factor l(j).\nAnswer: 2*j*(5*j - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88.17 + 4.83. Let j = -979454.84090094 + 979547.8409. Let s = u - j. Round s to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -56. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**5\/20 + 7*z**4\/8 + 2*z**3 - 689. Find v such that j(v) = 0.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 51323139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 312446 or -2\/5?\nAnswer: 312446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 278?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r**2 - 33*r**2 - 10 + 25 + 12*r**2.\nAnswer: -85*r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.8 and 7.572.\nAnswer: 10.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172616*s + 3*s**2 - 172616*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 887 + -882. Let z(l) be the second derivative of -7\/20*l**s + 0*l**3 + 6*l + 0 + 0*l**4 + 4*l**2. What is the derivative of z(g) wrt g?\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skpjsjojps. Give prob of picking 1 j and 1 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-6)\/1 - (8 + 1098\/(-54))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 2, n: 1}. What is prob of picking 1 n and 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 482 by -1.\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111111100101 (base 2) to base 8.\nAnswer: 17745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14616822 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/9 - 206*t**2\/9 - 6550*t\/9 - 66250\/9 = 0. Calculate t.\nAnswer: -53, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.17. Let v = i + 5.07. What is the third biggest value in v, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let p(m) be the second derivative of 17*m**4\/2 - 35*m. What is p(g(v))?\nAnswer: 102*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 785166 (base 11) to base 12\nAnswer: 504199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1220 - -432?\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4171 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 68. Let d(g) = 3*g**2 - 135*g - 36. Let u be d(45). Let b = u + h. What is the remainder when 28 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 679216, 1358457, 2037698, 2716939?\n\"Answer: 679241*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 2712107 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 4, k: 2, u: 2, d: 1}. Give prob of picking 1 t, 1 m, 1 k, and 1 d.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvswdwv. What is prob of picking 1 v and 1 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -39*818\nAnswer: -31902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76675673, -153351343, -230027013, -306702683, -383378353?\n\"Answer: -76675670*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/45 + 23\/69. Let p(z) be the first derivative of 4\/15*z + 1 + 0*z**3 + 1\/30*z**4 - f*z**2. Find t, given that p(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {z: 8, n: 8, x: 1}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) -904 (b) 0.2 (c) -0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhviivyv. Give prob of sequence hv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15888, 15798, 15720, 15660, 15624, 15618, 15648?\n\"Answer: s**3 - 97*s + 15984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*i + 21 + 161, 2*i - 170 = t. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 28359 + 28276 = 5*y, -3*y - 47 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/((94\/(-705))\/(7\/(-20)))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 177.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93 and 636.\nAnswer: 19716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498668 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -14 + -1 - -3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/385)\/((-49818)\/1840 + 27)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2996 rounded to two decimal places?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 3*l + 5*l)*(l - 5*l**2 - l)*(-2 - 1 + 4).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u + 5*u - 9*u + (-2*u + 5 - 5)*(-1 + 11 - 3).\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4\/3 + 2623*h**3\/3 + 512194*h**2\/3 - 13099168*h\/3 + 4194784 = 0?\nAnswer: -204, 1, 22, 2804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 15*q**3 + 154*q**2 + 9*q - 48. Determine n(-10).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -25\/108?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4737390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6827.91 - 6828. What is the closest to 1\/6 in -2\/47, -0.3, p?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 111324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1569*f + 1570*f - 3 = -v, 3*f = v - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2490)\/249*-31*(-8)\/(-80)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -251, -249, -237, -209, -159?\n\"Answer: s**3 - s**2 - 2*s - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -507.937 + -0.063. Let u = -507.9 - p. What is the closest to u in -0.03, 5, -5, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32266565 - 24?\nAnswer: 32266541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1555 is divided by 390.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + (sqrt(684) + -2)*5.\nAnswer: -10 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 10 = 5*w - 3*d, 5*d + 28 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 2*i + 0*i - 5*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560 (base 9) in base 12?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 5*p + y + 3*y, -y = -4*p + 110. Suppose 5*b + 15 = 0, p = 5*z - 2*z - b. Suppose 5*n = 3*n + 62. Calculate the remainder when n is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khhk when four letters picked without replacement from kkkkkkhkkkh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*1\/(-1))\/((-232)\/(-4))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2. Let o(z) = -z + 30. Calculate 4*f(m) - 2*o(m).\nAnswer: 2*m - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 - 1a5cca?\nAnswer: -1a5d35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213 - 205. Let o be -1*2 + (-13 - -29). Suppose -16*h + 48 = -o*h. What is the greatest common factor of h and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1724786 and 680.\nAnswer: 34495720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from otopopwtxooottoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 77 + f - 77. Let i(z) = -2*z**2 - 3*z. Give i(l) + 3*m(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -1\/2, 5, -0.054, 11171, -4?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 595*h**3 - 304*h**3 - 286*h**3 + 6*h**2.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10441307*u**3 + 3480432*u**3 + 3480431*u**3 + 3480441*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37750 and 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -13605.\nAnswer: 2\/13605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/11? (a) -2\/9 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 2. Let o(p) = 2*p**2 - 4*p + 141. Let k(n) = -o(n) + 4*w(n). Let u(r) = r**2. Determine u(k(f)).\nAnswer: 4*f**4 + 532*f**2 + 17689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24064 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 (base 8) in base 6?\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54339 + 54341 - 27*v - v**2 - 10*v)*(2 - 5 + 1) to the form x*v + a + g*v**2 and give x.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 3*g + g + 2*g - 4*g + 0*g + (-3*g + 2*g - g)*(1 - 2 + 3) + (3 + 2 - 3)*(-g + 0*g - g) + 62*g - 229*g - 96*g to p*g + u and give p.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*y = 171, 7*q - 3*q - 3*y + 200 = 0. Let u = q + 128. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 10. Let v(p) = -p**3 + p**2 - 2*p + 4. Let a be v(k). Suppose -35 = q - 2*q + 4*j, a = 3*q + j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 8*o + 2. Let z be l(9). Let u(c) = c**2 + 7*c + 5. Calculate u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1802*g + 3852879 - 3852879)*(-4 + 3 + 0) in the form f + s*g and give s.\nAnswer: 1802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 37.7. Let l = -1.3 - w. Let g = 28 + -28. Which is the closest to -2? (a) -0.1 (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.096 + -5.856. Let j = o + -0.64. Round j to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 26 = -4*b - 4, 2*b = -2*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 259 and -0.219.\nAnswer: -56.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252586*b + 252541*b + b**2 - 505274*b.\nAnswer: b**2 - 147*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8310523383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = c + v, -2*v = 2*v + 16. Suppose -2*m + c = -m. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 0.1, -48, -1, -2\/9, -1\/5?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q + 546 + 517 = -127 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306 + 563. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 9161\/1238?\nAnswer: 9161\/1238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000508 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -60. Let u = -81.228 + 36.269. Let n = c + u. Round n to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486752 is divided by 243312?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.43831 - 0.68831. Which is greater: 0.0505 or m?\nAnswer: 0.0505","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - 6*b**2 - 5*b - 9. Let g be v(-4). Let c = g - 17. Let o be 684\/(-117) - 4\/c. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 + 2\/3. Suppose 5 = -0*w + 5*w. Let o = i + w. Solve -2*g = -0*m - 3*m + 3, o = 2*m - g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480618*f - 1481478*f + 860 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 80*c + 38. Give b(40).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861720527.\nAnswer: 127, 163, 41627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 387520 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026*f**4 - 5481*f**3 - 4398*f**2 + 2091*f - 18 = 0. What is f?\nAnswer: -1, 1\/114, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40\/51 in -8, -1, 4\/29?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:35 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000219 rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1806 and 42?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3585295 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1436*k**5 - 133540*k**4 - 3247540*k**3 + 115460*k**2 + 3246104*k + 18080 = 0. What is k?\nAnswer: -20, -1, -2\/359, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 135?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*m**4 + 8059*m**3 + 6*m**2 - 2112859*m wrt m.\nAnswer: -120*m**2 + 48354*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 3 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -11*t**6\/12 + t**5\/5 + 11*t**4\/8 - t**3\/3 - 13. Suppose p(u) = 0. Calculate u.\nAnswer: -1, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14916650 is divided by 709?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 + x**3 - 3*x**3)*(26*x - 13*x + 17*x).\nAnswer: 90*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 2, e: 2, x: 1, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*y - 622*y = 2*k - 16, 2*y = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(20\/(-8))*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c + 14*c + 7*c)*(2*c + 3 - 3) as x*c + v*c**2 + u and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 19071466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 3. Let m(g) = 44*g - 34. Let c(x) = 68*d(x) - 6*m(x). Let p(l) = 3*l + 6. Let v be p(-4). Let k be ((-1)\/(-3))\/(2\/v). Calculate c(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2746*r + v = 2742*r - 64, 0 = -3*r - 4*v - 61 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/((-16)\/26658) + (42\/(-12) - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2260 + 745.24\nAnswer: -1514.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*v*y + 6638367*d*y + 116313*v - 58*y wrt d.\nAnswer: -v*y + 6638367*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o + 2*o + 6 + 8*o**2 - 13*o**2 - 4*o + 6*o**2. What is f(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 15242.\nAnswer: 106694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 12, 2*l + n = -3*n + 18. Solve 2*h + 9*r - 4*r = 17, 0 = -2*h + l*r - 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021021102 (base 3) to base 10\nAnswer: 24986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31204 - 1160 = 899*l for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -84 (b) 10 (c) 0.8 (d) 8 (e) -0.04 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = c + 20, -4*x + c - 36 = -0*x. Let s be x\/(-16) + (-18)\/(-4). Suppose 0*m + 5*m - n = 20, -n + 20 = s*m. Put m, 0, 5, 1 in ascending order.\nAnswer: 0, 1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32346.51 - 32205. Let r = -140 + g. Round r to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -2106 (c) 1340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207195 and 1140?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92314085 is divided by 1446?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7527 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20 = z, 79 = -4*g + 3*z. Let t = 106 - 111. Let s = t - g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**2 - 2 - 5*p + 2. Let d(l) be the first derivative of 14*l**3\/3 + 7*l**2 - 3. Let u be 0 + (-2)\/10 - (-1064)\/(-280). Determine u*d(s) - 11*m(s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2 + 0 + 5 + 4 - 6*s. Let x(t) = 2*t - 25. Let q(z) = z - 8. Let a(o) = -7*q(o) + 2*x(o). Calculate -11*a(h) + 6*i(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1552 and 1310276?\nAnswer: 5241104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h + 5. Calculate the remainder when 129 is divided by n(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4722711962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)\/sqrt(3) + sqrt(33))\/(sqrt(11) + sqrt(11) + (2*sqrt(891) - sqrt(891))).\nAnswer: 2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*d + 32 + 14 + 20 - 66.\nAnswer: 439*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6657 is divided by 186?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 26 - 26)*(838841*v**2 + 838845*v**2 - 773 - 1677684*v**2) in the form j*v**2 + l*v**4 + y + w*v**3 + c*v and give j.\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3. Let o be j(1). Let b be (6\/9)\/(o\/(-12)). What is the least common multiple of (b\/(-2))\/(4\/22) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846391?\nAnswer: 31, 59561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19815 divided by 8?\nAnswer: -19815\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1395 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6496 and 16384.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 2, a: 4, u: 1, s: 2}. Give prob of picking 1 o and 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0*q + 0 + 0*q**3 + 5*q**2 + 1\/15*q**5 + 0*q**4 - 1\/30*q**6. Find the third derivative of r(z) wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 + (-4 - -4) - 5. Suppose -3*m + l = -2*m + k, -5*m = -3*k - 95. Solve 2*f = r - 9, 0*f - 4*f = m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3, 16, 0.3, 12, 0.7, 0.1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 3*r + 2. Let f(d) = -d**3 - 3*d**2 - 4*d - 2. Let y be f(-2). Let o be x(y). Solve o*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/15)*d)**(-7)*(d\/d**(-26))\/d**24 assuming d is positive.\nAnswer: d**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.8583572 rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7826\/(-54223)*11\/(-308)*-8.\nAnswer: -4\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 8:27 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**2 + 12*f + 31. Let h(n) = n**2. Give t(h(s)).\nAnswer: 5*s**4 + 12*s**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5034, -9234, -13434, -17634, -21834, -26034?\nAnswer: -30234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 22. Suppose j - 2 + 3 = l, -s = -4*l - 3*j. Let z be 2 - l - (-60)\/3. Solve -z = r - 6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050682 divided by -104?\nAnswer: -1025341\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10284 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2969*w**3 + 47 - 47 + 3126*w**3 - 6099*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 80. Let c be 420 - -1 - 2 - (-3 + 0). Let u = 602 - c. Calculate the highest common divisor of v and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -0.066.\nAnswer: -35.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 1271?\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 i when four letters picked without replacement from tijtjktvij?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**3 - 4*g**2 - 6*g + 6. Let c(p) = 12*p**2 - 50008*p**3 - p**2 - 17 + 17*p + 50037*p**3. Give 6*c(t) + 17*s(t).\nAnswer: 4*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 498740208 to the power of 1\/3, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24373 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 477827 and 477827.\nAnswer: 477827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769194505 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, p: 2}. What is prob of picking 2 c?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-9)*15\/(-10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -7*d + 6. Suppose -12 = -d*s + 2*t, -3*s - 3*t = -0*t + 6. Solve -3*x = 4*k - 23, -s*x + x = -3*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 135?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3996 and 131112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(360\/(-2))*-18)\/(4\/(-10)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 4, 81, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 7 + 3 - 65 + 69.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -200633, -401232, -601825, -802406, -1002969?\n\"Answer: v**3 - 3*v**2 - 200597*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0 = 16. What are the prime factors of (131\/t)\/((-13)\/52)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*m + 109*m = -24. Let h be (m\/(-28))\/((-11)\/385). Solve 2*y + h = 5*v, -2*y - 1 + 10 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2290)\/(-2977)*78\/(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16002)\/16 - (-12)\/96. Let s = -549 - f. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3\/5, -4, -3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -82, -171, -296, -463, -678, -947, -1276?\n\"Answer: -f**3 - 9*f**2 - 25*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 23146, 2, -4533 in decreasing order.\nAnswer: 23146, 2, -4533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -66. Suppose f*z - 15*z + q + 4 = 0, -3*q = 4*z - 28. Solve n = z*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -26 - 103. Suppose -2*b + 3 = -w. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11636690641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8946 divided by -21?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m = 5*o + 60, -3*o - 2*m = 36. Let x = 9 + o. Sort 1, -1, x in decreasing order.\nAnswer: 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7169 * -2345.\nAnswer: 1681.1305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*l - 0*l - 80, 5*l - 15 = 0. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2429039 - -0.2432. What is t rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5573100 - -4647.\nAnswer: 5577747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5359*c. Let u(j) = -4*j. Determine -i(d) + 92*u(d).\nAnswer: -5727*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {t: 4, w: 1, s: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2879419 minutes in seconds?\nAnswer: 17.276514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let q(p) = -4689 + 4689 - 4*p**2. What is f(q(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m = 720554 - 722660 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.6232 millilitres to litres.\nAnswer: 0.0596232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(114)\/(4*sqrt(6) + sqrt(6))*5*-6)**2 - (-3 + (sqrt(171)\/sqrt(9))**2 - sqrt(1900)*4)).\nAnswer: 40*sqrt(19) + 668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n + 3*j - 6603 = 0, -4*j - 6596 = -5*n. Is n a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40331818697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 9*d - 15. Let g be ((-2)\/(-7))\/((-288)\/42 + 7). Solve -g*f + d*f - 16 = 2*b, -5*b = f + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 851, 3501, 7917, 14099, 22047, 31761, 43241?\nAnswer: 56487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*q - 2 - 6 = 0, -5*d + 3 = -3*q. What is the derivative of -d + 7 + s**2 + 6*s**2 - 8*s**2 wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 3*f**2 + 2*f**2 - 32.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -354.\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125254854*j**3 + 5976*j - 11590.\nAnswer: -751529124*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -5*b + 453. Suppose j = 2*s + 20, 7*s - 4*s - 47 = -2*j. What is the highest common factor of b and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/10 and -3\/307?\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1413 - 3*w**2 - 6*w - 2825 + 1417 + 6*w. Let z(q) = 11*q. Calculate m(z(n)).\nAnswer: -363*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 525982 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -32. Let a = w - 6. Calculate the lowest common multiple of a and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32473920 by -270616.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {i: 3, h: 10, o: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/6 + 2*o. Let k(y) be the second derivative of -2\/3*y**3 + 0 + 2*y + 0*y**2. Determine k(u(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, c: 1, z: 5}. What is prob of picking 1 c and 1 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -7*p + 6*p - 2*k, -5*p = -k - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979104 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2669 = 12*b + 931. Let f = 5971\/20 + b. Find the common denominator of 5\/8 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 2*k**4 - 2*k**2 + k**3 + 3*k**4 + 0*k**2 in the form x*k**4 + j*k**3 + r*k**2 + l + n*k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 322063\/(-11)*2\/(-4). Let a = 14642 - q. Let s = -194305\/52182 - -4\/2899. What is the common denominator of s and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -738 + 756. Suppose 46*q - 28*q = z. Let f(x) = -13*x + 5. Let b(n) = -6*n + 2. Let r(j) = 5*b(j) - 2*f(j). Give r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 741\nAnswer: 37.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 59244*z + 532872.\nAnswer: 4*(z - 14802)*(z - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150274 * -0.068.\nAnswer: 10218.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036056 rounded to five decimal places?\nAnswer: -0.00361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k + 17 + 31. Suppose -3*b - 5*p = 0, 3*b - b + 5*p - 5 = 0. Sort k, -1, b in increasing order.\nAnswer: k, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33108105*f**2 + 161*f - 60569 wrt f?\nAnswer: 66216210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - -3.2. Let w = -15860 + 15857. What is the closest to l in -1, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260 + 6*q**2 + 8*q**2 + 141 + 119.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(80)*2 + 2)**2*4.\nAnswer: -768*sqrt(5) + 11584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102, -101, -100?\n\"Answer: s - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -25, -24, -41, -82, -153, -260?\n\"Answer: -o**3 + 20*o - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 11) to base 14.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7 = 2*m, 2*m + 13*f - 10*f = 17. Solve 3*k + 5*h = 2*k - 22, 2*h = m*k - 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**4\/10 - 18*x**3\/5 + 243*x**2\/5 - 23*x - 20. Let u(t) be the first derivative of f(t). Factor u(m).\nAnswer: 6*(m - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*b + 2 = -b, 1 = -t - 2*b. Let w(h) = h**2 + h. Let m(x) = 2*x**2 + x - 5. Let i(q) = t*m(q) + w(q). Let k be i(0). Solve 2 = k*v - 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -306*w + 1963 - 1963 + (1 - 5 + 2)*(-w - 3*w + 2*w).\nAnswer: -302*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -15552\/25*l**5 + 9234\/25*l**6 - 26*l + 1848\/5*l**4 + 96\/5*l**2 + 0 - 1696\/15*l**3 + 4374\/35*l**7. Factor d(y).\nAnswer: 4*(y + 3)*(9*y - 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.21650059 + 3404?\nAnswer: 3412.21650059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 + 1877*b + 13346. Give f(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, -6, -48, -130, -264, -462, -736?\n\"Answer: -2*y**3 - 2*y**2 + 6*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 103 = -5*y, -349*w + 346*w = -5*y - 83. Let z(s) = -3*s - 1. Let i be z(-6). Let k = w - i. Is k less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a - 19*a + l + 48, -2*l + 58 = -3*a. Let g(o) = 25 - 5*o + 6*o + 0*o. Let h be g(a). Solve 0 = 2*j + h*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let f(q) = -18*q - 17. Let j(z) = 6*b(z) + f(z). Let m be j(-5). Let k = -35 + m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56861192 by 229279.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5410 - 2144 = -343*f - 694 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 9\/((-18)\/8). Suppose 0 = -r*f + y - 3*y + 19, 0 = -3*f + 4*y - 11. Suppose -a + 15 = v - f*v, v = a - 13. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**2 + 5 + 2*x**2 + 4*x**2 in the form m*x**2 + c*x + b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 11, y: 3}. Give prob of sequence ymk.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -253224 + -5?\nAnswer: -253233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*c - 284 = 52, 2*c = -4*u - 328. Is 8 a factor of (6 - 2)\/((-20)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8742, -17476, -26196, -34896, -43570, -52212, -60816?\nAnswer: -69376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -397057 (base 12) in base 16?\nAnswer: -e6c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**3 + 5*o**3 - 76*o**2 - 59*o**2 + 160*o**2 as n*o**2 + i*o + l*o**3 + a and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {o: 1, l: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 315 - 325. Let f(b) = 4*b - 20. Let l(p) = -p + 6. Let j(d) = i*l(d) - 3*f(d). Let q(w) = -469*w**2. What is q(j(g))?\nAnswer: -1876*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, -45, -257 in descending order.\nAnswer: -45, -165, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = 5*a - 2*g, -a - g = 1. Suppose -4 = -3*t + a. Let x = 9 - 7. Solve -h + 3*y - 10 = 0, y + x = h + t*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 106?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4 - (-64052)\/36) + (6\/27)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*j + 7 = -1, 2*j + 55 = -5*q. Suppose 2*r = -2*g + 113 + 3, 4*g + 128 = 2*r. Let h(b) = 2*b**2 - 11*b**2 + r - 69 - b**3. Calculate h(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1893 (base 11) to base 15\nAnswer: -aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 7*t - 16. Suppose -7*l - 42 - 21 = 0. Let p be w(l). Is p greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1288 = -100. Let x = g + -878. Is x a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18633317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/3 - 12*b**2 + 585*b + 418. Factor h(r).\nAnswer: -(r - 15)*(r + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 53. Suppose 0*m - 2*m + a = 0. Let p = 67 + -27. Calculate the highest common factor of p and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {q: 6, y: 5, m: 1, h: 2, z: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 - 133*q - 20. Calculate a(-23).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-9))\/(7\/(-17388)). What is the thousands digit of s\/8*(-5)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 7*k - 2*k**2 - 95 + 95.\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8418690, -16837379, -25256068, -33674757, -42093446, -50512135?\nAnswer: -58930824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13825258.900033 - -13825198.9. Let o = -60 - s. Round o to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -15*g - 406. Let q be d(-27). Let m(z) = -2*z - 1. Let c(l) = -l**2 + 2*l + 1. Let i(y) = 5*c(y) + 6*m(y). Give i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219114252 divided by -2608503\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*y - 6012*y - 569439 for y.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611332?\nAnswer: 2, 152833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z + 696 = 0. Let a be ((-6)\/(-18))\/((-1)\/z). Let o = a - -29. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -1. Let n = 1365 + -20482\/15. Let r = 4\/5 + n. What is the third smallest value in -2, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -993*k**2 - 864*k. Let l(p) = 2961*p**2 + 2593*p. Let u(w) = 4*l(w) + 11*x(w). What is the second derivative of u(a) wrt a?\nAnswer: 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*w - 2*q - 13, 0 = w + q + 7. Let d be 2\/w - (-42)\/8. Suppose 0 = -d*x + 1 + 24. Solve x*p - 8 = 2*u - 5*u, -7 = -2*u - 5*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*v - 83*v = d + 4*d - 34, 219 - 17 = 27*v - 41 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/288*-614 + (10 - 13) and 5\/162.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.218+-105254341029\nAnswer: -105254341029.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152398 is divided by 1712?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f. Suppose 2*m - 23 + 9 = f. Suppose -m*y + 3*y = 124. What is y rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 11:40 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 + 223232320?\nAnswer: 223233123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.377 - -3.377. Which is the second smallest value? (a) -0.6 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-386)\/8)\/(3\/4 + -1)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159515863 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/9)\/(q*q**(-3\/2))*q**(-2\/7)\/(q**(-3)\/q*q)*(q\/(q*q\/(q\/q**1)*q))**(-14)*q**(-1\/9)*(q*q\/q**(2\/9))\/q assuming q is positive.\nAnswer: q**(4031\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.03, 0.4, 3, 131.63.\nAnswer: 0.03, 0.4, 3, 4, 131.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154746 - -1202026?\nAnswer: 47280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from towodswoottotoooto?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -110 in -4, 5, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 631377, 5 in decreasing order.\nAnswer: 631377, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(4\/(-2)) - -1. Suppose -16 = o - c*o + s, -o - s = -4. Solve k + 0*k = -3*y + 16, o*k + y = 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 400, 376, 344, 304?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1738666 is divided by 1730?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - 5*2*sqrt(119))\/(sqrt(112)\/sqrt(4)))**2.\nAnswer: 1377\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027543604 to seven decimal places.\nAnswer: -0.0002754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*r - 44 = -r, -4*r + 76 = 4*u. Calculate the highest common divisor of u and 1239.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(396) + 1)*4 - (sqrt(396) + 1)*2)**2 + -3.\nAnswer: 48*sqrt(11) + 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + 3*n**3 - n**3 - n**3 - 3*n**3 + 3*n**3 + (5 - 5 - 2*n**2)*(5*n + n - 5*n) + n**3 + 3*n**3 - 5*n**3 - 7*n**3 + 0*n**3 + 2*n**3.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46557689261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6801?\nAnswer: 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -768.9.\nAnswer: -772.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 59. Let d = t + -36. Let m be -2 - (-4 - d) - -4. Solve o + 8 = -m*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 32)*(-5 + 4). Let v = -31 - a. Let j(c) = c**3 - 6*c**2 + c + 4. Let u be j(6). Solve -v*s - 2 = -4*f - u, f = 4*s + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 62, 110, 178, 272, 398, 562?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**6))\/i*i)\/(i**(-2)\/i))\/((i**2\/i)\/(i*i**0))*(i**(-2))**(11\/4)\/(i*i\/(i*i\/(i\/(i**(-3\/5)\/i*i))*i)*i**5) assuming i is positive.\nAnswer: i**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2300397 - -4809403. Round y to the nearest 100000.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, -4, -30, 1 in descending order.\nAnswer: 11, 1, -3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 56 = -3*v - 38, 16 = 2*l + 3*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49457*o - 2*o**2 - 214 + 4*o**2 + 49457*o.\nAnswer: 2*o**2 - 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 12) + (58 + -19 - (78 - 155))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 - 5*f**2 + 0 - 3 + 5*f**2. Let z be x(4). Let a = z + 26. What is the greatest common divisor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 106 = -v, 4*f - 44 - 50 = 5*v. Solve 3*y = -3*a + 2*a + 11, 2*y = 4*a + f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682 = 2*w + 4*q, -5*w + 5*q - 22 = -1682. Calculate the least common multiple of w and 5.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*h - 3380, 5*i = 2*h + 1767 + 2472. Suppose 5*j - 3*p = 1027 + 394, 3*j + p = i. List the prime factors of j.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let j(q) = -5*q + 38. Let p be j(0). Let o = p - 112\/3. Is o bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7aaa8 (base 15) to base 3\nAnswer: 201211201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8345 is divided by 2083.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -60409*v**3 - 1544*v - 772. Let b(u) = 391*u**3 + 10*u + 5. Give 772*b(j) + 5*g(j).\nAnswer: -193*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) + 1*(-312)\/(-20). Suppose p - 3 - d = 0. Let m(t) = -15*t + 39 - 2*t**2 - p - 20. Let c(v) = v. What is m(c(w))?\nAnswer: -2*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 + f**4)*(5*f + 2*f - 5*f) + ((-2 + 2 + 1)*(0*f**5 - 5*f**5 + 3*f**5) + 3663*f - 3663*f + 29*f**5)*(4 - 3 + 1).\nAnswer: 56*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let b = -3 + 7. Let r = k - b. What is the closest to 0.1 in 3, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 10 = -5*o, o - 18 = -5*u + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 92331428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-9 + (2 + 1 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5673535 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -285075460 rounded to the nearest 100000?\nAnswer: -285100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-21)\/3 + 2)\/(-1) and 122.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 3*g + 236 = 13*o, -o + 64 = -2*g. Factor 3*v**2 + 66 + 75*v + o - 122.\nAnswer: 3*v*(v + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - -4 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 792459698 to the power of 1\/3, to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.8779588 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-357)*(-1519)\/62.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*v = -15, 0*v - 2*v = 6. Let u be l - (-1 + (2 - 4)). Solve -2*g = -4*p, -2*g + 5*p - 26 = -u*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 409 = -2*p + 415, 5*p - 42 = 4*i for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47156.84 millennia to years.\nAnswer: 47156840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -11 (c) 3\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*t**3 + 91*k*t - t**3 + 1297*t**2 wrt k?\nAnswer: -t**3 + 91*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28813977*y**3 - 40213564*y**2 wrt y.\nAnswer: 172883862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.825475876 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -22, 4, 97 in descending order.\nAnswer: 97, 4, -3, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7.3. Let u = 0.2 + -0.4. Which is the nearest to -0.1? (a) 2 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70423 - 145893 = -80*x + 547890. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905250?\nAnswer: 2, 3, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, n: 1, y: 4, g: 1, t: 1}. Give prob of picking 1 g, 1 t, and 1 n.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4)**(-35)*(y*y\/(y**(-1)*y))**(-3\/17))**(11\/3) assuming y is positive.\nAnswer: y**(-26246\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11434267 by 1.\nAnswer: 11434267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7121495037 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iisxsisiisyioiowxo. Give prob of picking 1 o and 1 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2. Let y(l) be the second derivative of -3*l + 0 + 1\/6*l**4 + 0*l**3 + 0*l**2. Determine x(y(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8660 (b) -1\/3 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 101101100000001010 (base 2) to base 4\nAnswer: 231200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.55 - 7.45. Put w, 0.1, 2\/3 in descending order.\nAnswer: 2\/3, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 7*f + 50 = 0. Calculate the least common multiple of f and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 3 (c) 2 (d) -176 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2. Let n(w) = -588. Let q(r) = -r - 4. Let y(a) = n(a) - 147*q(a). Calculate f(y(x)).\nAnswer: 64827*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-380*n**2 - 10*n**2 - 974602 + 974600)*(0*n + n + n) as i*n**3 + y*n**2 + g*n + m and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 12*r**2 + 3*r - 5. Let j be c(4). Suppose -35*m = 56 + 151 + 38. Let g = j - m. What are the prime factors of g?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o + 2*u, 0 = -5*o - u + 15 - 1. Suppose 2*b + 2 = o*b. Let h(j) = j**2 - 8*j - 1. Let q be h(8). What is the nearest to q in 4, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 258238, 0 in decreasing order.\nAnswer: 258238, 0, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 6, -2344, -2 in ascending order.\nAnswer: -2344, -2, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:43 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -80*-1988\nAnswer: 159040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 158\/13 + (-848)\/5512\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15327298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198*n**2 - 79*n + 79*n)*(3*n - 2 + 2 + (-1 + 5 - 3)*(-2*n - 2 + 2)).\nAnswer: -198*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -591?\nAnswer: -591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -30152400 (base 6) to base 5\nAnswer: -204322030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from qcquqcqlcqtl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -4, 11.\nAnswer: -21, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10777 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/((-34)\/((-612)\/(-54))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -6880768 divided by 107512?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 s, and 1 m when three letters picked without replacement from {m: 5, u: 2, s: 1, f: 4, q: 2}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99107.\nAnswer: 23, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 13 - (4 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 703 + 733 = 0. Let q be (6*1)\/(s\/(-4)). Which is the second biggest value? (a) 0.105 (b) -1 (c) q (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/17 + 30*t**3\/17 - 20*t**2\/17 - 48*t\/17 = 0. Calculate t.\nAnswer: -4, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 588344329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 37*i**2 - 413*i + 409. Let k(h) = -7*h**2 + 83*h - 82. Let d(z) = -11*k(z) - 2*v(z). Factor d(n).\nAnswer: 3*(n - 28)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2*sqrt(160) - sqrt(160) - sqrt(160))\/sqrt(4))\/(-1*sqrt(1152) - sqrt(72)*-1))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 22*c**3 + 3*c - 2. Let a be d(2). Suppose 4*x = x + a. Calculate the highest common divisor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2 = 3*j, -2*j - 136 + 82 = -4*i - 74 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.81143 decades in years?\nAnswer: 728.1143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105441 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.344 - 0.144. Let q = 2.2 - 0.2. Which is the closest to q? (a) z (b) 4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t. Let z(n) = 3*n. Suppose -2*h = -0*h - 8. Let b(w) = h*m(w) + 9*z(w). Let i(a) = -2*a. Give i(b(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {a: 8, j: 1, q: 6}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - -1. Suppose -2*g + 63 = -o. Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 3*m**6\/40 + m**5\/15 + m**4\/6 + 2*m**3\/3 + 8*m**2. Let o(z) = -80*z**3 - 35*z**2 - 35*z - 35. What is 35*a(q) + 4*o(q)?\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*-2)**2 - sqrt(243))*-5 + (sqrt(243) - ((sqrt(243) + 0)*1 + sqrt(243) - sqrt(243)))**2 + ((2 + sqrt(243))*-1*3)**2.\nAnswer: -2637 + 369*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, v: 1}. Give prob of sequence vx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*q + 13. Let o be (1\/(-3))\/((-5)\/45). Sort -2, q, o.\nAnswer: q, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = 4*i, -2*b - 4*i - 6 + 2 = 0. Suppose 78 = -p + 40*p. Let x be p + (b - (-3 + 3)). Solve -x*d + 2 = 5*j, d - 2 = -4*j - 2*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 19.\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = -23*z. Suppose -f = 5, -3*h - 2*f + 20 = -3*f. Solve z = -h*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 5*o + 4. Let h be f(4). Let z(c) = 14*c - 12. Let d be z(1). Suppose -15 = d*q - 3*p, 3*q = 2*p - h - 10. Do 2\/51 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 >= 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 + 1 + 4 - 7*c - 6 with respect to c.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184895004 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5038236 and 151\/15114708.\nAnswer: 15114708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145.6 + 140.6. Let w = -211\/4 - -53. Put -2, s, w in descending order.\nAnswer: w, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26947 = 239*i - 16053 + 15276. Solve 0 = -i*c + 133*c + 68 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 334 - 337. Sort c, 1\/19, -2.\nAnswer: c, -2, 1\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 533.3744cm?\nAnswer: 5.333744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 - (-6 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 35443*b**3 + 314175582*b**2 + 2197705284*b + 1883565144.\nAnswer: (b + 1)*(b + 6)*(b + 17718)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 20, -123.\nAnswer: -123, -3, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:32 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 436, 429, 348, 157, -180, -699, -1436, -2427?\n\"Answer: -6*a**3 - a**2 + 38*a + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(1\/5)*j))\/(j*j**(-2\/15)*j))\/(j*j\/(j*(j\/(j\/j**(-2)*j*j)*j)\/j))**(-13))**(-6) assuming j is positive.\nAnswer: j**(-1888\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 5*l, 4*k = l + 1 + 3. Let f = -19 + 18.88. Let h = -4.88 + f. What is the nearest to k in h, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 84*q + 36. Let k be c(21). What is the remainder when 97 is divided by ((-12)\/(-9))\/(48\/k)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12114481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 - m**3 + 7*m**2 + 2*m**3 + 2*m - 6*m**2 + 5*m**3 to g*m**4 + s*m**3 + o*m**2 + x*m + a and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 231. Calculate h(-39).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -407462 or -23632731\/58?\nAnswer: -23632731\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*k - k. Suppose k*h + 3 = -5*a, -2*a = -4*h + 6*h - 2. Suppose -12 = 3*r + r + h*u, -u = 5*r - 5. Solve -r*l - 1 = -l + y, -4*l + y = -16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 11*p**2 + 0*p**2 + 7*p)*(5 - 5 - 3*p).\nAnswer: -33*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518793 (base 11) to base 7.\nAnswer: 10032115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 885\/4 - 221. Factor 0 + 1\/4*r + 0*r**2 - s*r**3.\nAnswer: -r*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8700 rounded to the nearest 100?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 - 163*u + 1309. What is m(10)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2*o - 37 = -15, 0 = -3*j + 2*o - 34 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -51*x. Let g(s) be the third derivative of s**5\/20 + 327*s**2. What is g(z(l))?\nAnswer: 7803*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1098*q**4 - 2*q**2 - 679*q wrt q?\nAnswer: -26352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518 divided by 3?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-9)*99\/165.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2 + 2. Suppose -2 = -u*j + 18. Let y(x) = 193*x - 1145. Let v be y(6). Solve -j*t = -3 + v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2 - -1))\/(4\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 10*g - 24. Let s be -3 + 1 + 6 + -9. Calculate v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b + 1. Let j(r) = 216*r**2 + 84*r + 21. Calculate j(d) - 21*y(d).\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 45. Let u = 1 + -1. Suppose u = 4*o - 10 - 6. Solve o*w - b = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46806038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-9 - -9)) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2088*w + 352885. What is c(-169)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**3\/2 + 9*l**2 + 11*l - 3. Let t be x(-7). Suppose -16*j - 46 = -t*j. Solve 0 = h + j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5971\/(-2559))\/((-2)\/(24\/(-14)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*g - j - 5, 2*g + 4*j - 16 = 0. Solve -6*o - g = -7*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/3 (b) -5\/2 (c) -0.4 (d) -21\/5 (e) -2554 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w + 0 + 0*w**3 + 1\/30*w**6 + 3*w**2 + 1\/6*w**4 + 2\/15*w**5. What is k in o(k) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432975?\nAnswer: 3, 5, 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -30 - -12) + 3 + (35 - 4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*g - 14, -2*g - 8 = -b - b. Suppose -b*f - 52 = -170. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 5*d + 3*d**2 - 33*d + 2*d**2 to the form p + l*d + t*d**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76))**2 + 2 + 5.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 23677. Let u(h) = -10*h. Give p(u(q)).\nAnswer: 10*q + 23677","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j + 6. Let h(w) = 8*w + 44. Let i be h(j). Let a(k) = -2*k**2 + k + 2. Let d(o) = -2*o**2 + 2*o + 2. Calculate i*d(p) - 5*a(p).\nAnswer: 2*p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -232*z - 2122 - 1358. Sort z, -6, 5, -10.\nAnswer: z, -10, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.1 (b) 2 (c) -5 (d) -3\/8 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.108 * -0.18\nAnswer: -0.01944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79932 to 2 dps.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.339381 + 1743637.\nAnswer: 1743637.339381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12172, 12183, 12226, 12319, 12480, 12727?\n\"Answer: 3*o**3 - 2*o**2 - 4*o + 12175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 5:39 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -7. Suppose 7*t = 25 + o. Suppose -3*i + 74 = -2*x - 2*x, -t*x = 20. What is the least common multiple of i and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/85695222 or -1?\nAnswer: 19\/85695222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*k - 2 = 0, 44*l - 42*l + 2*k - 88 = 0. Solve 0 = -49*c + 12*c + l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 674.984*1695.\nAnswer: 1144097.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -203c5e + 72?\nAnswer: -203bec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.98, 0.5, -42, 12 in decreasing order.\nAnswer: 12, 0.5, -5.98, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35.9 and -0.703?\nAnswer: 25.2377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -121997 - 0?\nAnswer: -121997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.5326349 to 0 decimal places.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201200 - -1?\nAnswer: -201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 291?\nAnswer: 5529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471*i - 181 - 14 + 195.\nAnswer: 471*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 1. Suppose -h + 172 = -5*h. Let q = i - h. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2214237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-92)\/(-483))\/(8\/(-28)))\/((-2)\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222 - 20*s + 19*s - 3*s**3 - 93 to the form n*s**2 + f*s**3 + o + t*s and give o.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1133 + -305. What are the prime factors of f?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/5 + 886*v**2\/5 - 27388*v\/5 + 10248 = 0?\nAnswer: 2, 30, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 384*t - 391*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1768+-583303\nAnswer: -581535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -3*j**2 - 5*j + 7. List the prime factors of r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/6)\/b*b\/((b*b*b*(b**4\/b)\/b)\/b))\/(b*b*b*b**(2\/3)*b*((b\/((b*b**(-6))\/b))\/b)\/b))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (344*o - 6 - 284*o + 2)*(0*o**3 - 6*o**3 + 2*o**3) in the form m + r*o**3 + l*o**2 + h*o + z*o**4 and give z.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24, -54, -106, -186, -300, -454?\n\"Answer: -f**3 - 5*f**2 - 8*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/27278 and -101\/6.\nAnswer: 81834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8044 - 7919. Solve -16*r + 109 = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -d - 2*t + 10, 2*d + 2*t - 4 = 0. Let a(o) = 2*o**3 + 3*o**2 + 2*o + 3. Calculate a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -133 - 8\/20*5. Let k = 141 + r. Solve -13*w + 11*w + k = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -91, -83, -75, -67, -59, -51?\n\"Answer: 8*y - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3676064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 164\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 56*b**2 + 344*b - 2. Let a be g(7). Let k(j) = -59*j + 5. Let m(h) = -60*h + 4. What is a*m(i) - 4*k(i)?\nAnswer: -64*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 82*u + 1175. Let l be g(18). Solve -2*b + 5*a - 8 = 6, b = -5*a + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-15)\/(-3))\/30 + 357\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g = 19*g + 12700. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 4*h**2 + 4*h + 6. Let x be z(5). Is (x\/2)\/(1\/66) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1650\/550*2\/(-468)*-24\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -r - 17. Let h be (-6)\/36 + 1\/r. Suppose 7*z + 4*k - 5 = 6*z, z - 4*k = -3. What is the third smallest value in h, z, -1\/2, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - t + 5. Let i be (5 - 2)*9\/(-9). Let g(b) = b - 1. Calculate i*g(l) - a(l).\nAnswer: 3*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 61*r**2 - 154*r - 120. Let q be o(58). What is the greatest common divisor of 65 and q?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1418 + 2278 - 11930 = 0. Calculate the remainder when i is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1300) - 2*sqrt(1300))**2 + sqrt(130)\/sqrt(10) + -3).\nAnswer: sqrt(13) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a982 - d?\nAnswer: -a98f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/11 - 482*i\/11 + 3472\/11 = 0. What is i?\nAnswer: -248, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(((-34)\/(-119))\/(((-48)\/(-84))\/(-2))).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.5 (b) -2 (c) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120*w**3 + 12*w**2 + 6010*w wrt w.\nAnswer: 720*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*u + 19, 2*u + 2*h = 14 - 0. Solve -2 = u*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 465 - 2*s**3 - 9*s**2 - 12*s - 2*s**3 - 447 + 5*s**3. Let j be -2*(0 - (-15)\/(-3)). What is y(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171165186 to the power of 1\/3, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 48006894.\nAnswer: 144020682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4416, 8756, 12882, 16686, 20060?\n\"Answer: -18*x**3 + x**2 + 4463*x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 232232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-8)\/(-1))\/(((-544)\/3400)\/(2\/(-25))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89815 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -40. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -229 - -228.99188. Round q to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y + 4*y - 3*y. Let x(u) = -u. Let z = 293 - 291. What is z*v(p) + 5*x(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -3659*g**7\/210 - g**5\/10 + 121*g**3\/2 - 529*g**2. What is the third derivative of v(b) wrt b?\nAnswer: -87816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**4\/54 - 64*i**3\/27 + 1024*i**2\/9 - 67*i. Solve j(b) = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:19 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2301 is divided by 235.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2127367?\nAnswer: 11, 41, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1637*f + 4268401 - 4268401 to x*f + c and give x.\nAnswer: -1637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3816 + 3873. What is the nearest to 2\/7 in m, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5917 and -0.106757119.\nAnswer: -0.698457119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**1)*i*i\/i**(-4\/5)*i\/i**(-2\/11)*(i*i**(-2\/5))\/i)\/(i**(1\/3)\/(i*i**(-7\/2))*(i\/i**(2\/5))\/i**(-7)) assuming i is positive.\nAnswer: i**(-1931\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/12 and 1\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1. Suppose f - 6*f + 30 = 0. Let c = f + -1. Let a(x) be the third derivative of x**4\/24 - 7*x**3\/6 - 2*x**2. Determine c*w(l) + a(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdzf when four letters picked without replacement from dhkfz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2368 by 1.\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 35990.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*t - 5*t + 8992 = 0, 3*x + 3*t - 6735 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = j, -5*t - 3*j + 95 = 67. Determine g, given that -4\/13*g**t + 14\/13*g - 6\/13 = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147850553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8732*b**4 - 4*b**3 + 2*b + 2173. Let t(q) = -8731*q**4 + 6*q**3 - 2*q - 2181. Let x(f) = -3*i(f) - 2*t(f). Find the second derivative of x(d) wrt d.\nAnswer: -104808*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o - f - 1553, -o - 3*f = 769. Let l = -768 - o. Solve 3*b - c - l = 0, -5*c = 3*b + 2*b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*u + 52, -p - u + 5*u = 0. Solve -c = -5*g + 19, 4*c - g + p = -3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v - 20*v - 20*v)*(-1 + 3 + 0)*(39*v + 3*v - 16*v)*(4*v**3 - 2*v**3 + 0*v**3).\nAnswer: -5928*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w - 15*w**4 - 8*w**4 + 151 - 12*w**4 + 7*w**4 - 19*w**4 wrt w?\nAnswer: -564*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.06 + 40.06009177. Round m to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-3) - (1 + -30). Suppose -4*h - 3*c - 7 = 0, -3*h + 71*c + 24 = 70*c. Solve -5*t - z = 5*v, 2*v = t - 14 + h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 33*s**2 + 7216*s + 300. Give f(-70).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 - 124. Suppose -61 = -5*t + 2*f, 5*f + 4 = -t - 0*f. Let h = q + t. Sort 4, -2, h in decreasing order.\nAnswer: 4, h, -2","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 ldddddllddl?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.98 and 1521.\nAnswer: 1531.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/5 - (-27)\/45. Let s be (t\/63)\/((-3)\/18). Let v = 1 + 4. What is the third biggest value in s, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (13 + -26 + -7 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Suppose -x*o = -5*p, -2*p = o - 5*p + 2. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 62.22218 microseconds?\nAnswer: 0.06222218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 66 = -23*i. Round i to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690935500 rounded to the nearest one million?\nAnswer: 1691000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (30\/12)\/((1*14\/4)\/7)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/170 - 5*p**4\/51 + 28*p**3\/51 - 24*p**2\/17 + 92*p. Solve j(i) = 0 for i.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8104 = -2*y - 4*s, -124*s + 127*s + 4037 = y. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -25*l**3 + 16*l**3 + 7 + 8*l**2 + 10*l**3 - 8*l. Suppose p = -2*p - 27. Determine b(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -402 + 0?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = r - 7*r. What is the greatest common factor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*f = -10, i + f = -i + 4. Let y be -4*i\/(-5)*(13 + -8). Solve -3 = y*r + 5*p, -4*r + p + 1 = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1733 - -1745. Solve 211*i + s = 215*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010 divided by -8\nAnswer: 505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**3\/8 + 7311*z**2\/8 - 17816907*z\/8 + 7298. Factor c(n).\nAnswer: -3*(n - 2437)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 + 382. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1001*d + 343309. Determine z(343).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 2268210.\nAnswer: 2\/75607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4580.133334 rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*330\/36*-2 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*t + 22*t + 14*t + 12*t + 31 in the form m + l*t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-12))\/((-14)\/56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -869499, -869484, -869465, -869442, -869415, -869384, -869349?\nAnswer: -869310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n + 20 = -17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itt. Give prob of sequence it.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 1 + x - 3*x)*(-1 - 3 + 5)*(5 + 1 - 3 - 1 - 2 + 0 + (-4 + 3 - 1)*(-5 + 6 - 3) + 0 - 1 - 1) in the form b + l*x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06335 + -0.13335. Let t = -3.5 + 3. What is the third biggest value in 0, t, b, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 6. Let l be z(8). What is the units digit of l - (-2*1 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -13*p. Let o(f) = 30566*f. Determine j(o(z)).\nAnswer: -397358*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 2, u: 1, o: 3, n: 3, w: 1}. Give prob of sequence un.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 730*j**4*q**3 - 4*j**3*q**2 + 1576*j**3 + 6*j**2*q**3 - 30294*j**2*q**2 + 3 wrt j.\nAnswer: 17520*j*q**3 - 24*q**2 + 9456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -22. Let n be 84\/16 + l\/8. Suppose 2*c = c + 15. Calculate the greatest common factor of c and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-2\/9))\/v*v*v)\/((v\/(v*v**(6\/11)*v))\/v))**(-8\/9)*(v**(3\/10)\/(v\/(v*v**(-1\/5)*v)))**32 assuming v is positive.\nAnswer: v**(139696\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 798, 1598, 2398?\n\"Answer: 800*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 22 = -82. Let c = -2 + t. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(78)*-3 + sqrt(78) + 6*(sqrt(78) + sqrt(78)*-2))\/(sqrt(12)\/sqrt(8) - sqrt(726)*1)*-5.\nAnswer: 80*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95004 and 630.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42 + 19\/6*j - 1\/6*j**2.\nAnswer: -(j - 28)*(j + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53479530 and 10530?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4880 divided by -61.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*q - 5421408 = -0*n, 0 = 5*n + q - 6776746. Suppose 0 = 4*b + 3*u - 11695994, 4*u = 3*b - n - 7416658. What is b rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 26. Calculate d(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfffsss. What is prob of picking 2 f and 2 s?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6051935261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*r - 4*h = -57*r - 41, 0 = 6*r + h - 89. Calculate the highest common factor of r and 1359.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 21. Let q(n) = -2. Let a(m) = -6*q(m) + u(m). Let w be a(-5). What is the second biggest value in w, 4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23697140 and 35545710.\nAnswer: 71091420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -24. Suppose n + 1 = -k*t + 6, 0 = -5*t + 2*n - 1. What is the remainder when 3 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-25))\/((-4)\/10))\/(-20*(-58)\/(-55100)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/29 (b) -0.1 (c) -62 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*q + q - 16 = 0, -2*c + 26 = 5*q. Suppose 5*w - c - 2 = 0. Solve 0 = -3*p + 15, -10 = -m + 5*m + w*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105080000 to the nearest 1000000.\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2556188*b**3 + 448949*b**2 - 2*b + 4 wrt b.\nAnswer: -15337128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1128 - -230. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwawwwwawwwwwwwwa. Give prob of sequence ww.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 891 + -885 + 4 + -1 + (5 - 2) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 3 + 0 - s**2 + 0*s + 3. Let q(d) = -d**3 + 3*d**2 - 3*d - 3. Let x be q(2). What is p(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:47 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.39026m to centimeters.\nAnswer: 7539.026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1579*r - 1570*r + 54 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 92*r = -89*r - 11, 5*r - 9 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78248?\nAnswer: 2, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose t*i + 5*k - 12 = 0, 5*i - 9 = 2*i - 3*k. Suppose 0 = 2*o + 3*r - 27, -24 = -0*o - 2*o - 4*r. Solve q = 4*a + o, a + 11 = 3*q + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-20)\/w**(-3\/17))**14 assuming w is positive.\nAnswer: w**(-4718\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 14) in base 12?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**3 - 18*i**2 - 31*i - 1 + 3 + 3*i**3 - 8*i**3 wrt i.\nAnswer: 12*i - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 815 + -2446\/3. Let m = 2.8 - 3. Which is the closest to 2\/9? (a) z (b) m (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -0.1, -0.4, 3\/5, -2, 174\/25?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9057 + 21937. Round m to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 1. Let b(m) = -5*m + 4. Let n = -609 - -611. Calculate n*b(r) + 6*w(r).\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16625 (base 7) to base 3\nAnswer: -20112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*r + 18 + 116 = 0, -4*r = -5*x + 583. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 + (-16524)\/(-14). Suppose -q + n = 4*q. Suppose -4*c - 60 = -q. What is the greatest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 8. Let r(h) = -h**3 + 9*h**2 - 9*h + 3. Let d be r(j). Let v be (1\/2)\/((-9)\/6). What is the closest to v in d, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 1 + 1)*(2*w + 0 + 0)*(8*w - 6*w + 7*w) to the form r + n*w + z*w**2 + a*w**3 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/7 + 96*i\/7 + 6912\/7.\nAnswer: -(i - 144)*(i + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*o + 40*o - 76*o - 33*o.\nAnswer: -261*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 23. Let p be 3 - (-5)\/(-3) - 4\/(-6). Let u be -4 + p - -29*1. What is the highest common factor of o and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167 (base 13) to base 16.\nAnswer: -fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 3)\/((-11)\/55). Let n(r) = 7*r. Let b(w) = -22*w. Calculate c*b(h) - 16*n(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 35 = 608*h - 613*h, -4*h + 3*k = -28 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v**4 + 118*v**3 - 174*v**2 - 220*v + 64 = 0. What is v?\nAnswer: -16, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122.27 + 121. Round i to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4477 divided by -68\nAnswer: 4477\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/520 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 52, 3.6, 5 in descending order.\nAnswer: 52, 5, 3.6, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 89, 118, 167, 242?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-3)*693\/14. Let g = -145 - w. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 6*o + 10. Calculate b(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*z - 14 = 0, -6*z = -4*d - 2*z + 16. Solve -3*m = j + 4, -m = 4*m - d*j + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 4*g**3 - 127 + 25 + 8.\nAnswer: -4*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 956*x - 124777. Give q(-156).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -87*h**2 + 5*h. Let r(d) = 43*d**2 - 2*d. Let u(k) = 2*m(k) + 5*r(k). Let o(y) = -y**2. Calculate o(u(z)).\nAnswer: -1681*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 22*i - 67. Let y be n(20). Which is bigger: -108 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 3, f: 5, p: 2, m: 1}. Give prob of picking 1 a, 1 l, 1 f, and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**2 - s - 2. Let d be u(-1). Let b(x) = x**3 - 4*x**2. Calculate b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280984 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2446, 4927, 7442, 9991?\nAnswer: 12574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18 + (-37)\/6 + (-4)\/(-24) + 5. Let i(d) = -d**3 - 19*d**2 - 3*d - 40. What is i(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -79, -178, -369, -682, -1147?\n\"Answer: -5*j**3 - j**2 + j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2321.048 - -2350. Let c = a + 0.048. Let s = 29.0000044 - c. Round s to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 679992118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 3*q**2 - 5*q - 3. Let m be o(-3). Suppose 4*w + 2 = m. List the prime factors of 10\/(-15) - w\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by -9*6\/(-9) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3476.37 - -3454. What is g rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23027*h + 23022*h + 18 = n, 7*n - 5*h - 326 = 0 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 36?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) -15 (b) -3\/4 (c) 2\/7 (d) -1863 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 500, 0, 5, -4.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 33*n + 16*n + 17*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a + 28. What is h(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:01 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 14064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0.3, -0.09, -2\/43, 12 in increasing order.\nAnswer: -4\/7, -0.09, -2\/43, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -16) + 21 - (-116 + 148).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.52? (a) -7 (b) 1\/2 (c) 2292\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43407.\nAnswer: 3, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**2 + 29*d + 88. Give c(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3695244?\nAnswer: 2, 3, 7, 43991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7352800369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 4 (c) 35026 (d) -15 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868759 equal to 1868756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + s = -3, 12 = -5*s + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1080 - -2247. Let w be (t\/(-15))\/(11\/(-55)). Round w to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.307 rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3917 + 6397. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 + 126. Calculate the common denominator of w\/110 + 323\/30 and 17\/(-12)*18\/(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5375 and 3290876.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*h - 108*h - 164*h + 11880 = 134*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15759 - 15671. Calculate the smallest common multiple of 112 and o.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194401071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 19341666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 1997 - 2447 = 0 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 880856889 and 1089.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230133 (base 5) to base 6.\nAnswer: 101452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.02 (b) -2\/15 (c) -5 (d) 5 (e) -8\/3 (f) -0.4 (g) 2\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1295*z - 581. What are the prime factors of n(6)?\nAnswer: 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 67340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknnknkk. Give prob of picking 2 k and 1 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2013679491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 6750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -1237, -2721, -4789, -7435, -10653?\nAnswer: -14437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-15) - 13\/(-3). Let x(o) = -o**2 + 4. Let f be x(0). Let d = f - j. Round d to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10347, -1, -5 in decreasing order.\nAnswer: -1, -5, -10347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 377.00863 + -377. Let u = z - 0.009. What is u rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -490 + 524. Solve 0 = 32*b - n*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-109 - -90 - (-1 - -37))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -477 + -3?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-178)\/(-44))*(-11)\/((-99)\/(-18))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -64 + -512 + 571?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 213, 3 in increasing order.\nAnswer: -7, 0, 3, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -790, -1203, -1632, -2083, -2562, -3075?\nAnswer: -3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from wwe.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2. Let w(x) be the first derivative of -240*x**2 - 2*x - 4878. Calculate l(w(a)).\nAnswer: -921600*a**2 - 7680*a - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 + 5*a + 19. What is the remainder when w(6) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*y - y - 14 = 0, 3*v + 5*y + 14 = 0. Let m = v + 5. Suppose 3*k + 89 = m*u - 9, u - 75 = -5*k. What is the highest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -198485, -203751, -209029, -214325, -219645, -224995?\n\"Answer: -f**3 - 5259*f - 193225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snsn when four letters picked without replacement from {p: 5, s: 12, n: 2}?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000224733697 rounded to six decimal places?\nAnswer: -0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3941 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 44897?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*x + 2*x - 44, -3*t = -5*x + 72. Calculate the highest common factor of x and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2. Let i(b) be the second derivative of -b**3 - b**2\/2 - 5*b - 16. Calculate i(c(j)).\nAnswer: 24*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 5*n**2 + 17*n**2 + 6*n**2.\nAnswer: 18*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cssazassssszscszsaz. What is prob of picking 1 a and 3 z?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:30 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*s - 53*s + 3*a + 28 = 0, -a - 70 = 5*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005496287 to seven decimal places.\nAnswer: 0.0005496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3514572 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: Expand 6*g - 4*g - g + (58 - 31 - 24)*(2 + 2*g - 2).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490777572 by -4.\nAnswer: -122694393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m + 19 - 43. Suppose 0 = 3*u + 2*k - 199, m*k + 12 = -0*k. What is the remainder when 203 is divided by u?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232 + 929\/4. Find a such that -1\/4 - z*a**3 + 1\/4*a + 1\/4*a**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 + 3 = 0. What are the prime factors of (-92)\/(g + -4) + 2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 338\/11 and 31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/8 - 17*i**3\/6 + 3*i**2. Let h be z(7). Suppose h*c + 65 = 5*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/13 - 13833306*j\/13 + 27666620\/13 = 0. Calculate j.\nAnswer: -6916655, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5 - 7*v**3 + 2*v**2 + 12*v - 8 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -31*z**3 - 138*z**2 - 101*z - 173. Calculate u(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 4*n + 4. Let a be t(-4). Let x(r) = -12*r - 1 - 6 - 33*r**2 + 32*r**2. Let z be x(-8). Solve w = -a*w - z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 6, h: 5, k: 2, j: 2}. What is prob of sequence bhsj?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14254977391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350127127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -10661\nAnswer: -1\/10661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807416?\nAnswer: 2, 100927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**29)**48\/((x**(11\/6)*x)\/((x*x\/x**(-34))\/x*x*x)))**(-29) assuming x is positive.\nAnswer: x**(-248153\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/105 - 499*n**4\/42 + 332*n**3\/7 - 1780*n**2. Factor d(j).\nAnswer: 4*(j - 498)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -596*r + 3*r**3 + 36 - 361*r**2 + 1183*r - 580*r wrt r.\nAnswer: 18*r - 722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 5 = -3*q. Suppose z = -z + 10. What is the remainder when q is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7886133, -7886144, -7886155?\nAnswer: -7886166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - 4*x + 3*x)*((2 + 0 + 0)*(-4 + 1 + 2) - 1 - 1 + 3) as b + f*x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12238, 24580, 37002, 49498, 62062, 74688, 87370, 100102?\n\"Answer: -n**3 + 46*n**2 + 12211*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/11))\/s)**(3\/11) assuming s is positive.\nAnswer: s**(3\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 244740 and 5420.\nAnswer: 66324540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1370102, -1370101, -1370100, -1370099, -1370098?\nAnswer: -1370097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 9*r**2 + r - 5. Let p be 8 - ((3 - 3) + -1). Let q be w(p). Let l(x) = -2*x - 1. Let g be l(-2). Put q, -3, g in descending order.\nAnswer: q, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4891105.8 microseconds?\nAnswer: 0.0013586405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/7 greater than or equal to 0.001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 227759957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/12 - 5*w. Let u be -2 + (4 - (0 - -1)). Let a = 7 + -1. Let v(s) = -8*s**2 + s. Give a*z(j) + u*v(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(99\/88). Is 0 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 10. Suppose 0*t - 4*t + 16 = 0. Suppose -4*s + 2*d - 11 = 5*d, 0 = s + t*d - 7. What is the smallest value in 5, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -3*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {f: 5, l: 15}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 546663870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -74383?\nAnswer: -74388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -188205?\nAnswer: -188202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68257521 is divided by 22752497.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*u - 11*u - 8*u + 6*u)*(77*u**3 - 1173*u**2 + 2347*u**2 - 1169*u**2).\nAnswer: -3542*u**4 - 230*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:25 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -f - 0*f. Let r = 12 - f. Find h such that 0*h + 24*h**3 + 4*h**5 + 4*h + 9*h**2 + 7*h**2 + 16*h**r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 22 + 0)*(-3*v + 5*v + 9*v)*(-v + 1 - 1 + (-3 + 0 + 4)*(v + 2*v - 4*v)).\nAnswer: -242*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -564, -573, -590, -615, -648, -689, -738?\n\"Answer: -4*i**2 + 3*i - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286116*u - 337 + 337 - 286114*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -20. Let a be 16\/(-21) - (-10)\/f. What is the smallest value in -4\/3, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3) + ((-200)\/(-6))\/(-20). Suppose 3*m + 2*m = 10. Let w be (m\/3)\/((-2)\/(-12)). What is the nearest to f in -2, w, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -6, 4, -124, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 987*d**2 - 1030*d**2 - 3 + 0.\nAnswer: -43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7228 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -579 + 581. Solve 4*i = -4*f - i - 7, 4*f = b*i + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1700) - (sqrt(1700) + (sqrt(1700) + -2)*4)) - (sqrt(68) + (2 + -1*sqrt(68) - sqrt(68)) + sqrt(68) - 3*-1*sqrt(68)))**2.\nAnswer: -23400*sqrt(17) + 933352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/24 + (-303)\/480 and 45623\/(-8772) - (-2)\/17.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1397, -2621, -3839, -5051, -6257, -7457, -8651?\n\"Answer: 3*o**2 - 1233*o - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1264388687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-3)\/(-3)*((-897)\/81 + 11))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 + 21 + 20)*(-5*d + 2*d + 5*d) as n*d + b and give n.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44807.43 millilitres to litres.\nAnswer: 44.80743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*2080\nAnswer: -6240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*d**2 - 65*d**2 - 8098 + 2*d**2 - 2*d + 8*d**2 + 9*d**2 to the form i*d**2 + u + k*d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16199752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 347580 and 434475?\nAnswer: 1737900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -288.3 (c) 6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = 30*w - 419. Solve w*g = 30 + 33 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5463915, -10927828, -16391743, -21855660, -27319579, -32783500, -38247423?\nAnswer: -43711348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 101. Let z = 8739\/8078 - 6\/577. Find the common denominator of z and o\/(-20) + 0\/1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.1, -1\/6, -85\/6, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3304.8871 rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -13 - -2 - (0 + -5 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 42 + 0\/2. Let i be ((-48)\/(-10))\/(-6) + (-102)\/(-15). Calculate the highest common divisor of i and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 l when three letters picked without replacement from {l: 1, o: 1, g: 1, s: 1, c: 6, b: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/93 and 23\/1767.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -15, 58 = 2*v + r - 3*r. What is the remainder when 143 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-315)\/126*48\/(-10). Suppose -2*q = q - 105. Suppose 0 = 3*x + 2*p - q, x + p - k = -0. Solve -x = -3*s - 2, -r - 9 = -4*s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*(1 - (6 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a3 - 3a?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1)\/((-4)\/352). Let q(b) = -26*b + 34. Let l be q(-3). Suppose -6*i - l = -20*i. Calculate the greatest common factor of y and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2027, -2028, -2029, -2030, -2031?\nAnswer: -2032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/y**(2\/33)*y**(-7\/4)\/y**14)**(-27) assuming y is positive.\nAnswer: y**(10467\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 2.98 * -4005.1\nAnswer: -11935.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 149 - 4*(3 - 2). Suppose 2*n - m = n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 75. What is the hundreds digit of (-8)\/(16\/y) - -110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**2 + 23*h - 600*h**4 + 13*h**2 - 8*h**2 - 238*h**4 - 13*h**2 wrt h?\nAnswer: -20112*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 > -163\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 1 + 1)*(1 + 1 - 3) + (5 - 3 - 1)*(-4*y + 2*y + 3*y) + (-1 + 3 + 0)*(y - 3*y + 3*y) + 0*y - 3*y + 4*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 338922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1850 and 28959160.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 346 - 342. Solve -2*q = x - 3, 4*q - y*x - 24 = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 107496?\nAnswer: 322488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20307854.\nAnswer: 2, 7, 47, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131638*d**3 + 512672*d**2.\nAnswer: -789828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 103 = -101. Let x(d) = 8*d**2 - d - 5. Let v(b) = 29*b**2 - 9*b - 14. Let s(q) = -q**2 + q. Let u(g) = 6*s(g) + v(g). Calculate h*x(p) - 6*u(p).\nAnswer: -2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*k = 5*k + 45, 0 = -3*k + 3. Let m = -3.1 - -3. Let p = -83682 + 83677. Which is the closest to -0.1? (a) w (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 7*o**2 + 7*o - 5. Let g be h(-8). Suppose l - 20 = -g*l. Solve 5*j = 2*n - l, n = -4*n - 2*j - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3382*y**3 - 21*y**2 - 83*y + 10. Let l(w) = 3381*w**3 - 18*w**2 - 81*w + 9. Let g(a) = 7*l(a) - 6*m(a). What is the second derivative of g(f) wrt f?\nAnswer: 20250*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*z**5 + 1347 - 1347 - 4*z + (0 + z**4 + 0)*(2*z + 3*z - 3*z).\nAnswer: 77*z**5 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, -10, 0, -1, 5.\nAnswer: -10, -2, -1, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 25. Let x = 4 + n. Let m be 4 + 14\/(112\/(-36)). Which is bigger: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.3 (c) 30 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {p: 14, z: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/112*4\/(-33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**3 - 3*t**2 - 11*t + 5. Is r(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1518228 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j**3 - 2*j**2 - 4*j - 2437. Give x(0).\nAnswer: -2437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 74*f = -26*f + 1144. Solve -1 = -v + 2*t, -5*t - 2 = f*v - 14*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 16233\nAnswer: 6493.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 5. Suppose 2*g - 87 = -3*p + 235, -5*p - 338 = -2*g. Let x = -155 + g. Give w(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*21\/(-2). Let s = 15 + p. Let z = 35 + -26. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200*o**3*q**2 + o**3*q - 84472*o*q - 26*q**2 wrt q?\nAnswer: -400*o**3 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 76274, 305581, 687954, 1223399, 1911922, 2753529, 3748226, 4896019?\n\"Answer: z**3 + 76527*z**2 - 281*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - (13 + -6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*3*4.\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-4\/11)*m**12\/m)**(6\/19)\/(((m*m**(4\/3)*m)\/m*m)\/m**(2\/15)*((m\/(m\/(m**(-7)*m)*m))\/m*m)\/m*m\/m**(2\/15)) assuming m is positive.\nAnswer: m**(24571\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = d - 17. Let h(y) = 1524 - y**3 + 0*y**3 - y + 6*y**2 - 1532 + 2*y**2 - 5*y. Give h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w = 49*w - 150 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/(f*f**(-6))*(f\/(f*f**(-2\/5)))**24)\/((f**1)**4*(f**(-1\/13)\/f)\/(f**(1\/6)*f)) assuming f is positive.\nAnswer: f**(3449\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -8*o - 14, 295*z - 3*o = 296*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/46033994 and 33\/15910?\nAnswer: 230169970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 119*q**2 + 124*q - 139. Is l(-115) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 8\/11, 15.\nAnswer: 8\/11, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) -0.3 (c) 7006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -110 and -0.5?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -8 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 2:35 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7889084 is divided by 3944541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5290 + 5317. Solve 52*t - o - 233 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-100)\/6)*(1088\/51 - 21)?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66202 and 71258.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 179, 750, 1709, 3062, 4815?\n\"Answer: j**3 + 188*j**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.109811 or -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v - 19. Let y be s(-5). Let k be (11\/2)\/(y\/60). Let b = 91 - k. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -7 + 25\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**8*f))**(-27) assuming f is positive.\nAnswer: f**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/22 and 63\/14800?\nAnswer: 162800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -4. Let c be (-87)\/r*(-1 + -4). Calculate the highest common divisor of c and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -23. Suppose -k = -0*y - y. Solve 3*o = -3*t + 6*o + y, 0 = 3*t - 2*o - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -650*f**2 + 144*f**2 + 528*f**2 - 126*f to the form p + a*f**2 + x*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11837054 or 11837053?\nAnswer: 11837054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + (-342)\/(-27))*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u + 6. Let q be n(-7). Suppose -x = 3*l - 2*l + 1, 0 = 4*x + q. Suppose -l*r = -9*r. Which is greater: r or -1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + (-13)\/((-273)\/322). Let g = 13 - 19. Let d = -5 - g. Are m and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9899542t?\nAnswer: 989954200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 1 + 1 + (-2*o - 4*o + 4*o)*(-3 + 2 - 6).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 521\/4593?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*f = 34, 0 = 4*d + 3*f - 36. Let z be (45\/(-6))\/(d\/16). Let y be -1*(-12)\/z - 0. Which is the second biggest value? (a) y (b) -4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*s - 19 = -137*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 905*k**2 - 14. Let w(l) = -19910*l**2 + 315. What is 45*u(n) + 2*w(n)?\nAnswer: 905*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -605\/3, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 242 - 240. Which is the biggest value? (a) -0.33 (b) f (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 56*t**3\/3 + 5*t**2 + 22*t. Let n be d(-5). Does 36 divide n\/4*96\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/5 in 1, -2\/22577, 5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 57 + 209 = 4*g, 2*n - 84 = -2*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234001233 (base 5) in base 7?\nAnswer: 12110533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -117, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 + 49*g**2 + 0*g**2)*(2*g**2 + 0 + 0 + g + g**2 - g + (-2*g - 2*g + 2*g)*(-5 + g + 5)) as b*g + i*g**2 + z + y*g**3 + h*g**4 and give h.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69\/7*p**2 + 3 + 9\/7*p**3 + 39\/7*p.\nAnswer: 3*(p - 7)*(p - 1)*(3*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3237956398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321001021 (base 4) in base 14?\nAnswer: 15a26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 121\/498 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405917.3um to nanometers.\nAnswer: 405917300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 22*y**2 - 11. Suppose 5*c + 104 + 6 = 0. Let d be n(c). Is d > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6 - 20*r + 17 - 8. Let x(t) = -7*t + 1. Let w(o) = -6*c(o) + 17*x(o). What is w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -0.07, 0.64, 0.4, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 58*k + k**2 + 466 + 452 - 918.\nAnswer: k**2 - 52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1009272 and 1320?\nAnswer: 5046360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13*j**2 + j - 9. Give h(-3).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 - 26 - 12*k + 17 + 2*k**2 + k**3. Let p be o(-9). Suppose 0 = 17*b - p*b + 1050. What is b rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.1. Let c = 6.29 + -0.29. Sort c, -0.4, l in descending order.\nAnswer: c, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 + 20*t**4 - 25*t**3 - 80*t**2 + 84*t = 0 for t.\nAnswer: -21, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 + 3*n**2 + n + 5. Suppose 2*q = 21 - 7. Let i(s) = -4*s**3 - 4*s**2 - s - 7. Calculate q*b(u) + 5*i(u).\nAnswer: u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -6, -0.02, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79438 is divided by 2141.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((84\/16)\/(-7)). Suppose -s*v + 5*d + 32 = 0, -5*d - 2 - 18 = 0. Find the second derivative of 14*t**3 + 6*t - 12*t**3 - 11*t**4 - 2*t**v wrt t.\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-30)*(1 + -1). Suppose -117 = m - l*m. Let w be (-325)\/m - (-4)\/18. Let j(z) = z**3 - 2*z**2 - 4*z - 1. Determine j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times 33060.5?\nAnswer: 2082811.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55246*l**2 - 7494*l?\nAnswer: -110492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h. Let u(m) be the third derivative of -3*m**5\/20 - 26*m**2 + 9. Determine u(r(z)).\nAnswer: -1089*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 9*w**2 + 2*w + 2. Let f be l(-1). Let s = f + 74. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 8, -1 in increasing order.\nAnswer: -5, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.151568 to 2 decimal places.\nAnswer: -4.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhphiqm. Give prob of sequence hn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*g + 177 = 3523 + 7868 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from 8678.6688055696.\nAnswer: 8690.6688055696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -125*v + 125*v + 55*v**4 - 5 - v**4 + 5 + (5*v - v - 2*v)*(-3 + v**3 + 3) + v**4 - 2*v**4 + 0*v**4 + v - v + 2*v**4.\nAnswer: 57*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -5553.4.\nAnswer: -11106.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (202\/(-98) + 2)\/(5831\/(-3332) + (-74)\/(-56))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 5*s**4\/2 - 9*s**2\/2 - 5. Find the second derivative of a(u) wrt u.\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 9*k**2 - 18*k. Let z(t) = -t**3 - 8*t**2 + 18*t + 2. Let o(c) = 3*q(c) + 4*z(c). What is the units digit of o(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 = 3*s - 2063. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 9. Suppose g*a = 21 + 119. Which is smaller: 26 or a?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from pkekk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 7:47 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.05, -1\/8, 1\/2299, 1, -3, 0.6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000531728 to seven dps.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 + 0*r**4 - 4*r**4)*(1 + r - 1) + (-3*r**3 + 5*r**3 + 0*r**3)*(7*r - 7*r - r**2) + (8*r**3 + 5*r**2 - 5*r**2)*(33 - 33 - 19*r**2).\nAnswer: -155*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22010110 + -12?\nAnswer: -22010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71549, -143244, -214939, -286634, -358329?\nAnswer: -430024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 83386c (base 13) to base 15\nAnswer: 407d0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 6*q**4 - 38*q**3 + 46*q**2 + 38*q - 52 = 0.\nAnswer: -1, 1, 2, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - b**2)*((4*b + 3 - 3)*(3 - 2 - 3) + 0*b + 2*b + 0*b - 21 + 21 - 20*b).\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 - 1 - 2341*b**4 - 2322*b**4 + 4658*b**4 - 2*b**2 + 5*b in the form z*b**2 + s + d*b + j*b**4 + i*b**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*t + 48*t - 210. Round t to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 3. Let c(h) be the second derivative of -h**5\/120 + h**4\/12 - h**3 + 2*h. Let f(a) be the second derivative of c(a). Calculate 4*f(v) - 3*z(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563089.\nAnswer: 139, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 0.1, 2\/5, -6\/13, 16.8, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -9) + (28 - 28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**3)**50\/(d*d\/(d\/(d**(3\/11)\/d))*d**(12\/5)))**(1\/6))**(-3\/22) assuming d is positive.\nAnswer: d**(-10853\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.9468 - -2.0531. Let k = 17.8482 - -0.1518. Let d = k - x. What is d rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589805431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(11) + -1 + -5.\nAnswer: -6 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41a - -417?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -27*o - 125. Let k be b(-5). Sort k, -5, 3 in decreasing order.\nAnswer: k, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027664096 to 4 dps.\nAnswer: 0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l. Let x(y) be the second derivative of y**3\/3 + 26*y. What is h(x(u))?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 20 = 0. Suppose 2*k + 3*k = p. Suppose -5*v**2 + v**4 + 5*v**k + 7*v**2 - 2*v**5 - 6*v**3 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.14.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -9. Let g = 5.9 - v. Put -3, 5, g in ascending order.\nAnswer: -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -2 (b) 2 (c) -194\/41 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 309*t**2 + 1841*t - 8. Calculate the remainder when i(-6) is divided by 150.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 23839343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-13)*1)\/((-7)\/(-21)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5763538399440 take away -0.1?\nAnswer: -5763538399439.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 77181*r - 231528. Determine f(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus -8710.02778056?\nAnswer: 8723.02778056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 65, -27\/13, -3, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (2 + -3) - (-32 - (-1 - 14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.691.\nAnswer: 0.2073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 3. Calculate the highest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.133 * 1.3\nAnswer: -0.1729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -3\/2*y**2 + 1\/36*y**4 - 125*y + 4\/9*y**3 + 0. Factor d(h).\nAnswer: (h - 1)*(h + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556451049?\nAnswer: 3, 7, 11, 218989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168685?\nAnswer: 5, 7, 33391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - z = -14*w + 7, -5*w + 16 = -z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-30)*36\/2. Suppose 0 = -d*m + m. Factor 1\/4*v**2 + m - 1\/2*v.\nAnswer: v*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/161*(26\/(-10) + (-6908)\/(-2355))?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 11) + 33 + -8 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 13) to base 3\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 257786429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/11 - 2*a**3\/11 + 16*a**2\/11 + 24*a\/11 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 855259355 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-13)\/(-3))*((-1060)\/40 - -16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -3*i**4\/8 + i**2. Let y(q) be the first derivative of q**2\/2 - 1029. What is r(y(c))?\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d = 42*d - 26*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381349, -381287, -381231, -381181, -381137?\nAnswer: -381099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.98 - 13.209. Let c = 1.67096 - w. Let d = 0.1 + c. What is d rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5592525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1744*h**3 + 1748*h**3 - 4*h**2 - 4 - 3*h to the form j*h**3 + f*h + g*h**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*c. Suppose 2*q + 5*g = -31, c = -q - 0*g + 4*g + 17. Is q < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12652 + -12651.6. What is the fourth biggest value in b, -606, 0.1, 1\/3?\nAnswer: -606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frr when three letters picked without replacement from {r: 3, j: 1, y: 5, f: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(((s**(3\/11)*s)\/s)\/s)*s))\/s**(2\/49))\/(s*s*s*s\/(s*s**(-1\/6)\/s))**(-7\/4) assuming s is positive.\nAnswer: s**(84389\/12936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24004*f - 24009*f = -4*t + 138, -2*t + 54 = 5*f for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 13 = 3*a, -232*r + 235*r = a + 19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 - (-6 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 10*n**2 - 6*n + 13. Calculate the remainder when z(-10) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -15948053\nAnswer: -4\/15948053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 7*g**2 + 3*g + 2. Let w(p) = 2*p**3 + 13*p**2 - 5*p - 5. What is -5*c(x) - 3*w(x)?\nAnswer: -x**3 - 4*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15145681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 952 + -4741\/5. Let t = -166\/45 + v. Solve -t*h**3 + 2\/9*h**2 - 1\/9*h + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2589853.\nAnswer: 7, 369979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + 4 - (-3 - 3 - -16)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - -8) + 66 - 66.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.70677 - 79386?\nAnswer: -79365.29323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149794, 149771, 149748, 149725?\n\"Answer: -23*f + 149817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k - 2. Let g(z) = -28*z - 7. Let b(u) = 2*g(u) - 7*p(u). Let s(n) = -n. Calculate s(b(y)).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.17, -4, 5, -1, 280?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzmzkzzmkmkmkkkm. Give prob of picking 4 m.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -322980912 + 614.\nAnswer: -322980298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + 0. Let h = j + -0.12. What is the nearest to 1 in h, 1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768762329 and 562.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -344*w + 343*w - 317, -w = 5*t - 412. What is the greatest common factor of 621 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*y - 800 = 88*y. Find the common denominator of -44\/27 and 112\/y*(-115)\/12.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16624*p**2 + 11 + 17*p - 5*p - 16625*p**2 + (1 - 1 - 2*p)*(0*p + 0*p + 2*p) + p**2 + 0*p**2 + 0*p**2.\nAnswer: -4*p**2 + 12*p + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -14 + -21 - (0 + -18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 9*f + 10. Let y be j(-7). Let k be y\/(-6) + (-2)\/(-6). Sort -4, -2, k in ascending order.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - -1.98. Let j = 2 - 3. Let x = -0.2 + 0.2. Which is the nearest to x? (a) d (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57997*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*j + 4*j + 8*j - 6)*(3*j - j - j + (-2 - 2*j + 2)*(3 - 4 + 0) - 3 + 2*j + 3 + 2*j - 3*j + 3*j + 35 - 35 - 9*j).\nAnswer: 22*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 20. Solve 2*z = 5*s - p, -z - 1 = -0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1905*p - 2*p**2 - 1905*p - 63.\nAnswer: -2*p**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 11*f - 10. What is the units digit of t(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let u(r) = 7 - 6 - 1 - 4*r - 3. Let j(t) = t + 1. Let h(k) = -k - 1. Let s(q) = -2*h(q) - j(q). Let m(p) = 3*s(p) + u(p). Determine n(m(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1624 and 4123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/15450588 and 47\/108.\nAnswer: 15450588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(4\/5)\/q*q)\/q)\/(q\/(((q**(2\/9)\/q)\/q)\/q)))\/(q**(14\/5))**(-27) assuming q is positive.\nAnswer: q**(3223\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 0*c**3 + 2380*c**2 - 2364*c**2 + c**3 to the form x*c**3 + v + h*c + n*c**2 and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 286711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, y: 4, q: 2, x: 1, l: 1, n: 2}. What is prob of picking 1 x, 1 u, and 2 n?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*y + 476*y + 1068*y.\nAnswer: 1620*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**2 + 4*h**3 - 11*h + 6*h**2 - h**2 to the form c*h**3 + k*h + y + i*h**2 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 22. Let i be 2705\/(-50)*2 + (-1)\/s. Let z = -24 - i. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23183 and 1920365.\nAnswer: 186275405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(-2\/7))**(2\/11)*(j\/((j**(5\/3)\/j)\/j))\/(j**3*j) assuming j is positive.\nAnswer: j**(-478\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -7\/30*y**6 + 0*y**3 - 1 - 1\/6*y**4 + 0*y**2 - 9\/20*y**5 + y. Let b(r) be the first derivative of k(r). Factor b(j).\nAnswer: -j**2*(j + 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 34*u**2 + 3*u - 3. Suppose 5*j + 5*i = 15, -j - 2*j = 4*i - 11. Calculate the remainder when b(j) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13740 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 1. Calculate the remainder when 299 is divided by y(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1))\/(4\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -13*i + 0*i**4 + 0 + 6\/5*i**5 - 11\/6*i**3 + 0*i**2. What is the second derivative of o(j) wrt j?\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 247 + -2219\/9. Let m be (-100)\/270*3\/(-5). Factor -m*u**2 + k - 2\/9*u.\nAnswer: -2*(u - 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1462 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 - 120. Suppose 3*k = 4*i - 820, -y*i = -i - 5*k - 820. List the prime factors of i.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -445772217 - -147.54\nAnswer: -445772069.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 6*v. Let c = 11 + -5. Let j be i(c). Suppose 3*f = -6, -2*u + 6*u + 2*f - 8 = 0. Solve j*k = -k - u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11028 is divided by 398.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -912, -1, -9, 25 in decreasing order.\nAnswer: 25, 13, -1, -9, -912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1360398079 to the nearest integer?\nAnswer: 36884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w + 7. Let p be 27\/36*(-8)\/3*(-39)\/26. Let d(m) = -1. What is p*z(u) + 21*d(u)?\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3023, 25229, 85509, 202901, 396443, 685173, 1088129, 1624349?\nAnswer: 2312871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 76021 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216897.\nAnswer: 3, 197, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2903 = -231*o + 284 - 1308 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13486456 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/12*(-1 + 1). Let b(v) be the third derivative of 0*v**3 + 0*v**5 + 1\/105*v**7 - 2*v**2 - 1\/60*v**6 + 0*v + o + 0*v**4. Let b(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -179. Suppose 48*q = 51*q - f. Solve -3*y = w - 6, 2*y = -w - 4*w - q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15930 is divided by 15574.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyaazautatu. What is prob of sequence tz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 124*z**2 - 113*z - 1511. Determine b(125).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - e4a?\nAnswer: -e4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 = -2*p + 4, -3*p + h + 15 = 0. Suppose -n - n + p = w, n = 3*w + 23. What are the prime factors of 12\/8*(-44)\/w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3\/7 - 688*j**2\/7 + 4236*j\/7 - 6408\/7 = 0. Calculate j.\nAnswer: -178, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:19 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 3*m - 69, 3*k = -4*m - 30. Let h(x) = -6*x + 30. Let u(l) = l - 6. What is k*h(r) + 11*u(r)?\nAnswer: -r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506260 is divided by 11501.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -11*q + 48. Let u = 17 - 19. What is the fourth biggest value in -2\/21, 5\/3, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-5) - -1) + 3. What is the units digit of 3 - (-12)\/2 - f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(10)\/sqrt(5)*3 + (sqrt(18)\/sqrt(9) + sqrt(2))*2 + 5 + -4)**2.\nAnswer: 28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.718 - -0.082. Let c = z + -27. Let w = 3.8 - c. What is the smallest value in w, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*((-5*((sqrt(1584) + (0 + sqrt(1584) - sqrt(1584)))*-1 + 2 - (2*sqrt(1584) + -5 - -2*(0 + sqrt(1584) - sqrt(1584)))))**2 + 2).\nAnswer: -75600*sqrt(11) + 2145767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -144 in -0.2, 0.2, 5\/3, 3\/5, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -51, -3, 666, -2, 1091.\nAnswer: -51, -3, -2, 2, 666, 1091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428299 a multiple of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 60 = 20*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 7, g: 2, y: 1, w: 2, j: 2}. What is prob of sequence gdj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 62.49 * 0.23\nAnswer: 14.3727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {z: 6, x: 3, j: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 - 28*m + 59. Let u(w) be the first derivative of -w**3 + 19*w**2\/2 - 39*w - 18. Let g(d) = 5*a(d) + 8*u(d). Is 17 a factor of g(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3486*h - 6729*h + 498*h - 944*h + 254*h)*(-h - h + h) to x*h + c + f*h**2 and give f.\nAnswer: 10407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**3 - 30*r**2 + 185*r - 150 = 0. Calculate r.\nAnswer: -10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 225*b**2 + 855*b - 13222. Give h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36130, -72079, -108028, -143977?\nAnswer: -179926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61416766119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.405 - 0.595. Put 1, q, 3\/7, 0 in increasing order.\nAnswer: q, 0, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 2*w + 85*w**3 + 2*w**2 + 4 + 2*w**4 - 87*w**3 to p*w + j*w**4 + v*w**2 + k*w**3 + u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/40 - 17*g**5\/30 - 3*g**4\/8 + 17*g**3\/6 + 114*g**2 - 3. Give w(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 47 (b) -6.94692 (c) 0.4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 259*p - 18*p**2 + 269*p - 533*p. Let b(i) = -3*i**2 - i. Let v(m) = -5*b(m) + y(m). Let f(d) = 58*d**2 - 2. Determine f(v(q)).\nAnswer: 522*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548, -1006, -1446, -1856, -2224, -2538, -2786, -2956?\nAnswer: -3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**2 - 932*z = 0.\nAnswer: -233, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p = 34*p - 650. Suppose 0 = 5*m - 4*k - k + p, 2*k = 3*m + 190. Let l = m + 119. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 + (15 - (-15 - (-21 - -13) - -11)) - 2.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*h = -4*h - 7, v - h = 1. Let k = v + 8. What is the least common multiple of k and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22\/5, 2\/27, -4?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 18*u**2 - 129*u - 91. Give b(-6).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 478.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 3\/2*q**3 + 11\/2*q**2 + 4*q.\nAnswer: (q + 2)**2*(3*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17628 and 1464684?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -827.\nAnswer: 3308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 2*b**3\/21 - 29*b**2\/7 + 48*b - 2442. Suppose k(x) = 0. Calculate x.\nAnswer: 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 50 = -0*l. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -52*a - 58*a - 2 + 98*a. Let k be 68\/(-18) - 4\/18. What is the units digit of p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7496, -7563, -7630?\nAnswer: -7697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10989 + -10989.3. Which is the fourth smallest value? (a) x (b) 0.1 (c) 100 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89718669 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4296785, 8593573, 12890363, 17187155, 21483949, 25780745, 30077543?\nAnswer: 34374343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81 - -21.55.\nAnswer: -59.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 - -98. Suppose s = 18*q - 2145 - 1149. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g + 22. Let d be w(21). Let l = d - -62. Suppose 6*v - 5*v - 105 = l. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*h**2*v**3 - 5*h**2*v - 2*h*v**5 - 243*h*v**2 + 95448*h wrt v.\nAnswer: 42*h**2*v - 40*h*v**3 - 486*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*t + 53958 = -159198 - 79836. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = d - 151, -16*h - 163 = -17*h + 5*d. What is the lowest common multiple of h and 33?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2328, -2329, -2332, -2337, -2344, -2353?\nAnswer: -2364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 10*a**2 + 4 + 0 - 2. What are the prime factors of p(11)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-44))\/(2\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 195*d + 24420. Give q(-126).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.30354 millennia in years?\nAnswer: 99303.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 17681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(204)*-1)\/sqrt(12))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -2 + (-2 - -1). Let n be ((-1)\/(-3))\/(1\/(-3)). What is the tens digit of 7*(b - -1)*n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584 - 4*w**2 - 584.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -698, -968, -1462, -2216, -3266?\n\"Answer: -6*m**3 - 76*m**2 - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1018 - -1506. What are the prime factors of b?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 2*h + 3*i, -h + 40 = 6*i - 2*i. Let q = 501 - 313. Suppose -q + h = -3*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 + 6*j**2 - j**2 + 7*j**2 to the form h*j**2 + n + l*j and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1940 divided by 4.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w - 4. Let h(n) = n - 1. Let u(m) = -10*m + 15. Let a(i) = 78*h(i) + 6*u(i). Let r(k) = 4*a(k) + 11*f(k). Find the first derivative of r(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 1\/2*u**2 + 3 + 1\/3*u**3 + 2*u. Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2389 + -7357\/3. Let z = x + 1819\/30. Find the common denominator of -47\/14 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 2 o when four letters picked without replacement from {l: 7, o: 2, h: 7, u: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1138, -1139, -1140, -1141, -1142?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 71 = -34. Is m <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 3, r: 6, o: 6}. What is prob of sequence jnj?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4876 + 107297\/22. What is the common denominator of v and -97\/86?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 36*c**2 - 78*c - 361. Determine o(-34).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 10 = 3*j, j - 10 + 20 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19884*m**3 - 11630 wrt m.\nAnswer: -59652*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 2*n)*(-1 - 1 - 4)*(-74 - 6*n**2 + 74 - 2*n + n**2 + 2*n + (0*n + 0*n - 2*n)*(n + 3*n - 3*n) + n - n**2 - n - 3*n**2 + 2*n**2 + 0*n**2).\nAnswer: 108*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13321186 divided by -46\nAnswer: -289591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505258?\nAnswer: 2, 13, 19433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14 - 37*g - 50 - 81 - 106 + 46. Let b be q(-5). Let m(x) = -x**2 + 10*x - 12. Calculate m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -101, -12, 245, 754, 1599, 2864, 4633?\n\"Answer: 14*i**3 - 9*i - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.9. Let s = 1.2 - z. Let g = 0.1 - s. Sort g, 4\/7, -2\/15 in decreasing order.\nAnswer: 4\/7, -2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113042160 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*g**3 - 2*g**2 - 2*g**4 - 134*g**3 + 273*g**3 + 6*g**2 = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/304 and -73\/266?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/5 (c) -24 (d) 1 (e) 2\/167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/10)\/((-2)\/(-4)) + 5. Solve 2*x - 3*x = -g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101880664 to the power of 1\/2, to the nearest integer?\nAnswer: 33195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913934 is divided by 603.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 608 + 378. Calculate the highest common factor of 34 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -24*a**2 + 869*a - 145. Calculate m(36).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {d: 2, w: 1, g: 1, v: 4, m: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 14*(-198)\/315?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)*-1 - sqrt(102))*3)\/(sqrt(384)*-2))**2.\nAnswer: 153\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*2785.9\nAnswer: -2785.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 333.809 + -334. Let s = -77.191 - o. Let a = s + 76.9967. What is a rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(73*o**4 + 25907*o**2 - 25907*o**2)*(-5 + 4 - 1).\nAnswer: -438*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - m**2 + 4*m - 1. Let y = 39 - 42. Let s be t(y). What is the lowest common multiple of 2 and ((-36)\/s)\/(4\/(-10))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(-8)\/56 + 1. Let 2*v**3 + 3*v**i + 163*v**4 + 3*v - 5*v**3 - 166*v**4 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from jbxbhbxjxj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1147, -1130, -1093, -1030, -935, -802, -625?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 539529*z + 1079066. What is d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**6\/30 + 3*k**5\/20 - 16*k**4\/3 + k**2\/2 + 108*k - 2. Find the third derivative of z(p) wrt p.\nAnswer: 24*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -576 - -2377. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 15, -3*f + 7*v - 14 = 6*v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6987 + -3940. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -0.049 (c) -4 (d) 1\/2 (e) -0.08967 (f) 1\/3 (g) -0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*h - 122*h + 18 = 0. Let g(p) = -51*p - 7. Let v(o) = 51*o + 8. Let d(j) = -4*g(j) - 3*v(j). What is the hundreds digit of d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -618550 + 132?\nAnswer: -618418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1763, 3441, 5119, 6797?\nAnswer: 8475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(1\/4)*t)\/t*t)\/t*t)**42\/(t\/(t**0*t))**(-7))**(1\/10) assuming t is positive.\nAnswer: t**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18168 + 4226. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**3 - r**2 + 2*r - 3. Calculate the remainder when 55 is divided by m(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/48*(-8)\/(-15)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1444 + -3?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1373*o + 24718. What is q(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**(-2))))\/(b*b**(-1\/4))*(b**(-1))**(2\/23) assuming b is positive.\nAnswer: b**(199\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 42, 38, 18, -24, -94?\n\"Answer: -r**3 + r**2 + 10*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 109400 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.218571 tonnes to milligrams.\nAnswer: 5218571000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98.9012 + 0.0988. Which is greater: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 3*j**2 - j + 2. Let f(k) = k**3 - k**2 - k + 1. Let w(g) = -3*f(g) + x(g). Let a be w(-2). Calculate the greatest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Suppose 2*f + 59 = n, -v*f + 4*n - 112 = 43. Let c = f + 68. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125316, -125299, -125282, -125265, -125248, -125231?\nAnswer: -125214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*h = -26000020, -3*m + 13000025 = -2*m + 5*h. What is m rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 26 = 3*i - 36, -5*i + 5*n + 10 = 0. Let q be -1*2*(-3 - -2). Let a be (0\/(1*-2))\/q. Sort a, -15, i in decreasing order.\nAnswer: i, a, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-105)\/(-27) + 8\/72. Solve p*u = -8, -4*t + 1 = -4*u + 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -7*i - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 3. Suppose -3*f - 4 + 3 = -x, f + 11 = -x. Let s = x - -11. What is m(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3599706, 7199718, 10799728, 14399736, 17999742, 21599746, 25199748?\nAnswer: 28799748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -201?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -711, -5496, -18487, -43788, -85503, -147736?\nAnswer: -234591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2359.\nAnswer: 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494813 = 8*u + 721346 + 426241. What is u rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 99 - 255c1?\nAnswer: -25525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/(268\/603)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = g + 13, -d - 3*g = -8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -484 < -484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -101. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375645 is divided by 12520?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w**3 + 5*w**2 - 5. Let g(a) = 2*a**2 + 5*a + 3. Let n(b) = b**3 + 2*b**2 + 6*b + 4. Let t(d) = 6*g(d) - 5*n(d). Calculate -5*t(q) + 2*u(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6850 and 128005?\nAnswer: 175366850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1409*i**3 + i**2 + 2*i + 1. Is q(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10))**(-9)\/(x**(2\/23)\/(x*x\/x**(14\/9)*x)))**(-12) assuming x is positive.\nAnswer: x**(-75644\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22413042*g**3 + 69430*g + 78 wrt g.\nAnswer: -134478252*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 21 - 17 - 18*v.\nAnswer: -18*v + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1099*m + 26630 = 24432 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = -35. Suppose -2*i - 2*s = -3*s + 6, 0 = -2*i - 3*s + 2. Let y be i\/g - (-1338)\/21. What is y rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -908400, -1816336, -2724272, -3632208, -4540144, -5448080?\nAnswer: -6356016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.41 - 13454832776.\nAnswer: -13454832761.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.1 (b) 3 (c) 56\/5 (d) -112 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 74*v**3 + v + 4. Let i(o) = -o**3 - o - 1. Give -f(k) - 3*i(k).\nAnswer: -71*k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*l, -f + 28 = -5*l + 1. Find the second derivative of -22*a**2 - a + 5 + 19*a**f - 5 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*l*m + 4*g*l - 2*g*m**2 - 2*g - 359*l*m**2 + 5*l wrt m.\nAnswer: -2*g*l - 4*g*m - 718*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 7. Let a be u(-7). Let z(s) = -s + 1. Let v be z(a). Let w be (-102)\/v + (3 - 3). Round w to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by 87845.\nAnswer: -192\/87845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/40*(-7)\/(-63).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543537529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 - (2 + 60\/(-1)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by (-22 - 0)*(-17)\/34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41771 - -33548?\nAnswer: 75430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8. Suppose -4*q + o*q = -40. Solve -4*c = -6*c + q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + h + 18 + h**3 + 47*h**2 + 15 to g*h**2 + j*h**3 + s*h + v and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-3) - 2*-1. Suppose j = 5*i - 3*i - r + 4, 3*r = 4*i + 10. Let y be 2\/6 + i\/(-1). What is the biggest value in y, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4)**47)**(-45) assuming j is positive.\nAnswer: j**(-8460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssjs when four letters picked without replacement from {s: 1, j: 9}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is (-177)\/(6*(-3)\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 53*c - 258. Let o = -6871 - -6876. Determine v(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 18414*p**2 - 24*p - 15804. Let d(x) = -3683*x**2 + 5*x + 3160. Let r(k) = 24*d(k) + 5*w(k). What is the first derivative of r(q) wrt q?\nAnswer: 7356*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*((-1)\/(-5) + -2). Let x = c + 4. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 19, 66, 149, 280?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**3 + 11*u**2 - 6*u. Let k(v) be the third derivative of -v**6\/24 + v**5\/6 - 5*v**4\/24 + 2893*v**2. Calculate -4*k(x) + 3*m(x).\nAnswer: 2*x**3 - 7*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttddttttt.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 0*s - 2\/15*s**3 - 3 + 2\/5*s**2. Determine z so that o(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = f - 66, 4 = -5*n - 6. Calculate the remainder when f is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2792)\/(-5) - 10\/25. Let r = k - 154. Does 55 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(2\/23)*f)\/f*f)\/(f**(4\/5)*f))**(-15) assuming f is positive.\nAnswer: f**(-99\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 7775992*c + 3779128224004.\nAnswer: 4*(c - 971999)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*o + 4. Let i(c) = -6*c + 8. Suppose 103 = 43*l - 42*l. Calculate the remainder when l is divided by i(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*k*l + 67*c**3*k - 3*c**3*l - 2*c**2*k*l - 7*c*l + 29*c wrt c.\nAnswer: 12*k*l + 402*k - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a - 10. Let b be d(15). Let i be (-2)\/(-1) + b\/7. Solve -3*r = -t + 1, 8*t + 2*r = 3*t + i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a day in minutes?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/12 - 3*j**3\/2 + 7*j**2 + 2*j - 3. Calculate n(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150244 (base 10) to base 5.\nAnswer: -14301434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*v - 2*v + 2 - 3*v + (-4 + 1 + 1)*(-6*v + v - 5*v))*(3*v**2 - 23*v**3 + 20*v**3 + v**2) in the form k*v + w*v**2 + c*v**3 + q*v**4 + x and give c.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 31*w + 36. Determine v(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 1400520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + d - 2*d)*(-28 + 28 - 31*d**4).\nAnswer: -186*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhshhhehhhhhs. Give prob of picking 1 e, 2 s, and 1 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.2 - 11. Let z = 0.2 + 0.8. What is the closest to z in 0.5, c, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241 - -1?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + (-12)\/(-8). Which is the nearest to h? (a) -4\/3 (b) -4\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235149221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110.7 - 139. Let r = s + 30. Let k = 1.6999982 - r. Round k to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -314 + 1080. Let h = f + -766.00347. Round h to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 307? (a) -93 (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.086885 years?\nAnswer: 0.03086885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5.9*0.3\nAnswer: 1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 14*s = -7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -17 + 5. Let f(y) = y + 1. Let o(z) be the second derivative of 3*z**2\/2 + z. Let k(i) = l*f(i) + o(i). Let w(a) = a**2. Determine w(k(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 443*n**5\/60 - 4*n**4 + 12*n**2 - 5*n. What is the second derivative of l(f) wrt f?\nAnswer: 886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = -5*j + 421. Suppose 4*l + 160 = -4*s, -2*s - j = -2*l - 56. Let z = 216 - s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a**2 + (-a + 2*a - 2*a)*(a + 1 - 1))*(8 + a**2 - 8).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.0309?\nAnswer: 0.1545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -3.96. Let f = 24 - 17. Let q = r + f. Which is the closest to 0? (a) 1 (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100.6 + 1929.087209?\nAnswer: 3029.687209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**18\/k*k)\/(k*k**(10\/9)*k) assuming k is positive.\nAnswer: k**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(-2 - (-5)\/2) - 830984\/29260?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2879 is divided by 448?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.75 + 1.74. Let m = -0.01 - s. Let y = m - 2. Is 0 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(459) + -1*sqrt(459) - sqrt(459))*-1)\/(sqrt(432) + 1*sqrt(432)*3).\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/12 + 22*j**3\/9 - 25*j**2\/6 - 46*j\/3 - 1015. Factor g(n).\nAnswer: (n - 2)*(n + 1)*(n + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -5*b - 5*f, -b - 3*b + 256 = -4*f. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -567066*c**2*x - 9*c**2 + 124*c*x - 48953*x wrt c?\nAnswer: -1134132*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Let t(h) = h**3 + 4*h**2 + 2*h + 6. Let g be t(x). Put 2, g, -1\/4 in descending order.\nAnswer: 2, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from rgwwwrgpwrp.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192*n**2*u**3 + 42*n*u**3 + 2*n*u**2 - 3*u**3 wrt n.\nAnswer: 384*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5806260 divided by -45\nAnswer: -129028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13180? (a) 0.1 (b) -65 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 t when three letters picked without replacement from {v: 1, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 328, 378, 452, 556, 696, 878?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 4*s**2 + 5*s + 2. Let z be c(-5). Suppose -z*a - 1 = -13. Suppose -4 - a = 2*k - 2*h, h = 4. Is -1 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*k = -27*d + 274*k - 553*k - 273, -2*k - 56 = 5*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*j - 527 = 2182 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**2 + 6*o - 12. What is the units digit of w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 5*b + 3. Let u be (-25)\/(-4) - 2\/8. What is f(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/120 - (-2)\/5. Suppose 2*a = -q + 20. Solve -h + a = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -13*f**5\/10 + f**4\/12 - f**3\/3 + 3*f**2 + f. Let s(r) = r**2 - 86*r + 1168. Let x be s(69). Is i(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(65)*1*-6)\/(sqrt(720)\/sqrt(9))*-4*-5.\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(17*n - 5*n + 14*n) + 26*n - 8*n - 1 - 11*n.\nAnswer: -45*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.912 - 60692620843.\nAnswer: -60692620840.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*c - 928, 0 = -4*z + z - c + 680. Let l be 4\/14 - z\/(-84). Suppose l*m = 12 + 15. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 315.9844 - -0.0156. Let p = x - 316.1. Put 0.3, -0.5, 2\/11, p in descending order.\nAnswer: 0.3, 2\/11, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/7)*a\/(a*a**(2\/3)))**(-9\/5)*(a**(-1))**(1\/64)*(a*a\/(a**(2\/7)*a*a))**(-1\/3) assuming a is positive.\nAnswer: a**(-41\/6720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 25*j**3 - 1. Let a(q) = -1913*q + 3836*q - 1921*q. What is a(k(d))?\nAnswer: 150*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 2:46 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 116*f**2 + 175*f + 6658. What is c(-117)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 177*g + 8. Let m = -98 + 101. Let c be p(m). Calculate the greatest common divisor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 5*a. Let y(u) = a*u - 6*u + 2*u. Let r(k) be the second derivative of 2*k**3\/3 + k**2\/2 + 16*k. Calculate -r(o) - 2*y(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:42 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -708666*t**4 + 10*t**3 - 6*t - 514766606 with respect to t.\nAnswer: -2834664*t**3 + 30*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/44 - (-7 - 1911\/(-308)). Let q = -2 + -2. Sort u, q, -1\/2 in descending order.\nAnswer: u, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 35*r**2 + r - 37. Let a be z(35). Let j(u) = u**2 + 6*u + 3. Let x be j(-6). Is 42\/x + -3 - a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 32.7. Let g = 1.2 - y. Which is the second smallest value? (a) 1 (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 975.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20\/3, -28, -3, 0.13, -6, 1 in increasing order.\nAnswer: -28, -6, -3, 0.13, 1, 4, 20\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407904, -407927, -407966, -408021, -408092?\nAnswer: -408179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282875977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -304 (b) -0.3 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 105002 divided by -105002\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11858 - -11855. Let f be (-4)\/14*3\/(-3). Put d, f, 7, 5 in descending order.\nAnswer: 7, 5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/44 and -21\/320.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 499568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/240 - 9*p**4\/16 + 473*p**3\/24 + p**2 - 326. Factor f(z).\nAnswer: (z - 43)*(z - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(68)\/(sqrt(20)\/sqrt(5)))**2 + sqrt(1377) + 0) + ((-4*(-1 + sqrt(17)) + 2)*2)**2.\nAnswer: -147*sqrt(17) + 1317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50, 83, 116, 149, 182, 215?\n\"Answer: 33*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -103, 2.6, -4?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8064 and 756?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7\/39?\nAnswer: -7\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (211 - 49 - 164) + (-14)\/(-16)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*(-5)\/(-84). Let v be 3 - (390\/(-28))\/(-5). Let b = v - n. What is the biggest value in 3, b, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 44, 3, -5, -1 in descending order.\nAnswer: 44, 7, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.0207\nAnswer: 2.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 1:23 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.128 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 k when four letters picked without replacement from {h: 3, k: 15}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19 + 347*w**3 + 106*w**3 + 4130*w + 10 - 4138*w wrt w?\nAnswer: 2718*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8945.9983866 - -8946. Round t to five dps.\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24959 = -90*s - 23069 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 35, 38, 33, 20, -1, -30?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b - 4. Let k be o(3). Suppose k*l = -2*g - 16, -2*g - 8 = -0*l + 3*l. What is the third derivative of -2*n**6 + 4*n**5 - 4*n**5 + g*n**2 wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 4bc?\nAnswer: -4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*y = -710*y + 26 + 57 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2979 - 2622. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 23*m - 180. Let v be z(8). Let w be (352\/80)\/(v\/10). Let d(p) = -p**2 + 9*p + 4. Give d(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/1*(-4 - 14\/(-4)). Suppose -w + 6 = -4*w, -l*u = 2*w - 326. Calculate the greatest common divisor of u and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6448.48kg in grams?\nAnswer: 6448480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**5 + 55525*p**4 + 153286695*p**3 - 4809248145*p**2 - 10690392960*p + 15346298880 = 0. Calculate p.\nAnswer: -5568, -3, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5308, 21263, 47856, 85087, 132956, 191463, 260608?\n\"Answer: 5319*t**2 - 2*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5186306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*v + 4 = 294*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 + 54. Let r be 2\/11 - 6\/j. Let m = -10888 - -10881. Which is bigger: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 20*x**2 + 20*x + 33. Determine f(19).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -1 - 5)*18. Is 12 a factor of d\/(-4)*24\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740008 + -2.54\nAnswer: -740010.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -0*g. Let x(w) = g*w**2 + 0*w**2 - 2*w**2 + w**2. Let a(c) = c**2 + 3*c**2 - c**2. Give a(x(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*s**2 - 6*s + 6*s + 3*s**6 - s**6 wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*b**2*o**2 - 30*b**2*o + 2*b**2 - 193*b*o + 6343*o**2 wrt b?\nAnswer: 188*o**2 - 60*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 898422, 898431, 898440, 898449?\nAnswer: 898458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 20965, -1, -44, -5 in descending order.\nAnswer: 20965, -1, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**3*s*x + 241*m**3*x + 13*m**2*s*x - 4*m*s*x wrt m.\nAnswer: -12*s*x + 1446*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1371000 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1095.97 - 23912\nAnswer: -25007.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**7\/14 - n**4\/4 + 6*n. What is the third derivative of f(m) wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 1.2. Let h be 10\/15*15*2. Let q be (-5)\/h + (-1)\/2. Which is the nearest to u? (a) 3 (b) 2\/15 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -5 - -6 - (0 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67\/3 - -22. Are -0.1 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*y - 155*y + 340*y**2 + 275 - 283 to h*y**2 + k*y + u and give h.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 40*g + 1450. What is the remainder when 2031 is divided by f(-32)?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*x - 190*x = -649. Calculate the remainder when x is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*h + 1. What is the common denominator of 109\/30 and h\/10 - (-3336)\/(-1260)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 7*w = -156. Let u be (w\/(-10))\/((-8)\/20) - 3. Let p(m) = -m**3 + m**2 - m - 23. Give p(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558810 is divided by 1486?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -2032?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 49*x - 2. Let m(c) = 11*c + 1. What is 4*m(w) - o(w)?\nAnswer: -5*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108889.\nAnswer: 11, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9311 (base 10) to base 11\nAnswer: -6aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 4. Let o(l) = -10*l - 24. Let f(k) = o(k) - 6*v(k). Let d(b) = 7*b. Calculate d(f(p)).\nAnswer: -154*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5521805g to tonnes.\nAnswer: 0.0000005521805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/5475 and -40\/21243.\nAnswer: 531075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2302, -4640, -6994, -9364, -11750, -14152?\nAnswer: -16570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5\/3 - 4*x**4\/3 - 17*x**3\/3 + 32*x**2\/3 + 124*x\/3 + 80\/3 = 0.\nAnswer: -2, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 + 0*k**2 + 11*k**2 - 196 + 190 to x*k**2 + z*k + b and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1*l**(-5)*l*l**(-2)*l**(4\/9) assuming l is positive.\nAnswer: l**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40513125 is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**2 + 3*n + 43. Let t be b(-9). Let y = t + 555. Solve -8 = -3*p + y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10205\/5 - (-3 + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 526560 and 4.\nAnswer: 2106240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 - (4 + -4). What is the third biggest value in -5, d, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 899319 and 144159.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwpwfpwffwwf. What is prob of sequence fpw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/2 + 12717*y**4\/2 + 26960037*y**3 + 38139427534*y**2 + 114175813908*y = 0 for y.\nAnswer: -4238, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7300001*w**3 - w**2. Suppose -4*h - 4 = -8. Let g = h + 0. Let j be u(g). Round j to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -0.8, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12838, 25016, 37196, 49378?\n\"Answer: r**2 + 12175*r + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 g, and 1 b when three letters picked without replacement from bgbbbbbbgbbbbbbbgbab?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + 13 + -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21535072 and 1312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11072 is divided by 1383.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1351 times -2?\nAnswer: -4.2702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6057 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*r - 5*r + 25, q - 3*r - 21 = 0. Suppose -m + 0 = -3. Suppose 4*d = 2*g - 36, m*g + 0*d = -d + 40. What is the least common multiple of q and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-30)\/k*k*k**(-24))\/((k**7*k)\/k)**34 assuming k is positive.\nAnswer: k**(-292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/273*(-28)\/12?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - c**2 + c + 3. Let z be j(0). Suppose 3*t = 2*t + z. Suppose -t*g - 16 = -46. What is g rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4\/4 + 2*r**3\/3 - 3*r**2\/2 - 4*r + 66. Let p be o(-2). What is the highest common factor of 102 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 26*l - 9. Let u be r(5). Let d = u + -86. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2\/17 (c) -8 (d) 1\/4 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639495129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -14. Solve r*c = 6*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w + 0*w)*(2 - 2 + 2 + (-1 + 3 - 3)*(-4 + 1 + 1)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 80823573, 80823564, 80823553, 80823540?\n\"Answer: -s**2 - 6*s + 80823580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 9. Let d(p) = p**2 - 14*p - 12. Let r be d(15). Suppose 0 = -f + 3*o + 4, 3*o + 16 = r*f + f. Solve k*c - 8 = f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 21 = v - 2*v, 18 = -2*v - 5*j. Suppose -7*r = v - 15. Calculate the smallest common multiple of 132 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38731\/3 + -12905. Which is the closest to 0.2? (a) 0.4 (b) 10 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(-12)\/102*2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*z + 776 - 1573 - 517*z + 783 - z**2.\nAnswer: -z**2 - 480*z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, f: 1, q: 1, j: 4, m: 2}. What is prob of sequence jqmm?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:17 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 37. Let g = -15 - -17. Suppose -2*y = -g*f + 44 + 120, 144 = 2*f + 2*y. Calculate the remainder when f is divided by r(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 10*u + 29. Give t(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326479.2 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.57 - 14.4. Let u = x + -0.17. Which is the closest to u? (a) 1 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.24 - -0.05. Let h = 0.1 - 0.11. Let x = p - h. What is the nearest to 2\/7 in -0.3, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -22 + 14 - -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Let i be -7 - -6 - (-1)\/(2\/6). Which is bigger: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 21 + 4 + 0 - 25.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.14\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/60 + 4*o**2 - 9*o. Let g(y) = 3*y**3 - 10*y**2. Calculate g(d) - 5*u(d).\nAnswer: 3*d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782 is divided by 206.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4 = 4*b, -5*j + 766 = -b + 743 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015280 is divided by 53435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1914294928 to the nearest integer?\nAnswer: 43753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*k - 1917 - 1044. What is the highest common divisor of k and 3901?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4.4 (b) 1 (c) 12\/283 (d) 3 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhjh when four letters picked without replacement from {h: 2, j: 11, r: 2}?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*j + 1492, 0 = -3*s - 2*s - 3*j - 1825. Let x be 5 + 3\/2*s\/115. Let c be 1\/(-2)*2*-1. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 41. Let c be (r\/3)\/(1*-1). Let t(j) = -j**3 - 7*j**2 - 8*j - 3. Is t(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + c + 7 = 0, 3*p - 4*c + 2 - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 329 + -202. Is 47 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195 and 15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 - 2*f. Let h be z(-2). Is 1596\/16*h\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 5400?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 48855*m**2 + 54180360*m + 16006137840.\nAnswer: 5*(m + 612)**2*(m + 8547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-8\/5))\/m*m**(-1\/11) assuming m is positive.\nAnswer: m**(-93\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q - 2824 + 8464. Calculate the highest common divisor of q and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1151 - 15.7059. Let r = z - -16.08. What is r rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2. Suppose u - 2*y - 5 = 0, 2*u - 33 = -2*u - 5*y. Let d(p) = -8*p + p - u*p. What is d(f(t))?\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 975652, 975632, 975566, 975430, 975200, 974852, 974362?\n\"Answer: -4*a**3 + a**2 + 5*a + 975650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 332?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138476?\nAnswer: 2, 13, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**2 + 2*o. Let i(t) = 105*t**2 + 27*t. Let x(l) = -2*i(l) + 27*m(l). Let d(n) be the first derivative of n**2\/2 + 8. Give x(d(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**9\/90720 + b**8\/20160 + b**7\/3024 - b**6\/720 + 9*b**4\/4 - 15*b. Let n(r) be the third derivative of a(r). Factor n(p).\nAnswer: -p*(p - 3)*(p - 1)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 271808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 - 6*s + 4. Let c(l) = -6*l**2 + 7*l - 5. Let n = 165 + -159. Determine n*c(a) + 7*x(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = 11. What is the tens digit of (27\/1 - 1)*i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/23)\/z)**(-4\/15) assuming z is positive.\nAnswer: z**(32\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.074 times -11.2\nAnswer: 0.8288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80481839\/102 - 2366207\/3. Let h = -302 + w. Let x(k) = -2*k**3 + 3*k**2 + 6*k - 8. Let t be x(2). Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a\/a**6)\/a)))**(-13\/5)\/((a\/(a\/((a**19*a)\/a)))\/((a**15*a*a)\/a)) assuming a is positive.\nAnswer: a**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043619494 rounded to five dps?\nAnswer: -0.00436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boibuqu. Give prob of sequence qiu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 596808\/(1 + 2\/(-4)). Let d = 9997945 - 5904329. Let n = d - i. Round n to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -148*u**3 - 4*u**2 - 104*u + 11. Let s(i) = -5*i**3 - i**2 - i + 3. Let w(k) = -g(k) + 3*s(k). Find the second derivative of w(a) wrt a.\nAnswer: 798*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20692, -20699, -20712, -20731?\n\"Answer: -3*b**2 + 2*b - 20691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*g = -3*a + 14, -a = -3*g. Suppose -2*d + 40 = -a. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i + 2. Let u be k(2). Suppose u = 2*r - 5 + 1. Let t = 1664 + -1654. Calculate the smallest common multiple of t and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588 divided by 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 32576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -3.13899375154.\nAnswer: -0.13899375154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1505 divide 24856580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84676072?\nAnswer: 2, 13, 814193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4574518 + 7980897 + 7528064 = 247*o. What is the ten thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 9*u + 555. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102700.976 rounded to the nearest one hundred?\nAnswer: 102700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, -1871 in decreasing order.\nAnswer: 24, 4, -1871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46.5 + -48. Let d = 1.18 + b. Round d to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*l - 206*l + 412*l.\nAnswer: 69*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(11\/4))\/((-461)\/(-461))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = 34 - 397. Suppose -5*b + 114 = -0*b - w, 0 = 5*b + 3*w - 98. Suppose b = -g + 2*g. What is the greatest common factor of t and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 200 + -205. Let u(g) = -3*g**2 + 9*g + 18. Let d(r) = -r**2 + 1. Let l(q) = -4*d(q) + u(q). Let h be l(-6). Sort -7, h, -3, p in descending order.\nAnswer: -3, h, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/4*3\/(-4)*(-112)\/42?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/36*-1)\/(2519\/176330).\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/9)\/(-4)*12. Suppose -b = 2*b - o*g - 13, -2*g = -4*b + 14. List the prime factors of (86 - 2)\/b - 2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43037.7t to grams.\nAnswer: 43037700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrgrggrgruu. Give prob of sequence gr.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625 is divided by 322?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 - 1 - 102919*m + 1 + 102919*m + 399758*m**2 - 399758*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w + 6*w - 6*w)*(0 + 0 + 2)*(0*w + 2*w**2 + 0*w).\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18768 and 6256.\nAnswer: 18768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-35) - (-28)\/(-5). Let t = 51 + p. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t**2 + 3*t**2)*(0*t - 2*t + 6*t) - 9*t - 7*t**2 + 9*t - t**3.\nAnswer: 7*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90.1 + -104. Let k = y + 13.902. Round k to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f + 74*f = 3*i - 15, 3*f + 3*i - 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*3\/((-21)\/28)*(-9)\/450?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 19*i**2 + 18*i + 26. Suppose -3*m + 29 = -2*w + 2*m, -3*m + 15 = 0. Is o(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i**2 + 317*i + 18. What is d(-31)?\nAnswer: -1160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 + 1475*n**4 + 1485*n**3 - 1475*n**2 - 1480*n = 0 for n.\nAnswer: -1, 0, 1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 12 = 17*o. Let x = 34 + -12. Solve 0 = -o*g + g - 6, -4*q - g - x = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c + 45. Determine b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 229, 413, 605, 811, 1037, 1289, 1573?\n\"Answer: m**3 - 2*m**2 + 183*m + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 16. What is p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -95230 and -63566515.\nAnswer: -63661745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15\/1093 (b) -2\/7 (c) -0.071 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.158 - -0.158. Which is the nearest to j? (a) 1\/5 (b) 1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 7*w**2 - 8*w - 2. Let d be u(2). Let m = 24 - d. Solve 0 = 5*z - 4 - m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -4 (c) -44 (d) 2\/5 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/(-318))\/((-4)\/312*1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2 + 3. Let p(o) = 11*o**2 - 8. Determine 3*p(v) + 8*x(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -58. Suppose g = y + 3*y + u, -4*y - 48 = -4*g. Is (19 - y) + (2 - 4) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/94304 and -5\/32.\nAnswer: 94304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.5 - -80.5. Let x = 12 - d. Let i = 53.04 + x. Sort -3, -1, i, 3 in descending order.\nAnswer: 3, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1617 divided by 7\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29526 divided by 111?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*t + 320 - 322 + 2*t**2 - t**2 to m*t + z*t**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 3, -2\/9, -1\/2, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 288*a**2 - 164*a - 164. Give c(-1).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60746 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.3. Suppose 19*x = 7 - 45. What is the second biggest value in l, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -988 + 1002. List the prime factors of (g + -557)\/((-6)\/16).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35029*b**5 + 2*b**4 + 2575*b**2 + 39036513*b + 4 wrt b.\nAnswer: -700580*b**3 + 24*b**2 + 5150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, 49, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -421050*q**5 + 91244*q**2 + 4*q wrt q.\nAnswer: -25263000*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 804140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -273f (base 16) to base 15\nAnswer: -2e9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/2)*t\/(t\/(t**(-4\/5)\/t))*((t\/((t*t*t**(2\/5)*t)\/t))\/t)**43)**(-8\/11))**(-11) assuming t is positive.\nAnswer: t**(-828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 8. Let n be (-5)\/((-275)\/363) + (-4)\/(-10). Calculate w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 740 = -2*s. Suppose -6*o - s = -499. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.0459?\nAnswer: -0.01377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/12*4\/(-3). Suppose -c - 3 = d. What is the closest to -2\/7 in 0.3, -2, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103461606949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**2 - 8 + 11 + 2*a**3 - 4*a - 4. Let t be y(4). What is the second smallest value in 5, 4\/5, t, -14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18*k**2 - 4*k. Let d(w) = -35*w**2 - 9*w. Determine -4*d(f) + 9*y(f).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67288.\nAnswer: 2, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 92\/(-805)*(-20)\/8. What is the nearest to -2\/9 in -6, 2, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 1755.\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:31 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*10*182\/4550\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*u - 1505 = 0, 2*u + 1470 = -34*j + 38*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46016 and 352?\nAnswer: 506176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 10*i**2 + i - 9. Let y be s(10). Suppose -3*j = -9 - 0. Solve 0*v + 3*v**j + y + 2 + 3 - 9*v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -805 - 6.\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 26*y + 5. Let z be c(-13). Suppose 4*j - z*j - 4 = 0. Put 5, -3, j, 1 in decreasing order.\nAnswer: 5, 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810 and 567.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + -8. Let f = 15 + s. Calculate the common denominator of 2 - (86\/(-4) + f) and -22\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/(-15) + 12 + -7. Let y(h) be the first derivative of -7\/2*h**2 + 0*h**4 + 0*h**3 + 0*h - 7 - j*h**5. Find the second derivative of y(w) wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a200 (base 12) to base 10.\nAnswer: 639648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 11 + 9*x + 3*x.\nAnswer: 10*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 - ((5 - 77) + 18).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2984*f + 7406*f + 3103*f - 1362793 = 0 for f.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.084 + 0.023. Let m = 2.893 + g. Put -3, -3\/11, -4, m in descending order.\nAnswer: m, -3\/11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 = 3*g. Suppose 0 = m - 2*m + g. Let o(t) = 2 + 6 - 3 + 0*t**2 + t**m. What is o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -131, -255, -365, -455, -519, -551, -545, -495?\n\"Answer: b**3 + b**2 - 134*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 511274123?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(528)*-5 - sqrt(528))*-6)\/(sqrt(96)\/(-4*sqrt(8))))**2.\nAnswer: 912384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (1 - 5 - -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.52103 months in years?\nAnswer: 4.3767525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.5, 1\/7, 0.07, -2\/53, 3\/4, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 2*l + 3*l + (0 + 1 + 0)*(-2*l - 3*l + 6*l) - 5*l + 6*l - 2*l + 5*l - 9*l - 2*l to the form q + o*l and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 1 e when three letters picked without replacement from brnrrrrnernr?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*h + 1 - 0, -2*h - 4*r = -28. Suppose 4 = -6*m + h*m. Suppose -p + 0*u + 3 = -u, 4*p + m*u = 12. Solve -5*a = p*t + 19, 5*a - 11 = -36 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 236 = -4*g + u, 128 = 2*g + 3*u. Let r = g + -51. Let h(c) = -c**2 + 8*c - 14. Let n be h(4). Sort n, -2, r in descending order.\nAnswer: r, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 + -185. Let r(t) = -t**2 + 3*t + 4. Let f be r(3). Is (f - y)*1468\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 35, -0.3, 327, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -273.1, 0.14, 4\/5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1099*g + q - 26 = -1093*g, -q + 16 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {j: 3, i: 1, u: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 16*d = 16*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-193192)\/(-2480) - 78)*(5\/3 + -1).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/((-21)\/252). Suppose -15*t = -14*t + 2*u - 974, l*u - 982 = -t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*a - 2616 - 860 = -196 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 14*k - 13. Let g be 1\/((-4)\/(-4))*4. Suppose 3*o - 4*h = -19, 2*h = g*o + 31 + 1. Is b(o) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -3, -9, 162, 4 in ascending order.\nAnswer: -9, -3, -2, 4, 9, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 42*y**2 - 20*y - 60. Let n be d(-8). Calculate the highest common divisor of 48 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 371 - -1?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 12*k**2 - 10*k - 19. What is the hundreds digit of x(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 12*n**2 - 5*n - 2. Let h be r(-12). Let d be h\/5 + (-28)\/(-70). Solve -4*l + 7*l - d = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261 (base 10) to base 13.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 20*a - 164 - 164. What is the lowest common multiple of 102 and a?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11*a + 22*a + 6 + 15. Let u be j(-13). Let h = u - -769. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -579*m**3 - 26*m**2 - 50*m - 4. Is 34 a factor of q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/35 + -3)*-5 - -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -353, -749, -1227, -1787?\n\"Answer: -41*q**2 - 273*q - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -17*c + 132. Calculate x(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7586 and 58491853.\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6859961*d + 121699023 with respect to d.\nAnswer: 6859961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152\/3 + 772\/15. Let b be 2\/(-5)*(-3910)\/(-68)*4\/(-4). What is the second biggest value in b, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + (-313)\/(-4). Let a = -41 + z. Let p = -27 - -40. Calculate the remainder when a is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 2*j + 4*j)*(-9*j**2 + 6*j**2 - j**2)*(-2*j + 2*j + 2*j**2).\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9839227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ege when three letters picked without replacement from eeg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 1623. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 12) in base 14?\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus -0.068303?\nAnswer: 0.148303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/29 in 21, -3\/4, 0.05, -5, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1613 - -1613. Sort 1\/5, g, 34.\nAnswer: g, 1\/5, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 1\/17, -0.2, -3 in increasing order.\nAnswer: -3, -0.2, -0.03, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, h: 1}. What is prob of sequence rrh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -19) + -21 - (-12 + -40).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9489\/2*(-10)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -2 + 1\/3*m**3 + 1\/2*m**2 + 0*m - 1\/2*m**4. Let v(k) = 0. What is k?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-6) - (-3 - 275\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 3247 - 777. Calculate the remainder when t is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-110*1)\/1. Find the common denominator of 75\/2 and 9\/(-18)*s\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let s = z - -1. Suppose -s*x = 2*x - 35. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 25 - 33 = -3*o, 6*o - 2*v - 32 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12*z**3 - 3*z**2 + 5*z - 4. Let l(p) = -p**2 + p - 1. Let f(n) = -b(n) + 4*l(n). Let r be f(-1). Does 6 divide 1 + r + (-1 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22210 (base 3) to base 6\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8958.01 and -1.73?\nAnswer: 8959.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 34\/5 of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -291 + 291.1. Let o = -153.8 - -154. What is the nearest to o in 3, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48038269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85)*-2 - sqrt(85)))*5 + sqrt(85) + ((3*sqrt(85) - sqrt(85)) + sqrt(85))*4)\/((sqrt(245)*2 - sqrt(245)) + (sqrt(50)*3)\/sqrt(10)).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 85*x - 30*x - 80*x)*(2*x**3 + 2*x**3 - 6*x**3)*(-8 - 9 - 13).\nAnswer: -11280*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - d**4 + 0*d**4 + d**4 - d**2 + d**2 + (2*d**4 + d**2 - d**2)*(-2 + 1 - 1) + 0*d**4 + 0*d**4 + d**4 + 12*d**4 + 109*d**2 - 109*d**2.\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**3 - 135*y**2 + y + 71 wrt y.\nAnswer: -12*y - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 7*f + 2*x = 0, x = -3. Solve -6 = 2*q + f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 15, -102*a + 5*h = -95*a + 103 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.54.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 182*u - 2900. Let j be z(16). What is the smallest value in j, 3, -0.08, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*k - 162*k - 16 = 2*g, -3*g - 11*k = 8 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + 1. Suppose 3*r - u = -0*r. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 275?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 + 4*f**5 + 5*f**3)*(5 + 3 - 4).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 349831 to the power of 1\/2, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 1 v when three letters picked without replacement from ugwvnjj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38878382 to the power of 1\/2, to the nearest integer?\nAnswer: 6235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12502543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a - 55. Suppose 4*g - 60 = 4*r + 6*g, -25 = r - 2*g. Let z = a - r. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -30505.\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 11) to base 4\nAnswer: 11231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13297981 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - (20 - 8)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 k when four letters picked without replacement from {k: 3, h: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/33? (a) 0 (b) -0.833 (c) -2\/5 (d) 0.132 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**37*r)\/((r\/(r*r**15\/r))\/r)*(r\/(r\/(r\/r**41))*r)**(-17) assuming r is positive.\nAnswer: r**644","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20122122220 (base 3) to base 15\nAnswer: -28c19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 + 2*i + 2. Let l(y) = -6*y**2 + 4*y + 7. Calculate 3*l(t) - 7*z(t).\nAnswer: 3*t**2 - 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99.973 + -100. Let g = d + 0.02626. Round g to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -22 - (3 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2*l**5\/45 - 43*l**4\/9 + 502*l**3\/27 - 166*l**2\/9 - 2478. Let a(i) = 0. What is i?\nAnswer: 0, 1, 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - d**3 + 2*d**3 - 10*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 658802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 372913229.\nAnswer: 372913225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 416311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -127*i - 48. Let d be g(-2). Suppose 2*c = d + 1272. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let m(k) be the third derivative of 0*k**3 + 11\/12*k**5 + 0*k - 174*k**2 + 0 + 0*k**4. Determine j(m(u)).\nAnswer: 3025*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*z = -3*z - 16, 5*z - 40 = -5*a. Let u be 6 - (-6)\/(-3 - -6). Calculate the highest common factor of u and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 11726260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*y**3 - 2*y**2 + 32*y**4 - 121*y**3 + (4*y - 4*y + 2*y**3)*(-y + 3*y + 11*y) as k*y**3 + h*y + j*y**2 + r + z*y**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13228 + -13304 - (1 - 94).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -156. Let c be ((-4)\/(-5))\/(15\/y). What is the highest common factor of c and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42988104 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 5725\nAnswer: -3\/5725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, z: 8}. What is prob of sequence ezee?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 15871226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-12) + (-169781)\/(-3). Suppose 0 = 4*v - 20, -4*v = 2*t - 5*t - x. Let c = -6858 - t. Round c to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 263 = 39*q. Solve -2*t + q*t - 35 = 4*o, 0 = -o + 5*t - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 670, 671, 672, 673, 674?\n\"Answer: m + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 4*f**2 - 3*f - 6. Give z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2465583, 4931247, 7396945, 9862695, 12328515, 14794423, 17260437?\n\"Answer: 3*j**3 - j**2 + 2465646*j - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 18342.\nAnswer: 146736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:02 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6442 in -9, -2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73911, 295729, 665425, 1182999, 1848451, 2661781, 3622989?\nAnswer: 4732075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24696.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -91ab8 - 5?\nAnswer: -91b01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6696.1 - -6696. Suppose 5*m + 2*b - 133 = 5*b, 0 = -2*m - 4*b + 48. Put z, 5, -0.2, m in descending order.\nAnswer: m, 5, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 241\/5 + ((-24)\/(-5) - 6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 - 4*u**3\/3 - u**2\/2 + 4. Suppose -2*p = 7*z - 3*z - 22, -2*p + 6 = 0. Calculate g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r. Let m(z) be the first derivative of -z**2 - 6. Give a(m(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(34)*1 - sqrt(34) - sqrt(34))*-5)\/(sqrt(242)*-1) + -3.\nAnswer: -3 + 15*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608672.\nAnswer: 2, 23, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 3 - ((4 - 3) + -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 309919, 309842, 309771, 309706, 309647, 309594, 309547?\n\"Answer: 3*h**2 - 86*h + 310002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 5:03 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 422341835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (1*(sqrt(77) - (sqrt(77) + 2*sqrt(77))) - sqrt(77)))*-6)\/((2*sqrt(196))\/sqrt(7)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 1.6. Which is the nearest to -0.2? (a) 4 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.2282.\nAnswer: -0.1141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93531201?\nAnswer: 3, 31177067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -12\/13, -7, -371, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/31)\/m**(-2))**42 assuming m is positive.\nAnswer: m**(2688\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and -276.\nAnswer: -274.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 149*m + 1140. Determine p(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90852473?\nAnswer: 4787, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofojggaagfjggfgdgfgo. Give prob of sequence dggf.\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.4415 grams to milligrams.\nAnswer: 77441.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -52*f + 7. Let r(p) = -16*p + 2. Let c(u) = -7*r(u) + 2*z(u). Let m(w) = 34*w. What is c(m(o))?\nAnswer: 272*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -z + 5*z - 495, -4*z + 485 = -d. Let u be 1 - (1\/3)\/(4\/(-132)). Calculate the highest common divisor of u and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/(-42) - (-3)\/(-21)) + -1. What is the nearest to -1 in 0.043, 5, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 3 - 26*s**2.\nAnswer: -26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.07 (b) -4 (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-12))\/((-900)\/(-1080))*0. Let v(a) be the second derivative of l + 5\/7*a**4 + 250\/7*a**2 + 48*a + 1\/35*a**5 + 50\/7*a**3. Factor v(x).\nAnswer: 4*(x + 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81.219 or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m = -8*m + 164 - 464 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-98)\/70 + (-74)\/(-10). Let n(j) = -1 + 13*j**2 + j - j**3 - 3 - 8*j**2. Determine n(q).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2267 and -10177.\nAnswer: -7910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22805 or 22802?\nAnswer: 22805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3256034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-1 - -2 - 2). Let a be 0 - 110 - (y - 3). Let x = -66 - a. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -310744 (b) -0.2345 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 16 - (53 - 45).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 13. Let k(l) = 4*l**2 + 1. Give k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462820655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/(((((o*o**(-2\/7))\/o)\/o)\/o*o)\/o))\/(o**4\/o*o*o*o\/o**(2\/5))*(o\/o**(-1\/3)*o)**(-33)\/(o**0*o*o*(o**6\/o*o)\/o) assuming o is positive.\nAnswer: o**(-3021\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from yrssrqpp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, 0, -10, 4, -1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 969199 and 969199?\nAnswer: 969199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50778 divided by -117.\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 1, -3, -1 in descending order.\nAnswer: 1, -1, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 + 10*c**2 + 27*c. Let s be m(-4). List the prime factors of ((-22736)\/s)\/((-6)\/(-45)).\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2862607um in nanometers?\nAnswer: 286.2607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9394, -18298, -27238, -36238, -45322, -54514, -63838, -73318?\nAnswer: -82978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25454 and 8554858?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4477189*-20\nAnswer: 89543780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -16. Let o(i) = -511*i + 34246. Let z be o(67). Solve k = z*d - 12*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2 - 7*n - 2 + 6*n. Let h(q) = 7*q + 4. Suppose -3*s + 31 = -5*a, -8272 + 8308 = 3*s. Let z(t) = 7*t**3 - t. Let f be z(1). Calculate a*h(p) + f*g(p).\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + 956. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.1, 2, 155?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -7. Let o = -4.5 + n. What is the biggest value in 2, o, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5031 and 439560147?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1 + (-4 + 0 + 2)*(-3 + 3 + 1) + 4 - 5 + 2 - 2 + 1 - 1)*(7*s**4 - s**4 + s**4).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-17)\/(d**(-13)*d*d)*(d\/(d**(3\/16)\/d))\/(d*d**3\/d*d) assuming d is positive.\nAnswer: d**(-131\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684 and 2338389090.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 3, -29, 2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 29813*i**2 - 59769*i. Determine f(2).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 3) + (-151 - -147 - (-1 + 3))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -145*n - 156. What are the prime factors of p(-10)?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 220\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355 or -976?\nAnswer: -976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + (-316)\/(-12). Suppose -2*g = -s + 2. What is the greatest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7146 and 3?\nAnswer: 7146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21821 and -1.1.\nAnswer: -24003.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11460549 times -21?\nAnswer: 240671529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/12 - -1)*1 + -3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-9)*((-2088)\/(-16))\/29. Solve 13*h - t*c = 15*h - 8, 3*c = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.306.\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + (9 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*d + 83*d = 64574. Which is smaller: d or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + q = -69, 2*q - 54 = -2*l - 0*q. Let m = 34 - l. Solve 0 = m*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-4))\/((-15)\/(-300)). Solve 4*v + v = -n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27839?\nAnswer: 7, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 0*a**2 + a + 2*a in the form d*a + f + g*a**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486 take away 1589294?\nAnswer: -1586808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 298740.6 micrometers?\nAnswer: 0.2987406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255159, -510311, -765455, -1020591, -1275719?\nAnswer: -1530839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/184 + 20733222\/314088?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2385.32 - -2385.435167. Round o to 3 dps.\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 + 14*d**3 + 16*d**3 + 124494*d - 124494*d.\nAnswer: 30*d**3 - 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/27 and -41\/3729?\nAnswer: 33561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 383528.28 rounded to the nearest 1000?\nAnswer: 384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*q - 50*q - 56 = 0. Suppose 0 = 2*k - 4*y - 6482, 0 = -3*k + q*k - 3*y - 16240. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61694978*r**2 + 33730165*r.\nAnswer: -123389956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/2)\/((-46)\/7061)*4 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7577 a factor of 2648949508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-7))\/((-5652)\/(-18840)).\nAnswer: 110\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3) - 104\/(-96)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:28 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**8\/112 - 4*k**7\/35 - k**6\/4 + 7*k**5\/5 + 11*k**4\/8 - 10*k**3 + k**2 + k - 322. Solve x(c) = 0.\nAnswer: -5, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 59.9 (b) 0.3 (c) -12 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - a1b9ce?\nAnswer: -a1b9e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4045\/(-80)*-2 + 2\/1. Let n = w + -2779\/24. Find the common denominator of -63\/20 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7) - (sqrt(7) + (3 + sqrt(28)\/sqrt(4) + sqrt(7))**2) - sqrt(7)).\nAnswer: -13*sqrt(7) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 191.9 (c) 0.456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43020515 - 3?\nAnswer: 43020512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*w - 32*w = 736. What is the greatest common factor of 115 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10399501?\nAnswer: 7, 53, 28031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.42?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w + 62*w + 50*w.\nAnswer: 79*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317313.\nAnswer: 3, 35257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 50, 1, 5 in ascending order.\nAnswer: 4\/7, 1, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1746 + 84291.\nAnswer: 86037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333334 - -20112?\nAnswer: -313222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-70) - (-50)\/(-63).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268\/120 - (11 + 1476\/(-135)).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/141)*r**8)\/(r*r**(-4)*r*r**2\/r) assuming r is positive.\nAnswer: r**(1267\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*y**4 + 1490*y**2 - 38*y**4 - 1432*y**2 + (y**3 - 4 + 4)*(-y + 2 - 2) as q*y**4 + w*y**2 + v*y**3 + m*y + i and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -j + 2*a - 351, -j - 3*a - 351 = 0. Let w be (-20)\/6*j\/65. Suppose 74 + w = 4*i. What is the remainder when 67 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60132987.\nAnswer: 3, 6681443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12212122200 - -2?\nAnswer: 12212122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 973.3 times -3565?\nAnswer: -3469814.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:36 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324407 is divided by 337?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, c: 4, x: 3}. Give prob of picking 4 c.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/120 + q**5\/15 - 4*q**4\/3 + 2*q**2 + 2*q + 27. Factor x(h).\nAnswer: h*(h - 4)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.499177 rounded to two dps?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 188130223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -735 - -798. Let j = 2.7 + -3. What is the third biggest value in j, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89150548 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: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30807\/6008 + -2\/751. What is the common denominator of v and (-62)\/8*(-336)\/(-378)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1813*g**2 - 22*g - 5. Let t(n) = -9*n**2 + 5*n + 1. Determine b(k) + 4*t(k).\nAnswer: 1777*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -15, -12, -7, 0, 9, 20?\n\"Answer: w**2 - 2*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*d + 37. Let x(h) = -h + 8. Let s be x(d). Suppose 160 = 3*p - 2*l, 3*l + 377 = 5*p + 109. Calculate the greatest common factor of s and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2681380707)\/(-468)*(-18)\/817155. Let u = 1681\/121060 - s. Let i = u + -1621\/13. Find the common denominator of 11\/12 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -27*m**2. Let k(v) be the second derivative of -v**4\/6 + 33*v. Calculate k(j(f)).\nAnswer: -1458*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, a: 3, p: 1}. What is prob of sequence pa?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 9 - 3. What are the prime factors of (z\/5)\/(1\/(-5))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 21*m**3 - 5*m**2 - 11*m + 11. Let q(f) = 4*f**3 - f**2 - 2*f + 2. Calculate 2*o(a) - 11*q(a).\nAnswer: -2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330916.\nAnswer: 2, 82729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2233797543732561.0000034 - 2233797363549845. Let c = -180182742 + v. Let q = 26 + c. What is q rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*x**2 + 1 + 0*x + 2*x + 116*x**2 in the form a*x**2 + h*x + t and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (945\/(-5))\/((-4)\/(-8)). Let s = l - -422. Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 i when three letters picked without replacement from ivvvvvvvvvvv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 113028*-5\nAnswer: -565140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.61911 - -1.6122887. Round u to 4 decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14\/495 - -4\/45. Let y = -18954499\/132 + 143594. Let p = y - z. Which is the nearest to 2\/5? (a) 0.1 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-40))\/(-3) + -1 + -2?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3840 is divided by 151.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27874*a*w**4 - 2*a*w**3 - 27911*a*w**2 - 26*a*w + 2*a - 16*w**4 + w wrt w.\nAnswer: 668976*a*w - 12*a - 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2346527.\nAnswer: 17, 97, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 117, 191, 265?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 727 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by -4.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(1 + 6\/(-3)). Suppose p = -5*o + 59 - 19. Suppose -o*h = -3*h - 160. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14132 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjc when three letters picked without replacement from vcjbbvnc.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/21*6738\/8*-1. Does 1124 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 110, 257, 440, 653, 890?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 16 = 4. Suppose s*c = -4*q + 45 + 43, 0 = -2*q + 2*c + 32. Suppose -q - 4 = -b. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y + 270. Calculate v(32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/5)*y*y**18)**(1\/38) assuming y is positive.\nAnswer: y**(99\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2 + 4 + (-1936)\/605 - 11?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = 2*g + 91, 2*d = 4*g + 74. Let n = 135 - d. Suppose 2*x = -2*x + 2*l + n, -5*l - 36 = -x. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 11*k**5\/15 + 9*k**3\/2 - 10342*k**2. Let y(a) = a**2. What is q(y(f))?\nAnswer: 44*f**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r - t - 40, r - 55 = -4*t. Suppose 0 = -m - 2*m + 48. What is the remainder when r is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14151.\nAnswer: 3, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*(-136)\/4. Let j = k + 19. Suppose 0 = -2*s - 2*v + 30, -j*s - 4*v + 0*v = -28. Solve -t = 3*t + s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 5:39 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*((-52)\/12 - -4). Solve s = -5*r - 3, y*r - 4 = -6*s + 3*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, r: 4, d: 3}. Give prob of sequence dnn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.8. Let c = -0.05 + -2.95. What is the closest to 1 in z, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1672 and 760?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from ihhqgpg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**3*s*y - m**3 + 2*m*y - 328*s*y - 4*s - 2253*y wrt s.\nAnswer: -m**3*y - 328*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2746*m - 20303 + 102683 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 133, 137, 143, 151, 161?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 10 = 5*w. Let g(c) be the third derivative of 0 + 0*c + 0*c**4 + 2\/3*c**3 + 0*c**5 - 1\/120*c**6 - 4*c**w. What is the derivative of g(q) wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28694030 bigger than -28694030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 - 163178*l**2 - 326362*l - 163182 = 0.\nAnswer: -1, 81591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 52. Let g be 4 + (-50)\/2*(-13 - z). Does 30 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 26 = d, -d + 44 = 3*d + 5*h. Suppose -d = -5*f + 4. Find the third derivative of -4*j**f + 9*j**6 - 8*j**6 + 4*j**2 - 4*j**2 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57321.68l?\nAnswer: 57321680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 1. Let l be r(1). Let g(x) be the third derivative of 2*x**2 + 1\/60*x**5 - 1\/6*x**3 - 5 + 0*x - 1\/6*x**4. Determine g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 9*t + 1659. Suppose 3*s + 8 = -3*k - 1, 2*s - 4*k = 12. Let r be o(s). Calculate the greatest common divisor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.639 and -512934608.92?\nAnswer: 512934608.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 22*y**2 - 113*y + 9. Let g(f) = -21*f**2 + 113*f - 12. Determine 3*g(r) + 4*z(r).\nAnswer: 25*r**2 - 113*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 129*r - 956. Determine a(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12502 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1353746972.86 and -18.\nAnswer: 1353746954.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**7\/2940 - m**6\/420 + m**5\/140 - m**4\/84 - 5*m**3\/6 + 6*m. Let n(l) be the second derivative of k(l). Factor n(q).\nAnswer: 2*(q - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 20*n + n)*(3*n**3 + 5 - 5).\nAnswer: -54*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5970 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: Calculate 1121 divided by 19.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82484 is divided by 82144.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 0*q + 46 + 5*q + 3*q - 10*q - 52.\nAnswer: 3*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212353?\nAnswer: 212353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**21*o))**(-4) assuming o is positive.\nAnswer: o**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -29747\/2, 4, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -767*l**2. Let a(w) = -52*w. Give a(q(b)).\nAnswer: 39884*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r*s**3 - 15*r - 2498*s**3 wrt r?\nAnswer: -2*s**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 3*j + 1. Suppose -4*h + 7*h + 12 = 0. Let k be r(h). Suppose -2*u + 1 = -k. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 123 + -16b51?\nAnswer: -16a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.074 plus 4?\nAnswer: 8.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -56 * -2.349\nAnswer: 131.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -345*i**2*r - 787481291*i**2 - 20178*i*r + 2*r**2 + r wrt r?\nAnswer: -345*i**2 - 20178*i + 4*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -76 + 74 + (-136)\/2. Let n be (27 - 0)\/(q\/(-120)). Suppose 4\/7*a**2 + n + 72\/7*a = 0. What is a?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12906 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1235*s**5 - 5*s**3 - 143768*s.\nAnswer: 24700*s**3 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2, 3, 197, 137 in decreasing order.\nAnswer: 197, 137, 5, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 676847 + -1418647. Round z to the nearest ten thousand.\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 19*s**2 + 45*s - 60. Let g be l(21). Suppose -g*w - 5*k + 5 = -2, 0 = 4*w + 2*k. Sort -4, w, 2, -5.\nAnswer: -5, -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 44. Let i be s(19). Suppose 2*f + 3*k - i - 125 = 0, -66 = -f - 3*k. Let y = f + -70. Solve -r - 6*m = -m + 16, -r + m + y = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3528 is divided by 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k - 0*k + 3*v, -k + 3 = v. Suppose 5*c = -u - 0*u + 21, -k*c = -15. What is the second derivative of -6 - 2*i - 3*i**4 + u wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 33*v - v**3 - 12 - 51 - 34*v + 73*v to the form h*v**2 + p + y*v + d*v**3 and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.202 in -12, -1\/5, 6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*60781.\nAnswer: -30390.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-918)*-18)\/(364\/(-42))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 59847300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, q: 4}. Give prob of picking 2 i and 1 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d - 2 + 0)*(2*d + d**2 - 2*d) + 1064*d - 1066*d + 36*d**3 + 182*d**3.\nAnswer: 219*d**3 - 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 + (4 - -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10536 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1297 - 1293. Suppose 1 = -4*h + 9. Solve -3*y - 4*o - 28 = -0*y, f*o = -h*y - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 + 313 = 5*c. What is the tens digit of (74\/4)\/(-7*c\/280)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = -3*o + j, -5*o = 5*j - 25. Suppose -12 + 3 = -3*s. What is the third derivative of s*b**6 - 2*b**2 + 0*b + o*b wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*t + 55, 6*a - 3*t + 5 = 5*a. Let k be a\/4 + 2\/(-4). Let o = 0 - -7. Solve -3*c + 2*q = -k - 3, -3*c = -q - o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6) + (-58976)\/(-44523))\/(96\/(-432)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -110.93.\nAnswer: -554.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 0*y**4 - y**4 + 3*y**4 + (-y**4 - 4*y**3 + 4*y**3)*(1 - 2 - 3) in the form k*y**2 + z + n*y**3 + b*y**4 + v*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 122*s**2 + 0*s**3 + s**3 + 1 - 127*s**2. Let c be l(5). Let a(z) = -11*z**3 + 2*z - 1. Give a(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 16261.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 - 22. Let n(j) = 372*j + 1. Give r(n(i)).\nAnswer: -415152*i**2 - 2232*i - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -23*h + 20*h. Is (-335278)\/(-265)*(h\/2)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 650 and 20.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1545246 divided by -85847.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6836 (base 16) to base 4\nAnswer: -12200312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -11. Let w be (3\/(-1))\/(-1 + o). Solve -2*h - 26 = 3*h - 2*b, -24 = w*h - 4*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*c - 2*h - 0*h, 38 = 5*c + 2*h. Let z = 37 - 24. Let n = z - c. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1471*v**3 + 179*v**2 + 4*v - 6790014 wrt v?\nAnswer: -4413*v**2 + 358*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k + 9. Let n be p(-3). Let c be 48\/(((-25)\/15)\/(10\/n)). Solve -3*q = 3*q - c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3563162 (base 7) to base 4.\nAnswer: 1232132132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 94 + 19. Suppose -5*a = -y, 4*k + 5*a - 24 - 21 = 0. Suppose -8 - k = 2*l + 5*b, 0 = -l + 3*b + 21. Which is smaller: l or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/98659 and -87\/946.\nAnswer: 8484674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3 + 8.7. Let j = 7 - l. Sort j, -5, 0.3 in ascending order.\nAnswer: -5, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2*f**(-7))**(-22\/7))**(1\/6))**(-20\/9) assuming f is positive.\nAnswer: f**(-1100\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + (-14)\/(-4). Let d be -2 - (w + 3\/(-3)). Let r(v) = -v - 1. Let l be r(0). What is the third biggest value in d, l, 1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:57 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1248 + 1243. Let h(z) be the third derivative of z**4\/6 - z**3\/3 - 14*z**2. What is h(u)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-44)\/(-55))\/(3*4\/30). Suppose 2*l - 2 = -2*v, z*l - 4*v - 3 = -1. Calculate the smallest common multiple of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 34 - (90 + -74).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*(2\/9)\/((-122)\/(-3660)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38230 - 38221. Suppose 2*h - 1 = 9. Solve h*u = -16 - i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdkwwwkzzkdk. What is prob of picking 1 w and 1 d?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-3*sqrt(136)*-1 - sqrt(136))*1)\/(-5*(sqrt(160) + (-1*sqrt(160) - sqrt(160) - sqrt(160)))\/sqrt(5)))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 5*s - 3*s)*(-2*s - 3 + 3) + 2*s**2 + 2 - 2 + 0*s**2 + 3*s**2 + 0*s**2 + (0 + 3*s + 10 - 1)*(1 + 2*s - 1) as f*s + d*s**2 + n and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Suppose g = 5*q - o - 3*o + 1, 0 = 3*q + 3*o - 21. Suppose -r - q*r + 23 = 3*j, 5*j - r = 0. Which is bigger: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 9.3.\nAnswer: -0.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(6\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 52 - q + 2*q**2 - 3*q**2 - 64. What is s(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/7)\/(10\/(-50))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.178.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8688621523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/14 - (-456)\/84. Which is the biggest value? (a) 4 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4*1\/(-2)). Let f = l - 2. Suppose -2*p + 19 = f. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*f**3 + 5*f**3 - 1 + 2*f**4 - 2*f**2 + 9*f**3 to c + m*f + d*f**4 + n*f**2 + u*f**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.5 - -10. Let g = x + -2.6974. Let n = 0.2 + g. Round n to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n**2 + 9*n**2 + 9*n**2)*(1 - 1 - 2*n) + 5*n**3 - 2*n**3 + 0*n**3 as g*n**3 + j*n + l + y*n**2 and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17859565.\nAnswer: 5, 31, 115223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4583 + 9173\/2. Let p(i) be the third derivative of 0 + 2\/3*i**4 - 10*i**2 - d*i**3 + 0*i. What is the first derivative of p(n) wrt n?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 0.1 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 24 - 0. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 4 (c) -3\/14 (d) -7.9 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7853446 to the nearest 1000.\nAnswer: -7853000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -315860 divided by -5?\nAnswer: 63172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + 194*j + 803. Give u(-44).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:12 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4789, -2090, -5 in increasing order.\nAnswer: -4789, -2090, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.4, 106, -303, -2\/9, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/16 and -97\/398.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/35990 and 139\/503860.\nAnswer: 503860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 219 + 3*p - 179*p - 287*p wrt p?\nAnswer: -463","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 + 250*m**2 - 1537 + 3727 - 835*m**2 with respect to m.\nAnswer: -8*m**3 - 1170*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24 - 20) + (-8 - -1) - -3) + 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75\/100721 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2138130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17804482, -17804498, -17804514, -17804530, -17804546, -17804562?\n\"Answer: -16*x - 17804466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 995 - 154. Suppose n - h = 82, 3*n + h - u + 117 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + q = -14*n - 3, 3*n - 3*q = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f + v + 4*v, 0 = -5*f - 5*v. Let u = 64 - -67. Let z = u - 131. Solve t + z = f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z**2 - 15. Let u be r(0). What is the units digit of -1 + 36\/10*u\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**19)**27*(q*q**(-28\/9)\/q)\/(q**(7\/6)*q*q) assuming q is positive.\nAnswer: q**(9121\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3 + 36. Let g = 53 - 20. What is the greatest common factor of a and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 612390*d + 2449544.\nAnswer: (d + 4)*(d + 612386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c + 319 - 19 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8057, -16118, -24179?\nAnswer: -32240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1054800 divided by 40\nAnswer: -26370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, w: 3, g: 1, t: 2, x: 4}. Give prob of sequence ttcg.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.4 - 1.4.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.9911 - -0.0089. What is the closest to -0.2 in j, -3\/13, 2\/3?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-1470)*2*1\/2*3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112937753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1806*v**3 - 75*v - 6.\nAnswer: 10836*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnnwlllulluulunlnu. Give prob of picking 1 n and 1 w.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffsjajjsjjfss. Give prob of picking 4 j.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6673 + 420365\/63. Find the common denominator of b and 83\/609.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7873*h**4*k**2 + 4*h**3*k**2 + 70*h**3 + 209*h**2*k - 331047*h*k**2 wrt h?\nAnswer: -188952*h*k**2 + 24*k**2 + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xdwwuwwxxuwxuw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:10 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most as big as -3.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2680192 divided by 1\nAnswer: -2680192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63, -187, -437, -687, -937, -1187?\n\"Answer: -250*g + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-688)\/160*2 + 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 29*u - 2958. Let i be v(102). Solve -4*x - 8*w - 10 = -6*w, x - 4*w + 7 = i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 30 - 61)*(-8 + 8 + 4*n**4).\nAnswer: -104*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6480, 25912, 58298, 103638, 161932, 233180?\n\"Answer: 6477*a**2 + a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-2)\/3*6\/(-46). Let l = -184 - -180. Sort -8, -1, g, l in increasing order.\nAnswer: -8, l, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010100111000 + 11?\nAnswer: -1010010100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + (-5 - -1 - (-12 + 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - l + 1. Let k(a) = -102*a**2 + 6*a - 4. Let w(s) = -k(s) - 5*v(s). Let c be w(-1). Suppose -f + 6 + c = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from uvfv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h*u**4 + 657*h*u**3 - 2907594*h + 655*u**4 - 4*u**2 wrt u.\nAnswer: 72*h*u + 3942*h + 15720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, f: 1, d: 1}. Give prob of sequence zs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 354 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 5, 3, -45, -3, -8 in increasing order.\nAnswer: -45, -8, -3, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 7) to base 13.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/80*-106*212\/(-212).\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by -98.\nAnswer: 39\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*h + 143. Let z = 132 + h. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42777772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((8 - -4) + -35).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -25*r**6\/6 - 6*r**5\/5 + 26*r**3\/3 + r**2 + 12. Find the third derivative of j(o) wrt o.\nAnswer: -1500*o**2 - 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7156.04591 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-28))\/(5\/(-4)*24\/140)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137*b**3*f - b**2*f - b**2*k**2 - 3*f*k**2 - k**2 + 20 with respect to b.\nAnswer: -411*b**2*f - 2*b*f - 2*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i\/(i\/i**26))\/i)*i*i*i\/i**(-13)*i)\/(i\/((i*i**(-35))\/i)*i\/i**(26\/3)) assuming i is positive.\nAnswer: i**(-109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -8.05. Let g = 0.22 + d. What is g rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {l: 2, d: 5, r: 3, o: 1, f: 5}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4\/9 + 1490*v**3\/9 + 111034*v**2\/3 + 29938598*v\/9 + 952857944\/9 = 0.\nAnswer: -436, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2\/7 + 2994*s\/7 + 38415\/7 = 0.\nAnswer: -985, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*k - 3 - 6 = 0, -12 = 4*k. Suppose 7*n + n - 152 = u. Solve -2*o - 5*p = o - 14, 4*p - n = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -249*v - 15440. Let q be x(-62). Suppose 18 = -4*c - 10. Sort q, -5, c in ascending order.\nAnswer: c, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Factor -r*n**2 - n**2 - 3*n + 2*n - 2*n.\nAnswer: -3*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {d: 7, h: 2, c: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -24. Let n be (12\/v)\/((-183)\/(-192) + -1). Round n to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535244354 (base 6) in base 9?\nAnswer: -18767737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-3)\/(-1)) - 4. Let f(k) = k**3 - k + 4. Let h be f(0). Let q be (-2)\/h + 4\/8. Sort 5, q, y in descending order.\nAnswer: 5, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/50*-5*(-511)\/(-196)*4.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 + 27440*j**3\/3 - 54877*j**2\/3 + 9146*j.\nAnswer: -j*(j - 27438)*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 9*h**2 - 14*h - 23. Is m(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233293810.\nAnswer: 2, 5, 7, 23, 766021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 50. Let u(o) = -o**3 + 6*o**2 - 6*o + 6. Let r(c) = c**3 - 5*c**2 + 5*c - 5. Give m*r(k) + 5*u(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2076 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u. Let z(b) = -44*b**2 + 82. What is a(z(x))?\nAnswer: 176*x**2 - 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 341 = 14*a. Find the first derivative of -35*y**2 - a*y**2 - 43 - 41*y**2 wrt y.\nAnswer: -174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -121*g + 20. Let r(i) = 61*i - 10. Let j(f) = -2*h(f) - 5*r(f). What is the tens digit of j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(135\/(-18))*(-9)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.1 and -11.1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -53682*x - 2415701. Determine t(-45).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156708062 by 4.\nAnswer: 78354031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13\/2 (b) -1 (c) 0.02 (d) -10 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299.0139 + -299. Round g to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 - 2082*k\/11 - 16524.\nAnswer: 2*(k - 1122)*(k + 81)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 64?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/882 and 25\/72.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 60. Let d be b + -1 + 12\/(-4). Let d*o**2 - 8*o - 9 + 0 + 9 = 0. What is o?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 - 1117*j**2 - 15 - 498*j**2 - 77*j wrt j?\nAnswer: -3230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 3220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 10*s**2 - s**2)*(-12*s**2 - 34*s + 34*s) + (-3*s + 3*s + s**2)*(0*s + 0*s + 2*s**2).\nAnswer: -142*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3204 by -6.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/7 - -1 - (-111)\/(-259). Suppose 3*p + t*h - 20975 + 885 = 0, -2*p = -5*h - 13425. What is p rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -22*k. Let u(a) be the third derivative of a**5\/20 + 3*a**2 - 19. Determine g(u(b)).\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -4 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-10) + 12\/(-30). Suppose -2*a + 106 = 2*j, a = 2*a - o. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s - 28 - 440 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from mtmmmmthtmmmhmmmmhm?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -y - 6. Suppose 102 - 25 = 7*d. Sort y, 2, d in decreasing order.\nAnswer: d, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2677463 divided by 5\nAnswer: -2677463\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 1. Let s(b) = 7*b**2 + 11*b + 4. Let h(x) = -3*j(x) - s(x). Let z be h(-5). Let c = 95 + z. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2499518 or 2499517?\nAnswer: 2499517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -121965*b**4 - 7*b**3 - 1628170 with respect to b.\nAnswer: -487860*b**3 - 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.147 + -0.073. Let d = -1.78 + j. What is the closest to 1 in 33, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**6\/360 - h**5\/20 - 7*h**4\/24 + 12*h**3 + 19. Let k(d) be the third derivative of i(d). What is the units digit of k(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -27*v - 55 + 23. Suppose 4*t + 2 = 5*t - 5*n, -35 = 2*t + 3*n. What is the second smallest value in 0.1, 2\/13, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70143923 to the nearest one million.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 294*u - 18084 + 5442 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -0.02?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241 + 2333?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 9*l**2 + 9*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 18*h**2 + 6*h. Let g(n) = -35*n**2 - 11*n. Calculate 6*g(s) + 11*x(s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**6\/40 + 5*r**4\/24 + 5*r**3\/3 + 5*r. Let p(m) be the second derivative of s(m). Differentiate p(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27530 rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 243948.339 rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 6*w**2 + 6*w - 2. Suppose -6*r = -8*r + 8. Let y be (r*7)\/(-2)*3\/6. Let d be i(y). Solve -5*j - 14 - 15 = -t, -5*t + d = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u + 1676 = 1013 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -7*l - 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-55))\/(8810\/880 - 10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13412.91202 + 131\nAnswer: -13281.91202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6391*v**3 + 14821*v**3 - 8431*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-78)\/9)*(-4)\/(-3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2320)\/38340)\/58)\/(4\/(-9))*4.\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -984 + 997. Let m be y\/(156\/(-16))*(-45)\/12. Solve -6*q = -19 - m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/(q\/(q**(1\/15)*q)))\/q*q*q*(q\/q**(8\/9))\/q)\/(q**(-11))**50 assuming q is positive.\nAnswer: q**(24893\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 77*v + 42. Let p(a) = 54*a + 30. Let y(w) = 7*p(w) - 5*s(w). Let n(b) = -4*b**2 + 5*b**2 - 23*b**2. Calculate n(y(d)).\nAnswer: -1078*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -1\/8*x**4 + 0 + 2*x**2 - x**3 - 4*x. Let g(k) be the first derivative of f(k). What is the derivative of g(t) wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10805295 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3492267km in centimeters?\nAnswer: 34922.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 55a4 (base 12) to base 5\nAnswer: 300414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/970485377?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849431?\nAnswer: 11, 31, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*i - 374 = 43 + 444 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*a + k, -a = 3*a - 4*k + 52. Let u = a + 74. What is the remainder when u is divided by (552\/(-60))\/((-2)\/5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*b - 515*b + 39*b**2 + 957*b.\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/47 or -2071?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r - 104 + 104. Let o(l) = l. Calculate o(k(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 175987, 703762, 1583351, 2814724, 4397851, 6332702?\n\"Answer: -5*o**3 + 175937*o**2 - o + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/40 and -99\/1952.\nAnswer: 9760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*b**3*c - 859*b**3 - b + 6*c**3 + c**2 wrt c.\nAnswer: 7*b**3 + 18*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 4. Let s be n(-6). What is the derivative of -f + 3 - s - f + 1 wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/((118\/236)\/((-3)\/18)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 7, v: 2, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from auauuaaaauaua?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7*g = -12. Suppose 5*x + 5*i = 152 - 37, 28 = 2*x - g*i. Calculate the least common multiple of 4 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -401992 + 2016764\/5. Which is bigger: i or 1360?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101784 (base 12) to base 2\nAnswer: -111101011100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**3\/3 + 2*r**2 - 4*r. Differentiate n(u) with respect to u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of (-1750)\/(-42)*(515213\/371 + (-2)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 5*j - 195 = 41*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6248513 is divided by 3124236?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204116?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + h**2 + h - 78. Let y(k) = 2*k - 2. Let d be y(1). Let u be n(d). Is 4 a factor of (-3)\/6*u + 1*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557972362?\nAnswer: 2, 41, 1913, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -1724531, 84 in descending order.\nAnswer: 84, 4\/3, -1724531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 0.1, -2\/7, -3842?\nAnswer: -3842","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -5292404019577.\nAnswer: -5292404019576.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 54, 4 in decreasing order.\nAnswer: 54, 4, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:45 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -73716777 less than -142895.2?\nAnswer: 73573881.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 6*o**2 - o + 10. Let q be s(6). Let m(y) = -y + 4. Let n(t) = 1. Determine q*n(i) - m(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -20100111112221?\nAnswer: 20100111112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 274.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -47635.37358665 less than 0.4?\nAnswer: 47635.77358665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45056.23 and 0.1.\nAnswer: 4505.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -565 - 2121?\nAnswer: -3016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 6*m - 3. Let u be y(-5). Suppose 4*j - u*j = 2*x + 8, -17 = -4*j + 3*x. Factor j*t + t**2 - 1 + 0*t**2 - 5*t**2.\nAnswer: -(t - 1)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 7 = 2*d + 3*b, -3 = -3*b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3 - 3*v**2 - 8*v + 0 + 2*v**2. Let g be u(-8). Put -3, g, -8 in descending order.\nAnswer: g, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bccb when four letters picked without replacement from ccbbcbcccbccbc?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*i**5 + 840*i - 437*i**5 + 507*i wrt i.\nAnswer: -10280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 2*u**5\/5 - 7*u**4\/6 - 2*u**3\/3 - 8*u. Find p such that j(p) = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1b7 (base 14) to base 9.\nAnswer: -45804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*-1*2. Let t(h) = h**3 - 3*h**2 + 3*h - 1. Let r = 26 - 12. What is the smallest common multiple of t(o) and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3 + 1103*a**2 - 2209*a + 1105 = 0.\nAnswer: -1105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6576.181 centuries to millennia.\nAnswer: 657.6181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 3*h. Let g be (0 - 3\/2)*2. Let i(y) = -y**3 - 9*y**2 - 26*y - 83. Let u be i(-7). Let j(l) = -l**3 - l**2 - l. Calculate g*j(c) + u*f(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l**2. Let r(h) be the second derivative of 0 - 5\/6*h**3 + 116*h + 0*h**2. Give r(c(b)).\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1544 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/8 + u**3\/6 + u**2 - 3*u. Let h(r) be the first derivative of k(r). Differentiate h(d) wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Suppose 2*y - 8 = 3*s, 5*s + 21 - t = 2*y. Let w be (s\/(-4))\/(30\/(-8)). What is the smallest value in 0.4, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 224\/36 + 1 - 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (sqrt(228) - ((sqrt(228) + (sqrt(228) - sqrt(228)*-1) + sqrt(228) - sqrt(228)) + sqrt(228)))*-5)\/(sqrt(60)\/(sqrt(80) - sqrt(5)))*5.\nAnswer: 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times 0.7?\nAnswer: 28.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 88a9523?\nAnswer: -88a9521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 2, a: 1, m: 1, r: 1, s: 2}. What is prob of sequence rsm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.017 + 4.567. Round v to one decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/8, -2, -2\/17 in ascending order.\nAnswer: -2, -1\/8, -2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k**2 - 2*k + 3 - 3.\nAnswer: -22*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1366.02 + 1366. What is the third biggest value in l, 1\/3, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0708895 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 4, -535?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/7 - 2\/7. Let l = -10 + 12. Suppose 4*z - 20 = -5*t, -3*z + 17 = 3*t + l. Solve t*g + 10 = -m*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*1*sqrt(153)*4*6)\/(sqrt(9) + -1*sqrt(9)*-5 - (2*sqrt(81) - sqrt(9))).\nAnswer: 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o + 4*t - 2, 4*o + 5*t = 7. Let p = o - -2. Solve 2*a + a = p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -60. Let d(a) = 4*a**2 + 13*a - 5. Let w be d(v). Calculate the greatest common divisor of w and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/3, 13, -0.2 in increasing order.\nAnswer: -0.2, 0.1, 1\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 27*u**2 - 126*u - 3. Determine h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-16))\/l*l**3*l)**(-8\/9) assuming l is positive.\nAnswer: l**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/25 (b) 992 (c) 5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 10 + (0 - 30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -9, 15177 in decreasing order.\nAnswer: 15177, 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 383.5 - 383.7. What is the biggest value in 0, 2\/7, s, 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122382167*b**4 - 226208950*b?\nAnswer: -1468586004*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4554 + 18215\/4. Are -35.12 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 257.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(0 - -2 - 3). Suppose 2*u - 5 = u, -4*m + l*u = 29. Is (-14)\/(m + 0\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 9. Suppose j = c + 5*j - 17, 8 = r*c + 4*j. Put c, 8, -4 in decreasing order.\nAnswer: 8, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*x - 113 + 29*x + 112)*(-x + 4 - 2*x**2 + x) to the form w + b*x + d*x**3 + q*x**2 and give b.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 + -3 - 41 - -13 - -5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3068234499 to the power of 1\/2, to the nearest integer?\nAnswer: 55392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/70)\/(23\/(-805)*84\/(-8))?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -881*f**2. Let y(p) = -8*p + 3. Calculate h(y(u)).\nAnswer: -56384*u**2 + 42288*u - 7929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70? (a) 1\/7 (b) -1 (c) 2029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*j**3 - 253 - 263 + 513 - 3*j + (-1 - 3 + 6)*(0 + 0 + j**3) to the form k*j + q*j**3 + g*j**2 + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.36 times 0.0483\nAnswer: 0.065688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 6\/7 (b) 0.3 (c) -4\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x - 348 = -22*x - 98 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -778 = -223*q + 4002 + 19750. Let c = -17 + 40. What is the remainder when q is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1465*b**3 + 10*b - 9. Let x be v(1). Let s = -565 + x. Calculate the highest common divisor of 53 and s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (0 - 2) - (-11 + -3 + 7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8183*p**2 - 8180*p**2 - 49*p**3 + 24572*p**2 - 8209*p**2.\nAnswer: -49*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623786 to the power of 1\/2, to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/6*108\/(-48)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1053\/16038*-22*-27\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 5*u - 3*u + (-1 + 1 - 2)*(3*u - 58*u - 48*u) + 2*u - 2*u + u to the form k + a*u and give a.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(2\/1) + 0. Suppose i = 3*f - 7 + 1. Let q = 226 + -222. What is the least common multiple of f and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 5111*s**2\/4 + 439542*s - 440820.\nAnswer: (s - 1)*(s + 372)*(s + 4740)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 1 - 4 - 2. Let h be g(-7). Factor w**2 + w + 0*w - 4 + h.\nAnswer: (w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266264 - -2677.4?\nAnswer: -263586.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -7, -4, -20 in descending order.\nAnswer: 20, -4, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 3. Let i be z(-6). Let o be ((-1)\/9)\/((-1)\/i). Sort o, -0.3, -2 in ascending order.\nAnswer: -2, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 433222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**8*d)\/(d*((d*d\/d**(-14)*d)\/d)\/d*d))**(-36)*(d**(2\/13)\/(d\/(d\/((d**(2\/45)*d)\/d))))**40 assuming d is positive.\nAnswer: d**(97388\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1678074 divided by 1\nAnswer: 1678074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -79. Let u(v) be the third derivative of -1\/2*v**4 + 0*v - v**2 - 2 + 1\/60*v**5 + 5\/2*v**3. Give u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:52 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4311 - 4314. Let q = -0.3 - -0.2. Which is the third smallest value? (a) 0 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5028218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.01 - -0.01. Let n be (-16)\/6 - 4\/(-2). Put m, -1\/6, n in decreasing order.\nAnswer: -1\/6, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -0.804.\nAnswer: -11.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, r: 3, d: 1, i: 6, o: 1}. What is prob of sequence id?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let z(g) = 1238*g**2 + 872*g**2 - 303*g**2. What is z(r(w))?\nAnswer: 7228*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -576 (c) 0.008 (d) -2\/5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n*n**(1\/3))))\/n)**47\/(n**19*n\/((n**(-2\/9)\/n)\/n)))**(-1\/28) assuming n is positive.\nAnswer: n**(59\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 53*d = -50*d + 65, -3*d = 2*r + 61 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/9 in 0, 134, 2\/9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -730, -5, 4, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 2, -1316?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/25 - (-24)\/10. Let c(p) be the first derivative of 0*p + 0*p**3 + b - 1\/4*p**4 - 1\/2*p**2. What is the second derivative of c(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + j**2 - 3*j**2)*(3 + 1 - 7)*(2 - 5 + 4).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 69.03. Let x = 0.96964 + o. Round x to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339 - 339 + 85*t**2 + 884*t**2.\nAnswer: 969*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279144 is divided by 2676.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*j - 130*j = -779*j + 402*j + 17240 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -52*m - 207. Give h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 152 = -5*j. Calculate the remainder when j is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2. Let m(q) = 7*q**2 + 2*q**2 - 7*q**2. Let w(p) = -8*m(p) + 3*z(p). Let s(g) = -24*g**2 + 21*g**2 - 5*g + 5*g. Give w(s(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (sqrt(192) - sqrt(12)) + (sqrt(180)\/sqrt(45))\/sqrt(12).\nAnswer: 3 + 19*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 3*s**2 + 4*s + 3. Suppose 3*o + 2 = 5*l, 3*o + 5*l = -1 - 21. Let v be i(o). Solve 0 = -v*n + 1 - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**3\/6 + 2*g. Let x(m) = 2*m**2 + 2*m - 1. Give -4*l(n) + x(n).\nAnswer: 2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4881118 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.9687735 weeks?\nAnswer: 585914212800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 19 = -3*i + 5, -2*i + 5*m + 23 = 0. Suppose u + i*u = 0. Is u <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2857, 2868, 2879, 2890, 2901, 2912?\n\"Answer: 11*j + 2846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49734407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -0.4, 0.7 in descending order.\nAnswer: 4, 0.7, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + 6. Solve -3*q = q - y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1. Let l(u) = 2*u**2 - 7. Determine -35*h(q) - 5*l(q).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -194b (base 14) in base 6?\nAnswer: -33103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:32 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v**2 - v)*(422 - v - 1070 + 82).\nAnswer: 3*v**3 + 1698*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - 4 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + 86. Let a = -56626 + 396421\/7. Calculate the common denominator of 2*-1 - v\/(-4) and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809854?\nAnswer: 2, 29, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 2\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 118?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9296221 or -1?\nAnswer: -9296221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 15. Let w be i(-8). Let b = 86 - w. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 403*o - 403*o + 2 as g*o + f*o**2 + s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**7\/42 - n**5\/12 - 8*n**2 - 3*n. Find x such that m(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + 0*g)*(-g - 1 + 1) + (-1 + 1 + g)*(-3 - 9*g + 3) - 2 + 4*g**2 + 2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n**2 + 4*n**2 - 2*n**2)*(5 - 3 + 0) + n**2 + n - n to the form m*n + r*n**2 + q and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004291885963 rounded to seven decimal places?\nAnswer: 0.0004292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39880 (base 10) to base 2.\nAnswer: -1001101111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 99 = 5*l - 128, 9 = -3*a. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a - 3*h = 305, 2 = 2*h. Let g be -2*(a\/(-66))\/((-4)\/(-6)). Let u be (2\/g)\/((42\/6)\/(-49)). Put u, -8, -4, -5 in descending order.\nAnswer: u, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16713 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d)**(-12\/11)\/(d**1*d)**46 assuming d is positive.\nAnswer: d**(-1048\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:52 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13862.1 times -0.223?\nAnswer: 3091.2483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 = -125. Let x = -20 + f. Let i be (x\/(-6) - -4) + -1. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -2*x + 204. Let s be (-34)\/(-10) + -1 + x\/(-20). Factor -24*u + 9 + 27\/4*u**s + 45\/4*u**2.\nAnswer: 3*(u + 3)*(3*u - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/4 - (1 + 1). Solve -2*i = -7*i - f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*j - 28. Let o(f) = -11*f + 11*f - j*f. Let b(s) = -2*s + 49 - 49. Give b(o(u)).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 7140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 53020474 - 0.08\nAnswer: 53020473.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 3*n + 2. Let j be p(2). Suppose 12 - 28 = -j*f. Suppose -5*s + 41 = -f. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-18))\/(((-9700)\/1455)\/((-56)\/21))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -32*u**3 - 2*u**2 + 3*u - 4. Let h be f(2). Let v = 392 + h. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020001 (base 3) to base 2.\nAnswer: 1101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 983*(-8)\/4. Let j = -23549\/12 + p. What is the common denominator of ((-13939)\/6312)\/(16\/(-6) + 2) and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -1808.\nAnswer: -1807.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpm when three letters picked without replacement from pdmvd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 28. Suppose -v*l + 340 = 3*l. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05723611167 to four decimal places.\nAnswer: 0.0572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1161828449?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/886513 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, k: 3, m: 5, v: 2}. What is prob of sequence vt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrcrqfrrqf?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/13956566 and 29\/12?\nAnswer: 83739396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2) + -2 + 5. Let w(q) = 3*q - 12. Let c be w(4). Suppose c = -3*j + u*s + 15, 4*j + j + s = 25. Solve t = -j*g - 0*t, 0 = -4*g - 4*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3481 + 48010?\nAnswer: 51491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 505, 50, -5, -3 in decreasing order.\nAnswer: 505, 50, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2540, 2537, 2532, 2525, 2516?\nAnswer: 2505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {u: 4, b: 8, a: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33 - 32*x + 20*x + 11*x**2 - 9*x**2 wrt x.\nAnswer: 4*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.2 - 27.2. Let n = -6 - -1. What is the closest to 1\/4 in 1, o, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-4)\/(16\/5900). Suppose -3*n + y = n. Let d = -153 + n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 8*k + 4. Let p be r(8). Suppose 0 = -8*b + p*b + 28. What is the highest common factor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/20)\/(34\/(-3315)) - 378\/42.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-1586.\nAnswer: -22204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-2)\/3 + 2). Is -1 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -4*b**2 + 5\/4*b**4 + 0*b**3 - 3*b + 0. Find the first derivative of u(g) wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/120 + 3\/(-45)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 - -0.1. Let d = 7.6 - w. Let b = d - 10.000009. Round b to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 - (5 - 1 - 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 52, 110, 190?\n\"Answer: 11*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 11. Let m be l(5). Let p(y) = 2*y**2 - 10*y - 16. Let i be p(m). What are the prime factors of 12\/(-48) - 105\/i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -5*r**3 + 7*r**2 + 6*r**3 - 4*r**2 + 30 + 4*r**2 - 33*r. What is the derivative of o(q) wrt q?\nAnswer: 6*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193915289?\nAnswer: 193915289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7252.407 kilograms in tonnes?\nAnswer: 7.252407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 30044?\nAnswer: -30050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + z**3 - 2*z**3 + (-3*z**3 + 3*z**3 - 2*z**3)*(-5 + 2 + 1) + (1 - 2*z - 1)*(-71 + 71 - 13*z**2).\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284141544 or 284141545?\nAnswer: 284141544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 102625514?\nAnswer: 102625513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f = q - 21, 3*f = -4*q + 8. Let m(v) = 361*v + 6. Let b be m(q). Suppose 12*k = b + 265. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16032.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -7\/2 (c) 21\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 554 + -552. Solve -6*n = -0*n + p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35236)\/3064 - 207\/6.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -121, -199, -375, -685, -1165?\n\"Answer: -6*m**3 - 13*m**2 + 3*m - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 7, 3, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 100 = -2*x, -3*n + 305 = 3*x + 2*x. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624 and 17186?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 13 + 1\/12*h**3 + 1\/8*h**2 - 1\/2*h. Factor w(z).\nAnswer: (z - 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17482171.\nAnswer: 7, 17, 31, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3547070 is divided by 538.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112722063*l**5 - 137*l - 20592 wrt l?\nAnswer: 2254441260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -52240400 greater than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10027.42 minus -0.002?\nAnswer: 10027.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y - 3*y)*(2*y - y - 3*y)*(-1 + 3 - 5).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126420 divided by -60.\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3480 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.8 + 0.2. Let f = 7.24 + -0.24. Let k = w - f. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 * 33.\nAnswer: -2475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 + -1f?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 5 + 3 + 1.\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221147\/174 - -1271. Calculate the common denominator of 45\/11 and c.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 7 + 3. Let k(m) = 5*m**2 - 4. Let y(z) = 6*z**2 - 5. Let j(r) = 5*k(r) - 4*y(r). Let t be j(h). Solve -4*b = t + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**5\/20 + 3*s**4\/4 - s**3\/6 - 7*s**2 + 9*s. Is 11 a factor of v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 22*d + 6. Let k(a) = -7*a - 2. Let u = 148 + -145. Suppose 10*r - 7*r - 30 = 3*v, -u*r + 30 = 2*v. Calculate r*k(s) + 3*p(s).\nAnswer: -4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -345, -1 in increasing order.\nAnswer: -345, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 22. Suppose -14 = j + 3. Let l be c(j). Sort 3, 0, l in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 17 + 14 - 34 + q. Let n be t(4). What is the derivative of n - 7*a**3 + 1 - 10 wrt a?\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99158936 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2576025 and 675?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g - 3*c = -216, -3*c + 350 = 5*g. What are the prime factors of g?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 8*k + 9. Let q be l(6). Let b = 17 - q. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2850 - -4552. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 5, -14, -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178 - -70. Let w be (0 - (-2)\/16)*j\/(-18). Which is the smallest value? (a) 2 (b) -2\/9 (c) w (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ydyvd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45374.\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(5)*1)**2*2 - sqrt(5)).\nAnswer: -sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 17.9928. Round d to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 140350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 - 9*z**3 + 11*z**3 - 8*z**3.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:43 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 12:49 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64799, 129776, 194753, 259730, 324707, 389684?\nAnswer: 454661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 596907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -37. Which is the closest to -0.3? (a) -4\/7 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*p - 38, -2*p = -5*o + 17 + 25. Suppose -145*u = -135*u. Solve 4*i + 2*s = -u + o, 0 = -i - 2*s + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n = -55*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z = 4*z - 2107 + 2459 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = -3*u. Let t be 7 + (-1)\/((-2)\/u). Solve -8 = 5*s - t*s + 4*q, q = -3*s - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6104 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: What is the closest to -1\/2 in 1\/6, 0.4, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21441 - -22?\nAnswer: 21463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -775.56 - -28167305.8?\nAnswer: 28166530.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 17 = o, -2*o - 2*v + 34 = 2*v. Calculate the remainder when (2\/(-6))\/((-912)\/2079 + (-36)\/(-84)) is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (4 - 4) + 5 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 13 = 3*k, -2*k - 14 = 3*f - 5*f. Let j = k + 9. Suppose o = -j*g + 2*o + 15, 4*o - 40 = -4*g. What is the greatest common factor of g and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 402\/105 - ((-36)\/(-15))\/(-6). What is the nearest to w in -2, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0*u**3 + 0 - 1\/20*u**5 + 0*u**2 - 2*u - 1\/12*u**4. Factor i(g).\nAnswer: -g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, -9, -32, -65, -108, -161?\n\"Answer: -5*b**2 + 2*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7189 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l - 14*l - 1680. Let f = -50 - -78. Calculate the remainder when l is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933046244?\nAnswer: 2, 13, 23, 691, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z**2 + 2*z)*(-2 - 2 + 3) - 7 + 15 + 12*z**2 - 5*z - 6.\nAnswer: 11*z**2 - 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 12. Let f be d(7). Let x be 15\/(-3)*(-4)\/f. Solve -x*m + 2*b + 26 = 0, 3*b - 2 - 3 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**2 + 6*d - 7. Is g(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*x + 2809*x + 11256*x.\nAnswer: 14129*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 56*p - 8 + 13 + 87. Let x(f) = 2*f + 1. Let l(y) = t(y) + 12*x(y). Differentiate l(n) with respect to n.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/18035 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24674897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*h**4 - 8*h**4 + 15*h**4)*(1 + 1 + 0) - 2*h**4 + h**4 + 2*h**4 to c + y*h**3 + w*h**4 + k*h + u*h**2 and give w.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*p - 40 = -8, -31 = -3*n - 2*p. Suppose 3*y + 0*y + 17 = q, y + 7 = q. Let l = 1 - 1. Solve l = q*t + t + n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 14*s - 10. Let p be d(5). List the prime factors of (1042\/4 + 2)*p\/45.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/15*(-2)\/((-4)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-47)\/(1551\/(-264)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -607407*-1.1\nAnswer: 668147.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 150*v. Let o(k) = 621778*k. What is x(o(c))?\nAnswer: 93266700*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 3:38 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/7 + 701112*a**2\/7 + 1402230*a\/7 + 701116\/7 = 0.\nAnswer: -1, 350558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -517, -2205, -5007, -8911, -13905, -19977?\n\"Answer: 2*x**3 - 569*x**2 + 5*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 12 - -14*(-3)\/(-3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.039 - 0.061. Let l be ((-2)\/(-6))\/((-4)\/9). Which is the second smallest value? (a) l (b) -1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 66\/(-9) + (-2)\/(-6). Let c(w) = w**2 + 7*w + 2. Calculate c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 32*q + 159. What is the remainder when 1558 is divided by f(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17 + 1)*(-42)\/(-9). Let v be (-2)\/8*x\/(-10). Let c = -23\/5 + v. What is the third biggest value in -2\/9, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123130320 + 3?\nAnswer: -1123130311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15585793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + 1*(sqrt(3) + (0 + sqrt(3))*6) + 4)*3.\nAnswer: 10 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfsssfssfssssssssss. Give prob of sequence ff.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 - 3*d - d**3 - 3*d**3 - 47*d + 5*d**3 as p + f*d + t*d**3 + x*d**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**3 + 0*i + 21*i**2 - 8*i**3 + 18*i - 46. Let y be j(-20). Let g = y - -12. Calculate the remainder when 93 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5\/3, -2\/15, -1\/5, 87, -2, 1\/14?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3842 by 1.\nAnswer: -3842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + w**2 + 1. Let z(d) = 2*d**3 + d**2 - d - 3. Let u(f) = 3*k(f) + z(f). Let v be 186\/42 + 12\/(-28). Suppose -v*b = 100 - 108. Calculate u(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -29*o. Let z(t) = 2333776*t. Determine z(a(h)).\nAnswer: -67679504*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 292\/87?\nAnswer: 292\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(10) - -5*(sqrt(110)\/sqrt(11) - sqrt(10))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -736*i**3*n**2 + 180*i**2*n**2 + 2*i**2*n - i*n**2 wrt i.\nAnswer: -4416*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18861 - -28322. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2595)\/(-135) + 2\/(-9). Let v = 2 + -16. Let f = v + x. Solve 0 = -f*c + 5*m - 30, 3*m - 18 = 4*c + 2*m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64479806 is divided by 11060.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -866, -3009, -6462, -11231, -17322?\n\"Answer: -c**3 - 649*c**2 - 189*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*l**2 + 4*l - 4*l + 55*l**2.\nAnswer: -163*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679740346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 4*j = 160. Let c = j + 69. Suppose 2*l - c = -5*z + 12, -5*z + 2*l + 45 = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*r + 11, r + 15 = 6*r. Let d(y) = 8*y**3 - y + 1. Let v be d(1). Let q = n + v. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/4112575 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8088, 1\/10, 2\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 99 = 19. Let t be (-1)\/(1\/(-5)) - -1. Let n be 1\/3 + 22\/t. What is the greatest common divisor of n and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 7, t: 1, x: 3}. What is prob of sequence tx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 + 179.544479\nAnswer: 179.578479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 10*g)*(2*g**4 + 20*g - 6*g + 33*g) + g**3 - g**3 - g**5 + (-2*g**4 + 6*g**4 - 2*g**4)*(2*g + 3*g - 4*g) - g**5 + 0*g**5 - g**5.\nAnswer: -21*g**5 - 470*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-3 - -4)*(-3 - -3). Suppose -2*n + 10 = c, n - 385 + 3649 = h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 239975.1 and 0.3.\nAnswer: 239975.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 51699 - 83922 + 23697. What is the thousands digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 + 781a181?\nAnswer: 781a1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 782440*u + 30610617680.\nAnswer: 5*(u + 78244)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 32 = -q - 13, 5*x = 4*q - 32. Let y be -2*2 + 2 + -1. Put q, 4, y in descending order.\nAnswer: 4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/5 - 21\/10. Sort 1, q, 2\/7 in descending order.\nAnswer: 1, q, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -180, -272, -400, -564?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**3 - 24*y**2 + 24*y**2 + (-1 - y**2 + 1)*(2*y - 4 + 4).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(98\/35) - -2. Let r(o) = -o**3 + 2*o**2 + 3*o - 4. Give r(w).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -1.36. Let j = y + -0.94. Let z = 1.5 + j. Sort z, -3, 0.1 in decreasing order.\nAnswer: z, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/48 and 27\/116?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from {h: 7, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.3 + 8.7. Let w = m + 44.599999037. What is w rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdqjdtdddqqdrdrtqrt. Give prob of picking 1 t, 2 r, and 1 q.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -332*d**2\/5 + 87646*d\/5 + 528\/5 = 0.\nAnswer: -1\/166, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 + 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9719165 litres?\nAnswer: 971.9165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75\/4 or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -4*g**2 + 27\/2*g**3 + 0 + 9\/20*g**5 + 0*g - 27\/8*g**4 - 1\/40*g**6. Factor b(r).\nAnswer: -3*(r - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1. Let g(l) = -l + 8. Let o(s) = g(s) - 6*u(s). Calculate the remainder when o(-8) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 = 2*c + 3*c, -3*q + 4*c = 7. Suppose 4*a - 62 = -q*h, 2*a - 74 = -4*h + a. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**4\/12 + h**2. Let k = -11 - -13. Let o(x) = k*x + 2*x - 3*x. What is o(y(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 + 81920*b\/9 + 17763512\/9.\nAnswer: 2*(b + 218)*(b + 40742)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -2\/15, -1\/23, -164526\/19?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 76*g**2 + g**3 - 55*g**2.\nAnswer: -2*g**3 - 131*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -212.3136538 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 12*y**2 - 9*y - 55. Give x(10).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, 4, 215, 516, 907?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 579*k + 96499. Calculate o(-167).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from zalrn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2888600 (base 10) to base 8.\nAnswer: 13011630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17*z**2 - 2*z + 2. Let k = -39 + 36. Let d(l) = 2*l**2 + 4*l - 5. Let x be d(k). Let p be n(x). Solve 3*h - 6 = 3*q, 3*h + 4*q = 4*h - p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a - 15. Suppose a*b = 6 - 0. Let w(g) = g**3 - 2*g**2 + 4*g - 3. Give w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217665 divided by -105\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -64. Let j = 19.9 + 3.1. Let d = j - 24. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70.1 - 82.28. Let a = 0.18 + t. Let d = 12.4 + a. Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 40 - 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 98083401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 0.5, -2\/931, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/1128 and 1\/3?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268526943 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.075301 rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 429 and 63.\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4931 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.9, 32\/5, -3?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 49886\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3602*t - 4577*t + 856*t)*(-2 - 3 + 2).\nAnswer: 21969*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 + 2\/(-3). Let t(n) = 45*n**2 + n + 1. Let p be t(-1). Let y be (-6)\/p*(-15)\/9. Which is the closest to v? (a) -4 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29344 divided by 18256.\nAnswer: 262\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 46 = y, 27*i - 28*i = 5*y - 135. Calculate the remainder when 81 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 10 = x - 6*z, 4*z + 30 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1396*v**3 + v**2 + 153*v + 2?\nAnswer: 8376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + k - 58 = -15, 15 = -4*g + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 7 - 5 - 5)*(-10 - 25 - 110) + 0*l + l + 2*l.\nAnswer: -287*l + 435","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**3 + 10388*a**2 - 4*a - 10388 = 0?\nAnswer: -2597, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -338 + 693. Let r = o - 353. Factor -3\/2*z**r + 1\/4*z**3 + 1\/4*z**4 + 2 - z.\nAnswer: (z - 2)*(z - 1)*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 56\/7 + 8\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 3*p. Suppose -4*w - 3*s + 25 = -2*s, 4*w - 4*s = 0. Suppose -w*c - 2*t - 11 = 10, t + 3 = 0. Sort p, 3, -4, c in increasing order.\nAnswer: -4, c, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2329.57 + -2320. Round t to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -58.4.\nAnswer: -58.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1146227197 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2105*r + 640*r - 100*r**2 + 99*r**2.\nAnswer: -r**2 - 1465*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, -4, -6.\nAnswer: -6, -4, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r + 5*r)*((-4 + 5 - 3)*(1 + 0 - 3) + 147 - 26 + 3)*(-2 + 3 - 2).\nAnswer: -384*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(2\/9)\/d))**14)**29)**(40\/3) assuming d is positive.\nAnswer: d**(259840\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20f + -146?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8))**(2\/53)*(w\/(w*w**(18\/11))*w)\/w*w*w**(-16)*w assuming w is positive.\nAnswer: w**(-36453\/2332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2819 and 4.\nAnswer: 11276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2. Let o(c) = 8*c**2 - 5*c + 5. Let b(s) be the first derivative of -8*s**3\/3 + 2*s**2 - 4*s + 16. Let g(v) = -5*b(v) - 4*o(v). What is x(g(y))?\nAnswer: 320*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 - 2*c**3 + c**2)*(-193 - 62 - 26 - 515) as s*c**3 + h + d*c**2 + q*c and give s.\nAnswer: 1592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 6) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 9*k**2 + 4*k + 8. Determine o(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*g + 147*g = -1292. Let k(b) = 10*b**2 - 5*b. Let y(w) = 29*w**2 - 14*w. Let n be ((-3)\/4)\/(2\/(-16)). Give g*k(v) + n*y(v).\nAnswer: 4*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 4.2?\nAnswer: -138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -56, -84, -152, -272, -456, -716?\n\"Answer: -2*j**3 - 2*j**2 + 20*j - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 1690*f - 142805.\nAnswer: -5*(f - 169)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/10)\/(112\/(-20)*(-69)\/(54096\/32))?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 1\/4*n**4 + 2\/3*n**3 + 1\/30*n**5 - 3*n**2 + 0 + 0*n. Determine a, given that s(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3874.\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/13 + 31630*d\/13 - 568692\/13 = 0 for d.\nAnswer: 18, 15797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 3, z: 1}. What is prob of picking 1 u and 2 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2 - 2 + 2*p. Let h(a) = 6*a - 5. Let b(s) = -17*s + 10. Let n(x) = 18*x - 9. Let v(t) = -3*b(t) - 2*n(t). Let r(f) = -12*h(f) + 5*v(f). Give u(r(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1250*c + 4492*c + 5232*c + 8872*c.\nAnswer: 17346*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1331242423 (base 5) to base 16\nAnswer: 33a331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/16, 0, -2\/21, 25, 143?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(76)*2)**2.\nAnswer: 32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2509 is divided by 77?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 39393139 - -9.2\nAnswer: 39393148.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z + 16*z - 2*z - 2*z - 6*z. Let l(t) = -43*t. What is c(l(u))?\nAnswer: 43*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18337, 18338, 18339?\n\"Answer: x + 18336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 5. Suppose 0 = 2*f - n*s + 2*s - 25, 4*s - 8 = -4*f. Suppose o - 17 + 13 = 0. Calculate the least common multiple of f and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136915 divided by 5.\nAnswer: -27383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.5 + -15.24. Let x = y - 3.2778. Which is bigger: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 105 = -6*j. Suppose 3*x - j*g - 11 = 6, 3*x - 9 = -3*g. Solve 5*o = -3*m + 7, -x*o - 6*m = -4*m - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 690500 to the nearest ten thousand.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-14\/9)*l)\/l**(-23) assuming l is positive.\nAnswer: l**(211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -93588837 * -0.5\nAnswer: 46794418.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21020101 + -12?\nAnswer: 21020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 852. What is r(-129)?\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, 15\/7, 4, 0.4?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/3 - (-24)\/36. Suppose 191 = u*n - 1. What is the remainder when n is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 30*r**2 - 30*r + 31. Let b be z(29). Suppose o + 3*t + 15 = 0, b*o - 20 = -3*o + 4*t. What is the closest to 5 in -3, 2\/15, o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhyldlylhylhdyd. What is prob of picking 2 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2\/13, -8, -4\/48105, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c + 10 - 6*c**2 - 8\/5*c**5 + 0*c**4 + 0*c**3. What is the second derivative of s(z) wrt z?\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -12*z**2 - 16*z - 46. Calculate f(-4).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 24 = 3*b, -20 = -9*a + 10*a - 4*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2016*k**3 - 2*k - 998*k**3 + 2*k - 1019*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15022 + 48465. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15848710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8473 + -1245529\/147. Let l(w) be the second derivative of 0 - 21*w - q*w**7 - 1\/35*w**5 + 0*w**4 + 0*w**2 + 0*w**3 + 4\/105*w**6. Factor l(k).\nAnswer: -4*k**3*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 102 + 93 = 0. Let a be 4 - (-1 - 9\/o). Suppose a*m + 2*m = 4*v, -3*m - 4*v = -14. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2744698 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116634 and 113652?\nAnswer: 315611604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9171.7 + 9172. Which is the third smallest value? (a) 74 (b) x (c) 4 (d) -1\/7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*x + 15, 0*v + 2*x + 6 = -5*v. Suppose v = r - 6*r + 10. Solve 4*d + a + r = 1, 0 = -d - 3*a + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**3 + 17972*q**4 - 17841*q**4 - 316*q + 44*q wrt q?\nAnswer: 1572*q**2 - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/9)\/(u\/(u\/(u\/(u*u**(2\/17)\/u))*u)*u)*(u**8\/u)\/u**(1\/10))**44 assuming u is positive.\nAnswer: u**(217514\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - n + 0*n. Let c be r(-2). Suppose 0 = -3*o - c*d + 38, -29 - 23 = -2*o + 4*d. What is the greatest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -t + 4 + 6, x - 11 = 4*t. Suppose 2*c + 2*j - 4 = 0, -5*c + x*j + 30 = -2*c. Solve -2 = -4*s - c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1136848779 to the nearest integer?\nAnswer: 33717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 54861 to the nearest one thousand.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1545 + 1650. Solve -4*w + 97 = i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(((-189)\/22)\/(-7)) and 59\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -23. Let j(p) = p**3 + 11*p**2 + 19*p + 6. Let z be j(-9). Which is the second smallest value? (a) -0.1 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 184, 1682, 5750, 13672, 26732, 46214, 73402, 109580?\n\"Answer: 214*u**3 + u**2 - 3*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*j - 2 = 0. Let q(m) = 18*m. Let f be q(j). Suppose -72 = f*s - 20*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/21 + 121513004*k\/21 + 1845676267638002\/21.\nAnswer: 2*(k + 30378251)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216 + -1946\/9. Which is the smallest value? (a) 1\/4 (b) y (c) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*x + 10, 68*x - 75 = 65*x + 54*v for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*q = -5*q + 1128. Are q and -526\/49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.84 from -648.\nAnswer: -648.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 2\/((-7)\/((-63)\/2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2*m + 5*m - 2*m) + 13*m + 2 + 3*m + 21*m + (6*m - m - 4*m)*(1 - 2 + 2).\nAnswer: 36*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -6, -21 in decreasing order.\nAnswer: 3, -2, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g + 69 = 0. Let f = g + -19. What is the derivative of 6*p**f + 10 + 9 - 3 + 4*p**4 wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 24. Let a be d(14). Let b be 1170\/130*(7\/3 - 2). Let m(y) = y**2 + 3*y. Let f(z) = -2*z**2 - 4*z. What is a*m(s) + b*f(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -740 + 764. What is the lowest common multiple of u and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246247 is divided by 69?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o. Suppose 0 = -10*t + 6*t + 8. Let p be (t\/(-5))\/(1\/(-10)). Suppose 6 = p*g - 6. Determine z(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 11*v**2 + 11585*v + 102642. Calculate x(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0, -13 in increasing order.\nAnswer: -13, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*n**3 - 89*n**2 - n + 6002 wrt n.\nAnswer: 54*n**2 - 178*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, 2\/3, -1, -1\/4, -638 in increasing order.\nAnswer: -638, -1, -0.4, -1\/4, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177255660.\nAnswer: 2, 3, 5, 307, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*u - 1008273*a**2 - 72*a*u + 91*a + u + 10 wrt a?\nAnswer: 8*u - 2016546","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -318*h + 321*h - 15. Put 0, -5, h in descending order.\nAnswer: h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 17*f - 232. What is the remainder when 165 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1947, 17294, 46051, 88218, 143795?\n\"Answer: 6705*v**2 - 4768*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -39*o**2. Let n(x) = -211*x**2 + 2*x - 9. Calculate n(r(z)).\nAnswer: -320931*z**4 - 78*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u - 269. Let q be s(-29). Let a(m) = 7*m + 465. Let g be a(q). Let -9\/4*t + g*t**2 + 21\/2*t**3 + 0 + 3*t**4 - 9\/4*t**5 = 0. What is t?\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-2)\/4 - (-525)\/50). What is the hundreds digit of 105\/d*64\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.066808 - 88.040808. Let a = j + -0.026. Let d = 88.2 + a. Which is bigger: d or -0.08?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b**2 + 11*b - 4. Let d(y) = -15*y**2 + 23*y - 9. Let x(j) = 6*d(j) - 13*u(j). Let p(g) = -43*g + 261. Let w be p(6). Give x(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -4*t - 36. Let d = -36 - t. Suppose 7*u - 744 + 324 = 0. Calculate the highest common divisor of u and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93164 (base 10) to base 16.\nAnswer: 16bec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*f**2 + 883 - 661 + 611*f**2.\nAnswer: 5*f**2 + 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15436 and -0.34.\nAnswer: -0.0524824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 236539789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (1 - -22) - 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220201 (base 4) to base 8.\nAnswer: -45041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 46. List the prime factors of 94\/2 - r\/3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7))**(-36)*x**6\/x**(-6))\/((x\/x**0*x)**11)**(-9\/7) assuming x is positive.\nAnswer: x**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m + 21. Let g(k) = k - 1. Let o(i) = -5*g(i) - w(i). Calculate o(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70631738*p**4 - 5*p**2 - 9826298*p wrt p?\nAnswer: 1695161712*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/22 and (-166)\/(-56) - (-15)\/20.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -339.2 - -339. What is the third biggest value in n, 3, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-17)*2*2\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/105 + 14955\/21?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*o + 7*h**2 + 1418*h*o - 2*h - 192841*o with respect to h.\nAnswer: 4*h*o + 14*h + 1418*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = -18*y - 45 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 36 - 17 - 17 + 5*b**2. Let q = 78 + -74. Suppose -q = 3*p + 2. Give d(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/64536 and -67\/10.\nAnswer: 322680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2565300 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -113.\nAnswer: 45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/561316003 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 3*j + 5. Let p be h(5). Let m be p\/(-28) - 1\/(-4). Suppose -m*r = -4, -3*c + 11 = 4*r - 2*r. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 323401 (base 5) to base 16\nAnswer: 2b5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let y(q) = 28*q**2 - 10*q**2 - 10*q**2. Determine y(r(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/54 and 19\/146607540.\nAnswer: 1319467860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 51, 55?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2380\/255)\/((-24)\/(-171))*(-8)\/(-28)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 579665 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46902962 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 8) in base 16?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let i = 7 + -13. Let v = 8 + i. Solve -5*s + 15 = 0, v*u + 5*s = -k*s + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 78*d = -73*d - 20, 20 = 4*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 22. Let w be 1\/(5\/t*2). Solve -1\/3*k**3 + 0*k**w + 0 + 1\/3*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(364)\/(sqrt(21)\/sqrt(3) + sqrt(7)))\/(-5*(sqrt(4)*2 + sqrt(4))))**2.\nAnswer: 13\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 9057160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 599599 divided by -599599\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/35)\/z*z\/(z**(-31)\/z) assuming z is positive.\nAnswer: z**(1122\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4231 + -9334. Let s = c - -112303\/22. Calculate the common denominator of ((-3610)\/(-20))\/(-19)*(-3)\/(-2) and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*o**2 + 99*o**2 + 14*o**2 + 169*o**2 + 7*o**2 to k*o**2 + c*o + s and give k.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 + 110.2. Round h to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((3\/(-63))\/(-1)). Let a = -22 - p. Which is greater: a or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/21 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -66*w**2 + 55*w + 55. Let c(d) = d**2 - d - 1. Let f(m) = 55*c(m) + t(m). Let r(g) be the second derivative of 5*g**4\/12 - 3*g. Determine f(r(x)).\nAnswer: -275*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-39716)\/59592 + (15 - 13). Are d and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-2.01\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Let f(q) = -6*q**2 + 48*q - 77. Let v be f(2). Put w, -1, -2, v in decreasing order.\nAnswer: w, -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)*b*b*b**(4\/9)*b**(-4)\/b**(-3\/4) assuming b is positive.\nAnswer: b**(-281\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4165 (b) 5 (c) -4 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37325 = 115*d + 14900. Calculate the greatest common divisor of 2895 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/1143 and -74\/21.\nAnswer: 8001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 5. Let k(x) = -x**2 + 4*x + 11. Suppose 63*y + 43 = -209. Give y*k(f) + 9*p(f).\nAnswer: 4*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 3112023021?\nAnswer: -3112023031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-5)\/(600\/(-48)). Factor 13\/4*y**3 + 9\/4*y + 6*y**m + 0 + 1\/2*y**4.\nAnswer: y*(y + 3)**2*(2*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -127 and 29.\nAnswer: -3683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7017b (base 13) to base 3.\nAnswer: 101011121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0 - (8 + -5))\/(-1). Let x be ((-12)\/(-8))\/((-3)\/4). Let w = l + x. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 17426 = 6*q - 2*q, 6*q - 5*q = 0. What are the prime factors of s?\nAnswer: 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.0165?\nAnswer: -0.00825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o**3 - 3780*o + 3780*o.\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 436927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10548273?\nAnswer: 3, 443, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 112 = -5*k. Let l be (11\/(-44))\/(2\/k). Solve -l*g + 4 = -2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51777119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -505928\nAnswer: 30355.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3060 - -8322. List the prime factors of u.\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/60 and 51\/824?\nAnswer: 12360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fb + f?\nAnswer: -ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 275. Let l be u(37). Let j be (-4)\/(-6) - (l\/(-21) + 12). Suppose 5*f = 4*b + 19, 3*b = 3*f - 18 + 6. Solve 0 = -f*g - j*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10248, 20368, 30488, 40608, 50728, 60848?\nAnswer: 70968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and (7590\/(-550))\/(1\/(-35)) + -7?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 558*o**4 - o**2 + 24*o + 14?\nAnswer: 6696*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, t: 8}. What is prob of sequence tttt?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60479441*k**4 + 5111*k + 10699 wrt k?\nAnswer: 725753292*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 18 - 19)*(-2*o**2 - 5*o**2 + 2*o**2 + 0*o**2).\nAnswer: 315*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11234, 10936, 10440, 9746?\n\"Answer: -99*x**2 - x + 11334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/5 + 14041*k**2 - 1232220608*k\/5 + 1232150404\/5 = 0. Calculate k.\nAnswer: 1, 35102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 9*a + 11. Let t be b(8). Suppose 3*c - 13 - 44 = 0. Differentiate -7 + t - 1 - c*x**3 with respect to x.\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4436)\/(-16) + 11\/(-44). Calculate the remainder when (-45)\/(-105) + q\/7 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, r: 9}. Give prob of picking 3 r and 1 k.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 92, 131, 154, 155?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/20 in -1, -5, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (5 + -14 + 7 + 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -g + 20, 0 = 4*l + 4*g - 1632. Suppose -l = 17*z - 1497. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-108 + 17*i**3 + 108).\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -257 or -256?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -51*c + 47, 5*c - 3 = 4*c + 110*l - 112*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-6 + (-5 - -26))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**2 + 3*n**2 + 2*n**2 + 3 - 3 + 2*n**2 - 2*n + 2*n - 2*n**2 + (2 - 2 - 2*n)*(-2*n - 3*n + 3*n) + 7 - 7 - 5*n + 2*n**2 + n**2 - 4 + 4.\nAnswer: 5*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*(55\/35 + -2). Let h be 10\/6 + 2\/6. Solve h*a + s*a = -5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 13. Solve -2*o + r = -x, -5*x - 5 = -o + 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -56*m. Let h(c) = -6*c. Determine p(h(q)).\nAnswer: 336*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 840, 1\/6, -628?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-18)\/4 - 285\/570. Let o be (-209)\/(-9) - 12\/54. Let j be o + (0 - -2) - 0. Solve 9*b = z*b + j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {w: 1, v: 6, a: 5, j: 6, n: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 7770*w - 169975. Calculate d(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2051004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of -2*30*8\/18*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-976)\/1920 - (-8)\/12 and 43\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 1, e: 2, p: 2, h: 2, j: 5}. What is prob of sequence hp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y - 27. Let w be o(-6). Let l be ((-25994)\/2 - w)*(-1 - 0). Round l to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -5. Suppose 0 = q*k - 10 - 5. Solve 0 = d + k*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/3)\/(2 - 3). Let x be (s - -2) + 87 + 3. Calculate the highest common factor of x and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*o - 5*p - 32, -4*o - 2*p + 265 - 271 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4 + 6*j - j**3 + 1 - 6 - 5 - 6*j**2. Let z be d(-7). Solve 11 - z = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 24 - 7 + 9 - 106*f - 30.\nAnswer: -106*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -407*u - 8112. What is o(-20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 3*n**5\/20 + 94*n**2. Let f(h) = 6*h**2. Calculate f(k(t)).\nAnswer: 486*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*f**2*r - 477994314*f**2 - 736305*r wrt r.\nAnswer: 24*f**2 - 736305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(170) + sqrt(170) + sqrt(170))\/sqrt(10))**2 - (1*sqrt(1700))**2.\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1662041, -1662042, -1662045, -1662050, -1662057, -1662066, -1662077?\nAnswer: -1662090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*q + 12, 4*q + q - 3 = -4*o. Solve 0 = p - 3*s - 13, -4*s - 14 = -q*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -78901312916301.\nAnswer: 78901312916300.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 - -157.7. Let i = 11 - 8. Let w = -31\/28 - -6\/7. Which is the nearest to -0.1? (a) i (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7*v + 9*v + 7 = 0, -m + 5*v - 8 = 0. Solve -4*u = h - 21, u + m = 5*h - u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k + 4 = 0. Let i be (-2)\/k + -2 - 2. Is 11 a factor of 1\/14*610 - i\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15*x. Let w be d(10). Suppose h - 2*n - 428 = 0, -h + w = 5*n - 250. Is 37 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.86 + 15.818. Let x = 0.042 + y. What is the third smallest value in 1.4, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 9) in base 12?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 7) in base 9?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1282337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9 + -6 - (-70)\/18 and -31\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 111314256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 884 - 504. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1651 - 767. Let n = d - 878.57. Round n to one dp.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - j + 6, 0*n + 4*n = -3*j + 11. Sort n, 4, -3.\nAnswer: -3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f + 9. Let y(k) = 1. Let w(j) = -l(j) + 3*y(j). What is the remainder when w(-3) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*((z*z*z*z\/z**(3\/4)*z)\/z)\/z*(z\/z**(1\/4)*z)\/z*z*z*z*(z*z**(-1)*z)**16 assuming z is positive.\nAnswer: z**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 10)*(-3 + 1 + 0)*(-58 + 7 - 77)*(2 + 1 + 0)*(3 - 3 + h).\nAnswer: 6912*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1074*(-2 - 2\/(-6)). Let o = -1210 - f. Suppose -z + 73 = -4*c - 60, -5*z = -3*c - o. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45624 divided by -22812\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.0252 (b) -3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 7:59 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-38))\/((-2)\/(-6))*45\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1147284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -310 - 320. Let l = w + 631. Solve m = l + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*y - 96*y - 248. Calculate the remainder when y is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 1, g: 2, h: 8}. Give prob of sequence hh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2506, 1, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 228657*x + 2743909. What is r(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 1)*173\/2. Let o = -221 + s. Calculate the common denominator of 115\/14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 5*k**2 + 7 - 6 + 8*k. What is the hundreds digit of y(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 11:45 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(6)\/sqrt(2)) - sqrt(19))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 10. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/12 + 11*v**3\/3 - 22*v**2 - 6776*v. Determine j(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -3, -2\/47, -0.06 in ascending order.\nAnswer: -3, -0.06, -2\/47, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -91*x + 36. Let c(b) = 90*b - 37. Let a(l) = 3*c(l) + 2*t(l). Differentiate a(y) with respect to y.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -41. Let x = -18.91 + i. Let r = -0.12 - x. Round r to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 - 7*x - 7. Let c(g) = -3*g**2 + 7*g + 6. Let v(b) = -5*c(b) - 4*r(b). What is v(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 - 261\/2. Is -4 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28594*b**2 + 116*b + 2\/17.\nAnswer: 2*(493*b + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*t = 8, -5*z + 8 = -7*z + 2*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171649 is divided by 284?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 2:33 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m**2 - 23. What is t(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5132 - -0.26.\nAnswer: 5132.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3)\/2))\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, 0.087, 13 in descending order.\nAnswer: 13, 0.087, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b + 2. Let p(z) = 17456*z - 34912*z + 17452*z + 1. Give 11*p(u) - 6*q(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -7*s**5\/5 - 10*s**3\/3 - 27. Find the third derivative of a(y) wrt y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) + sqrt(147)*-1 + sqrt(147) + sqrt(147) + 4) - -5*(-1 + sqrt(147)))**2 - (0 + -1*(-2*sqrt(3))**2)*-3.\nAnswer: -504*sqrt(3) + 2397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**3 + 17*m + 3. Let c be n(-5). Let d = c - 297. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-94)\/(-14) + 4\/14 + -2. Let f be b\/(-30) + 242\/12. Suppose -f*x**4 - 5*x**2 + 2*x**2 + x**5 + 23*x**4 - 14*x + 12*x + x**3 = 0. What is x?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39362674 to the power of 1\/2, to the nearest integer?\nAnswer: 6274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -16473, -17, 4, 5, 11 in ascending order.\nAnswer: -16473, -17, -5, -3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 339576 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12740002 + (-7)\/(42\/(-12)). Round j to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b = 10982 + 30074. Let q = b - -1285. Let 0*t**q - 2\/5*t**5 + 0*t + 0 + 0*t**3 - 2*t**4 = 0. What is t?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1 + sqrt(208))**2 - sqrt(208))*-2 - (5 + sqrt(208)*1 + -1)**2) + -3.\nAnswer: -642 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5001 + -0.1826?\nAnswer: 5000.8174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 10*x - 5. Let o be r(-6). Let n(p) = -p + 17 - o + 10. Let y be n(13). Which is smaller: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2076*f + 2568*f + 30996 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -188*k**3 + 5*k**2 - 38*k - 33. Is v(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 490 and 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by (-3 - 110\/(-20))*36\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2\/3 + 24208*t - 436176 = 0. Calculate t.\nAnswer: -18174, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 2*y + 2. Let a(n) = n + 1. Suppose -4*w - 8 = -4*f, -4*f + 2*w = -w - 4. Let b(k) = f*m(k) + 4*a(k). Let p(s) = -2*s**2. Give p(b(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 197604 and 60291?\nAnswer: 120340836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*m**3*p**3 + 5*m**3 - 9*p + 4 wrt p?\nAnswer: -828*m**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*a - s, 2*a - 5*s + 16 = -0*a. What is the third derivative of -a*p**5 - 23*p**2 + 5*p**5 + 4*p**5 wrt p?\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6382*k*p - k + 14*p - 380 wrt k.\nAnswer: 6382*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 19. What is y(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385885596 by -6.\nAnswer: 64314266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*-2*(-280)\/(-20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865*f - 864*f + 4*x - 12 = 4*x + 2*x, 30 = 5*f - 5*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/8004 and 143\/690.\nAnswer: 40020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1276 + 737. Let x = o - -538.4992. Let z = x - -0.5. Round z to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 96, 222, 344, 462, 576, 686, 792?\n\"Answer: -2*r**2 + 132*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-688)\/(-10) + (-240)\/9400*-47 + 0\/1.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:27 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n - 70 = 0. Let m be (16\/10)\/(5\/25). Suppose -915 - 1325 = -m*v. What is the highest common factor of n and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-497)*(-15)\/(-42). Let m = -254647\/236572 - h. Find the common denominator of m and 99\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2006, -4, 10, -8 in decreasing order.\nAnswer: 2006, 10, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*s + 9*s + s)*(-3*s - 3*s + 4*s) + (10*s - 8 + 8)*(0*s - 2*s + 0*s) to q*s + m*s**2 + o and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*x - 670*x - 160*x - 70176 for x.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2869437.\nAnswer: 3, 19, 50341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*l + 4*f + 3*f - 60, 199 = 5*l + 4*f + 48 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 - 5*r**3 - r**3 + r**3 + 2*r**2 - 2*r**2 + (r - r + 2*r)*(-3*r**2 + 5*r**2 - 3*r**2) + 5*r**3 - 9*r**3 + r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399752 is divided by 398784?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6474 and 3984?\nAnswer: 51792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -21.02. Which is the second biggest value? (a) -0.2 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*46029\nAnswer: -3682.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2187*y**2 - 206*y**3 + 203*y**3 + 228816 - 43275537 - 531441*y.\nAnswer: -3*(y + 243)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*25755\/1010?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) 0.3 (c) -3.8 (d) 24\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17321242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 - 248. Which is the smallest value? (a) -0.5 (b) 0.05 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -12393?\nAnswer: 37179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.04 and -21890.\nAnswer: -22765.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.024 and -0.4?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a. Let g(s) = s - 1. Suppose -53 = 5*t - 38. What is t*g(u) + 3*d(u)?\nAnswer: 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 5. Let f(g) = -g - 1. Let m(q) = -a(q) - 6*f(q). Let w be m(-1). Suppose 0 = 5*z + 1 - 6. Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**3 - 4*t + 9. Let a(u) = u**3 - u + 1. Suppose 0 = 2*q + 1 - 3. Give q*r(g) - 6*a(g).\nAnswer: 2*g**3 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 15*v**2 + 19*v + 30. Determine g(16).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (73 + -72)*(-1 - 0). Let g(x) = -4*x**4 + 162*x**2 + 1. Let q(j) = j**4 + j**3 + 1. Let w(k) = o*g(k) + q(k). Find the third derivative of w(z) wrt z.\nAnswer: 120*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25290, -3, -2, -1, 5 in descending order.\nAnswer: 5, -1, -2, -3, -25290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - 2.1. Let h = z + -5. What is the smallest value in 0.11, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*j - 0*b - 2*b, -2*j = 3*b - 51. Calculate the highest common factor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*u + 23, -17 = 5*u - 6*u - 3*f. Let n = 11 - u. Solve -2*w = n*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/66)\/((-435)\/580)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 450.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5a3b (base 13) to base 14.\nAnswer: -7aa19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.742 - 11.742. Put -7, 37, m in ascending order.\nAnswer: -7, m, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72913906 divided by -4\nAnswer: 36456953\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Suppose 3*t - 13 = 7*w - 2*w, -f*t = w - 19. Suppose 4*o - 9 = 3*o. What is the greatest common factor of t and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3250501 (base 6) to base 10.\nAnswer: -162181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Let j(m) = 2*m - 11. What is the remainder when (1 + 0)*v*4 is divided by j(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-15)\/(-3))*3*(-12)\/81?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 13*p**2 - 9*p + 9. What is the least common multiple of 56 and m(-13)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2190 and 24.\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 9:02 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17321 - 17306. Let d = 0.7 - -0.3. Sort i, -1, d.\nAnswer: -1, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*u + 19, 3*u - 6 - 6 = 3*z. Let b(q) be the first derivative of -q**3\/3 - q**2\/2 - q - 236. Let h be b(z). Put 3, h, 2 in decreasing order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 407*b**2 - 5*b - 8 - 55*b**2 + 11. Let q be h(1). Calculate the greatest common divisor of 140 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75)\/sqrt(3) + sqrt(25))*2)\/(sqrt(80)*2))**2*1.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*q + 6 - 52*q - 8 + 13 - 6*q**2 + 12*q to o + v*q**2 + z*q and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46145297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20695 - -20766. What is the remainder when 915 is divided by a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 19 - 5\/6*r**3 + 0*r + 5\/48*r**4 + 1\/24*r**5 + 23\/2*r**2. Let h(g) be the second derivative of d(g). What is k in h(k) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1125\/(-225)*1\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + 43*r + 591. Let h be a(23). Let v(z) = -3*z**3 - 4*z**2 + 5*z + 4. Let t(m) = -5*m**3 - 7*m**2 + 9*m + 7. Calculate h*v(w) + 4*t(w).\nAnswer: w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 8)*(c + 2 - 2) in the form u*c + b and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5, 0 = -3*b + 55*y - 59*y - 4. Solve b = 36*m - 56 + 200 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -20*p - 240. Calculate f(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 49181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48672 and 91036413?\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/56, 0, 2\/11?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.89 + -0.25. Let f = -14 + 10. Let q = y - f. Round q to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5259*n - 5259*n - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1904 and -87\/67592.\nAnswer: 135184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -2\/9, 0, -1, -204?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**3\/6 - w**2\/4 + 37. Factor a(u).\nAnswer: -u*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 3 + 2)*(-19*x**3 + 13*x**3 + 23*x**3) + 2761 - 178*x**3 - 2761 + (-4 + 2*x + 4)*(-x**2 - 4*x**2 + 4*x**2) as q*x + k + t*x**3 + h*x**2 and give t.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 18 = -11*q. What is the second derivative of q*a**5 + 18*a**5 - a - 11*a**5 wrt a?\nAnswer: 260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925094387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 + -14 + (-22 - -30))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -86.3.\nAnswer: -85.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47893645 divided by 1.\nAnswer: 47893645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12917249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)\/u*u\/(u**(-1\/4)\/u))\/((u\/(u*u**2))\/u*u**(-2\/3)\/u))\/(((u*u\/(u*u**(1\/2)\/u*u))\/u)\/(u*u**1)*(u*u\/(u*u**(2\/3)))**(18\/5)) assuming u is positive.\nAnswer: u**(457\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.20379399 to 2 dps.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(110) - -1*sqrt(110)) + sqrt(110)))\/(5*(sqrt(10) + sqrt(40))) + 5.\nAnswer: -6*sqrt(11)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 1\/5 (c) 1\/2 (d) -42\/11 (e) 8 (f) 11.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (696\/406)\/((-190)\/133)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 219\/2? (a) -4 (b) -7 (c) -5 (d) 3\/5 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o - 4. Suppose 0 = o*h + 5 + 4. Let v = 7 + h. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 23 = -3*x - 0, -2*w - 3*w - 3 = x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 21.9668mm in micrometers?\nAnswer: 21966.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629257.\nAnswer: 23, 109, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/6 + (-2)\/(-6). Let w be 45\/63 - 2\/(-7). Sort 3, q, w.\nAnswer: q, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*f + 112*f - 36*f - 40*f + 16 to the form u*f + m and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -2 + -2 + (-976 - -979).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54.761 * 0.4\nAnswer: 21.9044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-22)\/(-737))\/((-1764)\/231) and 29\/804.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 47*w - 294. Determine y(-29).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(130\/(-4)) - (-12)\/5. Let f = -320 + 305. What is the nearest to f in -1, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26544, 53240, 79936, 106632, 133328?\n\"Answer: 26696*x - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 13. Give d(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -180547?\nAnswer: -180532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/19, -2, -5, 0.0415, 28?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1139164 and 10?\nAnswer: 5695820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6*(-7)\/(-63) + (-9)\/((-54)\/272678)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-one halves of a tonne?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**5\/20 + s**4\/6 + s**3\/6 - 4*s. Let v be t(2). Suppose -l + 30 = 2*h - v*l, -h + 20 = 2*l. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - (-355)\/(-5)*-3. Let b = 11 + n. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.883063 to three decimal places.\nAnswer: -0.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 80 + 1288 = 0. Let y be (114\/u)\/(1\/(3\/(-8))). Sort 0, -0.3, y in decreasing order.\nAnswer: 0, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 1.89614846.\nAnswer: -10.89614846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 627 + -271. Let s = -190 + d. List the prime factors of s.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = 208. Let r be 1\/(-1 + 56\/x). Suppose a - 15 = -3*z, -r - 4 = -5*z + a. Solve z*l - 11 = -h, -4*l - 8 = 4*h - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 834*s**3 - 6544*s**2.\nAnswer: -2*s**2*(s - 409)*(s - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -c + 4*c, -3 = -4*c - w. Solve p + 6*b + 19 = 2*b, -22 = -c*p + 4*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04385 + 2.53615. Is v smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 2*t**2 + 4*t + 2. What is i(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60\/49 - 2052\/245. Let x = h - -10. Let m = 3.9 + -7.9. Which is the nearest to x? (a) -0.5 (b) 4\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419109?\nAnswer: 17, 83477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 3*f + 115. Give p(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 368, 857, 1798, 3341, 5636, 8833, 13082?\nAnswer: 18533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-3)*(-10)\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -283*c + 71. Let r be b(-2). Let j = r + 525. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 126 - 106 = 42*v, 7*k + 944 - 1211 = 4*v for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:35 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**4 - 4*q**4 + q**4)*(-1 - 1 + 0) - 9*q**4 - q**4 - 3*q**4 as y + t*q**3 + r*q + l*q**4 + n*q**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19823 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Is 1 - (v + 2*-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 5*a**4 + 4*a**4 + (-1 + 2 + 0)*(2*a**3 - 2*a**3 - 2*a**4).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**2 + 75*l + 4. Let r(u) = -u**2 + 1. Determine -b(s) + 6*r(s).\nAnswer: s**2 - 75*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 210 + (-125 - -34)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-12) + (-10)\/12)*-8. Does 4 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -100 (c) -0.3 (d) -5 (e) 2\/97 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from ovovfffvbvbk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/(-148))\/(1\/(-2))*-30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + 115a8?\nAnswer: 11642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, 3, 13, -4, 333 in decreasing order.\nAnswer: 333, 15, 13, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 2. Let s be m(4). Suppose f - 5*c = -9, 2*c = s*f + c. Let o = 243 + -1211\/5. Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = d + 4*p, -2*p + 16 = d. Let k be (d\/2)\/(6\/9). Suppose 4*c + 12 = 0, -1 = -2*r - c + k*c. Which is bigger: -8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 - 10*u**2 - u + 6*u**2 to q + t*u + h*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 186*n**2 - 1375*n - 19. Calculate the remainder when g(13) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 9*d**2 - 5*d - 5. Let q be i(6). Let f = q + -36. Suppose f = 3*o - 2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120434\/945 - -892\/7. Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.106? (a) -3\/2 (b) -3 (c) 2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 1821*x**2 + 294465*x - 5408487.\nAnswer: 3*(x - 293)**2*(x - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10)**31 assuming p is positive.\nAnswer: p**310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -483, -1478, -2993, -5022, -7559, -10598?\n\"Answer: y**3 - 266*y**2 - 204*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Let j = 0 - 2. Let f be -3 + (-12)\/7*j. Which is the second smallest value? (a) 4 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -711 divided by -7016\nAnswer: 711\/7016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1060 and 3380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12 + 2*n + 1 - 1 + 8. Let r be z(-9). Suppose -s + 45 = 4*p, -p = -r*s + 6*s - 30. What is the smallest common multiple of 6 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 709*p + 542. Let x(r) = 129*r + 108. Calculate -2*o(d) + 11*x(d).\nAnswer: d + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.344954 times 0.5?\nAnswer: -0.172477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 50345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxaaaggxxsgaaggga. Give prob of picking 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-122)\/(0 + (-136)\/89). Let p = u - 945\/17. Find the common denominator of -19\/10 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224904049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -11. Let p(o) = o**3 + 9*o**2 - 3. Is p(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 7:06 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 2\/5 (c) 5 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277955?\nAnswer: 5, 23, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + z + 12, 4*v = 4*z + 6 + 6. Suppose -b + 91 + 0 = -s, -5*b = v*s - 447. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-792) + (-524)\/22.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -159*a + 13703. Let g be l(86). Solve -27*c - g = -83 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 17*z**2 - 274*z + 35. Let n be q(16). Sort 0, -3, -2, 1, n in decreasing order.\nAnswer: n, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1305.77445 or -2\/3?\nAnswer: -1305.77445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44247*w**5 + 215*w**3*x**2 + 61*w*x**2 + 2107*w*x + w + 132*x**2 - 1 wrt w.\nAnswer: 884940*w**3 + 1290*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/405)\/(2\/6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c - -4?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 2. Let o(t) = -4*t**2 - 47*t - 2. Calculate -2*f(y) + o(y).\nAnswer: -10*y**2 - 47*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*n - 0*n, -3*j - 15 = 0. Suppose l - n = -5. Solve -l*y - 20 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 26 - 27)*(2*d + 2*d - 3*d) + 2 - 2 + d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4 + sqrt(245) - (sqrt(180) + 0 - sqrt(180))) + -3*sqrt(5)*4 + sqrt(180) + 1).\nAnswer: 3*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x + 5. Let k(f) = -f**2 - f - 6. What is 4*k(s) + 5*l(s)?\nAnswer: s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1.3, -0.18566 in increasing order.\nAnswer: -1.3, -0.18566, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1520052006 + 1?\nAnswer: -1520052005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -3.87724906.\nAnswer: -2.87724906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021616 to five decimal places.\nAnswer: -0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**4\/6 - j**3\/3 + 2*j**2 - 4*j. Let y be v(3). Solve -5*x + 1 - y = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6842124 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from zzli.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1027 + -35. Suppose 4*m + 504 = 2*x, -3*x - 5*m - 192 = -d. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 387*q - 6051. What is c(16)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4 + 21 = -5*n, 4*n - 12 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 + 1 = -2*i, 3*i - 4 = u. Let y be 3 + (-29)\/6 - -2. Suppose -160*m + 158*m = -2. Sort u, y, m.\nAnswer: y, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 278340 and 91644?\nAnswer: 2125682580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29077 minus -20?\nAnswer: -29057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-460*q**3 + 25344*q - 25344*q)*(4*q**2 + 3*q**2 - 5*q**2)*(-4 + 2 - 4).\nAnswer: 5520*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, 438, 1, -4 in increasing order.\nAnswer: -5, -4, -3, 1, 3, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 - 65 = 4*a - 9*a - 5*q, -3*a + 5*q + 127 = 0 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -164.\nAnswer: -32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -660416482 from 0.2.\nAnswer: 660416482.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 15*n**3 + 2*n**3)*((2*n - 3*n + 3*n)*(-2 + 4 - 3) - n - 3*n + 2*n + n - 4*n + 4*n + 0*n - n + 0*n + (6 - 2 - 3)*(807 - 807 + 84*n)).\nAnswer: 1360*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 20 = 4*f, 0*h - 4*h + 4*f = 12. Let q(m) = 5*m + 3. Let k(i) = i + 1. Determine h*k(o) + q(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(189)*-1)\/(sqrt(81)\/sqrt(3)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q - 4*g = 40, -3*g = q - 5. Suppose l - a + q = 4*a, -2 = 3*l - 5*a. Let t be 6\/(0 + l\/15). What is the highest common divisor of 105 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*b**2 - 21*b**2 - 151*b**2 - b**3 + (-1 - 3*b + 1)*(15*b**2 - 10*b**2 + 12*b**2).\nAnswer: -52*b**3 - 267*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 2\/3, 30, 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2*20\/6. Suppose 9*u - 16*u = 0. Solve z + j = -u*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 6171.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from mimiemm?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -9\/2. Suppose -4*k + 2*z + 200 = 0, 5*k + 12*z = 7*z + 265. Find the common denominator of o and (61\/75)\/(k\/(-153)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492552 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31, 61, 97, 139, 187?\n\"Answer: 3*x**2 + 21*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -165*(6 + 5)*(-8)\/20?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-63) + 15\/35. Suppose 2*j - 8 = -2*c, -3*j + 4 = -2*c + 12. Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 + 3*b**4\/4 - 3*b**3\/4 - 11*b**2\/4 - 3*b\/2 = 0 for b.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1900 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -4\/5 (c) 4\/3 (d) -0.3 (e) -4724606 (f) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5590 is divided by 321.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/2 - 7125*n**2 - 25375686*n + 50779876 = 0. Calculate n.\nAnswer: -7126, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -150748.935 to the nearest 100.\nAnswer: -150700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4963639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - 11*b - 36. What is the units digit of l(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 980507*y**2. Let m(f) = 3*f**2. Calculate m(v(p)).\nAnswer: 2884181931147*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 58 = 3*o - s, o - 6 = -2*s. Suppose -o*q = -q. Solve q = 3*l + 4*t + 4 - 2, 2*l - t = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -214 <= -217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 827 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-3)\/(sqrt(294)*1))**2.\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(3\/174*-14)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*p - 76*p - 1429 - 1171 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 12 - 52. Suppose p + n = 6*p. Solve -6*g = -p*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 39 + 0 + (1 + (3 - -13) - 13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3 = -3. Suppose -4*h - q + 161 = z, -3 = -q - 2*q. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 95*x**3 + 963*x + 963. What is i(-1)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-200)\/15)\/10)\/(-2*6\/(-90))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307.9819 - 308. What is q rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5482 - 3?\nAnswer: -5485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2 - (0\/(-3) - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -2*x. Let g be 288\/1100 + x\/(-33). Suppose 54*u - 74*u + 20 = 0. Is u < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 352*g + 17213. Give u(-49).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 1469*f**2 + 18933*f + 72. Give r(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167 - -167.01. What is the nearest to i in 4, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4335 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -96642495 to the nearest 100000.\nAnswer: -96600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-189)\/14 + (-612)\/(-51)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(125)))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.2, 1\/2, 6, -0.3211?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -3\/4, 2\/21, -0.084, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.3, 3, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -73, -87, -117, -169?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(15)\/(3*(sqrt(3) - sqrt(3)*-2)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325238 is divided by 4935?\nAnswer: 4463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 6321183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -1)*(-16)\/(-24)*-1. Solve 61*v + 63 + 3*v**r - 31*v + 10*v - 10*v = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.3 - 4.3. Let u = -10.00000193 + w. What is u rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*z + 27 + 256*z - 27 + z**2 + 109*z to the form a*z + r + x*z**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -12*b + 18*b - 3*w - 12, -3*b + 5*w = 2*b - 30 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634830417 to the power of 1\/2, to the nearest integer?\nAnswer: 51331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -319 - -340. Let g be (-2)\/p - (-31780)\/294. Calculate the highest common factor of 162 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79522, 159078, 238636, 318196, 397758, 477322, 556888?\n\"Answer: s**2 + 79553*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.9976 - 6. What is m rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s - 424 = -5*x, s - x = 4 - 2 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -7\/6427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -11974.9?\nAnswer: 7184.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 9:16 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 = -3*h. What is the units digit of 840\/(-8)*(-2)\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - p = 138 - 125, -4*p - 6 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*v - 3*v + 3*k, -2*v + 27 = -5*k. Suppose v*y + 32 = 2. Put -8, y, -4 in decreasing order.\nAnswer: -4, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 1 + -42 + 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1388759580 and 1458.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153*r*x**2 + 16195485*r + 2184*x**2 + x - 2 wrt x.\nAnswer: -306*r*x + 4368*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 3*b**2 - 9*b. What is f(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*x + 14, -2*u = -x - 7 - 0. Let v = -10 + -19. Let s = v - -33. Calculate the greatest common divisor of u and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(4\/((-192)\/(-4))). Let i be (-1 - -94) + 3\/(-1). Calculate the greatest common divisor of a and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-49658)\/57918 + 24\/28. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**5\/60 - g**4\/24 + g**3\/2 - 10*g**2 + 7. Determine k(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + 9\/(-7 + 4). Let k be 13 + -8 - 6\/(-2). Solve -4*g = j + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98166 is divided by 525?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 223 + 3*i**3 + 8*i**2 - 276*i - 167 + 13*i**2 + 196 = 0. Calculate i.\nAnswer: -14, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/7, 32, 0.5 in decreasing order.\nAnswer: 32, 0.5, 1\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -119, -461, -1025, -1811, -2819?\n\"Answer: -111*d**2 - 9*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 199 - -4?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341479794 to the power of 1\/3, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1334252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*w - 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 19 + 7 - 13. Is 30 a factor of f(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9550 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 x when three letters picked without replacement from {x: 2, u: 2, s: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcctzuu. What is prob of picking 1 b, 1 z, 1 u, and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (291\/12)\/(2\/8). Calculate the common denominator of r\/18 - 0\/4 and -81\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15192 - -75962\/5. Which is the second smallest value? (a) m (b) 15 (c) -187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -151*w**7\/70 + 38*w**6\/5 - w**5\/5 + 8163*w**2. Factor o(g).\nAnswer: -3*g**2*(g - 2)*(151*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1221, 1779, 2339, 2901, 3465?\nAnswer: 4031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00290152 rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 27*i + 37. Determine r(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 68 - 15)*(0*r**3 + 0*r**3 + r**4) + (-3*r + 0*r + 6*r)*(r**3 + r**3 + 0*r**3).\nAnswer: 103*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 + 18*g - 71. Determine d(6).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 5*k - 10. Suppose -16 = -0*t - k*t - 4*c, 5*t - 100 = 2*c. What is the lowest common multiple of 4 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49\/102 - -1\/51. Suppose 0 = -d - 185. Let r be (-8)\/(-20) - (-84)\/d. What is the closest to i in r, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7164*f**3 + 3509*f**3 + 3510*f**3.\nAnswer: -145*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12575948 divided by -2149.\nAnswer: 5852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -285 + 85422?\nAnswer: 85148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(80))**2.\nAnswer: 24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/176769 and -139\/78564.\nAnswer: 707076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251 - 9404481.\nAnswer: -9404230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5045, 6502, 7959, 9416, 10873, 12330?\n\"Answer: 1457*t + 3588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + -65 + 116 - ((3 - 3) + 106).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 11:35 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, 0.04, 0.5, -1\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 1. Let k(r) = -r + 3*r**2 - 6*r**2 + 0*r**2 - 8. What is 6*g(y) + k(y)?\nAnswer: 3*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - s. Let f be g(4). Suppose 0 = j - f - 2. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**2 + 5*d - 5. Let n(h) = -h**2 + h - 1. What is -15*n(w) + 3*o(w)?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/38*270 + 4\/38?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -1 - -5) + (28 - (41 + -11)) - -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101001201 - -4310?\nAnswer: -100441341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -518*u**2 + 237*u wrt u.\nAnswer: -1036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -230210 (base 8) to base 3\nAnswer: -10221221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935593487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73256255 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 19*c + 5. Let z(s) = -29*s - 8. Let d(k) = -8*t(k) - 5*z(k). Let y(h) = -h**2. Calculate y(d(g)).\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 324\/60 - 13 - -7\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -287 and 41?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5 - 122*r**3 - 2*r**2 - 3*r + 136*r**3 + (5 + 1 + 1)*(-r + r + 7*r)*(4*r**2 - 6*r**2 + 0*r**2) to m*r**3 + a*r + k + p*r**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/20 and (60\/(-408))\/((-1)\/((-15)\/(-17))).\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9276?\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m. Let f(n) be the second derivative of 17\/3*n**3 - 3*n + 0*n**2 + 0. Determine f(d(y)).\nAnswer: 102*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -2*g**7\/21 - g**6\/24 + 11*g**5\/12 - 5*g**4\/4 + 26*g**2. Factor a(k).\nAnswer: -5*k*(k - 1)*(k + 2)*(4*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 5*g**2 - 2*g - 6. Let j be d(4). Solve 0 = -0*t - 2*t - 3*n + 1, -t - 2*n = -j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43248 divided by -1272.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*v + 46 = -23, -5*s - v = 323. Let r = s + 152. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91733312, 183466622, 275199932?\nAnswer: 366933242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/28 - (-6)\/24. Which is the nearest to w? (a) 0.09 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1496 + 2616. Let x = -1192.1 + o. Round x to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 563 + -551. Solve 0 = -5*t + 3*y + 5, 2*y - l = -2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 4\/9, -0.07 in descending order.\nAnswer: 1, 4\/9, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in -8\/31, 3, 0.2?\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-202 - 9574*x**2 - 187 + 389)*(x - 4*x + 2*x) to w + v*x**3 + h*x**2 + r*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -47981.\nAnswer: 14394.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28706\/(-732003))\/(50\/(-34)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 467 and 4.\nAnswer: 1868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 2*a - 1. Let m be n(-3). Suppose 3*q - m = -v, -4*q - 3*v = 3 - 9. Suppose -b = -q*b - 14. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/9 + (154\/99)\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1541*p + 1553*p + 1557*p + 1512*p - 6158*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180596*j**2 + 384274*j.\nAnswer: -361192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3. Suppose 2*c - 4*r = 6, -r = 4*r + 5. Let f(s) = -4*s**3. Suppose -4*d = -o - 4, 37 = -4*o + 4*d - 9*d. What is c*f(v) + o*n(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53347 - 372663\/7. Let y = i - 110. Sort 5, y, -0.7, -1\/5.\nAnswer: -0.7, y, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 + 48*u + 28. Determine g(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -225 + 44. Let n = -176 - h. Solve -4*j + 41 = -5*i, -n = 5*i + j + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -4 (b) 2 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 56*g + 202. What is a(52)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1058929.\nAnswer: 3\/1058929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 5*m + 2. Let i be v(-4). Let w = 50 - i. Let d = 9 + 2. What is the remainder when w is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746051*k**2 - 746051*k**2 - 17*k**3.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*t**2 - 278*p*x**2 + 4*p - t**2*x**2 - 108*x wrt x?\nAnswer: -556*p - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1, 33, 195.\nAnswer: 1, 3, 5, 33, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600 = 4*k - l + 613, 0 = 3*l - 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:56 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*y + 97 = 0, -y = r - 6*y + 3. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -539*b**3*w**2 - b**3*w + 1184*b**3 - 32175*b*w**2 - 2*b*w + 9*w**2 - 23*w wrt b?\nAnswer: -3234*b*w**2 - 6*b*w + 7104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(342))\/sqrt(6))\/(sqrt(18)\/sqrt(6)*-2 - sqrt(3) - sqrt(3)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18694132 is divided by 539.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1454672590.0000033 - 1454672662. Let y = s - -72. What is y rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 96591, 96619, 96647, 96675, 96703, 96731?\n\"Answer: 28*w + 96563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.773822nm?\nAnswer: 0.000000000006773822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.7 - -87.3. Let t = r + -111.3. Round t to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2524\/31, 2 in decreasing order.\nAnswer: 2524\/31, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*f - 3, 4*f = -3*v + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 583\/980 + 1\/196. Let d be 7\/(-12) - (-3)\/9. Which is the second smallest value? (a) f (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 31*a - 20. Calculate v(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 539 - 548. Let j(n) = 24*n + 219. Let u be j(y). Solve 0 = 3*h + 3*m - u, 5*h - 4*m - 24 + 1 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.61 - -39.71. What is the fourth smallest value in 0.5, t, 12, -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 1:51 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 8*v + 11. Suppose -107 + 111 = i. Is 3 a factor of j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/10, -4, -81\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:52 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 8*q**2 - q + 7. Let o(n) = 10*n - 80. Let j be o(6). Let k = -12 - j. What is i(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39559326.\nAnswer: 2, 3, 1459, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 549835484 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + -5 + (-6 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2332313 (base 4) to base 13\nAnswer: -5738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = 0, -2*z + u + 3 + 22 = 0. Let i = z - -1. Suppose y = 3 + 2. What is the remainder when i is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211688 is divided by 52922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 65. What is the common denominator of (5\/(-180))\/(l\/915) and 51\/32?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -102980 and -1?\nAnswer: 102979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40425 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 3) + 10\/1. Let v = u - 7. Suppose 16 = v*i - 8. Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 129 = -42. Suppose 10*l = -j*l. Solve l = -3*r + 2*w - 0*w - 1, -4*r = 2*w - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72991969 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -338.1 (b) 6\/11 (c) -5 (d) 2\/3 (e) 0.1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 29 - -14\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -16*d**2. Let p be n(-2). Let j = -39 - p. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -31*p**2\/2 - 17*p + 17. List the prime factors of r(-5).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 42 = 5*n, 380 = 2*v + 2*n. Let t = -188 + v. Let j(y) = y**3 - 7*y**2 + 4*y + 6. Determine j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5749 and -5225.\nAnswer: 13453.8525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14 - 10*l - 33 + 14*l wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v = -551199 + 552270, -2*v = -5*t - 106 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (-26 + -1 + 18).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -11 + (1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, t: 1, n: 2, e: 4, x: 1, i: 3}. What is prob of picking 1 t, 1 x, and 1 n?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, -12 in ascending order.\nAnswer: -12, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7975 (base 11) to base 15.\nAnswer: 3174d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2201*c. Let z(x) = -11*x**2. Give z(d(p)).\nAnswer: -53288411*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 3595 = 2*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Let o(x) = 0*x**3 + 3*x**2 + 2*x**3 - 4*x**2 - 1 + x. Let g be o(1). Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5637358378.\nAnswer: 2, 2818679189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rru when three letters picked without replacement from rrrrrururrurrrr.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 1, z: 7}. Give prob of picking 1 z and 1 y.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 14) to base 15.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92, 179, 262, 341, 416?\n\"Answer: -2*u**2 + 93*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10246, -10245, -10244, -10243, -10242?\n\"Answer: c - 10247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 21. Solve 0*m = -3*m + t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6560799 is divided by 199.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 2 + -7 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*2)*-3 - (sqrt(85) + (-2*sqrt(85) + sqrt(85))*1))\/((sqrt(80) + sqrt(5))*-3 - (sqrt(55)*-2)\/sqrt(11)).\nAnswer: -3*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q - 1196. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11614*c - 83*c**2 - 11614*c - 40*c**2 + 9*c**2 + 19*c**2.\nAnswer: -95*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5 + 5*d**4 + 5*d**5 + 5 - 10 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -645*z - 81. What is the thousands digit of d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19299 is divided by 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3297799 = 25*m - 23*m + 41*m. List the prime factors of m.\nAnswer: 271, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81, -2748, -9997, -24120, -47409?\n\"Answer: -382*y**3 + y**2 + 4*y + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8992*v + 9017*v - 18011*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjbjjjjjjjjjjbjjj. Give prob of sequence jbjj.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.001 (b) -2 (c) 154 (d) -2348\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13171 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6248*-3.\nAnswer: -4.8744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364650 is divided by 1335?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22588320421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -75129, -601234, -2029201, -4809960, -9394441?\n\"Answer: -75155*g**3 - g**2 - 17*g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 - 68*m + 146*m - 76*m)*(-2*m**4 + 2*m**3 - 4*m**4 + 4*m**4).\nAnswer: -4*m**5 - 202*m**4 + 206*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**8\/3360 - i**7\/1260 + 11*i**4\/12 - 22*i. Let t(k) be the third derivative of p(k). Determine u so that t(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69852820 is divided by 1936.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13*j - 1. Let w be h(1). Let m = 17 + w. Let v = -69 + 78. Solve m*a = -0*a - v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23000010 (base 4) to base 13\nAnswer: 17682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n - 48*n - 5 = 0. Solve 3*u = -4*y + n*u + 20, -5*u = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/2)\/(a\/a**(-2))*a\/(a\/((a**29\/a*a*a*a)\/a*a))*a**(9\/8)\/a assuming a is positive.\nAnswer: a**(221\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63540909?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eizkuuz. What is prob of picking 1 e and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 26 = -4*a + 18, 2*a - 26 = 2*k. Suppose -d - 5*b - 12 = a, b + 5 = 0. Solve -x - 11 = d*v, -v = -2*x - 0 - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 - 163*x. Let z(f) = 51*f. Calculate z(i(o)).\nAnswer: -102*o**2 - 8313*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 84835 = 5*x, 5*x + 179 = 144. List the prime factors of l.\nAnswer: 2, 3, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 16*x = -3*u + 84, -4*u = x - 129. What is the highest common factor of 341 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -362, 155, -0.2 in descending order.\nAnswer: 155, -0.2, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c. Let i(q) = -45*q**2 - 5*q + 10. Let k(j) = 67*j**2 + 8*j - 16. Let x(f) = -8*i(f) - 5*k(f). What is x(a(h))?\nAnswer: 625*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 7.5. Let t = 97.5 - m. Let v = t - 104.99826. What is v rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -404*o**4 - 2*o**2 - 409*o**4 + 815*o**4 + 5*o + (143 - 284 - o + 133)*(o**3 - 2*o + 2*o).\nAnswer: o**4 - 8*o**3 - 2*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, t: 3, d: 3, g: 2}. Give prob of sequence dzgg.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.1 - 12. Which is the third biggest value? (a) m (b) 13 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 11*b**2 - 78*b + 37. Let y be m(-16). Solve -f - y = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2015 or -2014?\nAnswer: -2014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/9 of a day in minutes?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = 2*s. Let v = 6 - s. Differentiate z**v - 10*z**4 + 3*z**4 + 1 wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463467011?\nAnswer: 7, 3697, 17909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58 and -1445.731?\nAnswer: -83852.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 14) to base 9.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 - 6*u**2 + (9*u - 2*u + 4*u)*(46 - 51 + 0*u - 3*u).\nAnswer: -39*u**2 - 55*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(306)\/(5*sqrt(294)))\/((sqrt(363) - 4*sqrt(363)) + sqrt(363) - sqrt(240)\/sqrt(5)).\nAnswer: -sqrt(17)\/182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 46338*w**2 + 3 + 1 - 46316*w**2.\nAnswer: 22*w**2 - 5*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8320820 and 5824574?\nAnswer: 58245740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b. Suppose -q + 20 = -b*q. What is the greatest common factor of q and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2836367*k**4 - 123684*k**2 + 2 wrt k.\nAnswer: -68072808*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 7*v + 3. Let f be (-2 + 16)*2\/4. Is 19 a factor of t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7. Suppose 10 = 5*p - f*p. Let m(n) = 35*n - 3. Is m(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 11010000010101?\nAnswer: -11010000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 3501?\nAnswer: -3501.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(156) - sqrt(156)) + -1*(sqrt(156) + sqrt(156)*-1))\/(sqrt(144)\/sqrt(108) + sqrt(1452) + sqrt(1452)*2).\nAnswer: -3*sqrt(13)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1021000 (base 3) to base 11\nAnswer: -765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 309*i**2*j**2 - 559*i**2 with respect to j.\nAnswer: 618*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596 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: Let i be (-72)\/(-21) - 2\/((-42)\/(-9)). Let q(o) be the second derivative of -1\/20*o**5 + i*o + 0*o**4 + 0 - o**2 + 0*o**3. What is the derivative of q(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 2:49 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/4 - n**3\/2 - 3*n**2 + 3*n. Let x(l) = l**2 - 1. Let a(j) = m(j) - 6*x(j). Suppose a(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 658 + -1696. Let i = 7286\/7 + l. Is i < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) -4 (c) -0.2 (d) 3\/52 (e) -1\/8 (f) -1 (g) -9\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -41)\/(-4)*4. Let d = x + 55. Let b(c) = -c**3 - 9*c**2 + 20*c - 19. Let i be b(-11). Calculate the greatest common divisor of i and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3156, 12610, 28362, 50412, 78760, 113406?\n\"Answer: 3149*l**2 + 7*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 1. What is the least common multiple of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 23 = d, -i - 19 = -5*d - 0. Suppose i*m - 4*m = 6. Suppose 0*u - m = -3*u. Is u <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2, -98, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*(-1 + (-15)\/(-25)). Let b = 44 + u. Suppose -c + 0 - 3 = 0, -24 = -3*j - 2*c. Calculate the remainder when b is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 696 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 114214488 divided by 6?\nAnswer: 19035748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9327.2*-5.\nAnswer: 46636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10311294 and -163\/1063020?\nAnswer: 103112940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 2*l - 1. Let d be f(1). Solve u + 5*x = d*u - 15, 9 = 2*u + x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-151 + 91 - -61) + 1 + (-2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*x - 9, 0 = 3*c + 3*x + 2*x - 49. Suppose 4*s = -15*s - 19. Sort c, 5, -5, s in decreasing order.\nAnswer: c, 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x + 0*x**3 + 0*x**2 - 1\/30*x**5 - 1\/45*x**6 + 0*x**4 + 0. Factor f(d).\nAnswer: -2*d**3*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 82*s**2 + 7*s + 2. Let n(d) = 24*d**2 - d. Let k(b) = 3*n(b) + t(b). Determine k(4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*b - 16, -b + 25 = -4*w + 2. Let h = -3 - w. Let u = 59\/24 + 1\/24. Is u smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q**2 - 10*q - 6. Let w(f) = 3*f**2 + 2*f + 1. Let g(r) = -2*c(r) - 11*w(r). Give g(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 g, and 1 q when four letters picked without replacement from pqpqggggppqp?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3694*q**6 - 458*q**2 - q wrt q.\nAnswer: 443280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-4)\/8)\/((-6)\/3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 9:01 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7*y - 3*w = 0, 0 = 4*y + 4*w. Suppose 5 + 1 = 2*d. Solve 2*v - d*v = y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 463 + 29. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 28570*z**3 + 4*z**2 - 28573*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 - 518*d - 28400 = 0. Calculate d.\nAnswer: -50, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-63) + (-2 + 1)*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5351\/1324 or -5?\nAnswer: -5351\/1324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:48 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0317, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, 0.0317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from ziizzbzizkr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49951.954757 - 49952. What is r rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 4, 0.04, -0.1, -45?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 times 1177046?\nAnswer: -161255302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*(374\/(-3))\/(-17). Calculate the highest common divisor of a and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.3429683 days?\nAnswer: 8.2312392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55285576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 + c + 1. Calculate the remainder when 14\/(38 + 4)*(-636)\/(-2) is divided by g(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1506 + -1506. Let d = 9.32 - 9. Which is the third smallest value? (a) d (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54268317\/487 + -111434. Find the common denominator of g and -13\/10.\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0, 8 in decreasing order.\nAnswer: 8, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-66)\/(-11))*5\/(220\/8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17167661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:59 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -124466 != 940?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 0*k - 2*k)*(-3 + 2 - 2 - 4 + 2 + 4 - 1 + 1 - 2 + (3 + 1 - 5)*(2 + 0 - 1) + 5 - 9 - 6).\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(-2)*b)\/b**0)\/((b\/(b\/(b*b**(-6))*b))\/(b*b**4)))**(-11\/5))**(2\/35) assuming b is positive.\nAnswer: b**(-66\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -17, 30 in descending order.\nAnswer: 30, 12, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1976, -3942, -5904, -7862, -9816, -11766?\n\"Answer: 2*k**2 - 1972*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*c = -20, 3*z + 0*c = -5*c - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.601798 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0*w**5 - 3\/2*w**6 - 25\/6*w**4 + 4*w + 0 + 0*w**3 + 0*w**2. What is the third derivative of f(i) wrt i?\nAnswer: -1080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 27*v + 6. Let k be j(27). Let l(y) = 4*y**3 + 5*y + 5*y**2 - k - 7*y - 3*y**3 + 0*y**3. Give l(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -434*s + 3040. Let n be r(7). Let f(l) be the first derivative of 7\/3*l**3 + 0*l - 33 + 0*l**n. Let j(m) = 3*m**2. Calculate f(j(p)).\nAnswer: 63*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160628608.\nAnswer: 2, 7, 31, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2826459.799 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 2. Suppose 0 = 3*y + z, -y - 3*y + 2*z = 0. Let g be (35\/7)\/(-1) - (-1 + y). Calculate n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001100101000010 - -11000011011?\nAnswer: 10100001111101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7161 + 42967\/6. Which is the second biggest value? (a) -575 (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67437436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 39*n**2 - 25*n**2 + 1.\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*r - 16, 2*i - 30*r - 9 = -29*r. Suppose -2*n = i*l - 10, -5*n + 16 = 5*l - 3*l. Solve x = -l + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*v - 32, 3*n = n - 4. Suppose 54 = 4*h - 5*w, 3*w + 4 = w. What is the lowest common multiple of v and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, r: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 308 - 213. Calculate the greatest common divisor of 76 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 163, 155, 143, 127?\n\"Answer: -2*w**2 - 2*w + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -10, 10, 50, 116, 214, 350?\n\"Answer: i**3 + i**2 - 4*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 - 5*n - 1. Let w(q) = 4*q**3 + 5*q. Give 3*a(m) + 2*w(m).\nAnswer: -m**3 - 5*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 6:14 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = l, -9 = a + 2*l - 6*l. Let o(q) = -4*q**3 - 2*q - 1. What is the units digit of o(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkqqqk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3165?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}