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, -0.3, -1, -3, -6.973 Put -1, 1/7, -0.6, -0.2 in increasing order. -1, -0.6, -0.2, 1/7 Put -0.3, -1, 2 in descending order. 2, -0.3, -1 Put 1, 4, 3, 143 in descending order. 143, 4, 3, 1 Sort -4, -16, 5, -2 in decreasing order. 5, -2, -4, -16 Put 4/3, 0.36, 2/9, -5 in increasing order. -5, 2/9, 0.36, 4/3 Put 23, 0, 0.5 in decreasing order. 23, 0.5, 0 Put -2/3, 32/21, -0.1 in descending order. 32/21, -0.1, -2/3 Sort 0.1, -3/7, 1/6 in decreasing order. 1/6, 0.1, -3/7 Sort -4, 4/3, 2, 0.3 in decreasing order. 2, 4/3, 0.3, -4 Put -0.4, -5/3, -0.1 in ascending order. -5/3, -0.4, -0.1 Sort -2, 1, 264 in descending order. 264, 1, -2 Sort 0.2, -2/7, -324, 2/5 in increasing order. -324, -2/7, 0.2, 2/5 Sort 31, 4, -1. -1, 4, 31 Sort 7, -7, 0, -4, -3. -7, -4, -3, 0, 7 Put 5, 4, 3, -7, -4 in descending order. 5, 4, 3, -4, -7 Put -15, -0.7, 9, -1 in descending order. 9, -0.7, -1, -15 Sort 3, -1, 5, 2/15 in descending order. 5, 3, 2/15, -1 Put 5, 3, 1, 2 in decreasing order. 5, 3, 2, 1 Put 1.5, -1/5, 4, 0.2 in decreasing order. 4, 1.5, 0.2, -1/5 Sort 4.984, -0.5, -0.1 in increasing order. -0.5, -0.1, 4.984 Sort -0.2, -6/7, 10, -3. -3, -6/7, -0.2, 10 Sort 0.14, -4, -2/17 in decreasing order. 0.14, -2/17, -4 Put 0.5, -5, 5, 28 in decreasing order. 28, 5, 0.5, -5 Sort -0.4, 3/8, 2/9, -622 in descending order. 3/8, 2/9, -0.4, -622 Put -6, -2, 1158 in decreasing order. 1158, -2, -6 Sort -1.8, -1/11, -2/3, -3/7 in increasing order. -1.8, -2/3, -3/7, -1/11 Sort -26, 5, 10, -3 in ascending order. -26, -3, 5, 10 Put -1, 3, -3, -5 in increasing order. -5, -3, -1, 3 Sort -2/9, -5, -0.2 in ascending order. -5, -2/9, -0.2 Sort 1, 0, -1, -3, 43 in ascending order. -3, -1, 0, 1, 43 Sort -7, 0.1, -0.03, -1, -2/5. -7, -1, -2/5, -0.03, 0.1 Put -0.03, 1, -0.4 in descending order. 1, -0.03, -0.4 Put 0.3, 2/5, -2, 418 in ascending order. -2, 0.3, 2/5, 418 Sort -1, 2, -10 in increasing order. -10, -1, 2 Sort -4, 1, -279. -279, -4, 1 Put 4/3, -4, 0.313, -0.4, 0.1 in ascending order. -4, -0.4, 0.1, 0.313, 4/3 Sort 3, -101, 1. -101, 1, 3 Sort 1, -40, 25 in descending order. 25, 1, -40 Put -1/2, 0.4, 4, 0.5 in increasing order. -1/2, 0.4, 0.5, 4 Sort 1/3, -0.25, 4, -2/3 in descending order. 4, 1/3, -0.25, -2/3 Sort 5, -7, -1, -3 in increasing order. -7, -3, -1, 5 Put 2, -4, 5, -75 in decreasing order. 5, 2, -4, -75 Put -24, 9, -7 in descending order. 9, -7, -24 Sort 0.18, 1/2, 0.26, -0.2 in decreasing order. 1/2, 0.26, 0.18, -0.2 Sort -9, 4, -19, -10 in decreasing order. 4, -9, -10, -19 Put 1, -0.2, 0.06 in ascending order. -0.2, 0.06, 1 Sort 1, 0, -292. -292, 0, 1 Sort 0, -0.5, 5/2, 1/30, 2/17 in decreasing order. 5/2, 2/17, 1/30, 0, -0.5 Sort -0.4, 1, 71, -5. -5, -0.4, 1, 71 Sort 5, 0.1, -210, 0 in descending order. 5, 0.1, 0, -210 Put -0.2, 5, -33, -1/2, 2 in decreasing order. 5, 2, -0.2, -1/2, -33 Put -5, 2, -411 in descending order. 2, -5, -411 Put 13, 0, -79 in descending order. 13, 0, -79 Put -6, -1/4, 0.4, -3/7, -1 in descending order. 0.4, -1/4, -3/7, -1, -6 Sort 7, 2, 0.4, -18, -0.1. -18, -0.1, 0.4, 2, 7 Sort -3, 1, 2, -13 in descending order. 2, 1, -3, -13 Sort -1, -5, -4, 75 in descending order. 75, -1, -4, -5 Put -3, 7, 17, 1 in ascending order. -3, 1, 7, 17 Put -3, 4/7, -3/5, 211 in decreasing order. 211, 4/7, -3/5, -3 Sort -1, 5, 3, 12. -1, 3, 5, 12 Sort -3, -2, 250, -0.3 in ascending order. -3, -2, -0.3, 250 Sort -4, -211, 2 in increasing order. -211, -4, 2 Put -7, -17, 1, 5 in descending order. 5, 1, -7, -17 Put -2, 0, -1/8, -0.1 in descending order. 0, -0.1, -1/8, -2 Put -5, 0.6, -5.4 in decreasing order. 0.6, -5, -5.4 Sort 90, 5, -18, -1 in ascending order. -18, -1, 5, 90 Sort -2, -1/8, -0.031, 9, -4 in ascending order. -4, -2, -1/8, -0.031, 9 Sort 1, 0.2, -3, 0.5, 0.202 in descending order. 1, 0.5, 0.202, 0.2, -3 Put 1/3, -1/5, -1, 0.1 in ascending order. -1, -1/5, 0.1, 1/3 Sort -3/4, 2, -286, -3 in decreasing order. 2, -3/4, -3, -286 Put 6, -4, 4 in decreasing order. 6, 4, -4 Sort 1, -1, -3, -113 in increasing order. -113, -3, -1, 1 Put 0, 0.3, 7, 6, 5 in ascending order. 0, 0.3, 5, 6, 7 Put 4, -0.2, 4/9 in descending order. 4, 4/9, -0.2 Sort 9, 1, 146 in increasing order. 1, 9, 146 Sort 3, 14, 2, 81. 2, 3, 14, 81 Sort -81, -8, -3 in descending order. -3, -8, -81 Sort 5, -3, 0, -1255. -1255, -3, 0, 5 Put -176, -2, -3, -0.2, -4 in ascending order. -176, -4, -3, -2, -0.2 Put 44, 4, -6, -7 in increasing order. -7, -6, 4, 44 Sort -1/5, 5/2, 29/2, 2, -1/3 in descending order. 29/2, 5/2, 2, -1/5, -1/3 Sort -2, -611, 3 in increasing order. -611, -2, 3 Sort -1, -2/5, 0.072, -3, 0.1 in ascending order. -3, -1, -2/5, 0.072, 0.1 Sort 5, -4, 4, -51 in ascending order. -51, -4, 4, 5 Put 0, -2, -5, 1, -10 in ascending order. -10, -5, -2, 0, 1 Sort -0.3, -2283, 0.2 in descending order. 0.2, -0.3, -2283 Put -2/11, 3/5, -0.14, 0.05 in increasing order. -2/11, -0.14, 0.05, 3/5 Sort 7, -0.09, 0.03, 0, -5. -5, -0.09, 0, 0.03, 7 Sort -1, -7, -40 in increasing order. -40, -7, -1 Sort 2, -1, 6. -1, 2, 6 Put -4, -9, 4, -6 in decreasing order. 4, -4, -6, -9 Sort 3, -2, -2/7, -24, 0.1 in ascending order. -24, -2, -2/7, 0.1, 3 Put 1/3, -9, 0.5, 1 in descending order. 1, 0.5, 1/3, -9 Sort 2, 0.1, 3, 1/5, 0 in descending order. 3, 2, 1/5, 0.1, 0 Sort 0, 5, -2/19, -0.01, -1 in descending order. 5, 0, -0.01, -2/19, -1 Put -1/3, 1/2, 0.02, 1, -1.1 in increasing order. -1.1, -1/3, 0.02, 1/2, 1 Sort -7/6, 1/4, -0.5, 2/15, -2/5 in increasing order. -7/6, -0.5, -2/5, 2/15, 1/4 Put 0.1, 2/11, -1/8 in increasing order. -1/8, 0.1, 2/11 Put 1, 28, 4 in decreasing order. 28, 4, 1 Put -10.54, 2/5, 4 in descending order. 4, 2/5, -10.54 Sort -4, 2, -2, 940, -3 in ascending order. -4, -3, -2, 2, 940 Sort -5, 132, 5, -4 in increasing order. -5, -4, 5, 132 Sort 20, -5, 3, 4, 5 in descending order. 20, 5, 4, 3, -5 Put -0.2, 6/11, 4, 0 in ascending order. -0.2, 0, 6/11, 4 Sort -6, -1, 51 in increasing order. -6, -1, 51 Sort 170, 1/5, -7/2, 1 in descending order. 170, 1, 1/5, -7/2 Sort -20, 2, 0, -2, 13. -20, -2, 0, 2, 13 Sort 345/7, 3, 1/11 in decreasing order. 345/7, 3, 1/11 Sort -1, -101, 4 in ascending order. -101, -1, 4 Sort -411, 3, 2, 13 in descending order. 13, 3, 2, -411 Sort 4, 9, -4, 6 in ascending order. -4, 4, 6, 9 Sort 10, -1, -5, 21, 1. -5, -1, 1, 10, 21 Put 23, -8, -16 in descending order. 23, -8, -16 Sort -1, 1/7, -2, 0.27. -2, -1, 1/7, 0.27 Sort -4, 3, 1, 120 in decreasing order. 120, 3, 1, -4 Put -2/5, -0.0875, -0.1, 0.4 in decreasing order. 0.4, -0.0875, -0.1, -2/5 Sort 21, 9, 3, 1 in decreasing order. 21, 9, 3, 1 Put -20, 24, 2 in descending order. 24, 2, -20 Sort -4, -5, 10 in ascending order. -5, -4, 10 Sort 3, 16, -452. -452, 3, 16 Put -5, 11, 4, 2, -4 in descending order. 11, 4, 2, -4, -5 Sort -2, -30, -4 in increasing order. -30, -4, -2 Put -5, 0.05, -3/4 in descending order. 0.05, -3/4, -5 Put -4, 29, -3, 11 in increasing order. -4, -3, 11, 29 Put 4, -6, 2, 5, -117 in increasing order. -117, -6, 2, 4, 5 Sort 47, -2, 5 in descending order. 47, 5, -2 Sort -1, -6, 0, 3. -6, -1, 0, 3 Put 889, -1, 4, 2 in descending order. 889, 4, 2, -1 Sort 3, -5, 4, 2 in decreasing order. 4, 3, 2, -5 Sort -4, -5, -2, 2 in descending order. 2, -2, -4, -5 Sort 10, -1, 4. -1, 4, 10 Put -0.3, 0.1, -4, -5 in increasing order. -5, -4, -0.3, 0.1 Put -10, 0, -91 in decreasing order. 0, -10, -91 Put -3, -5, -2, 8, 1 in increasing order. -5, -3, -2, 1, 8 Put -6, 15, -2, 4 in descending order. 15, 4, -2, -6 Sort -307, 2, 29 in decreasing order. 29, 2, -307 Put 2/27, -5, -3/4, -0.3 in descending order. 2/27, -0.3, -3/4, -5 Sort -4, 204, 4 in ascending order. -4, 4, 204 Sort 3, 1/6, 0, 0.04 in ascending order. 0, 0.04, 1/6, 3 Sort 5, -7, -9 in descending order. 5, -7, -9 Put -3, 3, -1158 in decreasing order. 3, -3, -1158 Put 3, -3, 4, -4 in decreasing order. 4, 3, -3, -4 Put -6, 4, 0.1, 19 in ascending order. -6, 0.1, 4, 19 Sort 12, -19, -4, -5. -19, -5, -4, 12 Put -104, 6, 2 in increasing order. -104, 2, 6 Sort -122, 0.3, -32 in increasing order. -122, -32, 0.3 Sort -102, 5, -5, 4 in decreasing order. 5, 4, -5, -102 Sort 3.4, -0.4, 0.1, -3 in increasing order. -3, -0.4, 0.1, 3.4 Sort -3, 1, 3 in descending order. 3, 1, -3 Sort 0.1, -7, 1, -2/13 in decreasing order. 1, 0.1, -2/13, -7 Sort -2, 1, -24, 4, -3 in d
{ "pile_set_name": "DM Mathematics" }
e the highest common factor of u and 6. 6 Let u = 11 - 21. Let x(w) = w + 12. Let h be x(u). What is the greatest common factor of h and 5? 1 Suppose -2*i + 38 = 2*r, 2*r = 2*i + r - 41. What is the highest common divisor of 80 and i? 20 Let q(i) = i**3 + i**2 - i + 54. Let z be q(0). Suppose -3*k = 3 - 57. What is the highest common divisor of k and z? 18 Let k(a) = -a**3 + 9*a**2 + 10*a + 2. Let w be k(10). Calculate the highest common factor of 18 and w. 2 Suppose 0 = -13*l + 289 + 101. What is the greatest common divisor of 20 and l? 10 Let m be ((2 - 3) + 1)*-1. Suppose m = 2*t + 4 - 14. What is the highest common divisor of t and 50? 5 Suppose -4*m + 11 = -3*m. Calculate the highest common divisor of 11 and m. 11 Suppose 0 = 2*i - 5*i + 9. Suppose -i*c + 4 + 8 = 0. Suppose -3*m + 1 = -c*m, m = -2*h + 131. What is the greatest common factor of h and 6? 6 Suppose 0*d = -4*d + 48. Let u be (-16)/10*(-10)/4. What is the highest common factor of u and d? 4 Suppose 0 = -a - 1 - 1. Let h be 838/7 + a/(-7). Suppose -16 = -4*u + 44. Calculate the highest common factor of h and u. 15 Let a = 0 - 6. Let n = a + 8. What is the greatest common divisor of n and 16? 2 Suppose -4*d + d + 36 = 0. What is the highest common factor of 12 and d? 12 Let j(g) = g**2 - 5*g + 17. Let s be j(6). Calculate the greatest common factor of 161 and s. 23 Let g = 1 - 2. Let z be g*1 - -13*1. Let m(n) = 2*n - 4. Let l be m(17). Calculate the greatest common factor of z and l. 6 Let n be (15/5)/((-3)/(-640)). Suppose -n = p - 6*p. What is the greatest common divisor of 16 and p? 16 Suppose 0 = 4*t - 628 - 112. What is the highest common divisor of t and 74? 37 Let j = 12 - 7. Suppose 4 + 11 = j*c. Suppose -4*d + 7 = c. What is the highest common factor of d and 7? 1 Let a(x) = -x**3 - 6*x**2 - 3*x - 5. Let z be a(-6). Let n be -1 - (3 + (-3)/3)*-2. Suppose -20 - z = -n*v. Calculate the greatest common factor of v and 1. 1 Suppose 0 = -5*r + 1045 - 100. Calculate the greatest common divisor of 21 and r. 21 Suppose 0*c + 240 = 2*c. Suppose -4*s + c = -0*s. Let y be (-49)/(-4) + 1/(-4). Calculate the greatest common divisor of y and s. 6 Suppose 4*k + 18 = 3*f - 0*k, -5*f + 30 = -5*k. Suppose 3*s - f = -0. Let j = 0 + s. What is the highest common factor of j and 2? 2 Let q(v) be the second derivative of 7*v**3/3 + 9*v**2/2 - 4*v. Let m be q(9). What is the greatest common factor of 15 and m? 15 Let p(l) = -l**2 - 9*l - 4. Let z be p(-11). Let k = z + 40. Calculate the greatest common factor of 70 and k. 14 Let l(m) = m**3 + 4*m**2 + m + 4. Let w be l(-3). Let i = 12 - w. Calculate the greatest common factor of i and 8. 2 Suppose -11 = -r - 4. What is the greatest common divisor of 77 and r? 7 Let m = 3 - 0. Suppose -2*i - i = -m. What is the greatest common divisor of i and 7? 1 Let j = -15 + 48. Calculate the highest common divisor of j and 22. 11 Let b be -1*(2 + -30 + -2). Suppose b = -g + 4*g. Let p(c) = -c**3 - 5*c**2 - 4*c + 2. Let u be p(-4). What is the greatest common factor of u and g? 2 Suppose 4*v - 15 = -4*z + 5*z, 0 = 4*v - 20. Let j = 2 + -1. What is the greatest common factor of j and z? 1 Suppose -w - 4*w + b + 81 = 0, -73 = -5*w + 3*b. Let h = w + -8. Calculate the highest common divisor of h and 99. 9 Let x(r) = r**2 + 9*r - 5. Let d be x(-10). What is the greatest common divisor of d and 1? 1 Let g(l) = 2*l**2 + 4*l + 4. Let o be g(-3). Suppose -2*j + 98 = o. Suppose 2*p + 2*p - 44 = 0. Calculate the highest common factor of p and j. 11 Let k = 28 + 28. What is the greatest common divisor of 8 and k? 8 Let r(s) = 2*s - 7. Let d be r(-9). Let n = d + 80. Suppose 5*l + 4*k - 284 = 0, n = 2*l + 5*k - 45. What is the highest common factor of l and 12? 12 Suppose -33 = -8*y + 135. Let t = 4 - 2. Suppose -2*a + 2*g = t*a - 94, 3*a = -4*g + 43. Calculate the highest common divisor of y and a. 21 Let k be 1*(-2)/(-2) - -2. Suppose 4*l + k = 4*p + 51, 5*l - 2*p - 51 = 0. Suppose -z - 4 + 7 = 0. What is the highest common divisor of z and l? 3 Let a(s) be the third derivative of 5*s**5/12 + s**3/6 - 7*s**2. Let v be a(1). What is the greatest common factor of 13 and v? 13 Let r(q) = 3*q**3 + 7*q**2 + 7*q - 2. Let p(w) = w**3. Let t(f) = 2*p(f) - r(f). Let k be t(-6). Calculate the highest common factor of k and 72. 8 Suppose -2*p = -50 - 6. Let d(x) = -x**2 + 6*x - 5. Let g be d(3). Calculate the highest common factor of p and g. 4 Let s(o) = 8*o**2 - 7*o + 12. Let q be s(4). Calculate the highest common factor of 8 and q. 8 Let h = 11 + -6. Suppose h + 5 = -o + 5*a, 4*o - 52 = -3*a. Calculate the greatest common factor of o and 5. 5 Let j = -84 - -356. Calculate the highest common divisor of 17 and j. 17 Suppose -4*v + 375 = 39. Let u = 4 + 10. Calculate the highest common factor of u and v. 14 Suppose 0*u + u + 41 = m, m - 46 = 2*u. Let c be (m/(-15))/((-3)/15). What is the greatest common factor of c and 132? 12 Let a(i) = -i**3 - 14. Let p be a(0). Suppose 16 = -0*h - 2*h. Let t = h - p. What is the highest common divisor of 12 and t? 6 Let h(l) = -l**3 - 8*l**2 - 8*l. Let g be h(-7). Suppose -3 = q - g. Suppose -f - q = -13. Calculate the greatest common factor of f and 72. 9 Let x = -20 + 32. What is the greatest common factor of 24 and x? 12 Let z be (-454)/(-6) + 7/21. Let m(g) = 5*g**2 - g + 1. Let c be m(2). Calculate the greatest common factor of z and c. 19 Suppose 2*g = 5*m - 218, -g = -5*m - 3*g + 222. Suppose 0 = -r + 5*r - m. Calculate the greatest common factor of 33 and r. 11 Let t = -20 - -32. Suppose 2*k = 3*g - k - 15, -4*k + 20 = 4*g. Suppose g*m = 4*x - 106, 5*x + 4 = m + 126. Calculate the highest common divisor of t and x. 12 Suppose -2*o = -2*q - 10, 3*o = -o - 3*q + 6. Let t = o - 3. Suppose w + 5*f - 25 = 0, f + t*f - 145 = -3*w. Calculate the greatest common factor of 20 and w. 10 Let a(x) = x**3 + 9*x**2 - 12*x + 4. Let g be a(-10). What is the highest common factor of g and 6? 6 Let l(a) = -a**2 + 5*a. Let v be l(4). Suppose -2*u = -3*u - v. Let t be (-61)/(-7) - u/14. Calculate the highest common factor of 27 and t. 9 Let o be (75/(-4))/(15/(-160)). Suppose 2*x = -3*x + o. Let r(s) = s**3 - 4*s**2 - 5*s + 4. Let v be r(5). Calculate the greatest common factor of v and x. 4 Let n be 12/(-54) - 938/(-9). Calculate the highest common factor of n and 13. 13 Let v = -64 - -134. Let g(m) = 2*m**3 - 3*m**2 + 1. Let t be g(3). What is the highest common factor of t and v? 14 Let q(h) = -18*h - 2. Let v be q(-5). What is the highest common divisor of 8 and v? 8 Suppose -x - 58 = -2*m, 5*m - 118 = -2*x + 36. Let i be (-8 - -47) + 6*1. Calculate the greatest common factor of m and i. 15 Suppose -2*d = -7 - 17. Let f = 42 + 6. Calculate the highest common factor of d and f. 12 Let c(f) = -f**3 + 6*f**2 + 9*f + 6. Let j be c(6). What is the greatest common divisor of j and 12? 12 Let u = 10 - 6. Suppose 5*o - 345 = -5*q, -294 = -u*o + 2*q - 0*q. Calculate the highest common factor of o and 9. 9 Let p(z) = -z + 45. Let g be p(9). What is the highest common divisor of g and 162? 18 Let c = 12 + 8. Calculate the highest common factor of 50 and c. 10 Let w = -67 + 71. Calculate the greatest common divisor of w and 2. 2 Let f(m) = m**2 - 7*m - 13. Let w be f(9). Suppose 3*c + 87 = 6*c + 4*q, w*c + q = 128. Let t be 1/2*(-1 - -11). What is the greatest common divisor of c and t? 5 Let o = 71 + 9. Let l be 2/(-3) + (-248)/(-12). Calculate the greatest common divisor of l and o. 20 Suppose v = 5*z + 40, 4*v = -2*z - 3*z + 110. Let a = v - 10. Calculate the greatest common divisor of a and 50. 10 Let n(h) = -2*h**2 + 28*h + 10. Let g be n(14). What is the highest common divisor of 30 and g? 10 Suppose -3*t = -7*t + 72. Suppose -3*j + 57 = t. Calculate the highest common factor of j and 117. 13 Let o = 5 + -6. Let v be -1 - (-8 + o/(-1)). Calculate the highest common divisor of 42 and v. 6 Let s = -3 - 4. Suppose -4*h + 8 + 0 = 0. Let q be 220/14 - h/s. Calculate the greatest common divisor of q and 24. 8 Suppose -5 = 5*r - 20. Suppose 2*b = r*b - 30. Suppose 150 = -2*u + 4*u. Calculate the greatest common divisor of u and b. 15 Suppose 2*z - 11 = -1, -z - 6 = -a. Let i be (-8)/44 + 167/a. Calculate the highest common factor of 3 and i. 3 Suppose 6*
{ "pile_set_name": "DM Mathematics" }
ird smallest value in 0.5, o, r? r Let o be ((-6)/(-26))/((-3)/4). What is the biggest value in o, -0.2, -3? -0.2 Let j = 26.41 + 0.59. Let t = j + -26.6. Let q = 2.04 - 0.04. Which is the second biggest value? (a) q (b) t (c) -2/7 b Let d be ((-8)/12 + 213/378)*-123. Let f = -77/6 + d. Let w be (1 - 1)/2 + -3. Which is the third biggest value? (a) 1/6 (b) w (c) f b Let k = -12.7 + 12. Suppose 0 = -9*v - 7 + 7. Which is the third smallest value? (a) k (b) 0.5 (c) v b Let h = 4370 - 4375. Let w = -0.7 - -1. What is the second biggest value in -2, w, h? -2 Suppose 3*b = -p + 14 + 26, 4*p - 4*b = 80. Suppose -7 = -6*z - p. What is the smallest value in z, 5, -1? z Let f = 7 + -6.6. Let o = f + 0.6. Let y = 0.564 - 0.264. What is the second smallest value in y, o, -1/4? y Let r = 227.9 + -1.9. Which is the second biggest value? (a) -1/3 (b) 0 (c) r b Let i = -45 - -23. Let f = -1718.2 - -1914. Let h = f - 196. What is the smallest value in 0, h, i? i Let v = -0.151 + 4.151. What is the biggest value in 0.1, v, 5, 2/11? 5 Let r = -270.9 + 271. Let s = -0.28 - 0.02. Which is the third biggest value? (a) -1 (b) s (c) 0.5 (d) r b Let y = 37.11 - 0.11. Let t = y - 37.3. Which is the third smallest value? (a) -2 (b) -4 (c) t (d) 10 c Let x = -0.519 - -0.54. Let q = x - 0.421. Which is the third biggest value? (a) -1 (b) 5 (c) 1 (d) q d Let w = -1.411 - -1.511. What is the fourth smallest value in w, 17, 0.2, -5/6? 17 Let q = -0.1 + -11.9. Let i = -23 - -38. Let u = i + q. Which is the smallest value? (a) u (b) 4 (c) -0.3 c Suppose -4*a + 18 = -2*s - 0*s, -4*a = s - 15. What is the third smallest value in -5, -1/6, -0.4, s? -0.4 Let s = -2 - -2. Let h = 0.12 - s. Let n = h - 4.12. What is the third smallest value in 0.3, 2, n? 2 Suppose -4*n - 12 = -0*n. Let d = 4.099 - 0.099. What is the biggest value in -1/14, n, d? d Let t = 22 + -18. Let y = 52.5 - 53. What is the second biggest value in y, -0.4, t, -1? -0.4 Suppose 16 = -0*m - 3*m + n, -24 = 2*m - 4*n. Let f be m + 20/6 - -2. What is the third smallest value in -4, f, -2? f Let h = -14.4 - 2.6. Let p = 13 + -25. Let b = h - p. What is the biggest value in 1/3, -3, b? 1/3 Let u(a) = a**2 + 5*a - 1. Let k be u(-4). Let x be 3/(54/k)*-3. What is the second biggest value in x, -2, -0.2? -0.2 Suppose 5*v + 23 = 33. Suppose 0 = -4*l - 5*w + 76, 6*l - v*w = l + 95. Which is the fourth smallest value? (a) -0.3 (b) -1 (c) l (d) -4 c Let i = -2 + 18. Let u = -2 + i. Let v = 12 - u. What is the smallest value in -0.3, v, -2/5? v Let x = 1 - -1. Let k = 42.98 - 43. Let i = 0.08 - k. Which is the second smallest value? (a) x (b) -4 (c) i c Let l = -80 + 401/5. Which is the smallest value? (a) -3 (b) -4 (c) 2 (d) l b Let c = 125 + -120. What is the third biggest value in -3/5, 1, c, 121? 1 Let s = 302 - 1207/4. Which is the smallest value? (a) s (b) 0.2 (c) 0.0055 (d) -1/6 d Let t = 904 + -904.4. What is the second biggest value in t, 0.013, 2/5, 3? 2/5 Let u = 13/32 - 105/416. Let j be ((-2)/(-15))/((-28)/(-175)). What is the second biggest value in 1, 4, u, j? 1 Let j = -1201 + 1201. Let s be (-1 + 2)*(-20)/5. Which is the smallest value? (a) j (b) 0.3 (c) s (d) 1/5 c Let w = -11 + 15. Which is the fourth biggest value? (a) -0.4 (b) 0.4 (c) -1/23 (d) w a Let t = -3.6 - -4. Let o = 1695 + -37307/22. Let m = -3/11 - o. What is the biggest value in m, t, 0.1? m Suppose -j - 26 = -22. Let c = 6749/8 + -845. Let x = c - -7/8. What is the third smallest value in 5, x, j? 5 Let u = -369 - -2215/6. Which is the third biggest value? (a) 51 (b) u (c) 3 b Let r be ((-1)/(-17))/(11 + (-23)/2). What is the biggest value in 3/4, -4, r, 0? 3/4 Let h = 9.2 + -9. Let g = 9.3 - 10. Let s = -0.4 - g. What is the third smallest value in s, 3/7, h? 3/7 Let w be 9/2*(616/(-21))/(-11). Suppose -2*g - w = 2*g. Which is the fourth smallest value? (a) 3 (b) -1 (c) g (d) 2.5 a Let h(w) = 7*w**2 + w - 2. Suppose 0*u + 2*u = 2. Let m be h(u). Let o be (m/4)/((-81)/12). What is the second smallest value in o, 0, 2? 0 Let w = -92 - -97. Let q(h) = 151*h + 1. Let u be q(1). Let z = u + -1066/7. Which is the biggest value? (a) z (b) 3 (c) w c Let d = -0.6 - -0.3. Let j = 0.0707 - 1.1417. Let o = j + 0.271. What is the biggest value in 1/4, d, o? 1/4 Let l = 1.49 - 1.61. Let z = -0.02 + 0. Let m = z - l. What is the second smallest value in m, 3, -9? m Let i = 664 + -617. Which is the second biggest value? (a) 0 (b) -0.5 (c) i a Let i = 526 + -2628/5. Let d be 7/(-18) - 1/(-6). Let l be 6/21 + 40/(-126). Which is the second smallest value? (a) l (b) i (c) d a Let j be ((-336)/35 - -10)/(1/5). What is the fourth biggest value in 3, j, 1, 1/2? 1/2 Let n = -3.16 + 2.8. Let w = -1.64 + n. Let q = -4.5 - 0.5. What is the biggest value in q, -2/7, w? -2/7 Let b = 0.006 + 0.394. What is the second biggest value in b, 1/6, -3? 1/6 Let h = 26 - 17. Let n be (-1)/(-5) + h/30. Let a = -0.5 - -0.1. What is the second smallest value in -2, a, n? a Let l = 410 + -396. What is the second smallest value in 3, l, 0.2? 3 Suppose -30*j = -103 - 47. Let i = 1873/7 - 267. Which is the biggest value? (a) 2 (b) i (c) j c Let c(o) = -2*o - 9. Let a be c(-5). What is the biggest value in 2/7, -0.4, a, 0.3? a Suppose 0 = 2*y + 4*x - 22, -4*y = -2*x + 5*x - 19. Let p be (y - -1)/((-4)/10). Let t = 4.927 + -5.027. What is the second smallest value in p, 3/5, t? t Let o = -0.05 + -0.35. Let j be ((-136)/476)/((-6)/(-7)). What is the biggest value in 1, 0.2, o, j? 1 Let z = 495 - 493. Let u be -1*(1 - 4/10). What is the third smallest value in z, 5/4, u? z Let x = 0.5 - 0.7. Suppose 645*v + 6 = 639*v. Which is the smallest value? (a) -2/9 (b) x (c) v c Let z = 1.53 + -1.63. Which is the second smallest value? (a) z (b) 24 (c) -4 a Let n be 3/9 - (-10)/24. Let t = 68.1 - -3.9. Let j = -77 + t. Which is the second biggest value? (a) j (b) n (c) -3 c Let n = 178 + -174. Which is the second biggest value? (a) 0.7 (b) 0.5 (c) -0.1 (d) n a Let w = -2.1 - -2. Let r(h) = -h**3 - 5*h**2 - 5*h - 1. Let f be r(-4). Suppose -f*v + 7*v = 4*a - 20, 2*a = -4*v - 20. What is the smallest value in 0.3, v, w? v Let t = 39.511 + -40.1. Let f = t + -0.011. Which is the smallest value? (a) f (b) 3 (c) 0 a Let q = 3329.8 - 3330. Let a be ((-6)/(-10))/((-9)/6). What is the second biggest value in a, 2/9, q? q Let j = 11 + -20. Let d = -7.033 - -0.033. Let w = j - d. Which is the second biggest value? (a) -0.4 (b) 0.1 (c) w a Let y = 73.38 - -10.42. Let a = -84 + y. What is the smallest value in -7, 2/13, 0, a? -7 Let t = 878.055 + -888. Let n = t + -1.365. Let g = n + 0.31. Which is the biggest value? (a) g (b) 1 (c) -0.2 b Suppose 16 = -5*y + 1. Let x be ((-1219)/2385 - (4/15)/(-4)) + 0. Which is the second smallest value? (a) 2/7 (b) y (c) -5 (d) x b Let d = -30 - -35. Let m be (2/2)/((-7)/35). Let k = 7 + m. Which is the third biggest value? (a) d (b) 2/7 (c) k b Let c = -4355/11 - -396. What is the third smallest value in c, -5, 1/10? 1/10 Let g = -6.9 - 1.1. Let k = g - -12. Which is the second smallest value? (a) -0.2 (b) k (c) 0.2 c Let x = -0.0371 + -3.9629. Which is the biggest value? (a) -18/11 (b) 2/3 (c) x b Let w = -514 - -8740/17. What is the smallest value in -14/11, w, -0.1, -5? -5 Let y = 318 - 305. What is the third biggest value in 5, -2/9, y, -0.5? -2/9 Let a = -231 - -231. What is the biggest value in 0.5, -11, 2/7, a? 0.5 Let n be 49/(-70)*4 + 1/(-5). What is the third smallest value in 27/4, n, -6? 27/4 Let v = 3.0055 + -0.0055. Let i be -1*((-6)/5 - -1). Which is the second biggest value? (a) -4 (b) v (c) i c Let d = -733 + 15398/21. Let w = -17/105 - d. Let b = -72 - -67. What is the biggest value in w, -1/4, b? -1/4 Suppose -3*a = -2*i - 30, -4*i + i - a - 23 = 0. What is the second biggest value in i, -2/7, 0.1, -4? -2/7 Let h = -29 + -10. Let z = -43 - h. Let b = -11 + 8. What is the second smallest value in 0.4, b, z? b Let d be ((-137)/411)/(1/(-12)). What is the third smallest value in -3/5, 0.6, d, 5? d Let i(p) = -p**2 - 9*p - 18. Let h be i(-4). Which is the second smallest value? (a) h (b) -0.1 (c) 0.5 (d) -4/3 b Let u be 3 - 3 - (-7)/4. Suppose 56
{ "pile_set_name": "DM Mathematics" }
of o(-2)? 8 Let d(c) = 13451*c**2 - 37*c + 81. What is the hundreds digit of d(2)? 8 Suppose 6*z + 14 = -z. Let u(i) = i - 1. Let g(c) = -5*c. Let r(t) = -g(t) - 6*u(t). What is the units digit of r(z)? 8 What is the ten thousands digit of ((-2997630)/513)/((-6)/63)? 6 Let d = -5659 - -10914. What is the tens digit of d? 5 Let w = -37 + 2. Let m be w/(-20) + 2/8. Suppose 0 = -z, 246 = m*p - z - z. What is the tens digit of p? 2 Let l(y) = 61*y**3 - 5*y**2 + 10*y + 15. What is the units digit of l(5)? 5 Suppose -15 = -4*r - 7, 5*r - 110086 = -3*q. What is the units digit of q? 2 What is the units digit of (-230097)/(-18) - -8 - ((-46)/12 + 3)? 2 Let v(p) = 6*p**2 - 167*p + 4094. What is the hundreds digit of v(36)? 8 Let y(k) = -k**3 - 15*k**2 + 12*k + 34. What is the units digit of y(-26)? 8 Let w(t) = 869*t + 2427. What is the thousands digit of w(20)? 9 What is the units digit of (-37786294)/(-819) + 2/4*2/(-9)? 7 Let s be ((-2)/5)/(((-3)/(-5))/(-3)). Suppose 2*x = -4*c + 438, -x = -s*x - 3*c + 217. What is the hundreds digit of x? 2 Let c(z) = z**2 - 18*z - 112. Let p be c(-5). Suppose 5*s - 939 = -3*f, -2*s + 3*f = -p*s + 195. What is the units digit of s? 6 Suppose 5*h - 1509 = n - 5*n, -2*n = -h + 313. Suppose -x + h = -886. What is the units digit of x? 1 Let j be (-175)/105*6/(-5). Let h(l) = -l**3 + 3*l**2 - 3*l + 2. Let r be h(2). Suppose 0 = f, -j*n + r*n + 3*f = -194. What is the units digit of n? 7 Let s(h) = 3666*h. Let b = 70 + -69. Let q be s(b). What is the tens digit of (-1 - 10/(-8)) + q/24? 5 Suppose 5*i = -25, 49*i + 3 = u + 51*i. Let f(h) be the second derivative of 19*h**3/6 - 25*h**2 - 2*h. What is the units digit of f(u)? 7 Suppose 10 = 2*k + 492. Let q = k - -597. Suppose j = -3*j + q. What is the tens digit of j? 8 Suppose -2*p - 55620 = -4*a, 2*p = 229*a - 224*a - 69528. What is the thousands digit of a? 3 What is the tens digit of 36/(-198) - 740677/(-77)? 1 Let b = -36 + 50. Let o = b + -43. What is the units digit of (-1)/(((-4)/(-4))/o)? 9 Let m(v) = 52*v**2 - 8*v + 9. Let l be 26/(-5) + 37/185. What is the thousands digit of m(l)? 1 Suppose -125 = 3*u + 4*n, -5*u + n - 23 - 193 = 0. Let a = 841 - u. What is the tens digit of a? 8 Let m be ((-2)/(-6))/((-21)/504). Let h be ((-9)/(-3) - 27)/(6/m). What is the tens digit of (-64)/3*(h - 38)? 2 Let b = 133496 + -87931. What is the thousands digit of b? 5 Let b = -440 + 442. Suppose 2*h - 3*m + 1345 = 4*h, 3*h - 2020 = -b*m. What is the hundreds digit of h? 6 Suppose 34*i - 41524 = 8252. Let j = 2629 - i. What is the tens digit of j? 6 Let o(y) = 36*y + 2. Let l be o(8). Let k = -72 + l. Suppose -83 = 3*x - k. What is the units digit of x? 5 What is the tens digit of -5*54/(-990) + (-10)/(-11)*4469? 6 Let h(o) = 1. Let f(k) = 3*k + 207. Let s(i) = f(i) + 9*h(i). What is the tens digit of s(-29)? 2 Let n(a) = 1554*a + 535. What is the thousands digit of n(11)? 7 Let o = -1765 + 2621. Let g = o + -455. What is the units digit of g? 1 Suppose 3*n - 36 = 3*c, 3*c - 33 = -4*n + 15. Suppose -n*k = -11*k - 1353. What is the tens digit of k? 5 Let x = -1013 + 1293. What is the units digit of x? 0 Let p(d) = 76*d**3 - 7*d**2 - 16*d + 64. What is the units digit of p(4)? 2 Let r = 78253 - 26709. What is the units digit of r? 4 Let q = -12 + 34. Suppose z - 570 - q = -4*x, 4*z = -5*x + 2346. What is the tens digit of z? 8 Suppose 3*r = 4*o - 195, -4*o + 2*r = -103 - 91. Suppose 0*m - 2*c = m + o, -m + 4*c = 18. Let w = -37 - m. What is the units digit of w? 1 Suppose 0 = -2*o - 3 + 17. Let w(v) be the first derivative of -v**4/4 + 5*v**3/3 + 13*v**2/2 + 17*v + 5. What is the units digit of w(o)? 0 Let a(b) = 137*b - 271. Let q be a(-9). Let w = 2283 + q. What is the tens digit of w? 7 Suppose 10*r - 89390 = -40809 + 146349. What is the tens digit of r? 9 Let b(p) = -18827*p + 4816. What is the ten thousands digit of b(-2)? 4 Suppose 768*s + 146864 = 741*s + 555050. What is the hundreds digit of s? 1 Suppose -4*h = -7*h - 9. Let x(f) = f**3 + 4*f**2 + f - 4. Let o be x(h). Suppose -7 = -o*j + 11. What is the units digit of j? 9 What is the ten thousands digit of ((-174470)/1095)/((-2)/171)? 1 Let m(a) = a + 25. Suppose v = 2*v + 18. Let y be m(v). Suppose -y = -g + 8. What is the tens digit of g? 1 Let s(g) = 33796*g**3 + 2*g**2 - 158*g + 156. What is the units digit of s(1)? 6 Let q(h) = -12*h + 77. Let u(i) = -2*i - 24. Let d be u(-6). What is the hundreds digit of q(d)? 2 Let t = 30797 + -13679. What is the hundreds digit of t? 1 What is the tens digit of (0 - -7) + (-13185)/((-26)/26)? 9 Let c(k) be the third derivative of k**5/30 + k**4/4 - 3*k**3 - 28*k**2 + 3*k. What is the units digit of c(-18)? 2 What is the thousands digit of (-617136)/(-260) - 4/(-10)? 2 Let k(d) = -d**3 - 4*d**2 + 13*d + 8. Let n be k(-5). Let h be (-6 + 1)/(-5) - n. Suppose h + 69 = 2*y. What is the tens digit of y? 5 Let q = 101 + -98. Suppose 0 = -30*x + 29*x + q. Suppose x*k + 5*h - 495 = 0, 3*k + 24 - 537 = h. What is the hundreds digit of k? 1 Let v be ((-85)/10)/((-14)/56). Suppose v*b - 24432 = 20380. What is the tens digit of b? 1 Suppose 0 = 3*b - u - 9, -3*u = -5*b + 5 + 6. Suppose -20 = b*j - 0*j, 2*r = j + 15. Suppose 244 = 3*d - r*z, -z = 3*d - 6*d + 248. What is the tens digit of d? 8 Let x = 1627 + -745. Let r = x - 528. What is the units digit of r? 4 Let g be 2852 + (-1 - -2)*-4. Suppose 10*v - 1812 = g. What is the tens digit of v? 6 Suppose 3*o + 5093 + 3397 = m, -2*o + 33946 = 4*m. What is the tens digit of m? 8 Let l be 438/30 - 6/10. Suppose -5*k = -l*k + 999. What is the hundreds digit of k? 1 Let k(o) be the second derivative of 185*o**3/3 - 7*o**2 + 14*o. Let v be k(4). Suppose -302 = -8*m + v. What is the tens digit of m? 2 Let n = -92 + 55. Let r = 36 + n. What is the hundreds digit of (-501)/6*(-1 + 0 + r)? 1 Suppose w + 32*p - 8586 = 36*p, 0 = 3*w - 3*p - 25776. What is the units digit of w? 4 Let f = -1 - -4. Let r = 2569 - 2442. Suppose f*n + 5*a - 253 = 0, 4*n = 2*n + 5*a + r. What is the tens digit of n? 7 Let i(z) = 75*z - 93. Let h be i(41). Let d = h + -1696. What is the thousands digit of d? 1 Let o = 50 + 51. Suppose -n + 784 - o = 0. What is the hundreds digit of n? 6 Let z = -58489 + 89063. What is the thousands digit of z? 0 Let o = 112 + -190. Let m be (o/26)/(1/(-401)). Suppose 9*d - m = 840. What is the tens digit of d? 2 Let g(p) = p**2 - 6*p - 10. Let b be g(7). Let m be (-1 - 1/(b/(-3)))*-2. What is the units digit of 1*(m + 24/4)? 0 Suppose 2 = 3*m - 5*m, -3*m + 36392 = 5*w. What is the thousands digit of w? 7 Let v = -304 - -306. Suppose -851 = -v*b - 111. What is the tens digit of b? 7 Suppose -2*t - 24 = -6*t. What is the tens digit of 9/t + ((-2031)/(-6) - 5)? 3 Suppose 5*l + 2*m - 62179 - 170950 = 0, -2*l + 4*m = -93266. What is the ten thousands digit of l? 4 Let l(x) be the first derivative of 11*x**4/4 - x**3/2 + 2*x**2 - 16*x + 14. Let g(j) be the first derivative of l(j). What is the tens digit of g(2)? 3 Suppose 0 = d + 32*t - 30*t - 1318, 0 = -d - 3*t + 1324. What is the thousands digit of d? 1 Suppose -2*p - 9*t + 5*t + 36 = 0, 2*p - 5*t + 9 = 0. What is the tens digit of (-84)/63*(-1506)/p? 5 Let h = -84 + 87. Suppose -a + 0*l = 5*l - 33, h*a - 14 = 2*l. What is the units digit of ((-6)/a)/(2/(-8))? 3 Let m be 3 + -2 + 0 + 1. Suppose 4*o = 3*c - 6, 8 = 5*o + 3*c + c. Suppose o = m*u - 35 - 85. What is the units digit of u? 0 What is the units digit of 27996/(-39)*(-1534)/236? 6 Suppose 3*w + 2*z - 9 = -0*w, -4*w = z - 12. Let d be (w + -1 + -1)/(2/10). Let b(h) = h**2 - h - 17. What is the units digit of b(d)? 3 Let j = -35 + 27. Let f = j - -8. What is the units digit of 0 - (4 - (f - -27))? 3 Let s(h) = h**2 - 22*h + 99. Let l be s(17). Let t(u) = 4*u**2 - 2*u - 34. What is the tens digit of t(l)? 2 Suppose -3*i - 2*h + 1271 = 0, -3*i + 2*h + 1896 - 617 = 0. Suppose 0 = 5*p - i + 40. What is the units digit of p? 7 Let y be 3/(-9) + 35/15. What is the tens digit of (0 - (-4)/6)/(y/2610)? 7 Suppose 2*z = 2*h - 40, 5*h - 5*z = -7*z + 65. Suppose -2*d + 5*d - h = 0, -1053 = -2*i - 5*d. What is the units digit of i? 4 Suppose -1377*a + 1372*a + 77133 = 4*p, -3*p + 4*a + 57873 = 0. What is the hundreds digit of p? 2 Let b be (-8)/(-32)
{ "pile_set_name": "DM Mathematics" }
337*m**2 - 11*m**3 + 22*m**3 wrt m? -240*m**3 + 132 Let i(g) be the third derivative of -707*g**4/12 - 370*g**3/3 + 2044*g**2. What is the first derivative of i(p) wrt p? -1414 Let d(i) be the third derivative of 0*i - 31/20*i**5 + 0*i**6 - 9/8*i**4 + 1/3*i**3 + 3 + i**2 - 1/105*i**7. Find the second derivative of d(c) wrt c. -24*c**2 - 186 Let q(f) = 14*f**2 + 2*f - 3. Let l be q(-2). What is the first derivative of 52 + 103*m + l*m**4 - 208*m + 105*m wrt m? 196*m**3 Let c(w) = w**2 - 7*w + 1. Let f be c(9). What is the third derivative of -60 + f + 35 + 13*s**2 + 228*s**3 wrt s? 1368 Let c(m) be the second derivative of -m**5/4 + m**4/12 + m**3/2 + 29*m**2/2 + 1102*m. What is the second derivative of c(l) wrt l? -30*l + 2 Let i(l) be the second derivative of l**4/12 + l**3/6 - 4*l**2 + 37*l. Let y be i(-4). What is the first derivative of -3*a + 16*a**4 - 9 + 3*a - y wrt a? 64*a**3 Let a(o) be the third derivative of -3*o + 0*o**3 - 13/12*o**5 + 0 + 5/2*o**4 + 3*o**2. What is the second derivative of a(p) wrt p? -130 What is the third derivative of -17*a**2 - 2 - 3788*a**4 + 675*a**4 - 101*a + 17*a + 1063*a**4 - 3769*a**4 wrt a? -139656*a Let o(d) = d**2 - 2*d + 32. Let k be o(0). Let n = k - -41. What is the first derivative of -n*y + 7 + 73*y - 8*y**2 wrt y? -16*y Differentiate -z**4 - 6*z**4 + 39*z**2 - 26*z**4 + 1358 - 2941 + 6043 with respect to z. -132*z**3 + 78*z Find the second derivative of 3*a**3 + 2*a**3 + 4 + a**3 - 41*a**2 - 141*a + 106*a + 4*a**3 wrt a. 60*a - 82 Let i(t) be the second derivative of 155*t**2 + 143/6*t**4 + 0*t**3 - 1 - 99*t. What is the first derivative of i(u) wrt u? 572*u Let t be (-36)/90 - 12/(-5). What is the second derivative of -91*j + 7 + 6 + 5*j**t - 13 wrt j? 10 Let v(z) = -1893*z - 1283. Let s(r) = -r - 3. Let x(k) = 26*s(k) + 2*v(k). What is the first derivative of x(o) wrt o? -3812 Suppose -4*v + 544 = 13*v. What is the second derivative of -16*j**2 + 26*j**2 + 8*j - 17*j - v*j wrt j? 20 What is the second derivative of 84*m**4 + 5*m**2 + m**2 - 3*m**3 + 5*m**2 - 82*m**4 + 2810*m wrt m? 24*m**2 - 18*m + 22 Let w(s) be the third derivative of 0*s**3 + 1/15*s**5 + 1/120*s**6 + 0 + 0*s + 0*s**4 + 4*s**2 - 17/105*s**7. What is the third derivative of w(g) wrt g? -816*g + 6 Let h be 1/(1*5/985). What is the third derivative of -71*v**2 + 48*v**5 - 17*v**2 + 155*v**2 - h*v**5 wrt v? -8940*v**2 Let c(i) be the first derivative of 0*i**4 - 8 + 2/5*i**5 + 0*i - 11/2*i**6 + 71/2*i**2 + 0*i**3. What is the second derivative of c(u) wrt u? -660*u**3 + 24*u**2 Let h(q) = -502*q**4 + 3896. Let x(v) = -251*v**4 + 1947. Let u(f) = -3*h(f) + 5*x(f). Find the first derivative of u(z) wrt z. 1004*z**3 Suppose -5*t - 11 = 69. Let w be 16/40 - t/10. Find the third derivative of -w*k**2 - 13*k**4 - 26*k**4 - 5*k**3 + 5*k**3 wrt k. -936*k Let r(f) = f**3 + 3*f**2 - 15*f + 4. Let m be r(4). Find the second derivative of -6753 + 6753 - m*l - 37*l**5 wrt l. -740*l**3 Find the second derivative of 396*f**2 - f**5 - 35*f - 963*f**2 + 2 - 1392*f**2 wrt f. -20*f**3 - 3918 Let w(p) be the second derivative of -756*p**5/5 - 208*p**2 - p - 18. What is the derivative of w(x) wrt x? -9072*x**2 What is the derivative of -934 - 571*n**3 - n - 3*n + 4287 + 4*n wrt n? -1713*n**2 What is the third derivative of 15326*n**3 + 4*n**2 + 39 - 38 - 4*n - 12673*n**3 wrt n? 15918 Let a(u) be the second derivative of -3/2*u**2 + 0*u**4 + 0*u**5 + 116*u - 46/15*u**6 + 0 + 7/6*u**3. What is the second derivative of a(v) wrt v? -1104*v**2 Find the second derivative of 9*o**5 - 8*o**5 - 4 + 784*o**2 + 239*o - 789*o**2 + o**5 - 111*o**3 wrt o. 40*o**3 - 666*o - 10 Let u be (-1 - (-3 - 6)) + 2. Let z be u - 8 - (-6)/1. What is the third derivative of -33*l**6 + 4*l**2 + 18*l**6 + z*l**2 wrt l? -1800*l**3 Find the second derivative of 1010317*t**5 + 20*t**2 + 3*t**2 + 130*t - 1010339*t**5 - t**4 wrt t. -440*t**3 - 12*t**2 + 46 Let t be (3 - -1) + 4 + 44. Let g = -48 + t. What is the derivative of -34 + 9*a**4 - 4*a**4 + 2*a**4 + 4*a**g wrt a? 44*a**3 Let m(j) be the first derivative of -257*j**6/3 - 1217*j**3 + 1505. What is the third derivative of m(v) wrt v? -30840*v**2 Let u be ((-368)/24)/(-3 + (-8)/(-3)). Find the first derivative of 33*g**3 + 14*g**3 + 53 + 118 + 80 + u*g**3 wrt g. 279*g**2 Suppose -k = -5*t - 13, -2*t + 2 = 3*k - 3. Suppose 5*c = k*c + 8. Find the first derivative of 128 + 4*x**4 - 94 + x**c wrt x. 20*x**3 Let v(w) be the second derivative of -w**6/15 + 323*w**4/6 + 64*w**2 - 5484*w. Differentiate v(a) wrt a. -8*a**3 + 1292*a Let b(t) be the third derivative of -477*t**7/70 + 2531*t**3/6 - 2583*t**2. What is the derivative of b(r) wrt r? -5724*r**3 Let s(m) = -2150*m**2 - 3643*m - 8. Let y(d) = -717*d**2 - 1218*d - 3. Let i(z) = -3*s(z) + 8*y(z). What is the second derivative of i(c) wrt c? 1428 What is the third derivative of 806*j**2 + 368*j**6 + 597*j**6 - 1509*j**6 - 1559*j**6 + 2029*j**2 wrt j? -252360*j**3 What is the third derivative of 144*n**2 - 16*n**6 + 748*n**2 - 3*n**6 + 1391*n**4 - 1403*n**4 wrt n? -2280*n**3 - 288*n Suppose -2*h - 4 = -20. Let b be -2*(20/h + -4). Find the third derivative of -42*o**3 - 7*o**2 - 6*o**2 + 26*o**b wrt o. -96 Differentiate 2872*r**3 - 2370 - 37*r**3 + 868 with respect to r. 8505*r**2 Let p(k) be the first derivative of 0*k + 0*k**2 - 1/4*k**5 - 8/3*k**3 + 14 + 1/2*k**4. Let c(o) be the third derivative of p(o). Differentiate c(a) wrt a. -30 Suppose -d + 10*d = 27. What is the first derivative of 5*g**3 - 26*g**d + 9*g**3 + 8*g**3 - 88 wrt g? -12*g**2 Suppose 3*z + 10 = 8*z. Differentiate -365*y**3 + 181*y**3 + 32*y + z*y**4 + 184*y**3 + 24 with respect to y. 8*y**3 + 32 Let t = -51 + 27. Let c be ((-15)/(-45))/((-2)/t). What is the second derivative of 27*o**c + 2 + 14*o + 1 - 3 wrt o? 324*o**2 Suppose 39 + 27 = 33*l. Differentiate 202*v**2 + 147 - 14*v**3 - 20 - 199*v**l with respect to v. -42*v**2 + 6*v Suppose -d - 2 = -5*s, 0 = 5*s - s - 4. Differentiate -32*g**4 + 189*g**d + 11*g**4 - 34 - 189*g**3 wrt g. -84*g**3 Let m(r) = 2*r - 25. Let n(s) = s - 12. Let z(v) = 6*m(v) - 13*n(v). Let l be z(0). Find the third derivative of b**2 + b**4 + l*b**2 - 2*b**2 wrt b. 24*b Let y(j) = -j**3 + 11*j**2 + 13*j - 11. Let c be y(12). Let s be (27/12)/((3 + c)/48). Find the first derivative of -13 - 38*r**2 - s*r**2 + 59*r**2 wrt r. -12*r Let s(g) = -3*g - 10. Let o(w) = -7*w - 20. Let t(i) = 2*o(i) - 5*s(i). Let b be t(12). Find the third derivative of -8*h**3 + 45*h - b*h**2 - 45*h wrt h. -48 Find the third derivative of 5192*k**6 - 24*k**5 + 1329*k**2 + 44*k**2 - 5181*k**6 wrt k. 1320*k**3 - 1440*k**2 Let n(y) = -15*y**3 - 3278*y**2 + 1471. Let i(b) = 11*b**3 + 2459*b**2 - 1104. Let k(w) = -11*i(w) - 8*n(w). Find the first derivative of k(q) wrt q. -3*q**2 - 1650*q Let g(v) be the first derivative of 0*v**5 + 0*v + 31 + 99/7*v**7 + 0*v**2 - 83/3*v**3 + 1/4*v**4 + 0*v**6. Find the third derivative of g(c) wrt c. 11880*c**3 + 6 Suppose 3*q + 143 = 5*y + 2*q, -y - 2*q = -22. Let n be 25528/y - 4/(-14). What is the derivative of 11*k**3 - 912*k**2 + n*k**2 + 2 wrt k? 33*k**2 Suppose -8*z + 3*q = -3*z - 43334, 43346 = 5*z + 3*q. Let w = z + -3330. Differentiate -28*y**4 - 23 - 5338*y**3 + w*y**3 wrt y. -112*y**3 Suppose 2*r = 5*p - 15, 3*p = 2*r + 10 - 1. Suppose -10 = -2*k - 4. Differentiate 18*y**p - 5 - 10*y**k + 23 with respect to y. 24*y**2 Find the second derivative of -2*o - 2*o**2 + 0*o**2 + 47*o**3 - 23086 - 6*o**4 + 22499 + 2*o**2 wrt o. -72*o**2 + 282*o Let i(g) be the third derivative of 23*g**8/6 - 287*g**5/15 + 50*g**2 + 9. Find the third derivative of i(y) wrt y. 77280*y**2 What is the derivative of 9240 - 3275861*q - 1816 - 3502 + 11314 + 3271437*q wrt q? -4424 Let s(l) be the first derivative of 3383*l**3 - 9749*l**2/2 + 14207. Find the second derivative of s(n) wrt n. 20298 Let q(c) be the first derivative of 0*c**3 - 133 - 35/2*c**2 + 0*c**5 + 0*c - 97/6*c**6 + 0*c**4. What is the second derivative of q(f) wrt f? -1940*f**3 Let v = 2 + 2. Let d(w) = -w**3 + 6*w**2 + 11*w + 2. Let b be d(7). Find the first derivative of b*o**4 + 77 - v*o**4 - 73 wrt o. 104*o**3 Let x(o) be the first derivative of 208*o**5/5 + o**3/3 - 1869*o**2/2 - 1218. What is the second derivative of x(
{ "pile_set_name": "DM Mathematics" }
s(r) = r**2 + 5*r + 18. Give s(-2). 12 Let p(b) = 186*b**2 + 15*b - 14. Determine p(1). 187 Let n(g) = 17*g**2 + 521*g - 12. Calculate n(-30). -342 Let s(z) = z**3 - 56*z**2 - 62*z + 292. Give s(57). 7 Let b(t) = 4*t**2 - 33*t + 80. Give b(4). 12 Let t(n) = -37*n + 335. Determine t(8). 39 Let k(j) = -j**2 - 82*j + 5536. What is k(-126)? -8 Let j(i) = 10*i - 344. Calculate j(-20). -544 Let d(y) = -35*y**2 + 415*y + 62. Determine d(12). 2 Let c(d) = -d**3 - 16*d**2 + 62*d + 129. Calculate c(-20). 489 Let k(z) = 12*z - 418. Determine k(20). -178 Let x(g) = 2340*g - 16383. What is x(7)? -3 Let z(o) = -o**3 + 3*o**2 - 8*o + 132. Determine z(6). -24 Let f(r) = 2*r**2 + 20*r + 6. Give f(-10). 6 Let j(d) = 2*d + 37. Give j(19). 75 Let l(s) = -38*s + 473. What is l(9)? 131 Let i(n) = n**3 + 3*n**2 - 40*n + 7. Give i(-7). 91 Let z(n) = 4*n - 162. Determine z(20). -82 Let r(b) = 2*b**3 - 181*b**2 - 94*b + 273. Determine r(91). 0 Let d(u) = u**2 + 135*u + 2583. Calculate d(-108). -333 Let j(x) = -x**2 + 159*x - 6286. What is j(87)? -22 Let a(y) = 20*y**2 + 54*y + 9. Give a(-4). 113 Let q(w) = -w**3 - 20*w - 46. What is q(-3)? 41 Let i(c) = -30*c**2 + 2765*c - 477. Give i(92). -17 Let z(u) = -2*u**2 - 10*u + 51. Calculate z(-8). 3 Let x(w) = 2*w**2 - 84*w + 610. Calculate x(33). 16 Let r(k) = 2*k**3 - 88*k**2 - 90*k - 48. Give r(45). -48 Let x(f) = -9*f - 241. What is x(-24)? -25 Let m(o) = 321*o - 3860. What is m(12)? -8 Let r(a) = 683*a + 6156. Calculate r(-9). 9 Let v(m) = -15*m**2 - 26*m + 53. Determine v(2). -59 Let v(s) = 8*s**2 + 24*s + 95. Give v(-9). 527 Let m(b) = b**3 + 71*b**2 - 2777*b - 499. Give m(-99). -4 Let q(z) = -313*z + 925. Give q(3). -14 Let s(i) = -i**2 + 39*i - 315. Give s(11). -7 Let q(h) = -h**2 + 54*h + 696. Determine q(-11). -19 Let z(x) = 16*x - 130. Determine z(13). 78 Let f(t) = t**2 + 12*t + 81. Give f(-15). 126 Let y(u) = -5*u**2 + 166*u + 148. Give y(34). 12 Let g(p) = -19*p**2 + 325*p - 324. Give g(1). -18 Let l(b) = b**3 - 55*b**2 + 51*b + 174. Give l(54). 12 Let a(k) = 2*k**3 + 31*k**2 + 19*k + 46. Calculate a(-15). -14 Let b(w) = -w**3 - 8*w**2 + 12*w + 23. Give b(-8). -73 Let v(h) = h**3 - 24*h**2 + 27*h - 161. Give v(23). -69 Let h(d) = -d**2 - 102*d + 199. What is h(2)? -9 Let j(w) = -3*w**2 + 49*w + 198. Determine j(20). -22 Let h(v) = -v**3 + 9*v**2 - 72*v + 409. Determine h(7). 3 Let f(y) = y**3 + 30*y**2 - 52*y - 349. Determine f(-31). 302 Let c(d) = -3*d**2 + 57*d + 199. What is c(22)? 1 Let b(f) = -f**2 + 12*f + 273. What is b(-14)? -91 Let u(b) = 2*b**2 - 54*b - 398. Determine u(29). -282 Let m(t) = -3*t**3 + 27*t**2 - 57*t + 9. Give m(4). 21 Let l(j) = 884*j - 1739. What is l(2)? 29 Let z(a) = 4*a**3 + 187*a**2 - 56*a - 354. Calculate z(-47). 69 Let l(y) = 744*y**3 - y**2 - 3*y + 6. Calculate l(1). 746 Let d(k) = 1384*k + 15210. What is d(-11)? -14 Let v(s) = -s**3 + 56*s**2 - 64*s + 951. Give v(55). 456 Let j(a) = -54*a**3 + 704*a**2 - 23*a - 38. What is j(13)? 1 Let h(i) = -i**2 - 929*i + 6. Determine h(0). 6 Let x(p) = -44*p - 748. What is x(-18)? 44 Let g(j) = -8*j + 381. Determine g(38). 77 Let s(r) = -43*r**2 + 2344*r - 1184. Give s(54). 4 Let h(x) = -949*x - 171763. What is h(-181)? 6 Let p(a) = a**3 - 33*a**2 - 68*a - 36. Determine p(35). 34 Let h(t) = t**2 + 668*t + 38637. Calculate h(-64). -19 Let a(k) = 2*k**3 + 13*k**2 - 35*k - 237. Give a(-6). 9 Let p(n) = -5*n**2 + 324*n - 1861. What is p(6)? -97 Let s(t) = -t**3 + 59*t**2 - 62*t + 229. Determine s(58). -3 Let h(y) = -216*y + 2814. Calculate h(13). 6 Let q(l) = -l**3 - 5*l**2 - 4*l - 453. Calculate q(0). -453 Let g(j) = j**3 + 13*j**2 + 25*j - 16. Calculate g(-9). 83 Let a(o) = -o**3 + o**2 + 42*o + 22. Give a(7). 22 Let h(i) = -13*i + 109. Determine h(15). -86 Let b(h) = -7*h**2 + 4*h + 5. Give b(3). -46 Let l(p) = 33*p**2 - 305*p + 307. Give l(1). 35 Let y(v) = 205*v**2 - 616*v - 30. What is y(3)? -33 Let d(n) = -80*n + 2200. What is d(25)? 200 Let o(y) = 313*y**2 + 4*y + 4. Calculate o(-1). 313 Let y(m) = 260*m + 11966. What is y(-46)? 6 Let s(j) = 2*j**3 + 29*j**2 - 54*j + 29. What is s(-16)? 125 Let q(j) = 22*j + 507. Give q(-26). -65 Let f(d) = 4740*d + 37921. Give f(-8). 1 Let s(q) = q**3 - 17*q**2 + 75*q - 360. Give s(13). -61 Let z(i) = -4*i + 180. Give z(46). -4 Let y(d) = d**3 - 430. Give y(0). -430 Let c(d) = -231*d + 1453. Calculate c(6). 67 Let a(p) = -12*p**2 + 76*p - 28. Calculate a(6). -4 Let i(y) = 4*y + 24. Calculate i(-12). -24 Let q(j) = -2*j**3 - 7*j**2 - j + 32. Give q(-2). 22 Let f(b) = 5*b**3 - 492*b**2 - 800*b + 6. Give f(100). 6 Let x(v) = -5*v**2 - 202*v - 230. What is x(-39)? 43 Let r(x) = -597*x + 1283. Calculate r(2). 89 Let k(s) = s**2 - 1909*s + 7. What is k(0)? 7 Let w(a) = 4*a**3 - 49*a**2 - 41*a + 645. Give w(12). 9 Let t(f) = -4*f**2 + 111*f + 68. Determine t(28). 40 Let b(k) = 14*k**3 - 268*k**2 + 38*k + 1. What is b(19)? 1 Let z(s) = 5*s**2 - 94*s - 8. Calculate z(20). 112 Let c(x) = -123*x + 24113. What is c(196)? 5 Let p(f) = 99*f + 148. Calculate p(-2). -50 Let z(o) = 6*o**3 + 49*o**2 + 28*o + 143. Determine z(-8). -17 Let l(y) = 2*y**3 - 87*y**2 - 42*y - 65. Give l(44). 23 Let h(v) = 3*v**2 - 246*v - 755. Determine h(85). 10 Let f(c) = 300*c + 3327. Give f(-10). 327 Let l(w) = 6*w + 85. Determine l(-8). 37 Let q(c) = c**3 - 29*c**2 - 99*c + 36. Give q(32). -60 Let g(r) = -3*r**2 + 127*r - 184. What is g(38)? 310 Let y(w) = -4*w**3 - 200*w**2 - 2*w - 63. Calculate y(-50). 37 Let g(k) = -6*k**2 - 102*k + 117. What is g(-18)? 9 Let h(r) = 47*r + 178. What is h(10)? 648 Let w(v) = -162*v - 2604. Give w(-16). -12 Let v(o) = 57*o**2 + 125*o - 254. Calculate v(2). 224 Let q(f) = -553*f + 2255. What is q(4)? 43 Let j(m) = -5*m**3 + 14*m**2 - 28*m + 26. Calculate j(2). -14 Let d(u) = 3*u**2 + 227*u + 68. Calculate d(-75). -82 Let d(r) = -23*r**2 - 68*r - 5. What is d(-3)? -8 Let u(n) = 2*n**2 + 16*n + 23. Give u(-11). 89 Let q(b) = -4755*b - 4770. What is q(-1)? -15 Let s(u) = 41*u**2 + 104*u - 61. Give s(-3). -4 Let l(y) = 46*y + 128. Give l(-3). -10 Let r(a) = -a**3 - 17*a**2 + 8*a - 12. What is r(-18)? 168 Let i(n) = -n**2 + 32*n + 224. Calculate i(40). -96 Let a(f) = -256*f - 51713. Give a(-202). -1 Let x(z) = 100*z - 15327. Determine x(154). 73 Let n(m) = -10*m**3 + 250*m**2 + m - 24. Give n(25). 1 Let w(i) = 4*i**2 + 38*i + 20. Give w(-9). 2 Let k(u) = 136*u - 2705. Give k(20). 15 Let z(j) = 53*j - 50. Calculate z(1). 3 Let r(n) = -30*n - 451. Calculate r(-17). 59 Let i(l) = -66*l - 11. Calculate i(0). -11 Let y(w) = 3*w**3 - 33*w**2 - 6*w + 94. Give y(11). 28 Let s(w) = -4*w**2 - 1024*w + 2046. Give s(2). -18 Let r(i) = -173*i - 1746. Determine r(-10). -16 Let a(h) = -h**3 - 3*h**2 + 2*h + 15. Calculate a(-2). 7 Let g(d) = -220*d + 1763. Give g(8). 3 Let n(h) = -56*h - 1072. Determine n(-18). -64 Let z(l) = -l**2 - 7*l - 41. Give z(-5). -31 Let w(l) = -37*l - 400. Calculate w(-11). 7 Let t(x) = -2*x**3 + 46*x**2 + 247*x + 123. What is t(-4)? -1 Let t(m) = -654*m + 1331. Give t(2). 23 Let c(f) = -f**3 - 11*f**2 - 4*f + 61. Calculate c(-10). 1 Let w(m) = 536*m + 34831. Calculate w(-65). -9 Let x(a) = -a**2 - a + 472. Determine x(31). -520 Let y(a) = -a**3 - 43*a**2 + 211*a + 3361. What is y(-46)? 3 Let a(t) = 66*t - 656. What is a(10)? 4 Let h(v) = 60*v - 382. Give h(10). 218 Let a(f) = f**2 - 20*f + 98. What is a(19)? 79 Let m(r) = 65*r + 253. What is m(-4)? -7 Let a(u) = 75*u + 6376. Give a(-83). 151 Let q(w) = -1893*w - 30281. Determine q(-16). 7 Let p(w) = -w**2 - 24*w - 53. Calculate p(-7). 66 Let a(z) = 96*z + 468. Calculate a(-5). -12 Let s(x) = -132*x - 1129. What is s(-9)? 59 Let z(n) = n**2 - 38*n + 35. Calculate z(39). 74 Let i(u) = 3*u**2 - 27*u + 16. Determine i(8). -8 Let p(o) = -2*o**3 + 16*o**2 + 17*o - 9. Give p(9). -18 Let j(t) = -2*t**2 + 88*t + 379. Determine j(-4). -5 Let m(q) = -q**3 + 19*q**2 - 73*q + 192. What is m(15)? -3 Let v(l) = l**3 + 9*l**2 - 20*l - 18. What is v(-10)? 82 Let o(z) = z**3 - 6*z**2 + 5*z + 1. What is o(4)? -11 Let j(f) = -f**3 + 5*f**2 + 321*f - 1297. What is j(4)? 3 Let f(t) = -100*t - 727. Determine f(-7). -27 Let x(b) = 2*b**3 + 13*b**2 + 33*b + 24. Determine x(-6). -138 Let m(y) = 2*y**3 - 15*y**2 - 19*y + 109. Calculate m(8). 21 Let x(r) = -3*r**3 + 4
{ "pile_set_name": "DM Mathematics" }
e remainder when 1179564 is divided by 26208. 204 What is the remainder when 209352 is divided by 2912? 2600 What is the remainder when 10971239 is divided by 609501? 221 Calculate the remainder when 14564859 is divided by 3885. 3879 Calculate the remainder when 104745 is divided by 379. 141 What is the remainder when 2250606 is divided by 125033? 12 Calculate the remainder when 6743416 is divided by 1847. 19 Calculate the remainder when 3414167 is divided by 148441. 24 What is the remainder when 44580 is divided by 3516? 2388 Calculate the remainder when 26152754 is divided by 154750. 4 Calculate the remainder when 2824681 is divided by 23539. 1 Calculate the remainder when 72061 is divided by 1717. 1664 What is the remainder when 1967012 is divided by 6325? 6262 Calculate the remainder when 49737 is divided by 1987. 62 What is the remainder when 1493682 is divided by 42675? 57 Calculate the remainder when 2940 is divided by 2779. 161 What is the remainder when 5329786 is divided by 1766? 1764 What is the remainder when 2485861 is divided by 621423? 169 Calculate the remainder when 10276716 is divided by 1597. 21 Calculate the remainder when 3163905 is divided by 229. 41 What is the remainder when 51195879 is divided by 265? 264 Calculate the remainder when 24530 is divided by 996. 626 Calculate the remainder when 2284906 is divided by 23801. 10 Calculate the remainder when 2741383 is divided by 1370681. 21 Calculate the remainder when 601092 is divided by 420. 72 Calculate the remainder when 21691437 is divided by 21691411. 26 Calculate the remainder when 11244 is divided by 11198. 46 Calculate the remainder when 22622093 is divided by 1098. 1097 Calculate the remainder when 35281673 is divided by 7056305. 148 What is the remainder when 6792284 is divided by 1219? 16 Calculate the remainder when 57860 is divided by 28767. 326 Calculate the remainder when 421116042 is divided by 18. 12 Calculate the remainder when 1823002 is divided by 1822980. 22 What is the remainder when 1840063 is divided by 1305? 13 What is the remainder when 37758 is divided by 330? 138 What is the remainder when 941014 is divided by 15177? 40 Calculate the remainder when 7199099 is divided by 855. 854 Calculate the remainder when 574082422 is divided by 2909. 2908 Calculate the remainder when 639008 is divided by 638931. 77 Calculate the remainder when 105077021 is divided by 95. 86 What is the remainder when 95271885 is divided by 588? 9 What is the remainder when 1053062 is divided by 8101? 8033 Calculate the remainder when 188210 is divided by 26887. 1 What is the remainder when 2669521 is divided by 258? 253 Calculate the remainder when 899320 is divided by 449596. 128 What is the remainder when 10632832 is divided by 664552? 0 What is the remainder when 2881877 is divided by 8577? 5 Calculate the remainder when 3440707 is divided by 1393. 1390 Calculate the remainder when 111142 is divided by 1501. 68 What is the remainder when 7720509 is divided by 3571? 7 Calculate the remainder when 2891197 is divided by 22946. 1 Calculate the remainder when 649525 is divided by 129903. 10 Calculate the remainder when 9162710 is divided by 4. 2 What is the remainder when 728362 is divided by 45477? 730 What is the remainder when 14872995 is divided by 5? 0 Calculate the remainder when 626276 is divided by 941. 511 Calculate the remainder when 73796775 is divided by 283. 280 What is the remainder when 80901126 is divided by 8? 6 Calculate the remainder when 60722 is divided by 3582. 3410 What is the remainder when 25295327 is divided by 6? 5 Calculate the remainder when 52267325 is divided by 8711218. 17 What is the remainder when 30749124 is divided by 4586? 4580 What is the remainder when 9764 is divided by 9115? 649 What is the remainder when 165820 is divided by 82735? 350 Calculate the remainder when 30568 is divided by 5770. 1718 What is the remainder when 9543639 is divided by 142442? 25 Calculate the remainder when 1906 is divided by 151. 94 What is the remainder when 52714 is divided by 5621? 2125 Calculate the remainder when 991115 is divided by 36. 35 Calculate the remainder when 1076897 is divided by 179482. 5 What is the remainder when 692803808 is divided by 2830? 2828 What is the remainder when 6727242 is divided by 79140? 342 Calculate the remainder when 1595893 is divided by 473. 464 What is the remainder when 104934 is divided by 1177? 181 Calculate the remainder when 6022686 is divided by 1134. 12 Calculate the remainder when 28003 is divided by 13921. 161 What is the remainder when 205309055 is divided by 257? 236 Calculate the remainder when 194276 is divided by 97123. 30 What is the remainder when 127436 is divided by 29434? 9700 Calculate the remainder when 569255 is divided by 3113. 2689 What is the remainder when 35542 is divided by 28? 10 What is the remainder when 11280881 is divided by 8? 1 Calculate the remainder when 3217325 is divided by 1761. 1739 Calculate the remainder when 144957 is divided by 9048. 189 Calculate the remainder when 143201 is divided by 484. 421 What is the remainder when 252513 is divided by 13225? 1238 Calculate the remainder when 1240948 is divided by 759. 742 Calculate the remainder when 4724053 is divided by 371. 110 Calculate the remainder when 281630 is divided by 93831. 137 What is the remainder when 6478009 is divided by 26? 5 What is the remainder when 8649805 is divided by 2162410? 165 Calculate the remainder when 1514462 is divided by 252410. 2 Calculate the remainder when 44718 is divided by 3711. 186 Calculate the remainder when 40837 is divided by 1415. 1217 Calculate the remainder when 10725959 is divided by 731. 727 What is the remainder when 69138 is divided by 11495? 168 What is the remainder when 4948754 is divided by 274924? 122 Calculate the remainder when 7920221 is divided by 254. 247 Calculate the remainder when 2395957 is divided by 429. 421 What is the remainder when 13768070 is divided by 202471? 42 Calculate the remainder when 864930757 is divided by 2312. 2309 Calculate the remainder when 3051481 is divided by 487. 426 Calculate the remainder when 32841895 is divided by 261. 4 Calculate the remainder when 5448771 is divided by 89. 13 Calculate the remainder when 341777 is divided by 134. 77 What is the remainder when 2095536 is divided by 1414? 1402 What is the remainder when 1673512 is divided by 107? 32 Calculate the remainder when 81941803 is divided by 434. 433 Calculate the remainder when 833848 is divided by 43. 35 What is the remainder when 16204817 is divided by 183? 167 What is the remainder when 86238488 is divided by 114? 110 Calculate the remainder when 68897072 is divided by 1043895. 2 What is the remainder when 58290693 is divided by 1078? 1077 Calculate the remainder when 3894716 is divided by 919. 913 What is the remainder when 203662 is divided by 149? 128 Calculate the remainder when 18459634 is divided by 156. 154 What is the remainder when 325255 is divided by 108376? 127 Calculate the remainder when 672301 is divided by 2287. 2210 Calculate the remainder when 8680765 is divided by 11. 5 What is the remainder when 105717 is divided by 2625? 717 What is the remainder when 87384 is divided by 3617? 576 What is the remainder when 374861 is divided by 184802? 5257 Calculate the remainder when 2778465 is divided by 823. 17 Calculate the remainder when 50408 is divided by 7947. 2726 Calculate the remainder when 3140240 is divided by 628047. 5 What is the remainder when 154947279 is divided by 123? 120 Calculate the remainder when 423174 is divided by 22198. 1412 What is the remainder when 79479 is divided by 13053? 1161 What is the remainder when 506753923 is divided by 57? 40 Calculate the remainder when 871843 is divided by 263. 261 Calculate the remainder when 16042213 is divided by 79. 78 What is the remainder when 136265 is divided by 12021? 4034 Calculate the remainder when 13564785 is divided by 1884. 1869 What is the remainder when 73753433 is divided by 177? 11 Calculate the remainder when 38585 is divided by 2962. 79 What is the remainder when 2368804 is divided by 22? 20 Calculate the remainder when 96956031 is divided by 735. 711 Calculate the remainder when 3567158 is
{ "pile_set_name": "DM Mathematics" }
se -28*u + 553 + 483 = g. Solve -u*l + 35*l - 10 = 0 for l. -5 Let w(a) = -2*a - 6. Suppose 0 = -2*s - 10 + 2. Let v be w(s). Suppose -4*l + 40 = -2*k, -5*l + 6*l - k - 10 = 0. Solve -l = 3*u + v*u for u. -2 Let s be (-6 - (-2010)/75)/((-8)/(-20)). Solve s*g - 30 = 47*g for g. 6 Suppose -3*s + 5*x - 37 = -7*s, 3*x = -s + 11. Solve 4 = s*o - 6*o for o. 2 Suppose 28*s + 268 = -40. Let o(r) = 2*r**2 + 22*r + 5. Let j be o(s). Solve 5*q = j - 0 for q. 1 Let o = -84 + 4. Let l = 196 + -281. Let d = o - l. Solve 0 = d*n - 3*n + 10 for n. -5 Let j(q) = -3*q**3 + 315*q**2 - 3*q + 323. Let v be j(105). Solve 74 = v*f + 34 for f. 5 Suppose 0 = 2*a + 3*a - 50. Let c(b) = -8*b + 4. Let l be c(-2). Suppose 2*h - 5 = t, 7*t - 11*t + l = 2*h. Solve h*s + 2 = a for s. 2 Let j(w) = -w**3 - 10*w**2 + 13*w + 25. Let u be j(-11). Let m(p) = -p**2 - 10*p - 18. Suppose 2 = 5*s + 17. Let y be m(s). Solve u = y*h - 4*h for h. -3 Suppose -395 = 7*j - 12*j. Let v = j + -74. Solve 5*b = 4*b - v for b. -5 Let k(y) be the second derivative of y**4/12 - 5*y**3/3 + 12*y**2 + 29*y + 2. Let r be k(7). Let u be 3 + -3 + 4 - -4. Solve 0 = -r*c + c + u for c. 4 Let s(n) = -n**2 + 19*n + 5. Let f be s(19). Suppose -f*r - 6 = r. Let l be (1/(-3))/(r*(-2)/(-18)). Solve l*w = -w - 20 for w. -5 Suppose -5*p = -27*p + 22. Suppose -5*v = -2*v - a - 7, 3*v = -5*a + p. Solve v*s = -5 - 1 for s. -3 Suppose -5048 = -152*p + 10608. Solve p*r = 113*r + 10 for r. -1 Let l(n) = 11*n**2 + 106*n + 164. Let q(b) = 6*b**2 + 53*b + 83. Let o(x) = -4*l(x) + 7*q(x). Let t be o(-25). Solve 3*z + 18 - 6 = t for z. -4 Let i = 64 - 62. Suppose l - 4*t = 1, 5*l + t = -i*t + 5. Solve -2*x + x = -l for x. 1 Suppose 47*n + 10*n = 1539. Solve 14*w - n*w + 65 = 0 for w. 5 Let o(j) = 28*j + 83. Let u be o(8). Suppose -16*c + 333 + u = 0. Solve 5*m = -3*m - c for m. -5 Let t(b) = -10*b - 40. Let i be t(-4). Suppose -7*w + 6*w + 3 = i. Solve k + w = -1 for k. -4 Suppose -22 = -9*i + 50. Suppose -i*c + 16*c - 24 = 0. Solve 8*h = c*h for h. 0 Let t = -43 + 49. Suppose -5*r = 2*v - 17, -5*r - t*v + 13 = -3*v. Solve r*o - o = 0 for o. 0 Suppose 2 = -2*u + 2*g + 4, -g = -4*u + 16. Suppose -3*o - 3*q = 3, -u*q + 2 + 1 = -3*o. Let j be (o/(-3))/((-3)/(-63)). Solve -3 + j = 4*m for m. 1 Suppose 19*d + 16*d = 37*d - 392. Solve g = -48*g + d for g. 4 Suppose 0 = 5*d + z - 78, -3*d = -0*z - z - 50. Suppose -14068 = 51*x - 14833. Solve -d*u = -x*u + 4 for u. -4 Suppose 19*f - 8 = -4*k + 17*f, 3*k = f + 26. Solve 11 + k = -17*z for z. -1 Suppose b + 153 - 152 = 0. Suppose -15 = -w - 3*n, w - 2*n = -n + 3. Let p be -2 + w - 7 - 3/b. Solve -4*h + 1 + 7 = p for h. 2 Let h(p) = p**2 + 116*p + 1764. Let i be h(-98). Solve i*u = 2*u - 28*u for u. 0 Let w = 2471 - 2453. Solve 17 = 7*u - w for u. 5 Let g be 1/(2/(-4) - -1). Suppose 2*v - 4*j + g = j, 0 = -3*v - 4*j + 20. Suppose -y - 21 = -4*p, v*p - 19 = 2*y - 3*y. Solve -3 = p*q - 2*q for q. -1 Let a(l) = -l**2 + 4*l - 17 + 10 + 9*l - 20. Let i be a(10). Solve i = -3*m + 6 for m. 1 Suppose 597*k - 596*k + 2*f - 35 = 0, -5*f = -3*k + 105. Solve k*z + 148 = -132 for z. -8 Suppose 3*t - 4*t = c - 6, 2*c - 21 = -5*t. Solve 29*s + 55 = -t for s. -2 Let w(q) = 3*q - 46 - 16 - 413*q**2 + 390*q**2 + q**3. Let r be w(23). Solve 10*s - r*s = -15 for s. -5 Let r be (48/18 - 2)*438. Let u = -290 + r. Solve -u*n = -7 - 3 for n. 5 Let w(f) = -4*f - 3. Let v be w(-2). Suppose 4*u + 4*l - 13 = -v, 0 = 3*u - 5*l - 22. Solve u = g - 0*g for g. 4 Suppose -2*u + q = 5*q + 2, -5*q = -5*u + 70. Let h = -195 - -195. Suppose h = 5*t + 4*n - 9, -4*t + 30 = -5*n - 10. Solve t*p = 2*p + u for p. 3 Suppose z + 1334 = -a, 0 = 5*z + 4*a + 3104 + 3569. Let d be (-32)/(-240) + z/15. Let w = -89 - d. Solve 4*i - 9 + 1 = w for i. 2 Let j(f) = f**2 + 30*f + 38. Let q be j(-17). Let s be q/(-2) + (-4)/(4 + -12). Let a = s + -86. Solve 4*l - a = -10 for l. -1 Let q be 16 - (-12 + 150/(-25)). Solve 0 = q*b - 24 - 10 for b. 1 Suppose 145 = 5*w - 5*l, 4*l - 43 + 186 = 5*w. Suppose -2*g + w = 4*k - g, k - 28 = 4*g. Solve -14*u + 12*u = k for u. -4 Suppose 0 = -2*m - m. Suppose 5*r - 3*b = 6, 2*r - 24 = -14*b + 8*b. Solve m = -3*d + 6 + r for d. 3 Let v(i) = i**2 - 4*i - 16. Let l = 236 - 229. Let t be v(l). Solve 3 = t*n - 2*n for n. 1 Suppose 3*d - 18 = 3*q, -24 = -4*d + 3*q - 4*q. Let c be 10/d + -9*80/(-216). Solve r - 2 + c = 0 for r. -3 Let l be ((-5)/(-1)*1)/1. Suppose 58 = -22*s + 51*s. Suppose -l*v - 7*q = -3*q + 5, -2*v + 16 = -s*q. Solve 11 - v = 4*g for g. 2 Let i = 60 - 44. Suppose i = 4*p - l, 0 = -p + 3*p + 5*l + 14. Solve 0 = 3*f - 6 - p for f. 3 Suppose f = -2 - 52. Let j = 41 + f. Let k = j + 21. Solve -3*w - k = -w for w. -4 Suppose -2*c + 127 = 3*c + 4*v, c = 3*v + 14. Solve -17*b - 18 = -c*b for b. 3 Suppose 3*y + 18 = m, 3*m - y + 5*y + 11 = 0. Suppose 4 = v + o + m, v - 21 = 4*o. Suppose -q + 31 = -v*f, -2*q + 4*f = 1 - 45. Solve 5*z = z - q for z. -4 Let t(p) = 232*p + 4420. Let v be t(-19). Solve 61 - 49 = -v*n for n. -1 Suppose -4*l + 24 = -2*l. Suppose -11*u - l = -15*u. Let w be (-2 + -1)*(u + (-52)/12). Solve -w = 4*h - 0 for h. -1 Suppose -x + 6*c - 4*c - 1 = 0, -x + 4*c = 7. Suppose -x*z + 4*f + 5 = 0, -5 = -14*z + 17*z - 4*f. Solve -3*s - z + 20 = 0 for s. 5 Suppose -27*u = -33165 + 31383. Solve -27*d + u - 228 = 0 for d. -6 Let q(k) = -k + 7. Let p be q(5). Suppose m + p = 2*w + 58, 3*w = -5*m - 58. Let c = w + 28. Solve 1 = -j + c*j for j. 1 Let d(l) = -l - 11. Let u be d(-11). Let z = 374 - -95. Suppose 0 = 5*t + 454 - z. Solve 6 = -u*j + t*j for j. 2 Suppose -5*d - 7 = -d - 3*y, 2*d + 4*y - 24 = 0. Suppose h - d = -7. Let l(k) = -3*k - 10. Let x be l(h). Solve 1 - x = -i for i. 4 Let l = 789 - 1365. Let j = -564 - l. Solve 2*s + j = 2 for s. -5 Let g(v) = -2*v**3 - 4*v**2 - 2*v + 8. Let b be g(-4). Let y = -68 + b. Solve 0 = -4*n - 8 - y for n. -5 Let j = 5713 - 5688. Solve -j*z - 62 + 262 = 0 for z. 8 Let j = 63 + -45. Suppose 2*x = 2*s + 6, j = 2*x + s + 6. Suppose -2*o = -c + x, 0 = 2*o - 4*o - 4*c + 20. Solve 2*k = -o*k for k. 0 Suppose 328*l = 366*l - 266. Solve 0*m - l*m = -4*m for m. 0 Suppose j + 5*t = 190, -3*t - 328 = 244*j - 246*j. Solve 166*o - j*o = -16 for o. 4 Let w = 791 + -395. Let y = -394 + w. Solve 1 = y*j + 9 for j. -4 Let t(b) = -61*b - 317. Let v be t(-9). Suppose -50*i + v = -21*i. Solve -c - i = -9 for c. 1 Let o = 1371 + -1208. Solve 18*f - 91 + o = 0 for f. -4 Let j = -104 - 32. Let y = j + 148. Suppose -9*g = -y*g. Solve g = -4*h - 9 - 7 for h. -4 Let i(w) = -w**3 + 14*w**2 + 16*w - 22. Let h be i(15). Let r be (-36)/h - (-8)/(-56). Let o = -426 + 440. Solve r*j - o = 6 for j. 4 Suppose 3*y - 12 = 6*y. Let m be 2 + ((-4)/(-3))/(y/(-3)). Suppose 0 = 8*k - m*k - 10. Solve -k*z + 4 = -3*z for z. -4 Let i = 597 + -586. Let c = 196 - 192. Solve -c*g - i = -3 for g. -2 Let t be (-18)/3 - (-560)/56. Solve 2*g = -t*g - 30 for g. -5 Let w = -114 + 129. Suppose -w*r - 3*r + 450 = 0. Solve 12*t - 7*t = r for t. 5 Let l = 10461 - 10447. Solve 22 = -4*f + l for f. -2 Let u be ((-1)/(-3))/((-40)/(-150))*68. Suppose 0 = -24*a + 7*a + u. Suppose -5*r + 0*s = 3*s - 13, -2*r + 3 = -s. Solve -a*n + r = -3 for n. 1 Let i(d) = -6*d + 56. Let m be i(9). Let w be (58 + -57)/(m/10). Solve w*k - 19 = -4 for k. 3 Suppose 52 = 2*k + 3*z - z, -3*z + 122 = 5*k. Let m be (16 - 17)/(-2 - k/(-12)). Solve -10*s = -m*s - 8 for s. 2 Suppose -3*a + 5*n + 558 = 0, n - 300 - 602 = -5*a. Solve 179*d - 2 = a*d for d. -1 Let c(h) = 3*h - 4. Let v be c(3). Let r be 186/31*((-1)/(-7) + 35/98). Solve r*o - 7 = v for o. 4 Let z = 307 + 167. Let t = z - 454. Solve 25*l - t*l = -20 for l. -4 Suppose 176*n = 134*n + 3150. Solve 69*i - 42 = n*i for i. -7 Suppose -263*y = -265*y. Solve y = 6*q + 10 + 26 for q. -6 Let b = 17149 - 17084. Solve 0 = -9*l + 74 - b for l. 1 Let u(n) be the first derivative of 13*n**2/2 - 156*n + 90. Let a be u(12). Solve -8*o + 9 + 15 = a for o. 3 Suppose 9*k - 12 = 3*k. Let v be 45/9 + 10/((-30)/9). Solve -4*r - v = -k*r for r. -1 Suppose 3*u - 2 - 4 = 0. Suppose u*v - k - 17 = -2*v, 3*v - 8 = -4*k. Solve 0 = -j + v for j. 4 Suppose -7*h + 1 - 1 = 0. Let w be -11*(-5 + h)/5. Solve 8*z - w*z = -12 for z. 4 Suppose -22 = -18*x + 32. Suppose 0 = -3*v - x*v + 24. Solve 9 = v*a -
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from uruuffuttxuuf. 1/39 Three letters picked without replacement from {o: 3, w: 10, m: 5, h: 1, y: 1}. What is prob of picking 1 y, 1 o, and 1 w? 1/38 Two letters picked without replacement from {s: 1, o: 1, h: 1, z: 1, f: 4}. Give prob of picking 2 f. 3/14 Calculate prob of picking 2 z and 2 u when four letters picked without replacement from zppppuupvvvzuplppz. 1/340 Calculate prob of picking 1 z, 1 e, and 1 h when three letters picked without replacement from {q: 4, l: 3, k: 4, z: 1, h: 7, e: 1}. 7/1140 Four letters picked without replacement from djjijddjuicujjii. Give prob of picking 1 u, 2 d, and 1 i. 6/455 What is prob of picking 1 l, 1 w, 1 e, and 1 h when four letters picked without replacement from {e: 5, h: 4, l: 1, w: 3}? 12/143 Two letters picked without replacement from oyooyyyhhhyhoyoyy. What is prob of picking 1 h and 1 y? 4/17 Four letters picked without replacement from dhwdwbhhghw. What is prob of picking 1 b, 1 d, and 2 w? 1/55 Calculate prob of picking 2 h and 1 g when three letters picked without replacement from {h: 4, g: 2, b: 8}. 3/91 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {u: 5, f: 2, i: 1, m: 1, b: 7, j: 1}. 7/68 What is prob of picking 1 x and 1 u when two letters picked without replacement from {u: 2, x: 3, q: 2, o: 5, r: 6}? 2/51 Four letters picked without replacement from iezrrrqqqrner. What is prob of picking 1 r, 1 z, 1 e, and 1 n? 2/143 Calculate prob of picking 1 k and 1 y when two letters picked without replacement from ckgjyhy. 2/21 Calculate prob of picking 2 z and 1 g when three letters picked without replacement from {g: 7, z: 6}. 105/286 Four letters picked without replacement from iiiziiimzzzimllimmm. Give prob of picking 1 z and 3 m. 10/969 Three letters picked without replacement from {a: 2, m: 1, i: 4, f: 8, j: 1}. What is prob of picking 1 m, 1 j, and 1 f? 1/70 What is prob of picking 1 k and 1 e when two letters picked without replacement from kuuunanmmenunknneumu? 2/95 What is prob of picking 1 f and 1 d when two letters picked without replacement from hkfkkhhhkdhhhtkhhhkh? 1/190 Calculate prob of picking 1 f and 1 b when two letters picked without replacement from iabwfwwyyyyy. 1/66 Two letters picked without replacement from {m: 4, x: 2, u: 3}. Give prob of picking 2 x. 1/36 What is prob of picking 2 c, 1 n, and 1 w when four letters picked without replacement from wnnnnlddcc? 2/105 Three letters picked without replacement from hkdhkhkk. Give prob of picking 1 k, 1 h, and 1 d. 3/14 What is prob of picking 1 p and 2 y when three letters picked without replacement from pyhppryypppp? 21/220 Calculate prob of picking 1 i and 2 h when three letters picked without replacement from {h: 5, i: 9}. 45/182 What is prob of picking 2 c when two letters picked without replacement from wcwwc? 1/10 Four letters picked without replacement from {w: 17, q: 2}. What is prob of picking 1 q and 3 w? 20/57 Three letters picked without replacement from {q: 2, o: 1, n: 3, x: 1, j: 1, h: 3}. Give prob of picking 1 o and 2 n. 1/55 Four letters picked without replacement from buugugguugubu. What is prob of picking 1 g and 3 u? 28/143 Four letters picked without replacement from {b: 2, d: 3}. What is prob of picking 2 d and 2 b? 3/5 What is prob of picking 3 r and 1 h when four letters picked without replacement from hrrlrhh? 3/35 Two letters picked without replacement from ssssmsmsss. What is prob of picking 2 m? 1/45 Two letters picked without replacement from {w: 3, v: 1, g: 1, b: 1, n: 5}. Give prob of picking 1 g and 1 v. 1/55 Calculate prob of picking 3 g and 1 x when four letters picked without replacement from {x: 3, g: 4, c: 3, r: 1}. 2/55 Three letters picked without replacement from {i: 1, u: 1, c: 1, b: 4, k: 5, a: 1}. What is prob of picking 1 i, 1 c, and 1 b? 2/143 Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {n: 2, d: 2}. 1/2 What is prob of picking 1 f and 1 h when two letters picked without replacement from jofjfjhofj? 1/15 What is prob of picking 1 i and 1 q when two letters picked without replacement from {i: 1, j: 1, q: 4, s: 3, b: 2}? 4/55 Four letters picked without replacement from {e: 9, f: 5, s: 2}. What is prob of picking 1 e and 3 f? 9/182 Four letters picked without replacement from wwvwwwmwwtwmtw. Give prob of picking 1 t, 2 m, and 1 v. 2/1001 What is prob of picking 1 t and 1 d when two letters picked without replacement from zunnnnnzdcdtcdn? 1/35 What is prob of picking 2 a when two letters picked without replacement from jaajjfjjjfjfaa? 6/91 What is prob of picking 2 f, 1 y, and 1 e when four letters picked without replacement from {f: 1, o: 1, m: 1, y: 1, e: 1}? 0 Three letters picked without replacement from {y: 6, g: 1, e: 3, u: 1, c: 8}. What is prob of picking 1 u and 2 c? 28/969 Three letters picked without replacement from {p: 3, f: 17}. Give prob of picking 1 p and 2 f. 34/95 Calculate prob of picking 3 w when three letters picked without replacement from {g: 3, m: 2, q: 2, w: 3, b: 3}. 1/286 Calculate prob of picking 1 g and 1 k when two letters picked without replacement from kwngwuuuuugwg. 1/26 Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {s: 6, k: 1, e: 1, r: 3, b: 1}. 3/220 Calculate prob of picking 2 q when two letters picked without replacement from {p: 1, q: 4, v: 2}. 2/7 Three letters picked without replacement from duodffuofuuuudududuu. Give prob of picking 1 f and 2 o. 1/380 Two letters picked without replacement from {n: 7, x: 4}. Give prob of picking 2 x. 6/55 What is prob of picking 3 w and 1 d when four letters picked without replacement from wbbdwwwbkdbdb? 12/715 What is prob of picking 1 j and 1 z when two letters picked without replacement from {z: 3, p: 7, j: 3, v: 2}? 3/35 Three letters picked without replacement from whjjdhdjjkjjjjwtjjj. Give prob of picking 1 h, 1 d, and 1 w. 8/969 Three letters picked without replacement from nvnvnnv. What is prob of picking 2 n and 1 v? 18/35 Two letters picked without replacement from gvggvffgvggvvgdfvnnv. Give prob of picking 1 d and 1 v. 7/190 Three letters picked without replacement from {p: 17, v: 1, i: 1}. What is prob of picking 3 p? 40/57 What is prob of picking 2 k and 1 a when three letters picked without replacement from {k: 3, a: 3}? 9/20 Three letters picked without replacement from lpasl. What is prob of picking 1 p, 1 l, and 1 a? 1/5 What is prob of picking 3 l and 1 s when four letters picked without replacement from llwloslwolwl? 4/99 What is prob of picking 1 f and 2 y when three letters picked without replacement from {y: 2, f: 2}? 1/2 Two letters picked without replacement from {x: 7, b: 6}. Give prob of picking 1 x and 1 b. 7/13 Calculate prob of picking 3 h and 1 w when four letters picked without replacement from {w: 1, h: 14}. 4/15 Calculate prob of picking 2 y and 2 x when four letters picked without replacement from xykyyxyyxxy. 3/11 Two letters picked without replacement from kaikwmee. Give prob of picking 1 w and 1 i. 1/28 Two letters picked without replacement from rrnmmmnnmn. What is prob of picking 1 r and 1 m? 8/45 Calculate prob of picking 4 c when four letters picked without replacement from {k: 3, c: 7}. 1/6 What is prob of picking 1 t, 1 p, and 1 s when three letters picked without replacement from {s: 4, y: 3, p: 6, t: 6}? 48/323 Calculate prob of picking 2 g and 1 h when three letters picked without replacement from ghghrlhrgghhrgh. 12/91 What is prob of picking 1 c and 1 z when two letters picked without replacement from czlcnoln? 1/14 Two letters picked without replacement from {e: 9, i: 3, t: 4}. Give prob of picking 2 t. 1/20 Four letters picked without replacement from sccccsc. Give prob of picking 3 c and 1 s. 4/7 Four letters picked without replacement from sskzzzsshhshzsg. What is prob of picking 2 h, 1 s, and 1 g? 6/455 Calculate prob of picking 3 y and 1 i when four letters picked without replacement from yiiyyi. 1/5 Three letters picked without replacement from {l: 9, k: 5}. What is prob of picking 2 k and 1 l? 45/182 Calculate prob of picking 2 l when two letters picked without replacement from lllkqqqllqklkl
{ "pile_set_name": "DM Mathematics" }
(-6*(-4)/(-8))/((-195)/52). Determine c, given that 0*c**2 - 6/5*c + i + 2/5*c**3 = 0. -2, 1 Let j be 2/((-24)/(-9))*-4. Let r = 3 + j. Suppose k**2 + r*k**2 + 0 + 1 - 2*k = 0. Calculate k. 1 Let a be 166/63 + 12/(-42). Let l = 18/7 - a. Solve -l*s - 2/9*s**2 + 0 = 0 for s. -1, 0 Let q be 2 - (-3 + 51/12). Determine t, given that q*t**4 + 4*t + 7/2*t**3 + 23/4*t**2 + 1 = 0. -2, -1, -2/3 Factor 4 + 2*d**2 - 2*d**3 + 3*d - 6*d**2 - d. -2*(d - 1)*(d + 1)*(d + 2) Let x = -73 - -76. Let g(o) be the first derivative of -1/8*o**2 - 1/12*o**3 + x + 0*o. Suppose g(h) = 0. What is h? -1, 0 Let f = 7 - 5. Suppose 0*g - 12 = -5*g + i, 0 = g + i. Factor g*j**4 - 4*j**2 - f*j**3 - 2*j**2 + 4*j**2 + 2*j. 2*j*(j - 1)**2*(j + 1) Let m be (-35)/77*8/(-20). Factor 0 + 0*l**4 + 4/11*l**3 + 0*l**2 - m*l - 2/11*l**5. -2*l*(l - 1)**2*(l + 1)**2/11 Let r(o) be the first derivative of 9*o**4 - 11*o**3 + 0*o + 2 + 3*o**2 + 33/5*o**5 - 7*o**6. Solve r(q) = 0. -1, 0, 2/7, 1/2, 1 Let a(m) be the first derivative of m**4/18 + m**3/9 - m - 1. Let b(d) be the first derivative of a(d). Factor b(c). 2*c*(c + 1)/3 Let z(j) be the first derivative of -3 + 1/25*j**5 + 1/20*j**4 + 0*j + 0*j**3 + 0*j**2. Factor z(h). h**3*(h + 1)/5 Suppose -w = -5*w + 60. Suppose 0 = 2*d + 3*d - w. Factor 0*h**d - h**3 + 3*h**3 - 2*h. 2*h*(h - 1)*(h + 1) Let j(c) be the first derivative of 3/5*c**2 + 4/5*c - 2 - 2/3*c**3. Factor j(k). -2*(k - 1)*(5*k + 2)/5 Factor 0 + 7/2*c**4 + 3*c - 25/2*c**2 + 6*c**3. c*(c - 1)*(c + 3)*(7*c - 2)/2 Let z(l) be the second derivative of 1/3*l**3 + 0 + 0*l**4 - 2*l + 1/150*l**5 - 1/900*l**6 + 0*l**2. Let b(f) be the second derivative of z(f). Factor b(n). -2*n*(n - 2)/5 Let x be ((-1)/3)/(1/(-30)). Let u = 11 - x. Factor 0*s**2 + 0 + 3*s + 3 - u + s**2. (s + 1)*(s + 2) Suppose 4*h = 12*h - 16. Factor -8/3*z + 2/3*z**h + 8/3*z**3 - 2/3. 2*(z - 1)*(z + 1)*(4*z + 1)/3 Let w be -2 + 6/2 + 1. Let -4*l**4 - l + l + 4*l**2 + 2*l - w*l**5 = 0. What is l? -1, 0, 1 Let d(w) = -2*w - 10. Let c be d(-5). Factor 13*g + c*g**3 - 13*g + g**3. g**3 Let v be (-1)/((-2)/24) + 2. Let m be (-2)/(1 - (v - 3)). Let 0*u**2 + 0 + m*u**3 + 0*u + 2/5*u**4 + 1/5*u**5 = 0. What is u? -1, 0 Let p = -6 - -7. Let s(k) = -k**3 + k**2 - k + 1. Let b(c) = 2*c**2 - 4*c + 2. Let j(u) = p*b(u) - 2*s(u). Factor j(l). 2*l*(l - 1)*(l + 1) Suppose 4*i = -4*v - 0*v + 8, 5*i + 17 = 4*v. Factor 10*g**v + 2 - 3*g - 3*g**5 - 4*g**3 - 2. -3*g*(g - 1)**2*(g + 1)**2 Factor 0 - 13/5*n**4 + 11/5*n**3 + 2/5*n**2 + 0*n. -n**2*(n - 1)*(13*n + 2)/5 Let v(f) be the first derivative of 3*f**6/20 - f**5/10 - 2*f**4/3 + 4*f**3/3 + 2*f**2 - 3. Let x(y) be the second derivative of v(y). Solve x(h) = 0. -1, 2/3 Let d = -16 - -146/9. Suppose -2/9*b**5 - d*b**4 + 2/9*b**3 + 0*b + 0 + 2/9*b**2 = 0. Calculate b. -1, 0, 1 Let z(s) = -s**3 + 15*s**2 - 13*s - 16. Let y be z(14). Let o(q) = q**3 + 2*q**2 - q. Let h be o(y). What is b in 3/2*b**3 - 3/4*b**4 - 3*b + 9/4*b**h - 3 = 0? -1, 2 Factor 4/5*j - 4/5*j**3 + 4/5*j**2 - 4/5. -4*(j - 1)**2*(j + 1)/5 Let q(d) be the first derivative of 1/105*d**7 + 0*d + 0*d**6 + 0*d**4 + 2 + 0*d**5 + 0*d**3 - 1/2*d**2. Let a(j) be the second derivative of q(j). Factor a(i). 2*i**4 Let b(i) = -6*i**3 - i**2 + 1. Let o be b(-1). Let l(u) be the first derivative of 0*u - 1 - 6/5*u**5 - 8/3*u**3 + 0*u**2 + 3*u**4 + 1/6*u**o. Factor l(c). c**2*(c - 2)**3 Let u(y) be the third derivative of -y**5/80 + 5*y**4/16 - 25*y**3/8 + 13*y**2. Solve u(l) = 0 for l. 5 Let s(u) be the third derivative of 0 + 1/36*u**3 + 3*u**2 - 1/360*u**6 + 0*u - 1/36*u**4 + 1/72*u**5. Suppose s(x) = 0. What is x? 1/2, 1 Let l(v) be the second derivative of -v**5/140 + v**3/42 + 19*v. Solve l(z) = 0 for z. -1, 0, 1 Suppose -5*d = -4*y - d - 4, d = 5*y - 11. Solve -8*v**2 - 6*v + 5*v**5 + 4*v**4 - y*v**5 + 0*v**5 + 8*v - 4*v**3 + 4 = 0. -2, -1, 1 Suppose -4 = -q - i - 3, 2*i = 0. Suppose 2*j - q = -4*o + 3, -2*j + 6 = 5*o. Factor -4*p**3 - 3*p**5 - 2*p**5 + o*p + 4*p**5 + 3*p**5. 2*p*(p - 1)**2*(p + 1)**2 Let h be (-38)/171 - (-2)/9. Let k(u) be the third derivative of 0*u + 1/30*u**5 + 1/60*u**6 - 1/6*u**4 + h*u**3 + u**2 + 0. Solve k(b) = 0. -2, 0, 1 Suppose -2*j = l + l - 26, 2 = 2*j. Determine c, given that l*c**4 + 314*c**3 - 2*c + 2*c - 299*c**3 + 3*c**2 = 0. -1, -1/4, 0 Let d = -202 + 3637/18. Let v(c) be the first derivative of 1/6*c**2 + 0*c**5 + 2 - 1/6*c**4 + 0*c**3 + d*c**6 + 0*c. Let v(b) = 0. What is b? -1, 0, 1 Let d be (-9)/(-504)*108 + 6/(-4). Factor -d*q**2 + 15/7*q - 12/7. -3*(q - 4)*(q - 1)/7 Let c(o) = -144*o**5 - 60*o**4 + 72*o**3 - 9*o**2 + 3*o + 3. Let j(g) = -g**5 - g**4 - g**2 - g - 1. Let t(s) = c(s) + 3*j(s). Factor t(q). -3*q**2*(q + 1)*(7*q - 2)**2 Let c(x) be the second derivative of -1/9*x**2 + 0 + 4*x + 1/27*x**3 - 1/90*x**5 + 1/54*x**4. Let c(y) = 0. Calculate y. -1, 1 Let -3*u**3 - 3*u**2 + u**2 + 11*u**2 = 0. What is u? 0, 3 Factor -2*q**2 - 10 - 7*q**2 + 25*q - 6*q**2. -5*(q - 1)*(3*q - 2) Let y = -26 + 28. Find f, given that 2/3*f + 4/3*f**y + 2/3*f**3 + 0 = 0. -1, 0 Let r = -366 + 368. Determine j, given that 2/3 - 3*j**3 + 0*j - 17/6*j**r - 5/6*j**4 = 0. -2, -1, 2/5 Let z(b) be the third derivative of 0 + 2*b**2 + 3/20*b**5 + 1/40*b**6 + 0*b**3 + 0*b + 0*b**4. What is q in z(q) = 0? -3, 0 Suppose 2*t - 4*o + 14 = 0, 0*t - 4*t - 50 = 3*o. Let h be (t + 11)/(0 - -1). Factor 1/3*p**2 + 0 + h*p**3 + 0*p - 1/3*p**4. -p**2*(p - 1)*(p + 1)/3 Let x = -27 - -31. Let o(g) be the third derivative of 0 + 0*g + 0*g**x + g**2 - 1/3*g**3 + 1/30*g**5. Solve o(h) = 0 for h. -1, 1 Solve -10/13 + 12/13*s - 2/13*s**2 = 0. 1, 5 Suppose 3/2*r**5 + 9/2*r**4 + 0*r + 0*r**2 + 0 + 3*r**3 = 0. Calculate r. -2, -1, 0 Factor -2/5 - 9/10*c**3 - 21/10*c**2 - 8/5*c. -(c + 1)*(3*c + 2)**2/10 Let k(p) = -p**4 - p**3 + p**2 - p. Suppose -6*n = -n + 30. Let x(d) = -3*d**4 - 3*d**3 - 3*d**2 - 21*d - 6. Let a(m) = n*k(m) + x(m). Factor a(q). 3*(q - 2)*(q + 1)**3 Let g(p) = -54*p**5 + 51*p**4 + 52*p**3 - 55*p**2 - 7*p - 5. Let x(b) = -b**4 + b**2 - b - 1. Let k(z) = -2*g(z) + 18*x(z). Solve k(w) = 0. -1, -2/9, 1/3, 1 Let m(v) be the first derivative of -v**7/35 - v**6/15 - v**5/50 + v**4/30 + v + 7. Let n(q) be the first derivative of m(q). Factor n(d). -2*d**2*(d + 1)**2*(3*d - 1)/5 Let y(l) be the first derivative of l**6/720 - l**5/240 + 8*l**3/3 - 7. Let s(p) be the third derivative of y(p). Factor s(x). x*(x - 1)/2 Let l(h) be the third derivative of h**8/448 - h**7/56 + h**6/80 + 7*h**5/40 - 3*h**4/32 - 9*h**3/8 + 15*h**2. Suppose l(s) = 0. Calculate s. -1, 1, 3 Let v(o) be the third derivative of 10*o**7/21 - 17*o**6/3 + 349*o**5/15 - 34*o**4 + 24*o**3 + 12*o**2. Factor v(g). 4*(g - 3)**2*(5*g - 2)**2 Let b(t) = t**2 + t + 2. Let f be b(0). Factor f*m**2 + 5*m - 2 - 5*m. 2*(m - 1)*(m + 1) Let u = 19463 - 95441/5. Let w = 376 - u. Solve 4/5*s**5 - 2/5*s**2 + 2/5*s - w*s**3 + 0 + 2/5*s**4 = 0. -1, 0, 1/2, 1 Let s(n) be the second derivative of -n**7/98 - n**6/70 + 3*n**5/140 + n**4/28 + 8*n. Factor s(u). -3*u**2*(u - 1)*(u + 1)**2/7 Let l(n) be the second derivative of n**6/70 - n**4/28 + 8*n. Determine k, given that l(k) = 0. -1, 0, 1 Let k(x) be the third derivative of -x**6/480 + x**5/48 - x**4/32 - 3*x**3/8 - 31*x**2. Determine m so that k(m) = 0. -1, 3 Let s(r) = -r**2 - r + 3. Suppose 0 = -2*u + 6*u. Let v be s(u). Factor 1/4*a**v + 1/2*a**2 + 1/4*a + 0. a*(a + 1)**2/4 Let j(z) = -6*z**3 - 13*z**2 - 17*z - 1. Let d(m) = -18*m**3 - 40*m**2 - 50*m - 4. Let n(u) = 3*d(u) - 8*j(u). Factor n(h). -2*(h + 1)**2*(3*h + 2) Factor -17*p**2 + 10*p**4 - 9*p**4 + 12*p**3 - 5*p**4 + 4*p + 5*p**2. -4*p*(p - 1)**3 Suppose -3*o = -5*o + 4. Factor o + 44*r + 2 + 196*r**3 + 76*r**2 + 85*r**2. (4*r + 1)*(7*r + 2)**2 Factor 6*x**3 - 10*x**5 - 13*x**5 + 20*x**5 - 3*x. -3*x*(x - 1)**2*(x + 1)**2 Let s(k) = -31*k**2 - k. Let w be s(1). Let g = w - -133/4. Find t such that 5/2*t**3 + 5/4*t - 1/4 + 1/4*t**5 - 5/2*t**2 - g*t**4 = 0. 1 Let d(a) be the third derivative of -a**8/560 + a**7/280 - 2*a**3/3 - 2*a**2. Let s(h) be the first derivative of d(h). Find n, given that s(n) = 0. 0, 1 Suppose -5*h + 4*i - 10 = -i, 4 = -h + 2*i. Factor -2/7*s**3 + h + 0*s**2 + 2/7*s. -2*s*(s - 1)*(s + 1)/7 Let h be 1/45*(-21)/(-28). Let i(c) be the third deri
{ "pile_set_name": "DM Mathematics" }
4 What is the g'th term of 10924, 11042, 11162, 11284? g**2 + 115*g + 10808 What is the b'th term of -756529, -1513054, -2269581, -3026110, -3782641? -b**2 - 756522*b - 6 What is the g'th term of 111, -762, -2211, -4230, -6813, -9954, -13647? g**3 - 294*g**2 + 2*g + 402 What is the p'th term of -21947, -21489, -20723, -19649, -18267, -16577? 154*p**2 - 4*p - 22097 What is the m'th term of -51304095, -51304096, -51304097, -51304098, -51304099, -51304100? -m - 51304094 What is the y'th term of 120684, 120687, 120704, 120735, 120780, 120839, 120912? 7*y**2 - 18*y + 120695 What is the v'th term of -26, 1988, 5340, 10030? 669*v**2 + 7*v - 702 What is the z'th term of 76982, 151328, 225674, 300020, 374366, 448712? 74346*z + 2636 What is the d'th term of -18486, -36955, -55424, -73893, -92362? -18469*d - 17 What is the u'th term of -177303, -177455, -177601, -177741, -177875, -178003? 3*u**2 - 161*u - 177145 What is the p'th term of 749573, 1499146, 2248719, 2998292, 3747865? 749573*p What is the w'th term of 2593, 13395, 31405, 56629, 89073? w**3 + 3598*w**2 + w - 1007 What is the s'th term of 299745, 299699, 299653, 299607, 299561, 299515? -46*s + 299791 What is the w'th term of 8091, 62721, 210533, 498117, 972063? 7765*w**3 + w**2 + 272*w + 53 What is the f'th term of -280, -509, -844, -1285, -1832, -2485, -3244? -53*f**2 - 70*f - 157 What is the j'th term of 7308438, 7308304, 7308080, 7307766, 7307362, 7306868, 7306284? -45*j**2 + j + 7308482 What is the x'th term of 11403520, 45614085, 102631698, 182456359, 285088068, 410526825? 11403524*x**2 - 7*x + 3 What is the j'th term of 11128, 42435, 93908, 165547, 257352, 369323? 10083*j**2 + 1058*j - 13 What is the d'th term of 178350, 356778, 535214, 713664, 892134? d**3 - 2*d**2 + 178427*d - 76 What is the s'th term of -5763, -9146, -12529, -15912, -19295, -22678? -3383*s - 2380 What is the h'th term of 64109, 63949, 63789, 63629, 63469? -160*h + 64269 What is the d'th term of -31289, -62587, -93873, -125141, -156385, -187599, -218777, -249913? d**3 - 31305*d + 15 What is the w'th term of 7218, 15397, 23588, 31791? 6*w**2 + 8161*w - 949 What is the r'th term of 1679820, 1679800, 1679780, 1679760, 1679740, 1679720? -20*r + 1679840 What is the z'th term of 6946, -2134, -11216, -20300, -29386? -z**2 - 9077*z + 16024 What is the f'th term of -32432, -64861, -97262, -129623, -161932? 2*f**3 + 2*f**2 - 32449*f + 13 What is the q'th term of 1395285, 2790564, 4185843, 5581122, 6976401? 1395279*q + 6 What is the x'th term of -825, -1078, -1583, -2466, -3853? -21*x**3 - 106*x - 698 What is the h'th term of -8931, -17023, -30511, -49395, -73675? -2698*h**2 + 2*h - 6235 What is the x'th term of -10652, -22281, -34898, -48503, -63096, -78677, -95246? -494*x**2 - 10147*x - 11 What is the n'th term of -473648, -947302, -1420964, -1894634, -2368312? -4*n**2 - 473642*n - 2 What is the i'th term of 6342989, 12685982, 19028973, 25371962, 31714949? -i**2 + 6342996*i - 6 What is the i'th term of 6971601, 13943216, 20914831, 27886446? 6971615*i - 14 What is the c'th term of 946177, 946180, 946183, 946186, 946189? 3*c + 946174 What is the h'th term of -11024132, -22048297, -33072462, -44096627, -55120792, -66144957? -11024165*h + 33 What is the w'th term of 485026, 970160, 1455294, 1940428, 2425562? 485134*w - 108 What is the o'th term of -203552435, -203552436, -203552437, -203552438, -203552439, -203552440? -o - 203552434 What is the l'th term of -195667, -391327, -586985, -782641, -978295, -1173947? l**2 - 195663*l - 5 What is the z'th term of -2705, -18918, -62931, -148646, -289965, -500790, -795023? -2317*z**3 + 2*z**2 - 390 What is the g'th term of 237193, 236841, 236489, 236137? -352*g + 237545 What is the w'th term of -74554, -71877, -69200, -66523, -63846, -61169? 2677*w - 77231 What is the v'th term of -5089378, -10178748, -15268118, -20357488, -25446858? -5089370*v - 8 What is the w'th term of 74329, 74310, 74267, 74188, 74061, 73874? -2*w**3 - 5*w + 74336 What is the p'th term of -5830225, -11660491, -17490757, -23321023, -29151289? -5830266*p + 41 What is the z'th term of 4314328, 4314325, 4314322, 4314319, 4314316? -3*z + 4314331 What is the y'th term of 1662, 6291, 13884, 24441? 1482*y**2 + 183*y - 3 What is the t'th term of 3044024, 3043987, 3043950, 3043913, 3043876, 3043839? -37*t + 3044061 What is the v'th term of -44835, -44708, -44581? 127*v - 44962 What is the v'th term of 95032, 189975, 284904, 379813, 474696, 569547? -v**3 - v**2 + 94953*v + 81 What is the i'th term of -15755, -15134, -14513? 621*i - 16376 What is the w'th term of -58367, -58273, -58181, -58091, -58003, -57917, -57833? -w**2 + 97*w - 58463 What is the h'th term of -761047346, -761047347, -761047348, -761047349, -761047350, -761047351? -h - 761047345 What is the u'th term of 1020028, 2040063, 3060102, 4080145, 5100192, 6120243, 7140298? 2*u**2 + 1020029*u - 3 What is the k'th term of -8669652, -8669722, -8669792, -8669862, -8669932, -8670002? -70*k - 8669582 What is the y'th term of -149723, -299443, -449165, -598889? -y**2 - 149717*y - 5 What is the t'th term of 85645903, 171291801, 256937697, 342583591, 428229483, 513875373? -t**2 + 85645901*t + 3 What is the x'th term of 264554879, 264554882, 264554885, 264554888, 264554891? 3*x + 264554876 What is the g'th term of -13199166, -13199164, -13199162, -13199160, -13199158, -13199156? 2*g - 13199168 What is the b'th term of 39373872, 39373871, 39373870? -b + 39373873 What is the z'th term of -64616, -129604, -194970, -260720, -326860, -393396, -460334? -z**3 - 183*z**2 - 64432*z What is the i'th term of 4780524, 9561051, 14341578, 19122105? 4780527*i - 3 What is the a'th term of -226899244, -453798480, -680697716, -907596952, -1134496188? -226899236*a - 8 What is the z'th term of -12042383, -12042380, -12042377, -12042374, -12042371, -12042368? 3*z - 12042386 What is the v'th term of -6274, -23437, -51488, -90427, -140254, -200969? -5444*v**2 - 831*v + 1 What is the t'th term of -2453008, -19623999, -66230968, -156991903, -306624792? -2452998*t**3 - t**2 - 2*t - 7 What is the l'th term of -770467, -1540965, -2311463, -3081961, -3852459, -4622957? -770498*l + 31 What is the z'th term of 1402365, 1402418, 1402471, 1402524, 1402577, 1402630? 53*z + 1402312 What is the x'th term of -929379, -929393, -929419, -929457, -929507, -929569, -929643? -6*x**2 + 4*x - 929377 What is the v'th term of -7025, -13887, -20267, -25925, -30621, -34115, -36167, -36537? 40*v**3 + v**2 - 7145*v + 79 What is the t'th term of 7786, 7967, 8294, 8767? 73*t**2 - 38*t + 7751 What is the t'th term of -23350, -46322, -69306, -92302, -115310, -138330, -161362? -6*t**2 - 22954*t - 390 What is the z'th term of -7518, -14519, -20460, -24813, -27050, -26643, -23064, -15785? 88*z**3 + 2*z**2 - 7623*z + 15 What is the w'th term of 8406489, 16812979, 25219471, 33625965, 42032461, 50438959, 58845459? w**2 + 8406487*w + 1 What is the g'th term of -1034645, -4138582, -9311805, -16554314, -25866109, -37247190, -50697557? -1034643*g**2 - 8*g + 6 What is the a'th term of 34062, 35316, 36570, 37824? 1254*a + 32808 What is the l'th term of 65817408, 65817404, 65817398, 65817390, 65817380, 65817368, 65817354? -l**2 - l + 65817410 What is the u'th term of -980265, -980299, -980333, -980367? -34*u - 980231 What is the q'th term of 2233, 6242, 11995, 19492, 28733, 39718? 872*q**2 + 1393*q - 32 What is the c'th term of -16182, -16149, -16114, -16077, -16038? c**2 + 30*c - 16213 What is the h'th term of -1638777, -3277672, -4916567, -6555462, -8194357? -1638895*h + 118 What is the o'th term of 6269, 12849, 19743, 26951? 157*o**2 + 6109*o + 3 What is the y'th term of -4668, -4186, -3618, -2922, -2056? 7*y**3 + y**2 + 430*y - 5106 What is the k'th term of -1654, -1656, -1616, -1528, -1386, -1184, -916, -576? k**3 + 15*k**2 - 54*k - 1616 What is the c'th term of 966222, 966072, 965910, 965730, 965526? -c**3 - 143*c + 966366 What is the o'th term of 483771887, 483771886, 483771885? -o + 483771888 What is the m'th term of 16684, 18325, 19966, 21607? 1641*m + 15043 What is the j'th term of -8427, -13602, -18775, -23946? j**2 - 5178*j - 3250 What is the f'th term of -59120, -59154, -59190, -59228, -59268, -59310, -59354? -f**2 - 31*f - 5908
{ "pile_set_name": "DM Mathematics" }
c = 88 + x. Suppose 4*m - 3*m = -o + c, -3*m + 102 = -o. Is m a composite number? True Suppose l + 4*c = -2, -c = -5*l - 6*c + 5. Is (7/l)/((-1)/(-6)) prime? False Let n(u) = -u - 6. Let k be n(-6). Let d = k + 2. Suppose -2*p + 451 = 5*z, d*z = 4*p - p + 188. Is z prime? False Suppose 2945 = 2*f + 3*f. Suppose -3*l = -5*n - f, -2*n = 5*l - 0*l - 1023. Is l prime? False Let a(w) = 143*w + 2. Let l be a(1). Let j = l + -99. Is j a prime number? False Let o be -46*-7*(-2)/4. Let q = 318 + o. Is q prime? True Is ((-534)/(-4))/((-1)/(-2)) composite? True Let u(v) = -16*v + 18. Is u(-8) composite? True Let c = -10 + 17. Suppose 2*n + 115 = c*n. Is n composite? False Let o(r) = 2*r**3 - 7*r + 5. Let f be o(4). Let v = 127 - 53. Let z = f - v. Is z a composite number? False Suppose y - 4*n - 145 = 0, 216 = 5*y + 5*n - 584. Suppose -y = -2*f - 3. Is f a prime number? False Suppose -3*g + 32 + 4 = 0. Is 1055/20 + 3/g composite? False Let b = 36 + -21. Let o be (0 - 6)*10/b. Is (o - -2)*(-26)/4 prime? True Let r(y) = 10*y**2 + 6 - y - 3 - 2 + 2*y. Is r(-2) a prime number? False Suppose 5*c + 1657 = 3*s - 4563, s - 2045 = -4*c. Suppose 5*l + 0*l = s. Is l a composite number? True Is (-3 + (-221 - -3))*-1 prime? False Suppose -508 = -2*a + 870. Is a a composite number? True Suppose 2*w = 3 + 3. Suppose 4*c + 4*h = 236, -5*h - 55 + 240 = w*c. Is c a prime number? False Let f = -42 - -59. Let g = 4 + f. Is g a composite number? True Let b = 21 - 46. Let g = 58 + b. Suppose -x - 152 = -5*m - g, -m = 2*x - 15. Is m a composite number? False Suppose 12*r = 8*r + 1180. Is r prime? False Suppose 0 = c - 5*x - 1 + 18, -3 = 3*c - 3*x. Suppose -c*a = -3*q + 273, 0 = -4*a + 8*a + 8. Suppose 0*f - q = -f. Is f prime? True Let w = -7 - -2. Let a be 2/w - (-6)/(-10). Is 98 + (2 - 2) + a a prime number? True Let q = 11 + -6. Let m(p) = p**2 - 2*p + 5. Let g be m(q). Suppose 276 = -w + 4*w + 3*k, -g = -4*k. Is w a composite number? True Let q(g) = -g. Let t be q(-3). Suppose 0 = 5*h - 3*x - 0*x - 61, 2*h + t*x - 37 = 0. Let f = 25 - h. Is f prime? True Suppose 7*q = 5*q + 474. Suppose 5*x - q = 2*g + 102, 5*g - 57 = -x. Is x a composite number? False Let g be 163/(-2 - (-5 + 2)). Suppose 207 = 5*r - g. Is r prime? False Let r = -2 + 1. Let j be (-168 - -7)/(r/1). Let h = j - 96. Is h prime? False Suppose 0 = 6*x - x - 20. Suppose 377 = x*q + 117. Is q a composite number? True Is (-131)/2*(0 - 2) a composite number? False Let b be 6/9*(-2 - 1). Let a(n) = 37*n**2 + 1. Is a(b) a composite number? False Suppose 0 = -4*u - 5*n + 120, 5*u - n = -2*n + 171. Is (-1*3)/3 + u prime? False Let z be -4 + -3 + 2/1. Let l(j) = -10*j + 1. Let h(a) = -a + 1. Let c(d) = 6*h(d) + l(d). Is c(z) prime? False Let n(q) = -q - 4. Suppose 3*o - 2*o = -2. Let k be n(o). Is 33/(-12)*k*6 a prime number? False Let t = 51 - -110. Suppose 3*f = 2*l + t, -3*l = f - 0*f - 72. Is f prime? False Let p = 680 + -387. Is p a composite number? False Suppose 8 = 2*a + 2*w, -4*a + 20 = 3*w + 3. Suppose -2 = g + g, a*d = -g + 234. Is d a composite number? False Suppose 354 = 5*l - 4*a, l - 2*a + 6*a - 66 = 0. Suppose -3*u = -8*u + l. Is u a composite number? True Let a(v) be the first derivative of 2*v**3 + v**2 + v - 1. Let g = -3 + 0. Is a(g) a prime number? False Let v be 2/3 - 12/(-9). Suppose -2*y = -0*y - 2*p + 16, -5*y = p + 52. Is (-1 - 6)/(v/y) prime? False Let n(u) = -81*u - 13. Is n(-10) a prime number? True Suppose -j = -f - 2, 0 = -j - 3*j + f - 4. Let u be (1/3)/(j/(-18)). Suppose 176 + 31 = u*c. Is c a composite number? True Suppose 0 = -m + 8 - 3. Suppose -2*h + 367 = -2*q - 25, m*q + 25 = 0. Is h a composite number? False Suppose -w - p + 6 = 0, -w + 4*p = -0*w + 14. Let k(j) = 2*j**3 + 2*j**2 - 3*j + 3. Is k(w) prime? False Suppose h - 2*s - 1 - 7 = 0, -3*s + 14 = 5*h. Suppose -i = 4*o - 0*o + 3, -h*i - 12 = 3*o. Is 4/6*(i - -114) prime? False Let m(z) = z**3 + 13*z**2 - 16*z - 3. Is m(-13) composite? True Let p be 0*(8/(-6))/(-4). Suppose t - 5*c = 5, t = c - p*c + 17. Let b = 41 - t. Is b a composite number? True Suppose -2*o - 618 = -4*g, 3*g + 2*o = o + 476. Is g a prime number? True Suppose -2*l - f + 8 = 0, 3*f - 1 = l + 9. Suppose 0 = l*z - 5*p - 35, -2*z + p = -6*z + 15. Is (-6 + z)*(0 - 55) a composite number? True Suppose 0 = -h - 4*h + 20. Suppose 81 = z + h. Is 2/((-1)/z*-2) prime? False Let f(p) = 3*p - 6. Let y(g) = 2*g - 6. Let s(c) = -4*f(c) + 5*y(c). Let t be s(-5). Suppose 57 = t*k - 47. Is k composite? True Suppose -5*s = -3*p - 3980, -3*s - 2*p - 3*p + 2354 = 0. Is s composite? True Let t = -307 - -1214. Is t composite? False Suppose -5*t + i = -10 - 22, 4*t + 3*i - 37 = 0. Let k be 2/t + 8/(-28). Suppose 0 = -y - k*y + 97. Is y a composite number? False Let b(g) = 46*g**2 - 19*g - 7. Is b(8) a prime number? False Is (-1 + 2)*(-4 - (-5 - 1318)) a prime number? True Suppose -6*b - 83 = -377. Is b a prime number? False Let o(j) = -3*j + 4. Suppose -r - 2 = 7. Is o(r) a prime number? True Suppose h + 36 = 3*h. Is 7119/h - (-2)/(-4) prime? False Let u = 454 - -1231. Is u a composite number? True Suppose 0 = 12*g - 10*g - 3314. Is g a prime number? True Suppose 2378 = 5*f - 132. Is f composite? True Let m(h) = -h**3 - 12*h**2 + h. Let q be m(-12). Is (9 + q)*(-11)/1 a composite number? True Let g = -8 - -6. Let v(j) = 13*j**2 - 3*j - 3. Is v(g) a prime number? False Let s be (-4)/(-2) - (-2 - 1651). Suppose -6*q = -q - s. Is q a composite number? False Let p = -4 - -5. Let c be (-1)/1*p*-45. Suppose c + 150 = 3*n. Is n prime? False Suppose 5*x = 1122 + 2963. Is x prime? False Let s(q) be the third derivative of q**5/60 - 11*q**4/24 - 13*q**3/6 + 5*q**2. Is s(-9) prime? True Let w = -100 - -193. Is w composite? True Let a(m) = -m**3 + 16*m**2 + m - 17. Let t be a(16). Is (59 + t)/(5/5) prime? False Suppose -7*x + 16076 = 4897. Is x a prime number? True Let t be (-6 - -3 - -6) + -157. Let p = -9 - t. Is p a composite number? True Let y(u) = -u**3 + 4*u**2 - u - 3. Let n be 2/9 + (-16)/(-9). Suppose 0 = 4*m - n*m - x - 1, 25 = 5*x. Is y(m) prime? True Suppose -5*i + 1 = -2*p, -3*p + 12 = 2*i + 2*p. Let d(t) = -t**2 - i + 0*t - t**3 - 4*t - t. Is d(-4) a prime number? True Suppose 2*j + 3*m - 2*m - 10 = 0, -5*j = -2*m - 25. Suppose -j*w - 4*o = 10, 4*w - 28 = o + 3*o. Is w/8 + (-2485)/(-28) a prime number? True Let g(c) = 38*c - 17. Let k = 2 - -11. Let n(i) = 19*i - 8. Let v(r) = k*n(r) - 6*g(r). Is v(7) prime? True Suppose 1195 = 18*n - 17*n. Is n prime? False Let u(s) = -s + 1. Let m be u(1). Suppose w + 257 = r, -w + 1 = -m*w. Suppose 0 = a - c - 88, 0 = 3*a - 0*a - c - r. Is a a composite number? True Let w = 266 + -149. Suppose 2*n - w = -n. Suppose 0 = -4*a - n + 91. Is a prime? True Let k(t) = -t**3 + 9*t**2 - 9*t + 5. Is k(6) composite? False Suppose -5*c + 5*w + 310 + 80 = 0, 5*w - 226 = -3*c. Suppose -3*h - 4*s = -244, -2*h = -h - 3*s - c. Suppose -5 = 5*t - h. Is t prime? False Suppose -2*g - 2 + 8 = 0. Suppose -a + 85 = g*o, 5*o = 3*a - 239 - 44. Is a composite? True Suppose 2*k + 97 = -35. Is 2/11 - 846/k a composite number? False Let z = 3394 + -1851. Is z a composite number? False Suppose 0 = 3*y + h - 1897, 3*h = 5*y - 2*h - 3135. Is y a prime number? True Is (4558/(-6) + -1)/((-6)/9) prime? False Let s(t) = -6*t - 1. Let m be s(-6). Let g = -238 - -136. Is (-10)/m + g/(-14) a prime number? True Suppose -3*k + b = -11777 - 1466, 0 = -4*k - 2*b + 17664. Is k a prime number? False Suppose 0 = -18*k + 13*k + 4505. Is k composite? True Suppose 5*c - 477 = -2*n, -226 = -n + 2*c - 7*c. Is n a prime number? True Let i = -2 - -4. Is (0 - i) + 23 + 1 a prime number? False Suppose -4*p + p + 9486 = 3*j, p - 3164 = j. Is p a prime number? True Let p(y) = -y**2 - 10*y. Let k be p(-10). Let x(m) = -m. Let r be x(k). Suppose r = -4*s + 59 + 129. Is s prime? True Let y(u) = 205*u**2 + 5*u + 8. Is y(-2) a composite number? True Suppose 4*h + 20 = 0, 0*h = -4*w + 2*h + 34. Suppose -w = -v + 13. Is v prime? True Let i(c) = -33*c + 198. Let q(d) = -1. Let b(t) = i(t) + 198*q(t). Let j = -2 + 1. Is b(j) a prime number? False Let i be 138 + (-3 + 0 - -2). Suppose 4*f = i + 59. Is f composite? True Suppose -4*y - 2*n + 161 = -y, 3*y = -4*n + 157. Is y prime? False Let m(o) = -o**3
{ "pile_set_name": "DM Mathematics" }
lacement from xxaxaaaaxxxx. 35/99 What is prob of picking 3 l when three letters picked without replacement from loxxollo? 1/56 Calculate prob of picking 2 n and 1 b when three letters picked without replacement from {n: 2, u: 1, b: 1, r: 1}. 1/10 Calculate prob of picking 1 d and 1 u when two letters picked without replacement from uduuuduuuduu. 9/22 Two letters picked without replacement from ajzzgxzzgzzzcazxzx. Give prob of picking 1 j and 1 x. 1/51 What is prob of picking 2 r and 1 w when three letters picked without replacement from {r: 4, w: 7}? 14/55 Two letters picked without replacement from {t: 8, m: 3, d: 1, n: 2, w: 3, r: 1}. What is prob of picking 2 w? 1/51 Four letters picked without replacement from ciccceceeec. Give prob of picking 4 e. 1/330 What is prob of picking 2 p and 1 m when three letters picked without replacement from mpppmppmpmppmmpm? 9/20 Three letters picked without replacement from {x: 2, q: 3, m: 5, o: 5}. What is prob of picking 2 q and 1 x? 6/455 What is prob of picking 1 l and 2 p when three letters picked without replacement from {p: 10, l: 3, r: 2}? 27/91 What is prob of picking 3 s when three letters picked without replacement from {t: 1, k: 1, s: 3, i: 1, u: 1}? 1/35 Four letters picked without replacement from {p: 15, g: 3}. Give prob of picking 2 p and 2 g. 7/68 What is prob of picking 3 u when three letters picked without replacement from {u: 3, p: 8, x: 1, i: 3, q: 3}? 1/816 Calculate prob of picking 1 s, 2 w, and 1 j when four letters picked without replacement from jsshnjjwjjjnjjnwcj. 1/170 Two letters picked without replacement from dfifddiddinidbndndi. What is prob of picking 2 n? 1/57 What is prob of picking 2 e when two letters picked without replacement from {b: 12, e: 3}? 1/35 Two letters picked without replacement from {o: 4, t: 6, x: 1, h: 4, z: 3, j: 2}. Give prob of picking 2 h. 3/95 Calculate prob of picking 1 k, 1 t, and 1 h when three letters picked without replacement from {k: 8, p: 3, r: 1, h: 1, y: 2, t: 1}. 1/70 Calculate prob of picking 3 t when three letters picked without replacement from {i: 4, o: 3, r: 1, v: 1, t: 5, h: 3}. 1/68 Three letters picked without replacement from {r: 1, f: 1, d: 2, w: 2}. What is prob of picking 1 d, 1 r, and 1 w? 1/5 Calculate prob of picking 2 r when two letters picked without replacement from {y: 7, n: 2, r: 3}. 1/22 Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {r: 3, v: 5, q: 2}. 2/15 What is prob of picking 1 q and 1 c when two letters picked without replacement from {c: 6, q: 13}? 26/57 Calculate prob of picking 4 g when four letters picked without replacement from gtgggggggggtg. 6/13 Four letters picked without replacement from otttotttott. What is prob of picking 4 t? 7/33 Two letters picked without replacement from {b: 1, e: 1, g: 2, c: 2, a: 2}. Give prob of picking 1 a and 1 c. 1/7 Two letters picked without replacement from {x: 3, i: 2}. What is prob of picking 2 x? 3/10 Two letters picked without replacement from {y: 3, n: 1, l: 1, d: 7, o: 1}. Give prob of picking 1 l and 1 y. 1/26 What is prob of picking 2 u when two letters picked without replacement from jujjjjjjjjuj? 1/66 Calculate prob of picking 2 a, 1 n, and 1 u when four letters picked without replacement from {t: 1, u: 2, b: 4, e: 2, a: 4, n: 1}. 12/1001 Calculate prob of picking 2 s and 1 v when three letters picked without replacement from vgvvvgvvvgvsggvgvsv. 11/969 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {i: 1, u: 1, m: 1, d: 2}. 1/10 Calculate prob of picking 1 x, 1 i, and 1 w when three letters picked without replacement from wxiwiixisiiiisxx. 4/35 Four letters picked without replacement from llllllllll. What is prob of picking 4 l? 1 Two letters picked without replacement from rwippmrmcrp. Give prob of picking 1 w and 1 i. 1/55 Calculate prob of picking 3 c and 1 m when four letters picked without replacement from mmmcmmcmmmmmmmccmc. 13/306 What is prob of picking 3 v when three letters picked without replacement from jwjqqwwqvwvqqqvqw? 1/680 Three letters picked without replacement from {d: 13, b: 2, w: 2, v: 2, h: 1}. Give prob of picking 1 w and 2 d. 13/95 Two letters picked without replacement from {w: 1, a: 2, b: 1}. Give prob of picking 1 b and 1 w. 1/6 Three letters picked without replacement from {m: 4, e: 4, u: 1, q: 2, v: 9}. What is prob of picking 1 m, 1 e, and 1 v? 12/95 What is prob of picking 2 s, 1 z, and 1 c when four letters picked without replacement from {s: 2, u: 6, b: 4, c: 1, z: 3, p: 4}? 1/1615 Two letters picked without replacement from {e: 2, l: 1, m: 1}. What is prob of picking 2 e? 1/6 Four letters picked without replacement from mjmjmommmjmmqmmmojm. What is prob of picking 2 o, 1 j, and 1 m? 4/323 Two letters picked without replacement from {v: 5, y: 4, z: 1}. Give prob of picking 1 z and 1 v. 1/9 Calculate prob of picking 1 x and 1 j when two letters picked without replacement from jwubjjwwwujwxew. 4/105 Calculate prob of picking 1 p and 1 c when two letters picked without replacement from {v: 2, t: 4, c: 1, b: 1, r: 2, p: 2}. 1/33 Four letters picked without replacement from ooossosm. What is prob of picking 1 s and 3 o? 6/35 Calculate prob of picking 1 j and 1 x when two letters picked without replacement from xjxjjxjjxqxjjxxxjjqs. 36/95 Calculate prob of picking 1 i, 2 m, and 1 t when four letters picked without replacement from zzizzstzzsmzizzmm. 3/1190 What is prob of picking 3 f and 1 a when four letters picked without replacement from {l: 1, v: 1, t: 1, f: 11, a: 1, j: 4}? 55/1292 Two letters picked without replacement from sdbdobhop. Give prob of picking 1 p and 1 o. 1/18 Calculate prob of picking 3 w and 1 k when four letters picked without replacement from {w: 5, k: 7}. 14/99 What is prob of picking 2 l and 2 y when four letters picked without replacement from {q: 3, t: 1, a: 1, y: 5, l: 3}? 6/143 What is prob of picking 3 j when three letters picked without replacement from ejnnneneeeejjjnjjje? 35/969 Three letters picked without replacement from hhhrhhhhr. Give prob of picking 3 h. 5/12 Calculate prob of picking 1 h and 1 x when two letters picked without replacement from ohxhhoxxoxozojjx. 1/8 Four letters picked without replacement from {z: 3, q: 3, v: 3, j: 3}. Give prob of picking 2 q and 2 z. 1/55 Three letters picked without replacement from mmmmmpmm. What is prob of picking 3 m? 5/8 Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {b: 1, p: 2, f: 2, r: 2, i: 5, o: 1}. 2/39 What is prob of picking 1 y and 1 h when two letters picked without replacement from gohccccyc? 1/36 Two letters picked without replacement from {o: 12, b: 6}. Give prob of picking 2 o. 22/51 Two letters picked without replacement from vmrmvvrmwmwvvvvvvvmw. Give prob of picking 1 w and 1 m. 3/38 Two letters picked without replacement from dtd. Give prob of picking 2 d. 1/3 Three letters picked without replacement from {v: 4, r: 3, c: 2, f: 2, p: 2, g: 2}. Give prob of picking 1 p and 2 g. 2/455 Three letters picked without replacement from exxedededeedxelexx. Give prob of picking 2 d and 1 e. 1/17 What is prob of picking 2 e and 1 h when three letters picked without replacement from {e: 3, h: 2}? 3/5 Two letters picked without replacement from {l: 3, u: 2, p: 4, g: 1, n: 2, d: 3}. What is prob of picking 1 p and 1 g? 4/105 Four letters picked without replacement from {h: 7, c: 4, p: 2, r: 2, n: 2, g: 2}. What is prob of picking 1 r, 1 g, 1 h, and 1 p? 14/969 Two letters picked without replacement from txtkkktkktxkxttkttt. What is prob of picking 2 x? 1/57 Calculate prob of picking 3 j when three letters picked without replacement from {g: 1, n: 6, u: 3, j: 4, s: 4, d: 1}. 4/969 Calculate prob of picking 1 v and 3 p when four letters picked without replacement from {p: 1, v: 1, n: 1, g: 1, x: 4}. 0 Calculate prob of picking 2 l when two letters picked without replacement from {l: 6, o: 1, m: 11}. 5/51 Three letters picked without replacement from {p: 5, t: 2, f: 3}. What is prob of picking 2 t and 1 f? 1/40 What is prob of picking 1 z, 1 q, and 1 w when three letters picked without replacement from zzqqqqoqqzwqu? 21/286 Calcul
{ "pile_set_name": "DM Mathematics" }
2 + 7*n - 22. Calculate f(-10). 8 Let p(s) = s**3 + s**2 - 3*s + 1. Give p(-3). -8 Let x(l) = -l - 14. Give x(-9). -5 Let g(n) = n**3 - 18*n**2 - 19*n - 12. What is g(19)? -12 Let i(o) = -o**3 - 7*o**2 - 8*o + 10. Determine i(-5). 0 Let s(x) = 3*x**3 - 16*x**2 + 3*x + 2. Give s(5). -8 Let d(m) = -11*m + 1. Calculate d(1). -10 Let h(d) = d**3 + 9*d**2 + 7*d - 41. Calculate h(-7). 8 Let y(h) = -h**3 + 2*h**2 + 2*h - 2. What is y(3)? -5 Let a(d) = 5*d**3 - 3*d**2 + 2*d - 3. What is a(2)? 29 Let a(j) = j**2 + 7*j - 15. What is a(-9)? 3 Let a(i) = -3*i**2 - 2*i + 9. Determine a(-4). -31 Let f(c) = c + 2. Calculate f(-4). -2 Let a(f) = -9*f - 35. Calculate a(-4). 1 Let f(p) = -2*p**2 - 16*p + 6. What is f(-8)? 6 Let j(r) = -111*r**2 - 3*r + 2. Determine j(1). -112 Let o(a) = -a**2 + 2*a + 10. What is o(7)? -25 Let g(c) = -c**3 - 28*c**2 + 28*c - 30. Determine g(-29). -1 Let f(j) = j**3 + 10*j**2 - 4*j - 18. What is f(-10)? 22 Let h(z) = -z**3 - 10*z**2 + 13*z + 7. Give h(-11). -15 Let w(v) = -v**3 + 18*v**2 - 32*v - 3. Calculate w(16). -3 Let m(t) = -t - 6. What is m(7)? -13 Let b(v) = -v**3 + 13*v**2 + 18*v - 59. Determine b(14). -3 Let w(a) = -2*a**2 + 19*a - 26. Give w(7). 9 Let b(d) = 23*d - 137. Determine b(6). 1 Let r(h) = h**3 - h**2 + h + 1. Give r(-3). -38 Let d(w) = -4*w**2 - 3*w + 1. Give d(-3). -26 Let d(n) = 2*n + 9. Determine d(-8). -7 Let t(z) = z**2 - 11*z + 14. Determine t(6). -16 Let f(j) = 7*j**2 - 47*j - 6. Determine f(6). -36 Let z(n) = -n**3 + 7*n**2 - 9*n + 14. Calculate z(6). -4 Let m(j) = -j**3 - 10*j**2 - 4*j + 10. What is m(-9)? -35 Let d(v) = v + 1. What is d(7)? 8 Let g(x) = -5*x - 5. Give g(-2). 5 Let z(r) = -5*r + 41. Give z(5). 16 Let a(m) = 4*m**2 - m - 6. Give a(-2). 12 Let m(a) = a**2 - 15*a + 11. Give m(16). 27 Let l(o) = -o**3 + o**2 + o + 76. Determine l(0). 76 Let u(o) = -3*o - 9. What is u(0)? -9 Let p(l) = 8*l + 72. Calculate p(-9). 0 Let c(m) = -m**2 + 5*m + 4. Give c(6). -2 Let l(b) = -4*b + 4. What is l(-1)? 8 Let i(t) = t + 13. Calculate i(-19). -6 Let d(u) = 5*u - 10. What is d(2)? 0 Let h(i) = 2*i**3 + 115*i**2 + 57*i - 5. Determine h(-57). -5 Let b(v) = 6*v + 10. What is b(-6)? -26 Let f(o) = -o**3 - 11*o**2 + 11*o - 4. Determine f(-12). 8 Let y(r) = -98*r - 86. Give y(-1). 12 Let t(s) = -s**2 - 28*s + 57. Give t(-30). -3 Let u(s) = 7*s + 91. Calculate u(-14). -7 Let t(x) = x**3 - 5*x**2 - 10*x + 27. What is t(6)? 3 Let z(j) = -2*j**3 - 7*j**2 - 6*j - 7. Calculate z(-3). 2 Let a(x) = x**3 - 1. Determine a(0). -1 Let y(r) = -r**3 - 6*r**2 + 3*r. Calculate y(-7). 28 Let c(l) = -l**2 + 1. Give c(3). -8 Let l(w) = 22*w + 45. Determine l(-9). -153 Let x(o) = o**3 + 10*o**2 - o - 10. Give x(-10). 0 Let j(o) = -o**3 + 10*o**2 + 8*o + 23. What is j(11)? -10 Let p(q) = 26*q - 155. Give p(6). 1 Let h(o) = -o**3 - 3*o**2 - 3*o - 3. Calculate h(-2). -1 Let v(m) = -m**3 + 2*m - 2. Determine v(-2). 2 Let i(l) = 4*l**3 + 65*l**2 + 16*l + 6. Give i(-16). 6 Let y(h) = h**2 - 7*h + 6. Calculate y(6). 0 Let u(c) = 4*c**2 - 6*c - 1. Calculate u(2). 3 Let i(k) = -k**2 + k + 1. Give i(-3). -11 Let v(d) = 10*d**3 - 3*d**2 - 5*d + 6. Calculate v(2). 64 Let l(f) = 19*f - 12. Give l(-4). -88 Let x(c) = c**3 - 6*c**2 + 7*c - 8. Give x(5). 2 Let h(n) = 2*n**3 - n**2 - 2*n + 2. Calculate h(2). 10 Let w(f) = f**2 - 2*f - 48. Determine w(-6). 0 Let s(b) = -5*b - 2. Calculate s(4). -22 Let p(k) = -6*k + 17. Give p(3). -1 Let j(i) = 3*i**2 + 15*i + 28. Determine j(-6). 46 Let i(d) = 20*d**2 + 25*d - 1. Give i(-1). -6 Let d(a) = a - 5. Determine d(15). 10 Let r(l) = l. Calculate r(-3). -3 Let s(q) = -3*q - 71. What is s(-31)? 22 Let q(f) = f**3 + 8*f**2 + 14. Determine q(-9). -67 Let c(f) = -f**2 - 7*f - 7. Give c(-7). -7 Let y(v) = -v**3 - 7*v**2 - 8*v + 2. Determine y(-5). -8 Let g(l) = -l**3 - 4*l**2 + l + 4. Calculate g(2). -18 Let y(z) = -z**2 - 7*z + 2. Determine y(6). -76 Let d(h) = -7*h**3 - h - 1. What is d(-1)? 7 Let c(b) = b - 3. What is c(-4)? -7 Let a(p) = -p + 10. Calculate a(-5). 15 Let i(f) = -f**2 - f + 39. What is i(0)? 39 Let h(s) = -4*s**2 + 28*s - 12. Give h(7). -12 Let g(v) = -49*v + 434. Determine g(9). -7 Let i(t) = -t**3 - 7*t**2 + 2*t - 17. What is i(-8)? 31 Let o(v) = v**3 - 30*v**2 + 55*v + 24. Give o(28). -4 Let b(v) = v**3 - 8*v**2 + 8*v - 16. What is b(7)? -9 Let c(d) = -8*d + 24. Calculate c(4). -8 Let z(x) = -x**3 - 4*x**2 + 9*x - 8. What is z(2)? -14 Let c(a) = a**2 - 2*a - 18. Calculate c(6). 6 Let z(o) = -2*o**2 + 101*o - 148. Give z(49). -1 Let l(u) = u**2 + 6*u - 42. Determine l(4). -2 Let x(s) = -s**3 + 4*s**2 - 5*s - 3. What is x(4)? -23 Let i(k) = k**2 - 9*k + 12. What is i(9)? 12 Let c(y) = -138*y - 151. Calculate c(-1). -13 Let k(u) = u**2 - u - 36. Determine k(6). -6 Let h(q) = -q**2 + 13*q + 16. Calculate h(16). -32 Let n(k) = -k**2 + 2*k + 7. Determine n(5). -8 Let l(s) = s**3 + 15*s**2 - 31*s + 49. Determine l(-17). -2 Let l(d) = d - 3. What is l(14)? 11 Let n(m) = -5*m - 21. Calculate n(0). -21 Let x(t) = t**3 - 14*t**2 - t + 16. What is x(14)? 2 Let m(b) = b**2 + 10*b - 23. What is m(-12)? 1 Let u(i) = 7*i**3 + i - 1. Determine u(1). 7 Let x(p) = -2*p - 17. Give x(-9). 1 Let f(p) = -2*p**2 - 15*p - 15. Give f(-8). -23 Let i(v) = v - 21. Determine i(17). -4 Let d(y) = 8*y - 78. Calculate d(11). 10 Let o(v) = -v - 16. Determine o(-9). -7 Let t(d) = -3*d**2 - 29*d - 12. Calculate t(-9). 6 Let x(t) = -t**3 + 4*t - 1. What is x(1)? 2 Let k(s) = -s**3 + 48*s**2 - 95*s + 104. What is k(46)? -34 Let g(t) = -14*t - 100. Determine g(-8). 12 Let j(f) = -f**3 + 22*f**2 - f + 30. What is j(22)? 8 Let b(j) = -j**2 + 13*j - 5. What is b(9)? 31 Let s(w) = 11*w + 138. Calculate s(-13). -5 Let l(w) = -w**3 + 3*w**2 + 1. Calculate l(3). 1 Let q(c) = 7*c**3 + c**2. Calculate q(1). 8 Let f(a) = 20*a + 20. Give f(-2). -20 Let q(b) = b - 25. Give q(6). -19 Let d(i) = 2*i + 42. Give d(-19). 4 Let o(c) = -18*c - 1729. Determine o(-96). -1 Let c(b) = 5*b + 87. Determine c(-18). -3 Let d(u) = 6*u - 3. Calculate d(-2). -15 Let u(t) = t**2 - 3*t - 1. Calculate u(4). 3 Let a(k) = -k**2 - k. Give a(12). -156 Let x(z) = -2*z**2 + 7*z + 5. Give x(-4). -55 Let h(s) = -4*s + 6. What is h(-4)? 22 Let i(l) = -l**3 + 11*l**2 - 8*l. Determine i(10). 20 Let f(m) = -m - 2. Give f(-1). -1 Let q(o) = o**2 - 7*o + 7. Calculate q(8). 15 Let i(a) = -a + 45. Determine i(-12). 57 Let f(a) = 5*a - 99. Determine f(22). 11 Let n(k) = -k**2 - 8*k - 21. Determine n(-7). -14 Let r(f) = 3*f**2 - 5*f - 2. Give r(6). 76 Let y(r) = 33*r + 171. Determine y(-5). 6 Let q(h) = h**3 + 11*h**2 - h - 18. Give q(-11). -7 Let a(d) = 13*d - 32. Determine a(2). -6 Let y(s) = -6*s - 1. Determine y(1). -7 Let z(l) = -11*l - 40. Determine z(-3). -7 Let w(r) = -r - 12. Give w(27). -39 Let k(q) = -10*q**2 + q. Calculate k(-1). -11 Let g(b) = b**2 - 50*b - 1395. Determine g(-20). 5 Let n(z) = z**3 - 7*z**2 - 29*z - 20. Determine n(10). -10 Let x(g) = 15*g - 23. Give x(4). 37 Let l(h) = h**3 - 13*h**2 + 13*h + 8. Calculate l(12). 20 Let h(r) = r**2 - 7*r + 10. What is h(5)? 0 Let z(c) = -c**3 - 9*c**2 - 7*c. What is z(-8)? -8 Let w(z) = z - 6. Calculate w(1). -5 Let i(u) = -2*u + 19. Determine i(5). 9 Let p(i) = i - 5. Give p(7). 2 Let h(s) = -2*s + 2. Give h(4). -6 Let c(w) = 2*w**2 + 10*w + 7. Calculate c(-3). -5 Let t(f) = -f**2 - 5*f + 13. Give t(6). -53 Let r(l) = -6*l - 22. What is r(-10)? 38 Let i(r) = 5*r**3 + 5*r**2 + 4*r - 4. What is i(-3)? -106 Let x(t) = t**3 + 28*t**2 - 60*t - 6. What is x(-30)? -6 Let h(v) = v**2 - 65*v + 354. What is h(59)? 0 Let b(y) = -y**3 + 12*y**2 + 12*y - 7. Determine b(13). -20 Let j(b) = -b**2 + 16*b + 7. Determine j(16). 7 Let c(a) = 6*a + 11. Calculate c(2). 23 Let p(v) = v**3 - 20*v**2 - 17*v - 78. What is p(21)? 6 Let s(p) = -p**2 + 33*p - 23. Calculate s(32). 9 Let j(z) = z**3 - 2*z**2 - z + 12. Determine j(0). 12 Let d(j) = -j**3 + 5*j**2 + 11*j + 5. Calculate d(7). -16 Let k(l) = l**2 - 14*l + 4. Give k(5). -41 Let g(f) = -9*f**2 + 14*f + 15. Give g(-1). -8 Let s(n) = -2*n**3 - 18*n**2 + 3*n + 19. Determine s(-9). -8 Let p(z) = -2*z**3 + 4*z**2 - 3*z + 5. Give p(4). -71 Let m(l) = -2*l**2 + 12*l + 6. Give m(7). -8 Let b(m) = m**2 + 20*m + 48. What is b(-3)? -3 Let s(n) = 5*n**2 - 56*n + 8. Calculate s(11). -3 L
{ "pile_set_name": "DM Mathematics" }
**3 - 7*n + 59. Let l(z) = 7*i(z) + 3*u(z). What is the first derivative of l(p) wrt p? 108*p**3 Let t(g) = 2*g - 8. Let a be t(4). What is the third derivative of 2*j**3 + a*j**3 + 3*j**3 + j**2 wrt j? 30 Let x(y) be the first derivative of y**6/6 + 8*y**3/3 + 6. What is the third derivative of x(h) wrt h? 60*h**2 Let f(j) be the first derivative of -j**4/12 + j**2/2 + 3*j - 2. Let y(r) be the first derivative of f(r). Differentiate y(q) with respect to q. -2*q Suppose 2*u = 2*r + 8, 5*u - u = 16. Find the second derivative of 2*h**2 + h + r*h**2 + 2*h wrt h. 4 Let w(j) be the second derivative of -j**6/60 - j**3/3 + 3*j**2/2 - 4*j. Let l(r) be the first derivative of w(r). Find the first derivative of l(k) wrt k. -6*k**2 Let s(t) be the second derivative of 0*t**4 - 3*t + 0*t**3 + 3/2*t**2 + 3/10*t**5 + 0. Differentiate s(k) with respect to k. 18*k**2 Let o(a) be the second derivative of 25*a**4/12 + 5*a**3/6 + a**2 - 17*a. What is the second derivative of o(k) wrt k? 50 Let h(l) be the second derivative of -3*l**5/10 + 7*l**3/6 - 13*l. What is the second derivative of h(o) wrt o? -36*o Let j(l) = 2*l**2. Let r be j(-1). Let y be (-2)/(-4) - (-9)/6. What is the third derivative of -q**2 + r*q**2 - q**6 + 0*q**y wrt q? -120*q**3 Let v(k) be the second derivative of 0*k**2 + 7/12*k**4 + 2*k - k**3 + 0. Find the second derivative of v(i) wrt i. 14 What is the third derivative of 21*h**2 + 6*h**2 - 3*h**4 - h**4 - 4*h**4 wrt h? -192*h What is the third derivative of -27*m**4 + m**2 + 0*m**2 + 4*m**2 wrt m? -648*m Let d(y) = 6*y**3 + 2*y + 5*y**4 - 7*y**4 - 3*y**3. Let r(o) = -22*o**4 + 34*o**3 + 22*o. Let f(u) = 68*d(u) - 6*r(u). Find the second derivative of f(x) wrt x. -48*x**2 Let r = -16 + 21. Differentiate -3*x**3 - 1 - 5*x + r*x wrt x. -9*x**2 Suppose 10 = 3*l + 2*l. Let o be l/2 + (2 - 10). Let y(s) = 10*s + 1. Let u(d) = 7*d + 1. Let z(j) = o*u(j) + 5*y(j). Differentiate z(t) wrt t. 1 Suppose w = -w - 5*r - 25, 3*r = 5*w - 15. Find the first derivative of -1 - d - 1 + w*d - 2*d wrt d. -3 Let w(o) = o**5 + o**4 + o**3 - o**2. Let u(s) = -29*s**5 + s**4 + s**3 - 54*s**2. Let v(t) = -u(t) + w(t). What is the third derivative of v(k) wrt k? 1800*k**2 What is the second derivative of -22*n**4 + 61*n - 41*n - 3*n**4 wrt n? -300*n**2 Let j(d) be the second derivative of 1/2*d**3 - 4*d + 0 + d**2. Find the first derivative of j(a) wrt a. 3 What is the third derivative of -5*o**3 - 38*o - o**3 + 24*o**2 + 38*o wrt o? -36 Let d = -18 + 20. What is the third derivative of 2*f**2 - 3*f**d + 6*f**2 + 6*f**4 wrt f? 144*f Let w(q) be the first derivative of -q**4/4 + 43*q - 19. Find the first derivative of w(s) wrt s. -3*s**2 Let b(k) = -1. Let y(m) be the first derivative of -5*m**2/2 - 6*m + 4. Let c(u) = 5*b(u) - y(u). What is the derivative of c(h) wrt h? 5 Find the third derivative of -22*l**2 - 12*l**2 + 27*l**6 - 53*l**6 wrt l. -3120*l**3 Let m(h) = 2*h**3 - 3*h**2 + 2*h - 3. Let j be m(2). Find the second derivative of -5*w**j + w**5 + 2*w - 2*w**5 + 2*w**5 wrt w. -80*w**3 Differentiate 40*b**3 - 13 + 4 + 15 wrt b. 120*b**2 Suppose -5 = -2*s - 1. Find the second derivative of r - 42*r**2 + 42*r**s + 0*r - 7*r**4 wrt r. -84*r**2 Let b(h) be the first derivative of -12*h**7/7 + 2*h**3 - 12. What is the third derivative of b(o) wrt o? -1440*o**3 Suppose 8 = j - 0*j + i, 4*i = j + 7. What is the derivative of 3*q + 0*q - j*q - 4 wrt q? -2 Suppose j + j - 4 = 0. What is the third derivative of -2*a**4 + 2*a**4 + 3*a**6 - a**2 - 2*a**j wrt a? 360*a**3 What is the second derivative of -26*d - 349*d**5 + 370*d**5 + 10*d wrt d? 420*d**3 What is the second derivative of -93 + 3*y + 14*y**4 + 18*y**4 + 86 + 2*y**2 - 4*y**4 wrt y? 336*y**2 + 4 Suppose 0 = -0*d + d. Suppose 2*r + 16 = 4*f, 0 = -5*r + f - 6*f + 35. What is the third derivative of -2*w**2 + w**2 - 2*w**4 + d*w**r wrt w? -48*w Let c(m) be the first derivative of -19*m**5/5 - 16*m - 28. Differentiate c(a) wrt a. -76*a**3 Let x(i) be the third derivative of i**8/48 - 8*i**5/15 + 20*i**2. Find the third derivative of x(k) wrt k. 420*k**2 Let j = -7 - -10. Find the third derivative of d**5 + j*d**5 + 6*d**2 - 3*d**2 - 3*d**5 wrt d. 60*d**2 Let w(f) be the first derivative of 11*f**6/6 - 2*f**3/3 - 5. What is the third derivative of w(y) wrt y? 660*y**2 Let y(p) = 5*p + 12. Let r(l) = -19*l - 48. Let t(a) = 2*r(a) + 9*y(a). What is the first derivative of t(o) wrt o? 7 Let i be (-1 + 3)*(-3 + 4). Find the first derivative of -3 + 3*m**2 - m**i + 0*m**2 - m**2 wrt m. 2*m Let n(j) be the third derivative of j**6/120 - 7*j**5/60 + 8*j**2. What is the third derivative of n(q) wrt q? 6 Let h(d) = -19*d**4 - 7*d**2 + 2*d. Let b(a) = 19*a**4 + 8*a**2 - 3*a. Let g(y) = 2*b(y) + 3*h(y). Find the third derivative of g(x) wrt x. -456*x Let a be (1 + 7/(-4))*-4. Let y be 4/2 - (9 + -7). Differentiate -a*s + 3*s**3 - 2 + y*s + 3*s with respect to s. 9*s**2 Let i = -7 - -22/3. Let h(r) be the third derivative of -i*r**3 + 0*r**6 + 0*r**5 + 0*r + 0 + 0*r**4 + 1/210*r**7 - r**2. What is the derivative of h(b) wrt b? 4*b**3 Let f(w) be the first derivative of -9*w**5/5 - 2*w - 10. Differentiate f(m) with respect to m. -36*m**3 Let g(o) = -4*o**3 - 6*o**2 + 2. Let l(f) = -11*f**3 - 17*f**2 + 7. Let b(y) = -7*g(y) + 2*l(y). Find the third derivative of b(t) wrt t. 36 Let a(q) = q**2 + 7*q - 6. Let t be 217/(-28) + (-2)/8. Let v be a(t). What is the third derivative of -3*h**3 + h**3 - 4*h**v - h**3 wrt h? -18 Let f(s) = 5*s**3 - s**2 + 1. Let d be f(1). What is the second derivative of 2*x**5 - 2*x**5 + 0*x**d - 11*x**5 - 7*x wrt x? -220*x**3 Suppose -3*q + 1 = -5. Let s(u) = 4*u**3 + u**2 - u. Let r be s(1). Find the third derivative of 8*t**r + 0*t**2 - q*t**2 + 0*t**2 - 4*t**4 wrt t. 96*t Let h(t) be the second derivative of 9*t**7/14 - 7*t**3/2 + 11*t. Find the second derivative of h(a) wrt a. 540*a**3 Let b(m) be the third derivative of 0*m**3 + 0*m - 10*m**2 + 0*m**5 - 5/24*m**4 + 0*m**6 + 0*m**7 + 0 - 1/56*m**8. What is the second derivative of b(t) wrt t? -120*t**3 Let r(o) be the third derivative of -1/20*o**5 + 0*o**3 + 1/6*o**4 + 0 + 0*o - 4*o**2. What is the second derivative of r(y) wrt y? -6 Let r(j) be the second derivative of 3*j**6/5 + 11*j**3/6 - 23*j. What is the second derivative of r(k) wrt k? 216*k**2 Let k be 12/(-16) - (-6)/8. What is the first derivative of -4*t**3 + k + 6 - 9 wrt t? -12*t**2 Let c(x) be the second derivative of -3*x**6/10 + 6*x**2 - 14*x. What is the derivative of c(j) wrt j? -36*j**3 Let w = 54 - 54. Let v(y) be the second derivative of w*y**2 - 1/6*y**3 - 1/4*y**4 + 0 + y. What is the second derivative of v(n) wrt n? -6 Let p(i) = 5*i**3 + 13*i**2 - 2. Let l(x) = -16*x**3 - 38*x**2 + 7. Let d(s) = 2*l(s) + 7*p(s). What is the third derivative of d(w) wrt w? 18 Let y(m) = 43*m**3 - 5*m**2 + 5*m - 18. Let o(n) = -21*n**3 + 2*n**2 - 2*n + 9. Let j(d) = -5*o(d) - 2*y(d). What is the first derivative of j(f) wrt f? 57*f**2 Let m(f) = 3*f**2. Suppose 5*j + 8 = -3*i, 0 = 5*j - 0*i + 2*i + 7. Let a be m(j). What is the first derivative of 6 - 2*c**3 + c**a - 2*c**3 - 4 wrt c? -9*c**2 Let v(k) = 3*k + 4. Let y(m) = 12*m + 13 - 1 + 5. Let f(u) = 9*v(u) - 2*y(u). What is the first derivative of f(s) wrt s? 3 Let m(s) be the second derivative of 0*s**5 + s**2 + 0*s**3 + 0 - 1/10*s**6 + 0*s**4 - 3*s. Differentiate m(u) wrt u. -12*u**3 Let i(g) = -30*g**3 - 8*g**2 + 5. Let t(s) = 10*s**3 + 3*s**2 - 2. Let m(h) = 3*i(h) + 8*t(h). Differentiate m(n) wrt n. -30*n**2 Let n(j) be the first derivative of 3/4*j**4 - 5 + 1/2*j**2 + 0*j**3 + 0*j. What is the second derivative of n(c) wrt c? 18*c Let k(f) be the second derivative of -f**7/840 + f**6/180 - f**3/6 + 5*f. Let h(w) be the second derivative of k(w). Find the third derivative of h(l) wrt l. -6 Let l(r) = r**2 - 5*r + 4. Let k be l(4). Let v(m) be the second derivative of k - 2*m - m**2 - 1/6*m**3. Find the first derivative of v(c) wrt c. -1 Let d(f) be the first derivative of 1/5*f**5 - 4 + 0*f + f**3 + 0*f**2 + 0*f**4. Find the third derivative of d(n) wrt n. 24*n Let m = 601/30 + -20. Let c(s) be the third derivative of -3*s**2 + 0*s + m*s**5 + 0*s**4 + 0 + 1/3*s**3. What is the first derivative of c(j) wrt j? 4*j Suppose 18 = -
{ "pile_set_name": "DM Mathematics" }
z = f + -0.09. What is the third biggest value in -4, -1/3, z? -4 Let m be (-21)/492 + (8/(-288) - 6/27). Which is the third smallest value? (a) -4 (b) -1 (c) 1 (d) m (e) -2/21 d Suppose 128 = -5*v - 3*s, 2*v + 72 = 2*s + 2*s. Let i be v/(-80) - (-6)/15. What is the biggest value in -1/12, -0.5, i? i Let t = -4.9 + 5. Let g = 39796/7 - 5683. What is the second smallest value in g, t, -3? t Let y = 21 - 145/7. Let k be (-939)/(-11268) - (25/36)/(-5). What is the third biggest value in k, 1/8, 4, y? k Let v = -123 + 173. Let f = v + -30. Suppose -2*m - 4*o - 2 = 8, -4*m - 5*o - 11 = 0. Which is the second biggest value? (a) f (b) m (c) -2 b Let a be -4*(-2)/8*8. Suppose -2 - a = 4*c - 2*v, -v + 11 = -5*c. What is the third biggest value in -3, c, -0.3? -3 Let a(c) = c**3 + 18*c**2 - 77*c + 12. Let b be a(-21). Let q be 102/189 + (-34)/b. What is the smallest value in q, 0, -4, 1.03? -4 Let q = 318/7 + -4127/91. What is the third smallest value in -3, 6, q, 0.4? 0.4 Let n = -1641.726 + 1641.7. Let x = -2.1 - -5.1. What is the second smallest value in n, -1/2, x? n Let i = 6266 + -6263. What is the third smallest value in -27, i, 84, 0.4? i Let f = -95.42 + 96.19. Which is the second biggest value? (a) f (b) -0.1 (c) 1/2 (d) 0.2 c Let i be (246/(-41))/(-6 + 8). What is the second biggest value in 0.2, 220/19, -2/9, i, -1/2? 0.2 Let n = 1090 + -1086. Which is the fourth smallest value? (a) 1 (b) n (c) 3 (d) -3 b Let w = 20592 + -20560.7. Which is the third biggest value? (a) 0.1 (b) -0.3 (c) w b Let y = -448.7 - -447.1. What is the second smallest value in y, -3, 1/2, -0.04? y Let g be (-8)/6 + (-58)/(-58). Which is the fourth smallest value? (a) -2 (b) 193 (c) -0.4 (d) g (e) 0 e Let s be 9 - 56/8 - (1 + -4). Suppose 6*q + 8 = 2*q, -j - s = q. What is the third smallest value in j, 9, 0? 9 Let s be (-3 - -224) + -9 + 15. What is the second smallest value in s, 5, -0.2? 5 Let v be ((-12)/(-45))/((-144)/(-120)). What is the biggest value in -1192, v, 2/7? 2/7 Let r = -722 + 741. Suppose 37*i - 21*i = r*i. Let d = -5 - -3. What is the fourth biggest value in 5, 3, i, d? d Let r = -27914 + 27942. What is the fifth smallest value in 0.4, r, 0, -0.5, -1.1? r Let n be 4 - ((-34)/(-6) - -5) - -7. Which is the fifth smallest value? (a) 0 (b) n (c) -1 (d) 29 (e) -0.4 d Let b be (352/792*6/(-4))/226. What is the fourth smallest value in b, -3, 1, -3/2? 1 Let s = -0.0105 + 9.5105. Let f = 2.5 - s. Which is the smallest value? (a) -2 (b) f (c) 3 (d) 4 b Let w be 133/76*(1 - (4 + 78/(-21))). Which is the third biggest value? (a) 1 (b) -5 (c) -0.4 (d) w (e) -3 c Let g = 269 + -267. What is the smallest value in 4/23, g, 2/3? 4/23 Let x = -3 + 5. Let d = -2 - x. Let q be (-2)/24 + (-1453)/8718. What is the smallest value in q, -0.04, d? d Let c = 2584 - 2584.3. Let h(m) = m**2 + 11*m + 3. Let r be h(-11). What is the third biggest value in r, -0.8, c? -0.8 Let g = 341250 + -1023748/3. Let b = 12 - 7. What is the third biggest value in -1/19, g, 1, b? g Let u = 14 + -99/7. Let n = -10.0354 + 5.0354. What is the second biggest value in n, u, -0.1, 5/12? -0.1 Let d = -610/9 + 68. What is the fourth biggest value in -3.2, -9, -1, d? -9 Let t = 5 + -17. Suppose 3*p = k - 10, 245*p - 250*p - 20 = 0. Which is the second smallest value? (a) -1/5 (b) t (c) k (d) 1/7 c Let g = 602 + -597. Let c = 0 - 0.05. Let w = -5.05 - c. What is the second biggest value in 13, w, g? g Let p = 34.4 - 34. Let v = -9.2 - -9.3. What is the second smallest value in -24, p, v? v Suppose -6*y + 4*y - 4 = 5*n, 8 = 4*n - 4*y. Suppose 0 = 4*s - 4 + 12. Which is the smallest value? (a) 4 (b) s (c) n b Let c = -206 + 206.4. Suppose 4*y + 3*t - 8 = -32, 3*t + 3 = 3*y. Let u = -149 + 149.5. What is the second smallest value in y, c, 0.1, u? 0.1 Let j be 15*(-4)/(-25)*5/3. Suppose 4*h - 2*z = -16, 3*h + 26 = -2*h + j*z. Which is the fourth smallest value? (a) h (b) 2 (c) 0.3 (d) -3 b Let u = 2/221 + -460/1989. Let m = 23/3 + -37/6. Suppose -7*t + 11*t = 20. Which is the third smallest value? (a) m (b) u (c) t c Let m = -60.9006 + 58.9006. Let n = -0.5 - -0.3. Which is the smallest value? (a) 0.1 (b) m (c) n (d) -7.8 d Suppose 17*b + 40 = 19*b. Let s(o) = 5*o - 106. Let h be s(b). What is the second biggest value in h, 0, -3/4? -3/4 Let o be (-28)/5*6/(-4). Let p = -0.269 + -2.731. Which is the second smallest value? (a) o (b) p (c) 1/4 (d) -4 b Let m = -12 + 13. Let y be 42/490*(-3 - -10). Let c = 11 + -11. What is the third smallest value in y, m, c? m Let n be (3 + 50/(-15))*(-441)/98. Which is the fourth smallest value? (a) -4/7 (b) -11 (c) 3/7 (d) n d Let j(r) = -r**2 + 76*r + 656. Let d be j(-8). Which is the second biggest value? (a) d (b) -9 (c) -5 b Let j = 133/2 - 68. Let h = -0.089 - -0.014. Let w = 0.025 - h. Which is the second smallest value? (a) w (b) j (c) -0.1 (d) 2/9 c Let f = -13967 - -13521. What is the second biggest value in 0.5, -1, f, 0.3? 0.3 Let n = -4902 + 4902.4. Which is the second smallest value? (a) 2 (b) -6.2 (c) n (d) 4 c Let k(u) = -u**3 + 2*u**2 + 8*u - 2. Let h be k(4). Which is the second smallest value? (a) h (b) -63 (c) 0.4 a Let x = 113.2 - 107.2. What is the biggest value in x, 20/3, -13? 20/3 Let l = 15992 + -16032. What is the second biggest value in 1, -0.5, 8/3, l? 1 Let p be ((-8)/((-128)/(-24))*2/15)/1. Let n = -257/5 - -1061/15. Let j = n + -39/2. What is the biggest value in j, p, -2? j Let l = 10461 - 10462.0009. Let v = l + 0.0009. What is the second biggest value in v, 1/6, -52? v Suppose 4*y - 54 + 70 = 0. Let i = 2368/15 - 158. Which is the smallest value? (a) -2/37 (b) y (c) i (d) -2/17 b Let u = -4034 - -3819. Which is the third biggest value? (a) u (b) -2/7 (c) -0.5 (d) 3 (e) -0.05 b Let k(h) = -149*h - 600. Let t be k(-4). What is the third biggest value in 0.1, t, -137? -137 Let s = -0.092 - -0.135. Let l = s + -0.043. What is the second biggest value in l, -1/5, -0.3, -3? -1/5 Let h = 0.962 + -5.962. Let z = -37 + 41. What is the second biggest value in h, 1/7, z? 1/7 Let x = -1.8 - 2.2. Let r = 613 + -609. What is the biggest value in 7, r, -3, x? 7 Let t = -791 - -789. Let m = 514 + -8741/17. Which is the second smallest value? (a) -1/5 (b) t (c) m a Let g be ((-8)/(-24))/((8/2514)/(-4)). Let a = -7125/17 - g. Let q = 1 - 1. What is the biggest value in -9, q, a? q Suppose 663 = t - 4*n, -n = t + 3*t - 2737. Let x = t - 688. Which is the third biggest value? (a) 5 (b) 157 (c) x c Let i be (-21130)/12*(-8)/(-30). Suppose 0 = 5*l - 4*x - 2370, 207 = -3*l + 5*x + 1642. Let z = l + i. What is the biggest value in 3, z, -4, 2/3? 3 Let w = 58.5 + 17.5. Let u = 111 - w. Which is the third smallest value? (a) u (b) -3 (c) 0.1 a Let m = 3044 + -3047. Which is the smallest value? (a) m (b) -1/4 (c) 1/2 (d) -1369 d Let y = -61 - -102. Let m = -83/2 + y. Which is the biggest value? (a) -4 (b) -0.4 (c) -1 (d) m b Let l = -1009 - -950. What is the third smallest value in l, 3, 14? 14 Suppose 3*h - 5 = 2*h. Let m = -76344 - -76343.9. What is the biggest value in h, -2, m, 1? h Let a(h) = 4*h**2 - 4*h - 21. Let m(o) = -o**2 + o. Let f(n) = -a(n) - 3*m(n). Let k be f(8). What is the second smallest value in -0.4, -0.5, -1/7, k? -0.5 Let k = 432 - 330. Let u = -23 + k. Which is the second smallest value? (a) 5 (b) u (c) -1/5 (d) 2 d Let y(r) = 5*r + 89. Let l(z) = z + 18. Let o(w) = 22*l(w) - 4*y(w). Let d be o(-22). Let s = 4 + -5. Which is the third biggest value? (a) s (b) d (c) 9 b Let n = 6347 - 6346.9. What is the second smallest value in -2, n, -0.07, 2? -0.07 Let n = -0.1 - -5.1. Let u = -16.12 - 149.68. Let w = u - -166. Which is the second biggest value? (a) w (b) n (c) 1/6 a Let j = -0.231 + 0.311. Which is the smallest value? (a) 0.4 (b) j (c) -3/23 c Suppose 6 - 4 = -m, -2*t = -5*m - 16. Let k = -0.18 - 4.82. What is the biggest value in 9, 1, t, k? 9 Suppose 0 = 2*x, -4*r - 196 = x - 188. Which is the smallest value? (a) r (b) -5 (c) 0.036 (d) 3 b Suppose -16*p + 4850 - 192 + 12382 = 0. What is the third biggest value in p, 0.4, -5? -5 Let w = -233.103 - -233. Let n = w + -2.897. What is the smallest value in n, -0.01, 1
{ "pile_set_name": "DM Mathematics" }
is the next term in 838035, 1676198, 2514361, 3352524, 4190687, 5028850? 5867013 What is next in -10322426, -20644859, -30967300, -41289749, -51612206? -61934671 What is next in -2950556, -2950572, -2950598, -2950640, -2950704? -2950796 What is next in 356373, 712745, 1069137, 1425561, 1782029? 2138553 What is next in -21004, -18069, -10098, 5429, 31032, 69231? 122546 What is the next term in 1077346, 2154623, 3231900, 4309177? 5386454 What is the next term in -34, -133, -302, -547, -874, -1289, -1798, -2407? -3122 What is next in 1854, 7474, 16926, 30288, 47638, 69054? 94614 What is next in 2016462, 8065835, 18148124, 32263329, 50411450, 72592487? 98806440 What comes next: -1806, -14473, -48944, -116151, -227026? -392501 What is next in 66097772, 66097775, 66097778, 66097781? 66097784 What is next in -216386, -216665, -216944, -217223? -217502 What comes next: -4957, -19287, -42989, -76051, -118461, -170207, -231277? -301659 What comes next: 192, 49, -756, -2559, -5696, -10503, -17316? 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-182022 What is next in -14146405, -28292896, -42439387? -56585878 What is next in 532047, 531982, 531881, 531750, 531595? 531422 What is next in -1401211, -1401233, -1401253, -1401271? -1401287 What is the next term in 11647131, 46588513, 104824151, 186354045, 291178195? 419296601 What comes next: 2991, 2775, 2405, 1881, 1203, 371? -615 What is the next term in 10904, 1520, -23946, -73534, -155284, -277236? -447430 What is the next term in -19353, -23254, -27155? -31056 What is the next term in -114880967, -114880972, -114880979, -114880988, -114880999? -114881012 What is the next term in -1628, -1887, -2600, -3995, -6300, -9743, -14552? -20955 What comes next: 1111, 1727, 2363, 3019, 3695, 4391? 5107 What comes next: -11548, -44669, -99870, -177151, -276512, -397953, -541474? -707075 What comes next: -986666, -1973357, -2960048? -3946739 What is the next term in 282343, 282616, 283067, 283696, 284503, 285488? 286651 What is next in -61519409, -61519408, -61519405, -61519400? -61519393 What is the next term in -300, -291, 344, 1917, 4740, 9125? 15384 What is next in -1837355, -1837227, -1837099? -1836971 What is next in -4440, -4756, -5620, -7308, -10096, -14260, -20076, -27820? -37768 What is next in -4228, -11147, -20760, -33067, -48068, -65763, -86152? -109235 What is next in -10, -153, -626, -1591, -3210? -5645 What is next in -14875150, -29750297, -44625444, -59500591, -74375738? -89250885 What comes next: -7876, -8100, -8232, -8266, -8196, -8016, -7720? -7302 What is the next term in 2304, 8529, 18926, 33489, 52212, 75089, 102114? 133281 What comes next: 5897, 11704, 17387, 22946, 28381, 33692, 38879? 43942 What comes next: 74, 18, -174, -514, -1014? -1686 What comes next: -36058, -72739, -109418, -146095? -182770 What is next in 1532, 2839, 6390, 13307, 24712, 41727? 65474 What is the next term in -10111, -20108, -30105? -40102 What is next in 379, 1279, 3055, 5923, 10099? 15799 What is the next term in 74839, 149707, 224575, 299443, 374311? 449179 What comes next: -168541, -168544, -168547? -168550 What comes next: 8173, 7930, 7469, 6682, 5461, 3698, 1285? 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-2460297 What is next in -193979021, -387958049, -581937077, -775916105, -969895133? -1163874161 What is next in -11183, -45690, -103209, -183746, -287307? -413898 What is the next term in 3749996, 3749952, 3749908, 3749864? 3749820 What is the next term in 27676, 55435, 83264, 111163, 139132, 167171? 195280 What is the next term in -1004212, -2008404, -3012602, -4016806? -5021016 What comes next: 1240404448, 1240404446, 1240404444, 1240404442, 1240404440, 1240404438? 1240404436 What comes next: 2321263, 9285082, 20891451, 37140370, 58031839? 83565858 What is next in 1145, 26, -1097, -2224? -3355 What comes next: 334, 555, 614, 511, 246? -181 What comes next: -39111, -39469, -39827, -40185? -40543 What is next in 528770, 528748, 528726, 528704, 528682, 528660? 528638 What is the next term in 8566489, 8566484, 8566479, 8566474, 8566469, 8566464? 8566459 What is next in -3964, -7872, -11710, -15466, -19128, -22684, -26122? -29430 What comes next: 112385, 112572, 112759, 112946, 113133, 113320? 113507 What comes next: 7990, 7822, 7540, 7138, 6610, 5950? 5152 What is the next term in -10098, -20944, -32514, -44802, -57802, -71508, -85914, -101014? -116802 What comes next: -2897074, -5794147, -8691220, -11588293? -14485366 What comes next: 14683, 14998, 15329, 15688, 16087, 16538, 17053? 17644 What is next in -1152824018, -1152824019, -1152824020, -1152824021, -1152824022, -1152824023? -1152824024 What comes next: -189332, -190220, -191110, -192002? -192896 What comes next: 7269, 14880, 22711, 30756, 39009, 47464, 56115, 64956? 73981 What is the next term in 10883737, 10883743, 10883751, 10883761, 10883773, 10883787, 10883803? 10883821 What comes next: -98964903, -98964913, -98964923? -98964933 What comes next: 11448, 92014, 310734, 736686, 1438948, 2486598, 3948714, 5894374? 8392656 What is next in -2040, -3688, -5338, -6990, -8644? -10300 What is the next term in 227, 678, 1573, 3044, 5223, 8242, 12233? 17328 What comes next: -63596, -63586, -63570, -63548, -63520, -63486, -63446? 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{ "pile_set_name": "DM Mathematics" }
v(1). Suppose -y*s - 5*a = -15, a + 22 = 7*s - 3*s. Let b = s - -17. Does 11 divide b? True Let c be ((-2)/(-4))/((-5)/(-260)). Let i = 50 - c. Is i a multiple of 12? True Let b be (-4)/6 - (-4)/6. Let s(f) = -f**3 - 8 - 4*f**2 + f + 44 + 3*f**2. Does 12 divide s(b)? True Suppose -5*c - 4*i = -243, -5*c + 0*i - 2*i = -239. Does 15 divide c? False Is 2*11 - (4 + -6) a multiple of 24? True Let v(m) = m**3 - 8*m**2 - 8*m - 4. Let k be 3*3 - (3 + -3). Is v(k) a multiple of 2? False Let w(l) be the third derivative of -l**4/24 + 5*l**3/6 + 6*l**2. Is 14 a factor of w(-9)? True Let u(s) = -s**2 + 7*s + 9. Let n(b) = -2*b**2 + 13*b + 17. Let d(z) = -4*n(z) + 7*u(z). Is 21 a factor of d(-6)? False Let m(k) = k**3 - 2*k**2 - k - 1. Let c be m(2). Let u be 1 + c - (0 + 1). Let i(z) = -z**3 - z**2 + 3*z - 4. Is 2 a factor of i(u)? False Let f = 2 - 2. Suppose -d + v + 1 = -2*d, 4*d - 4*v - 28 = f. Is 3 a factor of d? True Suppose -4*k = -4*x - 20, -5*k - 3*x - 2*x + 15 = 0. Suppose k*v = -5*i - 0*v - 157, 0 = i + 5*v + 23. Let z = -11 - i. Is 11 a factor of z? True Suppose j + 13 = 5*l, -5*l = 5*j - 17 - 8. Suppose 5*t + 6 = 7*t. Suppose 3*x - 12 = 0, 24 = v + l*v - t*x. Does 4 divide v? False Suppose 0 = -j + 2*j + 7. Let z = -15 - j. Let b = 18 + z. Is 8 a factor of b? False Let r = 15 - -7. Let o = 13 + 1. Let u = r - o. Does 8 divide u? True Let y(l) = -l + 43. Does 18 divide y(7)? True Let d = 198 - 107. Let g = d + -61. Suppose w = g + 1. Is w a multiple of 12? False Let b = 1 - 7. Let l(g) = -5*g**3 + 13*g**2 + 12*g - 6. Let k(p) = -6*p**3 + 14*p**2 + 13*p - 6. Let o(s) = 6*k(s) - 7*l(s). Does 6 divide o(b)? True Suppose v + 3*d = 7, 4*v + 13 = 6*v + 5*d. Let u(j) = 0*j + 4 + 3*j + j**2 - 2*j**2 + 3*j. Is 4 a factor of u(v)? True Let f(r) = 2*r + 36. Is 12 a factor of f(0)? True Let r = 7 - 1. Suppose -4*d - c = 1, r*d + 3*c + 12 = 3*d. Let q = 9 - d. Is 7 a factor of q? False Suppose -5*o + 5 = y + 2, 2*o = 5*y - 42. Let q be ((-6)/y)/((-5)/(-240)). Is 8 a factor of (-4)/(-18) - 568/q? True Let c(q) = q**3 - 5*q**2 + 6*q - 17. Is c(7) a multiple of 13? False Let c(b) = -11*b**3 - 2*b**2 + 1. Let d be (4 - 2)/((-6)/(-3)). Suppose a - 2*a = d. Is 10 a factor of c(a)? True Let w be 2/8 - (-62)/8. Suppose -22 - w = 5*x. Is 4 a factor of (-44)/x - 3/9? False Let x(p) = p**2 + 14*p - 9. Let n be x(-14). Let c(s) = -2*s + 4. Is 22 a factor of c(n)? True Suppose -7 - 36 = -i. Suppose 0 = -3*p - 0*r + r + i, r - 69 = -4*p. Does 10 divide p? False Let n(w) = w**3 - 2*w**2 + w - 4. Is n(3) a multiple of 5? False Let s(m) = -m**3 - 3*m**2 - m. Let q be s(-3). Let y be (-2)/q - 2/(-3). Does 3 divide y - 3/((-6)/14)? False Let v = 39 - 28. Is 14 a factor of (v/(-4))/((-2)/40)? False Suppose n - 2*u + 0*u = 0, -4*n = 2*u. Suppose n = s + 5, -4*r + 7*r + 5*s - 38 = 0. Does 8 divide r? False Let c = 1 + 7. Let p = 2 + -2. Suppose -t = -p*t - c. Is t a multiple of 3? False Suppose 5*t + 47 = -118. Let r = t + 69. Is r a multiple of 17? False Let w be -3*2/3 + 2. Suppose 2*o - 63 - 29 = w. Is o a multiple of 23? True Suppose -3*u + u = -4*b + 8, 0 = 5*b + 10. Suppose 5*f - 130 = -0*f. Let q = f - u. Does 17 divide q? True Let q(x) = x**2 + x - 7. Let t be q(-4). Suppose -8 = -d + t. Is 6 a factor of d? False Let p = 11 - 8. Let r be (-1 + p/(-1))/1. Is 6 a factor of r/(-18) + (-372)/(-27)? False Suppose 5*w + 5 = -4*p, 0*p + 50 = 5*p - 5*w. Suppose -z + 3*c - 11 = 0, z - 2*z + 14 = 2*c. Suppose p*u - 90 = z*k, u - 2*u - 4*k + 18 = 0. Does 9 divide u? True Let k be (-3)/((-6)/4) + 76. Suppose 3*n + 3*x = 57, -2*x - 4 = 4*n - k. Does 6 divide n/(-8)*(-5 + -3)? True Let t(r) = -10*r**2 + 2*r + 2. Let j be t(-3). Does 16 divide (-1)/(-3) + j/(-6)? True Suppose -3*f + 18 = 3*o, -11 - 1 = -3*o - f. Let s = 5 + o. Is (-18)/4*s/(-12) a multiple of 3? True Let w be 2*-1*3/2. Is 10 a factor of (-48)/(w*1) + 2? False Suppose -o = 3*o - 144. Let w = 74 - o. Is w a multiple of 13? False Let a(o) = 10*o - 4 - 3*o**3 - 2 - 4*o**3 + 8*o**2 + 6*o**3. Let l be a(9). Suppose l*c = 0, -i - 5*c + 22 = -0*i. Is i a multiple of 11? True Suppose -13 = -u - 6. Suppose 0 = -y + 2*l + 58, -u*l = -2*l - 5. Does 27 divide y? False Let c = 14 - 16. Let g(o) = -32*o - 1. Is 21 a factor of g(c)? True Suppose -19 - 9 = -4*u. Suppose u + 14 = 3*y. Is 7 a factor of y? True Let t be (1 + 2/(-2))/2. Suppose 0 = -t*n - n + 17. Is 11 a factor of n? False Suppose -4*h + 4 = x, 3*x = 7*x - 4*h - 96. Is 4 a factor of x? True Suppose 15*w - 546 = 399. Is w a multiple of 9? True Let y(w) = w**3 + 8*w**2 + 4. Suppose 24 = -5*q + 2*q. Let r be y(q). Suppose -r*f - 2*d + 42 = 0, -f = 2*f - 4*d - 59. Is 8 a factor of f? False Suppose 4*d = -5*m + 2*d + 59, 2*d + 18 = 2*m. Is m a multiple of 11? True Let p(f) = f**2 - 2*f - 24. Is 8 a factor of p(-6)? True Let f = 0 + -10. Let g = f - -31. Is g a multiple of 4? False Suppose -h = -5*h + 28. Let d = 31 + -2. Let l = d - h. Is 11 a factor of l? True Suppose 0 = -6*l + 8*l - 112. Is 8 a factor of l? True Let x(g) = g**2 - g - 2. Suppose -5*z = 3*k + 14, 3*k - 4*z + 8 = -k. Let l be x(k). Let h = -5 + l. Is h a multiple of 2? False Let t be 33*(2 + 0 + -1). Is 9 a factor of t/1 + 1/(-1)? False Suppose 4*y - 126 = -2*t, 3 = 3*y - t - 79. Is 13 a factor of y? False Let y(u) = 4*u - 2. Let c = 1 - -6. Does 13 divide y(c)? True Let a(j) = -j**2 - 5*j + 1. Let v be a(-5). Does 24 divide (v + 2)*335/15? False Suppose -v = 2*r + 16, 0 = 3*r + 4*v + v + 17. Let n = -33 + 46. Let i = n + r. Is i a multiple of 2? True Suppose 188 = 4*u + 4. Is u a multiple of 9? False Is 50 a factor of -375*(-5 - 23/(-5))? True Let d(p) = p**2 + p + 5. Let t be d(0). Suppose 0*l + t*b = 2*l - 29, -3*l = -5*b - 51. Let v = 54 - l. Is 16 a factor of v? True Suppose -x + q + 10 = 0, -2*x + 8 = -3*q - 9. Does 6 divide x? False Suppose -145 = -0*a - 5*a. Suppose 0 = -2*p + 3 + a. Is p a multiple of 16? True Does 4 divide (-18)/4*(-8)/6? False Let v(k) = -k**2 + 3*k + 4. Let n be v(4). Suppose n = r - 2*r + 2. Suppose 5*u = r*p - 0*u + 10, 2*u = 8. Is 5 a factor of p? True Suppose 5*v = 20, 0*v - v - 167 = -3*o. Does 25 divide o? False Is (-1203)/(-24) - (-4)/(-32) a multiple of 23? False Suppose 8*w - 5*w = 9, 3*u = -5*w + 27. Suppose 2*o - 4*o = 2*r, 2*r = 0. Suppose -5*g - 3*q + 45 = 0, u*g + g + 4*q - 50 = o. Does 6 divide g? True Let o = 4 + 16. Is 14 a factor of o? False Suppose -2*b + 3*b - 84 = 0. Does 14 divide b? True Let u = 1 + 4. Let p be (-2)/4*-4 + u. Suppose -j = 2*z - p, 0 = -z - 0*z + 5*j + 20. Is 5 a factor of z? True Suppose 6 = 5*z + 1. Let q(v) = 16*v - 4 - 3 + 5 + 3. Is q(z) a multiple of 12? False Let j = 47 - 25. Does 9 divide j? False Suppose -5*z = -2*g - 104, 0 = -z - g + 5*g + 28. Is z a multiple of 4? True Suppose 5*k - 820 = -4*z, -4*z = 3*k - 2*k - 180. Suppose k = 3*v - 26. Let s = -44 + v. Is s a multiple of 9? True Suppose -g - 5 = 0, 0*g = 5*l + 2*g - 95. Suppose u = -2*u + l. Is u a multiple of 5? False Let t(j) = -j**3 - 8*j**2 - 9*j - 9. Let s be t(-7). Let f be 2/3 + 4/(-6). Suppose g + 2*d = 10, -s*g + f*d - 3*d = -64. Is 14 a factor of g? True Let n = 298 + -101. Let i = n - 107. Suppose -j - i = -4*j. Does 19 divide j? False Let u(w) = 118*w**3 - 4*w**2 + 4*w - 1. Is u(1) a multiple of 13? True Suppose -5*m - 4*h = -161, 3*h - 43 = -m - 2. Is 7 a factor of m? False Let c = -3 + 7. Suppose a = -3*w + c*a + 153, 4*a = -w + 76. Is 28 a factor of w? True Let q be (-2)/(-8) - (-7)/4. Suppose -5*f - 5*u = -285, -q*f + 3*u + 0*u = -114. Let v = -35 + f. Is v a multiple of 9? False Let m(f) = 3*f**3 - f + 6. Let l(r) = -10*r**3 + r**2 + 3*r - 19. Let v(b) = -2*l(b) - 7*m(b). Let q be (-7)/1 + 2 + 2. Is v(q) even? True Suppose 120 = 5*n + 8*v - 3*v, -2*n - 4*v = -48. Does 9 divide n? False Let l(t) = t**3 + 2*t**2 - t + 3. Let q be l(-3). Is 2 a factor of (-2)/q - 66/(-9)? True Suppose 42 = 3*t - 7*c + 2*c, 2*t - 44 = -2*c. Is 2 a factor of t? False Let p = 467 - 258. Is 16 a factor of p? False Let p(i) = i**3 + 8*i**2 + 6*i + 6. Suppose -9 = -5*s + 1. Let b be s*(-2 - 9/6). Is p(b) a multiple of 7? False Let i(o) = -12*o - 14. Does 29 divide i(-7)? False Suppose -2*o - 12 = -4*o. Let g be o/(-15) - 184/(-10). Suppose -4*v = 2*i - g, -4*i = -3*i + 5*v. Does 8
{ "pile_set_name": "DM Mathematics" }
pose -5 = -6*u + 5*u - c, -15 = -u - 3*c. Let d(t) be the second derivative of -2*t**2 + 4*t + 5/6*t**4 - 7/3*t**3 + u + 2/5*t**5. Factor d(n). 2*(n - 1)*(n + 2)*(4*n + 1) Let j(y) be the third derivative of -5/2*y**4 + 2*y - 1/24*y**6 + 0 - 1/2*y**5 - 20/3*y**3 + 3*y**2. Factor j(t). -5*(t + 2)**3 Let h(x) be the first derivative of x**9/1512 + x**8/210 + x**7/140 - x**6/45 - x**5/15 + 3*x**3 - 20. Let i(s) be the third derivative of h(s). Factor i(j). 2*j*(j - 1)*(j + 1)*(j + 2)**2 Let a(v) = 6*v - 6. Let c be a(-9). Let w be (-12)/c + (-9)/(-5). Solve -9*b**3 + 28*b**2 - b**5 - 2*b - 35*b**2 - 7*b**4 + w*b**4 = 0. -2, -1, 0 Let u(k) be the first derivative of 0*k + 3*k**4 + 2/3*k**6 + 0*k**2 - 12/5*k**5 - 4/3*k**3 - 18. Factor u(f). 4*f**2*(f - 1)**3 Suppose 30*o - 58 = 62. Let z be -4*((-21)/10 - -2). Factor 0 + 2/5*x**2 + 0*x + 2/5*x**3 - 2/5*x**5 - z*x**o. -2*x**2*(x - 1)*(x + 1)**2/5 Let y = -326/19 - -1687/95. Factor 0 + 9/5*q**2 + y*q. 3*q*(3*q + 1)/5 Let f(m) be the first derivative of -3/2*m**2 - 2/21*m**3 + 5/84*m**4 + 0*m + 6 + 1/30*m**5. Let n(o) be the second derivative of f(o). Factor n(r). 2*(r + 1)*(7*r - 2)/7 Let q be (0 + 3/(-7))/(9/(-2169)). Let g = q + -103. Suppose 1/7 + 1/7*m**2 + g*m = 0. Calculate m. -1 Let u(n) be the third derivative of n**6/240 + 7*n**5/40 - 15*n**4/16 + 23*n**3/12 + 553*n**2. Factor u(t). (t - 1)**2*(t + 23)/2 Suppose 16*k - 22 = 10. Let u(r) be the second derivative of 1/240*r**6 + 0*r**k + 0*r**3 + 0 + 4*r + 0*r**4 - 3/160*r**5. Factor u(m). m**3*(m - 3)/8 Let h be (-10)/85 + 5 + 179178/(-36720). Let l(y) be the third derivative of 1/12*y**3 + h*y**5 + 3*y**2 + 1/36*y**4 + 0 + 0*y. Determine f so that l(f) = 0. -3, -1 Let u(r) be the third derivative of -5*r**8/112 - 27*r**7/70 - r**6/4 - 168*r**2 - 2. Factor u(v). -3*v**3*(v + 5)*(5*v + 2) Let b(a) be the first derivative of 7 - 3/11*a - 4/11*a**3 - 3/22*a**4 - 1/55*a**5 - 5/11*a**2. Determine w so that b(w) = 0. -3, -1 Let o(v) be the second derivative of -1/150*v**6 - 11/30*v**3 - 1/100*v**5 + 3/20*v**4 + 0 + 3*v + 2/5*v**2. Factor o(y). -(y - 1)**3*(y + 4)/5 Let h(v) = -4*v**2 - 32*v + 4. Let y be h(-8). Let w(r) be the first derivative of -2*r + 0*r**3 + 2/5*r**5 + r**y - 3 - 2*r**2. Solve w(a) = 0 for a. -1, 1 Let c(g) be the third derivative of 0 + 0*g**4 + 0*g - 7*g**2 + 1/70*g**7 + 0*g**3 - 1/20*g**5 + 0*g**6. Factor c(o). 3*o**2*(o - 1)*(o + 1) Let m(o) be the first derivative of o**3/3 - 9*o**2 + 65*o - 221. Factor m(z). (z - 13)*(z - 5) Let i be (5 - 1056/225)*-21. Let o = 2371/275 + i. Factor 2/11*k**3 - 16/11 - 12/11*k**2 + o*k. 2*(k - 2)**3/11 Let p(i) be the third derivative of -i**8/112 - i**7/6 - 5*i**6/4 - 9*i**5/2 - 45*i**4/8 + 27*i**3/2 + 33*i**2. What is c in p(c) = 0? -3, 1/3 Let a(r) = -r**2 - 2*r. Let t be a(0). Let p(x) = x + 7. Let f be p(-5). Determine o, given that -14/9*o**4 + 2/3*o**5 + 2/3*o**f + t + 2/3*o**3 - 4/9*o = 0. -2/3, 0, 1 Let n(l) = 3*l**2 + 417*l + 5837. Let o(y) = -4*y**2 - 624*y - 8756. Let w(d) = 8*n(d) + 5*o(d). Factor w(u). 4*(u + 27)**2 Determine x so that -33/4*x - 1/4*x**2 - 8 = 0. -32, -1 Let c = -2 + 3. Let s(j) = -j**5 - 17*j**4 + 13*j**3 + 5. Let m(u) = -u**5 - u**4 + u**3 + 1. Let p(w) = c*s(w) - 5*m(w). What is g in p(g) = 0? 0, 1, 2 Let t(y) be the third derivative of y**8/84 - 10*y**7/21 + 53*y**6/15 - 116*y**5/15 - 44*y**4/3 + 320*y**3/3 - 38*y**2 + 2. Factor t(h). 4*(h - 20)*(h - 2)**3*(h + 1) Let r(t) = 4*t**2 + 10*t + 2. Let x be r(-4). Suppose -38*n = -x*n. Find v such that n*v**2 - 1/8*v**4 + 1/8*v**3 + 0*v + 0 = 0. 0, 1 Let j(a) be the first derivative of a**4/26 - 22*a**3/39 + 35*a**2/13 - 50*a/13 + 134. Factor j(h). 2*(h - 5)**2*(h - 1)/13 Let k(b) be the third derivative of -b**7/42 + b**6/6 - 5*b**5/12 + 5*b**4/12 - 25*b**2. Factor k(t). -5*t*(t - 2)*(t - 1)**2 Let g be 2*2/(8/6). Let b = 4 + 0. What is o in 0*o - 2 - 4*o + 2*o**g + o**4 + 2*o**3 + o**b = 0? -1, 1 Let u(r) be the third derivative of r**7/105 + 7*r**6/30 - 31*r**5/30 + 4*r**4/3 - 329*r**2. Factor u(n). 2*n*(n - 1)**2*(n + 16) Let x be -4*-4*(-8)/(-64)*2. Let i(j) be the second derivative of -1/45*j**5 + 1/18*j**x + 1/18*j**2 - 2/27*j**3 + 1/270*j**6 + 12*j + 0. Factor i(n). (n - 1)**4/9 Let j(q) be the first derivative of -3*q + 0*q**2 + 1/6*q**4 + 6 - 2/3*q**3. Let k(s) be the first derivative of j(s). Factor k(d). 2*d*(d - 2) Let v = -41/2 - -85/4. Let l(a) be the first derivative of -7/2*a**2 + 2*a + v*a**4 + 2/3*a**3 + 6. Factor l(q). (q - 1)*(q + 2)*(3*q - 1) Let p(c) = -14*c**2 - 50*c + 28. Let f(x) = -2*x**2 - 3*x - 1. Let n(y) = -4*f(y) + 2*p(y). What is a in n(a) = 0? -5, 3/5 Let d(b) be the second derivative of 5*b**4/12 - 10*b**3/3 + 11*b. Let d(r) = 0. What is r? 0, 4 Suppose 0 = 51*f - 112 - 92. Let c(p) be the second derivative of 10*p + 17/4*p**3 + 0 - 7/4*p**f + 9/40*p**5 - 9/2*p**2. Factor c(j). 3*(j - 3)*(j - 1)*(3*j - 2)/2 Let l = 35 + -33. Factor -3*p**4 - 3*p**2 + 6*p**l - 6*p + 3*p**2 + 3*p**2. -3*p*(p - 1)**2*(p + 2) Solve -k**4 - 29/2*k**2 + 21/2*k + 15/2*k**3 - 5/2 = 0. 1/2, 1, 5 Suppose 7*m - 8437 = 8055. Solve -g**2 + g**3 + 2356 + g**4 - g - m = 0. -1, 0, 1 Let q(u) be the first derivative of u**3/24 + u**2/16 - u/4 + 196. Factor q(f). (f - 1)*(f + 2)/8 Let a(q) be the first derivative of -q**4/34 - 32*q**3/17 - 768*q**2/17 - 8192*q/17 - 26. Factor a(d). -2*(d + 16)**3/17 Solve 0 + 1760/7*r**2 + 1600/7*r + 4/7*r**4 + 164/7*r**3 = 0 for r. -20, -1, 0 Let o(g) be the third derivative of 2809*g**5/20 + 159*g**4/4 + 9*g**3/2 + 2*g**2 - 321*g. Find a such that o(a) = 0. -3/53 Suppose -7 + 1 = -3*t. Let i = 50 + -48. Factor -t*c**i - 4/3*c + 2/3. -2*(c + 1)*(3*c - 1)/3 Let g(p) be the second derivative of -8*p**6/15 + 4*p**5/5 + 5*p**4/8 + p**3/6 + 15*p**2 + 16*p. Let c(d) be the first derivative of g(d). Factor c(w). -(w - 1)*(8*w + 1)**2 Let l(i) = -i**2 - 40*i - 6. Let d(c) = -41*c - 5. Let f(p) = 3*d(p) - 4*l(p). Factor f(q). (q + 9)*(4*q + 1) Let u(l) be the third derivative of -l**8/1512 - l**7/945 + 2*l**6/135 + 2*l**5/45 - 22*l**2. Find n such that u(n) = 0. -2, 0, 3 Let t = -1773/14 - -1779/14. Solve 0 + 24/7*q - t*q**2 = 0. 0, 8 Let k(y) = y**3 - 3*y**2 - 5*y + 6. Let z be k(4). Suppose 9*f - 2*f - 14 = 0. Determine c, given that -7*c + 2*c + 0*c**f + c + 6 - 2*c**z = 0. -3, 1 Let i(q) be the first derivative of 3/2*q**2 + 3/8*q**4 + 0*q - 16 - 3/2*q**3. Factor i(n). 3*n*(n - 2)*(n - 1)/2 Let o(u) be the second derivative of 49*u**7/12 - 637*u**6/60 + 189*u**5/20 - 23*u**4/6 + 2*u**3/3 + 2*u + 5. Find w such that o(w) = 0. 0, 2/7, 1 Let a = -81 - -83. Determine o, given that 0*o**2 + 262*o + 45 - 292*o + 3*o**2 + 2*o**a = 0. 3 Determine s so that 6/5*s**4 - 96/5 + 0*s**2 - 24/5*s**3 + 96/5*s = 0. -2, 2 Let c(w) be the first derivative of 14*w**3/3 + 7*w**2 - 1. Suppose -5*j = -j - 44. Let u(b) = -5*b**2 - 5*b. Let v(a) = j*u(a) + 4*c(a). Solve v(m) = 0 for m. -1, 0 Let y(b) = -4*b**5 + 7*b**3 - 9*b**2 - 3*b - 3. Let v(i) = 7*i**5 - 14*i**3 + 17*i**2 + 5*i + 5. Let s(r) = 3*v(r) + 5*y(r). Let s(k) = 0. Calculate k. -3, 0, 1, 2 Suppose 10 = -729*j + 731*j. Let r(p) be the second derivative of 0*p**4 - 13*p + 1/4*p**j + 0*p**2 + 0*p**3 + 0. Factor r(q). 5*q**3 Let g be 214/8 + -5*27/(-45). Let y = g + -29. Factor 0 - 3/4*h + y*h**2. 3*h*(h - 1)/4 Suppose 5*i - 16 = i + t, 3*t = 4*i - 8. Suppose -3*p = 2*r + 6, 0 = -i*r - 4*p + 4 - 5. Factor 3 + 3*s**3 - 3 - 2*s**r. s**3 Let j(i) be the second derivative of -i**4/12 + 8*i**2 - i - 5. Factor j(b). -(b - 4)*(b + 4) Let i(g) be the second derivative of g**7/14 + 7*g**6/10 + 9*g**5/20 - 23*g**4/4 - 16*g**3 - 18*g**2 + 72*g. Suppose i(d) = 0. Calculate d. -6, -1, 2 Let v(k) be the second derivative of -k**5/4 - 25*k**4/4 - 125*k**3/2 - 625*k**2/2 - 480*k. Factor v(x). -5*(x + 5)**3 Factor -6*v**2 + 3/2*v + 6*v**3 + 0. 3*v*(2*v - 1)**2/2 Let v(a) = -76*a - 527. Let z be v(-7). Let n(w) be the first derivative of -z + 2/5*w**5 + 4/3*w**3 + 1/18*w**6 + 2/3*w**2 + 13/12*w**4 + 0*w. Solve n(k) = 0. -2, -1, 0 Let f(r) be the first derivative of -r**3/3 + 9*r**2 - 4. Factor f(d). -d*(d - 18) Let g(s) = 21*s**3 + 151*s**2 + 481*s + 576. Let q(r) = r**4 - r**3 - 3*r**2 - r. Let y(d) = 5*g(d) + 5*q(d). Let y(u) = 0. What is u? -6, -4 Let s(l)
{ "pile_set_name": "DM Mathematics" }
pose -h = -o*n + 568. Calculate the remainder when n is divided by 35. 30 Let s be (-6)/21 - (0 - 326/14). Suppose 0 = -s*z + 24*z. What is the remainder when 7 is divided by z - (-3)/(-9)*-3? 0 Let y = -526 - -530. Suppose 2*k = -3*h + y*k + 24, -k - 15 = -2*h. What is the remainder when 42 is divided by h? 0 Let z(j) = j**2 - 46*j - 1553. What is the remainder when z(-23) is divided by 13? 8 Suppose -12460 = 12*p - 13108. What is the remainder when 965 is divided by p? 47 Let f(q) = -q**3 - 6*q**2 + 889*q - 64. What is the remainder when 1955 is divided by f(-33)? 1 Let f(t) = 12*t - 524. Calculate the remainder when f(53) is divided by 76. 36 Let c(g) = 3*g - 3. Suppose 85*p + 388 = 81*p. Let j = -91 - p. Calculate the remainder when c(6) is divided by j. 3 Let t be -112*(6 - 102/12). Let h = -248 + t. What is the remainder when 191 is divided by h? 31 Let w = 2175 + -1780. What is the remainder when w is divided by 44? 43 Suppose -h - 8 - 20 = m, -h = -4*m - 112. What is the remainder when 38 + m/(-7) - -5 is divided by 12? 11 Let p be 760/50 - (1 - (-9)/(-5)). Let k(u) = -u**3 + 13*u**2 + 51*u - 39. Calculate the remainder when 42 is divided by k(p). 6 Suppose 0 = -3*s, 4*d - 4*s - 228 = 5*d - 5*d. Calculate the remainder when 621 is divided by d. 51 Let f(j) = -2*j + 11. Let t = -24 + 18. Let u be f(t). Suppose -2*y - 8 = -2*c, 5*y - u = c - 7. Calculate the remainder when 14 is divided by c. 5 Suppose 5 = r - 4*m - 6, -61 = -2*r - 5*m. Let a be ((-610)/5)/(2/5). What is the remainder when a/(-7) - (-12)/(-21) is divided by r? 20 Let z = 13768 - 11329. Calculate the remainder when z is divided by 98. 87 Let h = -152 - -106. Let c = h - -48. What is the remainder when (-37)/(c/(-4)*1) is divided by 26? 22 Suppose 5*v + 5*m = 0, 0 = -v - 6*m + 9*m - 8. What is the remainder when (v - -23)*(-504)/(-108) is divided by 26? 20 Calculate the remainder when 1542 is divided by 312 + (-14)/(-4) + 1545/(-206). 2 Let s(f) = -379*f - 362. What is the remainder when 20517 is divided by s(-1)? 15 Let z = -72 + 105. Suppose 8*k - 9 = -z. Calculate the remainder when 36 is divided by (-2 + (-18)/k)*(9 - 4). 16 Let y(o) = 3*o**3 + o**2 - o. Let r be y(1). Suppose 2*l + r*l = 125. Suppose 12332 = 97*q - 9299. What is the remainder when q is divided by l? 23 Let s be (38/(-42) - -1) + (-33195)/(-63). Let y = s - 510. What is the remainder when 19 is divided by y? 2 Let m(u) = u**2 + 2. Let b(d) = d**3 - 10*d**2 + 3*d - 22. Suppose 22 = 3*q + 2*k, 4*q + 2*k + 3*k = 20. Calculate the remainder when m(3) is divided by b(q). 3 Let m(z) = 8*z - 74. Let b = -292 - -307. Calculate the remainder when m(b) is divided by 25. 21 Let p(k) = 22*k**3 - 3*k**2 - 6*k + 67. Let b(u) = 19*u**3 - 3*u**2 - 5*u + 68. Let a(z) = 7*b(z) - 6*p(z). Calculate the remainder when a(0) is divided by 26. 22 Suppose -33*h + 3552 - 615 = 0. Let p = -44 + 75. What is the remainder when h is divided by p? 27 Let s(g) = 69*g**2 + 677*g - 2. Calculate the remainder when 4221 is divided by s(-10). 125 Let x = 15862 + -15778. Calculate the remainder when 3442 is divided by x. 82 Let s = -2810 - -2827. What is the remainder when 1631 is divided by s? 16 Let v = 13974 + -13398. What is the remainder when 583 is divided by v? 7 Let v = 22 + 33. Suppose 6 = 2*f - 4. Suppose 0 = o + m - 19, 2*o - f*o = 2*m - 57. Calculate the remainder when v is divided by o. 17 Suppose 5*d + 3 + 2 = 0, -2*d = 2*w - 290. Suppose 0 = h - 3*i - 67, 2*i + w = 2*h - 0. What is the remainder when h is divided by 18? 4 Let q(b) = -6*b - 144. What is the remainder when 495 is divided by q(-25)? 3 Let a be 26/10 - 2/(-5). Let y(h) be the third derivative of -h**5/60 + h**4/3 - h**3/3 + 3*h**2 + 25*h. Calculate the remainder when 75 is divided by y(a). 10 Let l = 86 - 85. What is the remainder when 188 is divided by 7/((-21)/(-198)) - l? 58 Let a(d) = -4*d - 2. Let n be a(-12). Suppose 0*t + 2*t = n. What is the remainder when t is divided by 8? 7 Let o be (-10 - 2278)*(-4)/(3 - -5). Suppose -5*r - 3*z + o = 267, 3*r = -z + 527. Calculate the remainder when r is divided by 92. 84 Let n(q) = q**2 + 6*q + 13. Let h be n(-3). Let l be ((-1)/h)/(4/992*-2). Let m = l - 20. Calculate the remainder when m is divided by 6. 5 Let p = 29886 + -29322. What is the remainder when p is divided by 51? 3 Let d = 2685 - 1534. What is the remainder when d is divided by 33? 29 Let m = 38 + -25. What is the remainder when ((-2)/12)/1 - (-28455)/630 is divided by m? 6 Let p be (-1 + -1)/(-2 - -1)*10. Suppose -p = -5*s + 160. Suppose 6*n = n + y + 60, -s = -3*n + 3*y. What is the remainder when n is divided by 7? 5 Suppose 13*h = 103*h - 11520. Calculate the remainder when 1349 is divided by h. 69 Suppose 1489*q - 1513*q = -5328. What is the remainder when 443 is divided by q? 221 Let n(l) = 2*l**2 + 18*l - 37. Let y = 177 + -191. What is the remainder when n(y) is divided by 53? 50 Suppose -514 = -7*x + 1348. Suppose -15 = -5*s - 4*i, 0 = s - 6*s + 5*i + 15. Suppose 11*c - x = -s*c. What is the remainder when 169 is divided by c? 17 Suppose 9*n = -30 + 84. Suppose -862 = -n*l - 10. What is the remainder when l is divided by 38? 28 Suppose v = u - 4*u + 316, 200 = 2*u - 2*v. Suppose 0*a - u = -13*a. What is the remainder when 34 is divided by a? 2 Let d(z) = -z**2 - 38*z - 298. Calculate the remainder when 2240 is divided by d(-13). 26 Let x(b) = b**2 - 30*b - 24. Suppose 12*y - 195 - 177 = 0. What is the remainder when x(y) is divided by 1? 0 Let j = 50 + -51. Suppose -5*a - 5*q + 90 = 0, 2*q - 5 + 65 = 4*a. What is the remainder when j/4 + 1316/a is divided by 29? 24 Let a be 0/((-28)/(-16) - (-1)/4). Suppose a = t - 5*t. Suppose -4*g + 0*g - v + 21 = t, 5*g - 25 = -v. Calculate the remainder when 15 is divided by g. 3 Let t = 43 + -7. Let w(p) = -3*p + 70. Let z be w(22). Suppose -5*l = 2*n - n - 100, 3*l = z*n + 60. Calculate the remainder when t is divided by l. 16 Let m(g) = 255*g - 2253. Calculate the remainder when m(10) is divided by 83. 48 Let j(s) = s**2 - 12*s + 16. Suppose 0*g + 2*g = 22. Suppose 0 = 208*z - 198*z - 20. What is the remainder when j(g) is divided by z? 1 Let u be 59/4 - 4/(-16). Suppose 8*m - u*m = -91. Calculate the remainder when m is divided by 3. 1 Let w = 37 + 37. Suppose -4*h + m = -81 + 1, m = 0. Calculate the remainder when w is divided by h. 14 Let m = 4247 - 2318. Suppose -312 - m = -9*t. Suppose 0 = -16*j + t + 215. What is the remainder when 115 is divided by j? 28 Calculate the remainder when (-8 - -76) + -13 + 12 + 7 is divided by 1 - 2 - 8/(-1). 4 Let j be (-5 - -2)/(3 + 171/(-58)). Let r = -51 - j. Let t(k) = -3*k**2 + 23*k + 10. What is the remainder when t(r) is divided by 13? 11 Suppose 0 = -13*c - 23 + 1843. Calculate the remainder when (-2)/(-7) + 25300/c is divided by 17. 11 Let q be 56/3*(-11)/(-2)*3. What is the remainder when 195 is divided by -4 + q/20 + (-6)/15? 8 Let f(l) = -5445*l - 59874. Calculate the remainder when ((-76)/1)/((-1)/8) is divided by f(-11). 20 Suppose -3*p = 5*f - 339, -10*p + 12*p + 4*f - 226 = 0. Calculate the remainder when p is divided by 62. 51 Let y = 5 - 2. Let o(z) = -25*z + 54. Let s(r) = -33*r + 55. Let f(j) = 4*o(j) - 3*s(j). Calculate the remainder when f(22) is divided by y. 2 Let p = 1133 + -1087. What is the remainder when 244 is divided by p? 14 Suppose -9*b + 23*b + 49712 = 66*b. What is the remainder when 2905 is divided by b? 37 Suppose p + 13*f - 18*f = 221, -2*p + f = -487. Suppose -p = -5*b + 164. Calculate the remainder when b is divided by 2. 0 Suppose 5*b = -2*d + 185, 2*d - 109*b + 108*b = 203. Calculate the remainder when d is divided by (-718)/(-14) + (-10)/35. 49 Let t(q) = -15*q**3 - 2*q**2 - 72*q - 189. What is the remainder when t(-3) is divided by 55? 29 Let w(f) = 9*f**2 + 4*f + 1. Let t be w(-1). What is the remainder when 118 is divided by 8 + (t - 10 - 16/(-2))? 10 What is the remainder when 156/(-24)*(-24 + 2) is divided by 8? 7 Let z be (198/(-27))/((-4)/6). Suppose -20 = 9*g - z*g. Calculate the remainder when 22 is divided by g. 2 Suppose 22*c = 26*c - u - 73, u - 22 = -c. Suppose 1819 = -2*v + c*v. Calculate the remainder when v is divided by 30. 17 Let r(w) = 228*w + 474. What is the remainder when 104 is divided by r(-2)? 1
{ "pile_set_name": "DM Mathematics" }
lect the terms in -1221*o + 211*o - 2938*o - 4*o**2. -4*o**2 - 3948*o Collect the terms in 14870*m - 7430*m - 7422*m. 18*m Collect the terms in -45*c + 158*c - 118*c + 2*c**3 + 5*c. 2*c**3 Collect the terms in -1075*s + 2103*s - 1037*s. -9*s Collect the terms in -33 + 117 - 37 + 118 + x**3. x**3 + 165 Collect the terms in 4 + 0 - 71*l - 4 - 259*l. -330*l Collect the terms in 6*l - l + 34*l**2 - 2*l + 0*l. 34*l**2 + 3*l Collect the terms in -1025*j**3 + 1085*j**3 + 3 - 3. 60*j**3 Collect the terms in 4*x + 9*x - 5*x - 12*x. -4*x Collect the terms in 113 - 43*o**2 - 113 + 2*o**2. -41*o**2 Collect the terms in 34069*q**3 - 34072*q**3 - 126 - 126. -3*q**3 - 252 Collect the terms in 12*p - 3*p - 5*p - 9848. 4*p - 9848 Collect the terms in 144*v - 344*v + 61*v + 136*v. -3*v Collect the terms in -5929*o**2 - 7*o**3 + 5929*o**2. -7*o**3 Collect the terms in -3 - 6 + 9 - 137558*t**2. -137558*t**2 Collect the terms in 46949981*n + 0 + 0 - 46949964*n. 17*n Collect the terms in -4 - 3631*x + 7308*x - 3683*x + 4. -6*x Collect the terms in -7547*a**2 - 1 - 1 + 2. -7547*a**2 Collect the terms in -129*d**2 + 12*d**2 - 34 - 5*d**2 + d. -122*d**2 + d - 34 Collect the terms in 67868633*o**2 - 67868633*o**2 + o**3. o**3 Collect the terms in -5709*c**2 + 17174*c**2 - 5690*c**2 - 5698*c**2. 77*c**2 Collect the terms in -2182202*u**2 + 11*u**3 + u - 24*u**3 + 2182202*u**2. -13*u**3 + u Collect the terms in -790*r + 1480*r - 793*r. -103*r Collect the terms in 18*i - 195501*i**3 - 18*i + 195497*i**3. -4*i**3 Collect the terms in 5*a + 9*a - 21*a + 10*a + 4*a + 10*a + 1. 17*a + 1 Collect the terms in 2*l - 15*l - 8*l - 5*l. -26*l Collect the terms in 2855 + 2*w - 2*w - 2862 + w. w - 7 Collect the terms in -253*m**2 + 197*m**2 - 511*m**2 - m. -567*m**2 - m Collect the terms in -252*v + 521*v - 252*v. 17*v Collect the terms in 518*f - 1 - 3 - 2*f**2 + 4. -2*f**2 + 518*f Collect the terms in 3118*f - 11172*f - 2946*f. -11000*f Collect the terms in -1 + 1 - 307*r**2 - 1543*r**2. -1850*r**2 Collect the terms in 6*t**3 - 816 + 816 + 2679*t**2 - 2679*t**2. 6*t**3 Collect the terms in 2*b**3 - 241232 + 241232 + 48*b**2. 2*b**3 + 48*b**2 Collect the terms in -19 - 1748*r + 2 + 17 + 1749*r. r Collect the terms in 91*f + 91*f + 90*f - 356*f + 87*f. 3*f Collect the terms in -728712*b**2 + 3*b + 728693*b**2 - 3*b. -19*b**2 Collect the terms in -21 + 6*q**2 - 34 + 71 - 16. 6*q**2 Collect the terms in -7*y**2 - 18033 - 16*y**2 + 18033. -23*y**2 Collect the terms in 133*m**3 + 144*m**3 + 145*m**3 - 421*m**3. m**3 Collect the terms in -4*u**2 + 69254691*u - 69254691*u. -4*u**2 Collect the terms in 310*a - 5 + 304*a + 5 - 597*a. 17*a Collect the terms in 1024*q**3 - q - 1958*q**3 + 936*q**3 + q. 2*q**3 Collect the terms in 301 + 97*v + 300 - 907 + 306. 97*v Collect the terms in -9009*p - 8983*p + 17968*p. -24*p Collect the terms in 33*b**2 - 4 - 4*b - 18 + 4*b + 24. 33*b**2 + 2 Collect the terms in -61*c - 578*c + 47*c. -592*c Collect the terms in 1443*m + 9*m**3 - 10*m**3 - 1530*m + 5985*m. -m**3 + 5898*m Collect the terms in -7*w**2 - 8*w**2 - 7*w**2 + 39*w**2 - 13*w**2. 4*w**2 Collect the terms in -2101*y**2 + 4210*y**2 - 41*y**3 - 2109*y**2. -41*y**3 Collect the terms in 9253*o**2 - 4587*o**2 - 4666*o**2 + 3*o**3. 3*o**3 Collect the terms in 364*l**2 - 172*l**2 - 184*l**2. 8*l**2 Collect the terms in 1220601*h - 2441195*h + 1220596*h. 2*h Collect the terms in 112 - 61 - 52 + 3624*u. 3624*u - 1 Collect the terms in -7351*k**3 + 7358*k**3 - 249*k + 249*k. 7*k**3 Collect the terms in -154*r**3 - 13*r**2 - 10*r**2 + 152*r**3 + 23*r**2. -2*r**3 Collect the terms in 375*w + 368*w - 743*w - 365*w**3. -365*w**3 Collect the terms in 34*o - 56*o + 22*o - 25*o**3. -25*o**3 Collect the terms in -8 + 12922*y - 25842*y + 12923*y. 3*y - 8 Collect the terms in 14*k - 1607*k**3 - 14*k - 3. -1607*k**3 - 3 Collect the terms in 60*s**3 + 274*s**3 - 83*s**3 - 10*s**3 + 409*s**3. 650*s**3 Collect the terms in 7 - 16 + 0 + 9 - 56*z**2. -56*z**2 Collect the terms in -4 - 51*o**3 - 251 + 75*o**3. 24*o**3 - 255 Collect the terms in -4 - 32*u + 3 + 37*u - 67*u. -62*u - 1 Collect the terms in 0*y**2 - 59*y - 58*y + 113*y - 2*y**2. -2*y**2 - 4*y Collect the terms in 20*z**2 - 25*z**2 - 28*z**2. -33*z**2 Collect the terms in -36*i - 34*i - 90*i. -160*i Collect the terms in -7*y - 2*y + 4*y + 8*y + 2*y. 5*y Collect the terms in 68*i - 2 + 2 - 6 + 6. 68*i Collect the terms in 117*f + 1 - 54*f + 13 - 61*f - 4. 2*f + 10 Collect the terms in -2*x + 715*x**2 - 697*x**2 + 2*x. 18*x**2 Collect the terms in 1002*t**2 - 1 - 2202*t**2 + 1007*t**2. -193*t**2 - 1 Collect the terms in 21 + 52*b**2 + 2*b - 21 - 35*b**3 - 52*b**2. -35*b**3 + 2*b Collect the terms in 3 - 1184*c**3 + 634*c**3 - 4. -550*c**3 - 1 Collect the terms in -49 - 1334*x**2 + 49. -1334*x**2 Collect the terms in 444460*q - 222233*q - 222245*q. -18*q Collect the terms in 331*w**2 - 2*w**3 - 2*w**3 + 1196*w**2 - 1527*w**2. -4*w**3 Collect the terms in -12*n**2 + 892 - 131 + 13*n**2. n**2 + 761 Collect the terms in 90448 + 90577 - 181025 - g**3. -g**3 Collect the terms in -166*i - 50 + 50 - i**2. -i**2 - 166*i Collect the terms in 6*u**2 - 62*u**2 + 51*u**2. -5*u**2 Collect the terms in 51 + 48 + i - 105. i - 6 Collect the terms in 30*j + 37*j - 112*j + 46*j. j Collect the terms in 150 - j**2 - 60 + 7*j**2 - 30 - 60 - 4*j**2. 2*j**2 Collect the terms in -263 + 531 - 5*d - 268 - 31*d. -36*d Collect the terms in 1 - 3 - d + 4*d + 3*d + 8. 6*d + 6 Collect the terms in 347 + 139*j**3 - 347 - 114*j**3. 25*j**3 Collect the terms in -43*m - m + 0*m - 26 + 40*m + 26. -4*m Collect the terms in -9400 + 7*w**2 + 9400 - 5*w**2. 2*w**2 Collect the terms in -5*g**3 + 7*g**3 + 9*g**3 + 5*g**3. 16*g**3 Collect the terms in -69*x**2 - 9*x**3 + 46*x**2 - 22*x**2 + 45*x**2. -9*x**3 Collect the terms in 37 - 31 + 21 + 6*g - 27. 6*g Collect the terms in -845 - 769 + 184 - 2*k**2. -2*k**2 - 1430 Collect the terms in c**2 - 3*c**2 + 5 - 3*c**2. -5*c**2 + 5 Collect the terms in -37*q**2 + 4*q - 2*q + 13*q**2 - 12 + 12. -24*q**2 + 2*q Collect the terms in 798*z**3 + 845*z**3 - 1657*z**3. -14*z**3 Collect the terms in 4*c + 157 + 4*c + 0*c - 9*c. -c + 157 Collect the terms in 6*r**3 - 8*r**3 - 6*r**3 + 11*r**3. 3*r**3 Collect the terms in 1629*a**3 + 0 - 3236*a**3 + 0 + 1603*a**3. -4*a**3 Collect the terms in -253*s**2 - 488*s**2 + 986*s**2 - 247*s**2. -2*s**2 Collect the terms in 43021858 - 43021858 - 100*w. -100*w Collect the terms in -245 + 82 - 7*j + 81 + 82. -7*j Collect the terms in -35*g - 40*g - 19*g + 15*g + 10*g. -69*g Collect the terms in -6188*y**2 + 12360*y**2 - 6180*y**2. -8*y**2 Collect the terms in -93*g**2 - 4 + 2 + 1543*g - 1541*g. -93*g**2 + 2*g - 2 Collect the terms in 148*f**2 + 51*f**2 - 101*f**2 + 289*f**2. 387*f**2 Collect the terms in -6*a**2 + 4 + 0 + 3*a**2 - 6*a**2. -9*a**2 + 4 Collect the terms in -32 + 4232*q**2 + 32 + 1968*q**2. 6200*q**2 Collect the terms in 26*g**3 + 1402*g - 1402*g. 26*g**3 Collect the terms in 21758*p**2 + p**3 + 23736*p**2 + 46016*p**2. p**3 + 91510*p**2 Collect the terms in 59*x**2 + 70*x**2 - 5*x**2. 124*x**2 Collect the terms in -171*k**2 - 158*k**2 - 48*k**2 + 60*k**2. -317*k**2 Collect the terms in -488*t**2 - 533*t**2 + 1367*t**2 - 640*t**2. -294*t**2 Collect the terms in -131*n**3 - 3*n**2 + 3 - 24*n**2 + 27*n**2. -131*n**3 + 3 Collect the terms in 275*r + 255*r - 590*r. -60*r Collect the terms in -7*i**3 - 137*i**3 + 29*i**3. -115*i**3 Collect the terms in -9*j - 5*j - 7*j + 18*j + 6*j - 2*j. j Collect the terms in -3*z + 67*z - 20*z + 4*z + 13*z**3 - 48*z. 13*z**3 Collect the terms in -177*j**3 - 2 + 2 - 208*j**3 + 355*j**3. -30*j**3 Collect the terms in 22*p**3 - 153*p**3 + 15*p**3 + 114*p**3. -2*p**3 Collect the terms in -101*o + 154*o + 254*o. 307*o Collect the terms in -510*s - 507*s - s**3 - 2*s**2 + 1017*s + 6*s**3. 5*s**3 - 2*s**2 Collect the terms in 2058 - 1031 - 4*a**3 - 1027 - 7*a**3. -11*a**3 Collect the terms in -77*g**2 - 78*g**2 + 16 - 16 + 152*g**2. -3*g**2 Collect the terms in 2176*y**2 + 32*y - 32*y - 2176*y**2 + 2*y**3. 2*y**3 Collect the terms in 564*h**3 + 0*h**2 - h**2 - 590*h**3. -26*h**3 - h**2 Collect the terms in -539855*b + 1079795*b - 539914*b. 26*b Collect the terms in -6 - 3*g + 3 + 4 + 6*g
{ "pile_set_name": "DM Mathematics" }
(a) 0 (b) 5/2 (c) 7 (d) -1/8 (e) 3/11 (f) -0.7788 b Which is the third smallest value? (a) -1 (b) 9/217 (c) 867 c Which is the second smallest value? (a) -0.465 (b) -3 (c) -4/7 (d) -3793 (e) 4/9 b Which is the biggest value? (a) -22172 (b) 2/9 (c) 2 (d) 0.1 (e) -1/5 c Which is the fourth biggest value? (a) 0.5 (b) 2 (c) 1498 (d) 1461 a What is the third smallest value in -4, -0.759520583, -5? -0.759520583 What is the second biggest value in 2/13, -23, 35/2441? 35/2441 What is the third biggest value in -2, 4, -5422? -5422 Which is the fifth smallest value? (a) 10 (b) 4 (c) 1/30 (d) 38/23 (e) -4 a Which is the fourth biggest value? (a) 3 (b) -2 (c) -24289/60 (d) -5 c What is the fifth biggest value in -0.5, 1/6, -31, -204159, -0.4? -204159 What is the second biggest value in -0.11069, -22, 2/5? -0.11069 What is the third smallest value in -1, -0.82, 54, -0.08, 5, 0.3? -0.08 Which is the third biggest value? (a) 406 (b) -16 (c) -145.6 c What is the fifth smallest value in -1/9, 0.4, -4.66, 3, 5/3? 3 What is the biggest value in -1/4, -0.023, -2/13, 3, -3, -71? 3 Which is the sixth smallest value? (a) 387 (b) 0.049 (c) -0.0329 (d) 2 (e) -4 (f) -2 a Which is the fifth smallest value? (a) -5 (b) 4.1 (c) 315 (d) 0 (e) -2/13 (f) -82 b Which is the smallest value? (a) 1/91 (b) 10 (c) -16 (d) 3 c Which is the fourth smallest value? (a) -48 (b) -1/34 (c) 0.3 (d) -0.1 (e) 1/10 (f) -1/2 b What is the biggest value in -15, 2, -1/10, 0.2, -28/475? 2 Which is the fourth biggest value? (a) 0.2 (b) 3 (c) -156352 (d) 24/11 c What is the biggest value in 8, -103, 1/246? 8 Which is the second biggest value? (a) 2/7 (b) 4/3 (c) -1.7 (d) 0 (e) -3 (f) 0.5 (g) -3982 f Which is the fourth biggest value? (a) 2/15 (b) -2 (c) -752 (d) -0.08 (e) 4/3 b Which is the second biggest value? (a) -10/9 (b) -317 (c) -1131/7 c What is the second smallest value in -8, -5, -1.7, 0.1, -9, 3, -45/8? -8 What is the third biggest value in -15, -1, 1.5422, -2/9, -2, 1/2? -2/9 Which is the seventh smallest value? (a) -179 (b) 3 (c) 0.73 (d) -0.2 (e) -1 (f) 0.3 (g) 0.04 b What is the second biggest value in 1/8, -108, 3, 3/7, 40? 3 Which is the fourth smallest value? (a) -15 (b) -2 (c) -43 (d) -0.3 (e) 5/3 d Which is the smallest value? (a) -5 (b) -4/6843 (c) -22/19 (d) 0.2 a Which is the fourth smallest value? (a) -0.0877095 (b) 1 (c) -1 (d) -1/5 b Which is the third biggest value? (a) 15 (b) -667 (c) -3 b What is the fourth smallest value in 20/3, 2, -4/5, -0.01, -46, -2? -0.01 Which is the seventh smallest value? (a) -0.21 (b) -3 (c) 26 (d) -0.026 (e) 1 (f) 3 (g) -0.5 c Which is the third smallest value? (a) -2/5 (b) -1.3 (c) 0.3 (d) -0.039 (e) 964 d What is the fifth smallest value in -318, 5, 4, -3/7, -137? 5 What is the fifth smallest value in 1/2, -2, -1/3, 169719, 0.4, -1? 1/2 Which is the fifth biggest value? (a) 5/3 (b) 2 (c) 4 (d) -243 (e) 0.09 (f) -62 f Which is the second smallest value? (a) 0.99 (b) -408 (c) -4 (d) -3 (e) 340/7 c Which is the third biggest value? (a) 73/5 (b) -2/9 (c) -2 (d) 1.64 (e) 2.2 d Which is the second smallest value? (a) 0.1 (b) 0.473 (c) -3.9 (d) 0.0137 d What is the smallest value in 210/149, 2, -0.0768? -0.0768 What is the third biggest value in -0.9, 4, 1076.747, 5? 4 Which is the fourth smallest value? (a) -2 (b) 0.4 (c) 2/7 (d) -38.5 (e) -16418 c Which is the sixth biggest value? (a) -1/3 (b) 2/911 (c) -45.8 (d) 0.01 (e) 2/3 (f) -0.2 c Which is the smallest value? (a) -2 (b) -3/1195 (c) -0.5 (d) -4/3 a What is the third smallest value in 43294, 0, 99? 43294 Which is the sixth smallest value? (a) -46 (b) 10 (c) 712 (d) 13 (e) 4/5 (f) 4 (g) -3/2 d What is the second smallest value in 0, -0.4, 9860, -0.01458? -0.01458 Which is the second smallest value? (a) -74 (b) -2 (c) 9 (d) -510 (e) 2/25 a Which is the second smallest value? (a) 0.02 (b) 0 (c) -14 (d) -0.02681 (e) -0.2 e Which is the second smallest value? (a) -44 (b) -0.3 (c) -5/23 (d) 3 (e) -0.4 (f) 40 (g) 0.2 e What is the fourth smallest value in -2/9, 3/5, -0.4708, -3/7, 25/8, 3? 3/5 What is the fourth smallest value in -413, -3, 3377, 0.01? 3377 Which is the smallest value? (a) 41952128 (b) 4 (c) -0.4 (d) -3 d Which is the fifth smallest value? (a) -2/13 (b) 0.4 (c) 61 (d) 0 (e) -83 (f) -2 (g) 27 b What is the smallest value in -2/13, 14442, 4, 2/13, 0.5, -0.2? -0.2 Which is the second smallest value? (a) -0.06 (b) -2/3 (c) -2/9 (d) 171/2 (e) 0 (f) -7/6 (g) -3 f What is the third biggest value in 3070/63, 0.1, -12/7, 26? 0.1 Which is the biggest value? (a) 0.2 (b) -0.19 (c) 2 (d) 204 d What is the third smallest value in -71, -0.2, 59, 1/118? 1/118 What is the third biggest value in -1/4, -3/4, -1/5, -442, 1.5, -0.3, -0.5? -1/4 What is the second smallest value in 10455/8, -5, -379? -5 What is the biggest value in -3, -1345, 1/17, -0.5, 5? 5 Which is the second smallest value? (a) 0.07 (b) 1 (c) 2/5 (d) -0.3 (e) 14 (f) -5 d What is the third biggest value in -3/4, 71, 32/9947? -3/4 Which is the biggest value? (a) 27 (b) 2 (c) -0.01836 a What is the seventh biggest value in 43/4, -19, -1/14, -3, 1/3, 52, -4? -19 What is the third smallest value in 17, 173, 22, 2? 22 What is the seventh smallest value in 3, 45/2, -4, -1061, -1, 0.3, 6? 45/2 Which is the second biggest value? (a) 0 (b) -15/46 (c) -1/11 (d) -1/13 (e) 4 (f) 3 f What is the third smallest value in -4/7, 0.09, -2116, 120? 0.09 Which is the fourth biggest value? (a) -673 (b) 3 (c) -2 (d) -1 (e) -1/5 (f) -4/7 d Which is the fourth biggest value? (a) -1 (b) 1 (c) 443 (d) -0.2 (e) -26.84 (f) -6 a Which is the fourth biggest value? (a) 0.92 (b) -0.3 (c) 0.4949 (d) -44 d What is the biggest value in -0.3, -8, -4, -149, 4, -29? 4 Which is the fourth biggest value? (a) 0.3 (b) 4 (c) 299234 (d) -27/4 d Which is the biggest value? (a) -0.53 (b) 0 (c) 1/4 (d) 2/83 (e) 2 (f) 482 f Which is the second biggest value? (a) 118/749 (b) -0.08 (c) -1/4 b Which is the third smallest value? (a) 1263303 (b) 3 (c) -3 a What is the fifth biggest value in -3/8, 4, -3/20, -4, 3.43? -4 Which is the second smallest value? (a) 1742 (b) 7 (c) 3/74 b What is the second biggest value in -2, 7, -9.74, -23/2? -2 What is the fifth biggest value in 13, -2/5, -0.9, -20, -3, -2, 1/7? -2 What is the biggest value in -0.39, -5, -4/23, -3543/8? -4/23 What is the third smallest value in -2/13, -0.01, 0.02, 2/9303? 2/9303 Which is the third smallest value? (a) -0.14 (b) -418 (c) 1/3 (d) 24 (e) -0.3 a Which is the fourth smallest value? (a) -2/5 (b) 0 (c) -101208 (d) -26 b Which is the fourth biggest value? (a) 50133 (b) 92 (c) -0.3 (d) 1/3 c What is the third biggest value in -642/7, 1/4, -4, 240, -0.5? -0.5 Which is the smallest value? (a) -1.8 (b) 0.2 (c) -3/7133 a Which is the third smallest value? (a) -27/13 (b) 45 (c) -84 (d) -2 d What is the biggest value in 0.6, -4, 1/9, 0.5, 1/3, -563, 7/5? 7/5 Which is the second biggest value? (a) 10 (b) -1/5 (c) 0.5 (d) -0.3 (e) -25 (f) 0.01 (g) 5 g Which is the third smallest value? (a) 3/7 (b) 4883174 (c) -5 b What is the biggest value in 0.36862, 36, 2/3? 36 What is the fifth smallest value in 0.03, 5, -5, -7206, -9? 5 What is the fifth biggest value in -2, -1, -2/6735, -3, 36? -3 What is the third biggest value in -32375, 136/5, 4? -32375 What is the third biggest value in -780.4, 0.04, -227, 2? -227 Which is the fourth smallest value? (a) 1472 (b) 70/9 (c) -2/5 (d) -0.01 a Which is the sixth smallest value? (a) 12 (b) -0.78 (c) 0.4 (d) -1/7 (e) -0.2 (f) -30 (g) 19 a What is the fifth biggest value in -1.575844, -2/19, 1, -1/7, 0.5? -1.575844 What is the biggest value in -1/6, 2.2, -0.274706? 2.2 What is the second biggest value in 5, -0.5, 0.68, 14, -2/15, -0.3? 5 What is the second smallest value in -3, -50, -3397, -2? -50 What is the sixth smallest value in 0.4, 11/5, 1/3, 1, -86, -1? 11/5 Which is the fourth biggest value? (a) 1/7 (b) 5 (c) -0.5 (d) -2110 (e) -2/23 (f) 1 e Which is the third smallest value? (a) 0.403 (b) 157 (
{ "pile_set_name": "DM Mathematics" }
+ c = -2848, y*a + 2*c = 1912. Is a composite? True Let z be (-13 + 4/4)*(-8)/16. Is ((-18)/(-2))/(-3)*(-206)/z prime? True Is (-115 + -31)/((-20)/11090) composite? True Let j(o) = -54*o**2 + 71*o + 3. Let r be j(16). Let m = r + 21339. Is m a composite number? True Let i = 13 - 7. Let d be 6 + ((-2 + i)/4)/1. Let j(p) = p**2 + 3*p + 7. Is j(d) a prime number? False Suppose -1858*l = -1873*l + 15621510. Is l prime? False Suppose 2*g = -5*z + 1036, 3*g + 5*z = 2*g + 523. Let q = -787 - -465. Let c = g + q. Is c a composite number? False Is 80612 - ((-2)/5 - (-441)/315) composite? False Let x(b) be the first derivative of 5*b**3/3 + 3*b**2/2 - 21*b + 6. Suppose -32*n = -29*n + 30. Is x(n) prime? True Let w = -753 - -2176. Is w a composite number? False Let a(s) = -s - 10. Let r be a(-7). Let x be (-2)/r - 18683/21. Let m = x - -1408. Is m a composite number? True Is ((-2003680)/(-14) - -44) + (-5 - 0) a composite number? False Let v = -340 + 1903. Is v a composite number? True Let h = 20824 - 14471. Is h a prime number? True Suppose -l = -q - 8*q - 225824, l - 225769 = -2*q. Is l a composite number? False Suppose 2*o - k - 621 = 1168, 0 = -o + 5*k + 917. Let n(s) = -s - 18. Let z be n(-21). Suppose z*a - o = -a. Is a a composite number? False Suppose 0 = -45*y + 41*y + 4*l + 3291812, -2*y - 5*l + 1645878 = 0. Is y a composite number? False Let j = -217 - -232. Suppose -48590 = -j*q - 15125. Is q prime? False Let y(q) = q**3 - 2*q + 2. Let g be 6/(-3) - 6/(12/(-4)). Let l be y(g). Suppose 4*v + 3*z = 475, l*z - 117 = -v + 3*z. Is v a prime number? False Let b = 136 + -525. Suppose 3720 = -5*n - 3*g + g, -3*n - g = 2231. Let w = b - n. Is w prime? True Let w = 4365 + -2570. Let o = 4128 - w. Is o a prime number? True Suppose -2*g - 2405 = -3*l, -11*g - 2407 = -3*l - 10*g. Suppose -l = -6*h + 4999. Is h prime? True Let m be (-16)/32*4366*-2. Let u = m - 1835. Is u a composite number? False Suppose 3*y - 19273 = -y + 102523. Is y a composite number? False Let x = 479 + -477. Is x*(-6478)/4*-1 composite? True Let r(q) = -20508*q - 13. Suppose 0 = 2*x + 4*a + 18, -x + 4*a = -9 - 6. Is r(x) a composite number? True Let l(i) = -17*i**3 - 45*i**2 - i - 16. Let b = 286 + -295. Is l(b) a composite number? False Let y(z) = -2*z**3 - 71*z**2 - 37*z - 70. Let l be y(-35). Let k be (-7)/(-1) + (1 - 2). Suppose -k*w + w + 18185 = l. Is w composite? False Suppose r + 9*c = 6*c + 15407, 61684 = 4*r - 2*c. Is r a prime number? False Let i = -801 + 805. Suppose -2*o - 33136 = -i*b + 2*o, 4*b - 33163 = -5*o. Is b a prime number? True Let h be 1/(5/10) + 24. Let j = h + -21. Is 25/j - 2 - -1556 a composite number? False Let h(a) = a**3 - 2*a + 7. Let u be h(0). Suppose 6*f - 2*f = 3*t + u, 2*t = -4*f - 18. Is f*((1 - 0) + -1062) composite? True Let x(b) = -11*b - 2. Let w = 24 + 45. Suppose 5*t = -w - 16. Is x(t) a composite number? True Let p(r) = 15102*r**2 - 28*r - 51. Is p(-2) prime? True Let f(u) = u**3 + 2*u**2 + u + 2. Let m be f(-2). Suppose m = 4*a - a - 948. Suppose -3*g = -4*w - 383, -4*g - w + 852 = a. Is g composite? True Let q = -2294 + 4294. Let w = q + -687. Is w prime? False Let a(n) = 419*n**3 - 3*n**2 - 4*n - 2. Let x be a(-1). Let y = 2207 - x. Is y prime? False Suppose -3*j + 12 = -12. Suppose j*n - 403 - 869 = 0. Is n prime? False Let b(l) be the third derivative of 611*l**4/24 + 151*l**3/6 - 2*l**2 - 52*l. Is b(8) prime? True Suppose -630*u + 629*u = 2*o - 62878, 0 = -3*o - 2*u + 94317. Is o prime? False Let g be 222/(-14) + 7/(-49). Let m(i) = 14*i**2 + 20*i + 31. Is m(g) prime? False Let g(q) be the second derivative of 2919*q**5/20 - q**4/12 - q**3/2 + q**2/2 + 12*q. Let w be g(2). Suppose w = 12*t + 5691. Is t a composite number? False Let n(l) = 1558*l**2 - 20*l - 4. Let y be n(-6). Suppose -191*k = -187*k - y. Is k a composite number? False Suppose 5*w - 58771 - 76383 = 76011. Is w prime? False Let s(y) = -y**3 + 10*y**2 + 6*y + 4. Let w(m) = 4*m**3 - 40*m**2 - 23*m - 17. Let n = 55 + -46. Let r(l) = n*s(l) + 2*w(l). Is r(10) a composite number? True Suppose 7*h + 16465299 = 58*h. Is h a composite number? False Let w = -27061 + 50204. Is w a prime number? True Let o(h) = -134*h - 3. Let i(a) = -a. Let u(k) = -3*i(k) + o(k). Let r = -630 + 626. Is u(r) composite? False Suppose -8*a + 728 = -6*a. Suppose a = 5*o - 7341. Suppose -2*z + o = -z. Is z a composite number? True Let v = 292952 + -125574. Is v composite? True Let w be (2016/(-180))/((-1)/95). Suppose -1068*b + 486548 = -w*b. Is b prime? True Is (132 + -131)*(-2 - -3)*296627 composite? False Suppose 13*k = 12*k - t - 7666, -t - 15336 = 2*k. Let j = 12343 + k. Is j a composite number? False Suppose 6631*s - 6652*s = -9606849. Is s prime? True Suppose 18*l - 14*l + 8 = 0, 155861 = 5*t + 2*l. Is t a prime number? False Let p be (300/(-675))/((-1)/9). Suppose -5*y - l = -58087, 2*y + p*l - 20770 - 2472 = 0. Is y a composite number? False Suppose -17*i - 603 = -14*i. Let a = i - -1858. Is a a prime number? True Suppose 0 = -2*j + 4*k - 70, -3*k - 203 = 5*j + k. Let o = j - -42. Suppose 0 = -z - 1 - 0, o*c - 3*z - 564 = 0. Is c a prime number? False Suppose 59 = -12*f - 241. Is (-9792)/(-7) - f/175 composite? False Suppose 15*m - 60*m = -28*m. Suppose -4 = -b + 2*s + 5, 4*s - 15 = -b. Suppose -12*z + b*z + 82 = m. Is z a composite number? True Suppose -4*y - 3*a + 5 + 15 = 0, -a = -4*y + 4. Let s(x) = 160*x**3 - 5*x**2 + 40*x + 3*x**y - 39*x - 1. Is s(2) a composite number? True Suppose -31*d + 14933122 = 63*d. Is d composite? False Let c(h) = -8*h**2 + 24*h + 31 + 4*h**3 - h - 12*h - 9*h. Is c(9) a prime number? False Suppose -3*v - 13*v + 1499040 = -3135376. Is v a prime number? False Let f(y) = 63*y**2 - 18*y + 53. Is f(16) prime? False Let b = 758 + -450. Suppose 6*c = 64 + b. Suppose 0 = 3*h - 5*h + c. Is h composite? False Let c = -105252 - -866293. Is c composite? True Let k = 230521 + 64102. Is k composite? True Let z be (-2)/5*40/(-8). Is 3160 - z - 0 - (-1 + -4) a prime number? True Let t(m) be the first derivative of 4 + 7 - m + 74*m**3 - 2 + 2*m. Is t(1) a prime number? True Let q(p) = p + 10. Let g be q(-10). Suppose -18 = -3*v - g*v. Is 5/(150/655)*v prime? True Suppose 0 = 4*p - z - 21554318, -p = -37*z + 41*z - 5388605. Is p a composite number? True Let w(k) be the first derivative of 7*k**2 - 14*k - 11. Let r be w(13). Suppose 0*l + r = l - c, c = 5*l - 820. Is l a prime number? True Let g(l) = 93*l**2 - 64*l + 282. Is g(7) prime? True Let p = 155 + -152. Suppose -4*n - 8661 = -p*a + 9718, 2*n = 3*a - 18371. Is a a composite number? False Let u = -6512 - -15331. Is u a prime number? True Is (3 + (-30)/8)*4*-1 + 14450 a prime number? False Let g be (-3)/(-2)*(-20)/(-6). Let q be 4104/(-48)*(-52)/9. Suppose -5*c - 5*n + 1355 = -1025, q = c - g*n. Is c a prime number? True Suppose -52 = 26*p - 30*p. Is 11596/p - (10/2)/1 a prime number? True Let w(a) = -a**2 + 1. Let g(p) = 20*p**3 - 4*p**2 + 2*p - 4. Let i(u) = -g(u) + 5*w(u). Let h be i(-3). Let f = 935 - h. Is f a prime number? True Let r = -191 + 203. Is (-14)/(-21) + 23884/r a prime number? False Let o be (-1 - (-3)/(-6))*(-8545 + -1). Suppose 0*d - 7695 = -3*i + 3*d, 0 = 5*i - 2*d - o. Is i composite? True Suppose 12*t = 18*t - 3126. Let i = t + 1560. Is i a prime number? True Suppose -3*m - 2*m = 4*y + 26735, 3*y + 5*m + 20055 = 0. Is (76/(-10))/(16/y) a prime number? False Let s be -12 + 5 + 63796 + 3. Suppose -3*l = 3*k - 8*l - s, -2*k + 42526 = -4*l. Is k prime? True Suppose -11621187 + 8488660 = -103*b + 32886264. Is b a prime number? True Suppose -216480 = -17*k + 11*k. Let m = -19897 + k. Is m a prime number? True Let p = 120 - 129. Let i be (-3)/p*15 + 12506. Suppose 0 = 5*s - 4*o - i, 2*s - 3*o = -2*o + 5005. Is s composite? False Is (-17)/(-1 - 33) + (-4887579)/(-6) a prime number? False Suppose -160*d + 19926688 = 1904355 - 817827. Is d a composite number? False Let t = -8836 - -11697. Is t a composite number? False Let u(w) = 2*w**2 + w + 2. Let h be u(1). Suppose -2*p + g + 228 = 0, h*p - 95 = -3*g + 486. Is p composite? True Let r be 2/8 - 161/(-28). Is (-6)/(-9)*(r - (-5529)/2) prime? True Let g = -63 - -65. Suppose 0 = g*b - 4*h - 17638 - 21488, -19578 = -b + 5*h. Is b a prime number? True Let s(f
{ "pile_set_name": "DM Mathematics" }
0)/((-1)/(-2)). Let v = 1/928 - 937/8352. Which is the closest to 1? (a) z (b) q (c) v a Let t = -0.289 - -0.589. Let l = -8 + 4. What is the closest to -1/2 in l, -0.04, t? -0.04 Let d = -1165.1 - -1165. What is the closest to 1 in d, 3/7, 14, 5? 3/7 Let x = 2.99 - -0.01. Let q be ((-2)/6)/(21/(-12303)). Let v = 195 - q. Which is the closest to x? (a) 4 (b) -0.3 (c) v a Let j = -4 - -6. Let i = 8.37 + -8.47. Which is the nearest to -2? (a) j (b) -3/4 (c) i b Let v(r) = 2*r - 6. Let s be v(8). Let d be 21/(-35)*s/(-9). Let q = -78/979 + -1/89. Which is the closest to 0? (a) q (b) d (c) 2/17 a Let v = 0 - -4. Suppose -5*j = v*u + 11, 5*j - j + u = 0. Let c be (6/(-140)*5)/(1/2). What is the nearest to j in -3/2, -0.4, c? -0.4 Let j = 243 - 242.96. Which is the nearest to -2? (a) j (b) -2 (c) 5 b Suppose -5*o = -4*o. Let h = 0.0732 + -0.3732. Which is the nearest to 0.1? (a) o (b) h (c) -6 a Let x = 0.146 - 1.046. What is the nearest to -5/3 in -2, -2/13, x? -2 Let q = -3 - -1.8. Let v = -0.7 - q. Let k = 21 - 62/3. Which is the nearest to k? (a) 0.4 (b) v (c) 2 a Let j = -203578 - -1834261/9. Let s = -229 + j. Suppose 3*x + 0*x = -3*d + 6, 4*x + 2*d = 6. Which is the closest to x? (a) 0.4 (b) -0.5 (c) s a Let m = -156.37 - -157. Let o = 12.63 - m. What is the closest to 0 in -1/4, o, 3? -1/4 Let q = 140 - 696/5. Let p = -0.6 - -0.7. Which is the closest to p? (a) 2/5 (b) q (c) -1/3 a Let d = 0.5 - 0.3. Let y = 239 + -242. What is the nearest to d in 2/3, y, 0.1? 0.1 Let c = 0.9 + -1. Let t = -1/208 - -843/2288. Let i = t - -10/33. What is the nearest to -1/4 in c, i, -5? c Let r = 5/29 + -47/609. What is the closest to 0 in -5, 3/8, r, -3? r Let f(s) = -5*s**2 - s + 1. Let w be f(1). Let l = 0.1072 + -52.2072. Let d = 52 + l. Which is the nearest to 2/3? (a) w (b) -1 (c) d c Let l = 2258 + -2257. What is the closest to l in 2, -0.3, 1/13? 1/13 Let l = 0 - 0.1. Let c = -4834/13 - -372. What is the closest to c in -0.5, l, 2? l Let n = -956 + 958. What is the nearest to n in 2/17, -1, 2, 11? 2 Let r = 28 + -83/3. Let q = -1/6 - r. Which is the closest to 2? (a) 0 (b) q (c) 1.1 c Let u = 2 - 2. Let c be (-1010)/(-728) + 6/(-8). Let k = c + -12/13. What is the nearest to k in -2/13, u, 1? -2/13 Suppose 18 = -28*x + 37*x. What is the nearest to -2/7 in 2/19, 1, x? 2/19 Let l = 149 + -165. What is the closest to 0 in -4, -0.01, l? -0.01 Let a = -1069/253 - -46/11. Let x = 21/46 - a. Let t = -61.6 + 59.6. What is the nearest to t in x, -1, 2/5? -1 Let w(q) = q**2 + 62*q - 1955. Let p be w(-85). Let i = 3 + -7. What is the nearest to 2 in i, -1/7, p? p Let m = -142 + 41. Let g = m - -101.4. Which is the closest to -1? (a) g (b) 2 (c) 4 a Let q = -0.06 + 2.06. Let x be (-9)/((-189)/(-14))*(-39)/(-26). What is the closest to q in 0.3, 1, x? 1 Let z = 0.2077 + -0.0077. What is the closest to -0.04 in 0, z, -1.7? 0 Let s = -3.72 + 0.12. Let u = s - -3.9. Let q = 0.3 + -0.2. Which is the nearest to 0.3? (a) q (b) u (c) 5 b Let i = 12 + -8. Let p = 38 + -39.2. Let r = -1.2 - p. What is the nearest to 0.2 in r, i, 0.3? 0.3 Let y be (40/4)/(4 + -2). Suppose y*f + 6*t - t = -10, -2*f - 4*t = 14. Let o = -2/9 - -31/18. Which is the nearest to -1? (a) o (b) 0.3 (c) f b Let w be (-2)/(-8)*28/14. Which is the nearest to w? (a) 0 (b) 6 (c) 0.08 c Let v = -3 + 3. Suppose 2 = x + 29. Let p be 3*(-2)/x*-1. What is the closest to v in p, 4, 0.1? 0.1 Let i be 1/((-4)/(-5) - 1). Let b be 2 + 3 + (-2613)/572. Let u = 2/11 - b. What is the closest to -1 in 2, i, u? u Let n = 105.8 + -105.6. Which is the closest to -0.2? (a) -5 (b) n (c) 0.06 c Let i be (-160)/(-672) - (-2)/6. What is the closest to 1/4 in 0.5, i, -5, -2? 0.5 Let s be 4*(-5)/20 + (-2 - 0). Let j be (s/10*-4)/(32/240). Let t = -565/34 - -33/2. What is the closest to 2/5 in -0.4, t, j? t Let k = -5.49 - -0.49. Let u = k + 5.1. What is the closest to -1 in 0.12, 3, u? u Let s = -24.65 - -25.65. Which is the closest to 1/4? (a) -6 (b) -4 (c) 3 (d) s d Suppose -4*j + 6 = -6. Let y = -0.068 - -7.068. Let q = -7.1 + y. Which is the nearest to -2/9? (a) q (b) -1/3 (c) j b Let w = 2.95 + 0.05. Suppose -48 = 6*x - 18*x. Which is the nearest to -3? (a) w (b) 0.06 (c) x b Let x = 0.135 + 0.465. Which is the closest to -0.1? (a) 0.4 (b) -4 (c) x a Let o = 1 + -7/9. Which is the closest to 0.1? (a) o (b) 0.13 (c) -0.3 b Let k(s) = -s - 1. Let m be k(-4). Which is the nearest to 4/9? (a) 5 (b) m (c) 0.5 c Suppose -l + 30 = 3*l + 5*u, -2*l = -4*u - 2. Let b = 353 + -324.4. Let i = b + -29. What is the closest to 1 in l, 0.3, i? 0.3 Let j = -7 - -34/5. Let k = -0.45 - -0.05. Let w be ((-38)/76)/((-1)/(-3) + -1). What is the nearest to j in k, w, -3? k Let x = 0 + -0.2. Let w be 7/28 + (3/(-4) - 0). What is the nearest to w in x, -0.3, -0.1? -0.3 Let v = -51/598 - -11/46. Which is the nearest to 2/9? (a) -3/7 (b) -2 (c) v (d) -31 c Let g(y) = y. Let x be g(-1). Let t = 2103 + -2105. Which is the closest to 0.2? (a) t (b) x (c) -0.2 c Let o be (-4)/(-32)*0 - (-2)/10. Let f = -132440 + 79861244/603. Let l = f + 1/67. What is the nearest to -1 in l, o, 0.3? l Let f = 9.8 + -9.7. Which is the nearest to f? (a) -6 (b) -1/6 (c) -4 b Let c = -14 - -13.6. Let s(j) = 4*j - 2. Let a be s(2). Let y be (10/a)/(2/(-6)). What is the closest to 6 in y, 1, c? 1 Let m be (-1)/3 - 98/21. Let d = m + 14. Let b be (2 - 30/d)/(-6). What is the nearest to -1 in 0.1, 5, b? 0.1 Let n = 1.5183 - 1.6083. Let r be ((-12)/(-70))/(3/10). Which is the closest to 0? (a) n (b) 5 (c) r a Let w = -62134 - -62132. Suppose -4*u = -2*k - 48, k - u = -7 - 12. Let j be (0 + (-1)/k)*-4. Which is the closest to j? (a) 3 (b) w (c) -1 c Let g = -0.26 + -13.74. Let z = -14 - g. Let l = z + -0.4. What is the nearest to -0.2 in 3, -0.5, l? l Let s be 2/(-30) + (0 - (-8)/20). What is the closest to -1.82 in -2/9, s, -2/17? -2/9 Let p = 533 + -530. Which is the nearest to -0.2? (a) p (b) 0 (c) 9 (d) -2/7 d Let n = 291 + -2034/7. What is the nearest to 0.1 in n, 0, 1/4? 0 Let p = 6 + -5.9. Let i = -6 - 4. Let c(s) = 2*s + 15. Let r be c(i). What is the closest to p in 0, r, 1? 0 Let x = -24 + 20. Suppose -6*l = 4*l. What is the nearest to x in -3/5, 5, l? -3/5 Let g = 39 - 427/11. Let o(x) = 0*x - 6*x - 12 - 32 + 25. Let l be o(-4). What is the nearest to 1 in 0.2, l, g? 0.2 Let f = -135 - -135.1. What is the nearest to f in -2.6, -3, 1? 1 Let i(y) = 2*y**3 + y**2 - y + 1. Let x be i(1). Let d be x/((-30)/(-2))*1. Let g = 0.163 - 2.163. What is the closest to 1/4 in g, 2, d? d Let p = -0.18 + 0.18. Let x = -45/8 - -175/24. Let w be (-2 + 6 + -2)*(-2 + 0). What is the closest to p in 2, x, w? x Let u = 211 + -211.1. What is the closest to u in -4, -8, 4? -4 Suppose 5*x + 6 - 36 = 0. Let o be 22/x + (-5)/(-15). Suppose -o = 3*r - r. Which is the nearest to r? (a) -0.4 (b) 0.3 (c) 4/7 a Let i = -269.15 - -269. What is the closest to i in 0.3, 2, 0.1? 0.1 Let j = 2.1 - 2. Let h be ((-7)/42)/(38/(-342)). What is the closest to -1 in 2, h, j? j Let w = 11 - 10. Let x = -0.9 + w. Let y = -3/58 + 125/174. What is the nearest to 1 in y, 3, x? y Let n = 792851/35126 + -1/5018. Let v = 22 - n. Let r = 10.1 + -9.8. What is the nearest to 0 in v, r, 3/8? r Suppose 0*l + 5*w = -3*l + 14, -4*l = -2*w + 16. Let z(p) = p**2 + 7*p - 17. Let d be z(2). Which is the nearest to d? (a) 0 (b) -2/3 (c) l a Let s = 29.947 - 30. Let b = -4.947 + s. Let m = 65/12 - 19/4. What is the closest to m in 0.2, -1/3, b? 0.2 Let j be -6*(-5 - 56/(-12)). Which is the closest to 1? (a) -2/3 (b) j (c) -4 b Let c(v) = -v + 2. Let u be c(-8). Let y be 2 - 4/(16/u). Let t = 30 + -31. What is the closest to y in t, 2/3, 4? t Let m be ((-184)/(-460))/(38/5). Which is the closest to 1? (a) m (b) 1 (c) -0.5 b Let d = -256 - -251. Which is the closest to -2/7? (a) d (b) 0.03 (c) 0 c Let v = 202.8 - 203. Which is the nearest to 0? (a) 3 (b) v (c) 0 c Let j be 2/3*-3 - (-24)/14. Which is the closest to 0? (a) 1/8 (b) j (c) -1 (d) -15 a Let m be ((-4)/(-3))/((-88)/(-12) + -4). Let w = 0.059 - 3.159. Let y = w + 3. Which is the nearest to m? (a) y (b) 0.2 (c) -1 b Let u = -3.03 + 0.03. Let p = 5.6 + -0.6. Let
{ "pile_set_name": "DM Mathematics" }
at is the tens digit of 1026? 2 What is the thousands digit of 34257? 4 What is the units digit of 36486? 6 What is the ten thousands digit of 60952? 6 What is the units digit of 1319? 9 What is the tens digit of 63393? 9 What is the hundred thousands digit of 110557? 1 What is the hundreds digit of 21280? 2 What is the tens digit of 12151? 5 What is the thousands digit of 23340? 3 What is the units digit of 1459? 9 What is the hundreds digit of 402? 4 What is the units digit of 18460? 0 What is the tens digit of 1254? 5 What is the hundreds digit of 4688? 6 What is the ten thousands digit of 14098? 1 What is the units digit of 855? 5 What is the units digit of 260? 0 What is the thousands digit of 7575? 7 What is the units digit of 525? 5 What is the units digit of 2810? 0 What is the tens digit of 14547? 4 What is the ten thousands digit of 58581? 5 What is the hundreds digit of 10735? 7 What is the hundreds digit of 142? 1 What is the hundreds digit of 304? 3 What is the thousands digit of 9034? 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5 What is the ten t
{ "pile_set_name": "DM Mathematics" }
Let g(l) = i(l) - u(l). Suppose -5*d + 2*x = x - 6, -3*x - 6 = -3*d. Calculate the remainder when g(d) is divided by 3. 2 Let m(c) = -c**3 + 3*c**2 + 10*c + 24. Calculate the remainder when m(-5) is divided by 35. 34 Calculate the remainder when 10/(-5) + (-1380)/(-10) is divided by 10. 6 Let k(y) = -12*y - 3. Let o = -44 + 50. Let u = 2 + o. What is the remainder when k(-2) is divided by u? 5 Let m = -8 - -13. Suppose -m*h = -g + 34, 0 = -3*g - 2*h + 121 - 19. Suppose 2*o = 4*o - g. What is the remainder when 48 is divided by o? 14 Let r be (-4)/2 + -1 - 0. Suppose 0 = -4*g + h + 113, -4*h = -4*g + 384 - 268. What is the remainder when 332/3 + r/(-9) is divided by g? 27 Suppose 161 = -13*g - 86. Let n(u) = -u**3 - 20*u**2 - 18*u + 33. What is the remainder when 17 is divided by n(g)? 3 Let u(b) = 37*b**2 + b. Let r(t) = 2*t**2 + 32*t + 136. Calculate the remainder when u(1) is divided by r(-7). 8 Let o(x) = 3*x**2 - 28*x + 12. Let r be o(11). Let v = -38 + r. Calculate the remainder when v is divided by 6. 5 What is the remainder when (-1051637)/(-340) - (-2)/(-40) is divided by 129? 126 Suppose -x - 5 + 3 = 0. What is the remainder when (1 - x)*(-1390)/(-15) is divided by 40? 38 Let d be 60/(-105) + (-192)/7. Let b = -2 - d. Let h = 10 - 3. What is the remainder when b is divided by h? 5 Suppose 0 = -3*f + 5*u + 620, u + 189 = 2*f - 236. Calculate the remainder when f is divided by 18. 17 Let p(c) = -c + 11. Suppose -4*t + 3*a = 94, -4*t = -0*a + a + 102. Calculate the remainder when 105 is divided by p(t). 33 Let b = 2570 - 2566. Calculate the remainder when 27 is divided by b. 3 Suppose 0 = 3*z - 0*q - 3*q - 18, 26 = 2*z + 5*q. What is the remainder when (-527)/(-7) + 4/(-14) is divided by (-1)/2 - (-156)/z? 18 Let m = 285 - 282. Calculate the remainder when 2/10 + (-238)/(-10) is divided by m. 0 Let z(u) = -u**2 - 3*u + 11. Let f be z(-6). Let o(r) = -r**3 - 6*r**2 - 8*r - 5. Calculate the remainder when o(f) is divided by 26. 22 Suppose 0 = h - 37. Let i = h - 13. Calculate the remainder when (-1*3)/((60/184)/(-5)) is divided by i. 22 Let w(v) = v**2 + 8*v - 11. Let i be w(-8). Let y = 16 + i. Suppose 19 = 4*h - y. Calculate the remainder when 14 is divided by h. 2 Suppose 38 = 4*d - 34. Suppose 38*i + 144 = 64*i - 1078. Calculate the remainder when i is divided by d. 11 Suppose -5*z + 226 = 5*u - 24, 0 = u + 4*z - 38. Calculate the remainder when u is divided by 32. 22 Let l(a) = a**2 - 18*a - 185. What is the remainder when 91 is divided by l(-8)? 22 Let a = 434 + -138. Calculate the remainder when a is divided by 23. 20 Let j(r) = 8*r**2 + r. Let x = -1926 + 1936. What is the remainder when x is divided by j(-1)? 3 Let v(m) = -7*m + 20. Let q be ((-8)/(-20))/((-1)/15). Suppose 37 = 5*j - 8. Calculate the remainder when v(q) is divided by j. 8 Let h = -1 + 2. Let m = 30 + h. Calculate the remainder when m is divided by 8. 7 Suppose 5*p + 0*p = -2*m + 8, -2*m + 2 = 2*p. Suppose r + 3*h - 19 = 0, -2*r + p*h + 70 = -0. Let o = -19 + 35. What is the remainder when r is divided by o? 15 Let a(r) = -r**3 - r**2 + 7*r + 7. Let q(z) = 2*z**2 - 2. Let l be q(-2). Calculate the remainder when a(-4) is divided by l/(-15)*(-1 + -34). 13 Let m = 7 - -75. Suppose -m = -2*w - 30. What is the remainder when 76 is divided by w? 24 Let k = -41 + 52. Calculate the remainder when k is divided by (-2)/7 - (-37)/7. 1 Let d = -88 - -127. Suppose -21 = -2*t - 3*q + 5, -3*t + 3*q = -d. Calculate the remainder when 77 is divided by t. 12 Let m(o) = o**3 - 3*o**2 + 2*o + 19. What is the remainder when m(6) is divided by 47? 45 Let d(f) = -f**3 + 4*f + 5. Let c be d(4). Let i = c + 71. Calculate the remainder when i is divided by 15. 13 Let z(c) = 4*c - 1. Suppose -3*a = -12, -2*d - 3*a = -4*d + 6. Suppose 3*k = -6 - 3, -d = 3*b + 4*k. Calculate the remainder when 3 is divided by z(b). 0 Let n(d) = 4*d + 70. Calculate the remainder when 258 is divided by n(-11). 24 Suppose 319 = 5*q - 251. Suppose -2*f + 4*u = -116, 2*u = -4*f + 68 + q. What is the remainder when f is divided by 7? 6 Suppose 5*s - 56 + 1 = 0. Let b(g) = 2*g**3 + 53*g**2 - 165*g + 4. Calculate the remainder when b(3) is divided by s. 7 Suppose 5*g - 41 = -6. Suppose 5*f - 12 + g = 0. What is the remainder when 26 is divided by f + (4 - -3) + 1? 8 Suppose m - 3*p = 2*p - 14, -14 = -5*m + 4*p. Suppose -2*l + m = l. Suppose 0 = -l*c + 19 + 51. What is the remainder when 68 is divided by c? 33 Suppose 4*r = 6*r + 2*q - 16, 0 = -2*r + q + 7. Suppose -11*s + r*s = -102. What is the remainder when 33 is divided by s? 16 Suppose 3*n + 138 = -3*y, 0 = 2*n - 3 + 1. Let s = 105 + y. Calculate the remainder when s is divided by 30. 28 Let r = 68 - 66. Suppose 0 = f - 4*d + 5, 4*f - r*f - 35 = -d. Let t = 73 - 46. Calculate the remainder when t is divided by f. 12 Let s = -105 + 126. What is the remainder when 49 is divided by s? 7 Let x = -8 - -23. Suppose j = b + 2*j - 1, 3*b = -2*j + 8. Suppose y = -a + 11, a - b*a + 2*y + 34 = 0. What is the remainder when x is divided by a? 7 Suppose 0 = 2*a - 9 + 3. Let n(f) = 8*f + 1. Suppose 134 = k - 4*h, -3*k + 6*h = 2*h - 378. What is the remainder when k is divided by n(a)? 22 Let u(r) = -r**3 + 5*r**2. Let w be u(5). Suppose -3*j + 6 = w, -f + 2 = -2*j - 7. Calculate the remainder when 47 is divided by f. 8 Suppose -6*z + 1 = -7*z. Calculate the remainder when 26 is divided by (0 - -3) + 5 - z. 8 Suppose -v + 20 = -2*o - 0*o, -90 = -5*v + 5*o. Let h = 8 - -20. What is the remainder when h is divided by v? 12 Suppose -5*a + 20 = -a. Suppose -2*w = -5*v - 2, 3*w - 2*v - 45 = -a*v. What is the remainder when 26 is divided by w? 4 Suppose 5 = -2*a + 77. Let i = 44 - a. What is the remainder when 19 is divided by i? 3 Let j(k) = -k**3 - 8*k**2 - 9*k + 26. Calculate the remainder when j(-9) is divided by 48. 44 Let d(w) be the third derivative of -w**6/40 + w**5/20 + w**4/6 - 8*w**2. What is the remainder when (2/(-5))/(3/(-405)) is divided by d(-2)? 26 Suppose -2*y - 253*b = -251*b - 342, 2*y - 324 = 4*b. Calculate the remainder when 513 is divided by y. 9 Let g(f) be the third derivative of 7*f**4/6 - 15*f**3/2 + 40*f**2. What is the remainder when g(9) is divided by 42? 39 Let n = -100 + 277. Calculate the remainder when n is divided by 18. 15 Let j = 26 - -38. Suppose 245*a - 243*a - 66 = 0. What is the remainder when j is divided by a? 31 Suppose -40 = -5*n + 60. Suppose 0 = -3*s - 2 + n. What is the remainder when 35 is divided by s? 5 Let q(r) = r**3 + r**2 + 7*r - 17. Suppose -29 = -f + 2. Calculate the remainder when q(4) is divided by f. 29 Suppose 0 = -o - 3*z + 13, 2*z + 35 = 37. Let i = -17 - -35. What is the remainder when i is divided by o? 8 Let f(j) = 8*j**2 - j + 1. Let v(h) = -3*h**3 + 3*h**2 + 4*h - 6. Suppose 7*y + 9 = 4*y. What is the remainder when v(y) is divided by f(2)? 28 Suppose 3*c = c + 142. Suppose r + 5*h = 5*r - c, -5*r + 85 = -5*h. Calculate the remainder when 83 is divided by r. 13 Suppose -25*z + 87 = 12. Let d(s) = -s**2 + 6*s - 3. Calculate the remainder when d(4) is divided by z. 2 Let p = -3 + 4. Let f = p - -4. Suppose -5*y + f = -5. What is the remainder when y is divided by 2? 0 Let p(w) be the second derivative of 4/3*w**3 + 0 - 7/2*w**2 - 3*w - 7/12*w**4 + 1/20*w**5. What is the remainder when 14 is divided by p(6)? 4 Suppose 2*u = 4*u - 226. Let h = 7517 + -7488. Calculate the remainder when u is divided by h. 26 Let t be -33*(1 + 10/(-6)). Let l(p) = -p**3 + 9*p**2 + 25*p - 3. Let u be l(11). Let d = u - t. Calculate the remainder when 14 is divided by d. 6 Suppose -5*u + 0*u = -25. Calculate the remainder when 99 is divided by u. 4 Let h(u) = u**3 - 20*u**2 - 20*u - 22. Let z be h(21). What is the remainder when 44 + 5 + -5 + z*1 is divided by 17? 9 Let n be (8/12)/(8/60). Suppose -3*o - 145 = -n*v, -2*o = 14 - 4. Calculate the remainder when 127 is divided by v. 23 Let z = -520 - -532. Calculate the remainder when 679 is divided by z. 7 Let c(m) = m + 69. What is the remainder when c(14) is divided by 118/24*3 - (-6)/(-8)? 13 Suppose -4*s = -50 - 50. Suppose 29*o - s*o - 116 = 0. What is the remainder when 84 is divided by o? 26 Let n = -735 + 748. What is the remainder when 58 is divided by n? 6 Let j(p) = -2*p**3
{ "pile_set_name": "DM Mathematics" }
for l. 1 Let t(n) = -16*n - 1. Let i be t(-1). Suppose -z - 10 = -2*z. Let m = z - 7. Solve -m*h - i = -0*h for h. -5 Suppose 0 = 64*m - 60*m - 32. Solve -v = v - m for v. 4 Let b(z) = -2*z**3 + 7*z**2 - 5*z + 4. Let f(h) = 3*h**3 - 7*h**2 + 4*h - 4. Let a(c) = 4*b(c) + 3*f(c). Let x be a(-8). Solve -i - x = i for i. -2 Let n(a) = -a**3 - 6*a**2 + 8*a + 10. Let y be n(-7). Suppose y*p - r + 6*r - 10 = 0, -4*r = -8. Let i = -8 - -12. Solve i*l = -p*l - 16 for l. -4 Suppose 0 = -3*v - 14 + 14. Solve v*w + 2*w + 6 = 0 for w. -3 Let o(s) = s**2 + 2*s - 4. Let h(p) = p. Let n(b) = -2*h(b) + o(b). Let z be n(3). Suppose -4*i - a + 0 + 4 = 0, -8 = 2*i - 2*a. Solve i*j = -z*j for j. 0 Suppose 2*y = -5*y. Solve -2*o = -y*o for o. 0 Let w(p) = -11*p**3 - p**2 - 2*p - 1. Let h = -3 - -3. Suppose h = -0*j + 5*j + 5. Let c be w(j). Solve 3*t + c = -4 for t. -5 Suppose -b + 10*b = 4*b. Solve -2*c + b*c = 2 for c. -1 Let u be 2/(-15) - 2/(-15). Suppose -18 = -4*a - 2*l, u*a = -5*a + 2*l + 18. Suppose a = 2*v - 6. Solve h + v = -0*h for h. -5 Suppose 0 = -6*z + 8*z. Solve o - 2*o = z for o. 0 Let a be (-3)/(-5) - 4/(-10). Let w be (-6)/(a - 2) + -2. Suppose -w*r = 6*b - 4*b - 12, 0 = 2*r + 2*b - 6. Solve r*o + o = 0 for o. 0 Let o(r) = r - 2. Let c be o(4). Suppose 5*l + c*y + 26 = 0, -l - 10 = 5*y - 3*y. Let p be (l - -2) + 4 + -1. Solve p = m - 4 for m. 5 Let g = 20 - 20. Solve g*f - 12 = -3*f for f. 4 Let d be 2/(-3) + (-2)/6. Suppose 0*w = 3*l - 2*w + 4, 0 = -3*l + 4*w - 2. Let b be d + (5 - 2) - l. Solve -o = b*o + 5 for o. -1 Let i(j) = j**2 + 9*j - 7. Let v be i(-10). Solve -v*w - 10 = -8*w for w. 2 Let h be 67/5 - 8/20. Suppose 2*m = 4*q - 4, 0 = 4*m + q + 45 - 10. Let k = h + m. Solve w + 1 - k = 0 for w. 4 Let k(c) be the second derivative of c**5/20 + c**4/4 + c**3/2 + c**2/2 + 3*c. Let f be k(-2). Let u = 0 - f. Solve 0 = q + 3 + u for q. -4 Let w be ((-51)/(-68))/((-1)/(-4)). Solve 2*m + w*m + 5 = 0 for m. -1 Suppose 0 = -t + 5*t + 4*l + 12, 3*t = 4*l + 19. Let x(r) = r - 2. Let h be x(6). Solve h = d + t for d. 3 Suppose 0*t - 2 = -t. Suppose -t*s - 5 - 3 = -q, -4*q + 5*s + 26 = 0. Let n = q + 11. Solve -n = -2*m - m for m. 5 Let k(t) = 3*t**2 + 3*t + 3. Let j be k(-2). Suppose 5*a = 5, -54 - 29 = -3*r + 4*a. Suppose -2*y + 9 = y - d, 5*y + 3*d = r. Solve -j*v + y*v = 5 for v. -1 Suppose 6 = 3*c - 9. Suppose -c*d - 41 = 2*a, 6 + 11 = a - 5*d. Let v be a/20 + (-24)/(-10). Solve -v*k = 2 + 6 for k. -4 Let h be ((-3)/(-2))/((-5)/(-10)). Let p be 1/3 - (-2)/h. Solve 8 = 3*s - p for s. 3 Suppose 47 + 16 = 9*m. Solve -2*a + m*a = 15 for a. 3 Let a(v) = -v**3 - 6*v**2 - 6*v - 3. Let x be a(-5). Solve -7*h + x*h = 15 for h. -3 Suppose -i = 4*z - 13, 0 = -2*z + 2 + 2. Suppose -m - 6 = 4*s, -2*s = i*m + 3*s. Solve -4*w + m*w = 8 for w. -4 Suppose -16 - 12 = -5*p - 3*r, p - r - 4 = 0. Suppose p*f = -0*f. Solve 0 = -3*n - f - 9 for n. -3 Suppose -s + 3*s - 13 = u, 3 = -u. Suppose 14 = -s*c + 54. Solve c = f - 5*f for f. -2 Suppose 15 = 4*q + q. Solve 0 = -2*g - q*g + 5 for g. 1 Let p(o) = -2*o**3 + o**3 - 8 + 9*o + 0*o + 6*o**2. Let g be p(7). Solve 0 = -2*c - 2 - g for c. -4 Let u(l) = -l**2 - 4*l + 6. Suppose 5*c - 31 = z, 5*z - 2*c - 6 + 46 = 0. Let k be u(z). Let r = -4 - k. Solve 0 = -r*h - 8 - 0 for h. -4 Suppose x - 2 = 2*l - 5, -4*l = 2*x + 6. Solve l = -5*s + 3 + 2 for s. 1 Let j be (12/(-24))/(1/(-24)). Solve 2*g = -g - j for g. -4 Let k be (6/3)/(4/6). Suppose -19 = -4*l - 3*d, -k*d - 5 = -0*l - 2*l. Suppose -s + 5*s - 62 = 2*v, 0 = 5*s - l*v - 76. Solve 4*j + s = -0 for j. -4 Suppose 4*t - 4 = 8. Let s = t - -12. Solve -5 + s = 5*l for l. 2 Let n = 46 + -44. Solve -3*t + n - 11 = 0 for t. -3 Let y(v) = -2*v + 1. Let w be y(-1). Let n be 18/10 + w/15. Let m = 3 + 1. Solve n*s = m*s - 4 for s. 2 Let z(n) = -8*n**3 - 4*n - 3. Let f be z(-2). Suppose -2*b - f = -5*w, 0*w + 18 = w + b. Suppose 5*l - w = v + 2, 5*v + 13 = l. Solve 2*x = -l*x + 20 for x. 4 Let k be 0/2 + -2 + 6. Solve -k*z - z = -15 for z. 3 Let n = 56 + -50. Solve -3*m = -n*m + 9 for m. 3 Suppose 6 = 3*a - 3. Suppose -2*c + 11 = a. Solve -c + 0 = -o for o. 4 Let f(j) = -3*j**3 - 3*j**2 - 3*j. Let k be f(-2). Let c be (k/3)/(4/10). Solve 8*v - 3*v + c = 0 for v. -3 Let x be 4/6 - 32/(-24) - 0. Let g be 94/18 + 2/(-9). Suppose -g*z + 7 + 3 = 0. Solve x = z*j - 0 for j. 1 Let o(g) = -16*g**2 - 2*g + 1. Let l be o(1). Let c = -11 - l. Solve 5*p - 4 - c = 0 for p. 2 Let w = 38 + -59. Let b = w + 11. Let l = b + 17. Solve -4*i + l = -5 for i. 3 Let v be 5/((-2)/(2 + -4)). Suppose 0 = -5*g + 3*f + 28, 16 = -f + v*f. Solve 0 = -c - c + g for c. 4 Let j be (2 - -1)/((-5)/(-5)). Suppose 2*h - 4 = -4*l + 20, -j*l = -4*h + 15. Solve -r + h*r = -15 for r. -3 Let p be ((-24)/(-20))/((-6)/40). Let i = -4 - p. Suppose 8 = i*s - 2*s. Solve 25 = s*o + 5 for o. 5 Suppose -25 = -5*p - 5*o, 0*o = -2*o + 6. Suppose 2*n - 2*y + 0 = -6, p*y = -n. Let u be n/(-8) - (-94)/8. Solve -4*x - u = -7*x for x. 4 Let v be (-2 - -1)/(3/(-18)). Solve -5*w - 4 = v for w. -2 Let x be (-3)/9 + 1/3. Suppose -2*d + 7*d - 10 = x. Suppose -d*h = -5*h + 6. Solve -h*p = -0*p for p. 0 Let a(j) = -4*j + 1. Let y be a(-1). Let q = y + -7. Let m = q + 7. Solve -m*o + 2 = -3 for o. 1 Let u be 1*(0 + -1)*-2. Let c be (-2*u + 3)/(-1). Solve c - 16 = -5*y for y. 3 Let k be 2*-1 - (-48)/12. Suppose -g - 2 = -k*g. Solve -3 = -j - g*j for j. 1 Let a = -9 + 9. Suppose u + 0 - 6 = a. Solve 2*i - u - 4 = 0 for i. 5 Let z be 10/(-75) + 64/30. Solve b = -z*b + 6 for b. 2 Let n(o) = o**3 - o**2 + 5. Let i be n(0). Suppose -19 - i = -2*p. Suppose 5*x - 2*l = p, -x = 3*x + l - 7. Solve -x*r = -5*r for r. 0 Let z(n) = -n**3 + 13*n**2 + 4. Let j be z(13). Solve 12 = j*x - x for x. 4 Suppose x + 32 = -3*x. Let r(q) = -q**3 - 8*q**2 - 4*q - 4. Let u be r(x). Suppose -u - 12 = -2*t. Solve s + 3*s = -t for s. -5 Suppose 0 = -3*x + 5*x - 8. Suppose 4*t + x*i - 16 = 0, -t + 20 = t - 4*i. Suppose k + 2*u - t = -2, -12 = -2*k - 2*u. Solve 4*q = -0 + k for q. 2 Suppose -3*n = u + 12, -3 = -0*u - 3*u + 4*n. Let c(a) = 3*a**2 + 8*a + 2. Let r be c(u). Solve -r*b + 7 = -3 for b. 2 Suppose -2*q - 118 = -3*u - 0*u, 5*u + 3*q - 184 = 0. Suppose -8 = 5*t - u. Solve 0 = 4*s - t*s + 8 for s. 4 Let y(a) = a. Let u(v) = 3*v**2 - 2*v - 1. Let p be u(-1). Let m be y(p). Let x be (-8)/(-36) + 4/(-18). Solve x = -m*h - 5 + 17 for h. 3 Let k = 13 + -10. Solve 6*u - k = 5*u for u. 3 Let m(v) = -v**2 - 15*v - 16. Let d be m(-11). Solve -4*x - 8 + d = 0 for x. 5 Let x be ((-20)/(-25))/((-1)/(-5)). Solve -x = -4*r - 24 for r. -5 Suppose -3*o = -9*o + 204. Suppose k + 3*q = 11, 2*q + 4 = -k + 13. Suppose 3*m + 2*m = 3*f - o, -k*m - 40 = -5*f. Solve f*g + 7 = -2 for g. -3 Let x be (-8)/12*(-3 + 0). Suppose 2*p = -x*p + 8. Solve -2*c - p*c = 20 for c. -5 Suppose -2 + 5 = 2*l - n, -l + 6 = 4*n. Suppose l*r + r + 4*f - 188 = 0, r - 60 = -4*f. Let c be 16/(-40) - r/(-10). Solve -j = j - c for j. 3 Let l = -10 + 12. Solve -l*o - o + 6 = 0 for o. 2 Let x(b) = -b**3 - 2*b + 2. Let k be x(0). Solve 6*j = 8*j + k for j. -1 Suppose 8*k + 1 = 10*k + n, -9 = -3*k + n. Let x be (4/6)/((-4)/(-18)). Solve -c + k = -x for c. 5 Let n be 4/1 - 20/10. Suppose 4*t = 18 - n. Solve t*w = 2*w for w. 0 Let q(l) = l**3 - 13*l**2 + 4. Let u be q(13). Solve u*c + 4 = -0 for c. -1 Let n(v) be the second derivative of v**4/6 + v**3/3 + 3*v. Let i be n(-2). Solve i = z - 0*z for z. 4 Let o = -15 - -14. Let b be 0/(o - (-4 + 2)). Let r(c) = 2*c**2 - 2*c + 4. Let s be r(3). Solve 5*t - t + s = b for t. -4 Suppose 5*i - 23 + 8 = 0. Suppose f + 0*f + 4*v = 25, i*v = 9. Let h be (-4)/(-1) + (0 - 1). Solve -h = -4*m + f for m. 4 Let i(q) = 0*q - 5 + q + 18. Let x be i(-11). Suppose t = x + 3. Solve j = 1 - t for j. -4 Let v be 7/(42/4)*-9. Let l be (-3)/v - (-9)/2. Solve -l*i + 0 - 25 = 0 for i. -5 Suppose 5*k - 5 = u + 6, 3*u = -k + 15. Suppose 2*d - k*h + 1 = 20, -5*d - h = -22. Suppose 2*w = 3*w - 2. Solve d*g + w = -3 for g. -1 Suppose -7*n = 4*u - 2*n - 5, 3*u - 3 = -3*n. Solve u*i = 2*i - 2 for i. 1 Suppose -q = 4*q - 25. Suppose 2*w + 7 - 2 = -f, -4*w = q*f + 1. Suppose 0 = s + n - 1 - 6, 27 = 5*s + f*n. Solve v - s = -8 for v. -5 Suppose 0 = -3*l + 3*h - 3, -4*l + 41 = -0*l + 5*h. Solve l*g + 3 + 9 =
{ "pile_set_name": "DM Mathematics" }
e form q*k + l*k**2 + f and give f. 16 Express 10*n + 3*n - 136564*n**2 + 136598*n**2 in the form l + a*n + x*n**2 and give x. 34 Express 256*x + 2 - x**2 - 345*x - 221*x as c*x + d + r*x**2 and give d. 2 Express 107980 + 1147*x - 107980 as r*x + f and give r. 1147 Express -9616 + 506 + p + 4996 in the form i*p + m and give i. 1 Rearrange (-1040 + 1040 + 76*a)*(169*a**2 + 37*a**3 - 169*a**2) to the form g*a**3 + i*a**4 + f*a + l*a**2 + k and give i. 2812 Express (-z - 3*z + z - z**3)*(-13208 + 13208 - 682*z) in the form g*z**4 + r*z**2 + b + p*z + v*z**3 and give r. 2046 Express 9*r**2 + 36*r**2 - 2 - 43*r**3 + 11*r - 21*r + 38*r**3 + 9*r in the form f*r + i + o*r**2 + v*r**3 and give f. -1 Express ((5 - 3 - 4)*(0 + 2 + 2) + (0 - 6 - 1)*(-2 - 3 + 6))*(1 - 1 - f + (-2*f + 2*f - 2*f)*(-3 + 0 + 1)) as h + s*f and give s. -45 Rearrange (29 + 3 + 41 + 44 - 26)*(14 + 29*m**2 - 14) - 4*m**2 + 2*m**2 - 4*m**2 to the form y*m + x*m**2 + t and give x. 2633 Rearrange -y - y + 50*y**2 + 40*y**2 - 27*y**2 - 11 to the form i + x*y + v*y**2 and give i. -11 Express (200*q**3 - 376*q**3 - 1025*q**3)*(3 - 6 + 9) in the form o*q + x*q**2 + h + m*q**3 and give x. 0 Express -479 - 27*r + 479 - r + r + r + (-2*r - 2 + 2)*(3 - 1 + 10) as f*r + z and give f. -50 Rearrange 1217365*t + 177*t**2 - 1217364*t + 1 + 289*t**2 to the form n*t + s + h*t**2 and give n. 1 Express (2 + 0 - 3)*(3*b - 6*b + b) + b - 2 + 2 + 3*b - b + 0*b + 2885*b - 778*b + 858*b as x*b + z and give x. 2970 Rearrange (20*r - 103 + 103)*(r + 2*r - r) - 3*r**2 + r**2 - 2*r**2 + (r - 2*r - r)*(-2*r - 2*r + 3*r) to the form p + c*r + b*r**2 and give b. 38 Rearrange (6 + 10*z - 6 - 4*z + 5*z - 2*z + (-3 + 3 - 1)*(0*z + z + z))*(-36 - 6007*z - 7474*z + 36 - 1759*z) to the form h + u*z + n*z**2 and give n. -106680 Express (2*p + 0 + 0)*(-p**2 - 6*p**2 + 5*p**2) - 2*p**2 - 86*p**3 - 17*p**3 + 1187*p + 97*p**3 in the form c*p**2 + l + y*p + g*p**3 and give y. 1187 Rearrange j**2 - 3*j + 3*j + (2*j**2 - 5*j**2 - 3*j**2)*(882 - 553 - 654) to the form d + q*j + w*j**2 and give q. 0 Express -252120 + 0*t + 250972 - 2*t**2 + 0*t as h*t + u + f*t**2 and give u. -1148 Express (-1 - 6 + 4)*(15 + 2 + 14 + d)*((0 + 0 + 5*d)*(-3*d + 6*d - d) + (-4 + d + 4)*(-1 + 1 - 2*d)) in the form t*d**3 + b + p*d**2 + l*d and give p. -744 Express 141183*i**3 + i**4 - 15*i**2 + i - 141182*i**3 + 54*i**2 in the form m*i**2 + n + a*i + l*i**4 + r*i**3 and give a. 1 Express (o**2 - 5*o**2 + 5*o**2)*(13 + 69 + 45 + (5 - 5 + 2)*(1 + 5 - 2)) as n*o + m + p*o**2 and give p. 135 Rearrange (-45485*x**4 + 206*x**2 + 94*x**3 + 3457*x**4 - 94*x**3 - 206*x**2)*(3 - 1 + 0) to the form f*x + q*x**3 + u + w*x**4 + y*x**2 and give w. -84056 Express 64 - 1950*h - 78*h - 64 in the form u*h + z and give u. -2028 Express (71 - 71 + 32*a)*(132 - 249 + 134 - 6*a) as u*a**2 + o*a + x and give o. 544 Rearrange (-2*w**2 - 1 + 1)*(208*w + 220*w - 422*w - 5)*(-5 - 3 + 2) to k*w + z*w**3 + l*w**2 + y and give y. 0 Express -2*h**4 - 11776*h**2 + h**3 - 2*h + 11342*h**2 + 0*h**3 - 2 + 3*h**4 in the form y*h**3 + z + o*h**4 + s*h**2 + m*h and give o. 1 Express 8*j**2 + j + 9*j**2 - 58*j - 25*j**2 + 115*j + 3 in the form t*j + x*j**2 + a and give t. 58 Express ((-2*r + 1 - 1)*(3 + 5 - 1) + (-1 + r + 1)*(5 - 2 - 2))*(-5 + 11 - 26)*(9*r - 10 + 10) + 0*r**2 + 2*r**2 - r**2 as b*r + j*r**2 + y and give j. 2341 Express (2 + 0 + 0)*(-15*r**2 + 168474*r - 387*r**2 - 168474*r) as p + n*r + f*r**2 and give f. -804 Rearrange 140*q**2 - 212*q**4 - 49*q**2 - 46*q**2 - 245 - 44*q**2 + 236 to the form u + y*q + n*q**3 + r*q**2 + j*q**4 and give u. -9 Express (l + 1 - 1)*(0 - 2 + 1)*(-158 + 332 - 148 + (2 - 6 + 0)*(5 - 2 - 4)) as a*l + c and give a. -30 Express -1582*v**2 - 1575*v**2 - 1578*v**2 - 194 + 4733*v**2 + 2556 + 2*v in the form z*v**2 + k*v + y and give k. 2 Express (-u + 0*u - u)*(84 + 90 + 16052) as i*u + x and give x. 0 Rearrange -10189*s**2 + 121085 + 121090 - 242175 to q*s**2 + f + o*s and give q. -10189 Rearrange ((0 + 3 - 1)*(2 + 2 - 1)*(4 - 8 - 2) + 4 - 4 - 2)*(-23 - 9*v + 23) to the form n + z*v and give z. 342 Express -k**2 + 80*k**3 - 94*k - 29*k + 76*k**3 + 78*k**3 + 2*k**4 - 235*k**3 + 1 as i + r*k**4 + c*k**2 + v*k + g*k**3 and give v. -123 Rearrange -2*d**2 - 28*d**3 + 5*d**2 - 51 + 52 to the form b*d + l*d**3 + x + n*d**2 and give n. 3 Rearrange 7 - 10 - 7338*q**2 - 3*q + 7340*q**2 - 43*q**3 - 47*q**3 to the form k + f*q**2 + w*q**3 + z*q and give z. -3 Express (741*u**3 + 617*u**3 + 580*u**3)*(-4*u + 5*u + u) as h*u**4 + k*u**2 + d + i*u**3 + t*u and give h. 3876 Rearrange (2 - 7*n - 2*n + 0)*(12174*n - 12174*n + 784*n**2) to the form p*n + q + u*n**3 + x*n**2 and give x. 1568 Rearrange -321*c + 2825*c + 692*c + 396*c to the form n + s*c and give s. 3592 Express (-538*d - 112*d - 7*d)*(57 - 23 - 2*d - 26) as g + k*d**2 + m*d and give k. 1314 Rearrange -81*v - 1037 - 78*v - 85*v - 85*v + 331*v to g + d*v and give d. 2 Rearrange -d + 0*d - 3*d + (-3 + 4 - 4)*(-2*d + 2*d + 3*d) + 0*d + 4*d - 3*d + 7*d + 3*d - 3*d to y*d + n and give y. -5 Express o**3 + 25*o**4 - 54*o**4 + 1 - 2*o + 3*o**2 + 24*o**4 - 2*o**3 as g*o**4 + b*o**3 + j + c*o**2 + p*o and give j. 1 Express -79*m**2 + 291*m**2 - 87*m**2 - m**3 - 79*m**2 - 68*m**2 - 5*m in the form q*m**2 + x*m + v*m**3 + l and give x. -5 Rearrange 1449 + 1449 - 4348 + 1450 + 19216*x to z + i*x and give i. 19216 Rearrange -7303*o - 318*o - 7250*o + 273*o to the form g*o + i and give g. -14598 Rearrange (1 - 1 + 2*s + (0 - s + 0)*(-2 + 2 - 2) + 387*s - 74*s + 135*s + 424*s)*(0 - 12 + 5 - 2*s**2) to the form m*s**2 + b*s + f*s**3 + a and give f. -1752 Express -3497*f**3 - 71 + f + f - 3*f**4 + f**4 + 3493*f**3 in the form q*f**4 + s*f**2 + u*f**3 + m + x*f and give m. -71 Express 6126*z - 6126*z - 684*z**3 + (2*z + 4 - 4)*(2*z**2 + 2*z**2 - 5*z**2) in the form p*z**3 + g*z**2 + a + n*z and give p. -686 Express 119*k**3 - 18 - 121*k**3 + k**4 - 11 + 77*k**3 in the form l*k**2 + i*k**4 + p*k**3 + s + v*k and give p. 75 Express ((-z - 8*z + 4*z)*(2 - 2 + z) + ((-2*z + 3*z - 2*z)*(-2 + 4*z + 2) - 4*z**2 - z**2 + 4*z**2)*(3 - 1 + 3))*(-2 - 7 - 5) as d*z + n*z**2 + v and give n. 420 Express (37*j - 2394 - 2390 + 4782)*(11*j - 10*j + 11*j) in the form l*j + r + i*j**2 and give i. 444 Rearrange -2*b**2 + 8*b**3 - 9*b**3 + 0*b**2 + 3826*b - 2*b**4 - 3825*b - 33 to a*b + s + c*b**2 + u*b**4 + m*b**3 and give s. -33 Express 109*s**4 - 56*s**4 + 206*s**3 - 340*s + 1 - 204*s**3 - 55*s**4 as n*s**2 + o*s**3 + j*s + p*s**4 + q and give o. 2 Rearrange -6*z**3 + 4058 + 589 + 4*z**3 + 0*z**3 + 945 to h*z**2 + l + d*z + x*z**3 and give h. 0 Express 8*k**3 + k**4 - 92*k**3 - 64*k**3 + 0*k**2 - 3*k**2 in the form i*k**2 + v + t*k**4 + c*k + y*k**3 and give t. 1 Rearrange -22 - 16480*l - 3738*l - 12 + 34 to i*l + s and give i. -20218 Express (-3*k - 9*k - 6*k)*(26*k - 1430 + 1430) + 1 - 1 + 4*k**2 in the form b*k + q*k**2 + u and give q. -464 Rearrange -23*f**2 - 3*f - 19 - 9 + 2*f + 23 to the form a*f + n + v*f**2 and give n. -5 Rearrange -48*h**3 + 2*h**2 + 26*h**3 + 2*h + 25*h**3 + 3 + (-3*h**2 + h**2 - h**2)*(14*h + 4*h + 25*h) to the form i*h + o + v*h**2 + w*h**3 and give o. 3 Express (4889 + 1873 + 3686 + (0 - 1 + 0)*(3 - 6 + 2))*(0*v**2 - 2*v**4 + 0*v**2) as u*v**4 + y*v**3 + j*v + l + h*v**2 and give j. 0 Rearrange 26*c**2 + 22*c**2 + 0 - 336*c**2 - 110*c**2 - 3 to d*c**2 + q*c + a and give a. -3 Express (3*b + 2*b**2 + 1 - 8*b**2 + 5*b**2)*((-3 - 4 + 4)*(5*b - 2*b - b) + (7*b + 22 - 22)*(-2 + 1 + 3)) as h*b + j*b**2 + i + w*b**3 and give j. 24 Express -335*o + 796*o + 1015*o + 289*o as t*o + g and give t. 1765 Express 689 + t + 2*t + 4*t - 6*t - 2*t in the form y + z*t and give z. -1 Express -1229*i**2 - 2091*i**2 - 2*i**3 + 3322*i**2 - 1597*i in the form q*i**2 + d + c*i**3 + x*i and give c. -2 Express 48784 - 9*o**2 + 75*o - 48784 as d*o**2 + q*o + h and give q. 75 Express u - 10*u**2 - 2*u**2 - 436 + 14*u**2 + 15*u**3 - 5*u**3 as v*u + y*u**2 + t + f*u**3 and give y. 2 Rearrange 3282*a**2 - 2*a**3 + 597 - 234 - 1643*a**2 + a - 1642*a**2 to the form f*a**3 + k*a + c*a**2 + j and give k. 1 Express -4*a**4 + 11*a**4 - 542*a**3 - 2*a**4 - a**4 + a**2 - 3*a**4 + 1 in the form r*a**3 + h*a + x + i*a**2 + l*a**4 and give x. 1
{ "pile_set_name": "DM Mathematics" }
be c/((-63)/(-2)) - b/(-9). Solve m*f - 3*f = -15 for f. 5 Suppose 2*g + 58 = 4*t, -3*t + 3*g = -34 - 8. Suppose 0 = -t*d + 9*d. Solve -2*w + d*w + 10 = 0 for w. 5 Let k = 46 + -30. Let w(b) = -b**3 - 15*b**2 + 3. Let o be w(-15). Suppose 4*a + 3*y + 9 = -a, -y = -3*a + o. Solve a = -0*z - 4*z - k for z. -4 Suppose -2*k - 15 = -7. Let m(f) = -11*f**2 + 24*f - 1. Let h(z) = 2*z**2. Let p(a) = k*h(a) - m(a). Let o be p(8). Solve o - 4 = -s for s. 3 Let r be -2 + 6 - (3 - 3). Suppose q + 8 = 3*q + r*y, -3*q - 2*y = -16. Let t = q + 0. Solve t*u - 4 = 2*u for u. 1 Let w be (108/(-84))/((-9)/42). Solve 0 = w*j - 108 + 60 for j. 8 Let g(x) = 2*x + 4. Let j be g(5). Suppose 2*o + 4*m + j = 0, 2*o - 5*m + 28 = -2*o. Let p = o - -11. Solve -q = -p*q - 15 for q. -5 Suppose 0 = -4*f - 2*j + 152, 193 = 5*f - 954*j + 957*j. Solve 0 = f*b + 2*b - 222 for b. 6 Let c(m) = -m**3 - 12*m**2 - 13*m - 7. Let j be c(-11). Suppose 4*w + 5*n + 13 = 0, 11 = -115*w + 117*w - n. Solve -w*r - 3 = -j for r. 4 Suppose -170 = 3*u - 173. Let c be (-3 + u)/(-10) - 18/(-10). Solve 4*o = c*o for o. 0 Let i(c) = -8*c - 14. Let d = -23 - -21. Let y be i(d). Solve -r = y*r - 6 for r. 2 Let h = 17529 + -17454. Solve -40 = -h*y + 83*y for y. -5 Let n be 4/(-16)*2*(2 + -2). Let b(s) = -7*s + 7. Let q be b(4). Let f = q + 21. Solve n = -f*h - h for h. 0 Let z(p) = -p + 9. Let l be z(6). Suppose o = -0*w + 5*w - 3, 3*w + l*o + 9 = 0. Let y be -3 + 12/(2 + w). Solve 0 = 2*x - x + y for x. -3 Suppose p + 0*o + 2*o = 16, -2*p = -4*o - 24. Suppose 84 = 20*s - p*s. Suppose -1 = -3*x + s. Solve x = 3*i - 10 for i. 5 Suppose 45*s - 5*p - 35 = 44*s, 4*p + 28 = -3*s. Solve s = 10*k + 1933 - 2013 for k. 8 Let f(o) = -o**3 - 23*o**2 - 6*o - 89. Let k be f(-23). Solve 159 = k*b + 502 for b. -7 Suppose 14*a - 44545 + 44503 = 0. Solve -3 + 15 = -a*y for y. -4 Let n(x) = 82*x + 587. Let l be n(-7). Solve -27*m + 70 = -l*m for m. 5 Let z be 3/(-4) - 3225/(-12). Let q = -265 + z. Solve -p + q = -1 for p. 4 Let o(v) = -v**3 - 7*v**2 - v - 5. Let s(u) = -u**2 + 4*u - 2. Let x be (-40)/12*12/(-8). Let w be s(x). Let m be o(w). Solve -m*f = -f for f. 0 Let b be ((-3 - 0) + 18)*855/225. Solve 0 = 25*x - b - 68 for x. 5 Let x be -11*10/(-55)*123. Let a = -19 + 12. Let o be x/21 - 2/a. Solve 5*n = 2*n + o for n. 4 Let r be 165/(-60)*(0 - 60). Solve 158*q - r*q = -35 for q. 5 Let f(c) = -c**2 + 21*c - 40. Let b be f(17). Suppose 5*w + 5 = 0, -6*z = -2*z - 4*w - b. Solve 12*i = z*i for i. 0 Let s be (6/(144/8))/(1/36). Suppose 0 = 30*h - s*h - 378. Solve 4*c + 3*c + h = 0 for c. -3 Let k(c) = -c - 1. Let y(d) = -3*d**3 - 2*d**2 + 2*d - 1. Let x be y(1). Let s be k(x). Let o be (1 - (s + -5)) + -1. Solve o*a + 0*a = 0 for a. 0 Let o(l) = 3*l**3 - l**2 + 5*l - 12. Let d be o(2). Solve -20*b = -d*b - 6 for b. 3 Let z = -7297 - -7298. Solve -57 = 28*s - z for s. -2 Suppose 2*k + 10 = 4*w, -10 = 2*w - k + 3*k. Suppose w = -194*u + 205*u - 22. Solve -6*f + 4 + u = 0 for f. 1 Let d be (-7 - -61)*30/20. Solve 0 = 5*x - 56 + d for x. -5 Suppose 5*w - 902 = -3*r, 0 = 4*r - 3*w + 6*w - 1210. Suppose -17*o - 2*o + r = 0. Solve -o*g + 20*g = 0 for g. 0 Suppose 2*w + g = 1, 63*w + 2*g = 68*w + 2. Solve w = -12*l - 10 - 26 for l. -3 Suppose 3*p + h - 4 = 0, -4*p + 8*p - 4*h - 32 = 0. Solve 0 = -p*g + 6*g - 6 for g. 2 Let w(a) be the first derivative of -a**3/3 - 7*a**2/2 + 3*a - 3. Let d be w(-7). Let s(q) = -66*q + 1718. Let c be s(26). Solve d*b = c*b - 3 for b. -3 Suppose 4*a = 3*a + 3. Let l be (-1)/a - (-76)/12 - -3. Suppose -l = -15*g + 21. Solve g*c - 3*c = 5 for c. -5 Let r(n) = -n + 8. Let j be r(3). Suppose -k = -j*x + 13, 2*k + 2*x - 2 - 8 = 0. Suppose -b + 2*w - k = 1, -4*w = 4*b - 24. Solve -b*c - 16 = -1 for c. -5 Suppose -12*t = -17*t - 70. Let o be (-46)/t - (-6)/(-21). Solve -o*g = -5*g + 6 for g. 3 Let b be -158*(-2)/(-14)*(-91)/(-26). Let n = b + 52. Let d = n - -32. Solve -5*k + d = 20 for k. -3 Suppose -4*z = -3*y + 28, -18*z + 14*z + y - 28 = 0. Let d be (2 - 3) + (-3 - z). Solve v = -d + 7 for v. 4 Let l(a) = -378*a + 2315. Let f be l(6). Solve 41*x = f*x for x. 0 Suppose 0 = -3*y + 4*k - 2*k + 17, -2*y + 4*k + 14 = 0. Let h = -287 + 291. Solve -y*s = -h*s for s. 0 Let k(m) = -57*m + 1162. Let w be k(20). Solve 8 = 30*l - w for l. 1 Suppose 204 = -0*t - 19*t + 6797. Solve -t*b + 328*b = -133 for b. 7 Suppose 4*i = 5*i - 2*i. Suppose i*y = -3*y + 9. Suppose 5*p = m - 21, -2*p - 7 = -2*m + y*m. Solve -3*h + 2 + m = 0 for h. 1 Suppose -71*v + 135*v - 512 = 0. Solve 0 = -v*r - 37 + 5 for r. -4 Let p = 592 + -575. Suppose b + p = 5*a - 0, -3*b + 9 = 5*a. Solve -2*v + 10 = a*v for v. 2 Let v(g) = g**3 + 3*g**2 - 3*g. Let p be v(-4). Let z be 26/22 - p/(-22). Suppose -8 = -9*o + 5*o. Solve o = i - z for i. 3 Let a be (-5)/((-20)/256) - 2. Let y = a - 34. Suppose 3*o + h + 3*h = y, -4*o + 4*h = 0. Solve d = o*d - 3 for d. 1 Let c = -7207 + 7211. Solve 0 = -2*h - c*h - h for h. 0 Suppose -2*g + 5*k + 52 = 36, -g + 5*k - 2 = 0. Solve -g*d = -42*d - 120 for d. -5 Suppose -141 = 4*n - 4*g - 173, -2*g = 4*n - 56. Solve 62*r - 66*r - n = 0 for r. -3 Let m be (-1 - 32)/(3/3). Let q = 71 + m. Suppose 3*h - q = -a, 4*a - 99 = h + 40. Solve 15 = -4*d + a for d. 5 Let v = 2168 + -2148. Solve d + v*d = 0 for d. 0 Let g = -182 - -100. Let r = -72 - g. Suppose -r*c - 3*c = -3*c. Solve c = -z - 4*z for z. 0 Let z = 3690 - 3681. Solve -220 = -z*b - 184 for b. 4 Let u(h) = -9*h - 32. Let j be ((-32)/40)/(2/10). Let k be u(j). Suppose -2*o - 4 = -4*o. Solve 3*b - o - k = 0 for b. 2 Suppose -64 = -y - 4*f, -26*f - 104 = -4*y - 23*f. Solve 61 - 317 = y*n for n. -8 Let p be (-15)/(-360)*-93*-8. Solve -p*y - 141 - 45 = 0 for y. -6 Let q(a) = 14*a**2 + 233*a - 387. Let r be q(-19). Solve 0 = r*d - 233*d + 28 for d. -4 Let f(u) = 84*u + 1. Let y(v) = 84*v + 2. Let s(k) = -4*f(k) + 3*y(k). Let p be s(-1). Let r = p + -78. Solve 2 = 5*a - r for a. 2 Let i = -7526 - -7739. Solve 203 = -2*m + i for m. 5 Suppose 2*r = -3*f, -r - 3 + 5 = 2*f. Let w be 1*(12/r + 7). Suppose 2 = 4*x + 2*o, 5*x - 9 = x + 5*o. Solve -6*m + w*m = x for m. -1 Let u(k) = 3*k**2 - 65*k - 357. Let w be u(-5). Solve w*m + 4*m = -47 for m. -1 Suppose 0 = -5*h - 4*t + 132, 3*t - 593 + 488 = -4*h. Solve 12*i - 12 = -h for i. -1 Let q = 59 - 59. Let f be q/(36/8*4/6). Solve 0*z + 2*z = f for z. 0 Let z(s) = -s**3 + 26*s**2 + 231*s + 3. Let u be z(33). Let b = 15 - 6. Solve -u*o - b = 6 for o. -5 Let m(g) = -g**3 - 5*g**2 - g - 3. Let j be m(-5). Let b be (-99)/4*(-960)/(-90). Let q = b - -267. Solve 5 = q*k + j for k. 1 Suppose 45*j + 788 = 44*j. Let y = 792 + j. Solve -y + 20 = 4*b for b. 4 Let h be (57 + 29 - (5 - 2)) + 7 + 5. Solve -7*u + h = 60 for u. 5 Suppose -5*t + 2 + 8 = 0. Suppose -5*q + t = -4*q. Let g be 2*(2/(-12) + 98/21). Solve q*z + z - g = 0 for z. 3 Let f(y) = y**2 + 7*y + 6. Let g be f(-6). Suppose 3*i - 4 = b, g = -4*b + b - 5*i - 40. Let h(z) = -2*z. Let l be h(b). Solve 0 = -0*n - 4*n - l for n. -5 Let m be -1*3*8/(-6). Let s = -36118 - -36132. Solve -6*h + s = -m for h. 3 Suppose 0 = 17*w + 3413 - 8394. Solve 0 = 2*z + 289 - w for z. 2 Suppose -57*g + 1974 = -1047. Solve 6*c = -47 + g for c. 1 Suppose 5*c + 5*g - 20 = 0, 2*c - 3*g - 33 = -0*c. Suppose h + 30 = 2*f, h = 5*f + c - 42. Let u = h - -28. Solve u*y + 1 = y for y. 1 Let u(g) = g**3 + 95*g**2 + 1949*g - 39. Let f be u(-65). Solve 0 = -3*d - 20 + f for d. 2 Suppose 0 = 5*a + 6*j - j - 40, 0 = 2*j - 2. Let s(w) = -4*w**2 + 28*w + 7. Let p be s(a). Solve -12 = -i + p*i for i. -2 Let x be 1 + (-1)/(-2*(-3)/(-6)). Suppose 2*z - 54 = 5*i + 14, 0 = -x*z - i + 68. Suppose -z = 5*u - 54. Solve -2*b - 2 - u = 0 for b. -3 Let h be ((-208)/6)/(-6*1/9). Suppose -53 = -i - h. Solve i + 11 = -4*q for q. -3 Let x = -4164 + 4249. Solve -94*w + x*w - 54 = 0 for w. -6 Let o be (23/3)/((-2)/(-12)). Suppose -3*d - 5*l - 16 = 0, 0 = 5*d - 5*l + 6 - o. Solve d*s - 12 = -6 for s. 2 Let n = -20 - -25. Suppose 7*d - 396 + 368 = 0. Suppose -4*p + 11 = b, -5*p + 0*b - 3*b = -12. Solve -d*m = -p - n for m. 2 Let p(i) = -2*i**2 - 186*i - 853. Let c be p(-88). Solve c*x - 35*x = 32 for x. -4 Let y be (-14)/1*(20/(-8) + 2). Let f be y + (2 + 1)*8/(-12). Suppose f*l - 5*g = 45, 6*l - 5 = l - 5*g. Solve -6*z = -z + l
{ "pile_set_name": "DM Mathematics" }
/5))*q*q/(q/(q**1/q))*(q**(-1)*q)**23*(q**(-1/6)*q*q**3)**(-47) assuming q is positive. q**(-5417/30) Simplify ((x*x/(x*x*(x**47*x)/x)*x)/x**(-46))/(x**24*x**(-3/25)) assuming x is positive. x**(-597/25) Simplify (((r/(r/((r/(r*r/r**9))/r))*r*r*r**(3/5))**(-3/13))**(-30))**(11/6) assuming r is positive. r**(1584/13) Simplify (k/k**(-34)*k*k**24)/(k**(-1/40)/k**(2/5)) assuming k is positive. k**(2417/40) Simplify a/((a/(a/(a/a**(1/7)))*a)/a)*a/((a*a/a**(1/6)*a)/a*a)*a**(2/15)*a*a**(-1/3)*(a**12*a/(a/(a/(a/a**0))))**(-19/3) assuming a is positive. a**(-16147/210) Simplify (((x**(1/4)/(x**(-48)/x))**(-2/39))**7)**(2/19) assuming x is positive. x**(-1379/741) Simplify ((((j/j**(2/3))**(-2))**(-25))**(-17))**15 assuming j is positive. j**(-4250) Simplify ((d/(d/(d*(d*d**(-2/5))/d)*d*d*d))/d*d**(-3)*(d/(d**(-2/7)*d*d))**(-38/3))/((d/(d*d**(-2)))**(-6/29))**1 assuming d is positive. d**(9322/3045) Simplify ((l*l**(-1/2))**(-18)/(l**(-3/7)*l**(4/11)))**(9/8) assuming l is positive. l**(-774/77) Simplify (z**(-1))**(-1/3)/(z/(z**(-4)*z*z)*z**(-2/7))*(z**(-2)*z**(-4))/((z/(z/z**(-2/13)))/z*z**(1/8)) assuming z is positive. z**(-16057/2184) Simplify (t*t/(t*t**(3/7))*t**(-2/7)*(t**(-2/9))**(-36))/((((t*t**(1/10)/t)/t)/t)/t**8)**6 assuming t is positive. t**(2369/35) Simplify n**(-26)*(n/(n/(n/(n**(2/45)/n))))/n*(n**(23/3)/n*n*n)/(n/(n*n/(n/n**23))) assuming n is positive. n**(298/45) Simplify (b/b**0)/b**(2/13)*b*b*b*b*b/(b*b**(3/5))*b*b*b**(2/33)*(b/(b*b*b**(2/7)*b*b*b)*b**(-4))/((b/(b*b**(-2)))/b)**(-11) assuming b is positive. b**(135451/15015) Simplify ((j**(2/5))**(-34)*(j/j**(-2/5))**(-1/17))/(j**(-5/3)*j*((j/(j/(j/(j/(j/j**(-3/5))))))/j)/j)**(-3/40) assuming j is positive. j**(-5849/425) Simplify ((d/(d**0/d))**32/((d/((d*d**1)/d))/d*d)**28)/(d**3*d/(d*d**(-2)))**9 assuming d is positive. d**19 Simplify ((t*t**1)/t*(t*t**3*t)/t)/(t*t*t*t**(-1))**40*(t**(-1))**(-28)*(t*t**(-1/3)*t)**(-35) assuming t is positive. t**(-316/3) Simplify (d**(-1/2)*d*d*d**(3/5)*d**(4/7)/d**(-5))/(d**(3/5)/d*d**(-1/2)/d*(d/((d/(d/((d**0/d*d)/d)*d))/d))**(2/19)) assuming d is positive. d**(1217/133) Simplify ((g*g**(-2/5)*g)**(-4/19)/(g/(g**(1/2)*g)*(g/((g**(-3)*g*g)/g)*g)/g))/(g*g**6/g*g*g/g**(-1/3))**12 assuming g is positive. g**(-19539/190) Simplify z*z/z**(-5)*z**1*(z**(-1/3))**20*(z*z/((z/(z/(z**3*z*z*z)))/z))/(z*z/z**(-3/4)*z)*z**(-3/7)*z**(-5) assuming z is positive. z**(-911/84) Simplify (b/(b**17*b)*b/b**(6/19)*b)/((b*b*b/b**(-49))/b)**21 assuming b is positive. b**(-20640/19) Simplify ((d**0)**(-3/4))**18/((d**(-2/19)/(d*(d/((d*d**(3/2)*d)/d))/d))/(d/(d*d*d*d**0)*d*d)**(-7)) assuming d is positive. d**(-53/38) Simplify ((s**3/s)**(3/43))**47/(s**(-1)/s**(-2/19))**(2/63) assuming s is positive. s**(339016/51471) Simplify ((u*u**(-5)*u**(-1/10)*u*(u*u**(3/4))/(u**9/u))**(-23/4))**6 assuming u is positive. u**(12903/40) Simplify ((w*w**(-5)*w**(5/3)/w)/((w*w**2*w*w*w)/((w/((w/w**(2/7))/w*w))/w)))/((w**(-1/4))**(-42)*(w**(-1))**(-21)) assuming w is positive. w**(-1745/42) Simplify ((((((t/(t**(-1/4)/t))/t)/t)/t)**(2/41)/(t/(t*t**(1/3)))**(-26))**(-1/9))**(-18) assuming t is positive. t**(-2141/123) Simplify (((u**(3/5)*u*u**(5/3))**(2/25))**(2/13))**41 assuming u is positive. u**(8036/4875) Simplify ((b**2)**(10/9)/(b**(-2)/b)**(-3))/((b/((b**(-1/4)/b*b)/b))**(-41)/(b/b**4*b*b**(-4/7))) assuming b is positive. b**(20891/252) Simplify (r/r**(-8)*r**8*(r*r*r/(r/(r*r**(4/3)))*r)**(-2/117))**(-23) assuming r is positive. r**(-136505/351) Simplify ((n*n*n**(3/22))/n**8*n**(-7)/(n/n**(3/31)))**6 assuming n is positive. n**(-28167/341) Simplify (g/(g/g**8)*g/((g/g**(-1/7))/g)*g/(g/g**(-8))*g*g*g/(g**(-4)/g))/((g/(g/g**3))**5)**38 assuming g is positive. g**(-3928/7) Simplify (i**2*i)**(-36)*i**(-1/4)/(i**(1/6)/i*i*i)*(i/(i/i**(6/11)))/i*i**(-7)*(i**(-1/2))**(-30) assuming i is positive. i**(-13447/132) Simplify (t**(-4)*t*t**(-2/7))/(t/t**(1/2))**(-6/17)*((t*t**(-1)/t)/((t*t/t**(-3))/t))/(t*t*t**(-2)*t)**(-13/4) assuming t is positive. t**(-2313/476) Simplify ((h**1/h*h)**(-36)*h**2/(h*h**(-4/9)*h))/((h*h*h**(-4))/h**(-8))**(-5/6) assuming h is positive. h**(-275/9) Simplify ((n**7*n**4/n*n)/(n*n/(n*(n*n**(4/7))/n)*n/(n/(n*n**(-7)))))/((n/(n/(n*((n/(n**(2/5)*n))/n)/n)))**(-2/171)*(n*n**(-2))**25) assuming n is positive. n**(248707/5985) Simplify (y/(y*y/(y/y**(1/31))))**(23/3)*y/(y/y**(5/9))*y*y**35*y assuming y is positive. y**(10409/279) Simplify ((x*x**4)/x**7*x**1*x**(-3/7))/((x**1/((x**(-8)*x*x)/x))/(x/(x*x**1))**(10/7)) assuming x is positive. x**(-76/7) Simplify (a**(-4)/(((a/(a**(-9)/a))/a)/a))/(a/a**(-1)*a/a**(2/7))*(((a**(-4)/a*a)/a)**36)**16 assuming a is positive. a**(-20270/7) Simplify ((a**(-1/2)/a*a**5*a*a*(a**(-2)*a)/(a/a**(-1/7)*a*a))**47)**(-1/9) assuming a is positive. a**(-893/126) Simplify (b*b**9*b*b**(2/13))**(-2/61)/((b**6/(b*b/((b*b*b**(1/5)*b)/b)))/((b*b/b**(2/5))/(((b/b**(-4))/b)/b))) assuming b is positive. b**(-31584/3965) Simplify (f*f/f**(-8)*f*f*(f/(f**(-2/7)*f))/f)**(-5/13)/((f*f**(-2/3))**(-18)*(f**7*f)/(f*f/f**(-2/13)*f)) assuming f is positive. f**(-290/91) Simplify ((s/(s**(-2/7)/s)*s)**(-10/11)/(s*s*s/((s**1*s)/s))**(11/4))/(s**8*s*s**(-2/21))**(-25) assuming s is positive. s**(98929/462) Simplify ((b**(2/5)/(b**2*b*b))/(b*b**(2/11)*b*b/b**3))/(b/(b/(b/b**(5/6)))*b*b*b**(-2/7)/b*b*(b**4*b*b)/b**(2/7)) assuming b is positive. b**(-26281/2310) Simplify ((m**(1/48)*m)/(m/(m/(m/(m*m**2))*m))*(m**(3/16))**(-3/13))**(8/3) assuming m is positive. m**(1241/117) Simplify ((q**(10/13)/q**18)/(q**(-4/11))**22)**21 assuming q is positive. q**(-2520/13) Simplify ((t**(2/3))**(-2/119))**(-1/2)/(((t*t**(-7)*t)/t**3)/((t/t**(-8))/(t*t/((t*(t**(-5)*t)/t)/t)))) assuming t is positive. t**(3572/357) Simplify ((c**(3/5)/c*c**(-5))/(c*c/c**(-2/9))**30)**28 assuming c is positive. c**(-30268/15) Simplify ((x**(-2/23)/x**13)/((x/(x/((x/(x**(-7)*x))/x)))/x**14))**(-44) assuming x is positive. x**(5148/23) Simplify (q/((q/q**2)/q)*q*q**8*((q/(q*q*q/(q*q**(-1/3)/q*q)*q))/q)**37)**(-1/15) assuming q is positive. q**(334/45) Simplify (q**(3/8)*q/((q/((q**(-4)*q)/q))/q))**(-3/25)/(q/q**(1/4)*(q*(q**(-3/4)*q)/q)/q)**40 assuming q is positive. q**(63/200) Simplify ((((f*f*f**22*f)/f)/(f/(f**(15/7)*f)))/(f/(f*f**(2/67)))**(-1/42))**(-8/9) assuming f is positive. f**(-294256/12663) Simplify (y**28*y*y*(y*y**(-11/4))/y*(y/y**(1/24)*y)**(-46))**13 assuming y is positive. y**(-4901/6) Simplify (((j*j/((j*j*j/(((j/j**(-1/5))/j)/j))/j))/j)/j*j**8)**48*(j/(j/j**(-2/7)))**(-30)*j*j/(j**(1/3)/j)*j*j/j**(1/4) assuming j is positive. j**(110287/420) Simplify (u**(1/3))**(14/9)/((((u*u**(-1/10))/u)/u)/(u/u**(2/9)))*(u**(-3)*u*u**(-4/7)/u*u)/((u*u**(-2/7)/u)/u)**(-20) assuming u is positive. u**(-48931/1890) Simplify (j**(-3/5)/(j*j*j/j**(-2)))**(-2)/((j**(1/4)*j*j**(2/3)*j*j)/((j/j**(-3/5)*j)/(((j**(-1/3)/j)/j)/j))) assuming j is positive. j**(793/60) Simplify ((f/(f**1/f))**(-26/7)*(f*f**(-6))/f*f*f**(-1/2))/((f**(-2/5)*f*(f*f*f**(-2/15)*f)/f)/(f**2*f*f*f**(4/9))) assuming f is positive. f**(-4559/630) Simplify (q*(q*q**50*q)/q*q**(14/3))/(q**(-3/28)*q**(-19)*q) assuming q is positive. q**(6281/84) Simplify ((((k*k**(-1/5))/k*k)**(2/15)*(k*k/k**(-1/4))**(-33))**(-3/17))**(2/43) assuming k is positive. k**(22243/36550) Simplify ((o/(o**8/o))/(o*o**(-5/7))*(o**(-6)/o)/o**(7/5))**(-48) assuming o is positive. o**(24672/35) Simplify (h**12*(h*h/(h/(h*h/(h/((h*h*h**(-9)*h*h*h*h*h*h*h)/h)))))/h*h*h**(-3)/(h/h**(-3/11)))**(-27/2) assuming h is positive. h**(-1296/11) Simplify (((b**(-4/13)/b**(-2))/((b*b/(b/(b/(b/((b**(-3/5)*b*b)/b*b))*b))*b)/b**(-12/11)))**(2/81))**(-16/9) assuming b is positive. b**(86912/521235) Simplify (u**(6/13)/u**0*(u**(-4/5))**(-1/7))**(-48) assuming u is positive. u**(-12576/455) Simplify (((k*k**(-5/13)/k*k)/k**(-2/39))**(-1/38))**(-39) assuming k is positive. k**(13/19) Simplify (t**(1/5)*t**(1/3))/((t**(1/2)*t)/t**(-2/5))*(t**1)**(8/21)*(t/t**(-4))/(t*t/(t**1*t)) assuming t is positive. t**(281/70) Simplify (z*z/(z*(z/z**(-4))/z*z*z)*z*z/(z*z**(2/7)))**42*(z**4*z)/z**(-7)*z**(-3/10)*z*z**7 assuming z is positive. z**(-1603/10) Simplify ((q*q*(q**12*q)/q*q)/q**(-11))**31*(((q*q**(-11)*q)/q)/q**(-9))**(2/11) assuming q is positive. q**(8864/11) Simpli
{ "pile_set_name": "DM Mathematics" }
t 1/2*p**2 - 425*p + 180625/2 = 0. Calculate p. 425 Let w(n) be the first derivative of -5*n**6/168 + n**5/28 - n**4/56 - 43*n**3/3 + n - 12. Let b(k) be the third derivative of w(k). Let b(q) = 0. What is q? 1/5 Let r be (-398)/((-546)/(-66) + -7). Let j = r - -313. Solve j*w**5 + 0 + 0*w**3 + 0*w + 6/7*w**4 - 8/7*w**2 = 0 for w. -2, 0, 1 What is a in -1260*a + 12*a**5 - 150*a**3 - 537*a + 423*a - 1089*a**2 + 60*a**4 - 504 + 21*a**4 = 0? -7, -2, -1, -3/4, 4 Let q(l) be the third derivative of -l**7/735 + 11*l**6/60 + 81*l**5/35 + 247*l**4/21 + 664*l**3/21 - 4*l**2 - 892*l. Determine c so that q(c) = 0. -2, 83 Let z(s) be the first derivative of -4*s**3/3 + 13*s**2/3 + 100*s/3 + 1600. Factor z(u). -2*(u + 2)*(6*u - 25)/3 Factor 238545/7*h + 243*h**2 - 731025/7 + 3/7*h**3. 3*(h - 3)*(h + 285)**2/7 Suppose -12*i - 1/2*i**2 + 585/2 = 0. What is i? -39, 15 Let x(h) be the second derivative of -h**5/10 - 73*h**4 - 15691*h**3 + 195364*h**2 + 1767*h - 1. Factor x(k). -2*(k - 4)*(k + 221)**2 Suppose -2*f + j = -64, 14*j = -3*f + 16*j + 95. Suppose -15*w - f = -48. Suppose 2*x**2 + 8/3*x - 1/3*x**4 + 0*x**3 + w = 0. What is x? -1, 3 Suppose 4*q + 60 = -44. Let w = q + 32. What is j in 0 + 9 - 3*j**2 - w = 0? -1, 1 Suppose -2*a + 4*i = 938, -5*a + 5*i + 772 = 3117. Let h = a + 4225/9. Factor -14/9*u - 10/9*u**2 - h. -2*(u + 1)*(5*u + 2)/9 Let u(n) = -n + 3. Let y be u(1). Suppose -5*b = y*s - 8, -16*s + 12*s = -2*b + 8. Factor 1/4*l**3 - l - 1/4*l**4 + l**b + 0. -l*(l - 2)*(l - 1)*(l + 2)/4 Let c be -7 - (4/(-1 - -3))/(-1). Let j(b) = 31*b - 56 - 12*b**2 - 12*b - 67*b. Let q(o) = -8*o**2 - 32*o - 37. Let s(v) = c*j(v) + 8*q(v). Factor s(k). -4*(k + 2)**2 Let v be (3886/232 - (1 + 6/8))*4. Let k(f) be the first derivative of 4/3*f**3 + 900*f + v*f**2 - 38. Factor k(q). 4*(q + 15)**2 Let k(d) be the third derivative of d**9/20160 + d**8/1120 + d**7/168 + d**6/60 - d**4 + 3*d**2 + 5*d. Let i(t) be the second derivative of k(t). Factor i(v). 3*v*(v + 2)**2*(v + 4)/4 Let f(u) be the second derivative of -1/130*u**5 + 0 - 77*u - 79507/13*u**2 - 43/26*u**4 - 1849/13*u**3. Factor f(v). -2*(v + 43)**3/13 Find d such that -6*d**2 - 20*d**2 + 41*d**2 - 204*d - 138*d - 13*d**2 = 0. 0, 171 Let x(c) be the second derivative of -c**5/50 - 7*c**4/30 + 224*c**3/15 + 468*c**2/5 - 9*c - 3. Let x(j) = 0. Calculate j. -18, -2, 13 Let b(v) = 2*v**3 - 4*v**2 - 5*v + 6. Let s be b(4). Suppose 2*x - 64 = -s. Factor x*g**3 - 23 - 31 + 4*g**4 - 9*g - g**4 + 14*g**3 + 39*g**2. 3*(g - 1)*(g + 2)*(g + 3)**2 Suppose 611 = -51*d + 713. Factor 24/7*p + 36/7 + 3/7*p**d. 3*(p + 2)*(p + 6)/7 Suppose -4*a + 76 = 2*m, -6*a + a = -5*m - 125. Solve -24*g**4 - 32*g**3 + 37*g**4 - 4 + 12 - 30*g**2 - a*g**4 + 8*g = 0. -2, -1/2, 1/2 Let h = 179146/5 - 35826. Let 36*n**3 + 88/5*n**2 + 54/5*n**5 + 0 + 162/5*n**4 + h*n = 0. What is n? -1, -2/3, 0 Suppose 15*w = -1060 + 1105. Find f, given that -78/5*f**w + 66/5*f**4 + 12/5*f - 14/5*f**5 + 0 + 14/5*f**2 = 0. -2/7, 0, 1, 3 Let m = 18 + -286. Let c be (-2)/(-3)*(-1206)/m. Factor 10*r**c + 5/3*r**5 + 10/3*r**2 + 5 - 35/3*r - 25/3*r**4. 5*(r - 3)*(r - 1)**3*(r + 1)/3 Let f be ((-520)/2600)/(42/(-15) + 2). Factor -f*k**3 + 3/8*k**2 + 1/2 - 1/8*k**4 + k. -(k - 2)*(k + 1)**2*(k + 2)/8 Let l(w) be the first derivative of 4*w**3/9 + 380*w**2/3 + 252*w - 1411. Find z, given that l(z) = 0. -189, -1 Let j(t) be the first derivative of -65*t - 5/3*t**3 - 35*t**2 - 14. Factor j(d). -5*(d + 1)*(d + 13) Let k(s) be the first derivative of s**6/6 + 38*s**5/5 + 231*s**4/4 - 90*s**3 - 5903. Factor k(x). x**2*(x - 1)*(x + 9)*(x + 30) Suppose 7 = 5*d + 4*i, 5*d - 2*i + 0*i = 19. What is h in -96*h**2 - 7*h**5 + 1300*h - 403*h**3 + 2*h**5 + 100*h**4 + 1000 + 33*h**3 - 194*h**2 - 115*h**d = 0? -1, 2, 10 Let w(y) = y**3 - 16*y**2 + 32*y + 19. Let t(x) = 2*x**3 - 33*x**2 + 53*x + 38. Let q(r) = 6*t(r) - 10*w(r). Suppose q(p) = 0. Calculate p. -1, 1, 19 Let c(s) be the third derivative of 28/15*s**4 + 49/75*s**5 + 0*s + 23*s**2 + 2/75*s**6 + 22/15*s**3 + 0. Factor c(n). 4*(n + 1)*(n + 11)*(4*n + 1)/5 Let v(m) = -4*m + 128. Let j be v(32). Suppose -2*p + 6 = 0, -3*a + j*p + 2*p - 6 = 0. Suppose a + 8/9*o - 2/3*o**2 - 2/9*o**3 = 0. What is o? -4, 0, 1 Let b(h) be the first derivative of -4*h**5/5 - 87*h**4 - 7004*h**3/3 + 12870*h**2 + 32400*h - 369. Factor b(d). -4*(d - 4)*(d + 1)*(d + 45)**2 Let m(c) be the first derivative of 0*c - 1/16*c**4 + 48 - 3/4*c**2 - 7/12*c**3. Solve m(x) = 0. -6, -1, 0 Let m(t) = 4*t - 94. Suppose 7*f = 138 + 30. Let w be m(f). Let -3/2*i**5 + 0 + 9/2*i**w - 3/2*i**3 - 9/2*i**4 + 3*i = 0. Calculate i. -2, -1, 0, 1 Suppose 0 = n - 2*n - g + 5, 4*n + 2*g - 14 = 0. Let m(c) = -c**2 + 3*c - 1. Let z be m(n). Determine l, given that -1 + 15*l**2 + l - 3*l**3 - 13*l + z = 0. 0, 1, 4 Suppose -3*g - 2*u + 112 = 0, 43 = 5*g + u - 132. Let x(z) be the first derivative of 4/3*z**3 + g + 0*z**2 + 0*z. Factor x(a). 4*a**2 Let p(a) be the first derivative of a**6/24 + a**5/15 - 11*a**4/24 + a**3/3 - 73*a**2/2 + 60. Let i(r) be the second derivative of p(r). What is o in i(o) = 0? -2, 1/5, 1 Let d(g) = 31*g**2 - 99*g + 248. Let b(v) = -440*v**2 + 1385*v - 3475. Let a(s) = -6*b(s) - 85*d(s). Factor a(p). 5*(p - 2)*(p + 23) Let d(i) be the first derivative of i**5/5 + 17*i**4 + 22*i**3 - 34*i**2 - 67*i - 3647. Let d(u) = 0. What is u? -67, -1, 1 Let b be -2 + (-7 - -20) + -4. Let w be 3 - (59/b + -6). Factor -2/7*o**4 - w*o**3 + 0*o - 2/7*o**2 + 0. -2*o**2*(o + 1)**2/7 Let y be (-6772)/(2 + 1 + 918) - -6. Let t = -6/307 - y. Factor -8/3 - 14/3*w + 2/3*w**3 - t*w**2. 2*(w - 4)*(w + 1)**2/3 Let t(y) be the third derivative of 1/24*y**6 + 0 - 55/24*y**4 + 5/6*y**5 - y + 0*y**3 - 11*y**2. Solve t(u) = 0 for u. -11, 0, 1 Let b be 226/(-3)*(-27)/9. Suppose -190 + m**3 - 111*m**2 - 58*m**3 + 120*m + 12*m**4 + b = 0. What is m? -2, -1/4, 1, 6 Let t = -7919/91 - -732/13. Let y = 219/7 + t. Determine z, given that y*z - 2/7*z**3 + 0 + 2/7*z**2 = 0. -1, 0, 2 Factor 68/23*s**3 + 62/23 + 192/23*s**2 + 188/23*s + 2/23*s**4. 2*(s + 1)**3*(s + 31)/23 Let d(q) be the third derivative of -q**5/60 + 43*q**4/24 + 94*q**3/3 - 2*q**2 - 345. Factor d(c). -(c - 47)*(c + 4) Let h = -288 + 610. Let u = 322 - h. Factor -2/7*r**5 + 0*r**2 + u + 0*r**4 + 2/7*r**3 + 0*r. -2*r**3*(r - 1)*(r + 1)/7 Suppose 24*z**2 + 52 + 14 - 66 - 30*z**3 - 24*z**4 + 32*z + 3*z**5 - 5*z = 0. What is z? -1, 0, 1, 9 Let d(i) be the first derivative of -1/2*i**2 + 4/3*i**3 - 2*i - 1/6*i**6 + 1/2*i**4 + 289 - 2/5*i**5. Determine v, given that d(v) = 0. -2, -1, 1 Let v(y) be the first derivative of 88 + 0*y**4 + 0*y**2 + 0*y**3 + 4/15*y**5 + 0*y + 2/9*y**6. Factor v(t). 4*t**4*(t + 1)/3 Let h(v) be the first derivative of v**6/150 + v**5/20 + v**4/10 + 59*v + 5. Let p(y) be the first derivative of h(y). Suppose p(k) = 0. What is k? -3, -2, 0 Let h(t) be the second derivative of -3/2*t**2 + 1/12*t**4 - 18*t + 0*t**3 + 1/120*t**5 + 0. Let b(q) be the first derivative of h(q). Solve b(a) = 0 for a. -4, 0 Let r(d) be the first derivative of d**6/120 + d**5/10 - 7*d**4/24 + 31*d**2/2 - d + 35. Let z(l) be the second derivative of r(l). Factor z(m). m*(m - 1)*(m + 7) Let x(w) be the first derivative of 8*w**3/57 - 591*w**2/19 - 296*w/19 + 433. Solve x(o) = 0 for o. -1/4, 148 Let c(k) be the first derivative of -k**6/9 + 8*k**5/15 + k**4/3 - 16*k**3/9 - k**2/3 + 8*k/3 - 733. Solve c(z) = 0 for z. -1, 1, 4 Let k(o) be the third derivative of -o**6/660 + 62*o**5/165 - 11*o**4/12 - 82*o**3/11 - 4*o**2 - 125*o. Solve k(c) = 0 for c. -1, 2, 123 Let s = 3458 + -3452. Let r(f) be the second derivative of 0 - 1/4*f**4 + 1/3*f**3 - s*f + 0*f**2 + 1/20*f**5. Factor r(i). i*(i - 2)*(i - 1) Let w be -2 + 11 + (-40)/(-5) + 5. Let u(j) be the second derivative of -50*j**4 - 40*j**2 - 25/4*j**5 + w*j - 70*j**3 + 0. Factor u(p). -5*(p + 4)*(5*p + 2)**2 Let a be (1 + 5/(-3))*(-51 - (-1575)/30) - -4. Suppose 4 + 1/2*s**2 + a*s = 0. Calculate s. -4, -2 Find w such that -66/17*w + 216/17 - 2/17*w**2 = 0. -36, 3 Let d(g) = 807*g + 219506. Let a be d(-272). Let 3/7*l**2 + 19/7*l - a = 0. Calculate l. -7, 2/3 Let b(i) = 13*i. Let m(u) = u**2 + 31*u + 16. Let q(z) = -3*b(z) + m(z). What is o in q(o) = 0? 4 Let u be (0 - 1/11) + (-3 - (-392)/77)
{ "pile_set_name": "DM Mathematics" }
-0.3, 31224, -228, 1 in increasing order. -228, -0.3, 1, 31224 Sort 7, 16/123, -0.4, -27, -3, 2/3 in ascending order. -27, -3, -0.4, 16/123, 2/3, 7 Sort 3, -295, -3542 in descending order. 3, -295, -3542 Sort -114, -784, 9, -3 in decreasing order. 9, -3, -114, -784 Sort 6, 10, 79, 154 in descending order. 154, 79, 10, 6 Sort -4, -10, 2, -321, -3, 4. -321, -10, -4, -3, 2, 4 Put 7638, -2, -6081 in decreasing order. 7638, -2, -6081 Put 5.77, -59/8, 6.49 in increasing order. -59/8, 5.77, 6.49 Sort 9, -132, -7, 4, 399 in descending order. 399, 9, 4, -7, -132 Sort 8, -3/8, 1, -40, -1/3176, -1. -40, -1, -3/8, -1/3176, 1, 8 Sort 124, 39, 4, -352, 5 in decreasing order. 124, 39, 5, 4, -352 Put 78, 0, -134 in decreasing order. 78, 0, -134 Put 0.5, -581, 8461 in ascending order. -581, 0.5, 8461 Sort 6, 4, -4, -1451, -3, 209. -1451, -4, -3, 4, 6, 209 Sort -4, -3/4, 0.5, -5619/2, -1/2 in descending order. 0.5, -1/2, -3/4, -4, -5619/2 Put -183, -5, -6, -11858 in decreasing order. -5, -6, -183, -11858 Sort -1802/57, -0.4, -0.3, 2/7. -1802/57, -0.4, -0.3, 2/7 Sort 13296, -0.4, 213/2. -0.4, 213/2, 13296 Put 0.2, 4/9, 692, 1/3, 3/2, -9893 in increasing order. -9893, 0.2, 1/3, 4/9, 3/2, 692 Put 4, -3, 1, 41, -1537 in descending order. 41, 4, 1, -3, -1537 Sort -3, 228/2135, 3, 0.2, 1. -3, 228/2135, 0.2, 1, 3 Sort 2, -913, -2, 53, 3, -4, 8 in descending order. 53, 8, 3, 2, -2, -4, -913 Sort -4, -34, 8, 0, 1, -5, 14. -34, -5, -4, 0, 1, 8, 14 Put 28, -1, 3, 1, -5, 2374 in increasing order. -5, -1, 1, 3, 28, 2374 Put 8, -0.81, -0.24, -20/7 in decreasing order. 8, -0.24, -0.81, -20/7 Sort 1, -13799, 0, -10, 5 in increasing order. -13799, -10, 0, 1, 5 Sort 39, -2330, 4. -2330, 4, 39 Sort 3, -304387937, -3 in ascending order. -304387937, -3, 3 Sort -1192, -2, -1, -44, -5, 10. -1192, -44, -5, -2, -1, 10 Sort -5, -1/101, -51, 0, -0.1, 0.02 in descending order. 0.02, 0, -1/101, -0.1, -5, -51 Put 56, -73, -4, -3, 0, -67, -1 in decreasing order. 56, 0, -1, -3, -4, -67, -73 Sort -248, -1, -42, 6 in decreasing order. 6, -1, -42, -248 Sort 0.7, 0.1, 60, 7, 0.3, -2/3, 3 in decreasing order. 60, 7, 3, 0.7, 0.3, 0.1, -2/3 Sort -83/420, -29, -0.3, -1/3, 7/4 in increasing order. -29, -1/3, -0.3, -83/420, 7/4 Sort -19978, -8, 70. -19978, -8, 70 Sort 5, -2930, 879, 0 in ascending order. -2930, 0, 5, 879 Put 20, 2/93, 0, 0.02, 0.1 in decreasing order. 20, 0.1, 2/93, 0.02, 0 Sort 4, -26, 4004, -27 in increasing order. -27, -26, 4, 4004 Sort -3, -9, 64.4733. -9, -3, 64.4733 Sort 5, -13, -2, 0, -323 in increasing order. -323, -13, -2, 0, 5 Sort -5/36, 369, -1/2, 12, -0.3 in descending order. 369, 12, -5/36, -0.3, -1/2 Sort -3, -5, -5588, 10, 3, 5. -5588, -5, -3, 3, 5, 10 Sort 5595, -5, 160, 1, 0 in decreasing order. 5595, 160, 1, 0, -5 Put 5, -5, 3, 23, 55971, 1 in descending order. 55971, 23, 5, 3, 1, -5 Sort 3, -2, 2, 29, 1, -272 in increasing order. -272, -2, 1, 2, 3, 29 Put -1/2, -2, 5, -0.3, 2, 4/9 in increasing order. -2, -1/2, -0.3, 4/9, 2, 5 Put 5, 0, 1/4, -4, -63712, -0.5 in ascending order. -63712, -4, -0.5, 0, 1/4, 5 Put -4, -11, 0.1, 339, 2, 44 in decreasing order. 339, 44, 2, 0.1, -4, -11 Put -0.3, -5, -0.4, -17298, 0, 5 in increasing order. -17298, -5, -0.4, -0.3, 0, 5 Put 2, -3, 15, 4, -1, -600, 28 in descending order. 28, 15, 4, 2, -1, -3, -600 Sort 2356136, -5, 1, -4 in ascending order. -5, -4, 1, 2356136 Put -3, 2, 5, -117, 15, -4, 116 in increasing order. -117, -4, -3, 2, 5, 15, 116 Put 1, -0.033, -3/4, 0, 6, -27/55 in descending order. 6, 1, 0, -0.033, -27/55, -3/4 Sort -5, 6621/7, 328. -5, 328, 6621/7 Put 0.01, 27091/19, -1/6 in increasing order. -1/6, 0.01, 27091/19 Sort 15, 5, -213, 3, 0 in decreasing order. 15, 5, 3, 0, -213 Put -1, 5, 0, -325, 6, 44 in descending order. 44, 6, 5, 0, -1, -325 Sort 472, 2, 1219. 2, 472, 1219 Sort 846, -6, 15, -5 in decreasing order. 846, 15, -5, -6 Sort 501, 3, -61434 in descending order. 501, 3, -61434 Sort -360, 0.2, 0, 0.8, -1.29 in increasing order. -360, -1.29, 0, 0.2, 0.8 Sort 0.4, 3, 8, -2, 5/51, 1, -26 in increasing order. -26, -2, 5/51, 0.4, 1, 3, 8 Sort -309, 22, -3098. -3098, -309, 22 Put 198, -11, 21, -5, -3 in descending order. 198, 21, -3, -5, -11 Put -1, -3, 223, 1108 in ascending order. -3, -1, 223, 1108 Put 0.08, -2/5, -0.11, -37175 in descending order. 0.08, -0.11, -2/5, -37175 Put 5, 15, 0.2723, -2, 9 in decreasing order. 15, 9, 5, 0.2723, -2 Put 10018, -2, 4728 in increasing order. -2, 4728, 10018 Sort 1239, 28, 1, -1 in decreasing order. 1239, 28, 1, -1 Sort 12, -4, -1, 5, 2351, -59 in increasing order. -59, -4, -1, 5, 12, 2351 Sort 402, 0, 11663, 4 in descending order. 11663, 402, 4, 0 Put 3/4, -1/2, 5, 205, -71, -4 in decreasing order. 205, 5, 3/4, -1/2, -4, -71 Sort 4, -9, 2, -1, 72441 in increasing order. -9, -1, 2, 4, 72441 Put -46, -3/5, 0.068, -0.09, -49 in decreasing order. 0.068, -0.09, -3/5, -46, -49 Put 0.5, -32282, 4, -0.1 in decreasing order. 4, 0.5, -0.1, -32282 Sort 2, 1256, -7, 0, 3 in ascending order. -7, 0, 2, 3, 1256 Put 1472, -545, 56 in decreasing order. 1472, 56, -545 Sort -3, -1764, 20 in ascending order. -1764, -3, 20 Sort -294, -1, 1, -0.3, -2/49, 9/10 in increasing order. -294, -1, -0.3, -2/49, 9/10, 1 Put -1, 3, 60217, 55 in decreasing order. 60217, 55, 3, -1 Put -4, -34, -37, 2, 5, 1, -8 in increasing order. -37, -34, -8, -4, 1, 2, 5 Put 329255, 5, -2, 9 in ascending order. -2, 5, 9, 329255 Sort -0.267, 2/9, -123/2 in ascending order. -123/2, -0.267, 2/9 Sort 16, 3, -5, -1852, -24. -1852, -24, -5, 3, 16 Sort 4, -8460, -325, -6 in descending order. 4, -6, -325, -8460 Sort -0.6, 899.5, -148. -148, -0.6, 899.5 Put -133, -79, -40/7, -1, -1/3 in decreasing order. -1/3, -1, -40/7, -79, -133 Sort -2/7, -1, 34, -30, 5/6, 0.4 in descending order. 34, 5/6, 0.4, -2/7, -1, -30 Sort -625, 2, -5, 3, 4, 14, -2. -625, -5, -2, 2, 3, 4, 14 Put 2, -2, 5, -170 in increasing order. -170, -2, 2, 5 Sort -6, 17985, 29, -1 in increasing order. -6, -1, 29, 17985 Put 1, 319457, 0, 3 in descending order. 319457, 3, 1, 0 Sort 4, -9/668, -24/11 in descending order. 4, -9/668, -24/11 Put -1, -3, 2, 323, 0, -6, -282 in ascending order. -282, -6, -3, -1, 0, 2, 323 Sort -306, 919616, -1/4. -306, -1/4, 919616 Sort 213, 4, -4/5, -4.2, 0.3 in descending order. 213, 4, 0.3, -4/5, -4.2 Sort -133, -1/10, 5, -0.02, 1.17. -133, -1/10, -0.02, 1.17, 5 Put -45, 773, 216, 1 in descending order. 773, 216, 1, -45 Put -1075, -0.1, -0.2, 2, -4, 0.1 in descending order. 2, 0.1, -0.1, -0.2, -4, -1075 Sort 27, 4, -222, 301. -222, 4, 27, 301 Put 11, 23440, 3, 5, 2 in decreasing order. 23440, 11, 5, 3, 2 Sort -1, -2062, -3, 2, -403 in decreasing order. 2, -1, -3, -403, -2062 Put 3/68, 0.1, -5, 27, 1, 12, -2/5 in decreasing order. 27, 12, 1, 0.1, 3/68, -2/5, -5 Sort -5, 2, 0, 645252. -5, 0, 2, 645252 Sort 732, -783, 1. -783, 1, 732 Sort 0.39, -7.1, -0.5, -29.5, 2 in ascending order. -29.5, -7.1, -0.5, 0.39, 2 Sort -123.6, 2, 1, 4/3, 0.1787. -123.6, 0.1787, 1, 4/3, 2 Sort 3, 0, 366, -14511. -14511, 0, 3, 366 Put -158, 0, -4, 1, 116 in descending order. 116, 1, 0, -4, -158 Sort 0.053, 411, -31 in increasing order. -31, 0.053, 411 Put -2138370, -3, 0 in ascending order. -2138370, -3, 0 Put -1, 8, -81, 3, -10, 131 in decreasing order. 131, 8, 3, -1, -10, -81 Sort -76, 4, 10, 2, 1, 175, -3 in ascending order. -76, -3, 1, 2, 4, 10, 175 Sort -3, -5, 65, -2, 114, 0, -106 in decreasing order. 114, 65, 0, -2, -3, -5, -106 Sort 0.07088, -13, 1/82. -13, 1/82, 0.07088 Sort -2, -14, 5101, 54 in descending order. 5101, 54, -2, -14 Put -5, 4, 0, 1, -1823, -4, 36 in descending order. 36, 4, 1, 0, -4, -5, -1823 Put -161, 2, 5, 6, -6, 77, 3 in decreasing order. 77, 6, 5, 3, 2, -6, -161 Sort -0.3, -3, 0, 256897 in decreasing order. 256897, 0, -0.3, -3 Put -1, -32308, -2303 in decreasing order. -1, -2303, -32308 Put -2, -4, 2, 5/2681 in ascending order. -4, -2, 5/2681, 2 Sort 148, 10, 627, -41. -41, 10, 148, 627 Sort -4, 11417, -1, -3, 1, 5 in ascending order. -4, -3, -1, 1, 5, 11417 Put 50, 4, -307.64 in decreasing order. 50, 4, -307.64 Put -140, 1, 0.1, 0, 287/330 in ascending order. -140, 0, 0.1, 287/330, 1 Sort -19, 1299, 3, 1, -98. -98, -19, 1, 3, 1299 Put 46308982, 3, -4, -1 in increasing order. -4, -1, 3, 46308982 Sort -22, -47, -2, 3514 in decreas
{ "pile_set_name": "DM Mathematics" }
d. Let s(h) = 4*h**2 - 2*h + 4. What is d*f(x) + 3*s(x)? 2*x**2 - x + 2 Let s(z) = -z**2 - 1. Let r(c) be the first derivative of -c**4/4 - c**3 + 2*c**2 - c - 119. Determine r(q) - 3*s(q). -q**3 + 4*q + 2 Let t be 4 - 1/3*(-19 + 22). Suppose -4*z = t*j - 32, -3*z - 2*j = 2*z - 33. Let q(v) = -v**2 - v. Let n(s) = -3*s**2 - 4*s + 2. Give z*q(x) - n(x). -2*x**2 - x - 2 Let m(f) = -2*f**3 + f**2 - 28*f - 7. Let y(c) = -2*c**3 + c**2 - 26*c - 5. What is 2*m(v) - 3*y(v)? 2*v**3 - v**2 + 22*v + 1 Let y(a) = 6*a. Let n(l) be the first derivative of -5*l**2/2 + 2. Let z = -2 + -2. Let x be 19/(-6) - 23/(-138). Calculate x*y(b) + z*n(b). 2*b Let b(y) = -5*y + 8. Let t(r) be the second derivative of r**3 - 9*r**2/2 + 48*r. Let i be 58/12 + 5*7/210. Determine i*b(x) + 4*t(x). -x + 4 Let k(d) = 25*d + 18. Let y(z) = 14*z + 9. Determine 4*k(a) - 7*y(a). 2*a + 9 Let g(c) = c. Let u(p) = -5*p**3 + 7*p - 15. Give -6*g(d) + u(d). -5*d**3 + d - 15 Let i(d) = 9*d**3 - 2*d**2 + 15. Let m(w) = 38*w**3 - 9*w**2 + 58. Determine 9*i(k) - 2*m(k). 5*k**3 + 19 Suppose -5*a = g + 18, -19 = 5*g - 2*a - 10. Let k(c) = 35 - 38 + 3*c**2 + 2*c - 7*c**2. Let x(i) = 5*i**2 - 3*i + 4. Give g*x(v) - 4*k(v). v**2 + v Let h(g) = -1. Let f(m) = 3*m + 8. Let n = -794 - -770. Give n*h(u) - 3*f(u). -9*u Let x(g) = -5*g**3 + 6*g**2 - 8*g - 120. Let d(n) = -4*n**3 + 5*n**2 - 7*n - 119. What is -6*d(l) + 5*x(l)? -l**3 + 2*l + 114 Let t(f) = -44*f - 4. Let i(s) = 129*s + 11. Calculate 3*i(d) + 8*t(d). 35*d + 1 Let a(b) = 3*b - 7. Let x be (-2)/(-8) + 6/8. Let k(h) = -5*h + 2*h + 2*h + 2 + x. Let p be -5 - (2 - 36/3). Calculate p*k(q) + 2*a(q). q + 1 Let c(n) = -n**3 + n**2 + 3*n + 5. Let k be (-2)/(-4)*(6 + -14). Let r(p) = -8 - 4*p + 0*p - 2*p**2 + 2 + 2*p**3. Give k*c(h) - 3*r(h). -2*h**3 + 2*h**2 - 2 Suppose 4 = i + i. Let o(p) = 3*p**3 + 2*p**2 - 2. Let t = 88 - 79. Let f(n) = -13*n**3 - 9*n**2 + 9. Calculate i*f(w) + t*o(w). w**3 Let c(u) = 2*u**2 + 4. Let n(q) = q**2 + 9. Let k(d) = -28 - 21*d**2 + 0*d + 19*d**2 + 0*d. Let y(a) = -2*k(a) - 7*n(a). Determine -10*c(b) - 6*y(b). -2*b**2 + 2 Let i(n) = -24*n**3 - 7*n**2 - 9*n + 5. Let y(v) = 12*v**3 + 4*v**2 + 5*v - 3. Give -3*i(o) - 5*y(o). 12*o**3 + o**2 + 2*o Let k(b) = 19*b**2 + 5*b - 12. Let j(a) = -19*a**2 - 4*a + 15. Determine -4*j(q) - 5*k(q). -19*q**2 - 9*q Let c(m) = -4*m**2 - 4*m + 2. Let i(d) = -3*d**2 - 3*d + 3. Suppose 10*g = 13*g + 6, -4*g + 7 = -5*x. What is x*i(r) + 2*c(r)? r**2 + r - 5 Suppose -2 = -7*s - 9. Let l(g) = -3 - 3*g**2 + 0*g - g**2 + g + 3*g**2. Let c(d) = -1. Determine s*l(h) + 3*c(h). h**2 - h Let k(v) = -6*v**3 - 22*v**2 + 3*v + 73. Let d(j) = -2*j**3 - 7*j**2 + j + 24. Calculate -7*d(q) + 2*k(q). 2*q**3 + 5*q**2 - q - 22 Let v(r) = r**3 + 2*r**2 - 2*r - 7. Let w(i) = -i**3 - i**2 + i - 1. Determine -v(l) - 2*w(l). l**3 + 9 Let x(n) = -n**3 + n**2 - n. Let y(t) = 4*t**3 - 5*t**2 - 11*t. Calculate -5*x(b) - y(b). b**3 + 16*b Let q(k) = -1. Let x(m) = 312*m**2 - 4. Give -4*q(l) + x(l). 312*l**2 Let o(a) = -22*a**3 + a**2 + 2*a - 2. Let c(q) = 44*q**3 - 2*q**2 - 5*q + 5. What is 2*c(p) + 5*o(p)? -22*p**3 + p**2 Let b(w) = -2*w**3 - 6*w**2 + 4*w + 6. Let i = -1 - -3. Let g = -233 - -235. Let o(z) = 2*z**3 + 10*z**i - 5*z**g - 6*z + 3*z - 5. Determine -5*b(f) - 6*o(f). -2*f**3 - 2*f Let p(d) = 27*d + 166. Let a(g) = -20*g - 111. Give 7*a(m) + 5*p(m). -5*m + 53 Suppose 0 = -2*c + 1 - 3. Let u(z) be the first derivative of z**3/3 + 26. Let v(h) = h**2 - 1 - 5*h**2 + 0. What is c*v(s) - 5*u(s)? -s**2 + 1 Let d(q) = -1. Suppose 5*f + 2*h = 7*h, 289 = 4*h + 285. Let b(z) = 4 + 5*z**2 + 2*z - 4*z**2 - 8. Determine f*b(u) - 4*d(u). u**2 + 2*u Suppose 25*i + 6 = 26*i. Let z be (-89)/3 - 8/(-12). Let r = z + -4. Let w(d) = -6*d. Let k(t) = -t. Determine i*w(g) + r*k(g). -3*g Let l(q) = 6*q - 3. Let y(z) = -3*z + 24. Let p(x) = 10*x - 67. Let n(h) = 4*p(h) + 11*y(h). Suppose 5*c + v = 15, c + 0*v - v = 9. Determine c*l(g) - 3*n(g). 3*g Let u(i) = -2*i**2 + 4. Let t = -4 + 6. Suppose -2*p + 6*n + 4 = 4*n, -5*p = -3*n - 12. Let o(g) = 2 - 3 - p*g**2 + t + 6. Calculate -4*o(m) + 7*u(m). -2*m**2 Let o(r) = r**2 + r - 1. Let b(f) = -1554*f**2 - 1295*f + 1295. What is -b(m) - 1295*o(m)? 259*m**2 Let b(m) = -8*m**3 - 9*m**2 + 18*m + 32. Let x(j) = 2*j**3 + 2*j**2 - 4*j - 8. Determine 2*b(o) + 9*x(o). 2*o**3 - 8 Let o(c) = 2*c - 5. Let a = -558 - -559. Let r(f) = -f - 1. Determine a*o(n) - 5*r(n). 7*n Suppose -3 = -3*g + 5*x + 55, 3*x = g - 26. Let u(s) = -3*s**2 - 24 + 35 + 8*s**2 + g*s. Let m(q) = -q**2 - 2*q - 2. Calculate 33*m(p) + 6*u(p). -3*p**2 Let s be (-2 + -8)*(-3)/6. Let z(w) = -2*w**3 + 5*w. Let v(i) = -6*i**3 + 16*i. Calculate s*v(f) - 16*z(f). 2*f**3 Let n = -387 - -392. Let s(a) be the third derivative of 5*a**2 - 1/20*a**6 + 0*a**n - 1/24*a**4 + 0 + 0*a + 1/3*a**3. Let x(t) = -t**3. What is s(w) - 5*x(w)? -w**3 - w + 2 Let k(r) = 7*r + 1. Let p(h) = 18*h + 37. Determine -2*k(l) + p(l). 4*l + 35 Let b(t) = 6*t**2 - 11*t - 33. Let p(q) = q**2 - 2*q - 6. Let c(s) = 2*b(s) - 11*p(s). Let o(k) = -2. Determine 3*c(n) + o(n). 3*n**2 - 2 Let j(r) = 8*r - 81. Let h(p) = -27*p + 240. Calculate 2*h(c) + 7*j(c). 2*c - 87 Let h(m) = -103*m + 1045. Let t(u) = -23*u + 261. Calculate -2*h(s) + 9*t(s). -s + 259 Let z(c) = -4*c**3 + c**2 + 6*c + 7. Let p be (-64)/(-28) + (-1)/(7/2). Let v(u) = -u**3 + 2*u + 2. Give p*z(t) - 7*v(t). -t**3 + 2*t**2 - 2*t Let q(s) = -7*s - 1. Let j(f) = 66*f - 5. Give -j(a) + 5*q(a). -101*a Let b(u) = u - 1. Let r(z) = 8*z - 3. Let v(o) = 7*o**2 - 39*o - 17. Let i be v(6). Give i*r(l) - 6*b(l). 2*l + 3 Let a(j) = 29*j + 4. Let r(x) = -2*x - 2. Let d(w) = -a(w) - 6*r(w). Let t(l) = -11*l + 5. What is -5*d(v) + 8*t(v)? -3*v Let j(b) = -3*b - 1. Let g be j(4). Let p = 10 - 21. Let i = p - g. Let l(d) = 4*d - 1. Let v(x) = -21*x + 6. Give i*v(u) + 11*l(u). 2*u + 1 Let g(a) = 627*a + 2. Let o(x) = -1254*x - 5. Calculate 9*g(q) + 4*o(q). 627*q - 2 Let w(f) = 6*f**3 - f**2 + 2*f + 4. Suppose 2*t + 3*p + 7 = 0, -3*t - 8 = 4*p - 0*p. Let o(v) = 5*v**3 - v**2 + 2*v + 3. Determine t*o(s) - 3*w(s). 2*s**3 - s**2 + 2*s Let f(n) = 41*n + 10. Let a(h) = -43*h - 12. Determine 4*a(b) + 5*f(b). 33*b + 2 Let j(b) = -21*b**3 + 19*b**2 + 11*b - 11. Let t(d) = -10*d**3 + 9*d**2 + 6*d - 6. What is -6*j(q) + 11*t(q)? 16*q**3 - 15*q**2 Let i(n) = 5*n - 47. Let t be i(10). Let u be (-2)/6 + 10/t. Let q(a) = 4*a. Let h be (4/(-6))/((-4)/30). Let f(y) = -2*y. What is h*f(b) + u*q(b)? 2*b Let x be 3 + ((0/(-2))/(-2) - 1). Suppose -3*r = -j + 2, -5*r + x*r - 14 = 2*j. Let m(z) = -2*z + 2. Let d(b) = 3*b - 2. Determine j*m(a) - 3*d(a). -a - 2 Let h(p) = -p**3 + p**2 + p + 1. Let t(r) = 15*r**3 - 3*r**2 - 8*r - 3. What is -3*h(j) - t(j)? -12*j**3 + 5*j Let v(u) = -3*u - 4. Let y(q) be the third derivative of 15*q - 1/2*q**3 - 1/12*q**4 - q**2 + 0. Give -5*v(r) + 7*y(r). r - 1 Let s(f) = 3*f - 2. Let d(v) = -1990*v + 23 - 68 + 2055*v. What is 2*d(z) - 45*s(z)? -5*z Let y(w) = 10*w - 35. Let v(o) = 18*o - 70. Determine -4*v(h) + 7*y(h). -2*h + 35 Let t(o) = -15. Let m(g) = g + 6. Calculate 2*m(l) + t(l). 2*l - 3 Let h(p) = -8*p + 1. Suppose 4*u + 3*o - 8 = 0, 8*u + o = 6*u + 6. Let f(t) = -7*t + 1. Calculate u*f(d) - 4*h(d). -3*d + 1 Let i(d) = -20*d**2 - 8. Let b(f) = 10*f**2 + 4. Determine 5*b(u) + 2*i(u). 10*u**2 + 4 Let x(o) = -o**3 - o**2 + o. Let j(m) = 7*m**3 + 6*m**2 - 6*m - 26. Give -j(r) - 6*x(r). -r**3 + 26 Let u(q) = -2*q + 3. Let n(y) = -y**3 - 8*y**2 - 7*y. Let l be n(-7). Let g(c) = 4 - 4*c + l*c + 2*c. Determine -2*g(i) + 3*u(i). -2*i + 1 Let s(y) = 1. Let l(t) = t + 1. Let z be l(-3). Let f(o) = -4*o - 1. Determine z*s(w) - f(w). 4*w - 1 Let u(o) = -2. Let j(m) = -9*m**2 - 2*m + 6. Determine -j(p) - 2*u(p). 9*p**2 + 2*p - 2 Let x(u) = -18*u**2 + 7*u + 3. Let k(v) = 3 - 20*v - 2 - 6*v**2 + 42*v - 20*v. Calculate -7*k(z) + 2*x(z). 6*z**2 - 1 Let p(f) = 124*f**2 - 52*f**2 - 32*f**2 + f - 41*f**2. Let x(r) = -2*r**2 + 2*r. Let n be (-6)/((-6)/(-8)*-2). Calculate n*p(s) - x(s). -2*s**2 + 2*s Let q(c) = -115*c**2 - 3*c - 9. Let j(x) = -x**2 + x + 3. What is 6*j(p) + 2*q(p)? -236*p**2 Let s(h) = -142*h**2 + 32. Let n(j) = -28*j**2 + 6. What is -16*n(v) + 3*s(v)? 22*v**2 Let s(r) = 3*r - 26. Let h be s(8). Let p(d) =
{ "pile_set_name": "DM Mathematics" }
) 0.2 (c) t b Let r = -510/917 - 2/131. What is the closest to 2 in 4, -1, r? 4 Let c be 198/308 - 2/4. What is the closest to 2 in c, -5, 4? c Let v = 253 + -258.03. Let m = v + 0.03. Let f = m + 1. Which is the nearest to 0.1? (a) f (b) -0.2 (c) -2/3 b Let k be (1/2)/(36/24). What is the nearest to k in -2, 3/7, 2/3? 3/7 Let i = 2 - 10. Let x = -8.3 - i. Which is the nearest to -1/4? (a) -4 (b) 4/3 (c) x c Let u = -3.98 + 4. Let o = u + -0.32. Let x = 0.1 + o. Which is the closest to 1/2? (a) 4 (b) x (c) -4 b Let o = 407/15 + -27. Which is the closest to 1? (a) 3 (b) o (c) 5 b Let i = 47.8 + -48. Let w = 0 - 1. Let y = w + -1. Which is the closest to i? (a) y (b) 1 (c) 2/11 c Let p = -0.25 - -0.36. Let v = p - 0.01. Which is the nearest to 1? (a) v (b) 0 (c) -0.3 a Let n = -1 - 1. Let a = 0.73 + 0.17. Let p = a + 0.1. What is the nearest to p in 0.3, n, -2/7? 0.3 Let s be (-27)/21 + (-2)/(-7). Let h = -17/6 - -19/6. Which is the closest to s? (a) h (b) -0.4 (c) -2/13 b Let x = 23 + -21. Which is the closest to -1? (a) x (b) -1 (c) -3/2 b Let m be -51*(-4)/(-54) + 4. What is the closest to 1/17 in m, 0, 3? 0 Let o(u) = -u**2 + 7*u + 1. Let r be o(7). Which is the nearest to r? (a) -0.3 (b) -0.4 (c) -3 a Let v = -1.99 - 0.01. Let p = -0.1 + 0.1. What is the closest to p in -1/5, -2/21, v? -2/21 Let d = -51 + 46. Which is the nearest to 1/4? (a) -2/5 (b) d (c) 0 c Let w = 7 + -5. Let q = 0.27 - 0.17. What is the closest to q in w, -0.2, 5? -0.2 Let i = -0.04 - 1.96. Which is the nearest to 0? (a) 5 (b) -3 (c) i c Let n = 6/7 + -31/28. What is the closest to 2/5 in n, 0.3, 2? 0.3 Suppose 0 = a + 4*a + 15. Let l be 0/a + 2/(-7). What is the closest to -0.3 in 2/11, 2/7, l? l Let a(t) = t**2 + 6*t - 6. Let k be a(-6). Let y be (1/(3/k))/4. Let h(g) = -g - 2. Let u be h(-3). What is the closest to u in y, -1, -2/3? y Let d = 0.26 + -0.47. Let i = d - -0.11. What is the nearest to i in 5, 1/3, -6? 1/3 Let d = 0 + -0.4. What is the closest to 0 in 1, 2/7, d? 2/7 Let x = 9/2 + -85/18. Let c be 5/(-6)*(-4)/(-20). Let z = -1 - -1.4. What is the nearest to x in z, 0.1, c? c Let q = 1 - 1.7. Let s = q + 2.7. What is the closest to s in 0, 0.5, 3? 3 Let w = 6.89 - 7. Let x = -4.89 + w. Let y = -4.8 - x. Which is the nearest to -1? (a) y (b) 0.1 (c) -1/5 c Let m be (8/2)/12 - (-21)/(-9). What is the closest to -1 in m, 1/3, -0.3? -0.3 Let x = -0.114 + -0.816. Let f = -0.07 + x. Let g be 1 + ((-28)/5)/4. Which is the nearest to g? (a) -4 (b) f (c) 0.5 b Let t = 0.4 - 1.6. Let i = t - -0.2. Let a = 1.4 + i. What is the nearest to -1 in -1/2, -5/4, a? -5/4 Let j = 8 - 13. Let p = -4.6 - j. Let o = 2 - 1. Which is the nearest to o? (a) 0.5 (b) 0.2 (c) p a Let m be -6*(-40)/336*4/10. Let f = 3.6 - 4. What is the nearest to -0.1 in m, 2/5, f? f Suppose 25 = -4*w - 7. Let t be ((-6)/w + -1)*-2. Let p = 3.5 + -2.5. What is the closest to p in t, -5, 2? t Let z = 0.14 - -5.86. What is the closest to -1 in -5, 1, z? 1 Let d be 0/((-2)/(-4)*12/(-6)). What is the closest to 0 in -5, 9, d? d Let f be (-6)/4 + 8/16. Let k = f - 0. What is the closest to 0 in -1/6, -0.1, k? -0.1 Let k = -97 - -97. Which is the closest to 0.2? (a) k (b) 2/7 (c) 0.3 b Let z = -5 - -6. What is the nearest to 0 in z, 2/5, -2/15? -2/15 Let y = 3 - 3. What is the nearest to y in 4, 0.4, 3/2? 0.4 Let y = -1 - -1. Let f = -0.141 + -0.059. Which is the closest to y? (a) 0.1 (b) f (c) 1/2 a Let r = 0.24 - 12.24. Let d = -1.5 - -9.5. Let n = r + d. Which is the nearest to 0? (a) -1 (b) n (c) -3 a Let s(o) = o**2 - 3. Let i be s(0). Which is the closest to -0.1? (a) i (b) 2/7 (c) 0.3 b Let l = -0.064 + -0.036. Which is the closest to l? (a) -3/2 (b) 6 (c) 3 a Suppose -3 = -4*u + 5. Suppose -2*p - u = -0. Let v = -1.9 - -0.9. What is the closest to v in -2, 2, p? p Let q = -359/2080 + 3/160. Let i = 1 + 0. Which is the closest to i? (a) -1 (b) -4 (c) q c Suppose 3*y = -m + 3, -5*m + m + 12 = 3*y. What is the closest to -5 in m, 1, -3? -3 Let g = 0 + -0.1. Let m be 1/(((-3)/6)/(1/(-6))). Which is the closest to m? (a) -0.2 (b) 5 (c) g c Let q = 1.3 - 1. Let p(j) = -j**3 - 6*j**2 + 5*j - 10. Let x be p(-7). Let h = 14/13 + -96/65. What is the closest to h in 1/4, q, x? 1/4 Let y = 69 - 77. Let w = -12 + 8. Let g = y - w. What is the nearest to 0 in g, -0.4, -5? -0.4 Let z = -0.7 + 0.2. Let b = 9 - 17. Let y = 8 + b. What is the closest to 0 in z, y, 2/19? y Let s = 0.36 + 0.04. Let n = -0.02 - 3.98. Let j = -0.1 - -0.2. What is the closest to j in 2, s, n? s Let s = -0.088 + 4.088. What is the nearest to -2 in 0, -1/6, s? -1/6 Let v be (-4 - -2)/((-2)/(-5)). Let t = 2 + 0. Let o = 6.1 - 6. Which is the nearest to o? (a) t (b) v (c) 3 a Let j = 2.059 - 0.059. Which is the nearest to -1? (a) 3 (b) j (c) 5 b Let d(p) = 2*p**3 - p**2 + p - 1. Let s be d(1). Let k = -0.05 + 0.35. Let n = 2.7 + k. Which is the nearest to s? (a) -5 (b) 4 (c) n c Suppose 0 = g + g. Let c = 951.13 - 956. Let a = 0.13 - c. What is the nearest to g in a, -2/13, -1? -2/13 Let t = 96 + -56. Let u = t - 161/4. Which is the nearest to 2/5? (a) 3 (b) u (c) -5 b Let x be (-2)/(-18)*(-6)/(-4). Let r(s) = 23*s + 298. Let o be r(-13). What is the closest to o in x, 0, -4? 0 Let o = -24 - -57. Let b = o - 28. What is the closest to 1 in -5, b, -2/3? -2/3 Let m = -0.34 + 0.3. Let z = 0.06 - m. Which is the closest to z? (a) 3 (b) -2/7 (c) 0 c Let w = -68 - -203/3. Which is the nearest to -5? (a) 5 (b) w (c) -3 c Let v be (8/7)/1 - 1. Let g = -1 + 1.1. Let u(s) = -s**2 + 13*s - 40. Let h be u(8). Which is the closest to 3? (a) h (b) g (c) v c Let v = 35/12 - 8/3. What is the nearest to v in 2/5, 2, -0.4? 2/5 Let n = 6 - 5.5. Let f = -0.4 + n. Which is the closest to f? (a) 3 (b) -1 (c) 0.2 c Suppose -2 - 2 = 2*v. Let c = 98 - 97. What is the nearest to -0.1 in c, v, 1/11? 1/11 Let d = 89 - 85. Which is the closest to -0.1? (a) 1/3 (b) d (c) -3 a Let i = 1.4 - 5.9. Let y = 1.5 + i. Which is the nearest to 1? (a) 1/5 (b) -0.1 (c) y a Let a be (12/20)/((-3)/15). What is the closest to 0.1 in -4, 3, a? 3 Suppose 0*k + 4*k = 64. Let t = k + -11. What is the nearest to 0.1 in t, -2, 4? -2 Let v = 0.13 + 4.87. Let o = 28 + -23.91. Let x = o + -0.09. What is the closest to 0 in x, -0.1, v? -0.1 Let p = 31.3 - 30. Let k = p - 1.8. Which is the nearest to -1? (a) -1/4 (b) k (c) -2 b Let b = -9 + 6. What is the closest to -0.1 in 0.4, b, -0.3? -0.3 Let t = 1441/3800 - 2/475. Let d = 2.9 - -1.1. Which is the closest to 1? (a) 0 (b) d (c) t c Let s be -1 + -2 - 9/9. Which is the closest to 1.9? (a) 3/5 (b) s (c) -0.3 a Let d = -15 + 27. Let r = d + -8. Let y = 0.11 - -4.89. Which is the nearest to 1/3? (a) y (b) r (c) -0.2 c Let f = 0.01 - 0.41. Let d = -0.2 - f. Let h be 20/21 - (-4)/(-6). Which is the closest to h? (a) -3 (b) 3/2 (c) d c Let d be 8/2 - 8/56*7. What is the nearest to 2 in d, 0.3, -3/5? d Let h = 1.4 + -1.49. Let j = -0.29 - h. Let x = 6.4 - 6. What is the closest to -2/3 in x, j, 1/6? j Let d(f) = f - 6. Let w be d(5). Which is the closest to w? (a) 3 (b) 2/11 (c) -0.2 c Let w = 1 + -0.9. Let k(x) = 7*x - 12*x**2 + 4 + 2*x**2 - x**3 + 5*x**2. Let h be k(-6). What is the nearest to -1 in h, w, 5? h Let z = 0.7 + -1.2. Which is the nearest to 1? (a) 2/15 (b) 1 (c) z b Let k be 1/3*(-6 + 6). Let u = k + -2. Which is the nearest to 1? (a) 3 (b) u (c) -1/4 c Let r = 447/5 - 89. Let y be 1*(-1)/(-1)*-4. Which is the closest to 1? (a) r (b) 3 (c) y a Let g = 153.8 - 154. What is the nearest to g in 2, -1, 2/9? 2/9 Let o(j) = j**3 + 2*j**2 - 2*j - 2. Let r be o(-3). Let h = -2.5 + 2. Let l = 156/7 - 22. Which is the closest to -2/7? (a) r (b) h (c) l b Let z be 378/42*((-1 - -1) + -1). What is the nearest to 2/3 in 3, -1, z? -1 Let l = -1013/3 + 381. Let z(o) = -4*o**2 - 4*o + 4. Let w be z(-4). Let h = l + w. What is the closest to 0.1 in -5, h, 3/8? 3/8 Let y = -1.157 - -0.157. Let z = -1627/6 + 272. Which is the closest to -2? (a) y (b) z (c) -1/2 a Let m = -42/13 + 488/143. What is the nearest to 5 in m, -4, 5? 5 Let g = 7 - 5. Let t be (3*4/18)/((-1)/(-6)). Which is the closest to -1? (a) t (b) g (c) 3 b Let
{ "pile_set_name": "DM Mathematics" }
/2 in increasing order. 2/285, 0.3, 7/2 Put -13.56101, 0, 4 in ascending order. -13.56101, 0, 4 Sort -3/4, 23.5, -3, -5/2, -38. -38, -3, -5/2, -3/4, 23.5 Sort -2, -1, -3, 1, 1291, -4 in increasing order. -4, -3, -2, -1, 1, 1291 Put 6, -9, 19.6, 0.4 in decreasing order. 19.6, 6, 0.4, -9 Sort 4/3, -92, -12, -0.007 in increasing order. -92, -12, -0.007, 4/3 Sort -12, 9, 98 in descending order. 98, 9, -12 Put 5, -17, 0, -2, -3, 110 in descending order. 110, 5, 0, -2, -3, -17 Sort 2, 3, -20136, 5, -4 in descending order. 5, 3, 2, -4, -20136 Sort 3, -5, 8, 4, 128, 2 in ascending order. -5, 2, 3, 4, 8, 128 Put -16, -5, -1, 10 in decreasing order. 10, -1, -5, -16 Sort 1, 8, -3, 54 in ascending order. -3, 1, 8, 54 Sort -1/2, -0.16, -0.04, -6/11, -3 in descending order. -0.04, -0.16, -1/2, -6/11, -3 Put 1348, -0.4, 5, -13 in ascending order. -13, -0.4, 5, 1348 Put -1, 41, 8, 1 in decreasing order. 41, 8, 1, -1 Put 2/7, -1.54, 2/9, 2/3, 10 in increasing order. -1.54, 2/9, 2/7, 2/3, 10 Sort -7, -347, 12 in descending order. 12, -7, -347 Put -2, -1, -3, 14, 20 in descending order. 20, 14, -1, -2, -3 Sort 20, -1, 2/1495 in increasing order. -1, 2/1495, 20 Sort -1/28, 1, -1, -2/7, 25, -0.4 in ascending order. -1, -0.4, -2/7, -1/28, 1, 25 Sort 5, 782, -5, -104 in decreasing order. 782, 5, -5, -104 Sort 6, 1, -1456 in descending order. 6, 1, -1456 Put 0, -1.17, -0.1, 1 in decreasing order. 1, 0, -0.1, -1.17 Sort -2/15, 14, 2, -1/43850. -2/15, -1/43850, 2, 14 Sort 11/2, 4/9, 1, 7, 5 in ascending order. 4/9, 1, 5, 11/2, 7 Sort -1684, -15, -3, -2 in descending order. -2, -3, -15, -1684 Sort -79341, 2, -5, -3, -1 in ascending order. -79341, -5, -3, -1, 2 Sort -2, 4/17, -0.4, 6/301, 1/3, 5 in descending order. 5, 1/3, 4/17, 6/301, -0.4, -2 Put -101, -0.4, -111, 0, -0.3 in increasing order. -111, -101, -0.4, -0.3, 0 Sort 971, 0, 7, -1 in decreasing order. 971, 7, 0, -1 Put -0.2, -2/3, -1.04892 in decreasing order. -0.2, -2/3, -1.04892 Put 45, -0.055, 27, -1/12 in descending order. 45, 27, -0.055, -1/12 Sort 2, -879, -2, -8. -879, -8, -2, 2 Put -5, -0.4, 2, -6/7, 4/101 in increasing order. -5, -6/7, -0.4, 4/101, 2 Put -64, 25, -0.035 in increasing order. -64, -0.035, 25 Sort -13, 65, -6, -3. -13, -6, -3, 65 Put 22, 1, -2, 7, -8 in descending order. 22, 7, 1, -2, -8 Sort -4, -7, -2, 2, 0, -63 in descending order. 2, 0, -2, -4, -7, -63 Sort 224/11, -0.4, -0.2, 0.5 in decreasing order. 224/11, 0.5, -0.2, -0.4 Put -94.78, 0.2, -5, -4 in decreasing order. 0.2, -4, -5, -94.78 Sort -6320, -0.6, 5. -6320, -0.6, 5 Sort -1.1, 0.01, 55, -1 in increasing order. -1.1, -1, 0.01, 55 Put 5, -118, -16, -5, 1, -18 in increasing order. -118, -18, -16, -5, 1, 5 Sort -2/25, -1, -2213 in descending order. -2/25, -1, -2213 Sort -0.1, -2, 3/2, -2/7, -4, 4 in ascending order. -4, -2, -2/7, -0.1, 3/2, 4 Sort 3, -172, 1, -3, 0.3, 9 in decreasing order. 9, 3, 1, 0.3, -3, -172 Put 3/2, -8, -1149 in decreasing order. 3/2, -8, -1149 Sort -3, -1, -0.1, -198, 78/11 in increasing order. -198, -3, -1, -0.1, 78/11 Put 2/2995, 3/8, 3, 1, -0.5 in increasing order. -0.5, 2/2995, 3/8, 1, 3 Put 4, 3, -2, 57, -5, 1 in decreasing order. 57, 4, 3, 1, -2, -5 Sort 3, -95, -568 in ascending order. -568, -95, 3 Sort -6693, 18, -2 in decreasing order. 18, -2, -6693 Sort 2, 11978, -9 in decreasing order. 11978, 2, -9 Put 4, 10, 3, -18 in ascending order. -18, 3, 4, 10 Sort -3, -4690, -5, 3 in descending order. 3, -3, -5, -4690 Sort -0.2344, 0.4, -1 in decreasing order. 0.4, -0.2344, -1 Put -4, -28, 9, -17 in decreasing order. 9, -4, -17, -28 Sort -0.9, -2/15, -0.04, 1/39. -0.9, -2/15, -0.04, 1/39 Put 0.02, 38, -1/2, 1, 0.9 in descending order. 38, 1, 0.9, 0.02, -1/2 Sort -1, -10, -1340, 11 in increasing order. -1340, -10, -1, 11 Sort -2004, 2, 4, -74, -2 in descending order. 4, 2, -2, -74, -2004 Put 39, 20, 2, -1, 5 in ascending order. -1, 2, 5, 20, 39 Put -1/4, 6, -632, 1/3 in ascending order. -632, -1/4, 1/3, 6 Sort -20, -4, -4/7, -26/5, 0.5 in decreasing order. 0.5, -4/7, -4, -26/5, -20 Sort -2, 3/31, 0.2, -509, -1 in descending order. 0.2, 3/31, -1, -2, -509 Sort -3, 5, -5, -55, 2, -2 in increasing order. -55, -5, -3, -2, 2, 5 Put 15, 1082, 30 in decreasing order. 1082, 30, 15 Sort 4, -3, -2862, 5, 2, 1 in descending order. 5, 4, 2, 1, -3, -2862 Sort 6, -14, 3, -2/9, -449. -449, -14, -2/9, 3, 6 Sort -2/5, 0.1, -2, -5, -56/781. -5, -2, -2/5, -56/781, 0.1 Sort -2, 27213, 2 in decreasing order. 27213, 2, -2 Sort -0.4, 1/10, 0.7, 46. -0.4, 1/10, 0.7, 46 Sort -0.5, -0.1, 87, -3/4, 1/4, -2 in decreasing order. 87, 1/4, -0.1, -0.5, -3/4, -2 Put -24, 2, 36.9 in ascending order. -24, 2, 36.9 Sort 34, 2129, 0.3 in ascending order. 0.3, 34, 2129 Sort -383, 1, -4, -9 in descending order. 1, -4, -9, -383 Put 0.03, 3, 7.7, -0.01 in decreasing order. 7.7, 3, 0.03, -0.01 Sort -37630, 2/7, 0 in decreasing order. 2/7, 0, -37630 Sort -3, -2, 198, -145 in increasing order. -145, -3, -2, 198 Put 5, 2, 59, 37 in descending order. 59, 37, 5, 2 Sort -196, 15, 1 in ascending order. -196, 1, 15 Sort 5, -0.82, 2/9, 1/9, 1, -5/2 in ascending order. -5/2, -0.82, 1/9, 2/9, 1, 5 Sort 1/2, -0.4, 2/493, -50, 2/29. -50, -0.4, 2/493, 2/29, 1/2 Sort -3, 152, 6, 7, 3. -3, 3, 6, 7, 152 Put -2/9, 6, -1/561, 1 in descending order. 6, 1, -1/561, -2/9 Put 21, 2, -4, 0, 246 in descending order. 246, 21, 2, 0, -4 Put -16, 11, -2, 1, 24 in increasing order. -16, -2, 1, 11, 24 Sort 10429, 2/5, -4 in descending order. 10429, 2/5, -4 Put -2, 2, -5, -1240, 5 in descending order. 5, 2, -2, -5, -1240 Put -5, -10, -2, -3, 581, -4 in descending order. 581, -2, -3, -4, -5, -10 Sort 3, 0.3, -22, 77 in descending order. 77, 3, 0.3, -22 Sort 2, 10, 29, 4, -7 in ascending order. -7, 2, 4, 10, 29 Sort 2, -658, 0.4, 5/7, -3/40. -658, -3/40, 0.4, 5/7, 2 Put -1/30, -4/3, -12, 2/3 in decreasing order. 2/3, -1/30, -4/3, -12 Sort -6927, -3, -54 in descending order. -3, -54, -6927 Put -5, 3, 0.3, -0.03, -1/101 in decreasing order. 3, 0.3, -1/101, -0.03, -5 Sort -38076, 9, 3, -2. -38076, -2, 3, 9 Put 3, -2, -46, -32, 4, 0 in descending order. 4, 3, 0, -2, -32, -46 Put 4, 0, -2, 39 in descending order. 39, 4, 0, -2 Sort -14, -12, -0.3, 2, 4, 4/5 in increasing order. -14, -12, -0.3, 4/5, 2, 4 Sort 59, 24, 4, 3, 8, -3 in decreasing order. 59, 24, 8, 4, 3, -3 Put 64, -2, 11, 2 in descending order. 64, 11, 2, -2 Sort 120, -4, -3, 2/5 in descending order. 120, 2/5, -3, -4 Put -3, 5404, -7, -1 in ascending order. -7, -3, -1, 5404 Sort 2/7, 0.2, -19012, -4/5. -19012, -4/5, 0.2, 2/7 Put 1, 4, -13, -30, -3 in ascending order. -30, -13, -3, 1, 4 Sort -16642, 11, 2. -16642, 2, 11 Put 4, 97531, 2/9 in descending order. 97531, 4, 2/9 Put 20.0034, -3, -3/2 in increasing order. -3, -3/2, 20.0034 Put 20/31, -0.4, 0.4, -3 in decreasing order. 20/31, 0.4, -0.4, -3 Put -1/5, 2.8, -257 in descending order. 2.8, -1/5, -257 Sort -243, -5, 3, 40, 2. -243, -5, 2, 3, 40 Put -4, 193, 73 in descending order. 193, 73, -4 Sort 5, -96649, -3. -96649, -3, 5 Put 31, -0.14, -3, 0.4, -5, -2/3 in descending order. 31, 0.4, -0.14, -2/3, -3, -5 Put 4, 5, 0, 5644 in decreasing order. 5644, 5, 4, 0 Sort -1/6, -7, 2/3, -4657. -4657, -7, -1/6, 2/3 Sort -3, 98, 350 in decreasing order. 350, 98, -3 Sort -37, -1.1, -0.048, -4, 2/19 in increasing order. -37, -4, -1.1, -0.048, 2/19 Sort 8, -3, 3, -2/91, -5, 3/5 in decreasing order. 8, 3, 3/5, -2/91, -3, -5 Put -825, 14, 107 in decreasing order. 107, 14, -825 Sort -3, 22947, -6 in ascending order. -6, -3, 22947 Sort -2, 8108, 11, 2, 3 in descending order. 8108, 11, 3, 2, -2 Sort 0, -1/6, -15, -0.5, -4168 in ascending order. -4168, -15, -0.5, -1/6, 0 Sort 0, 105, -16, -7, 2, -3 in increasing order. -16, -7, -3, 0, 2, 105 Put -2.153, -1/7, -2/11, 1, 2 in decreasing order. 2, 1, -1/7, -2/11, -2.153 Put -8, 538, 73 in ascending order. -8, 73, 538 Put 1, 4, 65, -30, -32, 5 in decreasing order. 65, 5, 4, 1, -30, -32 Put 2, 2/5, 42.1, 4, 1 in decreasing order. 42.1, 4, 2, 1, 2/5 Put -0.5, 1/4, 21626/7 in descending order. 21626/7, 1/4, -0.5 Put 26, -3, -199, 3 in decreasing order. 26, 3, -3, -199 Put 3, -0.2454, -29 in descending order. 3, -0.2454, -29 Put -45, -2/3, -1, 52, 4/5 in increasing order. -45, -1, -2/3, 4/5, 52 Sort 11, -1328, 8 in ascending order. -1328, 8, 11 Sort
{ "pile_set_name": "DM Mathematics" }
- 6. Let u be (-2)/6 - r/(-18). Let n = u - -4. Solve -3 = -n*k + 1 for k. 1 Suppose -l = -2*l - 96. Let t be l/20 + (-1)/5. Let c be (t/10)/((-1)/2). Solve 3*v + 13 = c for v. -4 Let p be 3*4/3 + -2. Let n(b) = -b**3 - 4*b**2. Let h be n(-4). Suppose k - p = -h. Solve j = 4 - k for j. 2 Let t(x) = x - 4. Let i be t(8). Solve 2*m - 2 = i for m. 3 Let u(f) = -f - 25. Let d(m) = 5. Let q(b) = -11*d(b) - 2*u(b). Let v be q(4). Suppose 5*k = 4*w - 3, -7*k + 14 = 5*w - 3*k. Solve -v*l = -w*l + 2 for l. -2 Let c = -1 - -3. Let h = -69 + 39. Let g be (h/4)/((-1)/2). Solve b - g = -c*b for b. 5 Suppose 21 = 4*v - 15. Let t be 3/v - (-23)/3. Suppose 16 = 4*d - 2*w, d - 3*d = 5*w - t. Solve 2 = 3*i - d*i for i. -2 Let l be (45/(-10) + -1)*(-2 - 0). Solve -10*o = -l*o for o. 0 Let q be (-171)/(-21) - 24/(-28). Solve -q - 16 = -5*z for z. 5 Suppose 0 = -5*d + 9 + 11. Suppose 4*j + 15 = d*w + 3*j, -w - 2*j + 6 = 0. Solve -y + w*y = -15 for y. -5 Suppose -h = 3*h - 28. Let d = 10 - h. Suppose 2*f + 5*l = d*f + 5, -5 = -5*l. Solve k - 4 = -f*k for k. 4 Let a(f) = 178*f - 431. Let j be a(3). Solve 0 = -j*w + 100*w for w. 0 Let z be -7*(4/10)/((-21)/15). Let c(n) = -n**2 - 6*n + 9. Let m be c(-7). Suppose -4*x + m*t = -8, -4*t + 5 = 5*x - 18. Solve z*q = -x*q for q. 0 Let l be 2/(-1) - ((-10)/1 + 2). Solve 0 = -l*n + 10*n + 20 for n. -5 Let h = 43 + -106. Let x = 63 + h. Solve x = 4*i + 11 + 9 for i. -5 Let q = 3 + -1. Let g = 175 + -163. Solve y = -q*y - g for y. -4 Suppose -3*m = 4 - 139. Suppose -2*u + 17 = -3*w, 0*u + m = 4*u + 5*w. Solve 7*z - u = 2*z for z. 2 Let l = -10 + 11. Suppose 5*a = -3*i + 83, 4*i - i + 29 = 2*a. Let s be (6/(-4))/((-12)/a). Solve -3*b + s*b = l for b. -1 Let l(k) = -k**3 - 19*k**2 + 41*k - 17. Let o be l(-21). Solve p - 2 = -o for p. -2 Let k(f) = 7*f - 1. Let g = -19 + 25. Let z(i) = i**2 - 4*i - 10. Let n be z(g). Let j be k(n). Solve 0 = 2*v - 3 + j for v. -5 Let r(t) = -4*t**3 - 64*t**2 + 76*t**2 + 5*t**3 + 19*t - 4. Suppose -39 = -f + 5*f - x, -3 = 3*x. Let z be r(f). Solve -4*b - z = -22 for b. 4 Let f = 419 + -419. Solve f = 2*a + 11 - 21 for a. 5 Let s = -1854 + 1878. Solve -8*u = -s*u + 64 for u. 4 Let g be 120/(-75) + (-3)/(-5). Let c be ((-1)/g)/((-1)/(-7)). Let h be (-4)/(-5) - c/(-35). Solve i + h = 4 for i. 3 Let d = 16 + -19. Let f be ((-18)/(-15))/(d/(-10)). Solve 3*c + 16 - f = 0 for c. -4 Let w be (3/(-2))/(-1 + 77/88). Solve w*f = 17*f for f. 0 Suppose -831*z + 14 = -829*z. Solve -i + z*i = 24 for i. 4 Suppose 19 = k + 4*f, -14*f + 15*f - 16 = -4*k. Solve 0*w - k = 3*w for w. -1 Let p(d) = -7*d + 65. Let h be p(8). Solve 27 = -h*o - 9 for o. -4 Suppose 14*y - 13*y + 3 = c, 0 = -2*c - 5*y - 1. Solve c*t - 25 = -3*t for t. 5 Suppose 5*a - 2*c - 83 = 0, -a + 5*c = 12 - 47. Suppose -24 = -5*v + v + f, v + 5*f + a = 0. Suppose -3*g = -5 - 1. Solve g*y + v = -1 for y. -3 Let c be (-388)/(-22) + (-36)/(-99). Solve c*p + 6 = 15*p for p. -2 Let q(o) = 9*o + 12. Let y(t) = -2*t + 1. Let p(x) = -q(x) - y(x). Let j be p(-4). Solve 0 = -0*a + 3*a - j for a. 5 Let x(z) = -z**3 + 34*z**2 + 2*z - 66. Let v be x(34). Solve -5*a + v*a = 15 for a. -5 Let l be 126/33 + (32/44)/4. Solve 8*s + l = -20 for s. -3 Suppose 0 = 3*u - 6*u + 18. Let j = u + -1. Suppose 3*h + 7*h + 4*h = -11*h. Solve x + 1 - j = h for x. 4 Let h(b) = -b - 1. Let p be h(-4). Let s(x) = -822*x - 5752. Let f be s(-7). Solve p*r - r = -f for r. -1 Let f be ((-18)/(-15))/(20/150). Solve -f*r - 15 = -6*r for r. -5 Suppose 2*j = 2*m - 6, -2*j + 0 + 4 = 0. Suppose m*h + 35 - 170 = 0. Suppose -2*p - 3*c = -9 - h, -2*p + 12 = -3*c. Solve 0*g + 3*g + p = 0 for g. -4 Let z be 9/2 + (-7)/14. Suppose -h + 20 = 4*h. Solve 0*t - h*t = z for t. -1 Suppose 12 = 5*h - 18. Let t(z) = -z**2 + 7*z. Let v be t(h). Solve -3*y = -v*y - 3 for y. -1 Let l(x) = x**2 + 3. Let a be l(5). Let z = 17 - a. Let p be (z/33)/(1/(-27)). Solve p*v = 4*v for v. 0 Let z = -304 + 307. Solve z*i - 17 = -5 for i. 4 Let m be 10 - (28/7 + 0). Solve -m - 2 = 2*s for s. -4 Let k(t) = -t**2 + 29*t - 71. Let w be k(26). Solve -16 = -3*c - w for c. 3 Let s be (-3 - 1) + 1 + 8. Let c be (-6)/s*(-110)/44. Solve 3*z + c = -3 for z. -2 Let r be 3*(-1)/3 - -5. Suppose -14*q = -13*q - r. Solve -14 + q = -2*o for o. 5 Suppose -2*o + 16 = -2*z, 5*z + 16 = -0*o - o. Let j be (z/(-5))/((-5)/(-50)). Let w(m) = m**2 - 7*m. Let g be w(j). Solve p = -p + g for p. 4 Let v(j) = 2*j + 2. Let k be v(-1). Suppose -c - 6 = 3*o - k*o, 4 = -4*c - 2*o. Solve 0 = 2*y - c*y for y. 0 Let j = 292 + -287. Solve -j*k = 14 + 11 for k. -5 Suppose 3*i - 37 = 8. Let m = i + -7. Suppose m*w = 5*w. Solve w*u = 4*u for u. 0 Suppose 5*m + 12 = 9*m. Suppose 4 + 8 = m*u. Solve -u*j - 4 = -2*j for j. -2 Let u(i) = -2*i**2 - 4*i - 4. Let x be u(-2). Let v be (-11)/(-4) + (-1)/x. Solve -4*l + l = -v for l. 1 Let j(k) = -k**3 + 3*k + 6. Let l be j(-2). Solve 4*w - 4 = l*w for w. -1 Let w(r) = -2*r**2 - 7*r - 2. Let s be w(-5). Let o(l) = -l - 9. Let t be o(s). Solve j = 3*j - t for j. 4 Let c = 178 - 174. Solve -16*r + 15*r = -c for r. 4 Suppose -6*l = -2 + 2. Solve l = 4*m - m for m. 0 Let m be 2*-5*10/4. Let t = -21 - m. Suppose -4*k + 2 = 3*q + t, 0 = q + k. Solve 1 = i + q for i. -1 Let x = -2 + 29. Let a = x - 22. Suppose -a*p + 5 + 10 = 0. Solve -d = p*d + 20 for d. -5 Suppose -26 = -7*q - 5*g + 112, g = -4*q + 77. Solve -12*t = 29 + q for t. -4 Suppose 223 = -m + 228. Solve -15*w + m*w + 10 = 0 for w. 1 Suppose 5*j - 10 = 0, 2*j + 2 = -5*i - 4. Let d be 0 + i + (-6)/(-3). Solve d*x + 12 = 3*x for x. 4 Let z(w) = -w**3 - 42*w**2 - 84*w - 139. Let m be z(-40). Solve -m = 15*k - 8*k for k. -3 Suppose 0 = q - 2. Let x = q - 8. Let a be -1 + (x/3)/(-2). Solve -2*b + 2 + 0 = a for b. 1 Let d(p) = -6*p**3 + p**2 - 3*p - 7. Let b be d(-2). Let l = b + -47. Solve -l + 0 = x for x. -4 Let n(b) = -6*b + 33. Let l be n(5). Suppose -9*h + 39 = l. Solve -h*d + 9 = -d for d. 3 Let g(p) = -p**2 - p. Let k(b) = -8*b**2 - 27*b - 15. Let w(a) = 6*g(a) - k(a). Let s be w(-10). Solve -s*r = -9*r for r. 0 Let a = -18 - -6. Let q(p) = -p**2 - 14*p - 19. Let g be q(a). Solve -r + g = -0*r for r. 5 Let q be -3 - 111/(-6) - (-2)/4. Solve q = m + 14 for m. 2 Let g be (6*8/8)/2. Let c(t) = t**3 - 7*t - 3 + 14*t + 0 - 7*t**2. Let u be c(6). Solve -u = -g*h + 4*h for h. -3 Let s be 3/4 - 12727/(-572). Solve 11*a + s + 21 = 0 for a. -4 Let k = 20 + 1. Suppose -b - 2*o = 2*o + 36, -5*b - 108 = 2*o. Let y = k + b. Solve d + y = -0*d for d. -1 Let z = -210 + 214. Solve -z*f + 12 = -10*f for f. -2 Let n be (-1 - (-5 - 0)) + 3 + -1. Solve b + 11 = n for b. -5 Let l(n) = n - 10. Let j be l(10). Suppose j = 3*h + 3*o - 9, -2*h + 7*o - 3*o = 0. Suppose 2*x = -v + 4, 5*v + h - 15 = -3*x. Solve v = 5*y - 8 for y. 2 Let w = -19 + 8. Let h be (-1 - -2)*(w + -5). Let i = 21 + h. Solve -i*j + 0*j - 10 = 0 for j. -2 Let m(i) = 51*i - 393. Let f be m(8). Solve -10*x + f = -5 for x. 2 Let x(k) = 24*k - 40. Let f be x(3). Solve -t + 9*t - f = 0 for t. 4 Let o be (-75)/9 + 9/(162/(-12)). Let d(b) = -b**2 - 10*b - 5. Let v be d(o). Solve s - v*s + 3 = 0 for s. 1 Let j(b) = -b**2 + 6*b - 3. Let c(f) = -f + 12. Let o be c(8). Let z be j(o). Suppose -z*t + 7*t = 14. Solve -2*w + 25 = -t*w for w. -5 Let j be 10/140*4 + (-47)/(-7). Solve 0 = k - j*k - 30 for k. -5 Let c(l) = 3*l**3 + 2*l**2 - 1. Let p be c(1). Let w(h) = h + 27. Let y be w(13). Let n = y + -20. Solve 0 = 4*z + p - n for z. 4 Suppose -3*q - 3*x + 20 = -4, -4*q + 3*x = -32. Suppose 12 = 3*z + l, -5*z + 46 - 18 = -l. Solve z*r = q + 2 for r. 2 Suppose -214 = 3*c + 248. Let x = c - -156. Solve -v = -x*v + 4 for v. 4 Let j be 0/(1 - -4)*1. Suppose 5*f - 5*w = j, -5*f - 9*w + 7*w + 21 = 0. Solve 4 = -f*o + 10 for o. 2 Suppose -2 = -b - 0*b. Let d = b + -3. Let l be -6*d/3*1. Solve -3*u = -l*u for u. 0 Let a(u) = 5*u + 8 + u + u**3 - 8*u**2 + 0*u + 0*u. Let c be a(7). Suppose -2*g - s - c = -10, 5*g - 3*s = -5. Solve 5 = b - g*b for b. -5 Suppose m = 20*i - 25*i + 30, 0 = -i - 5*m + 6. Solve -i*w + 5*w + 2 = 0 for w. 2 Suppose -3*v + 10 = 4. Suppose 5*p + 9 = 3*o - 18, -v*o - 2*p + 2 = 0. Solve 3 + 1 = -o*r for r. -1 Let r(q) = q**2 - 5*q - 6. Let m be r(7). Suppose 9*z - 3 = m*z. Suppose -4*v = 4*u - 2*u - 26, 4*v - 31 = -z*u. So
{ "pile_set_name": "DM Mathematics" }
225 and 9281818. 169 Calculate the greatest common factor of 2879896 and 376. 8 Calculate the highest common divisor of 5488 and 3032. 8 Calculate the highest common divisor of 116 and 378869572. 116 What is the highest common divisor of 650 and 1089150? 50 Calculate the highest common factor of 13506777 and 148143. 6441 What is the highest common divisor of 10176009 and 114253? 1873 Calculate the highest common divisor of 2230 and 55296418. 446 What is the highest common factor of 2225548 and 837108? 1348 What is the highest common divisor of 44 and 1774736? 4 Calculate the highest common divisor of 529433 and 7511. 37 What is the greatest common factor of 9050664 and 12? 12 Calculate the highest common factor of 170922 and 5066950. 934 Calculate the greatest common divisor of 590 and 16078050. 10 What is the highest common factor of 89538 and 114? 6 Calculate the greatest common divisor of 1850 and 50303350. 1850 What is the greatest common divisor of 44 and 17005549? 11 Calculate the greatest common divisor of 4791108 and 71736. 84 What is the greatest common factor of 3082272 and 1176416? 3104 Calculate the highest common factor of 95 and 318658842. 19 What is the greatest common factor of 4222884 and 3219? 111 Calculate the highest common divisor of 70 and 277463165. 35 What is the highest common factor of 97265700 and 245700? 6300 Calculate the greatest common factor of 138136786 and 642. 214 Calculate the greatest common divisor of 1854978525 and 16542. 8271 What is the greatest common divisor of 499824 and 20025? 801 Calculate the greatest common factor of 10148490 and 7650. 1530 Calculate the greatest common divisor of 75123 and 25704. 153 Calculate the greatest common factor of 2392 and 19345976. 104 What is the greatest common factor of 224275 and 25? 25 Calculate the greatest common factor of 7162554 and 42. 42 What is the greatest common factor of 13950 and 107115850? 1550 What is the highest common factor of 10132520 and 810? 10 What is the highest common factor of 83 and 196711577? 83 What is the highest common factor of 620460 and 7695? 405 What is the highest common factor of 9 and 42921693? 9 What is the highest common factor of 131069114 and 178669? 6161 Calculate the greatest common divisor of 984197 and 328700. 173 What is the highest common factor of 3636578 and 106502? 1034 What is the greatest common divisor of 5856 and 3746742? 366 What is the highest common factor of 124470208 and 172? 172 Calculate the highest common factor of 153 and 3770124. 51 What is the highest common factor of 41848 and 301635153? 5231 What is the highest common factor of 7570975685 and 91? 91 Calculate the highest common divisor of 16790 and 404420. 730 Calculate the highest common divisor of 493 and 26358245. 493 Calculate the highest common divisor of 2702378040 and 655. 655 What is the greatest common factor of 1952640 and 900? 180 What is the highest common divisor of 8897 and 1146243? 7 Calculate the highest common factor of 58226641 and 74. 37 What is the highest common divisor of 75 and 107400435? 15 Calculate the greatest common divisor of 369 and 8031162. 123 What is the highest common factor of 5445 and 1920105? 495 What is the highest common factor of 6223 and 628670? 49 What is the greatest common divisor of 8495637 and 609? 87 Calculate the greatest common factor of 13193 and 255677. 167 What is the highest common factor of 128593 and 7981? 23 What is the greatest common divisor of 3473 and 2461? 23 What is the highest common divisor of 257 and 442297? 257 Calculate the greatest common divisor of 148079313 and 18492. 4623 What is the greatest common divisor of 85 and 180506? 17 What is the highest common divisor of 167868 and 56? 4 What is the highest common factor of 1287 and 137165886? 1287 Calculate the highest common factor of 106646 and 1883. 1 What is the highest common factor of 416236 and 2358? 2 What is the highest common divisor of 2027790 and 14370? 30 Calculate the highest common divisor of 227962 and 61978. 266 Calculate the highest common divisor of 11000 and 6072. 88 What is the highest common divisor of 188188 and 1498497? 1001 What is the greatest common factor of 67657189 and 5317? 409 What is the greatest common divisor of 450274 and 2134? 2134 Calculate the greatest common divisor of 16515279 and 594. 297 Calculate the greatest common factor of 16317 and 83466894. 5439 What is the highest common divisor of 34043 and 7788? 59 What is the greatest common factor of 12510 and 22332852? 2502 Calculate the greatest common divisor of 9409422 and 4. 2 What is the highest common divisor of 260670 and 7560? 30 Calculate the greatest common factor of 231 and 47454. 33 What is the greatest common divisor of 13123760 and 65? 65 What is the highest common factor of 3589 and 21677851? 97 What is the greatest common divisor of 53710258 and 25123? 679 Calculate the greatest common divisor of 3128410 and 230. 10 What is the greatest common factor of 187875776 and 1012? 1012 Calculate the highest common divisor of 2985 and 215915. 995 Calculate the greatest common factor of 100018296 and 28. 28 What is the highest common divisor of 2859964 and 6? 2 What is the highest common factor of 47157 and 15939? 33 What is the greatest common divisor of 775 and 724835? 5 Calculate the highest common factor of 990 and 135982. 22 Calculate the greatest common factor of 12501467 and 568. 71 What is the highest common factor of 252 and 650016504? 36 Calculate the greatest common factor of 10744 and 5908568. 632 Calculate the greatest common divisor of 38696487 and 222. 111 What is the highest common divisor of 5026524 and 36? 12 What is the highest common factor of 53856 and 43032? 264 Calculate the highest common divisor of 67692 and 7932. 12 Calculate the greatest common factor of 23180 and 15341500. 1220 What is the highest common factor of 281 and 242399030? 281 Calculate the greatest common factor of 4437 and 89684095. 493 What is the highest common factor of 31966857 and 3042? 1521 What is the greatest common factor of 1 and 656654188? 1 What is the highest common factor of 1221129914 and 386? 386 Calculate the highest common divisor of 340566 and 78. 6 Calculate the highest common factor of 480580 and 27440. 20 Calculate the greatest common factor of 20645267 and 3572. 893 What is the greatest common factor of 3424 and 1813757? 107 Calculate the greatest common divisor of 5161 and 38701. 13 What is the highest common divisor of 430521011 and 148? 37 What is the highest common factor of 41 and 53165561? 41 Calculate the greatest common factor of 12038 and 10300. 2 What is the greatest common divisor of 31842 and 29004768? 1098 What is the greatest common factor of 26724 and 9790416? 1572 Calculate the greatest common divisor of 108 and 2321442. 18 Calculate the greatest common factor of 16922933 and 292. 73 What is the greatest common divisor of 3351140 and 1820? 260 Calculate the greatest common divisor of 23297928 and 96. 24 Calculate the highest common divisor of 11 and 61467703. 11 Calculate the highest common factor of 13 and 986824527. 13 Calculate the greatest common divisor of 1282810 and 4890. 1630 Calculate the greatest common factor of 492 and 29043867. 123 Calculate the greatest common factor of 1113 and 27306279. 21 Calculate the greatest common factor of 380876958 and 2772. 1386 Calculate the highest common divisor of 2964996 and 36. 36 Calculate the highest common divisor of 717 and 43533372. 717 What is the highest common factor of 40136 and 47? 1 What is the highest common divisor of 176670 and 356850? 1170 What is the greatest common divisor of 11043982 and 84286? 1258 What is the highest common factor of 18836 and 154012? 1108 What is the highest common factor of 69702399 and 64467? 3393 Calculate the greatest common factor of 747697344 and 64. 64 What is the greatest common factor of 1075 and 216935? 215 Calculate the highest common factor of 11767112 and 32. 8 Calculate the highest common factor of 27 and 624363. 3 Calculate the highest common divisor of 881 and 540053. 881 Calculate the highest common divisor of 10560 and 23176. 8 What is the highest common divisor of 2816 and 2331769? 11 What is the highest com
{ "pile_set_name": "DM Mathematics" }
-6 Let m(h) = 6*h**2 + 5*h + 5. Calculate m(-2). 19 Let c(s) = -s + 1. Determine c(-9). 10 Let p(v) = -v**3 + 8*v**2 - 10*v - 12. Give p(5). 13 Let h(w) = -w**3 + 3*w**2 + 5*w - 2. Give h(4). 2 Let i(h) = h**2 - 2*h + 18. What is i(10)? 98 Let x(i) = i - 41. Calculate x(0). -41 Let k(t) = 26*t**3 - 2*t - 1. Determine k(-1). -25 Let c(b) = 11*b - 1. Determine c(3). 32 Let j(r) = r**2 + 16*r + 1. What is j(-16)? 1 Let u(m) = -m**3 - 53*m**2 - 3*m - 159. Calculate u(-53). 0 Let g(n) = -n**3 - 8*n**2 + n - 5. Determine g(-8). -13 Let l(v) = 9*v - 50. Calculate l(8). 22 Let h(s) = 11*s + 9. Calculate h(-4). -35 Let w(r) = 3*r + 38. Give w(-12). 2 Let m(s) = s**2 - 17*s - 39. Give m(19). -1 Let l(t) = -2*t**2 + 29*t + 22. Give l(15). 7 Let l(y) = -y**2 + 13*y - 5. Determine l(15). -35 Let x(k) = k**3 - 9*k**2 + 20*k + 7. Give x(5). 7 Let l(a) = -4*a**2 - 29*a + 18. Give l(-8). -6 Let g(b) = b**2 + 22*b - 80. Calculate g(-25). -5 Let o(n) = n**3 + n**2 + n - 2. Determine o(0). -2 Let d(w) = -2*w - 3. Determine d(0). -3 Let u(l) = 20*l + 7. Calculate u(5). 107 Let x(i) = 8*i**3 + i**2 - 3*i + 3. What is x(1)? 9 Let d(y) = 5*y + 5. Give d(-9). -40 Let u(q) = -2*q**3 - 33*q**2 - 16*q - 33. Give u(-16). -33 Let s(j) = 13*j + 4. Calculate s(-2). -22 Let u(l) = -l**2 + 2*l + 8. What is u(4)? 0 Let s(p) = p**3 - 7*p**2 + 4*p - 1. Calculate s(6). -13 Let r(f) = -f**2 - 5*f + 2. Calculate r(-4). 6 Let w(d) = -2*d**2 + 22*d - 15. What is w(10)? 5 Let r(u) = -u - 63. Determine r(0). -63 Let r(b) = -b - 8. Determine r(-10). 2 Let o(b) = 8*b**2 + 7*b - 50. Give o(4). 106 Let d(n) = -7*n + 6. Determine d(8). -50 Let a(p) = -2*p**2 + 5*p + 2. Calculate a(5). -23 Let f(t) = 4*t**3 - 5*t - 7. What is f(-1)? -6 Let l(u) = -3*u - 5. Calculate l(2). -11 Let v(j) = j**3 + 10*j**2 + 11*j + 10. What is v(-9)? -8 Let i(q) = -q**3 - 11*q**2 + 6*q - 13. Determine i(-12). 59 Let z(b) = b**2 - 14*b + 30. Calculate z(12). 6 Let o(a) = 8*a + 79. Determine o(-16). -49 Let y(l) = 26*l + 35. Give y(-2). -17 Let m(z) = z**3 + 33*z**2 + 57*z - 83. Give m(-31). 72 Let t(u) = 2*u**2 + 28*u + 50. Determine t(-2). 2 Let p(g) = 4*g + 45. Calculate p(-13). -7 Let n(i) = -i**3 - i**2 + 16. Determine n(0). 16 Let n(x) = -x**3 - 20*x**2 - 3*x - 28. Calculate n(-20). 32 Let i(t) = -t**2 - 24*t + 5. Determine i(-22). 49 Let x(y) = 7*y**2 - y - 29. Determine x(5). 141 Let c(s) = s**2 + 12*s + 10. What is c(-11)? -1 Let d(f) = 13*f**3 - 3*f**2 - f + 1. Calculate d(-1). -14 Let o(t) = -t - 25. What is o(12)? -37 Let h(a) = -3*a + 20. What is h(-4)? 32 Let x(m) = -m**2 - 8*m - 15. Calculate x(-11). -48 Let n(o) = -o**3 - 6*o**2 - 9*o - 23. What is n(-5)? -3 Let a(l) = 2*l**2 - 20*l - 20. Determine a(11). 2 Let k(s) = 3*s - 12. What is k(5)? 3 Let p(g) = 2*g**2 + 11*g + 3. Calculate p(-5). -2 Let p(z) = 22*z - 22. Determine p(7). 132 Let r(t) = -16*t - 117. What is r(-7)? -5 Let b(d) = 2*d**3 + 42*d**2 + 2*d + 46. Give b(-21). 4 Let d(u) = u**2 + 18*u - 99. Determine d(-23). 16 Let l(w) = -4*w**2 - 3*w. Calculate l(-1). -1 Let n(f) = 6*f. What is n(6)? 36 Let p(n) = -6*n**3 + n**2 + 4*n + 4. Calculate p(-1). 7 Let u(c) = 2*c**3 - 6*c**2 - c + 1. What is u(3)? -2 Let c(m) = -m**3 - 14*m**2 - m - 10. Give c(-14). 4 Let j(x) = x**2 - 7*x + 4. Calculate j(7). 4 Let u(j) = j**3 + 14*j**2 - 3*j - 45. Determine u(-14). -3 Let c(g) = g**3 + 5*g**2 - 4*g - 1. What is c(-3)? 29 Let j(r) = 6*r**2 - 6. Determine j(-2). 18 Let t(r) = 7*r**2 - 98*r + 4. Determine t(14). 4 Let v(s) = -s**3 + 7*s**2 + 20*s - 14. Give v(9). 4 Let w(r) = 7*r - 21. What is w(5)? 14 Let z(u) = u**3 + 6*u**2 + 2*u - 3. Give z(-5). 12 Let j(l) = -l**3 + 13*l**2 + 2*l - 28. Determine j(13). -2 Let h(i) = i**3 - 9*i**2 + 4*i - 8. What is h(8)? -40 Let r(q) = -q**3 + 7*q**2 - 4*q - 4. What is r(7)? -32 Let m(q) = 23*q - 19. Give m(1). 4 Let d(j) = 3*j + 42. Give d(-17). -9 Let n(i) = 3*i - 61. Calculate n(21). 2 Let v(s) = s**3 + 8*s**2 - 3*s + 15. Determine v(-8). 39 Let y(n) = -2*n**3 + 41*n**2 - 17*n - 55. Calculate y(20). 5 Let i(g) = -g**2 - 14*g. Determine i(-14). 0 Let k(p) = -17*p - 131. Give k(-8). 5 Let j(b) = -11*b**3 + 2*b**2 + 3*b - 3. What is j(-2)? 87 Let p(b) = -5*b + 119. Determine p(21). 14 Let a(y) = -y**2 + 8*y + 23. Determine a(8). 23 Let u(n) = -6*n + 32. Calculate u(5). 2 Let j(f) = f**2 - 9*f - 7. Determine j(7). -21 Let i(g) = -34*g + 2. What is i(-1)? 36 Let j(p) = 7*p - 6. What is j(11)? 71 Let r(z) = -z**3 - 13*z**2 - 22*z + 2. Calculate r(-11). 2 Let w(j) = -2*j**2 + 5*j + 6. Determine w(6). -36 Let u(l) = -15*l + 46. Determine u(3). 1 Let w(p) = p**3 + 12*p**2. Calculate w(-12). 0 Let v(p) = 3*p - 19. Calculate v(10). 11 Let u(j) = -33*j + 4. What is u(-2)? 70 Let m(f) = f**2 - 13*f - 18. What is m(15)? 12 Let v(d) = -5*d - 18. Determine v(-15). 57 Let i(l) = l**3 - 25*l**2 - 28*l + 58. What is i(26)? 6 Let s(o) = -o**2 - 11*o - 25. Determine s(-8). -1 Let t(s) = -20*s**2 + 173*s + 58. What is t(9)? -5 Let q(o) = -2*o**3 - 2*o**2 - o. Give q(-1). 1 Let p(i) = 8*i**2 + 24*i - 23. Give p(1). 9 Let j(h) = -h**3 - 7*h**2 + 12*h + 14. What is j(-8)? -18 Let k(y) = y**3 + 7*y - 22. What is k(0)? -22 Let d(h) = -h**2 + 26*h - 93. Calculate d(22). -5 Let s(j) = 4*j**2 + 109*j + 314. Determine s(-24). 2 Let i(r) = -r**2 - 36*r - 290. Determine i(-13). 9 Let u(t) = 3*t**2 + 2*t + 1. Give u(-5). 66 Let t(i) = 2*i + 5. Calculate t(-6). -7 Let b(t) = t**3 - 3*t**2 - 5*t + 4. Calculate b(5). 29 Let v(s) = -s**3 + s**2 + s + 12. Give v(0). 12 Let m(y) = 2*y + 80. Determine m(-35). 10 Let z(w) = 35*w - 420. Calculate z(12). 0 Let o(f) = -2*f**2 + 38*f + 14. Calculate o(20). -26 Let i(m) = -4*m - 31. Determine i(-10). 9 Let l(m) = 12*m - 18. Give l(5). 42 Let r(a) = -40*a**3 + a**2 - 3*a - 2. Give r(-1). 42 Let a(x) = -x**3 - 15*x**2 + 15*x - 13. Give a(-16). 3 Let r(y) = -11*y + 452. Calculate r(42). -10 Let j(r) = r**3 - 6*r**2 + 2*r - 4. Determine j(6). 8 Let x(d) = -9*d**2 + d. Calculate x(1). -8 Let y(t) = 2*t**3 - 14*t**2 - 6. Give y(7). -6 Let o(b) = -14*b + 15. Calculate o(-2). 43 Let p(d) = -d**2 + 26*d + 359. Give p(-10). -1 Let d(j) = -j**3 - 5*j**2 - j - 10. Calculate d(-5). -5 Let z(r) = -6*r**3 - 3*r**2 + 3*r - 2. Determine z(1). -8 Let j(w) = -w**2 - 8*w - 8. What is j(-7)? -1 Let v(o) = 2*o - 2. Give v(3). 4 Let q(l) = l**2 - l - 156. What is q(-12)? 0 Let m(i) = i**3 - 12*i**2 + 9*i + 12. Give m(11). -10 Let l(j) = j**3 + 18*j**2 + j + 22. Give l(-18). 4 Let m(d) = -d**3 - 3*d**2. Determine m(-3). 0 Let i(c) = c + 1. Give i(7). 8 Let t(b) = -b**3 + 16*b**2 - 14*b - 17. What is t(15)? -2 Let b(i) = 4*i**2 + 2*i + 3. Determine b(-3). 33 Let y(t) = t**3 + 15*t**2 + 33*t - 26. Calculate y(-12). 10 Let s(d) = -22*d - 1. Give s(-1). 21 Let p(n) = -n**3 - 6*n**2 - n - 5. Give p(-6). 1 Let z(t) = 2*t**3 + 34*t**2 + 31*t - 9. Give z(-16). 7 Let h(g) = -g**3 + 6*g**2 - 5*g - 5. Determine h(5). -5 Let u(g) = -g**2 - 20*g + 255. Give u(-29). -6 Let r(t) = 9*t + 150. Calculate r(-16). 6 Let y(v) = 5*v + 9. Give y(-10). -41 Let t(s) = s**3 + 5*s**2 - 4. Determine t(-4). 12 Let p(d) = d**3 - 8*d**2 + 9*d - 1. Give p(6). -19 Let t(p) = 5*p - 16. Give t(9). 29 Let g(r) = r**3 + 8*r**2 - 6*r + 5. Give g(-8). 53 Let m(u) = 4*u + 20. Give m(-7). -8 Let n(d) = d**3 + 12*d**2 - 2. Give n(-12). -2 Let h(m) = 10*m - 1. Give h(-1). -11 Let s(r) = -33*r + 2. What is s(-1)? 35 Let l(v) = -v**2 + v + 1. Determine l(-4). -19 Let x(i) = i**2 + i - 3. Calculate x(-5). 17 Let u(x) = 17*x + 39. What is u(-2)? 5 Let w(i) = i + 3. Determine w(-12). -9 Let q(o) = -o**2 - 13*o - 9. Calculate q(-12). 3 Let d(w) = 8*w - 157. What is d(19)? -5 Let r(u) = -u**2 + 15*u + 9. What is r(16)? -7 Let z(b) = b**3 + b**2 - 3*b - 2. Calculate z(0). -2 Let y(a) = a - 9. Calculate y(-7). -16 Let t(n) = -10*n**2 - 4*n + 1. Give t(-2). -31 Let l(b) = b - 4. Determine l(6). 2 Let r(j) = -j**2 + 7*j - 4. What is r(9)? -22 Let l(g) = -g + 14. What is l(32)? -18 Let n(q) = -q**3 + 6*q**2 + 9*q + 6. Calculate n(7). 20 Let p(k) = k**3 - 10*k**2 + 8*k + 12. Calculate p(9). 3 Let q(h) = -h**3 + 6*h**2 + 24*h - 65. What is q(8)? -1 Let s(u) = 3*u - 7. Determine s(-3). -16 Let u(m) = 4*m**2 - 3*m + 3. What is u(1)? 4 Let v(t) = 142*t**3 + 2*t**2 - 3*t + 2. Give v(1). 1
{ "pile_set_name": "DM Mathematics" }
se -a + 2337 = 3*s - 2*a, 0 = 5*a - 15. Let g = 1104 - s. List the prime factors of g. 2, 3 Suppose c - 2*m = -61 - 196, 3*c + 735 = -3*m. Let d = c + 362. What are the prime factors of d? 113 Suppose 3*d + 72 = 7*d. Suppose 2*n = -d - 2. What are the prime factors of ((-234)/n)/((-3)/(-10))? 2, 3, 13 Let g(c) be the second derivative of -7*c**3/2 - c**2 - 3*c. Let k be g(-5). Suppose -k + 31 = -2*l. What are the prime factors of l? 2, 3 Let x(u) = -49*u + 396. Let d be x(8). Let f be (-27 + 1)*(-1)/1. Suppose -d*a = -f - 46. List the prime factors of a. 2, 3 Let o = -2 - -7. Suppose -o*d - 5 = -10. Suppose -d = 3*h - 34. List the prime factors of h. 11 Suppose -3*g + 9 = 3. Suppose 32 = 2*w + g*w. List the prime factors of (w/(-6))/(8/(-36)). 2, 3 Suppose 0 = -0*a - 4*a, 3*a = -4*z + 1044. List the prime factors of z. 3, 29 Let x(o) = o + 13. Suppose 0 = g + 2*g + z + 24, -15 = g - 2*z. Let u be x(g). Suppose -5*c + c - u*y = -28, 1 = -y. List the prime factors of c. 2 Let m be 1 - 0/(1 - 2). Let f(j) = -26*j + 1 + m + 47*j. What are the prime factors of f(3)? 5, 13 Let r be 1/(6/(-21) - (-34)/70). Suppose -r*b + 57 = -38. List the prime factors of b. 19 Suppose 7*p - 3*p = 12. Suppose 3*j - 4*o = 16, -p*j + 5*o = -14 - 3. Suppose 25 - 129 = -j*t. List the prime factors of t. 2, 13 Let i(m) be the second derivative of -m**3/2 + 2*m**2 - 23*m. What are the prime factors of i(0)? 2 Let b = 3911 + -1343. What are the prime factors of b? 2, 3, 107 Suppose 2*n + 2 = -134. Let l = n - -116. What are the prime factors of l? 2, 3 Suppose -78*d + 68*d = -3520. List the prime factors of d. 2, 11 Suppose -4*r - 555 = -4*b - r, -3*b + 435 = 4*r. Suppose -5*w - b = -2*i, -2*i - 3*i - 2*w = -425. List the prime factors of i. 83 Let s be (-3 - (-5)/2)/((-1)/112). Suppose 0 = -y + 9*y - s. What are the prime factors of y? 7 Suppose y - 5 = -1. Suppose -y*j = -3*u - 79, 0*j - 71 = -4*j - 5*u. Let o = 33 - j. What are the prime factors of o? 2, 7 Suppose 4*s - 4 - 5 = o, s - 12 = -3*o. Suppose 112 = s*i + 10. What are the prime factors of i? 2, 17 Let a = -31 + 33. Suppose 2*k - 116 = -2*q, 5*q = -a*k + 2 + 297. List the prime factors of q. 61 Let c = -1 + -2. Let w(b) be the first derivative of 5*b**3/3 + 2*b**2 + b - 10. What are the prime factors of w(c)? 2, 17 Let u = 21 - 13. Let x(m) = -m**3 + 17*m**2 + 19*m - 17. Let k be x(18). Suppose -w - k = -u. What are the prime factors of w? 7 Let j(b) = b**3 + 12*b**2 - 28*b - 14. Let l be j(-14). List the prime factors of (1 + l)/((0 + 7)/(-98)). 2, 7, 13 Let b = 8 - -107. Let j = -47 + b. List the prime factors of j. 2, 17 Suppose 0 = -6*w + 13 + 23. Suppose 444 = -w*u + 84. Let c = u - -120. What are the prime factors of c? 2, 3, 5 Let y(t) = 3*t + 4. Let z(x) = 4*x + 3. Let m(w) = 6*y(w) - 5*z(w). What are the prime factors of m(-9)? 3 Let c = 62 - -247. List the prime factors of c. 3, 103 Let z(l) be the first derivative of l**4/4 - 4*l**3/3 + 5*l**2 + 7*l + 7. What are the prime factors of z(5)? 2, 41 Let m(n) = n + 8. Let u be m(5). Let b = u - 14. List the prime factors of 3/(3/44) - b. 3, 5 Let c = -7 + 8. Let z = c - -2. Suppose -2*b + 5*b - 48 = -z*h, -4*h = 2*b - 54. List the prime factors of h. 11 Suppose 0 = -2*q - 4*u + 8534, 2*u = -4*q + 3*u + 17077. What are the prime factors of q? 3, 1423 Let k(x) = 14*x**2 - x. Let l be k(1). Suppose -l*j = -15*j. Suppose 5*s - 105 - 125 = j. What are the prime factors of s? 2, 23 Suppose 0 = 5*o + 4*u + 17, -5 = u - 2. Let i(a) = -a**3 - 3*a**2 + 16*a - 10. Let f be i(-6). What are the prime factors of ((-2)/f)/(o/12)? 2, 3 Suppose 0 = 4*j - 3*f - 20, -4*j + 3*j + f + 6 = 0. Suppose -106 = -g + 5*n, 4*g + j*n = 5*n + 356. What are the prime factors of g? 2, 43 Let n(a) = -a**3 - a**2 + a + 1. Let p(w) = -3*w**3 - 19*w**2 - 8*w + 8. Let b(f) = 4*n(f) - p(f). Let v be b(17). What are the prime factors of (8/(-6))/(9/v)? 2, 7 Let v be (-5 + 4 - 1)*(-2)/(-4). What are the prime factors of (-6)/(-39) - v/((-26)/(-594))? 23 Suppose 3*i = 117 + 726. Suppose -5*u - 2*h + 55 + i = 0, -3*u + 2*h + 208 = 0. Suppose u = 2*x + 2*x. List the prime factors of x. 17 Suppose -8*r = -6*r + 4. What are the prime factors of (-3 + (-27)/2)*r? 3, 11 Let h = 1492 + -947. What are the prime factors of h? 5, 109 Let r be (-2)/4*2 + 26. Suppose 3*k - r = -1. Suppose w - 11 = -2*w - 4*f, 3*f + k = w. List the prime factors of w. 5 Suppose 0 = 9*j - 8*j + 5*r - 735, 4*j = 3*r + 3032. List the prime factors of j. 5, 151 Let d(x) = x**2 + 14*x - 31. List the prime factors of d(-17). 2, 5 Suppose 4*q = -4*w - 5 - 3, 5*q + 5 = -4*w. Let p = 7 + w. Suppose 4 = p*i - 78. What are the prime factors of i? 41 Suppose 74*s - 62*s - 4872 = 0. What are the prime factors of s? 2, 7, 29 Suppose 2*m - 280 = -2*q, 0 = -4*m + 3*q + 328 + 204. Suppose 5*y + m = 586. What are the prime factors of y? 2, 3, 5 Let s = -168 + 253. Suppose 6*c = c - s. Let a = c + 70. What are the prime factors of a? 53 Let h(z) = -5*z - 18. Let q(c) be the second derivative of -c**3/2 - 9*c**2/2 + 3*c. Let m(n) = -4*h(n) + 7*q(n). What are the prime factors of m(-9)? 2, 3 Suppose 2 + 2 = -s. Let l be 1 - 0 - (s - 0). Suppose l + 25 = h - 3*n, 4*n = 0. List the prime factors of h. 2, 3, 5 Let q(r) = -26*r + 9. Let a be q(-5). Let j = 216 - a. What are the prime factors of j? 7, 11 Suppose 4*a + 2*u - 290 = 0, 3*u + 265 = 4*a - 0*u. Let p = a + -29. List the prime factors of p. 41 Suppose 15*z - 16*z = -56. Let s = z - 47. What are the prime factors of s? 3 Suppose -4*g - 5*z + 2186 = 365, 2*g + 4*z = 912. Suppose 3*w + 2*r + g = -0*r, -301 = 2*w + 3*r. What are the prime factors of (-1)/3*(w - 7)? 53 Suppose -9*q + 12 + 6 = 0. Suppose 5*s = o - 13 - 59, 0 = q*o + s - 111. List the prime factors of o. 3, 19 Let t be ((-45)/12)/((-5)/20). Suppose -t*o + 12 = -14*o. List the prime factors of o. 2, 3 Suppose -5*p - 9 + 19 = 0. List the prime factors of ((-95)/p)/((-3)/6). 5, 19 List the prime factors of 30/18*20*(-108)/(-10). 2, 3, 5 Let g be ((-6)/4)/((-42)/280). Let r be (-8)/(-10) - 788/g. Let b = 146 + r. List the prime factors of b. 2, 17 Let y(k) = -18*k - 15. Let n(c) = -10*c - 7. Let q(w) = 5*n(w) - 3*y(w). What are the prime factors of q(8)? 2, 3, 7 Let z be 437 + ((-27)/36 - 1/4). Suppose -z = -2*t - 124. What are the prime factors of t? 2, 3, 13 Suppose 5*f - 3 - 22 = 5*a, -4*a - 16 = -2*f. List the prime factors of f/11 - (-7 - (-8456)/(-77)). 3, 13 Suppose -2*c - 2*b + 153 = -b, -4*b = c - 73. Let p = -112 + c. Let i = p + 59. List the prime factors of i. 2, 3 List the prime factors of 2*2/4 + (-2574)/(-6). 2, 5, 43 Suppose -l + x = -155, 0*x = 3*x + 12. List the prime factors of l. 151 Suppose -5*i + 4 = 5*g - 6, 3*i + 15 = 0. Let m = -5 + g. Suppose 3*w - 3*h - 33 = 0, 3*w - 18 = -0*h - m*h. What are the prime factors of w? 2 Let x = 86 - 14. Suppose -5*u - x = 4*u. List the prime factors of 3*-2*52/u. 3, 13 Suppose -599 = -2*a - s, -3*a + 902 = -2*s - 0*s. What are the prime factors of a? 2, 3, 5 Suppose -3*r - 3 = -0. Suppose 4*u - 3*t + 37 = 0, 5*u + t + 70 = -0*t. What are the prime factors of 4 + r - u/1? 2 Let b = 22 - 28. What are the prime factors of 81 + (0 - b)/3? 83 What are the prime factors of ((-267)/(-12))/((-1)/(-4)) + -3? 2, 43 Let c be 2 + 4/(-4 + 6). Suppose 12 = c*w - 7*w. List the prime factors of -4 - w - -3 - -10. 13 Suppose -8*b - 2104 + 6600 = 0. List the prime factors of b. 2, 281 Suppose 2*z - 8 = -0*z. Let g be 333/63 - z/14. Suppose 0 = g*q - 2*c - 115 + 22, 3*q - 31 = -5*c. List the prime factors of q. 17 Suppose t - 3*h = -0*t + 16, t + 5*h = -24. Suppose -b + 4 = t. Let x = 16 + b. List the prime factors of x. 19 Let v = -140 - -636. List the prime factors of v. 2, 31 Suppose -4*w + 3*j + 21 = -7, -28 = -4*w + 2*j. Let y = -2 + 6. Suppose y*h = 25 + w. List the prime factors of h. 2 Let w(r) = r**3 - 8*r**2 + 7*r - 4. Let y be w(7). List the prime factors of y/(-10) - 193/(-5). 3, 13 Let z be 5/((-60)/(-8))*3. Let i(r) = -r**2 - 4*r**2 + r + 6*r**z + 8 - 9*r. List the prime factors of i(9). 17 Suppose -22*w = 14*w - 12564. List the prime factors of w. 349 Suppose -5*r + 530 = w, 3*w + 9*r - 1640 = 4*r. List the prime factors of w. 3, 5, 37 Let i(y) = 2 + 3*y + 0*y + 3*y + 1. Let
{ "pile_set_name": "DM Mathematics" }
is the m'th term of -27, -22, -7, 24, 77, 158, 273, 428? m**3 - m**2 + m - 28 What is the i'th term of 139, 149, 181, 247, 359, 529, 769? 2*i**3 - i**2 - i + 139 What is the b'th term of -15, -30, -45, -60, -75? -15*b What is the g'th term of 3048, 3050, 3054, 3060, 3068, 3078, 3090? g**2 - g + 3048 What is the c'th term of 108, 218, 328, 438, 548? 110*c - 2 What is the j'th term of -3357, -3359, -3361, -3363? -2*j - 3355 What is the w'th term of 311, 627, 945, 1265? w**2 + 313*w - 3 What is the y'th term of -48, -70, -98, -132, -172, -218, -270? -3*y**2 - 13*y - 32 What is the o'th term of 42883, 42882, 42881, 42880, 42879? -o + 42884 What is the u'th term of 91, 92, 93, 94? u + 90 What is the c'th term of 96, 97, 100, 105? c**2 - 2*c + 97 What is the q'th term of -31, -163, -487, -1087, -2047? -14*q**3 - 12*q**2 + 2*q - 7 What is the j'th term of -3, -18, -51, -108, -195, -318, -483? -j**3 - 3*j**2 + j What is the o'th term of -105, -220, -343, -480, -637? -o**3 + 2*o**2 - 114*o + 8 What is the f'th term of 384, 351, 296, 219, 120? -11*f**2 + 395 What is the q'th term of -77, -148, -205, -242, -253, -232, -173, -70? q**3 + q**2 - 81*q + 2 What is the s'th term of -38, -65, -92, -119? -27*s - 11 What is the p'th term of 752, 753, 754? p + 751 What is the h'th term of 58, 77, 108, 151, 206, 273? 6*h**2 + h + 51 What is the a'th term of 316, 314, 310, 304, 296, 286? -a**2 + a + 316 What is the b'th term of -149, -567, -1263, -2237? -139*b**2 - b - 9 What is the o'th term of -454, -920, -1398, -1888, -2390, -2904? -6*o**2 - 448*o What is the x'th term of 8, 40, 130, 308, 604, 1048, 1670, 2500? 5*x**3 - x**2 + 4 What is the n'th term of -14, -9, 6, 37, 90, 171? n**3 - n**2 + n - 15 What is the a'th term of -197, -202, -211, -224, -241, -262, -287? -2*a**2 + a - 196 What is the m'th term of 1450, 2899, 4348, 5797, 7246, 8695? 1449*m + 1 What is the w'th term of 25, 53, 83, 115, 149? w**2 + 25*w - 1 What is the t'th term of -424, -424, -422, -418? t**2 - 3*t - 422 What is the g'th term of -2684, -5370, -8056? -2686*g + 2 What is the o'th term of -13, 49, 217, 545, 1087? 9*o**3 - o**2 + 2*o - 23 What is the g'th term of -4744, -4742, -4738, -4732, -4724, -4714? g**2 - g - 4744 What is the x'th term of -2147, -2144, -2153, -2180, -2231? -x**3 + 10*x - 2156 What is the o'th term of 1634, 1692, 1846, 2144, 2634, 3364? 8*o**3 + 2*o + 1624 What is the y'th term of 80, 118, 218, 410, 724, 1190, 1838, 2698? 5*y**3 + y**2 + 74 What is the g'th term of -45, -153, -339, -603, -945, -1365? -39*g**2 + 9*g - 15 What is the w'th term of -24, -45, -66, -87? -21*w - 3 What is the l'th term of 3618, 3619, 3620, 3621, 3622? l + 3617 What is the w'th term of -194, -366, -524, -668? 7*w**2 - 193*w - 8 What is the s'th term of -82, -132, -146, -106, 6, 208? 3*s**3 - 71*s - 14 What is the p'th term of 14, 57, 100, 143? 43*p - 29 What is the s'th term of -6, -71, -222, -495, -926, -1551, -2406, -3527? -6*s**3 - 7*s**2 - 2*s + 9 What is the v'th term of 9, 13, 17, 21? 4*v + 5 What is the s'th term of -7, -16, -25, -34? -9*s + 2 What is the k'th term of -28, -54, -80, -106, -132, -158? -26*k - 2 What is the c'th term of 45, 58, 71, 78, 73, 50, 3? -c**3 + 6*c**2 + 2*c + 38 What is the s'th term of 302, 312, 322, 332? 10*s + 292 What is the w'th term of -11, -53, -165, -383, -743, -1281, -2033? -6*w**3 + w**2 - 3*w - 3 What is the f'th term of -202, -205, -208, -211, -214? -3*f - 199 What is the y'th term of 114, 122, 130, 138, 146? 8*y + 106 What is the l'th term of -127, -247, -457, -763, -1171, -1687? -l**3 - 39*l**2 + 4*l - 91 What is the t'th term of -21, -34, -47, -60, -73? -13*t - 8 What is the y'th term of 61, 215, 463, 799, 1217, 1711? -y**3 + 53*y**2 + 2*y + 7 What is the v'th term of 400, 363, 328, 295, 264? v**2 - 40*v + 439 What is the q'th term of 78, 72, 66? -6*q + 84 What is the h'th term of 58, 106, 142, 160, 154, 118? -h**3 + 55*h + 4 What is the m'th term of 132, 197, 274, 363? 6*m**2 + 47*m + 79 What is the a'th term of -89, -137, -185, -233? -48*a - 41 What is the w'th term of 23884, 23886, 23888? 2*w + 23882 What is the z'th term of 71, 146, 209, 254, 275, 266, 221, 134? -z**3 + 82*z - 10 What is the w'th term of 337, 339, 343, 349, 357, 367? w**2 - w + 337 What is the f'th term of -4, -27, -90, -211, -408? -3*f**3 - 2*f**2 + 4*f - 3 What is the y'th term of 15, 43, 83, 141, 223? y**3 + 21*y - 7 What is the z'th term of -377, -380, -401, -446, -521, -632, -785? -z**3 - 3*z**2 + 13*z - 386 What is the h'th term of -61, -60, -59? h - 62 What is the s'th term of 85, 129, 173, 217, 261? 44*s + 41 What is the t'th term of -21, -132, -433, -1020, -1989, -3436? -16*t**3 + t**2 - 2*t - 4 What is the s'th term of -22, -69, -142, -253, -414? -2*s**3 - s**2 - 30*s + 11 What is the c'th term of -52, -50, -48? 2*c - 54 What is the c'th term of -161, -171, -193, -233, -297, -391? -c**3 - 3*c - 157 What is the i'th term of -110, -218, -326, -434? -108*i - 2 What is the c'th term of 12, 4, -22, -78, -176? -2*c**3 + 3*c**2 - 3*c + 14 What is the t'th term of -2, 119, 452, 1105, 2186, 3803, 6064? 18*t**3 - 2*t**2 + t - 19 What is the y'th term of -333, -675, -1017, -1359, -1701? -342*y + 9 What is the r'th term of 20, 23, 26, 29, 32? 3*r + 17 What is the l'th term of -84, -132, -172, -198, -204, -184, -132? l**3 - 2*l**2 - 49*l - 34 What is the p'th term of 0, -22, -60, -114? -8*p**2 + 2*p + 6 What is the c'th term of 1647, 1650, 1653, 1656, 1659? 3*c + 1644 What is the j'th term of -31, -71, -121, -187, -275, -391, -541? -j**3 + j**2 - 36*j + 5 What is the f'th term of -7, -20, -35, -52, -71, -92? -f**2 - 10*f + 4 What is the v'th term of 219, 438, 657, 876, 1095? 219*v What is the d'th term of 16, 16, 20, 28? 2*d**2 - 6*d + 20 What is the h'th term of -81, -159, -235, -309? h**2 - 81*h - 1 What is the s'th term of -13, -42, -93, -166, -261? -11*s**2 + 4*s - 6 What is the k'th term of -2055, -2060, -2067, -2076, -2087, -2100? -k**2 - 2*k - 2052 What is the k'th term of 630, 630, 628, 624? -k**2 + 3*k + 628 What is the g'th term of -1, -8, -29, -70, -137, -236, -373? -g**3 - g**2 + 3*g - 2 What is the r'th term of -9, -31, -63, -105, -157, -219, -291? -5*r**2 - 7*r + 3 What is the f'th term of 79, -6, -233, -674, -1401, -2486, -4001, -6018? -12*f**3 + f**2 - 4*f + 94 What is the l'th term of 26701, 26703, 26705, 26707, 26709, 26711? 2*l + 26699 What is the a'th term of 58, 56, 54, 52? -2*a + 60 What is the d'th term of -746, -751, -758, -767, -778, -791? -d**2 - 2*d - 743 What is the v'th term of 36, 30, 24, 18, 12? -6*v + 42 What is the a'th term of 48, 74, 100, 126, 152? 26*a + 22 What is the v'th term of -2011, -2020, -2041, -2080, -2143, -2236, -2365? -v**3 - 2*v - 2008 What is the f'th term of -139, -140, -143, -148, -155, -164? -f**2 + 2*f - 140 What is the j'th term of 96, 90, 82, 72, 60? -j**2 - 3*j + 100 What is the x'th term of -268, -1076, -2422, -4306? -269*x**2 - x + 2 What is the o'th term of 8805, 8803, 8801, 8799, 8797, 8795? -2*o + 8807 What is the d'th term of -158, -166, -176, -188? -d**2 - 5*d - 152 What is the h'th term of 49, 25, -19, -83, -167, -271? -10*h**2 + 6*h + 53 What is the b'th term of -6, -23, -54, -93, -134, -171, -198, -209? b**3 - 13*b**2 + 15*b - 9 What is the m'th term of 172, 201, 248, 313? 9*m**2 + 2*m + 161 What is the g'th term of 6, 58, 196, 462, 898, 1546, 2448, 3646? 7*g**3 + g**2 - 2 What is the p'th term of -12, 60, 190, 384, 648, 988, 1410, 1920? p**3 + 23*p**2 - 4*p - 32 What is the p'th term of -300, -605, -934, -1299, -1712, -2185? -2*p**3 - 291*p - 7 What is the z'th term of -33, -38, -43, -48? -5*z - 28 What is the t'th term of 29, 73, 147, 251, 385, 549, 743? 15*t**2 - t + 15 What is the f'th term of -1, 29, 101, 233, 443, 749, 1169? 3*f**3 + 3*f**2 - 7 What is the z'th term of 201, 401, 601, 801? 200*z + 1 What is the b'th term of 16, 20, 42, 94, 188, 336, 550? 2*b**3 - 3*b**2 - b + 18 What is the z'th term of 729, 652, 561, 450, 313, 144, -63? -z**3 - z**2 - 67*z + 798 What is the c'th term of 2303, 2303, 2305, 2309? c**2 - 3*c + 2305 What is the o'th term of 53, 42, 19, -22, -87, -182, -313? -o**3 - 4*o + 58 What is the v'th term of 168, 181, 194, 207, 220? 13*v + 155 What is the t'th term of 233, 464, 695, 92
{ "pile_set_name": "DM Mathematics" }
57 What is the square root of 81217829 to the nearest integer? 9012 What is 241706567 to the power of 1/4, to the nearest integer? 125 What is 142019863 to the power of 1/6, to the nearest integer? 23 What is the square root of 244169498 to the nearest integer? 15626 What is 1808737874 to the power of 1/7, to the nearest integer? 21 What is the square root of 123307791 to the nearest integer? 11104 What is 3925390354 to the power of 1/2, to the nearest integer? 62653 What is 55252671 to the power of 1/4, to the nearest integer? 86 What is the eighth root of 102678627 to the nearest integer? 10 What is the sixth root of 130046569 to the nearest integer? 23 What is the square root of 301210086 to the nearest integer? 17355 What is the seventh root of 5374256 to the nearest integer? 9 What is 1045237840 to the power of 1/2, to the nearest integer? 32330 What is the square root of 19731809 to the nearest integer? 4442 What is the square root of 1080233533 to the nearest integer? 32867 What is 24822309 to the power of 1/3, to the nearest integer? 292 What is the third root of 416491643 to the nearest integer? 747 What is 315629212 to the power of 1/2, to the nearest integer? 17766 What is the square root of 55110091 to the nearest integer? 7424 What is the cube root of 4094174865 to the nearest integer? 1600 What is the third root of 528896318 to the nearest integer? 809 What is 4925888876 to the power of 1/5, to the nearest integer? 87 What is the fourth root of 300694526 to the nearest integer? 132 What is the square root of 911873722 to the nearest integer? 30197 What is the eighth root of 62440721 to the nearest integer? 9 What is the cube root of 106891253 to the nearest integer? 475 What is the square root of 26657596 to the nearest integer? 5163 What is 108981411 to the power of 1/3, to the nearest integer? 478 What is the square root of 61535538 to the nearest integer? 7844 What is the sixth root of 157014444 to the nearest integer? 23 What is the fourth root of 479576807 to the nearest integer? 148 What is the seventh root of 1198135625 to the nearest integer? 20 What is the fourth root of 111317313 to the nearest integer? 103 What is 41695251 to the power of 1/2, to the nearest integer? 6457 What is the cube root of 346553424 to the nearest integer? 702 What is the ninth root of 394347943 to the nearest integer? 9 What is the square root of 271448898 to the nearest integer? 16476 What is 1044769691 to the power of 1/3, to the nearest integer? 1015 What is 176901838 to the power of 1/3, to the nearest integer? 561 What is 622940600 to the power of 1/5, to the nearest integer? 57 What is the ninth root of 24469442 to the nearest integer? 7 What is 6173446360 to the power of 1/2, to the nearest integer? 78571 What is 610485680 to the power of 1/8, to the nearest integer? 13 What is the square root of 207850222 to the nearest integer? 14417 What is the third root of 69778118 to the nearest integer? 412 What is 24425337 to the power of 1/2, to the nearest integer? 4942 What is 96523223 to the power of 1/7, to the nearest integer? 14 What is 172333983 to the power of 1/6, to the nearest integer? 24 What is the cube root of 860554847 to the nearest integer? 951 What is the seventh root of 368138 to the nearest integer? 6 What is the square root of 995355822 to the nearest integer? 31549 What is the third root of 79711531 to the nearest integer? 430 What is the fifth root of 31317701 to the nearest integer? 32 What is 6811190386 to the power of 1/2, to the nearest integer? 82530 What is the square root of 104499172 to the nearest integer? 10222 What is the fifth root of 170472545 to the nearest integer? 44 What is the cube root of 3200055994 to the nearest integer? 1474 What is the sixth root of 370268279 to the nearest integer? 27 What is the square root of 1445116704 to the nearest integer? 38015 What is the seventh root of 57537958 to the nearest integer? 13 What is 34137462 to the power of 1/5, to the nearest integer? 32 What is 2796357414 to the power of 1/3, to the nearest integer? 1409 What is 6859834981 to the power of 1/3, to the nearest integer? 1900 What is 42809317 to the power of 1/2, to the nearest integer? 6543 What is the square root of 421029233 to the nearest integer? 20519 What is the square root of 54008615 to the nearest integer? 7349 What is 1165918419 to the power of 1/2, to the nearest integer? 34146 What is 60729982 to the power of 1/2, to the nearest integer? 7793 What is 70250414 to the power of 1/6, to the nearest integer? 20 What is 9902573 to the power of 1/5, to the nearest integer? 25 What is 128284901 to the power of 1/3, to the nearest integer? 504 What is 108649160 to the power of 1/2, to the nearest integer? 10423 What is the cube root of 2053351828 to the nearest integer? 1271 What is the fourth root of 63906025 to the nearest integer? 89 What is the cube root of 64232339 to the nearest integer? 400 What is 1835588716 to the power of 1/6, to the nearest integer? 35 What is the ninth root of 139065749 to the nearest integer? 8 What is 874884474 to the power of 1/2, to the nearest integer? 29578 What is 389893510 to the power of 1/8, to the nearest integer? 12 What is 92423506 to the power of 1/3, to the nearest integer? 452 What is the third root of 384495407 to the nearest integer? 727 What is the fifth root of 190696748 to the nearest integer? 45 What is 1860341053 to the power of 1/9, to the nearest integer? 11 What is the cube root of 137855519 to the nearest integer? 517 What is the square root of 138206436 to the nearest integer? 11756 What is 123478887 to the power of 1/3, to the nearest integer? 498 What is 2569780614 to the power of 1/5, to the nearest integer? 76 What is 61762039 to the power of 1/9, to the nearest integer? 7 What is the third root of 617919053 to the nearest integer? 852 What is 281061281 to the power of 1/8, to the nearest integer? 11 What is the square root of 59838941 to the nearest integer? 7736 What is the fourth root of 638921500 to the nearest integer? 159 What is the square root of 2134917501 to the nearest integer? 46205 What is the fifth root of 344268858 to the nearest integer? 51 What is the third root of 69724405 to the nearest integer? 412 What is 230722980 to the power of 1/4, to the nearest integer? 123 What is 113704069 to the power of 1/9, to the nearest integer? 8 What is 131080710 to the power of 1/7, to the nearest integer? 14 What is 9028936 to the power of 1/2, to the nearest integer? 3005 What is the cube root of 337263850 to the nearest integer? 696 What is the tenth root of 426446559 to the nearest integer? 7 What is 5562309343 to the power of 1/3, to the nearest integer? 1772 What is the fourth root of 1896491202 to the nearest integer? 209 What is the square root of 124947056 to the nearest integer? 11178 What is the third root of 20648552 to the nearest integer? 274 What is the third root of 2156502342 to the nearest integer? 1292 What is 70488295 to the power of 1/6, to the nearest integer? 20 What is the third root of 6967926971 to the nearest integer? 1910 What is the third root of 44630258 to the nearest integer? 355 What is 84868943 to the power of 1/2, to the nearest integer? 9212 What is the third root of 248594822 to the nearest integer? 629 What is the sixth root of 3276411 to the nearest integer? 12 What is 331146605 to the power of 1/4, to the nearest integer? 135 What is 4859756637 to the power of 1/6, to the nearest integer? 41 What is 288383996 to the power of 1/4, to the nearest integer? 130 What is the square root of 456982612 to the nearest integer? 21377 What is 93409448 to the power of 1/10, to the nearest integer? 6 What is 194773941 to the power of 1/5, to the nearest integer? 45 What is the square root of 4721734760 to the nearest integer? 68715 What is the square root of 870566327 to the nearest integer? 29505 What is the square root of 193497772 to the nearest integer? 13910 What is 195297818 to the power of 1/3, to the nearest integer? 580 What is the square root of 292590349 to the nearest integer? 17105 What is 153653477 to the power of 1/4, to the nearest integer? 111 What is the cube root of 380609548 to the nearest integ
{ "pile_set_name": "DM Mathematics" }
closest to 0.1 in 8, 487.87, -0.5? -0.5 Which is the closest to 0.2? (a) 24 (b) 2/521 (c) -3 b Which is the nearest to 54? (a) 2/11 (b) 0.2 (c) -0.3 (d) -3 b What is the nearest to 1 in -0.02052, -1, 2, 1/5, 5? 1/5 What is the nearest to 0.1 in 3/4, -5, -13, -0.5, 68? -0.5 What is the nearest to 22 in 5, -0.4, 7320? 5 Which is the closest to -6? (a) -2 (b) 0.022 (c) 2/5 (d) 1 (e) -30 a What is the closest to 1 in -1/3, -14, 64/7? -1/3 Which is the nearest to 2/3? (a) -4 (b) -13 (c) -337 (d) -2 (e) 0.8 e What is the nearest to 1/4 in -35.1, -0.4, 2, -21? -0.4 Which is the nearest to -2? (a) 0.323 (b) 0.02 (c) -4 (d) -2 (e) 2 d Which is the closest to -23? (a) -5 (b) -3 (c) -10 c Which is the closest to -15.4? (a) -864 (b) -4/5 (c) -0.1 b Which is the nearest to -100/9? (a) -5 (b) 7 (c) 0.05 (d) 5/6 a What is the closest to 0.3 in -4, -0.3, 1/3, 116? 1/3 Which is the nearest to 22? (a) -5 (b) 33 (c) 3 b What is the nearest to 2/9 in 0.7, -11, -1/6, -2/29, -5? -2/29 Which is the closest to -0.2? (a) -3/4 (b) 0.1 (c) -1 (d) -0.1 d Which is the closest to 2? (a) -84 (b) 12 (c) 0.04 (d) 1/3 d Which is the closest to -1/4? (a) 0 (b) -0.1 (c) 15/4 (d) -33 (e) 5/2 b Which is the closest to -107676? (a) 0.3 (b) 0 (c) 2 b Which is the closest to 2/9? (a) -0.3 (b) -0.0512 (c) 192 (d) 2/9 (e) -0.4 d What is the closest to -0.01 in 0.1658, 5, -0.3? 0.1658 What is the closest to 2 in -2, 0.1, 14.888? 0.1 Which is the nearest to 1/3? (a) -0.3 (b) -0.1 (c) 1/4 (d) 50 (e) -3/2 c What is the closest to 0.02 in 11, 0, -1/2, -1/4? 0 What is the nearest to 64.3 in -25, -4, -3? -3 Which is the nearest to 2/13? (a) -0.5 (b) -99/5 (c) 10 a What is the closest to -2/3 in -3, -2, 2/401, -0.5? -0.5 What is the closest to 1 in -0.09, 2/17, -4, 199, 1/18? 2/17 What is the nearest to 3/2 in 0.04, -43/2, 0.2, -0.018, -1/5? 0.2 Which is the nearest to 0.459? (a) 0.5 (b) -4/7 (c) -0.5 (d) 2/3 a Which is the nearest to 309? (a) 3 (b) 0.13 (c) 1/4 a Which is the nearest to 0? (a) -3250 (b) -3/8 (c) -0.07 c What is the closest to -1 in -2/17, 4, -43, -4, -0.5? -0.5 Which is the nearest to 0.2? (a) 4 (b) 1/5 (c) -0.07091 b Which is the closest to -1/3? (a) 4/5 (b) 52 (c) -10.7 a What is the nearest to -0.3 in -12, -14911, 0? 0 What is the nearest to -20 in 1.14, 2, -3? -3 Which is the nearest to 12/29? (a) 5 (b) -4 (c) -64 (d) -1/5 (e) -1/4 d What is the nearest to 2/3 in 3, 4, 0.1, 7317? 0.1 Which is the closest to -4.1? (a) 3351 (b) 2 (c) 2/7 c Which is the nearest to 3/8? (a) -3 (b) 1 (c) -2 (d) 0.3 (e) 4 d What is the nearest to -4978 in -2, 0.7, -4, 2? -4 Which is the closest to -0.2? (a) 6 (b) 4.03 (c) -2/5 c What is the nearest to 89 in -17.9, 3, 5/2? 3 What is the nearest to -1/3 in 0.4, 5, -167/2, -0.039? -0.039 What is the nearest to -2/29 in -22.95, -0.1, -2? -0.1 What is the nearest to 1/3 in -1, 157/5, 13? -1 What is the nearest to -15 in 4, 1, 6.5, -4, 0.2? -4 Which is the nearest to 0? (a) -1/13 (b) 2/11 (c) -0.4 (d) -0.59 a What is the nearest to -3.51 in 1/19, -0.1, -3? -3 What is the nearest to 1/35 in -78/7, -24/7, 0? 0 What is the nearest to -1 in -1, -2226, -0.6, -2? -1 What is the nearest to 0 in -0.41, -109, 3? -0.41 What is the closest to -2 in -1/4, 1.4, 0.2, -0.1, -33? -1/4 What is the nearest to 1 in -0.4, 4, 1/13, -2/11, -1068? 1/13 What is the nearest to 85 in -168, 0.5, 3/2, 1/3? 3/2 What is the nearest to -1/12 in -5, 1/2, -1.4, 19? 1/2 Which is the nearest to 0.01? (a) 0.1 (b) 7 (c) -253 (d) -0.5 a What is the nearest to 14 in 1/3, -5, -0.5, 52, -2? 1/3 What is the closest to -0.018 in 51, -4, -0.2, 0? 0 What is the closest to 0.272 in 5, 0, -0.4, -45, 4? 0 What is the nearest to -16618 in 0.1, -0.1, 3/2, -3? -3 What is the closest to 1/3 in 2, -0.3, -209, 2/27? 2/27 What is the nearest to 3 in 5, -0.2, 452? 5 Which is the nearest to 14.08? (a) 0.4 (b) -0.1 (c) 1.9 (d) 0.3 c Which is the nearest to -2/3? (a) -21 (b) 0.3 (c) 18/5 b What is the nearest to -1.721 in 4, -3, -2/9? -3 Which is the closest to -5/4? (a) -49 (b) -0.03 (c) -2/23 c Which is the nearest to -2/3? (a) -1/5 (b) -0.04 (c) 9 (d) -5 a What is the nearest to -7 in 0.3, 2/29, -39? 2/29 Which is the closest to 0.1? (a) -0.129 (b) 3 (c) 1 (d) 2/13 d Which is the closest to -69? (a) -3 (b) 4/7 (c) 2/11 a Which is the closest to 0? (a) -23 (b) 19 (c) 1/2 c Which is the nearest to 0.9? (a) -0.4 (b) -1/3 (c) 0.4 (d) 4 c Which is the closest to 1? (a) 0.057 (b) 2/25 (c) -0.3 (d) -3 b What is the closest to -1/2 in -1.29, 4/15, 2/9? 2/9 What is the nearest to -1 in 2/11, 1/5, -4, -47/4, -0.5? -0.5 What is the closest to 1/102 in 0.1, -12, -0.05, -3/11? -0.05 What is the nearest to 0.39 in -531, 4, 6/7, -1? 6/7 What is the closest to 4/15 in 2/9, -4/5, 1/5, 244? 2/9 What is the nearest to -2/9 in 4/1137, -0.07, 0.5? -0.07 What is the nearest to -0.2 in -0.1, 1/11, 4, 242? -0.1 Which is the nearest to -0.6? (a) 0.4 (b) 11 (c) -92 (d) 2 (e) -1 e Which is the closest to -2? (a) -0.05 (b) -0.3 (c) -65 b What is the closest to 0 in -2/7, -2, 0.3, -290.12? -2/7 Which is the nearest to 1/1037? (a) 1 (b) -4/73 (c) -0.5 b What is the nearest to -153.942 in 1/8, 0.3, -4/7, 8/5? -4/7 What is the closest to -326.5 in 16/17, -0.3, -1/2? -1/2 Which is the nearest to 117? (a) 6 (b) 0 (c) 1 a Which is the nearest to 7? (a) 4/5 (b) 45 (c) -3/4 (d) 2/7 (e) -2 a Which is the nearest to 3? (a) -1 (b) 21879 (c) -3 (d) 0.4 d What is the closest to -1 in -1, -11/3, -8/3, 3? -1 What is the closest to -0.1 in -1/291, 12, 0.5, 0.4, 1/6? -1/291 What is the nearest to 1 in -1/8, -3, -3/7, -2818? -1/8 Which is the nearest to -9? (a) 2/9 (b) 17 (c) -1/7 (d) -11 d Which is the closest to -0.042? (a) 5 (b) -6 (c) -2 (d) 0 d Which is the closest to 103? (a) 5 (b) 0.2 (c) -36 a Which is the nearest to -1/4? (a) -0.2 (b) 0 (c) 0.1316 (d) -1 a Which is the nearest to 0.03? (a) 26 (b) 1/5 (c) -3 (d) 1.1 b What is the closest to 0 in 4/7, -53, 46/11? 4/7 Which is the closest to -8/27? (a) 2 (b) -32 (c) 0.2 c What is the closest to -2/19 in -0.13, 2/11, -3? -0.13 Which is the nearest to 0.06? (a) 0.3 (b) -0.13 (c) -8/9 b Which is the closest to 0? (a) 0.3 (b) -1.87 (c) -0.19 c Which is the closest to 4? (a) 75 (b) 4 (c) -1/4 (d) 0.2 b Which is the nearest to -2? (a) 1 (b) 13 (c) 2 (d) 0.1 (e) 4 d What is the nearest to 3 in -5, -0.1, 3, 21/2? 3 What is the closest to -0.04 in 5/7, 0.4, 2? 0.4 What is the nearest to -0.1 in 9/5, 2.61, 5, -1, 1/2? 1/2 Which is the nearest to 1? (a) 20/17 (b) -0.03 (c) -1/10 (d) 1 (e) 0.37 d What is the nearest to 1 in -104, -2, 1.44, 2? 1.44 What is the closest to 1/4 in -2554/11, -0.1, -5, 0? 0 Which is the closest to 12? (a) -0.06 (b) 0.5 (c) 6/109 (d) 0.08 b What is the nearest to -1/3 in -128, -111, 2/19? 2/19 Which is the nearest to 317? (a) -3 (b) 4 (c) 10 (d) -2/9 (e) 1/2 c Which is the nearest to 3? (a) 5 (b) -91 (c) -2/15 (d) 0 (e) -208 a Which is the nearest to 20? (a) 5/26 (b) 0.02 (c) -3 a What is the nearest to 5196 in 0, 2, -6? 2 Which is the closest to -0.05? (a) -1/7 (b) -0.1 (c) -0.9 (d) -1.9 b What is the nearest to 1/3 in -1, 185, 2/11, -0.1? 2/11 What is the nearest to 0.05 in -2, -1053, -5? -2 Which is the nearest to 0? (a) 2 (b) -4 (c) -685 (d) -11 a Which is the closest to -1/2? (a) -700 (b) 5 (c) 4 (d) -0.1 d Which is the closest to 1/2? (a) -0.4037 (b) 84 (c) 4 a Which is the nearest to 5? (a) -0.5 (b) 0 (c) -4 (d) 635 (e) -2/23 b What is the nearest to 0.5 in 3, 2, -32, -104, 5? 2 Which is the nearest to 2/5? (a) -0.5 (b) 1/5 (c) -0.14 (d) 2 b What is the nearest to 3 in -3.1427, 4/3, -5? 4/3 What is the nearest to -2 in -1429, 6, 4, -0.3? -0.3 What is the nearest to 3 in -11, 3, -0.05, 1/38? 3 What is the closest to -2 in -14, -4, 1480.7? -4 What is the nearest to -0.1 in -0.11, 0.3, -0.16, -1/5, -12? -0.11 Which is the closest to -1? (a) 0.02 (b) 0 (c) -2/5 (d) -10 (e) 13 c Which is the nearest to -1? (a) -5 (b) -4 (c) -0.5 (d) 2/7 (e) 1.1 c What is the closest to 0.01 in 5, -4577, 2? 2 Which is the closest to 2? (a) -10
{ "pile_set_name": "DM Mathematics" }
(-144))? -6/5 Calculate 10/5*30/2*(-3)/(-9). 10 (261/3045)/((-3)/(-15)) 3/7 Evaluate 5/2*2/4*18/30. 3/4 Calculate (2*2/8)/(528/10560). 10 What is ((-5)/3)/((4/204)/(165/(-825)))? 17 Calculate (-2)/6*103/((-18540)/(-144)). -4/15 Calculate (((-13)/(-26))/(1/1))/((-2)/(-16)). 4 Evaluate (25/700)/(14/(-224)). -4/7 20/(-20*5/40) -8 Evaluate 2*9*221/663. 6 What is -2*(6/(-4))/(15*12/(-660))? -11 What is the value of 4/((34/306)/((-1)/(-3)))? 12 Calculate 36/2184*-20*7. -30/13 490/343*(-42)/48 -5/4 What is (((-4)/7)/(-2))/(209/2926)? 4 What is (5/((-50)/(-24)))/(((-6426)/(-140))/(-51))? -8/3 Evaluate (-1)/(6/81*(-39)/(-52)). -18 What is the value of ((-2)/(-90))/(605/(-7260))? -4/15 ((-2730)/(-2002))/(18/(-33)) -5/2 Calculate -4*(-36)/(-56)*560/(-120). 12 What is (-4)/(-32)*(12/(-8))/(-3)? 1/16 3*-4*2004/5344 -9/2 Calculate (-4)/(-3)*-6*-14*48/256. 21 What is the value of 8/(-14)*(-168)/(-24)? -4 What is the value of 11/((-165)/10)*1599/82? -13 What is the value of 2/(-8)*(-6)/(-1)*(-2274)/(-379)? -9 (-3)/(36/(-513)*(-108)/48) -19 What is (14/6)/(1603/(-10992))? -16 Evaluate (-1260)/(-40)*(-6)/7. -27 (-3*(-1)/12)/(6/(-960)*-8) 5 Evaluate 8/(-38)*4085/2150. -2/5 Evaluate (-1)/20*-25*(-36)/10. -9/2 Calculate 5887/(-841)*(-5)/1. 35 What is ((-15)/1)/((4/(-12))/((-13)/(-117)))? 5 What is the value of ((-10)/(-3))/((-32)/(-48))? 5 What is ((-312)/65)/(-7*(-30)/525)? -12 What is the value of (24/18)/((-300)/(-45))? 1/5 What is ((-732)/976)/((-11)/4)? 3/11 What is (7*53/1855)/(24/10)? 1/12 (75/2)/(-5)*14/(-3920)*-14 -3/8 What is 1290/(-86)*12/60? -3 2*13*((-48)/32)/((-21)/(-7)) -13 What is -3*4/9*-12? 16 48/(-2)*428/(-856) 12 What is the value of (24/(-144))/((-1)/(-9))? -3/2 2*(-2)/(16/28)*5/(-5) 7 What is (-42)/(-420)*(-3)/(-3)? 1/10 Evaluate (-24)/(-20)*8/(-48). -1/5 Evaluate 12*(-1)/(9/(-12))*95/(-380). -4 Evaluate (78/273)/((-12)/14)*9. -3 What is the value of (2*(-2)/1)/(3584/256)? -2/7 Calculate (4/(24/(-15)))/((-8)/(-32)). -10 Calculate (6/(-12))/((-105)/(-90)). -3/7 Evaluate (-340)/(-51)*((-12)/2)/(-90). 4/9 Calculate ((-1)/(-2))/((3654/1596)/87). 19 Calculate ((-990)/264)/(63/(-24)). 10/7 Calculate ((-76)/456)/((-15)/36). 2/5 Calculate (9/945*-6)/(4*(-18)/168). 2/15 What is 12/9*(-87)/(-30566)*-17? -2/31 Evaluate 14/6*(-28)/7*(-4)/(-56). -2/3 What is the value of -4*2*9/(-10)*35/21? 12 Calculate (-6)/(-4)*2*(-221)/(-408)*-8. -13 Calculate ((-77)/11)/(-21)*0. 0 Calculate ((-7)/14)/(603/11658). -29/3 Evaluate (143/462)/(-13)*21/14*-1. 1/28 ((-1)/7)/(808/2828) -1/2 Calculate -5*(-3542)/(-253)*2/(-4). 35 (-22)/4*(-6)/45*-3 -11/5 What is the value of (-672)/252*(-3)/(-4)? -2 (-31)/((-1550)/120)*(-10)/(-78) 4/13 1*(2/(-5))/(33/(660/(-8))) 1 5/10*24/28*-7 -3 What is the value of (1/(-7))/(1692/(-470)*10/(-42))? -1/6 Calculate ((-22)/198)/(2/((-24)/14)). 2/21 What is the value of 18*(-12)/(-42)*1*2/(-6)? -12/7 Calculate ((-118)/236)/(2/(-68)). 17 Calculate ((2/40)/(10/60))/(89/6230). 21 What is the value of (-5224)/(-19590)*5/22? 2/33 Evaluate 1856/696*4/208*-6. -4/13 What is the value of (3*8/60)/(400/(-3000))? -3 Calculate (-12)/4*(1120/(-48))/(-14). -5 Evaluate (431/(-1293))/((-2)/(-18)). -3 Evaluate ((-51)/170)/((-180)/(-50)). -1/12 1/4*10*72/(-720) -1/4 Calculate 4/14*2*((-2716)/168)/(-97). 2/21 What is 45/90*((-27)/(-9))/(9/(-174))? -29 (21/(-28))/((-5)/20) 3 What is the value of (273/63)/(15/45)? 13 9/(135/80)*(-420)/(-1792)*16 20 What is the value of ((-67)/67)/(1/(-19))? 19 What is (11*12/(-1144))/(6/8)? -2/13 What is 6/(-21)*(-2604)/62? 12 What is the value of ((-7)/(1050/(-80)))/((-1)/(-5))? 8/3 Calculate 6/((48/(-64))/(-7*(-9)/(-36))). 14 Calculate (-4)/(((-1)/1)/((-16)/(160/35))). -14 Evaluate 7/(1197/(-24))*13/(416/(-24)). 2/19 Calculate ((-4)/18*-4)/(108/54). 4/9 What is ((-25)/10)/(3/(-2))*1/5? 1/3 What is ((24/(-96))/(25/20))/11? -1/55 Calculate 0/(-1)*((-12)/(-6))/((-144)/24). 0 What is 36*-9*(-1)/60*(-70)/(-21)? 18 What is (((-1288)/690)/(48/(-30)))/(1/1)? 7/6 What is ((-1)/4*(-12)/2)/((-138)/184)? -2 ((-33)/33*5)/(-2) 5/2 Calculate (88/364)/((-10)/(-130)). 22/7 0*18/(-378)*1/(-3) 0 What is (8874/(-85))/29*20/56? -9/7 Evaluate (5/(5/6))/((21/(-28))/(-1)). 8 0/((-4)/((-64)/80)) 0 (-3*5/(-45))/(((-42)/99)/(-14)) 11 4*(5*11/(-484))/(1/(-1)) 5/11 Calculate (-32*24/(-192))/(-1). -4 What is 2*5*(-3)/(-225)*1? 2/15 What is -5*((-78)/(-260))/(30/(-20))? 1 What is the value of ((750/12)/(-25))/(2/4)? -5 Evaluate ((-52)/(-390))/(24/36). 1/5 What is ((-2)/(-1))/(1170/((-1512)/(-84)))? 2/65 Calculate (-44)/(-6)*24/(-28)*224/128. -11 What is ((-50)/12*1)/((-3100)/930)? 5/4 What is the value of ((-4)/(-5))/(8/160*12/6)? 8 ((2/(-20))/(-1))/(100/250) 1/4 2/3*150/(-200)*14/21 -1/3 Evaluate 13*(-41)/((-69290)/39). 3/10 Evaluate (-57)/95*2565/57. -27 Evaluate (-304)/456*30/(-4). 5 Calculate 8/9*7767/3452. 2 What is the value of (-18)/(-10)*(-290)/(-58)? 9 What is (((-5)/2)/(-5))/(((-1100)/(-792))/25)? 9 9/((-36)/5)*(-6)/9 5/6 Calculate ((-1116)/(-651))/(3/(-42)*2). -12 (-3124)/284*2/2*(-4)/(-2) -22 (2/14)/((-260)/(-260)) 1/7 What is ((-2)/6)/((-51)/612)? 4 Evaluate ((-8)/6)/(18/162). -12 -7*42/(-1029)*1 2/7 What is the value of (-42)/75*((-2480)/(-56))/31? -4/5 Calculate 1/(-5)*925/740. -1/4 Evaluate (20*20/(-50))/((-2)/(-20)*5). -16 What is the value of -221*((-15)/255)/1? 13 What is 30/18*(-14)/140? -1/6 Evaluate ((-396)/108)/((-1)/(-3)). -11 What is 9*(-27)/54*(-26)/9? 13 4160/1664*(126/15)/1 21 920/7176*(-6)/5 -2/13 Evaluate ((-300)/(-120))/(2*2/8*-1). -5 Calculate 8/16*-2*-1*-14. -14 ((65/(-5))/39)/(((-1)/(-1))/1) -1/3 What is (4/10)/((-600)/(-36000))? 24 What is (23/(2645/69))/(18/(-20))? -2/3 Evaluate ((-48)/224)/(1215/324). -2/35 What is the value of (-248)/434*-21*(-6)/(-468)? 2/13 Evaluate (2/34)/(5640/(-9588)). -1/10 Calculate ((-72)/81)/((-98)/(-63)). -4/7 What is the value of (19*(-8)/(-1368))/((-10)/(-9))? 1/10 Evaluate (2/(-10))/(((-36)/(-24))/(78/(-52))). 1/5 Evaluate (-356)/1246*35/1*1. -10 Evaluate (4/132)/((-1)/(-9)). 3/11 Evaluate (-28)/(-28)*7/(-35). -1/5 Evaluate ((-312)/(-260))/(12/(-8)). -4/5 1/(-14)*-63*(-220)/(-90) 11 Evaluate (106/265)/(-1*2/10). -2 Calculate -11*((-1)/10)/(11/(660/24)). 11/4 (-5*(-45)/(-600))/(36/168) -7/4 (-14)/(-210)*(-320)/48 -4/9 Calculate (0/(-1))/((-12)/12)*-1. 0 What is ((85/4)/(-17)*(-12)/30)/(-8)? -1/16 (-8)/10*((-30)/27)/((-252)/(-567)) 2 Calculate (40/15)/((-45)/(-54)*2/(-10)). -16 Calculate ((-2130)/3905*(-1)/(-1))/(2*1). -3/11 What is the value of (-5)/36*-9*8? 10 What is ((-45)/70)/(-9)*24/(-2)? -6/7 ((-1)/32)/(2360/(-5664)) 3/40 What is the value of -9*(22/(-4))/(-11)*(-6)/(-36)? -3/4 1/(-2)*(-20)/(-400)*2*-16 4/5 ((-2)/8*2*1)/(9/54) -3 What is (-9)/(((24/(-6))/4)/((-4)/(-3)))? 12 What is (135/(-75))/(99/(-330))? 6 What is (600/(-1125)*6/4)/((-6)/(-5))? -2/3 What is -84*9/36*1? -21 -1*(-1)/8*-2*1664/32 -13 What is ((-105)/30*(-5)/(-35))/(81/(-6))? 1/27 What is the value of (-3)/23*((-27)/(-18))/((-48)/32)? 3/23 (98/7)/2*4/16*-4 -7 What is the value of (19/57)/(4/(-248))*(-42)/(-28)? -31 What is the value of 1*(-1)/42*(-32)/(-16)? -1/21 ((-11)/(-286)*-2*-13)/(-12) -1/12 What is the value of (-3)/2*(-1914)/(-319)? -9 Calculate 20/(1280/624)*4*(-2)/(-6). 13 -1*50/160*-1*-4*1 -5/4 Evaluate (-6*(-6)/(-72))/19*-2. 1/19 Evaluate (4/(-6)*2268/(-840))/(6/40). 12 Calculate (((-176)/8)/22)/((7/(-1))/(-273)). -39 What is the value of (272/(-672)*7)/((-2)/12)? 17 Evaluate (192/(-360))/(-4)*(-18)/8. -3/10 Evaluate 4*2/(-16)*3*(-416)/(-1040). -3/5 Calculate (-3)/(-2)*(-64)/(-128). 3/4 What is (2/4)/(51/(-34))*5? -5/3 What is ((-3)/(-1))/((-12)/(-1840)*23)? 20 (6/(-9))/(624/(-25272)) 27 What is 14*((-6)/4)/(1/(-1))? 21 Evaluate 4/(-4)*(160/(-120))/(8/(-114)). -19 (5*15/125)/((-2)/(-10)) 3 Evaluate (2*(-12)/80)/(135/180). -2/5 Calculate (400/5)/4*26/(-65). -8 What is the value of ((-19)/(1805/(-266)))/(2/5)? 7 What is 9/(-6)*(-7)/(-42)*2? -1/2 ((-375)/(-900))/(15/18) 1/2 What is the value of (-515)/(-206)*(-1)/(10/(-92))? 23 Calculate (((-64)/40)/(-8))/((-1)/8*2). -4/5 What is (-3306)/304*(-90)/435? 9/4 What is the value of ((-124)/(-465))/((-48)/(-54))? 3/10 (25/30)/((-10)/(-9))*10/(-6) -5/4 Evaluate (14/(-21))/(6/(-792)*-8). -11 ((1/11)/1)/(858/(-858)) -1/11 What is the value of (-48)/9*150/360? -20/9 Calc
{ "pile_set_name": "DM Mathematics" }
itres. 455.8313 What is 238495.8 millilitres in litres? 238.4958 Convert 66375.48 nanograms to milligrams. 0.06637548 How many nanograms are there in 5/4 of a microgram? 1250 What is 771.35ns in seconds? 0.00000077135 Convert 8.384264um to kilometers. 0.000000008384264 How many milligrams are there in 1833.276 nanograms? 0.001833276 How many micrograms are there in 3/25 of a milligram? 120 What is seventeen halves of a milligram in micrograms? 8500 How many nanometers are there in 9.730816km? 9730816000000 What is 27/4 of a millennium in decades? 675 How many micrometers are there in twenty-seven fifths of a centimeter? 54000 How many months are there in 1/30 of a decade? 4 How many minutes are there in one ninth of a day? 160 Convert 55.12564 litres to millilitres. 55125.64 What is one sixteenth of a second in microseconds? 62500 How many centuries are there in 0.8750012 years? 0.008750012 What is 5/8 of a milligram in micrograms? 625 How many years are there in 8983.653 centuries? 898365.3 How many hours are there in 2794.9572 nanoseconds? 0.000000000776377 How many tonnes are there in 0.1747651 milligrams? 0.0000000001747651 How many months are there in twenty-five halves of a decade? 1500 Convert 13.7925 nanograms to grams. 0.0000000137925 How many millilitres are there in 0.2313915l? 231.3915 How many millilitres are there in thirty-seven fifths of a litre? 7400 Convert 0.0796088t to nanograms. 79608800000000 How many minutes are there in 1/6 of a day? 240 What is 3/25 of a minute in milliseconds? 7200 How many meters are there in 7/8 of a kilometer? 875 What is 16.55151 months in decades? 0.13792925 Convert 315.5191g to kilograms. 0.3155191 What is 1/10 of a millimeter in micrometers? 100 What is 11/4 of a litre in millilitres? 2750 How many millilitres are there in 11.71805l? 11718.05 What is 9987.674ml in litres? 9.987674 How many millennia are there in 776.418 decades? 7.76418 What is 9.200471ns in microseconds? 0.009200471 How many litres are there in 0.2367889ml? 0.0002367889 How many kilograms are there in 57/2 of a tonne? 28500 How many kilograms are there in 8.098781g? 0.008098781 What is 3/50 of a century in years? 6 How many millilitres are there in 3/25 of a litre? 120 What is 41/2 of a milligram in micrograms? 20500 Convert 2692.445 milligrams to grams. 2.692445 How many centuries are there in 376.222 years? 3.76222 What is three tenths of a milligram in micrograms? 300 How many months are there in 7/3 of a century? 2800 How many centimeters are there in 891.6364m? 89163.64 What is seventeen halves of a microgram in nanograms? 8500 Convert 251056.4 millennia to decades. 25105640 What is 1/30 of a hour in minutes? 2 What is 18/5 of a litre in millilitres? 3600 What is one tenth of a milligram in micrograms? 100 How many kilograms are there in 27/5 of a tonne? 5400 What is 3/50 of a litre in millilitres? 60 How many litres are there in 657458.9ml? 657.4589 How many millilitres are there in 32/5 of a litre? 6400 How many minutes are there in twenty-one halves of a hour? 630 How many meters are there in five eighths of a kilometer? 625 Convert 3704.66ug to kilograms. 0.00000370466 What is three fifths of a century in years? 60 How many months are there in 15/4 of a year? 45 What is 56.88646 nanograms in milligrams? 0.00005688646 How many millilitres are there in fifty-three quarters of a litre? 13250 What is 0.0712188kg in grams? 71.2188 What is 109191.8kg in nanograms? 109191800000000000 Convert 58101.54 milligrams to tonnes. 0.00005810154 What is 31/5 of a milligram in micrograms? 6200 How many meters are there in fifty-three quarters of a kilometer? 13250 What is 55/4 of a kilogram in grams? 13750 Convert 63.59629 weeks to microseconds. 38463036192000 How many kilometers are there in 0.6099709m? 0.0006099709 How many micrograms are there in 7/2 of a milligram? 3500 What is 3/5 of a litre in millilitres? 600 How many micrometers are there in 5965.628m? 5965628000 How many micrometers are there in 21/5 of a millimeter? 4200 Convert 2.053773 millilitres to litres. 0.002053773 What is 733.9172 decades in months? 88070.064 What is 5/8 of a litre in millilitres? 625 How many months are there in 7/4 of a century? 2100 How many micrograms are there in 34/5 of a milligram? 6800 What is seventy-five halves of a centimeter in millimeters? 375 What is 9.587463 centuries in months? 11504.9556 What is 7.4819088us in hours? 0.000000002078308 How many micrograms are there in 64411.87 nanograms? 64.41187 How many kilograms are there in 364.2168 grams? 0.3642168 What is 8.98107m in millimeters? 8981.07 How many hours are there in 78962.64 minutes? 1316.044 How many months are there in 7/4 of a century? 2100 What is 7/8 of a litre in millilitres? 875 What is 0.451798 nanoseconds in milliseconds? 0.000000451798 How many milliseconds are there in thirteen eighths of a second? 1625 What is one twentieth of a micrometer in nanometers? 50 How many millilitres are there in 574311.9 litres? 574311900 How many micrograms are there in 4.0129ng? 0.0040129 How many months are there in 1/20 of a century? 60 Convert 8999.323l to millilitres. 8999323 What is 25/4 of a litre in millilitres? 6250 Convert 8.322539 years to centuries. 0.08322539 What is 266.6835 kilograms in nanograms? 266683500000000 How many litres are there in 5941.063 millilitres? 5.941063 How many hours are there in 6754.778 days? 162114.672 How many litres are there in 61.21307ml? 0.06121307 How many minutes are there in 8/7 of a week? 11520 What is 21/4 of a tonne in kilograms? 5250 What is seven quarters of a millennium in months? 21000 What is 86287.45mm in kilometers? 0.08628745 How many milliseconds are there in eleven tenths of a second? 1100 Convert 15816.3mg to nanograms. 15816300000 How many centimeters are there in 60.4647 meters? 6046.47 How many meters are there in 1/20 of a kilometer? 50 How many millennia are there in 0.3598708 decades? 0.003598708 How many centuries are there in 24.674769 months? 0.0205623075 How many centimeters are there in 5595.538um? 0.5595538 What is 49/4 of a kilometer in meters? 12250 How many seconds are there in 49.83269 days? 4305544.416 What is 1/10 of a micrometer in nanometers? 100 What is 0.0595325 micrometers in meters? 0.0000000595325 What is one quarter of a centimeter in micrometers? 2500 What is 41/2 of a centimeter in millimeters? 205 Convert 625044.5 millennia to months. 7500534000 Convert 8528.592ug to nanograms. 8528592 What is fourty-five quarters of a litre in millilitres? 11250 What is five eighths of a millennium in years? 625 What is 0.9028436 hours in microseconds? 3250236960 How many milligrams are there in 7/2 of a gram? 3500 What is fifteen quarters of a hour in seconds? 13500 What is 27/5 of a litre in millilitres? 5400 Convert 8856.255 kilometers to micrometers. 8856255000000 How many kilograms are there in 4614.325 nanograms? 0.000000004614325 Convert 814.7572ml to litres. 0.8147572 What is 0.1481914nm in millimeters? 0.0000001481914 How many nanograms are there in twenty-seven quarters of a microgram? 6750 What is 6/5 of a hour in minutes? 72 How many grams are there in 159.3093ug? 0.0001593093 What is 828.1308 millilitres in litres? 0.8281308 What is 9279.332 days in seconds? 801734284.8 What is 17/2 of a kilogram in grams? 8500 What is 83.90828ug in nanograms? 83908.28 How many grams are there in three fifths of a kilogram? 600 Convert 2555.707 years to months. 30668.484 How many milligrams are there in seven halves of a gram? 3500 How many grams are there in 3/8 of a kilogram? 375 How many millilitres are there in three fifths of a litre? 600 How many nanoseconds are there in 840.8607 milliseconds? 840860700 What is 31/5 of a kilogram in grams? 6200 How many kilograms are there in 11/8 of a tonne? 1375 What is twenty-six fifths of a millennium in centuries? 52 What is 6/25 of a litre in millilitres? 240 How many millilitres are there in 7/4 of a litre? 1750 What is 1/20 of a litre in millilitres? 50 How many millilitres are there in 53/5 of a litre? 10600 What is seven quarters of a year in months? 21 How many millilitres are there in 25/2 of a litre? 12500 Convert 300.6241 years to months. 3607.4892 How many litres
{ "pile_set_name": "DM Mathematics" }
4/9*n**3 - 2/9 - 2/3*n**u + 8/9*n**2 = 0? -1, -1/3, 1 Let j(w) be the third derivative of -w**11/166320 + w**9/30240 + w**5/60 + 2*w**2. Let p(r) be the third derivative of j(r). Determine t, given that p(t) = 0. -1, 0, 1 Factor -1/8*a**2 + 1/8*a + 1/4. -(a - 2)*(a + 1)/8 Let x(t) = -t**3 - t**2 + 2*t. Let d(l) = 60*l**3 - 56*l**2 - 32*l. Let o(j) = -d(j) - 24*x(j). Suppose o(w) = 0. What is w? 0, 2/9, 2 Let n(t) = t + 4. Let v be n(0). Let u(h) be the third derivative of -1/180*h**5 + 0*h**v - 2*h**2 + 0 + 0*h + 1/18*h**3. Determine s so that u(s) = 0. -1, 1 Let v(f) be the first derivative of -f**6/60 + f**5/10 - f**4/4 + f**3/3 - f**2/4 - f + 2. Let z(o) be the first derivative of v(o). Let z(q) = 0. Calculate q. 1 Factor 0*a + 0 - 1/3*a**3 - 1/3*a**4 + 0*a**2. -a**3*(a + 1)/3 Let v = 1318 - 1318. Determine s, given that -48/7*s**4 - 32/7*s**5 - 2/7*s**3 + v - 2/7*s + 12/7*s**2 = 0. -1, 0, 1/4 Determine k so that -5*k**5 - 6*k**5 - k**4 + 10*k**5 = 0. -1, 0 Suppose -25 = -2*u - 3. Let x = u - 6. Let d(j) = j**2 - 2*j - 3. Let s(w) = -2*w**2 + 5*w + 7. Let c(l) = x*d(l) + 2*s(l). Let c(o) = 0. What is o? -1, 1 What is t in -14*t**2 - 20*t - 5*t**3 - 3*t**2 - 5*t**2 + 2*t**2 = 0? -2, 0 Suppose 0 = r - 1 - 1. Find d such that -4*d + 3*d + 5*d**r - 2*d**2 = 0. 0, 1/3 Let r(p) be the second derivative of -p**6/210 + p**5/35 - p**4/14 + 2*p**3/21 - p**2/14 + 2*p. Determine z so that r(z) = 0. 1 Let z = 41 + -18. Suppose 4*m + 2*x = -3*x + z, 3*m - 2*x = 0. Suppose 8/9*j - 2/3*j**3 + 8/9*j**m + 0 = 0. What is j? -2/3, 0, 2 Let m(f) = f + 2. Let l be m(2). Let q(x) = 3*x + 0*x + 3*x - l*x**2. Let a(y) = -1. Let g(s) = 4*a(s) - q(s). Factor g(p). 2*(p - 2)*(2*p + 1) Let b(f) be the third derivative of -f**8/504 + 4*f**7/945 - f**6/540 - 6*f**2. Factor b(q). -2*q**3*(q - 1)*(3*q - 1)/9 Let j = 11 - 8. Let y be (-25)/(-60) - j/12. What is w in 1/6 + 1/3*w + y*w**2 = 0? -1 Let -76/3*n**2 - 52/9*n**3 - 200/9 - 4/9*n**4 - 380/9*n = 0. What is n? -5, -2, -1 Let r(k) be the first derivative of 2/9*k**3 + 1 - 1/3*k + 1/6*k**2. Factor r(l). (l + 1)*(2*l - 1)/3 Suppose 3*l + 2*r - 6 = 0, r + 2*r + 17 = 2*l. Let f(j) be the second derivative of 0*j**2 - 1/12*j**l + 0 + 1/6*j**3 + 3*j. Factor f(c). -c*(c - 1) Factor 4/3*g**4 - 8/3*g**3 + 8/3*g + 0 - 4/3*g**2. 4*g*(g - 2)*(g - 1)*(g + 1)/3 Let x(j) = 3*j**3 + 11*j**2 + 8*j + 2. Let q(k) = 3*k**3 + 12*k**2 + 9*k + 3. Suppose -f - 2 = -2*f. Let b(a) = f*q(a) - 3*x(a). Factor b(d). -3*d*(d + 1)*(d + 2) Let y = 23 + -17. Let f(n) be the third derivative of 2*n**2 + 2/75*n**5 + 0*n + 1/60*n**4 + 0 + 0*n**3 + 1/100*n**y. Factor f(p). 2*p*(p + 1)*(3*p + 1)/5 Let x(a) be the second derivative of a + 0*a**2 + 0*a**3 + 1/12*a**4 + 0. Find w such that x(w) = 0. 0 Let a be (2/(-6))/(1/(-9)). Let s(k) be the third derivative of a*k**2 - 1/24*k**6 - 1/30*k**5 + 5/24*k**4 + 0 + 1/3*k**3 + 0*k. Suppose s(j) = 0. Calculate j. -1, -2/5, 1 Let c = 1/51 - -31/153. Solve -4/9*b**2 + c*b - 2/9*b**3 + 4/9 = 0. -2, -1, 1 Let h(z) be the second derivative of -z**7/70 - 3*z**6/20 - 9*z**5/20 + z**2 - 10*z. Let v(n) be the first derivative of h(n). Factor v(u). -3*u**2*(u + 3)**2 Let n(r) be the first derivative of -r**3/6 + 2*r + 8. Suppose n(b) = 0. What is b? -2, 2 What is i in 2*i + 344*i**2 - 339*i**2 + 8*i = 0? -2, 0 Let n be 2/9 + 68/18. Let 27 + n*k + 2*k**2 + 4*k**2 - 22*k - 3*k**2 = 0. Calculate k. 3 Let b be ((-10)/6)/((-1)/3). Suppose -4*s = -o - 7, -o = -b*o + 2*s. Factor -1 + o - h**2 - h**2 - 2*h. -2*h*(h + 1) Let p(i) be the second derivative of 4*i**6/5 + 7*i**5/5 + 2*i**4/3 - 10*i. Factor p(k). 4*k**2*(2*k + 1)*(3*k + 2) Factor 657*o**3 + o**2 - 5*o**5 + 10 - 637*o**3 - 11*o**2 - 15*o. -5*(o - 1)**3*(o + 1)*(o + 2) Find x, given that 117/4*x**2 + 6591/4 - 3/4*x**3 - 1521/4*x = 0. 13 Factor 0 - 3/7*b**2 - 3/7*b. -3*b*(b + 1)/7 Let f(q) be the first derivative of 9/10*q**2 + 3/5*q - 6 + 3/5*q**3 + 3/20*q**4. Suppose f(p) = 0. Calculate p. -1 Let w(b) = b**3 + b**2 + 1. Let c(s) = -3*s**3 + 52*s**2 - 160*s + 162. Let z(j) = -c(j) + 2*w(j). Solve z(y) = 0 for y. 2, 4 Let k = -2/43 + 92/129. Find g, given that 2/3*g**2 + 2/3*g - k*g**3 - 2/3 = 0. -1, 1 Suppose -4*z = -3 - 13. Suppose 1 = g + z*y - 15, 4*y - 16 = -3*g. Solve -r**3 + 3*r**3 + g*r - 2*r = 0 for r. -1, 0, 1 Suppose 7*l - 6*l = 4. Let n(t) be the first derivative of 0*t**2 - 1/10*t**5 + 1 - 1/4*t**l - 1/6*t**3 + 0*t. Factor n(k). -k**2*(k + 1)**2/2 Suppose 2*p + 4 = 20. Factor x**5 + 0*x**5 + 12*x**3 + 13*x**4 - 5*x**4 + 2*x + p*x**2 + x**5. 2*x*(x + 1)**4 Let i = 33 + -31. Factor 1/4*a**4 + 0*a - 1/4*a**3 + 0 + 1/4*a**5 - 1/4*a**i. a**2*(a - 1)*(a + 1)**2/4 Factor -8*c**3 - 4*c**3 + 0*c**2 + 5*c**2 + 4*c**4 + 3*c**2. 4*c**2*(c - 2)*(c - 1) Let d(i) be the second derivative of 0*i**2 + 0 - 1/84*i**4 + 2*i - 1/210*i**5 - 1/1260*i**6 - 1/6*i**3. Let j(x) be the second derivative of d(x). Factor j(h). -2*(h + 1)**2/7 Let l(f) be the third derivative of -3/8*f**4 + 0*f - f**3 + 4*f**2 - 1/20*f**5 + 0. Factor l(d). -3*(d + 1)*(d + 2) Let k(n) = -5*n**2 + 2*n + 7*n**3 - n**2 - 9*n. Let j(l) = -6*l**3 + 5*l**2 + 6*l. Let x(z) = -6*j(z) - 5*k(z). What is a in x(a) = 0? -1, 0, 1 Let l(s) be the third derivative of 0*s**5 - 1/42*s**4 + 0*s + 1/735*s**7 - 1/21*s**3 + 0 - 3*s**2 + 1/210*s**6. Find g such that l(g) = 0. -1, 1 Factor 4/3*s + 1/6 - 1/6*s**2 - 4/3*s**3. -(s - 1)*(s + 1)*(8*s + 1)/6 Let y(o) be the second derivative of 3*o + 21/10*o**5 + 2/3*o**3 + 5/21*o**7 + 0*o**2 + 17/15*o**6 + 11/6*o**4 + 0. Let y(x) = 0. What is x? -1, -2/5, 0 Let t(y) be the first derivative of 1/9*y**3 + 1/9*y**4 + 0*y**2 + 1 + 1/30*y**5 - y. Let x(i) be the first derivative of t(i). Factor x(o). 2*o*(o + 1)**2/3 Factor 3*m**2 + 5*m**5 - 3*m**4 + 3*m**3 + 0*m**3 - 2*m**5 - 6*m**3. 3*m**2*(m - 1)**2*(m + 1) Let u(t) = t**3 - 2*t**2 - 9*t - 1. Let o be u(4). Let d be (1/14)/(o/(-60)). Factor -d*c - 2/7*c**2 - 4/7. -2*(c + 1)*(c + 2)/7 Suppose 0*k = -k. Let v = 3 - 0. Factor k*f - 2/5*f**2 + 0 + 0*f**v + 2/5*f**4. 2*f**2*(f - 1)*(f + 1)/5 Solve 3/2 - 1/2*y**2 + y = 0 for y. -1, 3 Let v(b) be the second derivative of -5*b**5/4 - 65*b**4/12 - 10*b**3/3 + 10*b**2 + 3*b. Suppose v(o) = 0. Calculate o. -2, -1, 2/5 Let u(z) be the first derivative of 1/4*z**3 + 0*z + 4 - 1/16*z**4 - 1/4*z**2. Determine i, given that u(i) = 0. 0, 1, 2 Factor 50*z**5 - 16*z**4 - 2 - 8*z**2 + 20*z**3 + 2 - 46*z**5. 4*z**2*(z - 2)*(z - 1)**2 Let i(d) be the first derivative of -d**8/6720 + d**6/1440 - d**3/3 + 4. Let j(p) be the third derivative of i(p). Factor j(b). -b**2*(b - 1)*(b + 1)/4 Let z(x) be the first derivative of 2/5*x**5 - 1/6*x**6 + 1/2*x**4 - 2*x + 7/2*x**2 + 6 - 8/3*x**3. Factor z(p). -(p - 1)**4*(p + 2) Let h = 2 + -4. Let p(v) = -6*v. Let k(d) = 25*d + d**2 + 11 + 0*d**2 - 11. Let s(r) = h*k(r) - 9*p(r). Factor s(n). -2*n*(n - 2) Suppose -v + 8 = 6. Let r(z) be the third derivative of 0*z + 1/96*z**4 + 1/840*z**7 - 1/480*z**6 + 0 - 1/240*z**5 + v*z**2 + 0*z**3. Factor r(n). n*(n - 1)**2*(n + 1)/4 Solve -4*v**3 - 14 + 7*v**3 + v**4 + 4*v + 6 - 8*v**3 + 6*v**2 = 0. -1, 2 Let y(w) be the third derivative of -w**6/600 + w**4/120 - 2*w**2. Factor y(d). -d*(d - 1)*(d + 1)/5 Let s(q) = 11*q**4 + 10*q**3 + 5*q**2 - 6*q + 6. Let y(c) = 12*c**4 + 10*c**3 + 5*c**2 - 7*c + 7. Let w(h) = -7*s(h) + 6*y(h). Suppose w(r) = 0. What is r? -1, 0 Let f be (-4)/14 + 2216/(-84). Let u = f + 27. Factor 0 - 1/3*l - u*l**3 - 2/3*l**2. -l*(l + 1)**2/3 Let z(n) = 9*n**4 - 6*n**3 + 3*n**2 + 3*n + 3. Let o(q) = q**5 + 18*q**4 - 11*q**3 + 6*q**2 + 7*q + 7. Let s(i) = 3*o(i) - 7*z(i). Solve s(r) = 0 for r. 0, 1 Suppose -25 = -5*s - 5. Let f(z) be the first derivative of 1/12*z**s + 0*z - 1/6*z**2 - 1/9*z**3 + 2 + 1/15*z**5. Factor f(c). c*(c - 1)*(c + 1)**2/3 Let f be 30/45 + (-62)/3. Let g = 101/5 + f. Factor g*k + 0 - 1/5*k**2. -k*(k - 1)/5 Solve 0*d**2 + 0*d**4 + 2/9*d**5 - 4/9*d**3 + 2/9*d + 0 = 0. -1, 0, 1 Suppose 1531 = 7*q + 1517. Determine k, given that k**q + 1/2*k**3 + 1/2*k + 0 = 0. -1, 0 Let b(h) be the third derivative of 0 + 0*h**5 - 1/6*h**3 + 1/60*h**6 + 0*h - 3*h**2 + 1/210*h**7 - 1/12*h**4. Factor b(a). (a - 1)*(a + 1)**3 Let j(z) = z**3 - 10*z**2 + z - 5. Let p be j(10). Suppose 0 = p*l + 2 - 22. Factor -2/
{ "pile_set_name": "DM Mathematics" }
mmon multiple of 14 and 1202. 8414 What is the lowest common multiple of 12 and 15484? 46452 Calculate the common denominator of -55/26 and -55/36. 468 What is the common denominator of 41/45 and 71/27? 135 What is the common denominator of 21/688 and -19/16? 688 Calculate the common denominator of 11/135 and 163/90. 270 Find the common denominator of -95/122 and -79/4. 244 What is the common denominator of 109/2980 and -107/5662? 56620 Find the common denominator of 95/64 and -23/40. 320 Calculate the lowest common multiple of 2968 and 742. 2968 Find the common denominator of 131/24 and 27/176. 528 What is the least common multiple of 57 and 3? 57 What is the lowest common multiple of 20 and 9868? 49340 Find the common denominator of -139/108 and 5/948. 8532 What is the common denominator of 109/1338 and -89/12? 2676 Find the common denominator of -99/3892 and -13/112. 15568 What is the common denominator of -26/15 and -71/1803? 9015 What is the common denominator of -169/420 and -181/540? 3780 Find the common denominator of 55/26 and 89/272. 3536 What is the smallest common multiple of 870 and 4495? 26970 Calculate the common denominator of -17/3 and -139/276. 276 What is the common denominator of 42/545 and -39/218? 1090 Find the common denominator of -26/27 and -17/390. 3510 Find the common denominator of 75/68 and 77/16. 272 Calculate the least common multiple of 45 and 200. 1800 What is the smallest common multiple of 2828 and 35? 14140 What is the lowest common multiple of 4351 and 114? 26106 What is the least common multiple of 1169 and 70? 11690 What is the common denominator of 40/21 and -85/63? 63 Calculate the common denominator of 14/95 and -89/76. 380 Find the common denominator of -10/2277 and -131/12. 9108 Calculate the common denominator of 11/372 and 1/496. 1488 What is the lowest common multiple of 176 and 880? 880 Calculate the smallest common multiple of 21 and 77. 231 Calculate the smallest common multiple of 984 and 72. 2952 Calculate the least common multiple of 378 and 63. 378 What is the least common multiple of 16 and 12? 48 What is the lowest common multiple of 2055 and 50? 20550 Calculate the common denominator of -23/183 and -55/18. 1098 Find the common denominator of -79/270 and 131/30. 270 Calculate the common denominator of -149/48 and -61/14. 336 Find the common denominator of 13/4794 and 139/846. 14382 Calculate the lowest common multiple of 387 and 174. 22446 What is the common denominator of -31/137 and 64/3? 411 What is the lowest common multiple of 2552 and 522? 22968 Calculate the least common multiple of 198 and 66. 198 Calculate the smallest common multiple of 54 and 8. 216 Calculate the common denominator of -47/995 and 35. 995 What is the smallest common multiple of 15 and 72? 360 Calculate the least common multiple of 210 and 390. 2730 What is the lowest common multiple of 49 and 49? 49 Calculate the common denominator of -20/27 and -86/45. 135 Find the common denominator of -74/141 and -43/30. 1410 Find the common denominator of 137/2802 and -23/14. 19614 Calculate the lowest common multiple of 117 and 78. 234 What is the smallest common multiple of 9 and 2355? 7065 What is the smallest common multiple of 88 and 72? 792 Find the common denominator of -31/16 and 7/48. 48 What is the common denominator of 49/4 and -103/40? 40 Calculate the least common multiple of 3024 and 336. 3024 Find the common denominator of 145/6 and -58/31605. 63210 What is the least common multiple of 420 and 84? 420 What is the smallest common multiple of 84 and 280? 840 Calculate the smallest common multiple of 120 and 42. 840 What is the lowest common multiple of 33 and 6? 66 What is the smallest common multiple of 64 and 320? 320 Find the common denominator of 46/1275 and -111/50. 2550 What is the common denominator of 59/1120 and -61/52? 14560 Calculate the lowest common multiple of 8 and 226. 904 Find the common denominator of 169/210 and -39/10. 210 Calculate the common denominator of -161/480 and 7/96. 480 What is the least common multiple of 28 and 44? 308 What is the least common multiple of 1076 and 16? 4304 Calculate the lowest common multiple of 5 and 40445. 40445 Calculate the smallest common multiple of 237 and 395. 1185 What is the lowest common multiple of 20 and 8? 40 What is the common denominator of 83/63 and -31/3871? 34839 Calculate the smallest common multiple of 9 and 3108. 9324 What is the smallest common multiple of 88 and 132? 264 Find the common denominator of 55/7 and 83/1040. 7280 Calculate the common denominator of -61/12 and -131/162. 324 Calculate the lowest common multiple of 88 and 48. 528 What is the common denominator of 89/940 and 137/120? 5640 What is the lowest common multiple of 77 and 693? 693 What is the least common multiple of 20 and 220? 220 Calculate the least common multiple of 300 and 60. 300 Calculate the common denominator of 59/28 and 23/36. 252 What is the common denominator of -149/444 and -119/10? 2220 Calculate the least common multiple of 390 and 39. 390 Calculate the least common multiple of 4 and 132. 132 Find the common denominator of 23/148 and -143/36. 1332 What is the common denominator of 89/70 and 69/70? 70 Find the common denominator of -97/14 and -125/2094. 14658 What is the common denominator of 43/192 and -145/252? 4032 Calculate the least common multiple of 12 and 1156. 3468 Calculate the lowest common multiple of 672 and 20. 3360 What is the common denominator of 7/282 and -49/12? 564 Calculate the common denominator of 157/264 and -11/24. 264 What is the common denominator of -39/560 and 3/616? 6160 What is the common denominator of 2/1755 and -74/135? 1755 Find the common denominator of -27/52 and -25/39. 156 What is the lowest common multiple of 112 and 380? 10640 Calculate the common denominator of -40/33 and 127/114. 1254 What is the common denominator of -179/270 and -40/81? 810 Calculate the smallest common multiple of 428 and 2033. 8132 Calculate the lowest common multiple of 30 and 12. 60 Calculate the common denominator of -33/20 and 107/18. 180 What is the least common multiple of 71 and 923? 923 What is the smallest common multiple of 627 and 1? 627 Calculate the common denominator of -64/165 and 77/60. 660 Calculate the least common multiple of 6 and 6128. 18384 What is the common denominator of -149/42 and 44/3? 42 What is the smallest common multiple of 155 and 11? 1705 What is the common denominator of -59/55 and -41/10950? 120450 Calculate the smallest common multiple of 18 and 1. 18 Calculate the least common multiple of 3865 and 75. 57975 Calculate the smallest common multiple of 969 and 30. 9690 Calculate the smallest common multiple of 648 and 12. 648 What is the least common multiple of 11451 and 3817? 11451 Calculate the smallest common multiple of 406 and 98. 2842 What is the common denominator of -51/35 and -62/65? 455 Calculate the common denominator of -79/950 and 7/190. 950 Calculate the common denominator of -137/270 and 1/12090. 108810 What is the lowest common multiple of 6148 and 5? 30740 Calculate the common denominator of 89/32 and -149/648. 2592 Calculate the common denominator of -97/180 and 121/846. 8460 Calculate the common denominator of -5/44 and 20/33. 132 What is the common denominator of -67/3030 and 19/3030? 3030 Find the common denominator of 41/36 and 143/3258. 6516 What is the least common multiple of 30 and 4383? 43830 Calculate the least common multiple of 18 and 150. 450 What is the smallest common multiple of 354 and 8? 1416 Calculate the common denominator of -50/9 and -47/180. 180 Calculate the smallest common multiple of 281 and 4. 1124 Calculate the lowest common multiple of 22 and 19406. 213466 What is the smallest common multiple of 89 and 132? 11748 What is the common denominator of -157/78 and 91/18? 234 What is the least common multiple of 27 and 96? 864 What is the least common multiple of 50 and 100? 100 Calculate the common denominator of 1/38 and -51/22. 418 Calculate the common denominator of -39/40 and -63/2204. 22040 What is the common denominator of 37/98 and -87/14? 98 What is the lowest common multiple of 3834 and 1917? 3834 What is the common denominator of -19/55 and -94/1365? 150
{ "pile_set_name": "DM Mathematics" }
many minutes are there between 8:37 PM and 7:29 AM? 652 What is 136 minutes after 8:58 AM? 11:14 AM What is 662 minutes after 6:15 AM? 5:17 PM What is 184 minutes after 10:08 AM? 1:12 PM How many minutes are there between 9:30 PM and 5:38 AM? 488 What is 59 minutes before 1:42 PM? 12:43 PM What is 121 minutes before 5:26 AM? 3:25 AM What is 158 minutes before 3:39 PM? 1:01 PM What is 51 minutes before 12:23 PM? 11:32 AM What is 573 minutes before 2:42 AM? 5:09 PM How many minutes are there between 6:43 AM and 8:50 AM? 127 How many minutes are there between 7:37 AM and 1:44 PM? 367 How many minutes are there between 12:44 AM and 6:07 AM? 323 What is 474 minutes after 4:19 AM? 12:13 PM What is 688 minutes before 1:18 AM? 1:50 PM What is 400 minutes after 2:48 PM? 9:28 PM What is 689 minutes before 11:24 PM? 11:55 AM What is 443 minutes before 10:02 PM? 2:39 PM How many minutes are there between 2:00 AM and 10:13 AM? 493 What is 693 minutes after 3:41 AM? 3:14 PM How many minutes are there between 8:53 PM and 12:15 AM? 202 How many minutes are there between 12:14 PM and 10:13 PM? 599 How many minutes are there between 11:28 PM and 4:56 AM? 328 How many minutes are there between 6:40 AM and 7:36 AM? 56 What is 194 minutes before 6:02 PM? 2:48 PM How many minutes are there between 2:04 PM and 4:54 PM? 170 What is 710 minutes after 2:33 PM? 2:23 AM How many minutes are there between 10:03 PM and 10:59 PM? 56 How many minutes are there between 9:06 AM and 3:37 PM? 391 How many minutes are there between 2:05 AM and 8:12 AM? 367 What is 318 minutes before 2:33 AM? 9:15 PM How many minutes are there between 3:45 PM and 1:29 AM? 584 What is 367 minutes after 11:22 AM? 5:29 PM How many minutes are there between 11:03 AM and 2:08 PM? 185 How many minutes are there between 2:59 AM and 10:00 AM? 421 What is 687 minutes after 3:15 AM? 2:42 PM How many minutes are there between 2:13 AM and 12:00 PM? 587 How many minutes are there between 2:46 AM and 2:01 PM? 675 How many minutes are there between 7:50 AM and 7:45 PM? 715 How many minutes are there between 4:25 PM and 10:25 PM? 360 What is 344 minutes after 1:08 AM? 6:52 AM How many minutes are there between 3:25 AM and 6:10 AM? 165 How many minutes are there between 11:12 PM and 12:11 AM? 59 What is 538 minutes before 11:26 AM? 2:28 AM What is 691 minutes after 7:15 PM? 6:46 AM What is 6 minutes before 1:49 PM? 1:43 PM How many minutes are there between 11:22 PM and 4:08 AM? 286 How many minutes are there between 10:40 AM and 8:16 PM? 576 What is 59 minutes after 11:25 AM? 12:24 PM How many minutes are there between 4:14 PM and 9:51 PM? 337 How many minutes are there between 5:43 AM and 2:08 PM? 505 How many minutes are there between 10:36 AM and 10:07 PM? 691 What is 170 minutes before 3:07 PM? 12:17 PM How many minutes are there between 5:57 PM and 1:50 AM? 473 What is 591 minutes after 10:13 AM? 8:04 PM What is 36 minutes after 11:29 AM? 12:05 PM How many minutes are there between 7:38 AM and 4:28 PM? 530 What is 25 minutes after 7:22 AM? 7:47 AM How many minutes are there between 1:34 AM and 12:02 PM? 628 What is 130 minutes before 8:21 PM? 6:11 PM How many minutes are there between 10:51 AM and 2:46 PM? 235 How many minutes are there between 3:49 AM and 3:20 PM? 691 What is 402 minutes before 8:56 AM? 2:14 AM What is 612 minutes after 6:29 PM? 4:41 AM What is 496 minutes before 11:18 AM? 3:02 AM What is 576 minutes after 8:13 AM? 5:49 PM How many minutes are there between 9:56 PM and 1:56 AM? 240 What is 398 minutes after 12:07 PM? 6:45 PM What is 474 minutes before 3:14 AM? 7:20 PM How many minutes are there between 6:30 AM and 2:53 PM? 503 What is 39 minutes before 10:10 PM? 9:31 PM What is 173 minutes after 4:08 AM? 7:01 AM What is 302 minutes after 12:19 PM? 5:21 PM How many minutes are there between 3:35 PM and 11:58 PM? 503 What is 14 minutes before 1:16 PM? 1:02 PM How many minutes are there between 12:10 AM and 3:05 AM? 175 What is 663 minutes after 10:41 AM? 9:44 PM How many minutes are there between 1:53 AM and 5:56 AM? 243 How many minutes are there between 1:29 PM and 8:54 PM? 445 What is 480 minutes after 10:51 PM? 6:51 AM What is 454 minutes after 2:39 AM? 10:13 AM What is 430 minutes after 11:40 AM? 6:50 PM What is 207 minutes after 7:26 AM? 10:53 AM How many minutes are there between 3:43 PM and 1:54 AM? 611 What is 253 minutes after 2:05 AM? 6:18 AM How many minutes are there between 6:56 PM and 7:56 PM? 60 How many minutes are there between 3:57 AM and 10:37 AM? 400 How many minutes are there between 4:11 AM and 6:49 AM? 158 What is 165 minutes before 2:56 AM? 12:11 AM What is 25 minutes after 7:17 AM? 7:42 AM What is 508 minutes after 2:39 PM? 11:07 PM What is 337 minutes after 6:07 AM? 11:44 AM What is 155 minutes before 5:14 AM? 2:39 AM How many minutes are there between 10:25 PM and 4:10 AM? 345 How many minutes are there between 2:22 AM and 5:12 AM? 170 What is 679 minutes before 11:14 AM? 11:55 PM How many minutes are there between 3:09 PM and 11:49 PM? 520 What is 235 minutes after 8:10 AM? 12:05 PM What is 502 minutes after 7:04 AM? 3:26 PM What is 414 minutes before 6:59 PM? 12:05 PM What is 530 minutes before 11:12 PM? 2:22 PM What is 251 minutes after 5:18 AM? 9:29 AM How many minutes are there between 3:12 AM and 7:23 AM? 251 How many minutes are there between 3:11 PM and 10:36 PM? 445 What is 123 minutes after 8:43 PM? 10:46 PM How many minutes are there between 3:43 PM and 10:53 PM? 430 How many minutes are there between 8:32 AM and 8:59 AM? 27 What is 354 minutes after 6:33 PM? 12:27 AM How many minutes are there between 11:23 AM and 6:03 PM? 400 How many minutes are there between 10:55 PM and 1:20 AM? 145 How many minutes are there between 6:06 PM and 10:04 PM? 238 What is 420 minutes after 9:28 AM? 4:28 PM How many minutes are there between 5:56 PM and 7:38 PM? 102 What is 715 minutes after 3:22 PM? 3:17 AM How many minutes are there between 7:49 AM and 10:53 AM? 184 What is 313 minutes before 7:52 PM? 2:39 PM What is 508 minutes after 11:35 PM? 8:03 AM What is 617 minutes before 9:31 AM? 11:14 PM How many minutes are there between 6:44 PM and 5:27 AM? 643 What is 317 minutes after 2:16 PM? 7:33 PM What is 253 minutes before 12:39 AM? 8:26 PM What is 231 minutes after 12:29 PM? 4:20 PM What is 607 minutes before 10:09 AM? 12:02 AM What is 570 minutes before 10:13 PM? 12:43 PM What is 543 minutes after 5:53 PM? 2:56 AM How many minutes are there between 4:29 AM and 5:22 AM? 53 How many minutes are there between 5:23 AM and 2:47 PM? 564 What is 33 minutes before 11:05 AM? 10:32 AM What is 243 minutes before 6:37 AM? 2:34 AM How many minutes are there between 7:37 PM and 3:49 AM? 492 How many minutes are there between 10:28 PM and 6:38 AM? 490 How many minutes are there between 4:01 PM and 10:15 PM? 374 What is 115 minutes before 3:13 PM? 1:18 PM How many minutes are there between 10:43 PM and 2:05 AM? 202 How many minutes are there between 2:32 AM and 2:19 PM? 707 How many minutes are there between 6:50 AM and 12:13 PM? 323 What is 535 minutes before 8:27 PM? 11:32 AM How many minutes are there between 1:04 PM and 2:20 PM? 76 What is 430 minutes before 11:20 AM? 4:10 AM How many minutes are there between 5:09 PM and 1:22 AM? 493 How many minutes are there between 6:53 PM and 12:03 AM? 310 What is 609 minutes before 3:14 PM? 5:05 AM How many minutes are there between 9:44 PM and 6:11 AM? 507 How many minutes are there between 9:56 PM and 2:47 AM? 291 How many minutes are there between 3:59 AM and 2:27 PM? 628 How many minutes are there between 11:10 PM and 12:02 AM? 52 How many minutes are there between 10:26 AM and 8:10 PM? 584 What is 56 minutes before 10:37 AM? 9:41 AM How many minutes are there between 3:33 AM and 3:37 AM? 4 What is 430 minutes after 10:12 AM? 5:22 PM How many minutes are there between 3:05 PM and 1:23 AM? 618 What is 472 minutes before 6:58 PM? 11:06 AM What is 194 minutes before 10:37 PM? 7:23 PM What is 459 minutes after 2:42 AM? 10:21 AM How many minutes are there between 12:33 AM and 5:56 AM? 323 How many minutes are there between 9:30 PM and 12:54 AM? 204 What is 322 minutes after 2:26 PM? 7:48 PM How many minutes are there between 5:59 AM an
{ "pile_set_name": "DM Mathematics" }
*j + 4. Let y be l(7). Suppose -43*i = -44*i + y. Let g(a) = -a - 4 + a**2 + 3*a + 7 - i*a. Calculate g(3). 6 Let o(m) = -3*m - 1. Let p be (-22)/(-8) + (-1)/16*-4. Let q be (-3 + 2)*(p + -2). Determine o(q). 2 Suppose -2*p - 4*k + 4 = 0, 3*k - 2*k = -p + 2. Suppose p*i - 56 = -i + 5*y, -i + 5*y = -32. Let q be ((-2)/4)/(1/i). Let l(f) = 2*f + 8. Determine l(q). -4 Let z(a) = a**3 - 7*a**2 - a + 10. Let p = 696 - 689. Calculate z(p). 3 Suppose 4*n - 4*g - g = -3, -18 = -n - 5*g. Let q(a) be the third derivative of -a**4/6 + a**3/3 + 13*a**2 - 2. Calculate q(n). -10 Suppose 4*h + 16 = -k, -h = -4*k - 0*h + 21. Let l(z) = 4 + 0 - k - 2 + z**2 + z**3. Suppose 2*s = -s - 6. Determine l(s). -6 Let v(s) be the third derivative of s**8/6720 + s**7/504 + s**6/360 - s**4/4 + 23*s**2. Let m(z) be the second derivative of v(z). Give m(-3). 12 Suppose 0 = w - 0*w + 11. Let j(b) = -5*b**3 - 7*b**2 - 4. Let q(g) = 5 - 20*g**2 - g - 14 - 3 - 14*g**3. Let h(f) = w*j(f) + 4*q(f). Determine h(-3). 8 Let n(o) = o**2 - 16*o + 8 + 40*o - 14*o - 10*o - 13*o. Give n(13). 8 Let d(a) = -4*a**3 + 6*a**2 + 7*a. Let j(l) = 1 - 7*l + 3*l**3 - 2*l**2 - 2 - 5*l**2 + l**2. Let f(c) = 4*d(c) + 5*j(c). What is f(-5)? 5 Let f = 12 + -11. Let k(i) = -3*i**3 + 0 + 2*i**3 + i + f - i**3. Let c = 70 + -71. What is k(c)? 2 Let m(a) = 6*a**2 - 4*a - 8. Let v(k) = 5*k**2 - 3*k - 7. Let c(p) = 4*m(p) - 5*v(p). Let h = -13 + 9. Let i = 7 + h. What is c(i)? -9 Let h(r) = -r**2 - 5*r - 5. Suppose 4*c = -4*k + 68, -7*c + 2*c + k = -97. Suppose -5*j + c = -6. Let f be (-24)/j - 3/15. Calculate h(f). -5 Let h be 2/((-221)/(-78) + 10/(-12)). Let z(x) = -19*x + 1. What is z(h)? -18 Let v be (-5)/((-5)/(-2)) - -3. Let m(c) = 8 + 6 - 12 - c - 1. Let f(q) = -q**2 + 12*q - 6. Let y(s) = v*f(s) + 3*m(s). Give y(6). 15 Let q(i) be the first derivative of i**6/360 + i**5/120 + i**4/24 + 10*i**3/3 - 7. Let a(o) be the third derivative of q(o). Let z = 0 + -2. What is a(z)? 3 Let g(x) = -2*x**2 + 3*x. Let j = 14 + -12. Suppose -5 = -j*z + 3. Suppose -z*n - 5 = -13. Determine g(n). -2 Let d(m) = m**3 + 5*m**2 + 6*m + 2. Let x(f) = -f**2 + 5*f + 7. Let w be x(6). Suppose a = -2*a + 2*v + 22, 0 = v - w. Suppose 4*u = -a - 8. What is d(u)? -6 Let n(z) = -18*z**3 - 2*z**2 + 2*z - 1. Suppose y - 5 + 33 = -x, -4*y = -3*x + 77. Let d = -22 - y. What is n(d)? -19 Let m(w) be the third derivative of w**6/120 + w**5/15 - w**4/8 + w**3 - 29*w**2 + 3. Calculate m(-5). -4 Suppose 2*h + 0*h - 4 = 0. Let w be -1 + 2 - 1*(-10 + 7). Let x(k) = 5 + 4*k**3 - 5*k**3 - k + h*k**3 + w*k + 6*k**2. Calculate x(-5). 15 Let h(x) = x**3 - 9*x**2 + 3*x - 6. Let p be (-16)/((132/(-6))/11). Give h(p). -46 Let g(n) = 7*n. Suppose 16*z + 43 = 59*z. Give g(z). 7 Let k(o) = -o**2 - 14*o - 6. Suppose -3*p = i - 4*i - 57, i + 49 = 7*p. Determine k(i). -6 Let c be (-6)/((-4)/(-8)*-4). Suppose c*f = -f - 2*k - 22, 0 = -2*k - 6. Let z(q) = -2*q**3 + q**3 - 1 - 33*q**2 + 30*q**2 + 2. Calculate z(f). 17 Let c = 0 - -2. Let f(p) = -p - 3*p - p**c + 1 - 6*p**3 + 4*p. Suppose -2*b = -2, 1 = z - 3*b + 3. Give f(z). -6 Let a(x) = -3*x**2 + 18*x + 1. Let y be a(6). Let d = 0 + 5. Suppose y + d = -f. Let s(k) = -k**3 - 5*k**2 + 4*k - 3. Give s(f). 9 Let f(r) be the second derivative of -r**5/20 + 5*r**4/4 - 13*r**3/6 - 9*r**2/2 + 76*r. Determine f(14). 5 Let f(d) = 4*d - 88. Let a be f(24). Let c(r) be the first derivative of a - 3*r + 1/4*r**4 - 1/2*r**2 + 2*r**3. Determine c(-6). 3 Let y(b) be the third derivative of b**5/60 + 11*b**4/24 - b**3/2 - 58*b**2. What is y(-12)? 9 Suppose -o = -0*o - 1. Let a(f) = -104*f**2 + 311*f**2 - 102*f**2 - 1 + 2*f - 106*f**2. Give a(o). 0 Suppose 2*k + 133 = -4*p + 127, 0 = -5*k - 15. Let u(s) = -s - 70. Give u(p). -70 Let q(b) = 2*b - 8. Let p be (-209)/6 - 17/102. Let s be 53/7 + 20/p. Calculate q(s). 6 Suppose 3*u - 12 = -f, -8*f + 21 = 5*u - 6*f. Let a(k) = k**3 - k**2 - 4. What is a(u)? 14 Suppose 5*c - 46 - 4 = 0. Suppose -2 = -4*j + c. Suppose 6*m - 11 = -n + m, -4*n + 21 = -j*m. Let p(f) = -f**2 + 6*f + 6. Determine p(n). 6 Let a(h) be the first derivative of -h**4/4 - 32*h**3/3 - h**2 - 60*h - 465. What is a(-32)? 4 Let m(g) = -g - 1. Let w be 4/6 + 4/3. Let d be (3/10 + (-18)/(-36))*5. Suppose -4*b - 28 = y, -w*b + b + d*y = -10. Determine m(b). 5 Let a(i) = -1. Let d(y) = y - 14. Let k(x) = a(x) - d(x). Let w = 13 - 3. Suppose 0 = 5*b + c - 32, 2*b - 2*c = 3*b - w. Calculate k(b). 7 Suppose -3*d + 2 = -4. Suppose d*p + 18 = -p. Let m(u) = -u**3 - 5*u**2 + 3*u - 5. What is m(p)? 13 Let c(q) = -q**2 + 17*q - 13. Let g be c(16). Let z(j) = j**3 - j**2 + 6*j - 3. Give z(g). 33 Let t(q) = q**3 - 4*q**2 - q - 4. Let w be (-54)/((-44)/(-12) - 3). Let i be (-6)/15 - w/15. Suppose i = -p + 9. Determine t(p). -8 Let s(v) = 8*v**3 - v - 3. Let j(t) = 1 + 1 + 81*t - 9*t**3 - 43*t - 37*t. Let m(x) = -4*j(x) - 3*s(x). Calculate m(1). 12 Let t(a) be the third derivative of -a**5/60 + a**4/24 - a**3/6 + 5*a**2. Let j(i) = i**2 + 3*i + 3. Let x(n) = -j(n) - 2*t(n). Give x(4). -5 Let o(a) be the first derivative of -a**4/4 + 5*a**3/3 + 2*a**2 + 7*a - 2. Let g = 25 + -19. What is o(g)? -5 Let p be 1/1*(-1)/1. Let y(h) be the second derivative of -h**7/210 - 5*h**4/6 + 6*h. Let g(a) be the third derivative of y(a). Determine g(p). -12 Let v(q) be the second derivative of q**4/12 + q**3 - q**2/2 + 369*q + 1. Give v(5). 54 Let r(l) = -3*l - 19. Let u = 943 - 951. Calculate r(u). 5 Let r(q) = 2*q + 5. Let k(c) = c + 5. Let g(l) = -3*k(l) + 2*r(l). What is g(-7)? -12 Let n(z) = 2*z**2 + 14*z - 2. Let i = -279 - -272. Calculate n(i). -2 Let l(t) = t**3 + 6*t**2 + 3*t - 5. Let d(h) = -h**2 - 2*h + 3. Suppose 2*j = -28 + 20. Let o be d(j). Give l(o). 5 Let p(q) = -2*q**2 + 3*q - 1. Suppose 5*b = 3*v + 2*v - 30, -2*v - 3*b = -7. Suppose v*o = 2*m - 39, 4*o + 30 = -m - 9. Let d be (-16)/o + 4/18. What is p(d)? -3 Let a be 2/(-8) + 6/(-8). Let p(g) = 55*g**2 + 2*g + 18. Let r(u) = -29*u**2 - u - 10. Let o(m) = -5*p(m) - 9*r(m). Calculate o(a). -13 Let a(b) = 2 - 3*b - 2 - 2 + 4 - b**2. Let r be a(-4). Let p(o) = -35*o**2 + 2*o - o**3 - 2 - 2*o**3 + 5*o**3 + 39*o**2. Give p(r). -6 Let s(v) = -4 + 2 + 3. Let t(j) = 3*j. Suppose 0 = -5*o - 4*g - g - 20, -o - 14 = 3*g. Let d(m) = o*t(m) + 6*s(m). Determine d(-4). -6 Let c(a) be the first derivative of -a**3/2 + 3*a**2 - 7*a + 6. Let f(v) be the first derivative of c(v). Calculate f(4). -6 Let b(i) = 7*i - 44. Let m be b(7). Let z(h) be the third derivative of -h**3 + 0*h + 0 + 1/60*h**m - 3*h**2 + 5/24*h**4. Determine z(-5). -6 Let k(j) be the second derivative of -j**4/12 + j**3/6 - 3*j**2 - 409*j. Suppose -2*v - 2*v = 0. What is k(v)? -6 Let v be -19 - 6*(-10)/(-15). Let a = 49 - 25. Let q = a + v. Let p(t) = -8*t**2 + t. What is p(q)? -7 Let g(n) = 6*n + 2*n + 43 + 38 - 78 + 0*n. Give g(-5). -37 Let u(p) = -7*p + 3. Let w(k) = -3*k + 1. Let x be ((-21)/7)/((-2)/4 - -2). Let n(z) = x*u(z) + 5*w(z). Calculate n(-3). 2 Let b(r) = 0*r**2 + 0*r - 9 - 7*r - r**2. Suppose -23*z = -25*z + 48. Suppose -4*k - 4*u - 12 - z = 0, -5*u + 15 = -5*k. Calculate b(k). -3 Let j(k) = -k**2 - 6*k + 1. Let c(b) = b**3 + 6*b**2 + 3*b + 4. Let x be c(-6). Let v = x + 23. Suppose v*h - 10 = 4*h, -2*m - 2*h - 6 = 0. What is j(m)? 6 Let w(q) = -q**2 - 7*q + 51. Let f be w(-11). Let k(u) be the second derivative of f*u - u**2 + 1/6*u**3 + 0. Give k(2). 0 Let k(f) = 19*f**2 - 18*f - 17. Let v(r) = 11*r**2 - 9*r - 9. Let y(l) = 4*k(l) - 7*v(l). Give y(-8). 3 Let s = -5 - -6. Let i = s + 6. Let n(u) = -1 - 1 + 3 - i*u. What is n(1)? -6 Let a(o) = -13*o**2 - 6*o + 4. Let t(f) = 2*f**2 + f + 1. Let c(u) = a(u) + 6*t(u). Suppose 4*p = 5*p. What is c(p)? 10 Let l(y) be the first derivative of y**4/4 - y**3/3 + 2*y**2 + 3*y - 453. Determine l(-3). -45 Let n(l) = -l**2 + 2. Suppose 2*r + 2*v - 40 = 0, 4*v = -0*v + 20. Let g = 19 - r. What is n(g)? -14 Suppose 2 = -2*z - 2*f, 0*z = 3*z + f - 3. Let l(d) = -d**3 - 3*d**2 + d + 2. Determine l(z). -16 Let s(n) = -10*n**2 - 4*n**3 + 4*n**2 - 3*n - 3 - 7*n**3 + 10*n**3. Suppose 0 = -6*d - 5*d - 66. Calculate s(d). 15 Let n(g) be the second derivative of g**5/20 + 13*g**4/12 + 2*g**3 + g**2 + 193*g. Determine n(-12). 2 Let q = 6 - 6. Let x(s) = -4*s**3 + 5*s**3 - s - 1 +
{ "pile_set_name": "DM Mathematics" }
). 11*sqrt(17)/12 + 2452 Simplify 3*3*4*((sqrt(612) + 1)*-3 + -5 + -2 + sqrt(612)). -432*sqrt(17) - 360 Simplify 3 + ((sqrt(675)*-2)/sqrt(9))**2 - (-1*sqrt(675))**2*5. -3072 Simplify ((sqrt(171) + sqrt(171)*2 + -1)**2 - sqrt(171) - (sqrt(171) - sqrt(171)*1)**2*3) + 0 - (sqrt(38)*-2*3 - sqrt(38))/(sqrt(2)*3*-6). -385*sqrt(19)/18 + 1540 Simplify 2 + sqrt(27) - (sqrt(3) + 3 + 5 + sqrt(3))**2 - -4*-5*(0 + sqrt(75)). -129*sqrt(3) - 74 Simplify ((sqrt(648) + 2*sqrt(648)*6 + sqrt(648))*4)/((sqrt(225) + (sqrt(225) + (sqrt(225) - (sqrt(225) - (sqrt(225) - sqrt(225)*2)))*-6 - sqrt(225)))*2). 24*sqrt(2)/5 Simplify (sqrt(77)*-5*-1 - 2*sqrt(77)*5)/(-5*sqrt(567)*-1*2). -sqrt(11)/18 Simplify 4 + ((sqrt(171) - 1*(sqrt(171) + 1*sqrt(171)))/sqrt(9) - (-3 + -4*sqrt(171)))**2. 66*sqrt(19) + 2312 Simplify 0 + sqrt(75) + 1 + 3 + (5 + 2*sqrt(243) + 1)**2. 221*sqrt(3) + 1012 Simplify -1*(-4*5*sqrt(112)*2 + (6*sqrt(112)*2 - 1*(1*sqrt(112) + sqrt(112))))**2. -100800 Simplify ((sqrt(6776) - (sqrt(6776) + sqrt(6776)*1*6 + sqrt(6776) - sqrt(6776)))*-3)/((sqrt(96) - (1*sqrt(96)*1 + sqrt(96)))/((sqrt(96)/sqrt(2))/sqrt(4))). -198*sqrt(7) Simplify 4 + (sqrt(190)*3*-2*5)/(6*(sqrt(10) - (sqrt(110) - sqrt(110)*3)/sqrt(11))). -5*sqrt(19)/3 + 4 Simplify (sqrt(20)/(-3*sqrt(2)) - sqrt(120)/sqrt(108))/(-6*(sqrt(2) + -1*sqrt(288))*6). -sqrt(5)/594 Simplify (-1*(sqrt(170)*1 + sqrt(170)) - sqrt(170) - ((sqrt(170) - 2*sqrt(170)) + sqrt(170))*-1)/(-4*1*sqrt(160)*6). sqrt(17)/32 Simplify ((sqrt(28)/sqrt(2) + sqrt(14))*4 + sqrt(1400))/(5*sqrt(7)*2*1) + 3. 9*sqrt(2)/5 + 3 Simplify 0 + (1 + (sqrt(272) + sqrt(272) + (0 + sqrt(272) - sqrt(272)) + sqrt(272) - (-4*(-2 + sqrt(17)) - sqrt(17)) - (-4 + -2*sqrt(425))))**2. -162*sqrt(17) + 12402 Simplify ((sqrt(75) - (0 + sqrt(75) + 3)) + 5 + -2 - ((sqrt(3) + sqrt(3) + 0)*5*1 + (sqrt(33)*1)/sqrt(11) + 5))**2. 110*sqrt(3) + 388 Simplify (sqrt(176)/(-1*sqrt(4)) - (-1*sqrt(88))/sqrt(2))/(4*sqrt(12)/sqrt(3)*-6) + 5. 5 Simplify 2 + ((-4*(sqrt(272) + 1 - sqrt(272)) + -2 - -1*(sqrt(272) + sqrt(272)*1*6 + sqrt(272) - sqrt(272))) + 5)**2. -56*sqrt(17) + 13331 Simplify (5*(((sqrt(77)*2 - sqrt(77) - sqrt(77)) + sqrt(77))*5 + sqrt(77) - 4*sqrt(77)*2))/(sqrt(1331)*3*-6*-5). -sqrt(7)/99 Simplify (2*1*(sqrt(104) - (sqrt(104) + (sqrt(104) - (sqrt(104) + sqrt(104)*3)*3 - sqrt(104)))))/(((sqrt(400) - -2*sqrt(400))/sqrt(10))/(sqrt(20)*-5)). -80*sqrt(13) Simplify ((sqrt(468) - -5*(0 + sqrt(468)) - sqrt(468)*-1*-3 - 5*(sqrt(468)*4 + sqrt(468))*1) + 4 + 2)**2. -1584*sqrt(13) + 226548 Simplify ((sqrt(640)*-2 + sqrt(120)/(sqrt(12)*3))/(-3*sqrt(80)*2 + sqrt(80) + -3*2*sqrt(80)))**2. 2209/8712 Simplify ((sqrt(25) - sqrt(625))*-6 - -4*sqrt(25)*-3)/(4*(sqrt(180)/sqrt(6))/sqrt(6)*-1). -3*sqrt(5) Simplify ((6*(sqrt(114) - 2*(sqrt(114) + (sqrt(114)*2 - sqrt(114))) - 5*1*sqrt(114)))/(sqrt(216)*2 + (1*sqrt(12))/sqrt(2)))**2. 43776/169 Simplify 2 + (-2 + 5*((sqrt(75) + -1)*4 - (sqrt(75) + sqrt(75)*2*-6))**2)*4. -12000*sqrt(3) + 337814 Simplify -5 + -3*((3*sqrt(1700)*2)**2 - sqrt(1700)) + (-3*(sqrt(1700) + 1)*5)**2. 4530*sqrt(17) + 199120 Simplify (3*sqrt(84)*6 + (-2*(sqrt(84) - (1*sqrt(84) + sqrt(84))) - sqrt(84)))/((sqrt(96) + sqrt(96)*-1*-5)/(sqrt(72)*1 + sqrt(8))). 38*sqrt(7)/3 Simplify ((sqrt(13) - (sqrt(13) + sqrt(13) + 1 + 5 - sqrt(13)) - sqrt(13)) + -2 + sqrt(52) - ((sqrt(52)*1 + sqrt(52))/sqrt(4)*3 + -5))**2*4. 120*sqrt(13) + 1336 Simplify (sqrt(36)/(3*sqrt(768)) - (sqrt(9)/sqrt(3) + 5 + -2*(sqrt(3) + 0))) + -5. -10 + 25*sqrt(3)/24 Simplify (-6*2*(3*sqrt(18) - sqrt(18)))/((sqrt(864) - 4*sqrt(864))*-1) + -2. -2 - 2*sqrt(3)/3 Simplify (-6*(sqrt(21) + sqrt(525) + sqrt(525)*1 + sqrt(525)))/((sqrt(112)*1 - sqrt(112)) + sqrt(7) - 1*-3*sqrt(7)). -24*sqrt(3) Simplify (sqrt(11) + 5 + 3 - 6*sqrt(704) - 3*(sqrt(33) + 3*sqrt(2673))/sqrt(3))**2. -2096*sqrt(11) + 188835 Simplify (((sqrt(76) - (sqrt(76) + 1*sqrt(76))*5 - sqrt(76))/sqrt(4) - (2*sqrt(19) + sqrt(19) + -1)*3) + -1*(-5 + -2*sqrt(76) + -1))**2. -270*sqrt(19) + 4356 Simplify (3 + (sqrt(21)*-4)/sqrt(3))*-4*-2*-4*5. -480 + 640*sqrt(7) Simplify (3*(4 + sqrt(1300)) - (3*-2*sqrt(1300) + sqrt(1300)))**2 - ((sqrt(1300)*3 + -4)**2 + sqrt(1300)*4*2). 2080*sqrt(13) + 71628 Simplify (-1 + (((-2*sqrt(1088) - sqrt(1088)) + 2 + (sqrt(1088) - (sqrt(1088) + 1 + sqrt(1088)) - sqrt(1088))*-4)**2 - 5*(sqrt(1088) + -1)*-3))*1. 600*sqrt(17) + 27220 Simplify (-4*(-2 + sqrt(891) + 2 + sqrt(891) + sqrt(891))*-3 - (-4*(sqrt(891) - (sqrt(891) + 2*sqrt(891))) - (sqrt(891) - sqrt(891)*3*-6)))**2 + -2. 1968217 Simplify ((sqrt(156) - -6*4*sqrt(156))/(6*sqrt(144)/sqrt(12))*-6*-1)**2. 8125 Simplify (((sqrt(1296)*-1 - sqrt(1296)) + sqrt(36) + sqrt(36))/((sqrt(44)/sqrt(44) - sqrt(4) - sqrt(4)) + sqrt(4)))/(sqrt(270)/((sqrt(120)*2)/sqrt(12))). 40*sqrt(3)/3 Simplify -5*(sqrt(30) + (-2*sqrt(120))/sqrt(4) + sqrt(30))/((sqrt(36)/sqrt(3))/sqrt(2)) + ((sqrt(500)*1 + sqrt(500))/sqrt(10))/(sqrt(10)*-2*5). -sqrt(5)/5 Simplify -4 + 4 + (-3 + -5 + sqrt(272)*5)**2 + -5 + -4. -320*sqrt(17) + 6855 Simplify 3 + (-2 + sqrt(252)*-4)**2 + -1 + (-3*2*sqrt(77))/(2*sqrt(396)). 191*sqrt(7)/2 + 4038 Simplify ((sqrt(72) - (sqrt(72) - sqrt(72)*-2)*-4) + sqrt(72))/(sqrt(4) - (sqrt(256)*-1 + sqrt(256)) - sqrt(144)*1). -42*sqrt(2)/5 Simplify (6*(sqrt(28) - (-5*sqrt(1372) + sqrt(28))))/((sqrt(324) + (sqrt(324) - (sqrt(324) + sqrt(324)*6)))*-6 + sqrt(324)) + 2. 70*sqrt(7)/93 + 2 Simplify ((-5*sqrt(20)*-1)**2 - (-2 + sqrt(60)/sqrt(3))) + (2 + sqrt(125) + -1*sqrt(125))**2*1. -2*sqrt(5) + 506 Simplify -5 + 2*(sqrt(102)/(-2*sqrt(6)) - (-5 + -1 + sqrt(17))) + ((4*-1*sqrt(1088))**2 - (sqrt(272) - (-5 + 0 + sqrt(272) + sqrt(272)))**2). 37*sqrt(17) + 17118 Simplify (5 + (-4 + (sqrt(2) - (1 + sqrt(2))))*-5 + -1 + (-3 + (sqrt(2) - sqrt(6)/sqrt(3))*6 - sqrt(22)/(sqrt(66)/(sqrt(24)/sqrt(4)))))**2. -52*sqrt(2) + 678 Simplify ((6*2*sqrt(112))/(sqrt(968)*1))/(4*sqrt(21)/(sqrt(240)/sqrt(5) + sqrt(3) + sqrt(3))) + -3. -3 + 18*sqrt(2)/11 Simplify (-4*(1 + sqrt(180))*5 - (sqrt(500) + sqrt(500)*-1 - 2*(sqrt(45)/sqrt(9) + sqrt(5))))**2. 4640*sqrt(5) + 67680 Simplify -5 + (-3 + (sqrt(245) - (sqrt(245) - (sqrt(245) + 0 + 2)) - (-5 + sqrt(245)*1)))*5. 15 Simplify ((sqrt(567) - (sqrt(567) - (2*sqrt(567) - sqrt(567)))) + sqrt(252)/sqrt(4)*5)/(sqrt(18)/(sqrt(200)*4 - sqrt(200) - sqrt(200) - sqrt(2))). 152*sqrt(7) Simplify sqrt(108)*-3*-4*4 + 5 + ((5 + 2 + sqrt(108)*3)*-3)**2. 2556*sqrt(3) + 9194 Simplify (0 + (-5 + ((sqrt(176) - (sqrt(176) + 3)) + 2 - sqrt(176)) + -4 + 2)**2)*3*2. 384*sqrt(11) + 1440 Simplify (-5*(sqrt(468) + -1 + sqrt(468) - sqrt(468)))**2 + -6*5*sqrt(13)*-2 - (sqrt(143) + sqrt(143) + sqrt(143)*-3*-5)/(6*sqrt(22)/sqrt(2)). -1457*sqrt(13)/6 + 11725 Simplify (-4 + 1 + (sqrt(7) - sqrt(28))*1 + -1 + sqrt(77)/(sqrt(11) + (sqrt(11) - 1*sqrt(77)/sqrt(7)))*-5)**2. 48*sqrt(7) + 268 Simplify (6*(-1 + sqrt(2))**2 - sqrt(2) - sqrt(128)) + (sqrt(2) + sqrt(8) + -3 + sqrt(2) + 0 + -1)**2 + 2 + sqrt(7200)*1 + -1*sqrt(50)*-1. 12*sqrt(2) + 68 Simplify ((sqrt(143) - -1*sqrt(143))*-4)/(sqrt(11)*-2*-1) - (((sqrt(91) - (sqrt(91) + sqrt(91)*3*1)) + sqrt(91))/(sqrt(35)/(sqrt(35)/sqrt(7))))**2. -52 - 4*sqrt(13) Simplify (sqrt(2448) - sqrt(2448)*-2*4)*-3 - (-1*sqrt(272) + -3 - ((sqrt(272) + ((2*sqrt(272) - sqrt(272)) + -3 - sqrt(272)))**2 - sqrt(272))). -348*sqrt(17) + 284 Simplify (4 + ((sqrt(19) - (1 + sqrt(2299))) + sqrt(475)*-2 + sqrt(19) - (sqrt(931) - (5 + sqrt(931) + (-1 + sqrt(931) + sqrt(931) - sqrt(931))))*4)**2)*-1. -1768 - 270*sqrt(19) Simplify -3 + (-5*-4*sqrt(26)/sqrt(2))**2 + (-5 + sqrt(13) + sqrt(52)/sqrt(4) + sqrt(13) - (sqrt(637) + -1)). -4*sqrt(13) + 5193 Simplify -1 + ((2 + sqrt(396))*-3 - sqrt(396)) - (((sqrt(88) - 1*sqrt(88))*2)/(sqrt(200)*1))**2. -24*sqrt(11) - 7 Simplify (1 + (-2*sqrt(1300)*-2 + 4 - 5*-4*(-1*sqrt(1300) + sqrt(1300))))**2. 400*sqrt(13) + 20825 Simplify 5 + sqrt(24)/sqrt(648) + -4 + ((sqrt(12)/sqrt(4) + 3)**2 + sqrt(3) - sqrt(21)/sqrt(63)) + -1. 61*sqrt(3)/9 + 12 Simplify -4*((((2*sqrt(80))/sqrt(2))/((sqrt(64)*1)/sqrt(8)))**2 - (-2*sqrt(1815) + sqrt(1815) - sqrt(1815))/(1*sqrt(243))). -80 - 88*sqrt(5)/9 Simplify ((sqrt(567) + sqrt(567) + sqrt(567) + 4)*-4 - -2*(-3 + sqrt(567)) - (4*(sqrt(567) + 3 + sqrt(567) + sqrt(567)) - (sqrt(567) + 6*sqrt(567) + -5)))**2. 10530*sqrt(7) + 129096 Simp
{ "pile_set_name": "DM Mathematics" }
230000 What is -2404241111 (base 5) in base 6? -314424512 What is 24375845 (base 9) in base 14? 18239b0 15341440 (base 7) to base 11 916248 267c7a2 (base 13) to base 8 56142266 Convert 1262267 (base 9) to base 11. 431936 Convert 101001100100001000 (base 2) to base 12. 82634 -32051030 (base 7) to base 4 -22113221120 What is 10323204 (base 5) in base 2? 10101110001011011 What is 10243240300 (base 5) in base 9? 22475601 What is -1100010100111011011010 (base 2) in base 14? -6018dc Convert -4234132343 (base 5) to base 13. -1ac61b8 Convert 4e32c1 (base 15) to base 4. 32111033032 What is 26851 (base 13) in base 4? 101200222 -11010111000111101110 (base 2) to base 3 -1122202200121 What is bb739 (base 15) in base 14? 1170cd What is -16b3738 (base 12) in base 2? -10001111110101101011100 Convert 8a588 (base 15) to base 5. 103040003 162c90 (base 14) to base 16 bd85e 109660b (base 12) to base 4 30021103223 What is -32662031 (base 7) in base 2? -1010110000111011111011 What is -3d1ae (base 15) in base 16? -2fe2b Convert -303250 (base 9) to base 11. -11298a ac53b (base 13) to base 3 120220011202 -30001131332 (base 4) to base 15 -423cb2 Convert -3053708 (base 9) to base 7. -16565603 Convert 552715 (base 9) to base 14. 8841b Convert 67842 (base 10) to base 13. 24b58 What is -20555022 (base 6) in base 5? -123400301 Convert -2005744 (base 9) to base 11. -669832 Convert -7c1154 (base 14) to base 12. -14bb25a -48d8b (base 16) to base 15 -5d61e What is 32666060 (base 7) in base 8? 12612153 -3353a (base 13) to base 2 -10110101111110000 14759 (base 11) to base 9 31565 What is -8531a (base 14) in base 5? -40243120 -239041 (base 13) to base 6 -30102211 What is -211000112 (base 4) in base 11? -a3975 100022022200212 (base 3) to base 5 2231244044 -410321102 (base 5) to base 11 -a287a5 What is 104113 (base 12) in base 4? 332132133 What is 524646 (base 13) in base 6? 105120503 Convert -1105421 (base 6) to base 15. -11764 What is 240002311 (base 5) in base 12? 449195 Convert -200041331 (base 6) to base 5. -1330133014 Convert -2ecc4 (base 15) to base 16. -24f58 What is 201201011221 (base 3) in base 10? 387961 What is 41542016 (base 8) in base 5? 4230111024 -164ca (base 13) to base 14 -1173b What is -f4c05 (base 16) in base 5? -224040001 Convert 1001011010101000000 (base 2) to base 13. aa592 Convert 5a8701 (base 12) to base 14. 2a2557 -11100100100011100011111 (base 2) to base 8 -34443437 Convert -2875510 (base 9) to base 14. -2d3a0c Convert 1ae38 (base 15) to base 4. 111120122 What is 306f0a (base 16) in base 15? 42a754 Convert -fc521 (base 16) to base 3. -1221111200222 What is -48d1b3 (base 15) in base 2? -1101010011010000110000 101977 (base 10) to base 11 6a687 Convert -2525234 (base 6) to base 13. -49b64 135cdba (base 14) to base 3 122122002020000 -10010110000001000110101 (base 2) to base 13 -103164a 3333241 (base 7) to base 14 aa091 -111011001011000111101 (base 2) to base 6 -105320513 1025202 (base 7) to base 3 20022110110 -301260 (base 14) to base 3 -10001010200111 -130044403 (base 5) to base 13 -18cb78 -b31f (base 16) to base 3 -2022220100 What is -6322083 (base 11) in base 5? -10323111204 Convert -51525 (base 12) to base 5. -11344112 Convert -22220112 (base 7) to base 6. -105100510 What is -176604 (base 9) in base 8? -326420 What is -3010443 (base 6) in base 8? -424173 What is -41132401 (base 5) in base 7? -2556143 Convert -b9b5a (base 14) to base 4. -1231233210 -1210101134 (base 5) to base 11 -1653603 -162594 (base 10) to base 14 -4337c What is -15312510 (base 6) in base 11? -338608 134153403 (base 6) to base 14 50b923 12606333 (base 7) to base 16 11bab8 Convert 11122121212222 (base 3) to base 12. 9b2b52 What is d18d7 (base 14) in base 2? 1111011000001100101 -233884 (base 10) to base 4 -321012130 What is 1342032 (base 8) in base 7? 3132461 Convert 111550103 (base 6) to base 9. 3766243 What is -333663 (base 8) in base 2? -11011011110110011 15571b (base 12) to base 2 1011000011011000111 What is 2aa583 (base 16) in base 9? 5228765 -2125345 (base 6) to base 2 -11001100111000001 Convert 425360 (base 7) to base 4. 102003032 Convert -11104500 (base 8) to base 11. -1395a77 Convert 212021100 (base 3) to base 9. 25240 Convert 1709b1 (base 16) to base 15. 1ec53e Convert 104014432 (base 5) to base 9. 762242 Convert -1834059 (base 10) to base 16. -1bfc4b 563b (base 15) to base 3 221002002 What is -3241100404 (base 5) in base 8? -32461113 What is 523215 (base 7) in base 10? 89976 Convert 3a780 (base 15) to base 5. 21443240 What is 138288 (base 14) in base 4? 2210323100 What is 179204 (base 10) in base 5? 21213304 What is -a74e (base 15) in base 9? -53502 Convert 13a378 (base 12) to base 9. 551072 -213121331 (base 4) to base 13 -5860a 27dc8 (base 14) to base 12 491a4 -747d9 (base 14) to base 10 -281451 831647 (base 9) to base 2 1111000011100010101 99d581 (base 16) to base 6 1000030213 -1101443 (base 6) to base 16 -d623 433310442 (base 5) to base 8 7044660 Convert -320242422 (base 5) to base 4. -11012132111 What is 30514 (base 11) in base 2? 1010110111111111 What is 94dd (base 15) in base 12? 16277 What is -450760 (base 10) in base 7? -3555112 -100010110011100001001 (base 2) to base 4 -10112130021 Convert -10ca961 (base 15) to base 3. -211122101112101 Convert 35043515 (base 7) to base 4. 23231131010 What is 997a3 (base 11) in base 6? 3033540 Convert -da3567 (base 14) to base 6. -422142343 -10120020011222 (base 3) to base 6 -104332512 -1320220 (base 6) to base 12 -36070 What is 1203013132 (base 4) in base 13? 112a35 -12103b8 (base 12) to base 13 -959450 728542 (base 10) to base 12 2b173a Convert -11738 (base 10) to base 9. -17082 Convert c7aa83 (base 14) to base 11. 38a2129 2170764 (base 10) to base 12 888290 Convert 548872 (base 9) to base 12. 139a02 What is -914773 (base 11) in base 13? -3c633c What is -11001010011011110 (base 2) in base 6? -2115502 Convert -100110010001001010111101 (base 2) to base 4. -212101022331 -4323203 (base 5) to base 13 -2762c -42652410 (base 7) to base 15 -4be706 What is 1000211022011 (base 3) in base 7? 4440535 What is 304645 (base 8) in base 6? 2054313 Convert 111101011001111000011 (base 2) to base 6. 111043135 What is -1000000000100111 (base 2) in base 4? -20000213 Convert -339094 (base 10) to base 8. -1226226 What is 11653 (base 8) in base 11? 3868 What is 15ed6 (base 16) in base 7? 522564 -100100010100011011100 (base 2) to base 7 -13054463 What is -48037 (base 12) in base 4? -113220223 Convert -3113334 (base 10) to base 4. -23320011312 194a60 (base 15) to base 14 2407b2 What is -40313442 (base 5) in base 6? -10531205 Convert 112222220111 (base 3) to base 8. 1100411 What is 54a97 (base 11) in base 14? 21153 -a70a72 (base 11) to base 13 -480392 What is -1005052 (base 8) in base 2? -1000000101000101010 What is -2706ba (base 13) in base 15? -139920 What is 10411415 (base 6) in base 4? 1030112003 1022241442 (base 6) to base 11 6084158 11365315 (base 7) to base 14 1c3445 What is -1442454 (base 7) in base 16? -2fb4a -101011010100101001111 (base 2) to base 8 -5324517 What is 12413023 (base 5) in base 3? 20020120102 What is 1201042100 (base 5) in base 7? 32253404 What is -634555 (base 13) in base 8? -10671310 What is -127537 (base 8) in base 4? -22331133 Convert 210010122212020 (base 3) to base 4. 222312101022 -7277 (base 9) to base 2 -1010011010111 1335858 (base 10) to base 11 832717 4340214 (base 5) to base 9 123084 What is 1536732 (base 8) in base 10? 441818 -7380 (base 10) to base 6 -54100 -50043047 (base 8) to base 9 -21678348 -19f3e (base 16) to base 8 -317476 What is 11001000101000101111 (base 2) in base 4? 3020220233 29aae9 (base 16) to base 4 22122223221 54129 (base 13) to base 14 3d469 What is 243071 (base 8) in base 5? 10133023 What is 45a88 (base 13) in base 2? 11111000000110111 12000211222 (base 3) to base 10 99035 What is -24047 (base 16) in base 7? -1153052 Convert 18c8a1 (base 13) to base 8. 2311654 30520013 (base 6) to base 12 366009 What is 421a0 (base 12) in base 11? 5a126 Convert 64438 (base 14) to base 16. 3b282 Convert -21a876 (base 11) to base 13. -c3a70 Convert 254462 (base 9) to base 16. 25a57 Convert 2032650 (base 9) to base 4. 10020302022 What is 3568 (base 11) in base 2? 1001001000000 What is -15501343 (base 6) in base 5? -12013424
{ "pile_set_name": "DM Mathematics" }
g(i). Let j = -15 - -12. Give p(j). -6 Let z(f) be the first derivative of -4*f - 1 - 1/2*f**2. What is z(-5)? 1 Suppose 0 = z - 4. Suppose -z*h = h - 15. Let l(i) = -2*i**2 + 3*i - 2. Calculate l(h). -11 Let v(a) be the third derivative of a**4/4 - a**3/6 - a**2. Let w be (-1)/4 - (-9)/(-12). Give v(w). -7 Let r(q) be the second derivative of -q**3/6 - 5*q**2/2 + 8*q. Give r(-5). 0 Let r(y) be the third derivative of -2*y**2 - 1/20*y**5 + 0 + 0*y + 0*y**4 + 1/6*y**3. What is r(1)? -2 Let g(b) = b**2 + 7*b + 4. Let d be -5*-1*(-24)/20. Calculate g(d). -2 Suppose 81 = 3*v - 3*q, 7 - 33 = -2*v - 5*q. Suppose -2*a + 3*r = -v, -5*a = -3*r + 8 - 43. Let x(h) = -h**2 + 5*h - 1. What is x(a)? 3 Let q(f) = 13*f**3 + 5*f**2 - 15*f + 4. Let w(b) = -7*b**3 - 3*b**2 + 8*b - 2. Let s be (1 - (-3)/(-1)) + 8. Let h(j) = s*q(j) + 11*w(j). Calculate h(2). -6 Let h(m) = 4*m**3 - 6*m**2 + 9*m - 10. Let w(s) = s**3 + s - 1. Let c(d) = h(d) - 3*w(d). Give c(5). -2 Let w = -59 - -53. Let n(m) = -m**3 - 7*m**2 + 6*m + 10. Let c(p) = -p**3 - 8*p**2 + 5*p + 11. Let v(k) = 2*c(k) - 3*n(k). Give v(w). 4 Let y(s) be the first derivative of s**4/4 + 3*s**3 - s + 23. Determine y(-9). -1 Let x(s) = -s**2 + 3*s + 3. Let d(m) = -m**3 + 5*m**2 - 6*m + 3. Let z be d(4). Let r = z - -10. Determine x(r). -7 Let j(z) = z - 7. Suppose 0 = -11*b + 47 + 8. What is j(b)? -2 Let f(i) = 2*i + i**2 - 3 - 1 - 1 + 1 - i**3. Give f(3). -16 Let t(d) = -d**2 - 6*d - 3. Let y be t(-5). Suppose -l + 5 = -4*v, -3*l + 10 + 5 = 2*v. Let i = l - y. Let j(k) = k**2 - k - 4. Calculate j(i). 2 Suppose -3*x + 6 - 14 = -4*g, 0 = -5*x + 4*g - 8. Let a(u) be the first derivative of 1/3*u**3 + 0*u**2 + 1 - 4*u. What is a(x)? -4 Let f(c) be the second derivative of c**4/12 - c**3/2 + c**2/2 + 4*c. Give f(3). 1 Let n(t) = -t - 6. Let b be n(-3). Let m = b - -7. Suppose 6*x + 17 = -4*a + x, m*a = 5*x - 7. Let z(g) = g + 2. Determine z(a). -1 Let t(x) = x**2 + 8*x - 2. Let c(w) = -2*w + 24. Let m be c(16). Determine t(m). -2 Let c(y) = -2*y + 1. Let f = -12 + 8. Determine c(f). 9 Suppose -w + 5 = 10. Let s(u) be the second derivative of u**4/12 + u**3 + 7*u**2/2 + 8*u. What is s(w)? 2 Suppose -22*f = -31*f - 18. Let m(c) = c**2 + c. Give m(f). 2 Let b(k) be the first derivative of -3*k**2 - 1. Suppose 6 = g - m, 3*g - 2*g = -5*m + 24. Let r = 10 - g. Give b(r). -6 Let c(o) be the first derivative of -1/12*o**4 - 1/2*o**2 + 0*o + 0*o**3 + 1. Let q(p) be the second derivative of c(p). Determine q(1). -2 Suppose 0 = n + 2*f - 4, 0 = -2*n - 0*f + 2*f + 8. Let g(r) = 49*r - 48*r + 0 - n. Let d(a) = -4*a + 1. Let b be d(-1). Calculate g(b). 1 Let s(w) = w**3 - 7*w**2 + 3*w - 6. Suppose 2*i - 10 = -0*i + t, 9 = -i + 4*t. Give s(i). 15 Let w be 4 + -3 + 5 - 3. Suppose 52 = w*y - y. Let b(v) = -25*v - 2*v**2 - 2*v**2 - v**2 + y*v. Determine b(-1). -6 Let p(s) = -28*s**2 + s - 6. Let k(i) = 56*i**2 - 2*i + 11. Let t(d) = 6*k(d) + 11*p(d). Give t(1). 27 Suppose 2*h + 4 = 4*u, u - 4*h = 19 - 4. Let d(w) = -3*w + 5. Let q(k) = -2*k - 1 + 5*k - 5. Let i(j) = -5*d(j) - 4*q(j). Calculate i(u). -4 Let j(i) = -i + 7. Suppose -2*a + 54 = 5*x, 2*x + 2*a - 3*a - 27 = 0. What is j(x)? -5 Let h(k) = 1. Let t(b) = -b**2 - 6. Let r(o) = -4*h(o) - t(o). Calculate r(0). 2 Suppose 0 = 8*q - 244 + 84. Let n(u) = 2*u + 25*u**2 - q*u**2 - 1 + 2*u**3 - u**3. Determine n(-4). 7 Suppose -2*z = -5*z - d, 2*z - 4*d = 0. Let g(v) = -v**3 - v**2 - v - 2. Calculate g(z). -2 Let y(q) = q + 1. Let c be y(-3). Let b(d) be the second derivative of -1/3*d**3 + 0 + d + 1/2*d**2. Calculate b(c). 5 Let d be (-14)/(-8) - (-3)/(-4). Let g(r) = 6*r**3 - r**2 + r - 1. Determine g(d). 5 Let c(t) = t**2 - 3*t - 4*t + 4*t + t**2. Let z be c(2). Let k(u) = -u**2 + 3 - u**3 - 1 - 3*u + 4*u**2. Determine k(z). 0 Let a(p) = -2 - p - 3*p**2 - 5*p + 2*p**2. Let u(s) = 4*s**2 - 1. Let q be u(-1). Let k(w) = -w - 2. Let c be k(q). What is a(c)? 3 Let c(p) be the third derivative of -p**4/12 - 13*p**3/6 + 20*p**2. What is c(-9)? 5 Let p(k) be the first derivative of -k**2 + 4*k - 41. Determine p(4). -4 Let o(f) be the first derivative of -f**5/60 + 5*f**4/24 - f**3/2 + f**2 - 3. Let p(k) be the second derivative of o(k). Give p(3). 3 Let c(u) be the second derivative of 13*u**4/12 - u**3/6 + 2*u. Give c(-1). 14 Let i(s) = -7 - 4*s + 2*s + 1. Suppose -3*n + 5*y + 6 = -1, -6 = -2*n + 2*y. Suppose -n*j + 4*z - 10 = 2*z, -5*j - z - 30 = 0. Calculate i(j). 4 Let r(z) = z**3 + 4*z**2 - 6. Let n be r(-4). Let l(i) = i**3 + 7*i**2 + 6*i + 3. Determine l(n). 3 Let t be (4/(-6))/((-2)/(-12)). Let z = -6 - t. Let w be z - -1 - (0 + 3). Let c(h) = -h**3 - 5*h**2 - 4*h + 4. What is c(w)? 4 Let m = -5 - -3. Let u(s) = s + 3*s + 1 + 2. Determine u(m). -5 Let y(p) be the second derivative of -p**8/6720 - p**7/630 - p**6/360 + p**5/120 + p**4/4 - p. Let a(j) be the third derivative of y(j). Give a(-2). -3 Let s(o) = -4*o + 6. Let h(d) = -d**2 + 6*d + 10. Let n be h(7). Suppose 0 = -3*q + n*w + 27, 25 = -w - 4*w. Calculate s(q). -10 Let w(r) = -r + 7 - 1 + r + r. What is w(-8)? -2 Let f(h) = -12*h - 15. Let n(w) = -w - 1. Let a(y) = -f(y) + 15*n(y). Let c be 1 + 1 - (19 + -5). Let r = c - -10. Determine a(r). 6 Let n be (2/1 - (-2 + 3))/1. Let q(k) = 4*k. Determine q(n). 4 Let w(s) be the third derivative of s**6/120 + s**5/10 + s**4/4 + s**3/2 - 18*s**2. Calculate w(-4). 11 Let b(s) = -s**2 + 1. Let v = 6 - 3. Suppose -7 = 2*t - v. Calculate b(t). -3 Suppose -5*m + 9 = -1. Suppose 12 = m*z + 2*z. Suppose z*d - u + 4*u = -18, 2 = -u. Let t(j) = j**3 + 3*j**2 - 2*j - 2. Determine t(d). -10 Suppose -t - 3 = 2*r - 2, -7 = -t + 2*r. Let w = 1 + t. Let i(h) = -1 + 2*h - h + 0 - 4. Give i(w). -1 Let k(u) be the first derivative of -6*u - 1 - 3*u**2 + 1/3*u**3. Give k(6). -6 Let l(s) = s**2 + 6*s + 1. Let d be 3/2*(-1 - -3). Suppose 0 = -d*n - 15, 41 = -g - 5*n + 11. What is l(g)? -4 Let b(v) = v**3 + 2*v**2 + 2*v - 2. Suppose 2*a + 6 = -g, -3*g = a - 2*g + 4. Let d = 0 + a. Determine b(d). -6 Let w(k) be the second derivative of -k**5/20 + k**4/2 - 4*k**3/3 + 3*k**2 + 2*k. Let s(u) = -5*u - 30. Let i be s(-7). Determine w(i). -9 Suppose 2 = -3*s - 7. Let z = -5 - -3. Let u(i) = -5*i - 4. Let k(x) = -x. Let l(o) = z*k(o) + u(o). What is l(s)? 5 Let g be (20 + 3/3)*-1. Let v be g/(-27) + 2/9. Let y(z) = -6*z**3 + 3*z**2 + 3*z + 4. Let i(x) = -x**3 + x**2 + x + 1. Let o(t) = -3*i(t) + y(t). Give o(v). -2 Let s(w) be the first derivative of 1/6*w**3 + 1 + 1/20*w**5 - 1/4*w**4 - w + 2*w**2. Let r(h) be the first derivative of s(h). Give r(3). 7 Let i(f) be the second derivative of f**3/6 + 3*f**2/2 - 9*f. Calculate i(-4). -1 Let k(b) = -3*b + 1 - 3 + 15 - 4. Give k(6). -9 Let z be (6/4)/(18/12). Let c(o) = -5*o + 4*o + z - 10 - 4. Give c(-8). -5 Let a(o) = -o - 7. Suppose -2*u = -4 - 4. Let i = u + -9. Calculate a(i). -2 Let i(z) = 0 - 5 + z - z**2 + 4. Determine i(2). -3 Let b = -3 - -14. Let c(q) = -q**3 - 4*q - 4. Let d(a) = 3*a**3 + 11*a + 12. Suppose 0 = 2*p - 8. Let n(v) = b*c(v) + p*d(v). Give n(0). 4 Suppose -3*u - 3*o = -6*o, -3*u + 8 = 5*o. Suppose 3*y = -h - 1 - 9, 0 = -2*h - y. Let v(m) = 0*m - m**2 - h*m**3 + m + 0*m**3. Determine v(u). -2 Let t(r) be the third derivative of r**6/120 - r**5/12 - r**4/24 - r**3/6 + r**2. Suppose -4*d - 40 = -b - 3*b, 3*b = -4*d - 5. Calculate t(b). -6 Let i(a) = -5*a**2 - 10*a + 6. Let r(w) = -w**2. Let d(v) = i(v) - 6*r(v). Give d(6). -18 Let f be (60/40)/(6/20). Let x(t) = -3*t**3 + 4*t**2 - 9*t + 7. Let i(s) = -16*s**3 + 19*s**2 - 46*s + 35. Let q(l) = -2*i(l) + 11*x(l). Give q(f). -3 Let r(c) = -c**2 - 5*c + 2. Let l be r(-3). Let q(t) = -2*t + 10. What is q(l)? -6 Let c(l) = 3*l**2 - 2*l - 2. Suppose 5*d - 8 - 2 = 0. Suppose 0 = -3*a - d*i + 5, 2*i + 4 = 0. Suppose 7*h - 8 = a*h. Give c(h). 6 Let p(s) be the second derivative of -s**3 - s**2 + 8*s. Give p(3). -20 Suppose 0 = m + 15 - 12. Let t(n) be the second derivative of -n**3/3 - 2*n**2 - n. Calculate t(m). 2 Suppose p = -31 + 29. Let r(z) = 2*z**2 + 4*z + 2. Calculate r(p). 2 Suppose 0*k = -2*k - 3*p + 4, -2*k = 2*p - 4. Let r(x) = 3*x**3 - x + 2. What is r(k)? 24 Let g(o) = -6*o + 4*o + 3 - o + 4*o. What is g(0)? 3 Let n(b) = -20*b**3 + 37*b**3 - 13*b**3 + b. Suppose 0 = -3*i - 0 + 3. Calc
{ "pile_set_name": "DM Mathematics" }
t is the second derivative of -3*f*g*p*y**2 + 151*f*g*y**2 - 52*f*g + 9*f*p + 3*f*y + 2*f - 2*g*p*y**2 - 2*y**2 wrt y? -6*f*g*p + 302*f*g - 4*g*p - 4 What is the third derivative of 148*q*t**5 + 56*q*t**4 - 45*q*t + t**4 - 36*t**2 - 2*t + 2 wrt t? 8880*q*t**2 + 1344*q*t + 24*t What is the third derivative of -19*d**4*u - 14*d**4 - 493*d**3*u + 4*d**3 - 673*d**2*u - 234*d**2 - 2*d*u wrt d? -456*d*u - 336*d - 2958*u + 24 Find the second derivative of 2*v**4 - v**3 - 76*v**2 - 19401*v. 24*v**2 - 6*v - 152 What is the first derivative of q**4 - 239391*q**3 + 1505179? 4*q**3 - 718173*q**2 Find the second derivative of -405*i*y**2 + 6*i*y + 15*y**2 + y - 10123 wrt y. -810*i + 30 Find the first derivative of -2*d**2*p + 257*d*j*p - 3*d*j + 5*d*x + 7*j*p + 130*j*x - p*x + 2*x - 4 wrt d. -4*d*p + 257*j*p - 3*j + 5*x Find the second derivative of -58935*z**2 + 15095*z. -117870 Find the second derivative of f**3*i**2 + 106021*f**3 - 38*f**2*i**2 + 9996*f*i**2 - 3*i wrt i. 2*f**3 - 76*f**2 + 19992*f Find the second derivative of 15*m**3*v + 2*m**3 + 3*m**2*v - 77*m**2 + 2*m*v + 3163401*m + 1 wrt m. 90*m*v + 12*m + 6*v - 154 Find the second derivative of 30*k**2*m**2 + k**2*m - 15604*k**2 - k*m**2 + 817347*k*m wrt k. 60*m**2 + 2*m - 31208 Find the third derivative of 639*p**4 + 17*p**3*z + 3*p**2*z + 8*p**2 + 4*p + 2*z wrt p. 15336*p + 102*z Find the second derivative of 7591*t**4 + t**2 - 303936*t wrt t. 91092*t**2 + 2 What is the derivative of 6470*u**3*x**3 - 35433*u**3 - 2*u*x**4 wrt x? 19410*u**3*x**2 - 8*u*x**3 What is the first derivative of 55506*m**4 + 111638 wrt m? 222024*m**3 What is the first derivative of -128876*h*s - 124148*s wrt h? -128876*s Find the second derivative of 971830*t**3 + 1750682*t. 5830980*t Find the second derivative of -10701*f**3*y**2 - 6*f**3 + 333*f + 26*y**2 - y + 2 wrt y. -21402*f**3 + 52 Differentiate -34*a*c**2*s - a*c*s + 3*a*s - 699*c**4 + 51798 wrt c. -68*a*c*s - a*s - 2796*c**3 Find the third derivative of -105*b**3*c**3 + 176*b**3*c**2 + 12*b**3*c - 2*b**2*c**3 - 7*b**2*c**2 - 614*b*c**2 - 5*c**2 wrt b. -630*c**3 + 1056*c**2 + 72*c Find the third derivative of 7*d**3*i**4 - 2*d**3*i**2 + 25558*d**3*i + 3124*d*i**4 wrt i. 168*d**3*i + 74976*d*i Find the second derivative of -2*g**3*n**2 - 1154*g**3*n - g**3 + 8240*g*n**3 - 10*n wrt n. -4*g**3 + 49440*g*n Find the third derivative of 24*f**3*u**2 + 134*f**3*u - 11*f**3 + 2*f**2*u**2 - 286*f**2*u + 7 wrt f. 144*u**2 + 804*u - 66 Find the third derivative of -390048*s**3 - 10818*s**2 + 14*s. -2340288 Differentiate -2*b*k*p - 3*b*p + 7338*b + 139940*k - p wrt b. -2*k*p - 3*p + 7338 What is the second derivative of -9177*h**3*l**4 + 183756*h**3*l - 4*h*l**4 wrt l? -110124*h**3*l**2 - 48*h*l**2 Differentiate -31*l**2*r**2 + l**2*r - l**2 - 19*l - 2*r**2 + 5*r + 43 with respect to l. -62*l*r**2 + 2*l*r - 2*l - 19 Find the first derivative of 23*d**3 + 3*d**2 + 74*d + 14166. 69*d**2 + 6*d + 74 What is the first derivative of -d*f*u - 41692*d*f + 3*d*u - 291706*d - 36*f*u wrt f? -d*u - 41692*d - 36*u Find the second derivative of -43789*m**3 - 1714*m. -262734*m Find the third derivative of 21582*l**4 - 159*l**2 - 23*l wrt l. 517968*l Find the third derivative of 229*y**6 + 55*y**4 - 3*y**3 - 146130*y**2 wrt y. 27480*y**3 + 1320*y - 18 Differentiate -424756*m**3 - 2692569 wrt m. -1274268*m**2 Differentiate 11*n*s*z**2 - 579*n*s*z - 16*n*z**2 + 72*n*z + s*z - z wrt s. 11*n*z**2 - 579*n*z + z Find the second derivative of 22966*l**5 + 30296*l. 459320*l**3 What is the second derivative of -2*j**3*u + 49*j**3 - 2*j**2*u - j**2 + j*u - 10*j - 103*u wrt j? -12*j*u + 294*j - 4*u - 2 Differentiate 27940*f - 169310. 27940 What is the third derivative of 43*n*q**3 + n*q**2 - 160*n*q + 7*n + 2275*q**3 + 2*q - 1 wrt q? 258*n + 13650 Find the third derivative of 27472*a**4 - 225*a**2 + 10*a wrt a. 659328*a Find the third derivative of -225901*f*g**6 + 9*f*g**5 + 14*f*g**2 + 9969*f*g wrt g. -27108120*f*g**3 + 540*f*g**2 What is the second derivative of 31*l*t**3 + 37562*l*t**2 + 7297*l*t + 3*l + t + 1 wrt t? 186*l*t + 75124*l Differentiate -2*d*t*v - 36*d*v - d + 38*t**2*v - 252*t wrt t. -2*d*v + 76*t*v - 252 What is the derivative of 303992*u**2 + 2238941? 607984*u Find the second derivative of 5430*g**3*l**2 - g**3*l + 13231*g**3 - 2*g**2 - 4*l**2 wrt l. 10860*g**3 - 8 Find the third derivative of 20*o**6 - 5*o**5 - 7*o**3 + 41561*o**2. 2400*o**3 - 300*o**2 - 42 What is the first derivative of 3*d**4 - 119126*d**3 + d**2 - 3214084 wrt d? 12*d**3 - 357378*d**2 + 2*d Find the first derivative of 49*p**4*s - 2*p**2*s + 15642*s wrt p. 196*p**3*s - 4*p*s What is the third derivative of w**2*x**3 - 1371*w**2 - 18*w*x**2 - 2946*x**3 wrt x? 6*w**2 - 17676 What is the derivative of 4436887*h*s**3 - 9*s**3 - 3*s**2 - 7*s - 85 wrt h? 4436887*s**3 Find the second derivative of -65248*d*q**3 - 13*d*q + 2527*d - q**4 wrt q. -391488*d*q - 12*q**2 Differentiate -3*j**4 - j**3 - 1216*j + 31275. -12*j**3 - 3*j**2 - 1216 Find the third derivative of 24061*f**3 + 27640*f**2. 144366 Differentiate 430551*j + 787188. 430551 What is the second derivative of 781*j*m**2 - 889151*j*m - 1609*m**2 - m wrt m? 1562*j - 3218 Find the third derivative of 932483*l**5*s**2 - 42*l**2*s + l**2 - 2376*l*s + 3*s**2 - 2 wrt l. 55948980*l**2*s**2 Find the second derivative of -3175*l**4*r**3*z + 4*l**4*z + 6*l*r**3 - 120*l*z + 2*r**3*z + 2*r**2*z + 2*z wrt l. -38100*l**2*r**3*z + 48*l**2*z What is the third derivative of 261*j*q**3 - 280*j*q**2 - 8*j - 1094*q**3 - 41*q**2 wrt q? 1566*j - 6564 What is the third derivative of -2339*d**5 - 105*d**3*z - d**2*z + 4*d**2 + 762*d*z - 7*z wrt d? -140340*d**2 - 630*z Find the first derivative of -28*s**2*y + s**2 + 3*s*y**2 + 4*s - 15*y**2 + 2*y - 1744 wrt y. -28*s**2 + 6*s*y - 30*y + 2 Find the third derivative of 308863*s**3*x**2 - s**2*x**2 - 1139916*s**2*x wrt s. 1853178*x**2 What is the derivative of -238*p**2 + 209*p - 360125 wrt p? -476*p + 209 Find the third derivative of 10018*c**4*g - c**4 - 24*c**3*g + c**3 - 18*c**2*g + c**2 + 6*c*g + 670*c wrt c. 240432*c*g - 24*c - 144*g + 6 Differentiate -8472*k + 7228 wrt k. -8472 Differentiate -5482*l**3*v*z**3 - 3*l**3*v*z**2 - 2*l**3*z**3 - 263*l**3*z - 4*l**2*z - 3*z**3 wrt v. -5482*l**3*z**3 - 3*l**3*z**2 Find the second derivative of -8*k**3*t - 10515*k**3 + 2*k*t - 60*k - 1273*t wrt k. -48*k*t - 63090*k What is the third derivative of 12*d**4 + 974*d**3 - d**2 - 236*d + 37? 288*d + 5844 What is the third derivative of 7012*b**4 - 2*b**3 + 494*b**2 + 3*b wrt b? 168288*b - 12 Find the second derivative of 9*t**3 + 9329*t**2 + 13*t - 2333 wrt t. 54*t + 18658 What is the third derivative of 10*f**5 + 4776*f**3 + 354742*f**2 wrt f? 600*f**2 + 28656 What is the first derivative of -68668*k**3 + k*l**3 - 80854*l**3 wrt k? -206004*k**2 + l**3 Find the second derivative of 2699473*h**2 - 3832295*h. 5398946 Find the second derivative of 23376*g**2 - 983*g wrt g. 46752 Differentiate 6217*r**2 - 10*r + 186314 wrt r. 12434*r - 10 What is the first derivative of -264564*a*x**3 - 3*a*x + 49909*x**3 + 2*x**2 + x wrt a? -264564*x**3 - 3*x Find the third derivative of -37*v**4 - 58*v**3 + v**2 + 51*v - 798 wrt v. -888*v - 348 What is the second derivative of -18240*y**4 - 2*y**2 + 5038*y wrt y? -218880*y**2 - 4 What is the second derivative of -445*c**3*l**2 + 36*c**3 + 2*c*l - c + 16*l**2 - l wrt c? -2670*c*l**2 + 216*c Differentiate 2*j**2*n + 553*j*n + 405*n - 187 with respect to j. 4*j*n + 553*n Differentiate 21*j**3 + 161*j**2 + 20479 wrt j. 63*j**2 + 322*j Find the first derivative of -783540*j + 446576. -783540 What is the derivative of 3*n**3*t**2 - 4*n**3 + 38*n**2*t + 8392*t**2 wrt n? 9*n**2*t**2 - 12*n**2 + 76*n*t Find the second derivative of -5035*l**2*r - 4*l*r + l - 394*r - 2 wrt l. -10070*r Differentiate -8110*d**4*h**2 + 31*d**2*h**3 + 2*h**3 + 1076*h - 57 wrt d. -32440*d**3*h**2 + 62*d*h**3 Find the second derivative of 4*k**3 + 5022*k**2 + 2481*k - 2. 24*k + 10044 What is the second derivative of -446538*w**2 - 3*w - 109652 wrt w? -893076 What is the second derivative of -3*f**3*v**3 - 2*f**3*v + 15*f**3 + 32*f*v**3 - 3155*f*v - f - 1469*v**3 wrt v? -18*f**3*v + 192*f*v - 8814*v Find the first derivative of 177*o**3*t - 30
{ "pile_set_name": "DM Mathematics" }
*j**2*s**2 + 12*j*s**2 Find the third derivative of -20*o**3*p**3 + 325*o**3 + 13*o**2*p**3 - 4*o**2*p - 145*o**2 wrt o. -120*p**3 + 1950 Find the third derivative of 2*k**4*s + 538*k**4 + k**3*s + 18619*k**2*s + k**2 + k*s + 2*k wrt k. 48*k*s + 12912*k + 6*s Find the third derivative of -1237095*b**3 + 646561*b**2. -7422570 What is the third derivative of -8607*f**4 + 32987*f**2? -206568*f What is the second derivative of 816*l**3*q**3 + 765*l**3*q**2 - 247791*l*q**3 + l*q**2 wrt l? 4896*l*q**3 + 4590*l*q**2 What is the second derivative of -5*g*r*u**2 - 10*g*r + 2*g*u**2 - 6*g + r*u**2 - 2892*u**2 + 14*u wrt u? -10*g*r + 4*g + 2*r - 5784 What is the third derivative of 13330*s**3 + 61*s**2 - 577? 79980 What is the second derivative of -6*d*r**2*z + d*r*z**2 + 480*d*r*z + 7*d*z**2 - r**2*z**2 - 3*r**2*z wrt r? -12*d*z - 2*z**2 - 6*z What is the third derivative of -247*h*i**3 - 51*h*i**2 + h - 1652*i**6 + 9*i**2 - 16*i wrt i? -1482*h - 198240*i**3 What is the third derivative of -a**2*l**3*v**2 + 5565*a**2*l**3*v - a**2*l**2*v**2 - 20*a**2*v + a*l**2 - 4*l**2*v + v wrt l? -6*a**2*v**2 + 33390*a**2*v What is the third derivative of 97788*j**3*s**3 - 406*j**2*s + 79*j**2 + j*s**3 wrt j? 586728*s**3 What is the derivative of t**2 + 77131*t + 843217? 2*t + 77131 Find the third derivative of -394485*d**6 - d**4 + 405016*d**2. -47338200*d**3 - 24*d What is the second derivative of 179535*a**5 + 271808*a? 3590700*a**3 What is the third derivative of -811*g**3*v**3 - 62*g**3 + g**2*v + 2*g**2 + 2*g*v**3 + 3*v**3 + 63 wrt g? -4866*v**3 - 372 Find the first derivative of -2288311*p**3 + 1989994. -6864933*p**2 What is the third derivative of 3*c**6 - 7383*c**4 + 3536*c**2 - 4*c wrt c? 360*c**3 - 177192*c What is the first derivative of 446391*b**2 + 945325 wrt b? 892782*b What is the derivative of 156*r**2*x**3 - 10*r**2*x + 5*r*x**3 + 13*x**3 + 3782*x wrt r? 312*r*x**3 - 20*r*x + 5*x**3 Find the second derivative of 2*j**3*y + 6*j**2*r - 2118*j**2*y - 12*j*r*y + 19*j*y + j + 10*r wrt j. 12*j*y + 12*r - 4236*y What is the second derivative of 2176393*u**5 - 729496*u? 43527860*u**3 Find the second derivative of -55156*m**4 + 4*m**3 + 315931*m + 2 wrt m. -661872*m**2 + 24*m What is the first derivative of 47765*a**2*f - 3*a**2*j**2 + 43*a**2 + a*f + 6*f*j**2 - 211*j**2 wrt f? 47765*a**2 + a + 6*j**2 Find the third derivative of 6126159*r**4 - 42886*r**2 + 4. 147027816*r Find the second derivative of -3324*b*l**2 - 134*b*l + 164*l wrt l. -6648*b What is the second derivative of 32144*a**5 + a + 22240 wrt a? 642880*a**3 Find the third derivative of -3*g**2*k**3 - g**2*k - 1252*g**2 + g*k - 1920*k**3 - 4*k**2 wrt k. -18*g**2 - 11520 What is the second derivative of -15206*o**2 + 16*o - 764? -30412 What is the third derivative of -930458*y**3 + 2*y**2 - 82515? -5582748 Find the first derivative of -77*a*m + 3*a*z + 308*a + 19*m*z - 85*m - 55*z + 2 wrt a. -77*m + 3*z + 308 Find the third derivative of -25*h*x**4 + 48*h*x**3 - 3*h*x**2 + 4*h*x - 20*x**4 - 1323*x**2 wrt x. -600*h*x + 288*h - 480*x What is the derivative of 186232*q**2 + 295512 wrt q? 372464*q Find the second derivative of 4*j**2*z**2 + 5558*j**2*z - 2*j*z**2 - 145*z**2 - 2*z wrt z. 8*j**2 - 4*j - 290 Find the third derivative of -3*v*w**6 - 10045*v*w**4 + 2*v*w**2 + 42*v + 34*w**2 wrt w. -360*v*w**3 - 241080*v*w What is the second derivative of 26*u**4 - 2125*u**2 + 142073*u wrt u? 312*u**2 - 4250 Find the second derivative of 1582384*j**2 - 129060*j wrt j. 3164768 Find the first derivative of 9*t**4 + 3*t**3 + 23*t**2 + 270*t - 1478573. 36*t**3 + 9*t**2 + 46*t + 270 Differentiate 85626*f**2 - 29289 with respect to f. 171252*f What is the second derivative of 289*w**3 + 130*w**2 - 94332*w? 1734*w + 260 Find the third derivative of -3*u**5 + 14*u**4 + 198*u**3 + 45*u**2 - 631*u - 2. -180*u**2 + 336*u + 1188 Find the third derivative of -37785*b**5 + 30*b**2 - 2*b + 5 wrt b. -2267100*b**2 What is the second derivative of -11*f**5*x + 115*f**3*x + 26*f**2 + 34*f*x - 834*f - 18*x wrt f? -220*f**3*x + 690*f*x + 52 Find the third derivative of -44*r**5 + 3075*r**4 - 101265*r**2. -2640*r**2 + 73800*r What is the second derivative of -3*h**5*z**2 + 1900*h**5*z - 36*h*z**2 - 90*h*z wrt h? -60*h**3*z**2 + 38000*h**3*z Find the second derivative of 18988*i**3 + 60004*i wrt i. 113928*i Find the third derivative of -2*m*r**5 - 99*m*r**2 - 16415*r**5 - 100*r**2 wrt r. -120*m*r**2 - 984900*r**2 What is the derivative of 6*q**3 - 1375*q**2 - 109*q + 356961? 18*q**2 - 2750*q - 109 What is the third derivative of 442188*h**3*p - h**3 + 3*h**2 - 158*p + 204 wrt h? 2653128*p - 6 Differentiate -231336*i - 79238. -231336 Find the third derivative of -21*f**3*v**3 - 122*f**3*v**2 + 1173*f*v**3 + 461 wrt v. -126*f**3 + 7038*f Find the third derivative of -2550*x**3 + 673*x**2 - 17*x wrt x. -15300 Find the third derivative of 5*d*g*i**4 - 3*d*g*i**2 - 2*d*i**3 - 40*d*i + 480*g*i**4 + 142*g wrt i. 120*d*g*i - 12*d + 11520*g*i What is the second derivative of 6370460*g**3 - 4719177*g? 38222760*g What is the third derivative of 2549926*d**4 + 3708836*d**2 wrt d? 61198224*d Differentiate -3548566*p*s**3 - 2*s**3 - s**2 - 12379*s + 2 wrt p. -3548566*s**3 Find the second derivative of -2959*h*k**3 - 3*h*k**2 - 26*h*k + 2*h + 4*k**4 + 9*k - 13 wrt k. -17754*h*k - 6*h + 48*k**2 What is the third derivative of 546916*o**6 - 16051*o**2 + 19? 65629920*o**3 Find the second derivative of 78335*a*v**2 - 95068*a + 5*v wrt v. 156670*a What is the second derivative of 3017*b**3*l + b**3 - 2*b**2*t - 2*b**2 + 5559*b*l*t - 5*b + l wrt b? 18102*b*l + 6*b - 4*t - 4 Find the second derivative of 1709*s**5 + 121*s**2 + 2473131*s wrt s. 34180*s**3 + 242 Differentiate -10092*o**2 - 41248 with respect to o. -20184*o What is the derivative of -1994*h**3*r - 2*h*j*r + h*r**3 + 855*j*r**3 - 17*j wrt h? -5982*h**2*r - 2*j*r + r**3 What is the third derivative of -331352*v**3 - 259021*v**2 wrt v? -1988112 What is the third derivative of 2*i**4*s**3 + 5985*i**3*s**3 - 13*i**2 - 2*s**3 + 1015*s**2 + 2 wrt i? 48*i*s**3 + 35910*s**3 Find the second derivative of -1277859*x**2 - 10*x + 53251 wrt x. -2555718 Find the second derivative of -3469684*m**4 - m**3 + 3160*m + 82. -41636208*m**2 - 6*m What is the second derivative of -214486*m*o**2 + 1547690*m*o wrt o? -428972*m Differentiate 13*c*m**4 - 72*c*m**2 - 98*c + 195 with respect to m. 52*c*m**3 - 144*c*m What is the second derivative of -2*j**3 + 102399*j**2 - 150*j - 233? -12*j + 204798 What is the second derivative of o**5 + 446866*o**4 - 397033*o? 20*o**3 + 5362392*o**2 What is the third derivative of -11418*a**2*w**4 - a**2*w**3 + 14*a**2*w**2 + 11*a**2*w + 3*a**2 - 2 wrt w? -274032*a**2*w - 6*a**2 Differentiate -61591*u - 271087 with respect to u. -61591 What is the third derivative of -611*y**6 - 890*y**5 + y**3 + 25849*y**2 - 26*y wrt y? -73320*y**3 - 53400*y**2 + 6 Differentiate 41516*s**4 + 3*s**3 - 575243. 166064*s**3 + 9*s**2 Find the third derivative of 47*d**3*l**2 + 161*d**3*o + d**2 - 6*d*l**2*o - 87*d*l*o + 3*d*o wrt d. 282*l**2 + 966*o What is the second derivative of -140439*b**5 + 9482*b - 6? -2808780*b**3 Find the third derivative of -190*g**3*j**4 + 15*g**3*j**3 + 10334*g**3*j**2 wrt j. -4560*g**3*j + 90*g**3 What is the second derivative of 9*f**5 + 44*f**4 - 252*f**2 + 9714*f - 8 wrt f? 180*f**3 + 528*f**2 - 504 Find the third derivative of -12*g*l*w**3 + 145*g*l - 105*g*w**3 - g*w**2 - 1353*l*w**2 + 60*w**5 wrt w. -72*g*l - 630*g + 3600*w**2 Differentiate 275367*y - 50278. 275367 Find the third derivative of p**4*w**2 + 47*p**4 - 353*p**3*w**3 + p**2*w**3 - p**2 + 273*p*w**3 - 78*p*w**2 - 3*p*w wrt p. 24*p*w**2 + 1128*p - 2118*w**3 Differentiate 2*f*y**3 + 3*f - 168*y**3 + 4221*y**2 + 552974 wrt y. 6*f*y**2 - 504*y**2 + 8442*y Find the second derivative of 259582*n**5 - 381623*n + 3 wrt n. 5191640*n**3 What is the third derivative of -1286683*o**5 - 21301*o**2 - 66*o wrt o? -77200980*o**2 Differentiate -3*q**3 + 2*q**2 + 4621*q - 126678 wrt q. -9*q**2 + 4*q + 4621 Differentiate 236*o**3*z**4 + 1727*o**3*z**2 - 169112*o**3 wrt z. 944*o**3*z**3 + 3454*o**3*z Find the second derivative of 56405*n**3 + 156*n + 105 wrt n. 338430*n What is the first derivative of -54*v**3 + 40*v**
{ "pile_set_name": "DM Mathematics" }
when 181387 is divided by 3507? 2530 What is the remainder when 1424356 is divided by 167? 13 What is the remainder when 16821041 is divided by 186? 131 What is the remainder when 42736 is divided by 6857? 1594 What is the remainder when 1722347 is divided by 3636? 2519 What is the remainder when 56173 is divided by 966? 145 What is the remainder when 325153482 is divided by 2714? 2712 Calculate the remainder when 9309150 is divided by 1850. 1800 What is the remainder when 281918 is divided by 281907? 11 Calculate the remainder when 20869432 is divided by 17. 11 Calculate the remainder when 31886 is divided by 6228. 746 Calculate the remainder when 99154232 is divided by 138. 128 Calculate the remainder when 67593347 is divided by 3829. 10 Calculate the remainder when 837146 is divided by 242. 68 Calculate the remainder when 2804640 is divided by 73806. 12 What is the remainder when 235313 is divided by 4058? 4007 What is the remainder when 305051 is divided by 101? 31 What is the remainder when 4095333 is divided by 2566? 2563 What is the remainder when 65022 is divided by 21560? 342 Calculate the remainder when 142071 is divided by 67807. 6457 Calculate the remainder when 125953863 is divided by 528. 519 Calculate the remainder when 36227983 is divided by 47. 7 Calculate the remainder when 182857 is divided by 182705. 152 Calculate the remainder when 14506445 is divided by 31. 26 What is the remainder when 55029688 is divided by 90? 88 Calculate the remainder when 138807 is divided by 4445. 1012 Calculate the remainder when 449581 is divided by 449547. 34 What is the remainder when 77004204 is divided by 6417017? 0 What is the remainder when 20001022 is divided by 240976? 14 Calculate the remainder when 64798158 is divided by 16. 14 Calculate the remainder when 599821 is divided by 8819. 129 What is the remainder when 1138973 is divided by 1329? 20 Calculate the remainder when 48601 is divided by 12048. 409 Calculate the remainder when 3584716 is divided by 1194893. 37 Calculate the remainder when 4809050 is divided by 2907. 872 Calculate the remainder when 7467491 is divided by 414859. 29 What is the remainder when 61214553 is divided by 53? 30 Calculate the remainder when 1009450 is divided by 122. 22 Calculate the remainder when 5517743 is divided by 13828. 371 Calculate the remainder when 35339177 is divided by 5392. 9 Calculate the remainder when 636655 is divided by 603. 490 What is the remainder when 29236 is divided by 2213? 467 What is the remainder when 3514336 is divided by 169? 150 What is the remainder when 155225 is divided by 2413? 793 What is the remainder when 2081125 is divided by 30161? 16 Calculate the remainder when 194314227 is divided by 296. 291 What is the remainder when 23655967 is divided by 3679? 3676 Calculate the remainder when 20253641 is divided by 6658. 5 What is the remainder when 39793227 is divided by 437288? 19 Calculate the remainder when 283768033 is divided by 18. 13 What is the remainder when 8797 is divided by 5973? 2824 What is the remainder when 89597034 is divided by 89597018? 16 What is the remainder when 1047026 is divided by 758? 228 What is the remainder when 310903 is divided by 448? 439 Calculate the remainder when 3325242 is divided by 77. 74 What is the remainder when 1496860 is divided by 249475? 10 What is the remainder when 3027501 is divided by 1357? 34 Calculate the remainder when 3367084 is divided by 336707. 14 What is the remainder when 856243 is divided by 1479? 1381 Calculate the remainder when 95792 is divided by 47893. 6 Calculate the remainder when 45615 is divided by 45481. 134 Calculate the remainder when 15686698 is divided by 490209. 10 What is the remainder when 934357 is divided by 25? 7 Calculate the remainder when 6697074 is divided by 1715. 1714 Calculate the remainder when 81616 is divided by 657. 148 What is the remainder when 15144724 is divided by 139? 118 What is the remainder when 101759943 is divided by 136? 119 What is the remainder when 863554997 is divided by 2500? 2497 What is the remainder when 462029 is divided by 772? 373 What is the remainder when 200024839 is divided by 20? 19 What is the remainder when 2036483 is divided by 405? 143 What is the remainder when 231432 is divided by 378? 96 Calculate the remainder when 131731 is divided by 577. 175 Calculate the remainder when 1162808 is divided by 64588. 224 What is the remainder when 13584658 is divided by 90? 58 What is the remainder when 1670513 is divided by 248? 233 What is the remainder when 2528224 is divided by 3586? 94 Calculate the remainder when 359147 is divided by 219. 206 What is the remainder when 735021 is divided by 97? 52 Calculate the remainder when 21277052 is divided by 1895. 1887 Calculate the remainder when 3319562 is divided by 1382. 1380 What is the remainder when 736094 is divided by 26288? 30 Calculate the remainder when 6236493 is divided by 1559122. 5 Calculate the remainder when 543989 is divided by 7157. 57 Calculate the remainder when 947818 is divided by 125. 68 What is the remainder when 595963 is divided by 297975? 13 What is the remainder when 13683785 is divided by 29? 19 Calculate the remainder when 4806746 is divided by 82873. 112 What is the remainder when 34092316 is divided by 503? 485 What is the remainder when 60047726 is divided by 689? 687 What is the remainder when 11017314 is divided by 5508653? 8 Calculate the remainder when 153021 is divided by 18106. 8173 What is the remainder when 275565834 is divided by 9553? 9549 What is the remainder when 2404334 is divided by 480865? 9 What is the remainder when 292221 is divided by 24328? 285 Calculate the remainder when 18169007 is divided by 624. 623 What is the remainder when 6417310 is divided by 1236? 1234 Calculate the remainder when 1792650 is divided by 945. 930 Calculate the remainder when 58734 is divided by 11. 5 Calculate the remainder when 3026492 is divided by 1056. 1052 What is the remainder when 550082 is divided by 6471? 47 What is the remainder when 2521837 is divided by 174? 55 What is the remainder when 56793 is divided by 18681? 750 Calculate the remainder when 10669730 is divided by 10669720. 10 Calculate the remainder when 89891 is divided by 89861. 30 Calculate the remainder when 182994271 is divided by 1762. 1761 Calculate the remainder when 719839 is divided by 71979. 49 Calculate the remainder when 360405 is divided by 282. 9 What is the remainder when 2825587 is divided by 2825554? 33 What is the remainder when 39035 is divided by 3109? 1727 Calculate the remainder when 480320 is divided by 209. 38 What is the remainder when 1251346 is divided by 12032? 18 What is the remainder when 2393152 is divided by 1728? 1600 What is the remainder when 11030245 is divided by 486? 475 What is the remainder when 884620 is divided by 80408? 132 What is the remainder when 396706 is divided by 18032? 2 Calculate the remainder when 3023957 is divided by 3023883. 74 Calculate the remainder when 4227431 is divided by 724. 719 Calculate the remainder when 699304 is divided by 12. 4 What is the remainder when 33985 is divided by 6522? 1375 What is the remainder when 7170426 is divided by 21? 18 Calculate the remainder when 5383769 is divided by 186. 185 Calculate the remainder when 187430 is divided by 8148. 26 Calculate the remainder when 4508676 is divided by 22. 18 What is the remainder when 80962470 is divided by 53? 41 Calculate the remainder when 141857 is divided by 650. 157 What is the remainder when 17757526 is divided by 72185? 16 Calculate the remainder when 19863834 is divided by 928. 922 Calculate the remainder when 52051999 is divided by 520. 519 Calculate the remainder when 44616470 is divided by 2201. 2200 Calculate the remainder when 12181 is divided by 3990. 211 Calculate the remainder when 26744 is divided by 580. 64 What is the remainder when 207752 is divided by 69008? 728 Calculate the remainder when 71479740 is divided by 50. 40 What is the remainder when 15864 is divided by 3395? 2284 What is the remainder when 764557 is divided by 1334? 175 Calculate the remainder when 480624 is divided by 480. 144 Calculate the remainder when 28207991 is divided by 21. 14 What is the remainde
{ "pile_set_name": "DM Mathematics" }
i rounded to the nearest one hundred thousand? -300000 Let q = 8702075.9 - 8702795.91098. Let m = 720 + q. What is m rounded to three decimal places? -0.011 Suppose 275*x - 229458691 + 129370994 = 254912553. Round x to the nearest 100000. 1300000 Suppose 2*c = 2*u - 882278, c = -4*u - 317451 - 123703. Let f = c - -8841142. Round f to the nearest one million. 8000000 Let y = -2074260 - -6041260. Round y to the nearest 10000. 3970000 Let z = -144377 + 144365.00594. Let k = z + 12. Round k to three dps. 0.006 Let z = -91496.38521 - -91502.9. Let l = 0.14221 + z. What is l rounded to 1 decimal place? 6.7 Suppose -2*s = 5*s. Suppose 2*q + 71 = 5*q + 2*f, 3*q - 4*f - 83 = 0. Suppose s = 21*b - q*b - 116000. Round b to the nearest 10000. -30000 Let u = 56.588 + -56.88241. Round u to 3 decimal places. -0.294 Let i = 2730.16163 - 2711.799. Let j = i - -0.38437. Let r = j - -0.053. Round r to zero decimal places. 19 Let c = 15728 + -6717. Round c to the nearest 100. 9000 Let z be (1 + -1 + -7621)/(3/(-87)). Let i = 20009 - z. Round i to the nearest 100000. -200000 Let o = -35 - -41.7. Let z = -6.6335302 - 0.0658498. Let d = z + o. Round d to 4 dps. 0.0006 Suppose -4*a - 4*y + 5*y + 3002120 = 0, 4*a + y - 3002128 = 0. Suppose 37*h = -3211031 + a. Round h to the nearest ten thousand. -70000 Let z = -20199 + 8532. Let w = z + 17967. What is w rounded to the nearest 1000? 6000 Let f = -0.604 - 0.03. Let a = -0.584 - f. Round a to two decimal places. 0.05 Let q = -261.56 + 7.36. What is q rounded to the nearest 100? -300 Let m = -0.008 - -1169.008. Let x = -14714.4 - -13445. Let d = x + m. What is d rounded to the nearest 10? -100 Let n be -7 + (84090001 - -1 - -5). Round n to the nearest 1000000. 84000000 Let n = -39.9 - 573.1. Let f = 612.8996 + n. Let c = 0.1 + f. Round c to 4 decimal places. -0.0004 Let h = 1644.8349 - -1.7651. Round h to the nearest 10. 1650 Let c = -296 + 436. Let h be (6/5)/((-14)/c). Let p(u) = 5088*u + 56. Let b be p(h). What is b rounded to the nearest ten thousand? -60000 Let t = 124666 - -1081. Let x = 46253 + t. Round x to the nearest one hundred thousand. 200000 Let b = 319 + 492. Suppose 4*i + 1149 + b = 0. What is i rounded to the nearest one hundred? -500 Let x = -41282 - -41281.61894. Round x to 2 dps. -0.38 Let l = -5938029144 - -5938029321.99999595. Let u = -532 - -710. Let i = l - u. What is i rounded to 7 dps? -0.0000041 Let u be (-2)/28*2 - 678/(-42). Let b be -5557 - -1 - -4 - u/(-4). Round b to the nearest one thousand. -6000 Let f = -2766 - -2790. Let c = -2.7242634 - 21.2758596. Let b = f + c. Round b to five decimal places. -0.00012 Let p = 50809447 + -50809447.369999164. Let h = -0.37 - p. What is h rounded to 7 decimal places? -0.0000008 Suppose 0 = 2*t + 2*t - 12. Let j be t/(-4) - (-2111394)/(-8). Let l = 183925 + j. What is l rounded to the nearest 100000? -100000 Let u = -9 + 13. Suppose 2*g - 12759724 = -4*l, 2*g + 13547927 = 3*l + 3978141. Suppose 29930 = -u*d + l. Round d to the nearest 100000. 800000 Let q = -32673.43 - -32809. Let w = 27.6 + 107.4. Let b = q - w. Round b to one dp. 0.6 Let u = -40901 - -40901.00099645. Round u to 4 dps. 0.001 Let o = -235613.128288 + -2.671712. Let k = o - -235617.79999973. Let t = 2 - k. What is t rounded to 7 decimal places? 0.0000003 Let j = -15.094 - -15.22231. Let p = 0.1344 - j. Round p to 4 dps. 0.0061 Let l = 7.63 + -7.62981. Round l to four dps. 0.0002 Let g = -29769 + 28216.6. What is g rounded to the nearest 10? -1550 Let c = -13790.7 - -13204.97. What is c rounded to the nearest integer? -586 Suppose -12 = 4*g + 164. Let b = -42 - g. Let y be (2 - -3198)*2500/b. Round y to the nearest one million. 4000000 Let n = -4901 + 4900.994391. Round n to 4 decimal places. -0.0056 Let y = 58 - 35. Let x = y - -5. Let j = x - 28.0084. Round j to three dps. -0.008 Let z = 364 - 362.392. Let s = z - 1.608001211. What is s rounded to 7 decimal places? -0.0000012 Let w = 0.057 - 21.057. Let h = w - -20.932. Let v = h + 0.0679951. What is v rounded to 6 dps? -0.000005 Let o = 838 - 831.515. Round o to the nearest integer. 6 Let d = -9.3 + 8.525. Let s = 0.8 + d. What is s rounded to 3 dps? 0.025 Let w = 106 - 106.0229. Let f = 0.02290317 + w. What is f rounded to six decimal places? 0.000003 Let n be 649402020/(-130) + (-30)/(-195). Round n to the nearest 100000. -5000000 Suppose -15*c = 36421 + 1489379. What is c rounded to the nearest 1000? -102000 Let c = 36547490.787858194 - 28310.787912194. Let h = c - 36519217. Let z = -37 - h. Round z to five dps. 0.00005 Let x = 312482.4636264 + -312488. Let k = 0.663588 - x. Let n = k + -6.2. Round n to 6 dps. -0.000038 Let q = -10.6861479 - -0.0822579. Let d = q - -10.71. Let p = 0.107 - d. Round p to four decimal places. 0.0009 Let x = -39 + -166. Let r = x + 204.99999682. Round r to six decimal places. -0.000003 Let k = 7956.458 - 7991. Let w = -305 + 269.8. Let i = w - k. Round i to one dp. -0.7 Let x(g) = 29*g. Let c be x(0). Suppose 2*m - 5*m + 4*d - 58264 = c, -d + 58261 = -3*m. What is m rounded to the nearest ten thousand? -20000 Let p = 0.234098 - -2.228162. Let r = -2.46 + p. What is r rounded to four dps? 0.0023 Let s = -88.03 + -0.97. Let a = s - -88.963. Let i = a + -0.383. What is i rounded to 1 dp? -0.4 Let a = -127744207 + 127743629.0000897. Let l = -578 - a. What is l rounded to 5 dps? -0.00009 Let n = 287.53261 - 0.08261. Round n to zero decimal places. 287 Let b = -71190 - -71188.93294. Round b to 2 decimal places. -1.07 Let q = 12.29 + -12. Let t = -7380.7099975 - -7381. Let v = t - q. What is v rounded to 6 decimal places? 0.000003 Let g = 173981409 + -173984164.97286. Let n = g + 2756. What is n rounded to three dps? 0.027 Let i(a) = 380585*a**2 + 188*a - 2309. Let t be i(13). What is t rounded to the nearest one million? 64000000 Let u = -26623.99995429 - -26624. Round u to six dps. 0.000046 Let p = 2033.13 - 2144.9772. Let t = -0.2528 + p. Let f = t + 122. Round f to zero decimal places. 10 Suppose 1 = 8*l - 7. Let q be l + 3 + 3 + 0. Suppose q*d = 48992 + 7008. Round d to the nearest 10000. 10000 Let v be ((-4)/(-5))/((-216)/(-40) - 5). Let o(h) = -6*h - 177 + 173 + 264*h**3 + 4*h**v - 2*h**2. Let n be o(4). What is n rounded to the nearest one thousand? 17000 Suppose -14248*r + 23588 = -14246*r. Let x be (-100183)/(-3) + 2/(-6). Let u = x - r. Round u to the nearest one thousand. 22000 Let y = 78.238 + -123.16. Let u = -45 - y. Let c = u + -1.822. Round c to zero dps. -2 Let t = 1.4598 + -1.46. Let u = t + 0.2472. Round u to two decimal places. 0.25 Let n be (49245 - -5)*12576/120. What is n rounded to the nearest 100000? 5200000 Let q = 113126 - 113125.42479. What is q rounded to 2 dps? 0.58 Let j = 2.62572544525 - 192.62572543425. Let p = j + 190. What is p rounded to seven dps? 0 Let y = 598.77 + -593. Let q = 6.789 - y. Let h = 1.05 - q. What is h rounded to 3 decimal places? 0.031 Let f = -831 - -584. Let i = f - -242.47. What is i rounded to 1 decimal place? -4.5 Let s = -0.3895 + 0.38950065375. What is s rounded to 7 decimal places? 0.0000007 Let o = 65 - 64.66. Let v = 13.34 - o. Let w = 12.99999612 - v. Round w to seven dps. -0.0000039 Suppose -5*l = -h - 2601082, 0 = 8*h - 4*h + 8. Let x = l + 448784. What is x rounded to the nearest 100000? 1000000 Let q = -0.47748 - -74.61148. Let l = q + 1.837. Let c = -76 + l. What is c rounded to two decimal places? -0.03 Let q = 3661.611 - 3931.67. Let c = 271 + q. Round c to one decimal place. 0.9 Let m = 895.25 - 883. Let v = m + -12.254104. What is v rounded to four dps? -0.0041 Let j be ((-3260)/(-978))/((-2)/(843*2)). What is j rounded to the nearest one hundred? -2800 Let v = 1.01949 + -0.04573. Let w = 24.97236 - v. Let k = w - 24. Round k to three decimal places. -0.001 Let o = 343.2 - 383. Let p = -39.799959 - o. What is p rounded to 4 decimal places? 0 Let o = -0.129282752 + 0.1292. What is o rounded to 5 decimal places? -0.00008 Let c = 1175.8 + -905. Let v = 0.8 - c. Let r = v - -270.619. Round r to 1 decimal place. 0.6 Let h = -326 - -325.99038. What is h rounded to 3 decimal places? -0.01 Let w = -97943.00000060507 + 97943. Round w to 7 decimal places. -0.0000006 Let x(i) = 590*i + 275. Let h be x(91). What is h rounded to the nearest 100
{ "pile_set_name": "DM Mathematics" }
e decimal place. 0.2 Let s = -616014 - -615985.80056. Let z = 28.2 + s. What is z rounded to three decimal places? 0.001 Let a(g) = 11*g**2 - 131*g + 3948. Let z be a(62). What is z rounded to the nearest 10000? 40000 Let x = 4.522 - -0.148. Let y = x - 4.669503. Round y to four decimal places. 0.0005 Let o(f) = -f**3 + 5*f**2 + 3*f - 3. Let a be o(4). Let x = a + -27. Let b be (-10799)/(-4) - x/8. Round b to the nearest 1000. 3000 Let j = 195.882298 - -1.096502. Let z = j - 197. What is z rounded to three decimal places? -0.021 Let d = -348805870 - -348805828.4000213. Let r = 5.06 + 36.54. Let o = r + d. Round o to 5 dps. 0.00002 Let l = 41701 + -80139. Let a = 102438 + l. Round a to the nearest 100000. 100000 Let t = 53847.051384 + -0.051384. Let r = -53847.390051 + t. Let b = 0.39 + r. Round b to five dps. -0.00005 Suppose -3*h = 4*q + 7876660, 164*h + 5*q - 10502172 = 168*h. Let s = 1345889 - 2181437. Let f = h - s. What is f rounded to the nearest 100000? -1800000 Let i = -0.2685 - -0.4345. What is i rounded to two decimal places? 0.17 Let w = 307.829 - 308. Let s = -881 - -880.8006. Let l = s - w. Round l to 3 decimal places. -0.028 Let i(a) = -141714*a + 856. Let u be i(4). Round u to the nearest ten thousand. -570000 Let n = 152873 + -152874.21609. Let q = n - -1.242. What is q rounded to three decimal places? 0.026 Let y = -3839 - -6168. Suppose 5*f - 3109 = -4*o - 0*o, -3*o - f = -y. What is o rounded to the nearest one hundred? 800 Let d = 5862.7 + -5738.506. Let r = -124 + d. Round r to 2 dps. 0.19 Let l = -588 + 654.2. Let h = 18.8 + l. Let i = 85.0000043 - h. What is i rounded to six decimal places? 0.000004 Let a = -0.1125 + -0.4075. Let r = -3 + 3. Let x = r + a. Round x to one dp. -0.5 Suppose -3*q = 2*y - 3461794 + 19959809, 3*y - 2*q = -24746990. What is y rounded to the nearest one million? -8000000 Let y(v) be the third derivative of -263003*v**5/60 + v**3/2 + 3*v**2 - 3*v. Let f be y(1). What is f rounded to the nearest 100000? -300000 Let p be (3/(-4))/(1/20). Let m be (p/(-9) - 1) + 10972538/(-57). Round m to the nearest ten thousand. -190000 Let q = 117.7507 - 80.75818. Let b = -37 + q. Round b to three dps. -0.007 Let f = 6903.9 + 1444.7. Let a = 8232.6224 - f. Let m = a - -116. What is m rounded to 3 decimal places? 0.022 Let g(t) = -338670*t - 46. Let h be g(-9). Let q = h + -147984. Round q to the nearest one hundred thousand. 2900000 Let h = 870.1 - 819. Let u = -64.89 - 0.11. Let b = h + u. Round b to the nearest integer. -14 Let n be (-4 - 130429726/18) + ((-60)/12)/45. Round n to the nearest 10000. -7250000 Let u = -8540.9942 + -0.0058. Let g = u + 8541.3559. Round g to one dp. 0.4 Let q = -2564.018347 + 2564. Round q to 3 dps. -0.018 Let x(j) = 15179*j - 112. Let f = 511 + -513. Let b be x(f). What is b rounded to the nearest 10000? -30000 Let v = -532 + 541.16. Let w = v + -1.96. Round w to the nearest ten. 10 Let u be (-2 - 0)/(1/36). Let p be (450/u)/(2/8). Let s be (-6538 + -2)*p/15. What is s rounded to the nearest 1000? 11000 Let f = 190 - 92. Let x = f - 98.00626. Round x to 3 decimal places. -0.006 Let k(b) = 392681*b**3 + b**2. Let m be k(-1). Suppose 1480178 + 850544 = -4*o - 2*s, o = -5*s - 582685. Let g = m - o. Round g to the nearest 100000. 200000 Let m(k) = -82*k + 11. Let p be m(2). Let g be (-5)/(75/p) - (-8)/10. Suppose 0 = -4*z + 20, -g = -4*s + 5*z + 8. Round s to the nearest integer. 11 Suppose -6*n - 2485 = -10573. Let r = n - 514. What is r rounded to the nearest 100? 800 Let o = 8.0702 - 6.818. What is o rounded to two dps? 1.25 Let q = 156 - 108. Let i = q - -1811. Suppose i = -4*a + 17*a. Round a to the nearest 10. 140 Let d = 9648 + -9648.017293. What is d rounded to 3 decimal places? -0.017 Let y = -420.2074656538 - 0.7925722462. Let d = -421 - y. Round d to 5 dps. 0.00004 Let f = 102890 - 103023.177. What is f rounded to zero dps? -133 Let y = -45675.9 - -37026. Round y to the nearest one thousand. -9000 Let h = 171911220 - -6108780. Round h to the nearest 1000000. 178000000 Let o = 624106 - 358506. What is o rounded to the nearest ten thousand? 270000 Let z = 2954 + -3009.74. Let r = z + 56. Let x = r - 1.4. What is x rounded to 1 decimal place? -1.1 Let d = -26.7 - -26.337. Let c = d - -0.003. Let o = -0.3788 - c. What is o rounded to 2 decimal places? -0.02 Let t = 0.88724809 + -0.21724832. Let u = 0.31 + -0.98. Let x = t + u. What is x rounded to 7 dps? -0.0000002 Let k = -315.99986965 + 316. What is k rounded to 6 decimal places? 0.00013 Let q = 401 + -227. Let j = -191.029 + 1.829. Let k = j + q. Round k to the nearest integer. -15 Let f = 33 - 31. Suppose a + 26 = 3*q - 4*a, -24 = -f*q + 5*a. Suppose h - 9500 = q*h. Round h to the nearest one thousand. -10000 Let r = -389776496 + -3434672. Let p = r + 393211205.9999882. Let s = 38 - p. What is s rounded to six dps? 0.000012 Suppose -18*a + 37*a = 0. Let w(g) = 5*g + 50800000. Let q be w(a). Round q to the nearest one million. 51000000 Let d = 736.11 + -741.8799. Round d to 2 decimal places. -5.77 Suppose -41*q - 23*q + 39*q = 72382500. Round q to the nearest one hundred thousand. -2900000 Let q = 14061 + -14301.05. What is q rounded to the nearest integer? -240 Let i be (-2 - (-28)/8)/(3/(-52)). Let p = 30 + i. Suppose -20 = -p*x, 0 = -4*u + 2*x - 511 - 171. What is u rounded to the nearest ten? -170 Let q(s) = 399*s**3 - 18*s**2 - 45*s - 226. Let c be q(-22). Round c to the nearest one hundred thousand. -4300000 Suppose 69*g - 94*g + 16601025 = 0. Let l = -1111041 + g. What is l rounded to the nearest 100000? -400000 Let a = 621 - 366. Let x = a - 254.646. What is x rounded to zero decimal places? 0 Let z = 2.3924 + -3.03981. What is z rounded to 1 dp? -0.6 Let y = -8.23 + 4.9905. Let i = y + -224.7696. Let q = -228 - i. Round q to three decimal places. 0.009 Suppose -2956814 - 1714186 = 15*g. What is g rounded to the nearest 10000? -310000 Let d = 121.8 + 840.1. What is d rounded to the nearest one hundred? 1000 Let n = 5390.295 - 5375. Round n to the nearest ten. 20 Let r = 0.19152 - 0.14242. Round r to two decimal places. 0.05 Let l = -33126.0296 + 33155. Let o = -0.0704 + l. Round o to the nearest ten. 30 Let q = -2795.212 - -27.012. What is q rounded to the nearest 1000? -3000 Let t be ((-12)/20)/((-18)/584880). What is t rounded to the nearest one thousand? 19000 Let f = 95.705 - 170.67. Round f to 0 dps. -75 Let x = 35450 + -35449.99926941. Round x to four dps. 0.0007 Suppose -15*d + 11*d + 2564 = 0. Suppose 4*l + 2*b = 478, 5*l - b + 54 = d. Suppose 0*k - l = -2*k. Round k to the nearest 10. 60 Let s = 6970.0000012513 + -6970. What is s rounded to 7 decimal places? 0.0000013 Let l = -7166.94446 - -7167. What is l rounded to three decimal places? 0.056 Let t = 0.15655 + 114.32745. Let q = 18.489 - t. Let u = 96 + q. Round u to 2 dps. 0.01 Let g = -263 - -326. Let r = g - 34.6. Round r to the nearest integer. 28 Let u be (9 + -24 - 1883885)*2/(-1). Round u to the nearest one hundred thousand. 3800000 Let a = 11381 + -11381.12778. Let v = a - 35.07722. Let x = -35 - v. Round x to two dps. 0.21 Let m = 751402633 + -409574190. Let y = 341828443.153999381 - m. Let o = 0.154 - y. Round o to seven dps. 0.0000006 Let a = -41648 - -41647.938549. Round a to 2 decimal places. -0.06 Let k = -4793931 - -4794161.9827. Let b = -231 + k. Let j = b + 5.3273. Round j to 1 decimal place. 5.3 Let y = 4.773 + -4.58. Let p = 0.2075 - y. What is p rounded to two decimal places? 0.01 Let s be 8/(80/(-15))*1154. Let a be s + -3 + -2 + 8. Let i = a - -3328. What is i rounded to the nearest 1000? 2000 Let p = -2608253.90000192 + 2608256. Let a = -4.75 + 2.65. Let h = p + a. Round h to seven dps. -0.0000019 Suppose 91154 = 2*p - 11834. Round p to the nearest one hundred. 51500 Let d = 27342.9866 - 27335. What is d rounded to 0 decimal places? 8 Let q = 1346609 - 801276. Suppose -j = 5*t + 216025, -5*t - q = 5*j + 534692. Round j to the nearest ten thousand. -220000 Let c = -5828 + 5775.26. Let b = c - -0.54. Round b to the nearest ten. -50 Let u = 1084.35 + -190.05. What is u rounded to the nearest ten? 890 Let v = -273 + -3. Let h = v + 272.88. Round h to the nearest integer. -3 Let f = -25.5 - -25.403. Let b = -0.09948 - f. Round b to 4
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 31688 What is 244963320 to the power of 1/4, to the nearest integer? 125 What is the sixth root of 144384115 to the nearest integer? 23 What is 663088876 to the power of 1/7, to the nearest integer? 18 What is 1092067234 to the power of 1/3, to the nearest integer? 1030 What is the fifth root of 407501490 to the nearest integer? 53 What is the third root of 109608712 to the nearest integer? 479 What is the square root of 382906966 to the nearest integer? 19568 What is the third root of 25012858 to the nearest integer? 292 What is 5440369 to the power of 1/10, to the nearest integer? 5 What is the eighth root of 1521191865 to the nearest integer? 14 What is the sixth root of 8540564761 to the nearest integer? 45 What is 1618430772 to the power of 1/6, to the nearest integer? 34 What is 168439404 to the power of 1/5, to the nearest integer? 44 What is 1490022484 to the power of 1/2, to the nearest integer? 38601 What is the fifth root of 25728448 to the nearest integer? 30 What is 14522385 to the power of 1/3, to the nearest integer? 244 What is the third root of 77569771 to the nearest integer? 426 What is 98242714 to the power of 1/9, to the nearest integer? 8 What is the eighth root of 215238010 to the nearest integer? 11 What is 6322855934 to the power of 1/2, to the nearest integer? 79516 What is the square root of 322151462 to the nearest integer? 17949 What is the third root of 133391207 to the nearest integer? 511 What is 130652916 to the power of 1/2, to the nearest integer? 11430 What is the square root of 3044794428 to the nearest integer? 55180 What is 6160682146 to the power of 1/5, to the nearest integer? 91 What is 538675503 to the power of 1/8, to the nearest integer? 12 What is 70109636 to the power of 1/2, to the nearest integer? 8373 What is 151397090 to the power of 1/2, to the nearest integer? 12304 What is the third root of 7468587188 to the nearest integer? 1955 What is 170166909 to the power of 1/6, to the nearest integer? 24 What is 751763056 to the power of 1/7, to the nearest integer? 19 What is the square root of 34040496 to the nearest integer? 5834 What is the third root of 4822550720 to the nearest integer? 1690 What is the square root of 231397984 to the nearest integer? 15212 What is the seventh root of 1281154727 to the nearest integer? 20 What is the fourth root of 1854688714 to the nearest integer? 208 What is the eighth root of 45147161 to the nearest integer? 9 What is the sixth root of 2176954513 to the nearest integer? 36 What is the cube root of 113095443 to the nearest integer? 484 What is the third root of 35442023 to the nearest integer? 328 What is the cube root of 5213217388 to the nearest integer? 1734 What is the third root of 77498575 to the nearest integer? 426 What is the ninth root of 194286251 to the nearest integer? 8 What is 48341195 to the power of 1/3, to the nearest integer? 364 What is the square root of 617331087 to the nearest integer? 24846 What is the third root of 121309673 to the nearest integer? 495 What is the eighth root of 316786321 to the nearest integer? 12 What is 117346869 to the power of 1/7, to the nearest integer? 14 What is the eighth root of 273932508 to the nearest integer? 11 What is 73920564 to the power of 1/2, to the nearest integer? 8598 What is the ninth root of 262340509 to the nearest integer? 9 What is 49897509 to the power of 1/2, to the nearest integer? 7064 What is the third root of 715538179 to the nearest integer? 894 What is the square root of 40818808 to the nearest integer? 6389 What is the eighth root of 5846081 to the nearest integer? 7 What is the eighth root of 255144032 to the nearest integer? 11 What is the square root of 31698252 to the nearest integer? 5630 What is the square root of 764363034 to the nearest integer? 27647 What is 1567951208 to the power of 1/10, to the nearest integer? 8 What is 75411011 to the power of 1/2, to the nearest integer? 8684 What is 921967719 to the power of 1/2, to the nearest integer? 30364 What is the cube root of 146764656 to the nearest integer? 527 What is the square root of 93424305 to the nearest integer? 9666 What is 352113715 to the power of 1/3, to the nearest integer? 706 What is the fourth root of 35538118 to the nearest integer? 77 What is the fourth root of 18353830 to the nearest integer? 65 What is the third root of 124014400 to the nearest integer? 499 What is the square root of 182071871 to the nearest integer? 13493 What is the cube root of 302681326 to the nearest integer? 671 What is 764383392 to the power of 1/6, to the nearest integer? 30 What is 861365822 to the power of 1/5, to the nearest integer? 61 What is 111462228 to the power of 1/3, to the nearest integer? 481 What is 25030585 to the power of 1/3, to the nearest integer? 293 What is the cube root of 40178832 to the nearest integer? 343 What is the third root of 2501604068 to the nearest integer? 1357 What is 60844656 to the power of 1/3, to the nearest integer? 393 What is the fifth root of 7058370425 to the nearest integer? 93 What is 1291891580 to the power of 1/3, to the nearest integer? 1089 What is 113245392 to the power of 1/3, to the nearest integer? 484 What is the fifth root of 77641911 to the nearest integer? 38 What is the fifth root of 30196733 to the nearest integer? 31 What is the eighth root of 41932355 to the nearest integer? 9 What is 707847041 to the power of 1/2, to the nearest integer? 26605 What is the sixth root of 246563975 to the nearest integer? 25 What is 506439264 to the power of 1/3, to the nearest integer? 797 What is the fifth root of 5555799 to the nearest integer? 22 What is the fourth root of 14861214 to the nearest integer? 62 What is the third root of 1839784217 to the nearest integer? 1225 What is the square root of 25993940 to the nearest integer? 5098 What is 378617205 to the power of 1/5, to the nearest integer? 52 What is 175398717 to the power of 1/2, to the nearest integer? 13244 What is the third root of 6074619678 to the nearest integer? 1825 What is the third root of 127248201 to the nearest integer? 503 What is the seventh root of 5829278303 to the nearest integer? 25 What is the square root of 2028587827 to the nearest integer? 45040 What is 1207091534 to the power of 1/6, to the nearest integer? 33 What is the fourth root of 1039388154 to the nearest integer? 180 What is 2775973482 to the power of 1/2, to the nearest integer? 52688 What is the ninth root of 1546427406 to the nearest integer? 10 What is the square root of 192769527 to the nearest integer? 13884 What is 223285094 to the power of 1/2, to the nearest integer? 14943 What is the square root of 5956786270 to the nearest integer? 77180 What is the third root of 363691295 to the nearest integer? 714 What is the square root of 59694072 to the nearest integer? 7726 What is the cube root of 24634570 to the nearest integer? 291 What is the square root of 2806573124 to the nearest integer? 52977 What is the cube root of 138332126 to the nearest integer? 517 What is 412451607 to the power of 1/3, to the nearest integer? 744 What is 978504475 to the power of 1/6, to the nearest integer? 32 What is the fifth root of 155522338 to the nearest integer? 43 What is the ninth root of 193779362 to the nearest integer? 8 What is the square root of 5019773437 to the nearest integer? 70850 What is 9495595 to the power of 1/2, to the nearest integer? 3081 What is 25655261 to the power of 1/2, to the nearest integer? 5065 What is 100529166 to the power of 1/3, to the nearest integer? 465 What is the cube root of 1470224306 to the nearest integer? 1137 What is 40995074 to the power of 1/2, to the nearest integer? 6403 What is 1279683063 to the power of 1/2, to the nearest integer? 35773 What is 451930527 to the power of 1/3, to the nearest integer? 767 What is 1416931428 to the power of 1/3, to the nearest integer? 1123 What is 53553752 to the power of 1/10, to the nearest integer? 6 What is the tenth root of 870716622 to the nearest integer? 8 What is the seventh root of 2613635379 to the nearest integer? 22 What is 88875720 to the power of 1/2, to the nearest integer? 9427 What is the seventh root of 17081514 to the
{ "pile_set_name": "DM Mathematics" }
picking 1 r and 1 e. 7/13 Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeeeeeeeeeeevee. 4/5 What is prob of picking 1 c, 1 v, and 2 f when four letters picked without replacement from czvfszfzzz? 1/210 Three letters picked without replacement from ononnbo. What is prob of picking 1 o, 1 n, and 1 b? 9/35 Three letters picked without replacement from pvpvrrvvrbvpvvvbvrpv. What is prob of picking 1 p and 2 v? 3/19 Calculate prob of picking 2 b and 1 p when three letters picked without replacement from {p: 6, a: 1, i: 4, q: 2, b: 2}. 6/455 What is prob of picking 2 e and 1 l when three letters picked without replacement from {h: 2, l: 1, e: 4, v: 1, k: 3}? 2/55 What is prob of picking 2 m and 1 d when three letters picked without replacement from {z: 2, d: 2, m: 2}? 1/10 Three letters picked without replacement from {f: 1, w: 2, l: 2, x: 1}. Give prob of picking 2 w and 1 x. 1/20 Four letters picked without replacement from vvyvvyvvvvvyvy. What is prob of picking 3 y and 1 v? 40/1001 Calculate prob of picking 1 e, 2 u, and 1 a when four letters picked without replacement from eaxeuxeuuxixex. 12/1001 Two letters picked without replacement from fffffrrff. What is prob of picking 2 f? 7/12 What is prob of picking 2 z and 1 f when three letters picked without replacement from ddfffzffzffzzfz? 16/91 Two letters picked without replacement from {x: 1, w: 7, o: 3, i: 3}. What is prob of picking 2 o? 3/91 What is prob of picking 3 b and 1 a when four letters picked without replacement from {a: 2, n: 2, b: 10}? 240/1001 What is prob of picking 1 k and 1 t when two letters picked without replacement from gggckgtcgc? 1/45 What is prob of picking 2 w when two letters picked without replacement from wwlr? 1/6 Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {t: 4, g: 6}. 3/10 Two letters picked without replacement from {p: 2, f: 8, s: 2, z: 7}. What is prob of picking 2 p? 1/171 What is prob of picking 4 u when four letters picked without replacement from {u: 4, i: 10}? 1/1001 Three letters picked without replacement from {e: 3, y: 3, v: 2, a: 1, g: 1}. Give prob of picking 2 y and 1 e. 3/40 Three letters picked without replacement from mzmrmmqzzm. What is prob of picking 1 r and 2 z? 1/40 Calculate prob of picking 1 a, 1 e, 1 i, and 1 x when four letters picked without replacement from xexaillliixclececexl. 16/1615 Three letters picked without replacement from {o: 4}. Give prob of picking 3 o. 1 Two letters picked without replacement from {h: 6}. Give prob of picking 2 h. 1 Two letters picked without replacement from {h: 5, s: 2, p: 6}. Give prob of picking 2 p. 5/26 Two letters picked without replacement from bvvuabbvbbvvbuubv. Give prob of picking 1 v and 1 a. 3/68 Four letters picked without replacement from aooas. Give prob of picking 2 a and 2 o. 1/5 Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {n: 4, u: 2, m: 2, k: 3, z: 1, t: 2}. 4/91 Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {s: 5, z: 3, r: 5, l: 5, x: 1}. 5/171 Four letters picked without replacement from xqxuqxxxxxqxxq. What is prob of picking 4 x? 18/143 What is prob of picking 2 i and 1 b when three letters picked without replacement from bllbiblbi? 1/21 What is prob of picking 2 u when two letters picked without replacement from euuueueeuuezueezeeu? 28/171 Three letters picked without replacement from {e: 12, k: 3, l: 3}. Give prob of picking 3 k. 1/816 Calculate prob of picking 1 b and 1 q when two letters picked without replacement from qhlrlchlbqhh. 1/33 What is prob of picking 1 n, 1 y, and 1 i when three letters picked without replacement from mniiynmmnymvmmmyy? 3/85 Two letters picked without replacement from {p: 2, c: 2}. Give prob of picking 2 c. 1/6 What is prob of picking 1 e and 1 x when two letters picked without replacement from {c: 3, h: 2, n: 1, p: 1, e: 3, x: 3}? 3/26 Three letters picked without replacement from ntjrajntntttjjtt. What is prob of picking 1 r and 2 t? 3/80 What is prob of picking 4 d when four letters picked without replacement from uzuzuzddzdzdzu? 1/1001 Two letters picked without replacement from gezeg. Give prob of picking 2 g. 1/10 Calculate prob of picking 1 v, 1 o, and 1 i when three letters picked without replacement from uiiiouvvioouv. 18/143 Two letters picked without replacement from hhhtthtvvt. Give prob of picking 2 h. 2/15 Two letters picked without replacement from {j: 2, g: 3, n: 3, e: 2, b: 4, c: 1}. What is prob of picking 1 j and 1 e? 4/105 Four letters picked without replacement from {o: 1, m: 2, z: 4, k: 3}. Give prob of picking 1 o, 2 z, and 1 m. 2/35 Calculate prob of picking 2 h and 1 i when three letters picked without replacement from {y: 5, h: 12, i: 2}. 44/323 Four letters picked without replacement from {k: 2, e: 6, a: 1, p: 1, t: 9}. Give prob of picking 1 e and 3 t. 42/323 Three letters picked without replacement from waawaawa. What is prob of picking 1 a and 2 w? 15/56 Two letters picked without replacement from {c: 2, z: 1, a: 1, p: 5, r: 1}. What is prob of picking 1 p and 1 c? 2/9 What is prob of picking 1 f, 1 v, and 2 m when four letters picked without replacement from {e: 1, l: 1, f: 1, x: 5, m: 4, v: 1}? 6/715 What is prob of picking 3 g and 1 k when four letters picked without replacement from aaaagaaagaaaaakaaakg? 2/4845 Two letters picked without replacement from {o: 1, v: 1, k: 1}. Give prob of picking 1 v and 1 o. 1/3 Calculate prob of picking 2 h when two letters picked without replacement from hfynhfnnyyny. 1/66 Four letters picked without replacement from cclcgxxc. What is prob of picking 1 l, 2 x, and 1 g? 1/70 Three letters picked without replacement from {t: 2, b: 2, h: 9, o: 1, r: 3, s: 3}. Give prob of picking 2 t and 1 b. 1/570 What is prob of picking 4 w when four letters picked without replacement from {w: 7, e: 3}? 1/6 Two letters picked without replacement from {f: 19, r: 1}. What is prob of picking 1 r and 1 f? 1/10 Calculate prob of picking 1 u and 1 z when two letters picked without replacement from yzzzzzuzzzuzzz. 22/91 Four letters picked without replacement from qhhfqqkqhqqqhqr. What is prob of picking 1 h, 1 q, 1 f, and 1 k? 32/1365 Calculate prob of picking 2 k when two letters picked without replacement from krkkkr. 2/5 Four letters picked without replacement from cccjnjnjjjjjjjcjccj. What is prob of picking 4 j? 55/646 What is prob of picking 2 t when two letters picked without replacement from {z: 1, x: 1, t: 9}? 36/55 What is prob of picking 1 r and 1 m when two letters picked without replacement from mdrmxrrrxtrxmdmrt? 3/17 Three letters picked without replacement from rdrddddd. What is prob of picking 1 r and 2 d? 15/28 Two letters picked without replacement from {y: 11, v: 1, l: 1, u: 2}. What is prob of picking 2 u? 1/105 Two letters picked without replacement from {h: 14, i: 4}. Give prob of picking 2 h. 91/153 What is prob of picking 2 e when two letters picked without replacement from eepeeepepe? 7/15 Two letters picked without replacement from {e: 3, z: 1, c: 1}. Give prob of picking 2 e. 3/10 Three letters picked without replacement from {p: 2, f: 3, z: 4, j: 9}. Give prob of picking 2 f and 1 p. 1/136 Four letters picked without replacement from {m: 2, a: 6}. What is prob of picking 3 a and 1 m? 4/7 Calculate prob of picking 1 v, 2 g, and 1 d when four letters picked without replacement from kdvdgvggkgdkvkkd. 18/455 Calculate prob of picking 3 s when three letters picked without replacement from {l: 3, s: 11}. 165/364 Two letters picked without replacement from {c: 6, v: 2, w: 3, e: 2}. Give prob of picking 2 c. 5/26 Calculate prob of picking 1 w and 1 y when two letters picked without replacement from wwyyywwyywyyw. 7/13 Two letters picked without replacement from {k: 1, m: 4, u: 2, l: 4, y: 5}. What is prob of picking 1 l and 1 u? 1/15 Two letters picked without replacement from {w: 6, c: 3, k: 1, u: 7}. Give prob of picking 1 w and 1 c. 9/68 Three letters picked without replacement from mmvrmmurhvmhu. What is prob of picking 1 h and 2 r? 1/143 Four letters picked without replacement from {v: 6}. What is prob of picki
{ "pile_set_name": "DM Mathematics" }
0.01, 0.2, 17, 2/21 in increasing order. -2/5, 0.01, 2/21, 0.2, 17 Put 0.4, 76, -0.3, -1/4 in descending order. 76, 0.4, -1/4, -0.3 Put 0, -3, 24, -49 in descending order. 24, 0, -3, -49 Put -5, -1, -1144, 1 in increasing order. -1144, -5, -1, 1 Put -0.2, 5, -3, 2 in decreasing order. 5, 2, -0.2, -3 Sort 0, -11, -2 in increasing order. -11, -2, 0 Sort 4, -2, -388 in decreasing order. 4, -2, -388 Sort -4, -86, 3 in descending order. 3, -4, -86 Sort 122, 3, 1 in ascending order. 1, 3, 122 Sort 3/80, 26, -4, -3 in decreasing order. 26, 3/80, -3, -4 Put 2, 5, 55 in descending order. 55, 5, 2 Put 0.5, 3, -3/2, 2/17 in decreasing order. 3, 0.5, 2/17, -3/2 Sort 0.5, -8, -133. -133, -8, 0.5 Put -92, 2, 2/5 in ascending order. -92, 2/5, 2 Put 90, -3, -2, -5 in descending order. 90, -2, -3, -5 Put 1, -46, -2/11 in ascending order. -46, -2/11, 1 Put 0, -4, 4 in descending order. 4, 0, -4 Sort -1, 4, -0.026. -1, -0.026, 4 Sort 5, -2, 3, 0, 1 in ascending order. -2, 0, 1, 3, 5 Put -0.16, -0.2, -3 in descending order. -0.16, -0.2, -3 Put 0.207, 5, -1.4 in ascending order. -1.4, 0.207, 5 Sort 2, 41, 5. 2, 5, 41 Sort -1, -3, 3, -0.4, 1.69 in decreasing order. 3, 1.69, -0.4, -1, -3 Put 47, 0, 1, -41 in decreasing order. 47, 1, 0, -41 Sort 5, -5, 37, 17, -4 in decreasing order. 37, 17, 5, -4, -5 Sort -3, -1, -746, 4. -746, -3, -1, 4 Sort 46, -7, 6 in descending order. 46, 6, -7 Put 0, 1/7, 33, -1 in ascending order. -1, 0, 1/7, 33 Sort -3, 3, -6. -6, -3, 3 Put 0, 242, -2, 1 in decreasing order. 242, 1, 0, -2 Sort 0.1, 1, -2, -361 in descending order. 1, 0.1, -2, -361 Sort -3, 0, 83, 1, -2. -3, -2, 0, 1, 83 Sort -2/45, 1/6, -3/7 in decreasing order. 1/6, -2/45, -3/7 Sort 2/3, -19, -3/5. -19, -3/5, 2/3 Sort 3, 2, 1, -3. -3, 1, 2, 3 Put 4, 0.4, 698 in descending order. 698, 4, 0.4 Put 0.3, 4/7, 5/2, 1, -5 in ascending order. -5, 0.3, 4/7, 1, 5/2 Sort -3, 2, 3, -2. -3, -2, 2, 3 Sort 5, -5, -10, -5/4, 1 in descending order. 5, 1, -5/4, -5, -10 Put -20, -0.3, 4, 3/22 in increasing order. -20, -0.3, 3/22, 4 Sort -42, -0.2, 0, -2/287. -42, -0.2, -2/287, 0 Sort -4, -1, 0 in decreasing order. 0, -1, -4 Sort 5, 3, -2, 12 in decreasing order. 12, 5, 3, -2 Put -8, -98, 2 in descending order. 2, -8, -98 Sort 2/9, 4, -9 in descending order. 4, 2/9, -9 Sort 3, -70, -3. -70, -3, 3 Sort 5, 4, 31, 3, -1 in increasing order. -1, 3, 4, 5, 31 Put -4, -4/7, 2/19 in descending order. 2/19, -4/7, -4 Put -3, -4, 34, -2 in decreasing order. 34, -2, -3, -4 Put -61, 5, 4 in descending order. 5, 4, -61 Sort 1/5, 0.4, 1/131, 2 in descending order. 2, 0.4, 1/5, 1/131 Sort 6, 5, -4 in descending order. 6, 5, -4 Put 13, -1, 6 in increasing order. -1, 6, 13 Put -0.5, 0.2, -0.02, 6, -2 in decreasing order. 6, 0.2, -0.02, -0.5, -2 Put -0.03, -0.4, 3, 5 in decreasing order. 5, 3, -0.03, -0.4 Put -6/5, 10, 3, 4 in descending order. 10, 4, 3, -6/5 Sort -2/109, -22, -3 in increasing order. -22, -3, -2/109 Sort 0.5, 8/17, 0.1, 12. 0.1, 8/17, 0.5, 12 Put 4, -3, 12, -5, 1 in decreasing order. 12, 4, 1, -3, -5 Put -2, -4, 2, -35 in descending order. 2, -2, -4, -35 Sort -3, -413, 4, -1, 2. -413, -3, -1, 2, 4 Put -2/9, 4, 3, 0.2, 0.5 in decreasing order. 4, 3, 0.5, 0.2, -2/9 Sort -3, 535, 0.1, 0.4, -0.1 in decreasing order. 535, 0.4, 0.1, -0.1, -3 Put -3, 9, 3, 4 in descending order. 9, 4, 3, -3 Sort 2, 5, -2 in descending order. 5, 2, -2 Sort -0.4, -0.2, 0.5, 205, -4/7 in increasing order. -4/7, -0.4, -0.2, 0.5, 205 Sort 9, 70, 3 in ascending order. 3, 9, 70 Sort 7, -4, 3, 4 in decreasing order. 7, 4, 3, -4 Put -1, -9, 0.03 in ascending order. -9, -1, 0.03 Sort 1, -7, -43, -12 in ascending order. -43, -12, -7, 1 Put -7, -0.2, -3, 0.081 in descending order. 0.081, -0.2, -3, -7 Put 109, 5, 16 in ascending order. 5, 16, 109 Sort -1, 77, 2, -3 in increasing order. -3, -1, 2, 77 Put 17, 8, -5 in ascending order. -5, 8, 17 Put 58, 2, -123 in decreasing order. 58, 2, -123 Put -2/15, 1, 0.2, 3 in decreasing order. 3, 1, 0.2, -2/15 Sort -3, -4, -0.3, -0.1, -2/13. -4, -3, -0.3, -2/13, -0.1 Sort -1/3, 1.1, 4. -1/3, 1.1, 4 Sort 2/5, 177, -0.1, 4, -0.4. -0.4, -0.1, 2/5, 4, 177 Sort 0.32, 2, -3, -1/4 in decreasing order. 2, 0.32, -1/4, -3 Put 5, -2, 2, -82 in decreasing order. 5, 2, -2, -82 Sort 10, 0, 22. 0, 10, 22 Sort -0.34, -0.5, -4, 5 in descending order. 5, -0.34, -0.5, -4 Sort -14, 1/13, -4. -14, -4, 1/13 Sort -13, 116, 4. -13, 4, 116 Put -5, -9, 19 in decreasing order. 19, -5, -9 Sort -224, 3, -1 in descending order. 3, -1, -224 Put 0, 1, -4, 4 in descending order. 4, 1, 0, -4 Put 4, -5, 1, -455, -1 in decreasing order. 4, 1, -1, -5, -455 Sort -10, 0.2, -0.4, 0.04, 0.5. -10, -0.4, 0.04, 0.2, 0.5 Put -2/5, 3, 5/6, 3/5 in decreasing order. 3, 5/6, 3/5, -2/5 Sort 2/13, 0.1, 2.4, -5 in descending order. 2.4, 2/13, 0.1, -5 Sort -2, 1, -57 in decreasing order. 1, -2, -57 Put 5, 4, -10 in descending order. 5, 4, -10 Sort 1/7, 1/2, -3, 4 in decreasing order. 4, 1/2, 1/7, -3 Put -9, -4, -101 in descending order. -4, -9, -101 Put 11, -3, -4, 1/4, -2 in descending order. 11, 1/4, -2, -3, -4 Sort 203, 0, 3, 1 in ascending order. 0, 1, 3, 203 Sort -15, 5, -1, -2 in descending order. 5, -1, -2, -15 Sort 5, 85, -3 in increasing order. -3, 5, 85 Sort -2, 8, 4, -4. -4, -2, 4, 8 Put -4, 1/2, 42, -3 in ascending order. -4, -3, 1/2, 42 Put 2/11, -0.8, -1/4, 3 in descending order. 3, 2/11, -1/4, -0.8 Sort 0, 21, -1 in increasing order. -1, 0, 21 Put -35, 0.3, -1, 4 in decreasing order. 4, 0.3, -1, -35 Sort 2, -1, 24. -1, 2, 24 Sort 0, -0.1, 1066 in increasing order. -0.1, 0, 1066 Put -2/13, -0.4, 1, -2/9 in descending order. 1, -2/13, -2/9, -0.4 Sort 15, 2/7, 4, 0.3 in descending order. 15, 4, 0.3, 2/7 Sort 0.5, -1, 1.1, 4/59 in descending order. 1.1, 0.5, 4/59, -1 Sort -1/2, 50, 5. -1/2, 5, 50 Put -5, 3/5, 14, 12 in decreasing order. 14, 12, 3/5, -5 Put 113, -1, 4, -3 in decreasing order. 113, 4, -1, -3 Put -3, 0, -1, -5 in decreasing order. 0, -1, -3, -5 Sort -2, -6, -8 in descending order. -2, -6, -8 Put -46, -8, 4 in decreasing order. 4, -8, -46 Put -0.1, 0.3, 97, 0 in decreasing order. 97, 0.3, 0, -0.1 Sort 3/4, 3, 0.053. 0.053, 3/4, 3 Sort -5, -246, 3, -4, -2 in decreasing order. 3, -2, -4, -5, -246 Sort 4, 5, 7, 1 in descending order. 7, 5, 4, 1 Put -4, 3, 4, -25 in decreasing order. 4, 3, -4, -25 Sort -0.4, 2/3, 3/140. -0.4, 3/140, 2/3 Sort -18, 2, 1/6, -2 in increasing order. -18, -2, 1/6, 2 Sort 1, 0.32, 69/5 in increasing order. 0.32, 1, 69/5 Put 19, -4, 5, 8, -5 in ascending order. -5, -4, 5, 8, 19 Sort 2, 282, 0 in increasing order. 0, 2, 282 Sort -3/7, 7/6, -4. -4, -3/7, 7/6 Put 0.188, 1, -7/5, 2 in increasing order. -7/5, 0.188, 1, 2 Put 3, 5, -12 in decreasing order. 5, 3, -12 Put 2/11, 1, -15, 0.02, -4/7 in descending order. 1, 2/11, 0.02, -4/7, -15 Put 0, -10, 53, 3 in decreasing order. 53, 3, 0, -10 Sort -5, 23, 4 in increasing order. -5, 4, 23 Sort -3, 7, -15. -15, -3, 7 Sort 4, 3, 2 in increasing order. 2, 3, 4 Sort -5, 5, -165, -1, 0 in descending order. 5, 0, -1, -5, -165 Sort -41, 4, -5 in ascending order. -41, -5, 4 Put 5, -4, -250/7 in descending order. 5, -4, -250/7 Sort -1, -1/4, -3, -55, -2 in descending order. -1/4, -1, -2, -3, -55 Sort -4, 29, -2/5, 0.5. -4, -2/5, 0.5, 29 Put 4, -1, -4/5, 1/2 in increasing order. -1, -4/5, 1/2, 4 Sort -23/3, -2/59, 2/5, 5, 6/7 in increasing order. -23/3, -2/59, 2/5, 6/7, 5 Sort 0, 4, -2, -12, 148. -12, -2, 0, 4, 148 Sort 0, 135, -5, -3, 5 in increasing order. -5, -3, 0, 5, 135 Put -18, 2, -1 in ascending order. -18, -1, 2 Put 4, 1, -22 in decreasing order. 4, 1, -22 Put 0, -2, 36, -5 in decreasing order. 36, 0, -2, -5 Sort 4, 0, -1/18 in increasing order. -1/18, 0, 4 Sort 21, 4, -4, 3 in descending order. 21, 4, 3, -4 Sort -0.01, 4.2, -4 in ascending order. -4, -0.01, 4.2 Put -4, 5, 18, 1 in decreasing order. 18, 5, 1, -4 Put -3/2, -0.4, 16/5 in decreasing order. 16/5, -0.4, -3/2 Sort -1/4, -2/3, -0.1, -4 in descending order. -0.1, -1/4, -2/3, -4 Sort -211, -0.3, 1 in decreasing order. 1, -0.3, -211 Put 3, 2/11, -2/7, 4, 0.2 in descending order. 4, 3, 0.2, 2/11, -2/7 Sort -0.1, 5, 4, -1.7 in increasing order. -1.7, -0.1, 4, 5 Sort -2/5, 70, 1/5 in decreasing order. 70, 1/5, -2/5 Put -1, -3, 3/2, -3/5 in decreasing order. 3/2, -3/5, -1, -3 Sort 77, -4, 0. -4, 0, 77
{ "pile_set_name": "DM Mathematics" }
+ 4*x - 4*x)*(-62 + 69 + 857) + (2*x - 4*x + 4*x)*(2 - 2 - 2 + (1 - 4 + 2)*(1 + 1 - 3)) in the form h*x + k and give h. -1730 Rearrange (-5 - 12 + 9)*(2*x**2 + 7*x**2 - 3*x**2)*((-1 + 3 - 3)*(-120*x**2 - 3376*x + 3376*x) - x**2 - 2 + 2) to f*x**4 + s*x + g + r*x**3 + l*x**2 and give f. -5712 Rearrange (-4*h + 3*h + 0*h)*(-2 + 2 + 1)*(-2044 + 119*h + 2044)*(-27 - 22 + 16) to the form a + z*h + m*h**2 and give m. 3927 Express 222*x**3 - 254*x**3 + 31*x + 2*x**2 - 2*x**4 - 23*x in the form t*x + z + p*x**4 + i*x**3 + n*x**2 and give n. 2 Express (8*w - 51 + 51)*((-12 + 13 + 17)*(2*w - w + 0*w) - 2*w - 2*w + 2*w) as i*w + t + h*w**2 and give h. 128 Rearrange 2478*j + 3104*j + 1509*j - 949*j to k*j + r and give k. 6142 Express -4685*b - 3740*b - 15433*b as h*b + f and give h. -23858 Express (-6 - 2 - 2 + 4)*(99090*r**2 - 24 - 99093*r**2 - 32) as m*r + x*r**2 + q and give q. 336 Express -61*f**4 + 2*f**2 - 1 + 2 - 1813*f + 1815*f as b*f**2 + w*f**3 + r*f**4 + s + p*f and give p. 2 Express ((2 - 3 + 2)*(1 - 6 + 3) + 14 - 3 + 3 + 2 + 2 - 5)*(57*s**3 - 23*s**3 + 6*s**3) as v + k*s**3 + i*s**2 + p*s and give k. 440 Express (3*l**2 + 44*l**2 + 14*l**2)*(l - 2*l + 0*l)*(-4 + 2 + 6)*(-l + 0 + 0) as p*l**2 + d*l + m*l**3 + y + u*l**4 and give u. 244 Rearrange 2 - p**3 - 2 + (-3 + 3 + 4*p**3)*(2631 - 97 + 840) to the form l + z*p**3 + t*p**2 + u*p and give z. 13495 Express ((-1 + 1 - u)*(0 + 1 + 3) + 1 + 2*u - 1)*(-6*u + 773*u - 153*u)*(-3 + 3 - 2) as d*u**2 + b + l*u and give d. 2456 Rearrange -13*z**3 - 9*z + 1 + 3*z**2 + 12*z**3 - 122117*z**4 + 122119*z**4 to d*z**3 + y*z**4 + u*z**2 + w*z + l and give u. 3 Rearrange -79*m**2 - 182*m**2 + 43*m - 19*m - 22*m to the form a + f*m + d*m**2 and give f. 2 Express 2*i**3 + 4*i**3 - 2*i**3 + (-137*i**2 + 32*i**2 + 37*i**2)*(-1 + 1 + 6*i) as l*i**2 + j*i + f*i**3 + d and give f. -404 Express 7*j**2 + 11*j**3 - 1522 - 1519 + 3041 - 8*j**4 as l*j**3 + p*j + f + k*j**4 + x*j**2 and give l. 11 Rearrange (-2 + 2 + 2 + (-4 + 5 + 1)*((-2 - 3 + 4)*(-1 + 1 - 1) - 1 + 1 - 2) - 21 - 4 - 8)*(-4 + 4 + y) to c + z*y and give z. -33 Express (-45*o - 161*o - 177*o)*(-2*o**3 - o**3 + 5*o**3)*(0 - 2 - 1) in the form j*o**3 + l*o + f*o**2 + x*o**4 + i and give x. 2298 Rearrange 122767*u**2 - 237101*u**2 + 122154*u**2 to the form d*u + x + r*u**2 and give r. 7820 Rearrange 688*w - 3*w**2 + 669*w - 287*w - 24*w to y + j*w + s*w**2 and give s. -3 Express -51*x**2 + 1249*x - 10 - 1247*x + 2*x**2 as n*x**2 + q + l*x and give n. -49 Express -440*h - 35*h**3 + 3 + 439*h - 18*h**4 + 19*h**4 as q*h**4 + o*h**3 + p*h + g + d*h**2 and give q. 1 Express 1960*v - 4886*v - 11900*v - 2368*v in the form x + y*v and give x. 0 Rearrange 1113*s**3 + 260*s**2 - 101*s**2 - 1329*s**3 - 1412*s**3 - 160*s**2 to w + f*s**3 + i*s + g*s**2 and give f. -1628 Express -850*z + 355*z + 2805*z + 2535*z + 320*z as c*z + n and give c. 5165 Rearrange 2 - 2 - w + (17 - 2 - 2)*(-2 - 2*w + 2 + 6*w + 0*w - 5*w + (3 - 5 + 0)*(2*w - w + w) - 7*w - w + 4*w) to i + c*w and give c. -118 Express 31*k + 30*k - 38*k + 3*k + 6*k + 2*k + (-3 - 4 + 5)*(3*k - 3*k + 5*k) as w*k + b and give w. 24 Rearrange (-4 + 4 - 5)*(4028*g**2 - 4028*g**2 - 3260*g**3)*(5 - 5 + 5) to l*g + f + m*g**2 + h*g**3 and give h. 81500 Rearrange (5*c - c - 2*c)*(c + 1 - 1)*(22*c**2 - 1962*c + 1957*c - 315 + 318) to i*c**3 + l*c**2 + d*c**4 + g + m*c and give d. 44 Express (-n + 20*n + 5*n)*(-19026 - 469*n**2 + 19026) in the form r*n + d*n**3 + x + i*n**2 and give d. -11256 Express 637*z - 274*z + 1282*z - 3 + 400*z + 804*z as h*z + b and give h. 2849 Express (-456*u - 10244 - 493 - 16356 + 454*u)*(2 - u - 2) in the form c*u**2 + m + w*u and give c. 2 Rearrange -2195 + 93*n + 94*n + 87*n + 95*n - 372*n to i*n + z and give z. -2195 Rearrange -6809*a - 12344*a + 3033*a to the form r + c*a and give r. 0 Rearrange (-12031*c - 1 + 21426*c - 3737*c + 0)*(0*c + 3*c - c) to t*c + b + l*c**2 and give b. 0 Rearrange -468 + 84*h - 465 + 934 + (1 - 2 - 2)*(57 - 57 + 3*h) to the form l + t*h and give t. 75 Rearrange (-108 + 108 + 14*k)*(-4 - 3 + 3)*(1 + 2 - 5 + (-7 + 6 + 10)*(3 + 1 - 3)) to u + t*k and give t. -392 Rearrange -6856*r - 5128*r - 2424*r + 2120*r + 1507*r to the form f*r + g and give f. -10781 Rearrange -5795*o - 2 - 19 + 24 - 3 to z + h*o and give h. -5795 Express (-3*n**3 - 2*n**3 + 4*n**3)*(-73 + 76339*n + 153 + 5524*n + 27408*n - 80) as c*n**4 + k*n + s*n**2 + y + j*n**3 and give c. -109271 Rearrange 0*u**2 + 321*u + 15 - 3*u**4 + 16*u**3 - 319*u + 0*u**2 + 55*u**3 to the form m + s*u + i*u**2 + x*u**4 + f*u**3 and give x. -3 Rearrange 28 + t**2 + 4*t + 2*t**3 - 15667*t**4 + 47001*t**4 - 15665*t**4 - 15667*t**4 to the form q + l*t**3 + d*t**4 + c*t**2 + m*t and give q. 28 Rearrange -2*z + z**2 + 1324759*z**3 - 1321660*z**3 + z to the form l*z**3 + g + t*z + j*z**2 and give j. 1 Express -133*o + 132*o - 282*o - 87*o - 275*o in the form t + w*o and give t. 0 Express d**2 + 2*d - 302 - 57*d**2 + 72*d**2 as g*d**2 + r + z*d and give z. 2 Express -26*s + 2401*s**2 + 2 + 2363*s**2 - 730*s**2 + 44*s - 19*s in the form w*s**2 + t + p*s and give w. 4034 Rearrange -5808*q - 370*q + 702*q - 1219*q - 6599*q to the form d*q + w and give d. -13294 Express -269*m**2 + 3*m**3 + 13953 - 13953 in the form j*m**3 + o*m**2 + r*m + y and give j. 3 Express r**2 + 2*r**3 - r + 18*r**2 - 2*r - 4 + 4*r - 4*r as u*r**3 + m + g*r**2 + o*r and give g. 19 Rearrange 154 - 316 + 3038*w**2 + 162 to the form j + q*w + i*w**2 and give i. 3038 Rearrange 112 + 213*h**2 - 110 + 91*h**2 + 167*h**2 + h to the form j*h + v + t*h**2 and give t. 471 Express 16*t - 6586*t**2 - 5362*t**2 - 16*t as j*t**2 + q + a*t and give j. -11948 Rearrange (1975*p - 85 + 1979*p - 3956*p)*(2 + 4 - 8) to j*p + q and give j. 4 Express 130*w**4 - 29*w + 27*w - 29 + 6 - 171*w**4 as r*w**3 + j*w**2 + t*w**4 + k*w + u and give u. -23 Rearrange (0 + z + 0)*(-4 + 2 - 3 + (-5 + 1 + 3)*(-5 + 5 + 2) - 362 - 91 - 6) to the form j + w*z and give j. 0 Express 24*k**2 + 90*k**2 + 4633*k - 4638*k as f + a*k**2 + z*k and give z. -5 Express ((2 + 0 + 0)*(0*q + 2*q - q) + 3*q - 7*q - 5*q)*(39 + 19 + 26) as a*q + r and give a. -588 Rearrange (-i - 3*i + 2*i)*(0 - 2 - 1)*((-5 + 2 + 1)*(2 - 4 + 1) + 3 + 1 - 3)*(-217 + 4912 + 241) to the form y + s*i and give s. 88848 Rearrange 1012 - 517 - 505 - 10*t - 2*t**2 to o*t + b*t**2 + i and give b. -2 Rearrange 447*i**3 + 613822*i + 3*i**2 - 613821*i + 0 + 0 to the form t*i + s + c*i**2 + b*i**3 and give b. 447 Express 2*t**3 - 7*t**2 - 3*t**3 - 30 + 19*t**4 - 30*t**4 + 31*t**4 - 18*t**4 - 4*t in the form u*t**4 + y + z*t**3 + j*t**2 + b*t and give z. -1 Express 43 - 142 - 41686*p + 99 in the form y + h*p and give h. -41686 Express c - 1 + 1 + 0 + 0 - 2*c + (-4*c - c + 2*c)*(-3 + 1 + 3) + (3 + 0 - 1)*(-3*c + 3*c + c) - 2178 + 95*c + 2178 in the form o*c + f and give o. 93 Express -561 + 0*p**3 - p**4 + 3*p**3 + 550 - p**2 - 24*p in the form d*p**2 + j*p + g*p**3 + k*p**4 + y and give k. -1 Express -4*v**4 + 9*v - 1133*v**3 + 1151*v**3 - 4 + 5 as w*v + r*v**2 + c + y*v**3 + x*v**4 and give c. 1 Express (-58*j + 58*j + 92*j**2)*(35*j + 85*j - 12*j) in the form r*j**3 + h*j**2 + s + a*j and give r. 9936 Express ((2 + 1 - 9)*(1 + 8 + 3)*(-1 - 2*v + 1) + (4*v - 3*v - 2*v)*(2 - 3 + 0))*(-5*v + 3*v + 3*v)*(-6 + 1 + 1) as l*v**2 + f + u*v and give l. -580 Rearrange 325 + 3*b**2 - 58 - 2*b**2 + 341 to the form d*b**2 + z + g*b and give z. 608 Rearrange 79 - 158 + 5720*g + 79 to the form x + w*g and give w. 5720 Express (-57 - 285 - 227 + 108 - 212)*(2*k + 3*k - 4*k) as d*k + y and give d. -673 Rearrange -32 + 28*b**2 - 110*b**2 + 83*b**2 + 2*b**3 - 5*b + 16 to the form j*b + d*b**2 + o + f*b**3 and give f. 2 Express 215*u**3 + 40*u - 24*u - u**4 - 7*u**2 - 214*u**3 - 15*u + 2 in the form h*u**2 + c*u**4 + i*u + m*u**3 + z and give m. 1 Express 2*n + 55*n + 1269*n**2 - 59*n as q*n + s*n**2 + m and give s. 1269 Rearrange 5*n**3 - 3*n**2 + 6*n**2 - 2*n**2 - 8 - 5*n**4 + 4*n**4 to c*n**4 + t + r*n + m*n**2 + q*n**3 and give m. 1 Express -3*y + 83*y**3 + 85*y**3 - 289*y**3 - 10*y**2 + 88*y**3 as a + w*y**3 + q*y**2 + r*y and give w. -33 Express 28*p - 48*p + 13*p + 21*p**2 + 5*p**2 + 23*p as t + j*p + w*p**2 and give w. 26 Express (-1763*m - 3 - 194*
{ "pile_set_name": "DM Mathematics" }
- g. Round m to 1 decimal place. -0.3 Suppose -21 = -5*w - 1. Let p(n) = -3*n**2 + 39*n + 124. Let m be p(-3). Let i be w/m - (-16400002)/10. What is i rounded to the nearest 100000? 1600000 Suppose -6898803 = 2*t - c, -11*t - 28*c = -27*c + 37943397. Round t to the nearest 10000. -3450000 Let d = -0.046 - 340.954. Let g = 336.73 + d. What is g rounded to 1 decimal place? -4.3 Let l = 255 + -254.99951928. What is l rounded to four decimal places? 0.0005 Suppose 17*t + 356109 = 2332988. Let f be (6/2 - 1) + 41285. Let m = t - f. Round m to the nearest 10000. 80000 Let m = -4970.3152 + 4969. Round m to 1 decimal place. -1.3 Let m be ((-36)/7 - (-4)/28)/((-54)/14489280). What is m rounded to the nearest 10000? 1340000 Let p = 19491.8 - 19484.0023. What is p rounded to one decimal place? 7.8 Let a = -0.0179196 + 0.02144. Round a to five decimal places. 0.00352 Let x = 3814919 + -2678874. Suppose 3*a - y + 1932132 = 0, -3*y = 5*a - 8*y + 3220210. Let d = x + a. Round d to the nearest 100000. 500000 Let t(s) = -82257*s + 60. Let m be t(-9). Let r = 2420373 - m. Round r to the nearest 100000. 1700000 Let p = 4041.346895 - 4040.8. Let w = p - 0.016721. Let z = -0.53 + w. What is z rounded to 5 decimal places? 0.00017 Let y be 978544600/150 + ((-1)/3)/(-1). Let j = y + 4446369. Round j to the nearest one hundred thousand. 11000000 Let b = -56.61 + 56.61014502. What is b rounded to 6 dps? 0.000145 Suppose 16*i = 20*i - 626048. Let u = 304312 - i. Round u to the nearest 1000. 148000 Let j = 141 - 114. Let q = 44.1 + j. What is q rounded to zero decimal places? 71 Let x = -149.8 + -0.2. Let o = 318 - 171.48. Let y = x + o. What is y rounded to one decimal place? -3.5 Let y = -239 + 216.7. Let b = -22.2134 - y. What is b rounded to 2 dps? 0.09 Let r = 178 - 36. Let x = r - 142.241. Round x to two dps. -0.24 Let g = -12 - -5. Let y(v) = -3 - 2*v - 3*v + 16*v. Let h be y(g). Round h to the nearest 10. -80 Let j(p) = -319998*p - 28. Let o be 4 + 1*(-1 - 1) - -13. Let x be j(o). Let g be 11/(-4) - -3 - x/8. What is g rounded to the nearest one million? 1000000 Let r = 334910 - 334889.0761. What is r rounded to zero dps? 21 Suppose 3*a = -5 - 145. Let i = a + 52. Suppose -o = i*z - 154722 - 179274, z - 166992 = -2*o. What is z rounded to the nearest one hundred thousand? 200000 Let o = -8619 + 14312.2. What is o rounded to the nearest one thousand? 6000 Suppose 26*a - 24*a = -110. Let j = 49 + a. Let d be 1766*906/(-4) - (-5 - j). Round d to the nearest one million. 0 Let h = 579.3 - -118.15. Let o = -647 + h. Let d = o - 51. Round d to one dp. -0.6 Let l = 56261345 + -56261251.9999504. Let c = 200 + -293. Let q = l + c. What is q rounded to five dps? 0.00005 Suppose 4*w + c + 39 = -0*c, -3*c - 9 = 0. Let g = -10 - w. Let p(u) = -75*u + 6. Let d be p(g). Round d to the nearest 10. 80 Let t = -77 + 188. Let m = -7.6 - t. Round m to 0 decimal places. -119 Let k = 51.956 - 28.562. What is k rounded to the nearest ten? 20 Let c = -6.125 + 1.84. Let f = c - 204.815. Let m = -226 - f. What is m rounded to 0 decimal places? -17 Let w = 1.94 - 1.99. Let j = 14.25 + w. Round j to the nearest integer. 14 Let d = -2080.0152 + 0.0152. Let m = d + 2079.99994017. Round m to five decimal places. -0.00006 Let p = -2.8268627 + 2.8248. What is p rounded to five decimal places? -0.00206 Let f be (6732/16)/(126/348600*(-10)/12). Round f to the nearest 10000. -1400000 Let h = -9.247 - -307.807. Let a = h + -303. Round a to 0 decimal places. -4 Let i = 11819.8 - 9729. Round i to the nearest 1000. 2000 Let c = -254.06 - -265.721. Let r = 11.665903 - c. What is r rounded to 4 decimal places? 0.0049 Let k = -952027642.1 + -120948136.9. Let f = k + 1072975740.99999835. Let l = -38 - f. What is l rounded to 7 dps? 0.0000017 Let p = 231.1 + -213. Let o = p - 18.836. Round o to one dp. -0.7 Let y = 100521.077 - 100443. Let w = 78 - y. Round w to three dps. -0.077 Let g = 6635.9997341 - 6636. What is g rounded to 4 decimal places? -0.0003 Let s = -25.434 + 25. Let k = s + 0.434000045. Round k to 7 dps. 0 Let p = 147 - 260. Let l = -112.926 - p. What is l rounded to three decimal places? 0.074 Let b(c) = -2*c + 1. Let r be b(8). Let w be 60/(-2)*((-1115)/r - 8). What is w rounded to the nearest 100? -2000 Let k = -445 - -626. Let o = k + -181.00000097. What is o rounded to six dps? -0.000001 Let h = 0.4 + -0.391. Let v = h - 0.006. Let n = 0.0013 - v. What is n rounded to three dps? -0.002 Let r = -18.5298715 + 18.528. Round r to three decimal places. -0.002 Let m = 105208189 - 196088189. Round m to the nearest 1000000. -91000000 Let m(a) = -873*a - 10. Let q be m(-2). Let w be 1930/(-2 + 0) - 1. Let l = w + q. Round l to the nearest one hundred. 800 Let q = 1.172 + -0.96. Let w = 0.018 + q. Round w to one dp. 0.2 Let n(t) = 902*t**2 + 9*t - 33. Let u be n(-11). Suppose 2*p - u = 8*b - 6*b, -163505 = 3*b - p. Round b to the nearest 1000. -55000 Let n(l) = -47170*l + 20. Let x = 20 + -41. Let u be ((-24)/14)/(6/x). Let d be n(u). Round d to the nearest ten thousand. -280000 Let g = -320.83 + 78.86. Let q = g + 242. What is q rounded to one decimal place? 0 Let x = -1863 - -1862.9032. What is x rounded to two dps? -0.1 Let r(c) = -2*c**2 + 11*c + 8. Let l be r(6). Suppose 6*g - 9*g + 23030000 = x, -l*g = 4*x - 92120000. What is x rounded to the nearest one million? 23000000 Let o = -0.043150908829 + 1726.043093988829. Let z = o - 1726. Round z to 5 dps. -0.00006 Let a(f) = -302001*f**2 + f + 1. Let v be a(-1). Let r(u) = -2765*u**2 + 6*u + 7. Let y be r(-8). Let k = y - v. Round k to the nearest ten thousand. 130000 Let n = -375 + 110. Let u = 133 - n. Let p = u - -147. What is p rounded to the nearest 10? 550 Let i = -229 - -234. Suppose i*k = 2*o + 35008, -8*o = -3*o + 20. What is k rounded to the nearest 10000? 10000 Let h = 180.326 + -0.326. Let t = h - 180.000716. Round t to four dps. -0.0007 Let n = -2517013823.099224 - -2517029386. Let u = 15563 - n. Let q = -0.099 + u. Round q to five decimal places. 0.00022 Let b = -66178464.000146 - -66178278. Let o = b - -186. What is o rounded to 4 dps? -0.0001 Let o = -170.2865 + -2.2235. Let w = 174 + o. Let z = w - 1.49000073. What is z rounded to 7 dps? -0.0000007 Let h = 4481422.431907 + -4481414. Let k = h - 0.231906. Let n = k - 8.2. Round n to five dps. 0 Let t(h) = -64*h - 8. Let v(u) = -5*u - 1. Let m(z) = -2*z - 1. Let b(y) = -2*m(y) + v(y). Let j(f) = 3*b(f) - t(f). Let n be j(7). Round n to the nearest 100. 400 Let w = 7040445 + -7041080.0726. Let j = 528 + -1163. Let s = w - j. What is s rounded to 3 dps? -0.073 Let b = -2599932 + 2600152.2881. Let p = 221 - b. Let d = 0.72 - p. What is d rounded to three dps? 0.008 Let n = 1777029383070.000006 - 1777031883046. Let o = n + 2499972. Let w = -4 - o. What is w rounded to 6 decimal places? -0.000006 Let n = 29.452 + -30. Let q = n - -0.548698. What is q rounded to four decimal places? 0.0007 Let d = -91.21 + 124.375. Let r = d + 0.535. What is r rounded to the nearest ten? 30 Let x = -3074899 + -1558601. What is x rounded to the nearest 100000? -4600000 Let p = -38954.8909 + 0.8909. Let g = p + 39134.774. Let y = -181 + g. Round y to 2 decimal places. -0.23 Let v(u) = -u - 34. Let a(k) = -k. Let b be a(-4). Let q be b + 7/(7/(-16)). Let l be v(q). Round l to the nearest 10. -20 Suppose 0*x - 5*x - 4*h = -7, -x + 11 = -4*h. Let g be x/(18/(-4)) + (-48)/(-18). Suppose 2*v + 344 = 4*r, -g*v - 4*r - 466 = v. Round v to the nearest 10. -160 Let d = -118415219.999918 - -118415058. Let s = 162 + d. What is s rounded to 5 dps? 0.00008 Let b = 26463.198 - 26424. Round b to the nearest integer. 39 Let m be (-47)/(-3) - 7/(-21). Suppose 12*n = m*n. Suppose n*q = -6*q - 2220000. Round q to the nearest one hundred thousand. -400000 Let j = 0.04574 - 0.045752755. What is j rounded to 7 dps? -0.0000128 Let l = -0.5871 + 0.557. Let f = 11111.94 + -11112. Let h = f - l. Round h to two dps. -0.03 Let y = -0.0288 - -0.02854363. Round y to 6 decimal places. -0.000256 Let x = -12084.9993869 - -12085. Round x to 4 decimal places. 0.0006 Let f = 31 - 26. Suppose 0 = p - 4, 2*c + 4 = -7*p + 8*p. Suppose 2*y + f*z + 0*z - 6465 = c, -2*y - 4*z = -6464. What is y rounded to the nearest one thousand? 3000 Let n
{ "pile_set_name": "DM Mathematics" }
of (2/g)/(n/(-36))? 6 Suppose -4*y + 30 = y. What is the units digit of y? 6 Let q(v) = -v**2 + 2*v + 7. What is the units digit of q(0)? 7 What is the hundreds digit of 412/12*(-1 + 4)? 1 Suppose -5*d = -d + 24. What is the units digit of -3*(2/d - 2)? 7 Let x(k) be the first derivative of -15*k**2/2 - 7*k + 5. What is the tens digit of x(-3)? 3 Suppose v - 40 = -2. What is the units digit of v? 8 Let w(v) = 254*v - 15. Let p(m) = 51*m - 3. Let u(k) = -11*p(k) + 2*w(k). What is the units digit of u(-1)? 6 Suppose 4*i + 5 = -3. Let y = i - -9. What is the units digit of y? 7 Let s(m) = m**3 - 7*m**2 + 6. Let h be (-20)/8*-14*1. Suppose i - h = -4*i. What is the units digit of s(i)? 6 Suppose 337 - 1232 = -5*k. What is the hundreds digit of k? 1 Suppose -3*o = g, -5*o + 2 = 2*g + 1. What is the tens digit of (0 + o)/1*-15? 1 Let s be -1 + 3 + 0/(-2). Suppose 2 = -0*d + s*d. What is the units digit of (-4)/12*d*-3? 1 Suppose -d = d - 56. Let m = -14 + d. What is the units digit of m? 4 Suppose 5*v - 2*v - 219 = 0. What is the tens digit of v? 7 Let a = 90 + -32. What is the units digit of a? 8 Let h(n) = 5*n + 12. Let u be h(9). What is the units digit of u/12 + 1/4? 5 Let s(z) = z**3 + 9*z**2 - 18*z + 14. What is the tens digit of s(-8)? 2 Let f be (-2)/1 - -1 - -5. Let m(t) = -t**2 + 5*t - 1. Let g be m(f). What is the tens digit of (-26)/(-2) + g/(-1)? 1 Suppose -4*p + p + 342 = 5*l, 3*l + 366 = 3*p. What is the hundreds digit of p? 1 Suppose -8 = -2*n + 4. Suppose 0 = 3*o + 12 + n. What is the units digit of ((-4)/6)/(o/27)? 3 Let b(t) = -t**3 - 10*t**2 - 9*t - 5. Let d be b(-9). Let f be d/(-20) + 30/8. Suppose 0 = 4*m + f*u + 4, 5*m + 2*u = u + 15. What is the units digit of m? 4 Let x be (-108)/(-3)*2/(-4). Let b = 10 - x. Suppose 0 = 2*w + 3*j - b - 2, 26 = 2*w + 2*j. What is the units digit of w? 9 Let l = 3 - 1. Suppose 5*b = 4*m - 6 + 18, 4*m + l*b - 16 = 0. Let f = m - 0. What is the units digit of f? 2 Let w = 133 - -158. What is the units digit of w? 1 Suppose 0*t + 5 = t. Suppose t*o = 3*o + 10. Suppose 107 - 37 = o*v. What is the units digit of v? 4 Let i = -2 + 1. Let f(z) = 12*z - 72. Let o be f(6). What is the tens digit of 3 + i + o + 16? 1 Let c be (7 + -1)*15/18. What is the units digit of 50/4*18/c? 5 What is the tens digit of ((-2535)/(-6))/5 + (-3)/6? 8 Suppose 11 = 5*j - 199. What is the units digit of j? 2 Suppose -g = -2*x - 3*x - 4, 0 = 3*x + 3*g - 12. Let f be x + 0 + (-12)/(-3). Suppose -f*i + 3*n = 5*n - 12, -3*i = -5*n + 4. What is the units digit of i? 2 Let z(v) be the first derivative of v**3/3 - 9*v**2/2 - 14*v + 4. What is the units digit of z(11)? 8 Let a be -1 + (-2 + 4 - -1). Suppose a*s + 18 = 42. What is the tens digit of s? 1 Let k = -551 + 864. What is the hundreds digit of k? 3 What is the hundreds digit of (-2)/(-6) + (-1)/((-3)/827)? 2 Let v = -4 - -5. Let n = v + -1. What is the units digit of (-21)/3*(-1 + n)? 7 Suppose 3*o - 3 = 4*o. What is the units digit of 21/(-7)*8/o? 8 Let p(j) = j + 4. Let a be p(0). Suppose 0 = -a*f + 2*f + 12. What is the units digit of f? 6 Suppose d = f + 35, -2*d - 7*f + 42 = -2*f. What is the units digit of d? 1 Let a(q) be the third derivative of -q**6/60 + q**5/60 - q**3/2 + q**2. Let u be a(-3). Suppose -4*k + u = 4. What is the units digit of k? 4 Let r be ((-16)/20)/(2/30). Let s = r + 16. What is the units digit of s? 4 Suppose -50 = -5*t + 5. What is the tens digit of t? 1 Suppose -22*f + 21*f = -62. What is the tens digit of f? 6 Let n = 19 + -1. What is the units digit of n? 8 Suppose 3*n + 0*n - 543 = 0. What is the hundreds digit of n? 1 Let m(b) = -b**3 + b. Let i be m(-1). Suppose -3*y + 0 + 15 = i. Suppose 4*w - y*w + 10 = 0. What is the tens digit of w? 1 Let s be 4/(6/3) - 1. What is the tens digit of 35/(-14)*-4*s? 1 Let p(z) = z**3 + 2*z**2 - 8*z - 6. Let r be p(-4). Let n(u) = u - 8. Let x be n(0). Let h = r - x. What is the units digit of h? 2 Let x = 157 - 135. What is the tens digit of x? 2 What is the units digit of 6/8 - 1017/(-36)? 9 What is the units digit of (-7)/(14/(-80)) + 2 + -1? 1 Let f be (1/2*2)/(-1). Let v(j) = -24*j + 2. What is the tens digit of v(f)? 2 Let g(c) = c**2 - 4*c + 4. Let k be g(3). Let h = -30 - -19. Let s = k - h. What is the tens digit of s? 1 Suppose -5*w + 0*w + 162 = -2*y, -2*w + y + 64 = 0. What is the units digit of w? 4 Let v(s) be the second derivative of -s**5/20 + s**4/3 + s**3/6 + 2*s**2 + 3*s. What is the units digit of v(4)? 8 Suppose 3*p - 462 - 63 = 0. What is the tens digit of p? 7 Let s be -10 + (3 - 0)/(-3). Let o = 17 + s. What is the units digit of o? 6 Let a(r) = -r + 3. What is the units digit of a(-4)? 7 Let h(i) = 15*i**2 - 4*i - 5. What is the tens digit of h(-3)? 4 Suppose -5*a = -n + 21, 5*n + 9 + 2 = -4*a. Let h be 1/(n/5) + -1. Suppose h*t = -3*g - 3, 2*g - 3*g - 5*t = 12. What is the units digit of g? 3 Let s(k) = -5*k. Let g be s(6). Let v = g + 60. What is the tens digit of v? 3 Let k(h) = -h**3 - 4*h**2 + 2*h - 2. Suppose -4*v + 17 = -5*z - 4, 4*v = -5*z - 29. What is the tens digit of k(z)? 1 Let j(m) = m**3 + m**2 - 3*m + 2. Let z be j(2). Suppose -o - z = -14. What is the units digit of o? 6 Let y(z) = -z**3 - 6*z**2 - 6*z + 5. What is the units digit of y(-5)? 0 Suppose 280 = 5*k - 215. What is the units digit of k? 9 Let i(u) = u**3 - 2*u**2 - u - 2. Let f be i(3). Suppose f*c = 5*p - 80, 17 = p - c - 0*c. What is the tens digit of p? 1 Let y(v) = -v**3 + 2*v**2 + v. Let h be y(-1). Suppose h*l = -3*o + 115, o = -2*o - l + 113. What is the tens digit of o? 3 Let i be (0 - 1)/(2/(-8)). Suppose -5*y + 0*y - 4*n = -123, y - 31 = -i*n. What is the units digit of y? 3 Suppose -2*y = 3*t + 8, y - 14 = 2*y + 4*t. Suppose -j + 17 = y*d, -2*j - d = -0*d - 49. Suppose j = 2*v + v. What is the units digit of v? 9 Suppose -2*n + 220 = 2*s, 2*s - 446 = -2*n - 2*n. What is the hundreds digit of n? 1 Suppose 2*c = -4*c + 264. What is the units digit of c? 4 Suppose 2*g + 42 = -g. Let m = g - -42. What is the tens digit of m? 2 Suppose -b - 111 = -2*c, -5*c = 4*b + 1 - 311. Suppose 5*n = 8 - c. Let l = n + 16. What is the units digit of l? 6 Suppose -k - 5*c - 75 = -3*k, 4*k - 115 = 3*c. What is the units digit of k? 5 Suppose -7 = 2*l - 3*y, 3*l - 2*y = -y + 7. Let g(f) = -4 - l - 6*f + f**2 + 5. What is the units digit of g(7)? 4 Let f = 215 + -95. What is the tens digit of (-16)/3*f/(-16)? 4 Let k be 0 + 1 - (-2)/2. Suppose 0*b - 22 = -k*i + 3*b, 44 = 3*i + b. Suppose -r + i = -2. What is the units digit of r? 6 What is the units digit of -1*(-10 - -5) - -222? 7 Let q be (2/(-5))/((-1)/30). Let k = q + -2. What is the tens digit of k? 1 Let v = 9 - -3. What is the units digit of v? 2 Let d(y) = -2*y. Let p be d(-1). Let j(h) = -4 + h**2 + 2*h**2 + 7*h - 3*h**p - h**2. What is the units digit of j(5)? 6 Let y = -19 - -36. What is the tens digit of y? 1 Let w(h) = -h**3 + 11*h**2 - 11*h + 15. Let v be w(10). Let q = v - -11. What is the tens digit of q? 1 Let b(x) be the third derivative of x**5/60 + x**4/24 + 2*x**3/3 + 2*x**2. What is the units digit of b(-3)? 0 Suppose 20 = -5*j - 3*z, 4*j - z + 5 + 11 = 0. What is the units digit of j/8*-6 - -20? 3 Let b(h) = 1 + 3*h**3 + 2 - 4*h**3 + 8*h**2 - 4*h + 14*h. What is the units digit of b(9)? 2 Let s(b) = b**3 + 3*b**2 + 2*b + 1. Let q be s(-2). What is the units digit of (-1)/(3/(-15)) - q? 4 Suppose -55 = -2*w + 2*r + 57, 166 = 3*w - 5*r. What is the units digit of w? 7 Let i(m) = 3*m**3 - m**2 + 1 + 0*m**3 + 0*m**2. Let r = 0 + 1. What is the units digit of i(r)? 3 Let q(n) = n + 9. Let r be q(-5). Suppose 2*s + 14 = r*s. Suppose 5*j - s = 18. What is the units digit of j? 5 Let a = 5 + -2. Let y be (-2 + 2)/(1 - 0). Suppose y = 2*b + 2*b + 16, -a*v = b - 8. What is the units digit of v? 4 What is the units digit of 3 - 23/(-2)*(-2 - -12)? 8 Suppose 0 = -4*a - 2*g - 16, -1 = a + 2*g - 0. Let x(f) = 4*f + f + 7 - 6*f. What is the tens digit of x(a)? 1 Let w = -3 - -5. What is the units digit of w? 2 What is the hundreds digit of (-4)/18 - 478*2/(-9)? 1 Let f = -13 + 28. What is the tens digit of ((-132)/f - -4)*-5? 2 Suppose 0 = 4*c, 5*c - 1 - 11 = -4*j. Suppose -j*t = -t + 5*d - 119, d = -3*t + 159. Suppose 3*n = -2*z + 4, 4*z - n - 4*
{ "pile_set_name": "DM Mathematics" }
+ 46 = 5*i for x. -13 Solve 1 = d + 4*h, -857*h + 859*h - 1 = -d for d. 1 Solve -v + 2*m - 3 = -12, -2*m - 8 = 0 for v. 1 Solve 4*q + 12 = q, 3*m + 4*q - 40 = -35 for m. 7 Solve 0 = 4*z + 226*k - 225*k + 18, 0 = z + 5*k + 14 for z. -4 Solve -3*g = -96*y + 97*y + 13, -2*y - 5*g = 20 for y. 5 Solve 3*u + 48 = -2*t, -127488*u + 127491*u = -4*t - 48 for t. 0 Solve 3 = -n - 2*o, 2*n + 5322*o - 5319*o + 7 = 0 for n. -5 Solve -2*d + y = -9, -258*d + 253*d + 27 = -4*y for d. 3 Solve 4*c - 5*f - 19 = -6*f, -4*c = -5*f - 25 for c. 5 Solve 0 = -22*l + 21*l + 5*f + 13, 4*l + 23 = -5*f for l. -2 Solve -i - 10 = 3*v, 3*i - 3*v - 722 + 740 = 0 for i. -7 Solve -97*l + 3*p = -98*l - 2, -6 = 3*l + 3*p for l. -2 Solve 2*w + 69*h = 71*h - 26, -5*w - 5*h = -25 for w. -4 Solve -3*r - 346675 + 346654 = 5*m, -9*m + 3*r - 63 = 0 for m. -6 Solve 5*m + 5*a = -70 + 105, -2*m - 5*a = -20 for m. 5 Solve 3*p - 17 = 4*k, 3*k - 249 + 260 = 4*p for p. -1 Solve -2724*g = 5*a - 2729*g - 5, 4*a + 4*g - 12 = 0 for a. 2 Solve -4*p + 22 = 14*r, -10*r = 5*p - 11*r + 28 for p. -5 Solve -4*t = -16, 69*t = -6*b + 67*t + 50 for b. 7 Solve -4*q - 5*i + 13 = 50, 2*i = -5*q - 8 for q. 2 Solve 2*a - 10*q = -8*q, -a = -3*q + 4 for a. 2 Solve 28400 = h + 5*c + 28410, 0 = -5*h + 3*c + 34 for h. 5 Solve -2*q - 1 = -2541*o + 2544*o, -q + 7*o + 25 = 0 for q. 4 Solve 0 = -4*o + 16, 0 = -193*y + 190*y + 5*o - 26 for y. -2 Solve 0 = 2*r - 8*z - 52, -4539 = 2*r - 2*z - 4555 for r. 2 Solve 9*w + l - 39 = -21, 0 = 3*w - 4*l - 6 for w. 2 Solve 61 = -6*j + 5*y, -2*j + 323*y - 32 = 319*y for j. -6 Solve -42*u - 41 = -46*u - 3*l, 4*l = -3*u + 22 for u. 14 Solve -9 = -21*h + 15*h - m, 3*h + 2*m - 9 = 0 for h. 1 Solve 6*w + 10*y - 13 = 12*y + 11, -12 = -4*y for w. 5 Solve 30 = -2*b + 5*t, -19 = 3*b - 90*t + 89*t for b. -5 Solve -30 = -5*z - 5*d, 0 = 3*z - 700*d + 699*d - 6 for z. 3 Solve 0 = -12*r + 8*r - 3*h + 61, 9*r = -2*h + 161 for r. 19 Solve 223*l = x + 225*l - 5, 1 = -4*x - l for x. -1 Solve -5*z - 14 = -4*w, 1341*w - 5 = z + 1338*w for z. -2 Solve -2*j - 245 + 251 = 2*b, -9 = -j + 5*b for j. 4 Solve f - 5*h + 7 = 0, -96*h = -3*f - 100*h - 2 for f. -2 Solve 3*v + 9 = 0, -2*p - 1 = -4*v + 7*v for p. 4 Solve -9*g + 27 = 0, 13*z - 18*z + g = -2*g + 9 for z. 0 Solve -2*u = 4*u + 2*t - 22, -4*u = -4*t - 4 for u. 3 Solve -2*a = 5*g + 13, -21 = 4*a - 3*g - 60 for a. 6 Solve 3*y = 13*h - 104, 0 = h + 1 - 9 for y. 0 Solve c - 5*c = 3*v + 15, 302*v = -2*c + 303*v + 5 for c. 0 Solve -q + 5*y + 66 = 0, 4*q + 2*y + 38 = -6 for q. -4 Solve n - 90*d + 93*d + 8 = 0, -10 = 5*d for n. -2 Solve 0 = -2*n - o - 2, 0 = n + 5*o + 1289 - 1270 for n. 1 Solve i - 40 = -3*r - 44, 2*r + 4*i = -16 for r. 0 Solve -4*f - 11 = 5*g, 6*g - 103 = -5*f - 116 for g. -3 Solve -u + 7*k + 26 = 0, -5*u - 3*k = -162 + 108 for u. 12 Solve -2*o - 9 = -q, 0 = -3*q + 43 - 58 for o. -7 Solve -2*n = 356*i - 361*i + 46, -26 = 2*n - 3*i for n. 2 Solve -5*m - 62 = 6*w, 3*w - 9*m = -8*m - 38 for w. -12 Solve 3*v - 3*x + 6 = 0, 2426*x - 2421*x + 2 = 2*v for v. -4 Solve p = -3*n - 5, -104*n + 4*p - 8 = -109*n for n. -4 Solve -3*y - 2*b = -9, -1479*b + 1478*b + 7 = -y for y. -1 Solve 2*j + 75198 = -4*t + 75194, -8 = 4*j for t. 0 Solve c + p + 29 - 27 = 0, -2*c = -p - 2 for c. 0 Solve 186*f - 184*f - 8 = 0, -2*f + 18 = 5*v for v. 2 Solve -3*z - 2*y = -7, -9*z + 5*y = -13*z for z. 5 Solve 38 = -3*m + 4*w, 4*m - 5*w = -w - 40 for m. -2 Solve -480*r + t = -478*r - 3, -3*r - t + 17 = 0 for r. 4 Solve -3*p - 5*w = 28, 28*p - 31*p - w - 8 = 0 for p. -1 Solve -y - 1 = -3*j, 2*j + 47*y = 48*y - 1 for j. 2 Solve 5*c = -n - 20, -173*c + 178*c + 4*n = -35 for c. -3 Solve k - 3*n + 69 - 73 = 0, 2*k = -5*n - 25 for k. -5 Solve -4*f - 3731*b + 3726*b = 21, -3*f - 15 = 4*b for f. -9 Solve l + 66 = 5*z + 23, -l + 4*z = 35 for l. -3 Solve 40*r = 39*r - 4*f - 3, 4*f + 13 = r for r. 5 Solve 0 = -4*i + 3*t + 38, -8*t - 42 = -5*i + 65 for i. -1 Solve 29*t - 2*m = 27*t - 58, 2*m = t + 33 for t. -25 Solve -20 = -3*b + 5*z, -2*b + 444 = b + 12*z + 441 for b. 5 Solve 4*k = 4*a + 12, 3*a - 2534 + 2548 = 4*k for a. 2 Solve -3*m - 1 = j, -7*m = -j - 11*m for j. -4 Solve -28*b = -26*b - m + 12, 55*b + m = 5*m - 330 for b. -6 Solve 0 = -5*h - 25, 3*g - 30*h = -28*h + 4 for g. -2 Solve -2*j - 12 = 4*m, -163*j = -164*j - 2 for m. -2 Solve 524*w - 526*w - 6 = -x, 0 = -9*w + 10*x - 38 for w. -2 Solve 31 = l + 5*d, 123*d = -l + 125*d - 18 for l. -4 Solve 4*f + 7435 = 7431, -2*f = 3*w - 34 for w. 12 Solve 0 = x - 2*a, -16*x + 19*x + 4*a = -20 for x. -4 Solve -123*j = -3*o - 127*j - 22, o = -j - 6 for o. -2 Solve -19 = 3*z + 2*b - 30, -3*z + 25 = -5*b for z. 5 Solve -294 + 293 = 2*h + n, -2*h + 3 = 5*n for h. -1 Solve 108 = -3*p - 72*b, 92*b + 7 = -p + 97*b for p. -12 Solve -3*b - 3*j + 12 = -2*j, 24 = 3*b - 3*j for b. 5 Solve -5*v - 3*x + 158 = -161 + 322, 5*v + x = -11 for v. -3 Solve -233*k + 236*k = 4*t - 4, -k = 2*t - 2 for t. 1 Solve -2*v = 2*l - 8, -709*v - 4 = -706*v - l for v. 0 Solve -2*v - 64*z = -69*z + 24, -3*z + 18 = 0 for v. 3 Solve 2*d + 5 = -4*j - 29, 3*j + 24 = -d for d. -3 Solve 0 = 2*m - 7*m + 20, 0 = -3*q - 3*m - 248 + 332 for q. 24 Solve -6*j = 2*g + 8, 4*j - 44*g = -41*g + 12 for j. 0 Solve 0 = -4*f - 2*m + 80 - 50, 2*f - 4*m + 10 = 0 for f. 5 Solve 3*j = v + 12, -5*j + 6723 = 4*v + 6720 for v. -3 Solve 5*h - 29 = 4*k, 830*k - 45 = 833*k + 4*h for k. -11 Solve 4*c - 58*z = -55*z + 27, 0 = 4*c - 5*z - 37 for c. 3 Solve -2*w = -3*u + 16, 163*u = 159*u - 5*w - 17 for u. 2 Solve -41 = 5*m + 4*n - 31, 8*m = -n - 16 for m. -2 Solve -15 = -3*i, -3*p = i + 3*i - 17 for p. -1 Solve -16*d + 45 = -9*f - 13*d, -f - 3*d + 5 = 0 for f. -4 Solve 2 = -2*b + 8*w - 6*w, 5*b - 8*w = 1 for b. -3 Solve -27 = 5*g - 3*x - 9 - 9, 0 = 64*g - 5*x + 15 for g. 0 Solve -5*q - 2*n = -4, -4*q - 4*n - 9 = -17 for q. 0 Solve 6*x + 2*g - 41 = x - 50, 3*x = -2*g - 7 for x. -1 Solve -4*g = 2*z + 16, z + 344*g = 339*g - 23 for z. 2 Solve 0 = 9*p - u + 48, -191 = p + 4*u - 198 for p. -5 Solve 10*z - 14*z - 11 = 3*n, -5*z - 10 = 5*n for n. 3 Solve 2*s + 3 = 90099*j - 90100*j, -5*s + 5*j = -15 for s. 0 Solve -5*b = -7*p - 68, -4*p + 1 + 15 = 4*b for b. 8 Solve -32*n + 29*n + 5*p - 25 = 0, 0 = 2*n + p + 8 for n. -5 Solve -32 = -4*y - 4*a, 4*y - 164*a = -159*a - 4 for y. 4 Solve -200*p + 4*x = -199*p - 5, 7 = -p - 2*x for p. -3 Solve -13*l = 20*b - 23*b + 50, -4*l - 24 = -2*b for l. -2 Solve -352*x = -r - 351*x + 12, x - 23 = -4*r for r. 7 Solve -w + 1 = -2*z, -16*z + 17*z = -10*w - 11 for w. -1 Solve -2*g = 2, 3*a = -137*g + 138*g + 13 for a. 4 Solve t + 25 = i + 12, 2*t + 3*i - 64 = 0 for t. 5 Solve 0 = -p + 4, 14 = 2*v + 20556*p - 20552*p for v. -1 Solve -4*g - 17 + 41 = -l + 23, 5*g = -5 for l. -5 Solve 5*p + 11 = -8*b, -18*p - 9 = 2*b - 23*p for b. -2 Solve -140 + 132 = 4*z + m, -17 = z + 4*m for z. -1 Solve -11*y = -3*m - 14*y + 21, 4*m - 12 = 4*y for m. 5 Solve 0 = 2*m - 4*a - 14, -5*m - 22*a + 25*a + 49 = 0 for m. 11 Solve 0 = -58*y + 60*y - h - 14, 0 = y + h - 1 for y. 5 Solve -358*y = -5*f - 363*y + 10, -f + 4 = 2*y for f. 0 Solve b + 145 = 4*t + 150, 7 = -2*t - b for t. -2 Solve 4*h + k = -1, 2*k = -h + 596 - 584 for h. -2 Solve -47*o + 3*d - 20 = -52*o, 2*d - 11 = -o for o. 1 Solve 2*g = 4*c - 10, 335*g + 4 = 4*c + 339*g - 24 for c. 4 Solve -5*v = 3*g - 7, -2*v + 38*g = -4*v - 34 for v. 2 Solve -25 = 5*n - 5*c, -5*n = 4*c + 95 - 97 for n. -2 Solve 4*i + m = 12, -2*m + 64 = -4*i + 88 for i. 4 Solve 76 = 5*t + 3*z, -t - 2*z = -17276 + 17216 for t. -4 Solve -38*w = 4*z + 284, -69*w + 73*w = -3*z - 17 for w. -8 Solve 5*j = -3*k, 0 = 30*j + 2*k - 1623 + 1703 for j. -3 Solve -52*z - 4*s = -57*z - 36, z = -3*s + 8 for z. -4 Solve -8099 = -2*w - 2*q - 8101, 4*w = 3*q - 18 for w. -3 Solve -7*z - 2*l + 219 = 153, -z + 4*z + 1 = 5*l for z. 8 Solve -g - 181*x + 172*x - 51 = 0, -g - 9 = 2*x for g. 3 Solve 0 = -6*w + 5*i + 153 - 127, 5*w + 15 = -5*i for w. 1 Solve -2*h = -5*d - 16, 946*h = 5*d + 947*h + 22 for d. -4 Solve -5*r - 5*v = -25, 2*r - 4*v = 32 - 28 for r. 4 Solve 15*f - 164 = -j - 141, 43 = 3*f + 5*j for f. 1 Solve -4*d - 14*l + 10 = -17*l, -2*d + 12 = -5*l for d. 1 Solve 5*d - i = 8 + 4 - 2, 2*i = -60 for d. -4 Solve 3*s = 9*h + 18, 3*h = 4*s + h - 24 for s. 6 Solve -5*g - 3*m - 3 = -m, 2*m + 8 =
{ "pile_set_name": "DM Mathematics" }
2)) assuming z is positive. z**(128/19) Simplify ((o*o*o*o*o/(o*o/((o/(o**(-1/4)/o)*o)/o)*o)*o*o*o)/(o**(-3/7)*o))**(-1/46) assuming o is positive. o**(-187/1288) Simplify b*(((b**(-1)/b)/b)/b)/b*b**(-6)/b*(b/(b*b**(-1/3)))**(-49) assuming b is positive. b**(-82/3) Simplify (h/(h**(-16)*h)*h)/(h/h**(-1)) assuming h is positive. h**15 Simplify (f**10/f)**(2/7) assuming f is positive. f**(18/7) Simplify ((k*((k**(-1/5)*k)/k)/k)**(1/5))**(-3/11) assuming k is positive. k**(3/275) Simplify (((u/u**(3/7))/u)**16)**27 assuming u is positive. u**(-1296/7) Simplify n*n**(-17)/n*n*n**12 assuming n is positive. n**(-4) Simplify o/(o**(-1/23)*o)*(o*o*o**(-11))/o assuming o is positive. o**(-229/23) Simplify u**(2/59)/u*u**2 assuming u is positive. u**(61/59) Simplify (s*s/((s*((s**(14/9)/s)/s)/s*s)/s))/s**17 assuming s is positive. s**(-131/9) Simplify ((r**(-3/5))**(2/5))**(-22/5) assuming r is positive. r**(132/125) Simplify (w*w**(-3))/(w*w/w**(-4/7))*w**(2/5)/w**(1/7) assuming w is positive. w**(-151/35) Simplify (p/p**(-8))/(p/((p/p**(2/89)*p)/p)) assuming p is positive. p**(799/89) Simplify v**(1/24)/(v/v**(-16)) assuming v is positive. v**(-407/24) Simplify (z*z*z**(1/2)*z*z*z/(((z/(z*(z/z**12)/z)*z)/z)/z)*z)**(4/9) assuming z is positive. z**(-2) Simplify ((j**(2/3)/j)/j)**(-24/5) assuming j is positive. j**(32/5) Simplify (y*(y**(3/2)*y)/y)/y*y**7 assuming y is positive. y**(17/2) Simplify h**6/(h/(h/(h/((h**(2/23)/h)/h))))*((h**6/h)/h)/(h**(1/8)*h*h) assuming h is positive. h**(913/184) Simplify t**(-2)*t*t**(-2/9)*t*(t**(1/4))**(-4/3) assuming t is positive. t**(-5/9) Simplify b*b**8*b*b*b**17 assuming b is positive. b**28 Simplify r**(3/7)*r*r*r**21/r assuming r is positive. r**(157/7) Simplify x**(-1/7)*x*x**(-1/5)*x*(x*x**(2/7))**(-1/60) assuming x is positive. x**(229/140) Simplify (w/((w*w**(-1))/w))**17*w/(w/(w*w**(5/4)/w))*w*w**(-1/6) assuming w is positive. w**(433/12) Simplify ((f/f**(1/2))/f*f)/f*f**(-5/3)*f assuming f is positive. f**(-7/6) Simplify m**(1/7)/m*m*m*m*m/(m*m/m**(-6))*(m**0)**(5/13) assuming m is positive. m**(-34/7) Simplify (m/(m*m**(-2/87)))**(1/7) assuming m is positive. m**(2/609) Simplify (y**(-15)/y)/y**19 assuming y is positive. y**(-35) Simplify (l/l**(-2/3))/l*l**0*(l/l**0*l)**(-2/3) assuming l is positive. l**(-2/3) Simplify (p*p*p**(1/18)*p)/(p*p*(p*p**(8/9))/p) assuming p is positive. p**(1/6) Simplify o**4*o*o*o/o**9*o/(o*o/o**(1/4))*o*o/(o/o**4)*o*o assuming o is positive. o**(17/4) Simplify ((d/d**(-1/3))/d*d*d**(-3/5)/d)**50 assuming d is positive. d**(-40/3) Simplify (a/a**(-2))**(-22)/(a**1/a)**(-4/29) assuming a is positive. a**(-66) Simplify h**(-21)/h**(-8) assuming h is positive. h**(-13) Simplify (m/(m/(m/((m*m/((m/(m**(-1)/m)*m*m)/m))/m)))*m)**5/(m*m*m**(-2/5)/m)**24 assuming m is positive. m**(53/5) Simplify (g**0*g)/g*g**(17/2) assuming g is positive. g**(17/2) Simplify ((g**(-4))**(-18))**13 assuming g is positive. g**936 Simplify ((v/(v**(-2)/v))**(-32))**(-2/63) assuming v is positive. v**(256/63) Simplify h/h**(-16)*h*h/((h/h**(2/73))/h) assuming h is positive. h**(1389/73) Simplify (o/o**(-1/4))**(-43)*(o**(-2/15)*o)/o**(-2) assuming o is positive. o**(-3053/60) Simplify (u**(-18)*u)/u*(u/((u*u**(-1/11)*u)/u)*u)/u*u assuming u is positive. u**(-186/11) Simplify (h**(-2/31))**(-2/3) assuming h is positive. h**(4/93) Simplify (b**(-2)*b*b/(b*b*b*b**(-4))*b)**(-4/21) assuming b is positive. b**(-8/21) Simplify z/z**(3/2)*z/(z/(z/((z**(-2/25)/z)/z)))*(z/(((z*z*(((z/(z*z**(-1/3)))/z)/z)/z*z)/z*z)/z*z*z))**(4/31) assuming z is positive. z**(11797/4650) Simplify ((m*m/(m*m**5))**(-39))**42 assuming m is positive. m**6552 Simplify ((v/((v*v*((v/v**(6/17))/v)/v*v)/v*v*v))/v*v)/(v**10*v) assuming v is positive. v**(-215/17) Simplify (b*b**(-2)*b)/(b*b**(-4)*b) assuming b is positive. b**2 Simplify n**(-10/3)/n**(-1/8) assuming n is positive. n**(-77/24) Simplify (z/z**5*z)/(z*z**3/z*z)*z/(z**(-1)/z)*z**(-6)*z assuming z is positive. z**(-9) Simplify l/(l**35*l)*l**(2/5) assuming l is positive. l**(-173/5) Simplify s**20/s*(s*s**(-33))/s assuming s is positive. s**(-14) Simplify ((q/(((q*q**(-10/7))/q)/q)*q)/q**(-6))**48 assuming q is positive. q**(3504/7) Simplify f**(-2/15)/(f*f**6/f*f)*f**(-3)/(f/f**(1/9)) assuming f is positive. f**(-496/45) Simplify (u**(6/11)/u*u**(-2/25))**6 assuming u is positive. u**(-882/275) Simplify (p**(2/7))**(-5/4)/(p**0)**(45/2) assuming p is positive. p**(-5/14) Simplify (((l*l**(-4))/l)/l)**3 assuming l is positive. l**(-15) Simplify ((y*y*y*y**(2/11))/(y**(-2/15)/y))/((y/y**(-7))/y**(1/8)) assuming y is positive. y**(-4699/1320) Simplify z*z**(-3)*z**(-4/5)/z*z**4/(z/(z**(-4/7)/z)) assuming z is positive. z**(-83/35) Simplify (o*o**2*o**(-7/4))**(1/18) assuming o is positive. o**(5/72) Simplify (i*(i/i**(-3))/i)/((i**(-7)*i)/i)*i**(-7)/i*i**3*i assuming i is positive. i**7 Simplify (x/(x/((x**(2/89)*x)/x)))**(8/11) assuming x is positive. x**(16/979) Simplify ((v**(1/6))**(-13))**(3/11) assuming v is positive. v**(-13/22) Simplify b**(-20)*b*b**(-17) assuming b is positive. b**(-36) Simplify ((s**4/s)/(s/((s/s**(-5/2))/s)*s))/(s**(2/5))**(-43) assuming s is positive. s**(207/10) Simplify ((t**1)**6)**(2/23) assuming t is positive. t**(12/23) Simplify (y**(2/9)/y**(-1))**(11/3) assuming y is positive. y**(121/27) Simplify (s*s*s/s**(-1/5)*s*s/s**1)/(s*s*s**(-1/2))**(-43) assuming s is positive. s**(687/10) Simplify (c/((c*c*c*c**(-2/25)*c)/c))/(c**(2/41)/c*c) assuming c is positive. c**(-2018/1025) Simplify ((m**(-2/13)/m)**(-33))**(3/4) assuming m is positive. m**(1485/52) Simplify g**(-3/8)*g**32*g assuming g is positive. g**(261/8) Simplify (z/(z/(z/(z*z**(-10/3)))))/z**19 assuming z is positive. z**(-47/3) Simplify (o**(1/2)/o)**49 assuming o is positive. o**(-49/2) Simplify (o*o**(-4/5))/(o**(2/39)*o) assuming o is positive. o**(-166/195) Simplify (k**4/k*k*k**7)**(9/2) assuming k is positive. k**(99/2) Simplify x**(-31)*x*x/(((x/(x**(-4/7)*x))/x)/x) assuming x is positive. x**(-193/7) Simplify (k**(-2/9)*(k*k**(1/8))/k)**11 assuming k is positive. k**(-77/72) Simplify (w**5*w*w)**(2/97) assuming w is positive. w**(14/97) Simplify ((g**(-3/8)/g)/g*g*g**(-1)/g)/(g/(g**(3/2)/g)*g*g**(-4)*g*g) assuming g is positive. g**(-23/8) Simplify (m*m**(1/4)*m)/(m*m/m**(2/3)*m*m)*(m*m/(m*m**(-3))*m)/(m*((m/m**(-3/7))/m)/m) assuming m is positive. m**(293/84) Simplify t*t**(1/19)*t*(t*t**(-18))/t*t assuming t is positive. t**(-284/19) Simplify x**(-18)/x*x*x*x**(-1/39)*x assuming x is positive. x**(-625/39) Simplify (r*r/(r/r**5*r*r))/r*r**(-1/9)*(r*r**(-1/3))**12 assuming r is positive. r**(98/9) Simplify (x*x**(2/9))**(-1/7) assuming x is positive. x**(-11/63) Simplify ((x**14/x)/(x/(x/(x*(x*x**(-1))/x))*x))**(-6/29) assuming x is positive. x**(-72/29) Simplify z**(4/5)*(z*((z/(z/(z*z**(-8))))/z)/z)/z*(z**0*z)**(-5/19) assuming z is positive. z**(-804/95) Simplify (k*k**(-9))**(1/51) assuming k is positive. k**(-8/51) Simplify (l**(-13))**45 assuming l is positive. l**(-585) Simplify ((n*n**2)/n*n**0)/(n**(-4)*n*n/n**0) assuming n is positive. n**4 Simplify (w**20/(((((w*w**6/w)/w)/w)/w*w)/w))**10 assuming w is positive. w**170 Simplify r/(r*r*(r/r**(-4/11)*r*r)/r)*(((r**(-28)/r)/r)/r)/r assuming r is positive. r**(-389/11) Simplify (u**0)**(19/4)*(u/u**3*u)/(u*u**(-7)) assuming u is positive. u**5 Simplify (x**3)**(-7) assuming x is positive. x**(-21) Simplify (v**3)**(2/9)/(v**(-1/2))**(-5/7) assuming v is positive. v**(13/42) Simplify ((q/(q/(q*q/(q*q**(-1)*q))))/q)**4/(q*q**(-4)*q**(-1/6)) assuming q is positive. q**(19/6) Simplify (d/d**(-1/14)*d**(-6)*d*d)**(-33) assuming d is positive. d**(1353/14) Simplify ((b*(b*b*b**(2/9)*b*b*b)/b)/b**4)/(b**(-1/3))**(3/19) assuming b is positive. b**(218/171) Simplify ((k*k*k**(-3/5)/k*k)**(12/11))**(1/6) assuming k is positive. k**(14/55) Simplify x/x**(-8/5)*(x/x**(11/5)*x)/x*x*x assuming x is positive. x**(17/5) Simplify (m/m**(1/3))/(m/m**6)*((m*m*m*m/m**(-2/13))/m)/m**9 assuming m is positive. m**(-7/39) Simplify (b*b**(-17)*b)/(b/(b/(b**9*b*b))) assuming b is positive. b**(-26) Simplify (a/a**(-6)*a**(-9))/(a**(2/3)/a)**(-18) assuming a is positive. a**(-8) Simplify b*b**(5/7)*b**(-12/11) assuming b is positive. b**
{ "pile_set_name": "DM Mathematics" }
w = 8 + -3. Suppose 3*d + 928 = 2*u, w*d = -5*u + 968 + 1352. What is the tens digit of u? 6 Suppose -165720 + 274794 + 1900815 = 63*a. What is the units digit of a? 3 Suppose -17 = -0*z - 3*z - 2*w, 5 = 2*z - 5*w. Suppose -i - a + 608 = -0*i, -z*a - 3060 = -5*i. What is the hundreds digit of i? 6 Let f(z) = 3*z + 4. Let s be f(-1). What is the hundreds digit of ((-1)/s)/(1/(-237))? 2 Let v be (17 - 37)*1/(-5). Suppose -4*g + 1397 = 4*w - 431, 0 = 3*g + v*w - 1369. What is the units digit of g? 9 Suppose -3*p + m + 9032 = 0, 3014 = 587*p - 586*p - m. What is the tens digit of p? 0 Let q(y) = y**2 + 15*y + 11. Suppose 0 = x - 5, -2*x + 6*x = -2*p + 176. Suppose 2*g - 32 = -p. What is the units digit of q(g)? 5 Let x(z) = z**2 + 3*z. Let m(k) = 35*k**2 + 4*k - 2. Let o(h) = m(h) - x(h). What is the units digit of o(2)? 6 Suppose -9*g - 60 = -24*g. Suppose 0 = j - 3 - g. Suppose 33 + j = 4*z. What is the tens digit of z? 1 Let q(u) = -40*u**3 - 2*u**2 - 2*u + 1. Let s be q(-2). Suppose 2*l = s - 79. Let k = 32 + l. What is the hundreds digit of k? 1 Suppose 8*j + j = 54. Let r(i) = 25*i**2 + 10*i - 73. What is the hundreds digit of r(j)? 8 Let h be 2342/(-10) - (-5)/25. Let a be (22/(-12))/(-1) + (-39)/h. Suppose -a*s + 4*s = 88. What is the units digit of s? 4 Let d(n) be the first derivative of -n**4/4 + 13*n**3/3 - 12*n + 25. What is the units digit of d(9)? 2 Suppose 0 = -d - 4*m + 1914, -9642 = -5*d + 3*m + m. Suppose 24*l + d = 14166. What is the units digit of l? 0 Suppose -75 + 69 = -z, 0 = j + 2*z - 5091. What is the hundreds digit of j? 0 Let m be 2/5*(-4 + 6 + 3). Let w be m + (-2 - 4) - -39. Let u = w - 17. What is the tens digit of u? 1 Let m(f) = -1305*f - 5707. What is the hundreds digit of m(-11)? 6 Let u be -6 + (-4 - 86)/(-3). Let i(p) = p**2 - 17*p + 20. What is the hundreds digit of i(u)? 1 Let d(f) be the second derivative of 7*f**4/6 - 8*f**3/3 - 7*f**2/2 - 10*f + 7. What is the tens digit of d(5)? 6 Let p(v) = -28328*v + 1947. What is the units digit of p(-2)? 3 Let v = -14992 + 32511. What is the units digit of v? 9 Let x(h) = 3463*h + 4285. What is the hundreds digit of x(2)? 2 Let i(x) = 4*x + 25. Let h be i(-6). Let p be -5*-33*h/5. What is the tens digit of 2156/p + (-1)/3? 6 Let k(m) = 29*m**2 - 26*m - 401. What is the tens digit of k(-10)? 5 Let n(h) = 5*h - 9. Let k(w) = -1. Let j(s) = k(s) + n(s). Let q be j(9). What is the units digit of (-1233)/(-15) + (-7)/q? 2 Suppose -3*y + 1045 + 320 = 0. Suppose 4*p = 3*d - 0*p - 269, -5*d + 5*p + y = 0. What is the units digit of d? 5 Let u be (-2880)/10*(-33)/6. Suppose -10*z = 8*z - u. What is the units digit of z? 8 Let s(i) = i**3 + i**2 - 15*i - 35. Let k = -158 - -166. What is the hundreds digit of s(k)? 4 Suppose c = 2*q + 9822, -4*q - 5979 = -3*c + 23487. What is the tens digit of c? 2 Suppose c - 2*x = 19, 0 = 2*c + 3*c + 5*x - 20. Suppose 3*z = m - 44, -2*m + 107 = 4*z + c. What is the units digit of m? 7 Let a(n) = 412*n**2 - 5*n + 23. What is the thousands digit of a(-6)? 4 Suppose -i = 2*i - 90. Suppose -2*d - 2*d = -21*d. Suppose d = -5*j + 2*j + i. What is the units digit of j? 0 Let f = 9254 + 11840. What is the hundreds digit of f? 0 Let d(o) = -7*o**2 + 15*o - 11. Let b(m) = -13*m**2 + 30*m - 23. Let j = -39 - -28. Let y(x) = j*d(x) + 6*b(x). What is the tens digit of y(12)? 1 Suppose -4*j + 31 = 11, j - 3 = -2*v. What is the units digit of (v - 1 - -6)*(-837)/(-12)? 9 Let f(c) = -c**3 + 46*c**2 + 8*c + 71. What is the thousands digit of f(40)? 9 Let n = -310 + 907. Suppose -10*q = -4*q - 18. Suppose p + 248 = t + 53, -q*t - p + n = 0. What is the tens digit of t? 9 Suppose 22*t + 4*u - 37108 = 17*t, -5*u = -t + 7410. What is the hundreds digit of t? 4 What is the tens digit of ((2*14)/(-2))/(8*(-10)/50200)? 8 Let i(g) = 42*g**3 - g**2 - g + 1. Let n be i(1). Suppose -39*y = -n*y. Suppose y = 4*v + 125 - 981. What is the tens digit of v? 1 Suppose 9*b = 7*b + 636. Suppose 2*c + n = 3*n - 358, -5*c - 891 = -4*n. Let p = b + c. What is the units digit of p? 3 Let k = 734 - 726. Suppose 11*d + 5*a = k*d + 1580, -5*a - 1070 = -2*d. What is the units digit of d? 0 Let t(j) = 32*j - 142. Let z be t(9). Let r(v) = -15*v - 4. Let m be r(6). Let a = m + z. What is the units digit of a? 2 What is the units digit of 77/(-14)*(-17970 + 32)? 9 Let g = -72136 + 109799. What is the units digit of g? 3 Let j(w) = 5*w - 13. Let c be j(4). Suppose 0*t = -c*t + 294. What is the tens digit of ((-63)/t)/(3/(-64))? 3 Let g be 4/(2/1) - 2. Suppose g = o - 3*o. Suppose 2*c - 28 = -p + 28, 5*c - 5*p - 140 = o. What is the units digit of c? 8 Let l(p) = p**2 + 36*p - 88. Let y be l(-39). What is the hundreds digit of 0 - -385 - (-25 + y)? 3 Let v(i) = -65*i - 32. Let s(a) = -456*a - 225. Let z(y) = 4*s(y) - 27*v(y). Let d be z(-5). Let m = d - 178. What is the units digit of m? 1 Suppose 1076128 = 77*r - 362078. What is the thousands digit of r? 8 Suppose 173069 + 246117 = 34*w. What is the units digit of w? 9 Suppose 6 - 15 = o. Let g be -1*(-3)/o*(1 - -110). What is the hundreds digit of 12*(3/(-12) + 0)*g? 1 Let b(x) = 2*x**3 + 77*x**2 - 35*x - 101. What is the thousands digit of b(-37)? 5 Suppose 0 = -83*h + 85*h + 6170. Let y = -1598 - h. What is the thousands digit of y? 1 Let t = 925 - 1380. Let n = t - -1442. What is the units digit of n? 7 Let z(s) be the first derivative of -s**4 - 11*s**3/3 + 3*s**2/2 + 9*s + 54. What is the tens digit of z(-6)? 5 Suppose -5*k + 173 - 133 = 0. What is the units digit of (-2)/(7/((-5292)/k))? 9 Suppose 754*x - 11659475 = 5398267. What is the ten thousands digit of x? 2 Let w be (9 + 3/(-1))*(-112)/(-42). Suppose -w*o = -41*o + 7950. What is the units digit of o? 8 Let r = -416 - -434. Suppose r*v - 2*v - 6816 = 0. What is the tens digit of v? 2 Let p = 3337 - 4754. Let s = -916 - p. What is the hundreds digit of s? 5 Let y(f) = 101*f + 4. Let l be y(4). What is the hundreds digit of ((-86)/3)/(2 - 832/l)? 7 Suppose 5002 = -5*z + 2*d, -2*d + 4*d + 2012 = -2*z. What is the units digit of (-1)/(((-6)/z)/(-1))? 7 Let d = -27 - -27. Suppose 0 = -d*u + 5*u. Suppose u*z + z = 58. What is the tens digit of z? 5 Let f(t) = -24*t + 2. Suppose 2*y - 1 = 5. Suppose 4*a = -5*r - 34 + 11, -16 = r - y*a. What is the hundreds digit of f(r)? 1 Let q(a) = -3*a**2 - a + 28. Let u be q(0). Let y = u + 559. What is the units digit of y? 7 Let v(j) = 5*j + 20. Let n(p) = p**3 - 17*p**2 - p + 13. Let i be n(17). Let t be v(i). Suppose -5*r + t*r = -140. What is the tens digit of r? 2 Suppose 53 = -a + 57. Suppose -a*r + 99 = -1173. What is the tens digit of r? 1 Let v(x) = -x**3 + 8*x**2 - 10*x. Let h be v(5). Let d be h/15*(-177)/(-1). Suppose -5*o = -d - 15. What is the units digit of o? 2 Let y(a) = a**2 - 3*a - 4 + 11*a - 2*a**2 - 4*a + 9*a. Let c be 2/(-4) - 42/(-4). What is the tens digit of y(c)? 2 Let x(k) = -2*k**3 + 10*k**2 + 5*k - 25. Let v be x(5). Suppose u - 573 - 634 = v. What is the tens digit of u? 0 Suppose 19 + 16 = y - 2*j, -5*j - 23 = -y. Let q = y - 44. What is the units digit of q - (-4 - (137 + -4))? 6 Let w be 0 - (-1)/(-2)*(-19 + 19). Suppose 7*h - 522 - 297 = w. What is the tens digit of h? 1 Let y(c) = -c**3 - 4*c**2 + 2. Let w(p) = -p**3 - 3*p**2 + 2. Let v(a) = -3*w(a) + 4*y(a). Let b = 41 - 48. What is the units digit of v(b)? 2 Let b(a) = 8*a**2 - a + 26. Let z(i) = -4*i**2 - 13. Let j(v) = 4*b(v) + 7*z(v). Let x be j(4). Let w = 24 + x. What is the units digit of w? 5 What is the hundreds digit of 6495*(-13)/(975/(-30))? 5 Suppose 5*q = g + 3*g - 1438, -2*g - 6 = 0. Let t = -275 - q. What is the units digit of t? 5 Suppose 11*b - 175430 - 101234 + 51868 = 0. What is the units digit of b? 6 Let x = 379 + -377. Suppose 4*k - x*k = 8, -6*j + 3968 = -4*k. What is the hundreds digit of j? 6 Let d = 17691 - 3503. What is the units digit of d? 8 Suppose -8*x = -5847 - 18153. What is the hundreds digit of x? 0 Suppose -16*o - 2*z = -21*o + 5110, 1030 = o - 2*z. What is the hundreds digit of (-945)/10*o/(-119)? 8 Let b = 2588 + -1212. Let d be (-7)/(105/(-48))*(-35 + 0). What is the units digit of (-4)/14 - b/d? 2 Let o be (-32)/(-208) - 100/(-26). What is the units digit of 6929/13 - 5/(5/o)? 9 Suppose -m + 907 = 2*g, -m = g + m -
{ "pile_set_name": "DM Mathematics" }
3 to the nearest ten. -28440 What is 22580.5075 rounded to 0 decimal places? 22581 Round 668941.32 to the nearest 100000. 700000 What is 0.00000078422974 rounded to seven dps? 0.0000008 What is 0.007090275709 rounded to 3 dps? 0.007 Round -172175.54 to the nearest 1000. -172000 What is 6008954.7 rounded to the nearest one million? 6000000 What is 248.9808194 rounded to the nearest 10? 250 What is -0.265819511 rounded to 5 decimal places? -0.26582 What is -140.1025357 rounded to 1 dp? -140.1 Round 3942999.11 to the nearest one million. 4000000 Round -0.15060563 to three dps. -0.151 What is 0.0002140239189 rounded to 5 decimal places? 0.00021 Round -761836889 to the nearest one million. -762000000 Round 15609719.66 to the nearest one million. 16000000 What is -11.2204984 rounded to three decimal places? -11.22 What is 0.7620978377 rounded to 2 dps? 0.76 What is 1.627599366 rounded to two decimal places? 1.63 What is -83910.0366 rounded to the nearest ten thousand? -80000 What is 135.186794 rounded to the nearest integer? 135 What is -1390941720 rounded to the nearest 100000? -1390900000 What is -0.000000452727898 rounded to 7 dps? -0.0000005 What is -0.0046695013 rounded to three decimal places? -0.005 Round -0.0006334711982 to four dps. -0.0006 What is 8.81133027 rounded to 4 decimal places? 8.8113 Round -0.0010553411779 to five decimal places. -0.00106 What is 1.10448248 rounded to two dps? 1.1 Round 2876805.874 to the nearest ten thousand. 2880000 What is 0.000154219731 rounded to seven dps? 0.0001542 What is 1998928.786 rounded to the nearest one hundred thousand? 2000000 Round 12022.2919 to the nearest one hundred. 12000 What is 1422.2503 rounded to one dp? 1422.3 What is 46642.2652 rounded to the nearest 10000? 50000 What is -0.159362886 rounded to two dps? -0.16 Round 3.938403904 to 0 dps. 4 What is -0.006029968724 rounded to three dps? -0.006 What is -11892578.9 rounded to the nearest 100000? -11900000 What is 19618277.821 rounded to the nearest one million? 20000000 What is 0.0023284555 rounded to five dps? 0.00233 What is -37966434.8 rounded to the nearest 10000? -37970000 What is 17.0360354 rounded to 4 dps? 17.036 Round 0.0002768822061 to seven decimal places. 0.0002769 What is -60.148731 rounded to the nearest 10? -60 Round -184.17677 to 1 dp. -184.2 Round -90.907545 to 2 dps. -90.91 Round 1.14663716 to two decimal places. 1.15 What is -91366430 rounded to the nearest 100000? -91400000 Round 0.09210700108 to 6 decimal places. 0.092107 Round 92949514.1 to the nearest one thousand. 92950000 Round 0.0000035982882 to six decimal places. 0.000004 Round 906.897884 to the nearest 10. 910 Round -7672500 to the nearest 1000000. -8000000 What is -0.001146435756 rounded to 6 dps? -0.001146 Round -0.0000092082756 to 7 dps. -0.0000092 Round -25255.36263 to 0 dps. -25255 Round -0.2022057729 to two dps. -0.2 Round 6333.0995 to the nearest one thousand. 6000 What is -0.00000195164133 rounded to six dps? -0.000002 What is -13111.8033 rounded to the nearest 100? -13100 Round 0.0075825426 to three decimal places. 0.008 Round -1181.76781 to the nearest 10. -1180 Round -129928.784 to the nearest 10000. -130000 What is -0.00046459769 rounded to four dps? -0.0005 Round 0.000571551396 to 4 decimal places. 0.0006 What is -9818.3765 rounded to the nearest integer? -9818 Round -128.7428773 to 0 dps. -129 What is 248757.9702 rounded to the nearest 10? 248760 Round -0.3968732307 to 4 dps. -0.3969 What is -0.616898726 rounded to one dp? -0.6 Round -2045.321 to the nearest ten. -2050 Round 75550.6016 to 0 decimal places. 75551 What is 1026.074884 rounded to two decimal places? 1026.07 Round -9.070917681 to three dps. -9.071 Round -6.70096286 to three dps. -6.701 What is -1.066683066 rounded to four dps? -1.0667 What is 0.0000005924705 rounded to seven dps? 0.0000006 Round -131957071 to the nearest ten thousand. -131960000 Round -79.311364 to 1 dp. -79.3 Round -0.00253024372 to four decimal places. -0.0025 Round 1159560.04 to the nearest 100. 1159600 What is -3257.0645 rounded to the nearest ten? -3260 What is 0.00003175716622 rounded to six decimal places? 0.000032 Round -66.2759263 to the nearest integer. -66 Round 0.08149183121 to 2 dps. 0.08 Round -10305865300 to the nearest 1000000. -10306000000 What is 18.963212 rounded to 1 decimal place? 19 What is 3204804.77 rounded to the nearest 10000? 3200000 Round 21932.3289 to the nearest one thousand. 22000 What is 930330132 rounded to the nearest one million? 930000000 What is 3503355430 rounded to the nearest one hundred thousand? 3503400000 What is -112.7594 rounded to the nearest 10? -110 Round -0.03442744537 to three dps. -0.034 Round -0.000454367253 to seven decimal places. -0.0004544 What is -27170.413 rounded to the nearest one hundred? -27200 Round 0.340064723 to 2 decimal places. 0.34 What is 0.0061040167 rounded to 5 decimal places? 0.0061 Round 0.000047119979 to 6 dps. 0.000047 Round 17790.397 to the nearest one hundred. 17800 Round 897295857 to the nearest one hundred thousand. 897300000 What is 6001.536397 rounded to the nearest 10? 6000 What is 14755.69802 rounded to 0 decimal places? 14756 Round -30.71203244 to two dps. -30.71 Round 7894416.1 to the nearest 1000. 7894000 What is -60161.081 rounded to the nearest one thousand? -60000 What is 1141.255572 rounded to the nearest 100? 1100 What is -0.00000267842373 rounded to six decimal places? -0.000003 What is 1.225615514 rounded to 2 decimal places? 1.23 Round -3.580683034 to four dps. -3.5807 Round 2.7319332 to the nearest ten. 0 What is -1.13403978 rounded to three decimal places? -1.134 What is 11142407.8 rounded to the nearest one million? 11000000 What is 2062848.655 rounded to the nearest 100000? 2100000 What is -8680805840 rounded to the nearest 100000? -8680800000 Round 82839.858 to the nearest 100. 82800 What is 0.00592871913 rounded to 4 decimal places? 0.0059 What is 0.0016675138 rounded to 6 dps? 0.001668 What is 50441349120 rounded to the nearest 1000000? 50441000000 Round -0.401097194 to 2 dps. -0.4 What is 24927.8301 rounded to the nearest 100? 24900 What is 33589.94229 rounded to the nearest 1000? 34000 Round 359579.2999 to the nearest 1000. 360000 What is -0.00445955444 rounded to 6 dps? -0.00446 Round 0.0092295405 to three decimal places. 0.009 What is 8.3071849 rounded to the nearest integer? 8 Round -1.417112605 to 2 dps. -1.42 What is -3080178480 rounded to the nearest one million? -3080000000 What is -0.0000005979379209 rounded to 7 decimal places? -0.0000006 What is 0.2060671916 rounded to 2 decimal places? 0.21 Round -0.000200562436 to five dps. -0.0002 What is -0.0001649554407 rounded to five decimal places? -0.00016 What is 4702.68348 rounded to the nearest one thousand? 5000 What is -40213606.9 rounded to the nearest 100000? -40200000 What is -16767.44422 rounded to the nearest 10000? -20000 Round -21376.82592 to the nearest one hundred. -21400 What is 4165800.25 rounded to the nearest 100? 4165800 What is -460958.17 rounded to the nearest 100? -461000 What is -16447.93 rounded to the nearest 100? -16400 Round -0.27700292 to 2 dps. -0.28 What is 0.0799850895 rounded to 3 dps? 0.08 Round -0.25327783 to one dp. -0.3 What is 769.52855 rounded to zero dps? 770 What is 438.170196 rounded to the nearest one hundred? 400 Round -0.0000144065272 to six decimal places. -0.000014 What is -0.378600889 rounded to 2 dps? -0.38 What is -918.17381 rounded to 1 dp? -918.2 What is 3272354.4 rounded to the nearest one hundred thousand? 3300000 What is 139.085149 rounded to 1 decimal place? 139.1 Round -2124187420 to the nearest one million. -2124000000 What is -4222087270 rounded to the nearest 100000? -4222100000 What is 677.766628 rounded to the nearest ten? 680 What is -0.000000748334126 rounded to seven decimal places? -0.0000007 Round 26135.97347 to the nearest 100. 26100 What is 216.23368 rounded to the nearest integer? 216 Round 1239.5910605 to the nearest ten. 1240 What is 76.25567886 rounded to the nearest ten? 80 What is -0.7765327 rounded to zero decimal places? -1 Round -1140877748 to the nearest one million. -1141000000 What is 16.49194074 rounded to zero decimal places? 16 Round -0.4556453 to four decimal places. -0.4556 Rou
{ "pile_set_name": "DM Mathematics" }
2? False Suppose -3*m = -m - 28. Let z = -12 + m. Suppose -4*a + 136 = -k + 5*k, -z*a = 4*k - 144. Does 19 divide k? True Let l(y) be the first derivative of y**4/12 - y**3/6 + 21*y**2/2 - 4*y - 3. Let u(r) be the first derivative of l(r). Does 21 divide u(0)? True Let i = 886 + -888. Let f(x) = -3*x**3 - 2*x - x**3 - 1 + x**3 - 2*x**2. Does 3 divide f(i)? False Let o(h) = -h**2 + 5*h - 3. Let s be o(3). Does 19 divide (3/(-3))/(s/(-57))? True Let f = -36 + 37. Does 8 divide 38 - 23 - (f - 2)? True Let z(k) = -524*k**3 + 5*k**2 + 10*k + 7. Does 13 divide z(-2)? True Does 121 divide 188/470*(6655 + 0)? True Suppose 2*x + 0*k - 4 = 4*k, 5*k - 1 = x. Suppose -2*o + 480 = 5*m, -3*m + 262 = -0*m - x*o. Does 25 divide m? False Let u be 0/(9/3) - 2. Let a(y) = y**3 + 4*y**2 - 3. Let r be a(u). Suppose 116 = 2*m + 4*s, -r*m = -m - 3*s - 188. Is m a multiple of 11? False Let g(q) be the first derivative of 11/2*q**2 + 1/3*q**3 + 1 - 12*q. Does 7 divide g(-13)? True Let q(a) = a**3 + 5*a**2 - 7*a - 3. Let s be q(-6). Suppose p = s*p - 74. Is 37 a factor of p? True Let v(u) be the first derivative of -16*u**2 + 22*u - 4. Does 38 divide v(-10)? True Let x(i) = -10*i + 14. Let z be x(22). Let y = -106 - z. Is 25 a factor of y? True Suppose -3*v = 0, 0*v = 5*t - 2*v + 155. Is t/(-3) + (-8)/24 a multiple of 3? False Let t be -3 - 1*(-4 + -1). Suppose -t*x + 5*x = 69. Does 20 divide x? False Is 13 a factor of 51*2*(8 + -4 + 0)? False Does 12 divide (-41 + -19)*(1 - (3 + -1))? True Suppose -88*t + 20281 + 66751 = 0. Is t a multiple of 25? False Let b = -1 + 2. Let h = -6 + b. Let d(q) = -2*q**3 - 6*q**2 - q. Is 35 a factor of d(h)? True Suppose 4*q + 8 = 0, 5*k - q - 3066 - 1861 = 0. Is k a multiple of 53? False Let h(t) = -2*t - 9. Let f be h(-5). Let y be (-1 + f)*(-12 - -13). Suppose y = 4*u - 296 + 68. Does 17 divide u? False Is (-1 - -11) + 277 + -17 a multiple of 2? True Suppose 2*d - 3*w - 59 = 0, 26 = 2*d + 2*w - 28. Let j = d - -40. Let t = j + -42. Does 26 divide t? True Suppose -14*g = -18*g - k + 537, -5*k + 120 = g. Is g a multiple of 63? False Let o(j) = 21*j - 21. Let p(w) = 20*w - 22. Let m(a) = -4*o(a) + 5*p(a). Does 41 divide m(7)? False Let s = 686 - 312. Does 11 divide s? True Is 14 a factor of (-35)/15*(-142 - (-3)/3)? False Let w be (-152)/28 - 3/(-7). Let t(b) = -b - 4. Let m be t(w). Is ((-1)/m)/(2/(-64)) a multiple of 8? True Suppose 2*m = -0 - 4. Let x be m - 60/(-2 - -6). Let q = x - -37. Does 10 divide q? True Let t = -36 - -96. Suppose b = 5*q + t, 3*q + 80 = 2*b + q. Is b a multiple of 7? True Suppose 0 = -52*o + 39*o + 1885. Does 29 divide o? True Does 89 divide ((-27)/5 - 1)*(-26 + -179)? False Is 17 a factor of (1 + (-1 - -17))/(222/4662)? True Let m(o) = -o**2 + 76*o - 209. Is m(63) a multiple of 29? False Let z(q) = 6 + 6*q - 7 + 0 + 9. Let v(j) = j**2 - 6*j + 4. Let l be v(6). Is z(l) a multiple of 17? False Let s(h) = -3*h**2 + 171. Does 19 divide s(0)? True Let j(s) = 10*s + 6*s**2 - 5*s + s**3 - 3 + 0*s**3 + 2*s**2. Let m be j(-7). Suppose -4*o = -p + 19, 3 + m = p - 5*o. Is p a multiple of 12? False Let y be (-12)/(-10)*80/(-24). Let g = 1 - y. Suppose o - 3*m = -8, -g*m + 0*m = 5*o - 60. Is 3 a factor of o? False Let r(t) = -80*t - 101. Is r(-5) a multiple of 23? True Let z(x) = -152*x - 28. Is 57 a factor of z(-3)? False Let b be (72/5)/(12/90). Suppose 2*t + 3*j - 67 = 0, 3*t + b = 6*t + 3*j. Suppose -5*y + 117 = 2*c, y + 0*c = 4*c + t. Is y a multiple of 5? True Let y(g) = -g**3 + 25*g**2 - 25*g + 12. Is 122 a factor of y(18)? True Suppose -4*v = 83 - 163. Is 2 a factor of (0 - -1)*v - (-34 - -37)? False Let m(q) be the second derivative of -q**8/672 + q**7/2520 + q**5/120 + q**4/3 - 9*q. Let n(c) be the third derivative of m(c). Is n(-2) a multiple of 22? False Suppose -871 = 5*c + 34. Let p = -69 - c. Does 16 divide p? True Is 19 a factor of (6 - -53)/(2/38)? True Let u(k) = 6*k**2 + 11*k - 14. Suppose -w - 4*w = 45. Let a be u(w). Suppose a = 5*c - n - n, -5*c = n - 376. Does 25 divide c? True Let g be 3/(-2)*(-12)/(-18). Let p be (39/(-12))/(g/12). Suppose -p = -5*k + 46. Is 17 a factor of k? True Suppose -43*d = -38286 + 2897. Is 16 a factor of d? False Let r(d) be the second derivative of 1/20*d**5 - 7*d + 1/3*d**3 + 0 + 0*d**2 + 1/12*d**4. Is 4 a factor of r(2)? True Let l(n) = 3*n**2 - 12*n + 2. Let k be l(4). Is (320/16)/(1/k) a multiple of 10? True Suppose 8*l + 588 = 29*l. Is l a multiple of 2? True Let t(m) = m**3 + 5*m**2 - m - 3. Let q be t(-5). Is 42 - ((-1 - q) + 1) a multiple of 11? True Let f = -304 - -180. Let x be 4*(-4 - f/(-16)). Let h = x + 67. Is 7 a factor of h? False Let n(k) = -4006*k + 45. Is 106 a factor of n(-1)? False Let q = 1151 + -232. Is 75 a factor of q? False Let u be (-50)/(7/((-42)/4)). Suppose 0 = 5*i - 2*i - u. Suppose -4*j - i = -9*j. Is 2 a factor of j? False Let d(k) = k**3 - k**2 - 5*k + 2. Let u be d(5). Suppose 3*r - u = 70. Let t = r - 29. Does 20 divide t? True Let v be 7/(21/12) + 1. Let n = v + 39. Does 22 divide n? True Suppose 0 = -5*a - 4 + 39. Let s = a - -10. Does 4 divide s? False Does 86 divide 5 - 5/(-3 - 3858/(-1287))? True Let j be (-2 + 12)/(0 + 2). Let c = 0 + j. Does 10 divide ((-2)/c)/((-5)/300)? False Suppose 0 = q - 4*q - 5*f - 14, -5 = 2*q - f. Is 12 a factor of (q/((-75)/(-580)))/(4/(-10))? False Let a(h) = -4*h**3 + 4*h**2 - 8*h - 20. Does 28 divide a(-3)? False Let z(k) = -k**3 - 9*k**2 - 36*k - 16. Is z(-9) a multiple of 26? False Suppose 4*w = 52 + 668. Is 18 a factor of w? True Let k(l) = -4*l + 2. Let j be k(3). Let g(u) = -7*u + 14. Is g(j) a multiple of 12? True Let v(z) = -z**2 - 12*z + 2. Let g be v(-12). Suppose 0 = g*m + 2*o - o - 65, 0 = 3*o + 3. Does 8 divide m? False Let b(r) = -24*r - 150. Let t be b(-6). Let d(i) = -3*i - 2. Let p be d(-6). Is ((-225)/t)/(12/p) a multiple of 13? False Let m be -1 + 0 + (0 - -3). Suppose m*j = -j + 5*x - 365, -2*x = -4*j - 510. Is j/(-4) + 5/(-10) a multiple of 17? False Let t be (-198)/(-3) - (-4 + 2). Suppose 4*w - 4 - t = 0. Let m = w + -6. Is 8 a factor of m? False Let f = 4 + -2. Let a = -4 - f. Let l(z) = -z + 6. Is l(a) a multiple of 12? True Suppose -3*g - 14 = -10*g. Suppose -u - 7*s + 23 = -2*s, 3*s = g*u - 46. Does 23 divide u? True Let l(j) = -5*j - 3. Let f be l(-1). Suppose 3*i - 79 = 2*a, 4*i + f*a - 105 = 5*a. Is 7 a factor of i? False Let m(q) = 2*q**3 - 5*q**2 + 4*q + 2. Let y(n) = 3*n**2 + 1. Suppose 0*b + 5 = -5*b. Let w be y(b). Is 22 a factor of m(w)? True Suppose -2*g - 1 = -7. Suppose -3*h = -5*f + 29, g*f - 5*h - 24 = 3. Suppose -9*q + 195 = -f*q. Is q a multiple of 13? True Suppose p = -4*m + 1657, 0 = 10*m - 11*m - 3*p + 406. Does 47 divide m? False Suppose 2*s + f = 980, 13*f - 500 = -s + 10*f. Is s a multiple of 38? False Let o = 9 - 20. Does 5 divide (o + -1)*(-5)/2? True Suppose -5*w + 19 = 4. Suppose -10 = -w*h - 1. Suppose -3*s - 3*p + 168 = 0, 0 = 5*p - h*p - 8. Is s a multiple of 26? True Does 45 divide (-5)/(5/(-844)) + -111 + 119? False Does 14 divide -12 - -9 - (-324 + -1)? True Let q(y) = -y**3 + 3*y**2 - y + 5. Suppose 3*r - 7 = 2. Let u be q(r). Suppose u*f = 5*f - 333. Does 37 divide f? True Let l(c) = 89*c**2 + c - 1. Let x be l(1). Let a = -14 + x. Suppose a = 4*o - 225. Is o a multiple of 15? True Let d(g) = -2 + 4*g**3 + 21*g - 10*g - 2*g**3 - 13*g**2 - 3*g**3. Is 12 a factor of d(-14)? False Let m be (1 - 0)*(105 - -4). Suppose -o + m = d, -4*o - o + 5*d = -545. Let i = 184 - o. Is i a multiple of 22? False Let o(g) = 15*g + 9. Let b be o(2). Suppose 0 = -9*w + 597 - b. Does 13 divide w? False Let f = -12 - -8. Let b = f - -9. Suppose 0 = -b*x - 2 - 3, -3*t + 19 = 5*x. Is t a multiple of 4? True Suppose 4*a - 19115 = -3*b - 5515, -a = 5*b - 3400. Is a a multiple of 34? True Suppose 0 = 4*q + 21 - 65. Is 11 a factor of q? True Suppose -t - 2*b = -0*t - 41, 41 = t - 4*b. Is 5 a factor of t? False Does 30 divide 1802/4 - ((-231)/22 + 11)? True Suppose 0*q + 4*q = -256. Let d be 1/3*-3 - q. Let k = d - 41. Is 11 a factor of k? True Let t = 67 + -39. Let p be (-6)/21 - (-988)/t. Let j = 75 - p. Does 14 divide j? False Let m = 142 + 272. Is 18 a factor of m? True Let c = 23 + 1. Suppose -b = b - c. Is b a multiple of 3? True Let z(c) = c + 14. Let k be (-
{ "pile_set_name": "DM Mathematics" }
- 9*l - 95 What is the i'th term of -80, -149, -218, -287, -356, -425? -69*i - 11 What is the b'th term of -62, -7, 168, 523, 1118, 2013, 3268? 10*b**3 - 15*b - 57 What is the z'th term of -1006, -1007, -1008? -z - 1005 What is the r'th term of 323, 321, 319? -2*r + 325 What is the n'th term of 2, 11, 24, 41? 2*n**2 + 3*n - 3 What is the q'th term of 782, 785, 788, 791? 3*q + 779 What is the k'th term of -74, -110, -178, -284, -434, -634? -k**3 - 10*k**2 + k - 64 What is the i'th term of 441, 411, 381, 351, 321, 291? -30*i + 471 What is the p'th term of 16, 43, 98, 193, 340, 551, 838, 1213? 2*p**3 + 2*p**2 + 7*p + 5 What is the v'th term of 1392, 1436, 1472, 1494, 1496, 1472, 1416? -v**3 + 2*v**2 + 45*v + 1346 What is the n'th term of 701, 700, 691, 668, 625, 556? -n**3 + 2*n**2 + 700 What is the j'th term of 256, 264, 270, 274? -j**2 + 11*j + 246 What is the x'th term of -44, -75, -90, -89? 8*x**2 - 55*x + 3 What is the g'th term of -118, -624, -1474, -2674, -4230, -6148, -8434, -11094? -g**3 - 166*g**2 - g + 50 What is the x'th term of -2249, -2281, -2311, -2339, -2365, -2389? x**2 - 35*x - 2215 What is the w'th term of -66, -63, -60, -57, -54? 3*w - 69 What is the t'th term of 156, 162, 168, 174? 6*t + 150 What is the q'th term of -13, -16, -21, -28, -37? -q**2 - 12 What is the t'th term of 180, 165, 142, 105, 48, -35? -t**3 + 2*t**2 - 14*t + 193 What is the y'th term of 65, 130, 267, 500, 853, 1350? 4*y**3 + 12*y**2 + y + 48 What is the r'th term of 186, 372, 558, 744, 930? 186*r What is the c'th term of -93, -102, -113, -126, -141, -158, -177? -c**2 - 6*c - 86 What is the n'th term of -3140, -3142, -3144, -3146, -3148, -3150? -2*n - 3138 What is the b'th term of 123, 131, 143, 159, 179, 203, 231? 2*b**2 + 2*b + 119 What is the o'th term of -102, -100, -100, -102? -o**2 + 5*o - 106 What is the m'th term of -392, -391, -390, -389, -388, -387? m - 393 What is the b'th term of 153, 320, 497, 690, 905, 1148, 1425? b**3 - b**2 + 163*b - 10 What is the r'th term of 101, 109, 121, 137, 157? 2*r**2 + 2*r + 97 What is the l'th term of 29, 32, 43, 68, 113, 184? l**3 - 2*l**2 + 2*l + 28 What is the n'th term of 398, 396, 394? -2*n + 400 What is the h'th term of -1033, -2058, -3083, -4108, -5133, -6158? -1025*h - 8 What is the j'th term of -1098, -1100, -1104, -1110? -j**2 + j - 1098 What is the k'th term of -34, -63, -92? -29*k - 5 What is the q'th term of 220, 439, 658, 877, 1096, 1315? 219*q + 1 What is the f'th term of 28, 37, 52, 73, 100? 3*f**2 + 25 What is the m'th term of 484, 956, 1422, 1882, 2336, 2784? -3*m**2 + 481*m + 6 What is the c'th term of -79, -91, -117, -163, -235? -c**3 - c**2 - 2*c - 75 What is the q'th term of -1378, -1380, -1382, -1384, -1386, -1388? -2*q - 1376 What is the j'th term of -24, -23, -14, 9, 52? j**3 - 2*j**2 - 23 What is the k'th term of -54, -70, -94, -126, -166, -214? -4*k**2 - 4*k - 46 What is the k'th term of 1327, 1329, 1327, 1321, 1311, 1297, 1279? -2*k**2 + 8*k + 1321 What is the d'th term of 11, 10, 7, 2, -5? -d**2 + 2*d + 10 What is the n'th term of 21, 46, 67, 78, 73? -n**3 + 4*n**2 + 20*n - 2 What is the y'th term of -232, -248, -264? -16*y - 216 What is the z'th term of 120, 238, 364, 504, 664, 850, 1068? z**3 - 2*z**2 + 117*z + 4 What is the n'th term of 9956, 9960, 9964, 9968, 9972? 4*n + 9952 What is the l'th term of -11, -12, -11, -14, -27, -56, -107? -l**3 + 7*l**2 - 15*l - 2 What is the f'th term of 655, 1345, 2035, 2725, 3415, 4105? 690*f - 35 What is the k'th term of 36, -14, -96, -210, -356? -16*k**2 - 2*k + 54 What is the v'th term of 101, 372, 811, 1418, 2193, 3136? 84*v**2 + 19*v - 2 What is the x'th term of -53, -210, -473, -842? -53*x**2 + 2*x - 2 What is the w'th term of -51, -89, -147, -237, -371, -561, -819, -1157? -2*w**3 + 2*w**2 - 30*w - 21 What is the y'th term of -89, -82, -71, -56, -37? 2*y**2 + y - 92 What is the f'th term of -57, -62, -77, -108, -161, -242, -357? -f**3 + f**2 - f - 56 What is the g'th term of -65, -66, -59, -38, 3, 70, 169? g**3 - 2*g**2 - 2*g - 62 What is the x'th term of 3, 24, 57, 102, 159, 228? 6*x**2 + 3*x - 6 What is the w'th term of 195, 391, 587? 196*w - 1 What is the t'th term of 287, 550, 787, 986, 1135, 1222? -2*t**3 - t**2 + 280*t + 10 What is the f'th term of 9, 55, 131, 237, 373, 539, 735? 15*f**2 + f - 7 What is the s'th term of -1251, -2498, -3755, -5028, -6323, -7646, -9003, -10400? -s**3 + s**2 - 1243*s - 8 What is the v'th term of -13, -62, -197, -460, -893, -1538? -7*v**3 - v**2 + 3*v - 8 What is the f'th term of 183, 363, 547, 735, 927? 2*f**2 + 174*f + 7 What is the v'th term of -6592, -13185, -19778, -26371, -32964? -6593*v + 1 What is the d'th term of -206, -77, 138, 439? 43*d**2 - 249 What is the c'th term of -145, -265, -385, -505, -625? -120*c - 25 What is the r'th term of 227, 295, 363, 431? 68*r + 159 What is the l'th term of -23, -41, -69, -113, -179, -273, -401? -l**3 + l**2 - 14*l - 9 What is the s'th term of 32, 36, 42, 50? s**2 + s + 30 What is the c'th term of 159, 196, 221, 228, 211? -c**3 + 44*c + 116 What is the o'th term of 6, 11, 16, 21, 26? 5*o + 1 What is the s'th term of 366, 721, 1068, 1401, 1714, 2001? -s**3 + 2*s**2 + 356*s + 9 What is the n'th term of 435, 865, 1285, 1689, 2071, 2425, 2745, 3025? -n**3 + n**2 + 434*n + 1 What is the w'th term of -83, -133, -165, -173, -151, -93, 7? w**3 + 3*w**2 - 66*w - 21 What is the z'th term of 57, 123, 199, 279, 357, 427, 483? -z**3 + 11*z**2 + 40*z + 7 What is the g'th term of 15178, 30359, 45540, 60721, 75902, 91083? 15181*g - 3 What is the n'th term of -497, -926, -1345, -1748, -2129, -2482, -2801? n**3 - n**2 - 433*n - 64 What is the a'th term of -382, -391, -414, -457, -526, -627? -a**3 - a**2 + a - 381 What is the j'th term of -89, -193, -297, -401? -104*j + 15 What is the u'th term of -275, -283, -291? -8*u - 267 What is the v'th term of -26, -44, -66, -92, -122, -156, -194? -2*v**2 - 12*v - 12 What is the p'th term of 18, 20, 24, 30, 38, 48? p**2 - p + 18 What is the l'th term of 49, 82, 115? 33*l + 16 What is the t'th term of -4, 43, 122, 233? 16*t**2 - t - 19 What is the n'th term of -258, -1047, -2364, -4209, -6582, -9483, -12912? -264*n**2 + 3*n + 3 What is the d'th term of -58, -252, -568, -1000, -1542? d**3 - 67*d**2 + 8 What is the g'th term of 154, 318, 482? 164*g - 10 What is the z'th term of 596, 1191, 1786, 2381, 2976, 3571? 595*z + 1 What is the w'th term of 0, 45, 126, 249, 420, 645, 930, 1281? w**3 + 12*w**2 + 2*w - 15 What is the w'th term of 181, 172, 163, 154, 145? -9*w + 190 What is the f'th term of 2079, 4153, 6225, 8295, 10363, 12429, 14493? -f**2 + 2077*f + 3 What is the v'th term of 177, 680, 1517, 2688, 4193? 167*v**2 + 2*v + 8 What is the o'th term of 12, 16, 32, 66, 124, 212, 336? o**3 - 3*o + 14 What is the k'th term of 28, 43, 56, 67, 76, 83, 88? -k**2 + 18*k + 11 What is the t'th term of -68, -218, -546, -1142, -2096? -15*t**3 + t**2 - 48*t - 6 What is the w'th term of 102, 92, 66, 18, -58, -168? -w**3 - 2*w**2 + 3*w + 102 What is the m'th term of 548, 2192, 4932, 8768, 13700, 19728? 548*m**2 What is the a'th term of 21, 25, 27, 21, 1, -39, -105, -203? -a**3 + 5*a**2 - 4*a + 21 What is the r'th term of -1210, -2406, -3604, -4804, -6006, -7210, -8416? -r**2 - 1193*r - 16 What is the l'th term of -2457, -4925, -7393? -2468*l + 11 What is the z'th term of -1, -18, -45, -88, -153, -246, -373? -z**3 + z**2 - 13*z + 12 What is the u'th term of -3455, -3456, -3457? -u - 3454 What is the i'th term of 16, 17, 20, 25, 32, 41, 52? i**2 - 2*i + 17 What is the r'th term of 24, 67, 144, 261, 424, 639, 912, 1249? r**3 + 11*r**2 + 3*r + 9 What is the c'th term of 12, 49, 114, 207, 328, 477, 654? 14*c**2 - 5*c + 3 What is the j'th term of -41, -25, -9? 16*j - 57 What is the v'th term of -207, -407, -607, -807? -200*v - 7 What is the m'th term of -61, -41, -21, -7, -5? -m**3 + 6*m**2 + 9*m - 75 What is the z'th term of -493, -491, -489, -487, -485, -483? 2*z - 495 What is the w'th term of 107, 124, 153, 200, 271? w**3 + 10*w + 96 What is the c'th term of -42, -11, 22, 57, 94, 133, 174? c**2 + 28*c - 71 What is the k'th term of -103, -195, -277, -343, -387? k**3 - k**2 - 96*k - 7 What is the m'th term of -336, -671, -1004, -1335, -1664, -1991, -2316? m**2
{ "pile_set_name": "DM Mathematics" }
s 9141324 to the power of 1/4, to the nearest integer? 55 What is 1706810 to the power of 1/2, to the nearest integer? 1306 What is the square root of 419858 to the nearest integer? 648 What is 305435 to the power of 1/3, to the nearest integer? 67 What is the square root of 10381859 to the nearest integer? 3222 What is the eighth root of 903618 to the nearest integer? 6 What is the ninth root of 2032488 to the nearest integer? 5 What is the seventh root of 158565 to the nearest integer? 6 What is the square root of 142605 to the nearest integer? 378 What is the seventh root of 123724 to the nearest integer? 5 What is the square root of 1502792 to the nearest integer? 1226 What is 713930 to the power of 1/2, to the nearest integer? 845 What is 1577049 to the power of 1/7, to the nearest integer? 8 What is 206233 to the power of 1/7, to the nearest integer? 6 What is the sixth root of 6781536 to the nearest integer? 14 What is 138593 to the power of 1/2, to the nearest integer? 372 What is 17517054 to the power of 1/2, to the nearest integer? 4185 What is the third root of 7790312 to the nearest integer? 198 What is 1160433 to the power of 1/2, to the nearest integer? 1077 What is 2000977 to the power of 1/2, to the nearest integer? 1415 What is 3050079 to the power of 1/2, to the nearest integer? 1746 What is 2327667 to the power of 1/3, to the nearest integer? 133 What is 7271838 to the power of 1/6, to the nearest integer? 14 What is the third root of 11929239 to the nearest integer? 228 What is 13006468 to the power of 1/2, to the nearest integer? 3606 What is the ninth root of 6213453 to the nearest integer? 6 What is the square root of 916073 to the nearest integer? 957 What is the cube root of 17226996 to the nearest integer? 258 What is 281773 to the power of 1/4, to the nearest integer? 23 What is 11345973 to the power of 1/2, to the nearest integer? 3368 What is the third root of 744865 to the nearest integer? 91 What is 1157516 to the power of 1/4, to the nearest integer? 33 What is 5454172 to the power of 1/5, to the nearest integer? 22 What is 4634656 to the power of 1/9, to the nearest integer? 6 What is the square root of 21258358 to the nearest integer? 4611 What is 20599 to the power of 1/4, to the nearest integer? 12 What is the tenth root of 383404 to the nearest integer? 4 What is the square root of 16027822 to the nearest integer? 4003 What is 467439 to the power of 1/2, to the nearest integer? 684 What is the third root of 6458952 to the nearest integer? 186 What is the third root of 1767000 to the nearest integer? 121 What is the ninth root of 4669276 to the nearest integer? 6 What is the square root of 1358591 to the nearest integer? 1166 What is 8378750 to the power of 1/2, to the nearest integer? 2895 What is 262731 to the power of 1/7, to the nearest integer? 6 What is the third root of 382679 to the nearest integer? 73 What is the square root of 614204 to the nearest integer? 784 What is the cube root of 43064903 to the nearest integer? 351 What is 19507282 to the power of 1/6, to the nearest integer? 16 What is 1030988 to the power of 1/2, to the nearest integer? 1015 What is the tenth root of 58585 to the nearest integer? 3 What is the square root of 3022695 to the nearest integer? 1739 What is 334070 to the power of 1/10, to the nearest integer? 4 What is 36599223 to the power of 1/3, to the nearest integer? 332 What is the square root of 360468 to the nearest integer? 600 What is 1112405 to the power of 1/2, to the nearest integer? 1055 What is 4890658 to the power of 1/4, to the nearest integer? 47 What is 17843239 to the power of 1/2, to the nearest integer? 4224 What is the third root of 108551 to the nearest integer? 48 What is the cube root of 59498 to the nearest integer? 39 What is 5893990 to the power of 1/3, to the nearest integer? 181 What is 6208680 to the power of 1/2, to the nearest integer? 2492 What is the square root of 958139 to the nearest integer? 979 What is the seventh root of 2406729 to the nearest integer? 8 What is the cube root of 7200247 to the nearest integer? 193 What is the cube root of 171839 to the nearest integer? 56 What is the fourth root of 2966553 to the nearest integer? 42 What is the fourth root of 126781 to the nearest integer? 19 What is 260524 to the power of 1/2, to the nearest integer? 510 What is the third root of 11038297 to the nearest integer? 223 What is the third root of 575944 to the nearest integer? 83 What is 340638 to the power of 1/2, to the nearest integer? 584 What is 1072603 to the power of 1/3, to the nearest integer? 102 What is the sixth root of 4926277 to the nearest integer? 13 What is the square root of 2136976 to the nearest integer? 1462 What is 801783 to the power of 1/2, to the nearest integer? 895 What is the cube root of 895251 to the nearest integer? 96 What is the cube root of 4071019 to the nearest integer? 160 What is the sixth root of 2083839 to the nearest integer? 11 What is 3390889 to the power of 1/4, to the nearest integer? 43 What is the third root of 1213013 to the nearest integer? 107 What is the third root of 423519 to the nearest integer? 75 What is the cube root of 554048 to the nearest integer? 82 What is the square root of 2388746 to the nearest integer? 1546 What is 312832 to the power of 1/9, to the nearest integer? 4 What is 13487544 to the power of 1/5, to the nearest integer? 27 What is 1619933 to the power of 1/3, to the nearest integer? 117 What is the square root of 798635 to the nearest integer? 894 What is 14610496 to the power of 1/2, to the nearest integer? 3822 What is 408313 to the power of 1/5, to the nearest integer? 13 What is the square root of 60707 to the nearest integer? 246 What is 633707 to the power of 1/4, to the nearest integer? 28 What is 312639 to the power of 1/2, to the nearest integer? 559 What is the third root of 17483205 to the nearest integer? 260 What is the fifth root of 2410447 to the nearest integer? 19 What is 16198563 to the power of 1/6, to the nearest integer? 16 What is 121313 to the power of 1/2, to the nearest integer? 348 What is 932456 to the power of 1/2, to the nearest integer? 966 What is the fourth root of 63889 to the nearest integer? 16 What is the third root of 850753 to the nearest integer? 95 What is the third root of 3225877 to the nearest integer? 148 What is the eighth root of 432125 to the nearest integer? 5 What is 699184 to the power of 1/7, to the nearest integer? 7 What is the fourth root of 829398 to the nearest integer? 30 What is the cube root of 1628881 to the nearest integer? 118 What is the sixth root of 3080842 to the nearest integer? 12 What is the cube root of 221091 to the nearest integer? 60 What is the fifth root of 28052647 to the nearest integer? 31 What is 6994761 to the power of 1/2, to the nearest integer? 2645 What is the tenth root of 943091 to the nearest integer? 4 What is the fourth root of 57858 to the nearest integer? 16 What is 12645640 to the power of 1/3, to the nearest integer? 233 What is the square root of 1284344 to the nearest integer? 1133 What is 513353 to the power of 1/2, to the nearest integer? 716 What is 15616899 to the power of 1/2, to the nearest integer? 3952 What is 27504916 to the power of 1/2, to the nearest integer? 5245 What is the third root of 1925431 to the nearest integer? 124 What is 27166715 to the power of 1/3, to the nearest integer? 301 What is 4177802 to the power of 1/3, to the nearest integer? 161 What is 789044 to the power of 1/7, to the nearest integer? 7 What is 27684531 to the power of 1/7, to the nearest integer? 12 What is 25445 to the power of 1/6, to the nearest integer? 5 What is the cube root of 6264806 to the nearest integer? 184 What is the square root of 799 to the nearest integer? 28 What is 8375484 to the power of 1/2, to the nearest integer? 2894 What is the tenth root of 6438840 to the nearest integer? 5 What is 358999 to the power of 1/2, to the nearest integer? 599 What is the cube root of 564616 to the nearest integer? 83 What is 190200 to the power of 1/9, to the nearest integer? 4 What is 1222468 to the power of 1/8, to the nearest integer? 6 What is the seventh root of 1396043
{ "pile_set_name": "DM Mathematics" }
46*h - 1. Let n(u) = -2*a(u) + 11*v(u). List the prime factors of n(1). 2, 7, 37 Let w(c) = c**3 - 8*c**2 - 11. Let y be w(8). Let f(v) be the second derivative of -7*v**3/3 + 15*v**2 - 192*v. What are the prime factors of f(y)? 2, 23 Let b be 9568/156*6/4. Let c be (-11)/4 + 3/(-12). Let h = b - c. List the prime factors of h. 5, 19 Suppose 657*n + 87710 = 659*n. What are the prime factors of n? 5, 7, 179 What are the prime factors of (-5 - 1)*8/6*18344/(-64)? 2293 Let y = -70887 - -123964. What are the prime factors of y? 53077 Suppose 14*j + 12*j = 208728. List the prime factors of j. 2, 3, 223 Suppose -2*n + 7*n = -5*c + 8100, 7*n = -5*c + 11350. What are the prime factors of n? 5, 13 Let v(q) = 2*q**3 + 14*q**2 + 17*q + 52. Let y be v(-6). What are the prime factors of 490 - 0/(-1) - (y + -26)? 2, 13, 19 Suppose 5*h = -3*b + 28533, 18996 = 2*b + 6*h - 7*h. List the prime factors of b. 3, 3167 Suppose i - 1763 = 2*m, 3*m = -3*i + 1564 + 3680. List the prime factors of i. 1753 Suppose -2*p + 4 = 5*q - 1, 0 = 3*q - 5*p - 34. Suppose 27 - q = 8*s. Suppose -s*z - 2 = -14. List the prime factors of z. 2 Let m = 29792 + -4683. List the prime factors of m. 7, 17, 211 Let j(b) = -8716*b - 9257. What are the prime factors of j(-6)? 193, 223 Let i(q) = -16*q**3 - 5*q**2 + 5*q + 12. Suppose 2*b + 22 = -b + 2*h, -28 = 2*b - 4*h. What are the prime factors of i(b)? 2, 3, 13 Suppose 2700 = 19*v - 14*v. Let x = v + -320. What are the prime factors of x? 2, 5, 11 Let w = 7317 - -6482. List the prime factors of w. 13799 Suppose -7*n - 6*n + 9997 = 0. Let i = n - 449. What are the prime factors of i? 2, 5 Suppose 3*w - 2*k - 18288 = 0, -23*w + 24*w + 4*k - 6082 = 0. List the prime factors of w. 2, 11, 277 Suppose -x + 14920 = -3*h, 24*h - 44716 = -3*x + 22*h. List the prime factors of x. 2, 3727 What are the prime factors of (-3)/(-2) + 48134/4? 5, 29, 83 Let h = -33898 - -59560. What are the prime factors of h? 2, 3, 7, 13, 47 Let r(f) = -31*f**3 + 10*f**2 + 45*f + 184. What are the prime factors of r(-5)? 2, 1021 Suppose -5*i = 3*r - 192, -2*i = r - i - 66. Suppose -59 = -5*l - r. List the prime factors of (166/(-5))/(l/5). 83 List the prime factors of 7/6 - 426712/(-48). 17, 523 Let y = 1 + 2. Suppose -y*n - 6 = -0*n. What are the prime factors of 28 + (2 - (n + 3))/1? 29 Suppose 73799 = 4*g - 3*a, 0 = -438*g + 442*g + 3*a - 73841. What are the prime factors of g? 5, 3691 Let s be 0/(-27) + 1*4. Let c be 564/15 - s/(-10). Suppose -d = -p + c, -2*d + 187 = 4*p + d. What are the prime factors of p? 43 Let q = -424 + -232. What are the prime factors of (q/(-4))/(-1)*(-3)/3? 2, 41 Let f = 11 - -9. Suppose 12*n - 7*n = f. List the prime factors of n/(51/48 - 1). 2 Suppose r - d = -0*d + 24, 57 = 3*r + 2*d. Let n be (6/(-7))/((-3)/r). Suppose -3*h - 282 = -n*h. What are the prime factors of h? 2, 47 Let q be (-8)/(-6)*(3266 + 31). Suppose t - 1119 = -5*p, 2*t - 6*t + q = 4*p. What are the prime factors of t? 2, 547 Suppose -2*t + 2*c + 27 = t, 0 = 5*t - 5*c - 50. Suppose 52 = -5*h + t. Let q = 11 - h. List the prime factors of q. 2, 5 Let v = -44187 + 73942. What are the prime factors of v? 5, 11, 541 Let i(s) = -s**2 - 1. Let w be i(-2). Let l be 650/w - (8 - 4). Let y = 208 + l. What are the prime factors of y? 2, 37 Let j(g) = -g**3 + 16*g**2 - 2*g - 5. Let c be j(16). Let a = -46 - c. What are the prime factors of ((-2)/(-1))/((-6)/a)? 3 Let w(a) = -7 - 78*a - 4 - 703*a + 1. What are the prime factors of w(-1)? 3, 257 Let w(o) = 3*o**2 - 3*o. Suppose 2*b = k + 5, 1 = -5*b + 5*k + 21. Let r be b*2*33/(-22). What are the prime factors of w(r)? 2, 3 Let f be (28/14)/(2/(-18)*-1). Suppose f*v - 4*h + 976 = 22*v, -3*v + 724 = -5*h. What are the prime factors of v? 3 Let f = -172 - -169. What are the prime factors of f - ((-1716)/2 + -7)? 2, 431 Let v = -25 + 76. Let h = v - 114. Let n = 142 + h. What are the prime factors of n? 79 Suppose -4*c = -2*j + j, 0 = 2*c. Suppose j*h + 285 = 3*h. Let u = h - 7. What are the prime factors of u? 2, 11 Let u(i) = 141*i - 20. Let o(m) = -m**3 + 3*m**2 + 14*m - 16. Let d be o(5). Let k be u(d). Let p = -272 + k. List the prime factors of p. 2, 17 What are the prime factors of 1592540/55 - ((-42)/88 - 27/(-36))? 5, 5791 Let q be 30*145*(-12)/(-180). Let t(m) = 117*m**2 + 3*m - 3. Let d be t(2). Let s = d - q. List the prime factors of s. 181 List the prime factors of 320/(-35) - -10 - 186735/(-21). 8893 Suppose -96*j + 108*j = 39264. Suppose -2712 = -22*p + j. What are the prime factors of p? 2, 17 Let q(p) = 52*p**2 - 6*p + 6. Let r = 60 + -48. Let l be ((-16)/r)/(2/(-3)). What are the prime factors of q(l)? 2, 101 Suppose 12 = 4*w, w - 7668 = -4*n + 511. What are the prime factors of n? 2, 7, 73 Let y(w) = -107*w + 27. Let v(d) = d + 1. Let q(r) = 2*v(r) + y(r). Let t be q(-7). Suppose -24*x + t = -20*x. What are the prime factors of x? 191 What are the prime factors of 184388/(-32)*(-6 - 22/11)? 31, 1487 Suppose -4*k - 5*f = -3680, 3680 = 4*k - 0*f - f. Suppose 0 = -7*a + 6*a + 3*t + k, 4*t = 4*a - 3664. List the prime factors of a. 2, 457 Let r(q) = -28*q - 72. Let b(p) = -27*p - 73. Let l(o) = 5*b(o) - 4*r(o). What are the prime factors of l(-9)? 2, 5, 13 Let f(k) = -2*k + 31. Let v be f(14). Suppose 5*q + a - 7 = 5, q = -v*a - 6. List the prime factors of (-538)/(-5) - (q - 34/10). 2, 3 Let j(b) be the first derivative of -6*b**2 + 46*b + 138. Let q = 30 + -42. List the prime factors of j(q). 2, 5, 19 Let m = 36 + -33. Suppose -3*x + 4*k = m*k - 16, 0 = -x - 5*k - 16. Suppose q - 722 = -4*a + 3*q, -5*a + x*q + 895 = 0. What are the prime factors of a? 3, 61 Let w = -33 + 33. Let i be 33/(-3 + 2 + w). Let p = -24 - i. What are the prime factors of p? 3 Suppose -50457 - 82486 = -14*m + 67425. What are the prime factors of m? 2, 1789 Let x(o) = 170*o + 2 - 171*o - 10*o**3 - 2*o**2 - 16*o**3. List the prime factors of x(-2). 2, 3, 17 Let q(m) = -m**3 + 27*m**2 + m + 51. Let v be q(27). Suppose 0 = 5*b - 407 - v. List the prime factors of b. 97 List the prime factors of -7 - (-1)/((-35)/(-260)) - 337976/(-28). 12071 Let d(a) = -3409*a + 5585. List the prime factors of d(-19). 2, 3, 11, 13, 41 What are the prime factors of (784626/(-10))/(-3) + 2 - (-546)/(-2730)? 2, 13, 503 Let w = -912 + 7463. List the prime factors of w. 6551 Let r(v) be the third derivative of 31*v**2 + 7/2*v**3 - 1/6*v**4 + 0*v + 0. What are the prime factors of r(-18)? 3, 31 What are the prime factors of (-1 + 4)/((1/8)/(27412/231))? 2, 89 Suppose -5*x - 25 = 0, x - 5*x = 2*k + 30. Let m be (-2 - 1) + 416/(7 + k). Let j = 367 - m. What are the prime factors of j? 2, 3 Suppose 2*f = -4*m + 182, 2*m - 2*f = 41 + 41. Suppose 4*r - m = 60. List the prime factors of r. 2, 13 Suppose -5*x - 4*n - 10747 = 0, 3*x - 5*n + 3399 = -3064. What are the prime factors of 12/21 - x/21? 103 Let u be ((-186)/(-24))/(2/8). Suppose -5*y = u - 146. Suppose -y*a + 225 = -18*a. What are the prime factors of a? 3, 5 Let c be 798/(-4) + (-13)/26. Let w = -32 - c. What are the prime factors of w? 2, 3, 7 Let f = 1 - -11. Suppose f*q + 5*q - 3162 = 0. What are the prime factors of q? 2, 3, 31 Let m = 36 + -34. Suppose 5*b - 2*u - 88 = 0, -7*b - m*u = -2*b - 72. Let g(y) = 8*y + 40. List the prime factors of g(b). 2, 3, 7 Suppose 3*c - 6*c + 7830 = 0. Suppose 5*a - c = -5*b, -5*a = 2*b + 589 - 3208. Suppose s + 4*s = a. List the prime factors of s. 3, 5, 7 Suppose 2*b - 20*s - 1 = -17*s, -5*s + 15 = 0. Suppose -1160 = -2*c - 4*d, -2*d + 7*d + 2885 = b*c. List the prime factors of c. 2, 17 Suppose -y + 441 = 15. Let q(j) = -2*j**3 + 13*j**2 - 4*j - 7. Let o be q(6). Suppose -o*k = y - 1416. List the prime factors of k. 2, 3, 11 Suppose 0*m - 28868 = -28*m. List the prime factors of m. 1031 List the prime factors of (10*5/(-30))/((-79)/1892919). 5, 7, 163 Let y(a) = -a**2 - a + 4. Let c be y(0). Let d be ((-264)/(-20))/((c/10)/2). Suppose 7*b = 5*b + d. What are the prime factors of b? 3, 11 Suppose -4*j - 78*h = -73*h - 58192, 5*j + 2*h = 72757. List the prime factors of j. 3, 7, 11 Let h(r) = 14*r**3 + 2*r**2 + 2*r - 2. Let t be h(2). List the prime factors of -6*(t/(-4) + -1). 3, 7 Suppose 0 = 4*h - 6*h. Suppose h = 87*o - 81*o - 48. Suppose 0 = 8*j + o*j - 3872. What are
{ "pile_set_name": "DM Mathematics" }
+ -10. Which is the nearest to r? (a) -5 (b) 6 (c) o c Let l = -83/165 - -1/330. Which is the nearest to 0? (a) l (b) -0.3 (c) 2/11 (d) 0.02 d Let z = -2.31 - 2.69. Which is the closest to z? (a) 4 (b) -5/6 (c) 5 b Let k = -52 + 72. Let w = 19 - k. Which is the closest to w? (a) 1 (b) -0.2 (c) -5 b Let l be (0/7)/1 + -2*1. Which is the closest to l? (a) 0 (b) 1 (c) 3 a Let u = -0.6 - -0.9. Let n = 0.0235 - -0.3765. What is the nearest to 1 in 11, u, n? n Let i = -103 - -509/5. Let n = -8 - -31/4. Which is the closest to n? (a) i (b) 4 (c) -7 a Let a = 0.22 + -6.22. Let v = -6.2 - a. Let d = 16 + -110/7. What is the closest to d in -0.1, 2, v? -0.1 Let x = -0.1 + -0.1. Let j(d) = d**3 + 5*d**2 - 11*d - 3. Let q be j(2). Let i be ((-2)/5)/(40/(-75)). What is the closest to q in x, 0, i? i Let v = 342.8 + -343. Which is the nearest to 0? (a) -1 (b) -5/2 (c) v c Let y be -10*(-2)/10*2. Let m be 2/y - 18/(-4). Let i = 761 - 760. Which is the closest to i? (a) m (b) 0.1 (c) -5 b Let y = 3.05 - 0.05. Let m = 51 - 46.99. Let k = -0.01 + m. Which is the closest to 0.2? (a) k (b) y (c) -0.4 c Let p = 2/61 - 136/427. Let m = 0 + 0.5. Let q = m + -1. What is the closest to 0.2 in -0.4, p, q? p Suppose -5*i + 0*i = 10. Let t = i + 4. What is the nearest to -0.2 in -2/9, t, 2/7? -2/9 Let f(z) = z - 13. Let y be f(9). Suppose -2*t = 2*w + 6, -4*w = 2*t - 4 + 10. Which is the nearest to -1/4? (a) -1 (b) y (c) w c Let y = 3 + -5. Let w = -0.678 - -1.178. What is the closest to -1/6 in y, w, -1? w Let r(x) = -x**2 + 20*x - 3. Let t be r(20). Let h = 67/24 + -17/8. What is the nearest to h in -0.4, t, -1/5? -1/5 Suppose 4*r + 3*r = 15*r. What is the closest to r in -15/2, -1, -2? -1 Let h be 6/(-120)*-4 + (-1)/(-5). Which is the closest to -1? (a) h (b) -1 (c) 1 (d) 37 b Let v = 1.816 - 1.316. Which is the nearest to -0.2? (a) 0.075 (b) v (c) 3 (d) -1/2 a Let h = -835 + 835.06. What is the closest to -1 in h, 1, -2/11, 2/17? -2/11 Let q = 0.4 - 0.3. Let f = -0.0053 - -0.1053. Suppose 3*t = t - 2. What is the nearest to f in q, t, -4? q Let o be 42/(-8) + 2/8. Let n be 0 + 6 - ((-20)/(-8) + 2). What is the closest to 1 in o, -0.5, n? n Let v = -1.204 - -0.204. Let w be (-9)/12 - 18/(-24). Which is the closest to -2? (a) 0.16 (b) w (c) v c Let z = 3.22 - 3. Let i = z + 1.48. Let k = i - 1.7. Which is the nearest to -4? (a) k (b) 2 (c) 3 a Let t be ((-1)/1)/(2/(-4)) - -1. Let f be 0 + -1 - t/(120/(-56)). Which is the nearest to f? (a) -2/3 (b) 5 (c) 2/7 c Let u be (3 - 5 - 17) + -1. Let r be 1*(36/u)/(-3). Which is the closest to 1? (a) 0.2 (b) -2 (c) r c Let g = 208 - 221. Which is the nearest to 0.1? (a) 1.2 (b) g (c) -2 a Let r(v) = v - 19. Let y be r(17). Which is the nearest to -1/3? (a) y (b) -13 (c) 2 (d) 0.1 d Let u(m) = -m**3 - 3*m**2 + 3*m + 2. Let c be u(-4). Let q(g) = -14*g + 9*g + 9 + c*g. Let o be q(-5). What is the closest to 0.1 in -5, 5, o? o Let o = 609/19 + -32. Let f = 33/95 + o. Which is the closest to 1/2? (a) -0.5 (b) -3 (c) f c Let g = -1.752 + -0.248. What is the nearest to g in 5/3, -5, -2? -2 Suppose -4*j = 17 + 3. Let l = -279/4 + 2503/36. Which is the nearest to 1/4? (a) j (b) -0.2 (c) l b Let v(u) be the first derivative of -u**2/2 + 8*u - 5. Let a be v(0). Let s be ((-8)/(-10))/(a/(-20)). What is the nearest to 0.1 in s, 0.2, -4? 0.2 Suppose 0 = -4*a + 5*i - 19, -16 = -a + 2*a + i. Let q be -1*(a/3 + 3). What is the nearest to q in 1, -1, 3? 1 Suppose 100 = -4*j - 16*j. Which is the closest to 0.1? (a) j (b) -2/21 (c) 0.5 b Let t be -6*((-45)/(-10))/(-9). Which is the closest to 2/7? (a) 0.5 (b) 4 (c) t a Let y = 33 + -173. Which is the nearest to 0.1? (a) y (b) 4 (c) -2 c Let r = 754.2 - 754. What is the nearest to -1 in -0.4, 1/2, r, -4? -0.4 Let u = -0.11 - 4.89. Suppose -5*s + 20 - 5 = 0. Let b = 2338/3 + -780. What is the closest to b in 1, s, u? 1 Let p = -5 - -9. Suppose 2*w + 20 = p*w. Suppose 7*r - w*r = 0. Which is the closest to -2? (a) -1/5 (b) 2/11 (c) r a Let h = -9.4 - -9.1. Let o = 0.18 + 0.22. Which is the closest to 1/3? (a) -4 (b) o (c) h b Let v = -0.085 - -0.385. What is the closest to 0.07 in 2/9, v, 5? 2/9 Suppose k - 3*h + 6 = 0, 3*h + 22 = 3*k + 2*h. Let r = -3 + k. Let o be 0 - (-5)/((-70)/r). Which is the closest to -2/5? (a) -1 (b) 1 (c) o c Let g = 1015 - 1015. Which is the nearest to g? (a) 16 (b) -0.5 (c) -0.3 c Let r(u) = -u**2 + 4*u - 3. Let q be r(3). Let d = -473.2 - -473. Let v = -4 - -4.1. Which is the nearest to v? (a) q (b) -5 (c) d a Let w = -1/39 - -43/156. Let n = -39 - -64. Let s = n - 27. What is the nearest to s in w, -5, -0.3? -0.3 Suppose -s + 4 = 3*g, 5*s + g + 3*g = 31. Let f = -638 - -639. What is the nearest to s in 1/9, -1, f? f Let a = -0.8 - -0.4. Let n = 6.5 - 6.6. Let i = -18 - -17.7. What is the nearest to 0.1 in n, i, a? n Let k(j) = -j**3 + 21*j**2 + 5*j - 103. Let p be k(21). What is the closest to -26 in p, -1/7, 2/7? -1/7 Let t = 0.5567 + -0.1567. Which is the closest to -0.3? (a) -3 (b) -2 (c) 0 (d) t c Let a = 0.07 + 3.93. What is the closest to 5 in -0.3, -1/6, 0.2, a? a Let f = -21 + 14. Let l = -37/3 + 250/21. Which is the closest to 0? (a) -3 (b) l (c) f b Let v = 642/5 - 639/5. Which is the nearest to -6? (a) v (b) -4 (c) -0.2 (d) -3/5 b Let d = -7.33 + 7.6. Let z = 0.17 - d. Let s be 1/(7 - 1)*4. What is the nearest to z in s, -3, -0.5? -0.5 Let w = -492 + 492. What is the nearest to -0.1 in w, -2/17, 0.4, -2/9? -2/17 Let m = 6 - 1. Let t = 200 - 602/3. Which is the nearest to t? (a) 2 (b) m (c) 0.2 c Let l = 1023 - 1022.9. Let d = -17/60 - 1/20. What is the nearest to l in 5, -0.3, d? -0.3 Let q = 413 - 1655/4. What is the closest to 1/2 in -1/3, -6/11, q, -14? -1/3 Let k = -981 + 980. Which is the closest to k? (a) 1.7 (b) 5 (c) -0.5 c Let g be (-1)/3 - (-30)/225. Which is the nearest to 0.2? (a) 18 (b) g (c) 4 b Let u = -25 + 177/7. Let a = 3 - -9. Let q = 19 - a. What is the closest to u in -0.2, -4, q? -0.2 Let z = -3 + -1. Let q = 15104 + -105730/7. Which is the closest to q? (a) -3/4 (b) z (c) -1 a Let n = -226 - -221. Which is the nearest to 14? (a) -4 (b) -3 (c) n b Let f be ((-208)/(-24) + -9)*(-27)/12. Which is the nearest to 2/13? (a) -0.5 (b) f (c) -81 b Suppose 306*n - 261 = 277*n. Which is the nearest to -0.1? (a) 2 (b) n (c) -1/2 (d) 2/3 c Let x be 6/4*2/(-9). Let g = -23.26 - -23. Let w = -5.26 - g. What is the closest to x in -0.4, w, -4? -0.4 Let j = -14649 + 14652. Let x be ((-4)/6)/((-3)/18). Suppose -x*i = 1 + 15. Which is the nearest to 3? (a) j (b) i (c) -5 a Let o = -252 + 256. Which is the closest to -1? (a) o (b) -3/7 (c) -9/5 b Let f = 86.9 - 88.9. What is the nearest to -1/3 in -1.4, 0.4, f, 3? 0.4 Let r = -181/3 + 61. Let k = 513 - 514. What is the closest to k in r, -1/2, 4? -1/2 Let r = 1045/2 - 522. Let b = -0.24 - 0.06. What is the nearest to -2/3 in r, 0, b? b Let s = 0.759 + -5.759. Let j = -2.8 + 3. Which is the closest to j? (a) 2 (b) s (c) -4 a Let h = 2/147 + -155/588. Suppose -25*p = -32*p + 7. Which is the closest to p? (a) -5/2 (b) -2/15 (c) h b Suppose 237*n + c = 241*n + 17, 4*n = -5*c - 11. What is the closest to 3 in 18, n, -0.3? -0.3 Let n be ((-16)/(-40))/(2 - 1). Which is the nearest to 5? (a) 4 (b) -0.2 (c) n a Let f(x) = x**3 - 16*x**2 + 42*x - 38. Let n be f(13). What is the closest to -2 in -0.3, 2, n, 2/25? -0.3 Let p = -0.1 + 0.1. Let v = 1087.1 - 1087. What is the nearest to p in -2/9, v, -3? v Suppose 6*v = 4*v - 4. Let t = 37617/13 - 2891. Let k = -348/143 + t. What is the nearest to k in v, -3, 0.1? 0.1 Let m = -0.776 - -0.106. Let c = -0.37 - m. What is the closest to -3 in 5, -0.2, c? -0.2 Let m be 1/6*(-18)/4*1. What is the nearest to -3/4 in m, 0.01, -0.3? m Let z = 43.1 - 43. Which is the nearest to 2? (a) 0 (b) z (c) 0.3 (d) -3 c Let p = -0.0506 - 24.6494. Let z = p - -25. Which is the nearest to 0? (a) 1/5 (b) 3 (c) z a Let r(v) = 4*v**3 - 20 - 17*v**2 + 2 - 3*v**3 + 17*v. Let j be r(16). Which is the nearest to -0.1? (a) 1/8 (b) j (c) -3 a Let c = 4.446 - 8.446. Let j = -0.2 + 0. Let g = 0.1 - j. What is the closest to 2 in g, 3, c? 3 Let y be (-12)/
{ "pile_set_name": "DM Mathematics" }
+ y**4/8 - 5*y**3/6 + y**2. Let r(z) = -2*z**2 - z + 2. Suppose -m = -8 + 3. Give m*r(u) + 2*h(u). -2*u**2 + u Let p(n) = -n**2 + 51*n. Let w(c) = -c**2 + 26*c. Give -3*p(f) + 5*w(f). -2*f**2 - 23*f Let z(w) = 13*w**2 - 74658*w**3 - 3*w + 3*w + 74643*w**3. Let k(p) = -6*p**3 + 6*p**2 - 3*p**3 + 2*p**3. Give 13*k(j) - 6*z(j). -j**3 Let z(w) = 3*w + 17. Let c(m) = m + 6. Determine 17*c(q) - 6*z(q). -q Let f(m) = -9*m**3 - 4. Let r(n) = -19*n**3 - 8. What is -5*f(k) + 2*r(k)? 7*k**3 + 4 Let y(u) = 3*u**2 + 5*u. Let v(g) = 3*g**2 + 6*g. Let k = 20 + -26. Give k*y(t) + 5*v(t). -3*t**2 Let a(n) = -n - 6. Let p(c) = 4*c + 17. Give -17*a(h) - 6*p(h). -7*h Let f be ((-33)/22)/(0 - (-1)/4). Let q(l) = -4*l + 7. Let u(v) = 5*v - 8. Give f*u(r) - 7*q(r). -2*r - 1 Let p = -34 - -40. Let n(k) = -8*k**2 + 2*k + 5. Let y(z) = 7*z**2 - 2*z - 4. Give p*n(m) + 7*y(m). m**2 - 2*m + 2 Suppose -5*n - 4*q = -41, -3*n + 0*q = -3*q - 3. Suppose -n*o + 4 = -11. Let j(l) = o + l - 3*l - 1. Let u(w) = w**3 + 5*w - 4. Give 5*j(d) + 2*u(d). 2*d**3 + 2 Let k = 124 - 121. Let t(c) be the first derivative of -3/2*c**2 + 2*c + 2 + 1/3*c**k. Let n(x) = -x**3 + 2*x**2 - 7*x + 5. Determine -2*n(s) + 5*t(s). 2*s**3 + s**2 - s Let c be (-7 - 1) + 3 + -2. Let u(l) = -l**3 + 6*l**2 + 10*l - 7. Let k(w) be the second derivative of w**4/6 + w**3/2 - w**2 - 7*w. Give c*k(z) + 2*u(z). -2*z**3 - 2*z**2 - z Let g(o) = o - 3*o - 5 - 3*o. Let j(z) = -z - 1. Let c(s) = -s**3 - 11*s**2 + 2. Let h be c(-11). Calculate h*g(i) - 11*j(i). i + 1 Let s(k) = -3*k**3 + k**2 + 2*k. Let b be 5/10*4/3. Let c(y) be the first derivative of 0*y - y**4 + b*y**3 - 1 + y**2. Give 2*c(w) - 3*s(w). w**3 + w**2 - 2*w Let h(m) = -3*m. Let w(v) = -v - 2*v - 4*v + 2*v. Determine -8*h(p) + 5*w(p). -p Suppose 0 = -5*f - 0*f + 25. Suppose -3*d = 6, f*v + 0*d + 27 = 4*d. Let g(k) = 4*k**2 + 13*k + 13. Let a(j) = -j**2 - 4*j - 4. Give v*a(m) - 2*g(m). -m**2 + 2*m + 2 Let y(z) = 3 + 1 + 4*z**2 - 2*z**2. Suppose -b = b + 2. Let r(u) = -3*u**2 - u. Let n be r(1). Let o(v) = -v**2 - 1. Give b*y(q) + n*o(q). 2*q**2 Let a(z) = -z. Let k = -8 - -12. Suppose -u - k = 2. Let q(l) = -5*l + 2. What is u*a(b) + q(b)? b + 2 Let l(f) = -21*f**3 - 3*f**2. Let v(g) = -41*g**3 - 5*g**2. Give 5*l(x) - 3*v(x). 18*x**3 Suppose -4*k + 2 = -6. Let a(m) = -6*m + 3*m + m - k + m. Let i(z) = -2*z - 2. Calculate 3*a(q) - 2*i(q). q - 2 Let d(n) = -2. Let a be (1*-7)/(1 - 2). Let f(x) = x**2 - 6*x - 9. Let h be f(a). Let o(q) = -4 + 5*q - 3*q - 3 - q. Calculate h*o(i) + 7*d(i). -2*i Let v(o) = -6*o**3 - 9*o**2 + 9*o + 9. Let h(d) = 3*d**3 + 4*d**2 - 4*d - 4. Let w be (16/20)/((-6)/(-15)). Suppose -1 = w*s + 17. What is s*h(f) - 4*v(f)? -3*f**3 Let c(g) = g**2 - 2*g - 3. Let t(k) = k**2 - 3*k - 4. Suppose -2*v + 4*v - h = 22, 2*v = 5*h + 38. Suppose -v - 1 = -5*s. Calculate s*t(r) - 3*c(r). -r**2 + 1 Let o(s) = 7*s**3 + 6*s**2. Let p(a) = 1 - 1 + 6*a**3 + 33*a**2 - 28*a**2. Calculate 5*o(q) - 6*p(q). -q**3 Let i(w) = -7*w**2 + w + 6. Let c be -12*2/8*-2. Let r be (9 + -1)*(-3)/c. Let z(x) = -6*x**2 + x + 5. Give r*i(o) + 5*z(o). -2*o**2 + o + 1 Let f(p) = -8*p**3 + 2*p**2 + 4*p + 4. Let b(g) = 8*g**3 - g**2 - 3*g - 3. Determine -4*b(h) - 3*f(h). -8*h**3 - 2*h**2 Let u(q) = -9*q**3 - 4*q**2 + 7*q. Let n(k) = 26*k**3 + 11*k**2 - 20*k. Determine 6*n(w) + 17*u(w). 3*w**3 - 2*w**2 - w Let l(s) = 9*s - 9. Let w(n) = -4*n + 5. Give -4*l(d) - 7*w(d). -8*d + 1 Let q(y) = -10*y**2 - 7. Let v(g) = -7*g**2 - 5. Let s(k) = -8*k**2 + 2*k - 1. Let r be s(1). Let t(i) = 6*i - 37. Let c be t(7). Determine c*q(u) + r*v(u). -u**2 Let u(k) = 3*k**2 - 3*k - 9. Let c(z) = 2*z**2 - 2*z - 5. Determine 5*c(l) - 3*u(l). l**2 - l + 2 Let u(w) = -13*w**2 + 13*w - 2. Let p(i) = -6*i**2 + 6*i - 1. Give 5*p(b) - 2*u(b). -4*b**2 + 4*b - 1 Let o(g) = 9*g + 19. Let f(q) = -4*q - 9. Determine -7*f(c) - 3*o(c). c + 6 Let b(k) be the first derivative of 7*k**2/2 + 7*k + 6. Let j(m) = -6*m - 6. Let q(u) = 5*b(u) + 6*j(u). Let p(o) = 2*o**2 - 6*o - 6. Calculate -p(w) + 6*q(w). -2*w**2 Suppose 0 = -4*f - 22 + 6. Let y(u) = 7*u**2 + 5*u - 3. Let q(h) be the third derivative of h**5/10 + h**4/6 - h**3/3 + 4*h**2. Calculate f*y(g) + 5*q(g). 2*g**2 + 2 Let w(a) = 6*a**2 - 29. Let o(q) = -q**2 - 1. Give 5*o(r) + w(r). r**2 - 34 Let v(j) = j**3 + 1. Let b(y) be the first derivative of y**4 + 2*y**3/3 + y**2/2 + 3*y - 15. Determine -b(k) + 3*v(k). -k**3 - 2*k**2 - k Let x(z) = -2*z**3 - 3*z**2 - 2*z - 1. Let u(b) = -8*b**3 - 13*b**2 - 9*b - 4. Give 2*u(d) - 9*x(d). 2*d**3 + d**2 + 1 Let i(j) = -24*j + 2. Let m(y) = y. Determine -2*i(f) - 36*m(f). 12*f - 4 Let u(d) = -d. Let z(p) = 2*p. Let a(l) = 9*u(l) + 4*z(l). Let s(q) = 16*q. Calculate 20*a(g) + s(g). -4*g Let i(b) = -4*b + 2. Let c(f) = 2*f - 1. What is -9*c(g) - 4*i(g)? -2*g + 1 Let b(f) = -f**2 + f. Let p(t) = 2*t**2 - t - 4. Calculate -b(v) - p(v). -v**2 + 4 Let l(v) = -8*v - 4. Let j(q) = -4*q - 2. What is -11*j(i) + 6*l(i)? -4*i - 2 Let v(y) = 1 + 1 + 10 - 10*y**3. Let x(s) = -s**3 + 5*s**2 + s - 1. Let w be x(5). Let l(q) = 0*q**3 + 5 + 0 - w*q**3. Calculate -12*l(i) + 5*v(i). -2*i**3 Let u(f) = 26*f**2 + 15*f + 17. Let a(r) = 9*r**2 + 5*r + 6. Let p(n) = 17*a(n) - 6*u(n). Suppose -7*z + 35 = -0*z. Let l(j) = j**2 + 2*j. Give z*l(d) + 2*p(d). -d**2 Let q(u) = -u**3 + u**2 - 1. Let f(y) = 5*y**3 - 3*y**2 - y - 14. Give -f(n) - 3*q(n). -2*n**3 + n + 17 Let n be ((-20)/12 - -1)*9. Let x(r) = 3 - 2 - 2. Let l(u) be the first derivative of -u**2 + 7*u - 1. Calculate n*x(w) - l(w). 2*w - 1 Let s(h) = -2*h + 2. Let n(u) = u + 6. Let l be n(-4). Let o(w) = 2*w - 2. Let c(d) = l*s(d) + 3*o(d). Let v(m) = -6*m + 5. Determine -8*c(k) - 3*v(k). 2*k + 1 Let k(a) = 3*a + 1. Let f be k(-3). Let s(b) = 4*b**2 + 4*b - 5. Let i(h) = -6 + h**2 - 3*h**2 - 2 + 6*h + 8*h**2. What is f*s(l) + 5*i(l)? -2*l**2 - 2*l Let t(y) = 4*y**2 - 3*y. Let m = -53 + 49. Let i(z) = -5*z**2 + 4*z. What is m*t(o) - 3*i(o)? -o**2 Let a(d) = -d - 10. Let m be a(-5). Let b(l) = -5*l**2 - 2*l. Suppose 0 = u - 5*u + 8. Let c(n) = 3*n**u + 3*n**2 + 4*n - 2*n. Give m*b(f) - 4*c(f). f**2 + 2*f Let l(b) = -4*b. Let y(z) = -1. Calculate l(c) + 3*y(c). -4*c - 3 Let k(x) = 7*x + 3. Let j(c) = -64*c - 26. Give 6*j(b) + 52*k(b). -20*b Let b(w) = 22*w**2 - w + 4. Let h(q) = 33*q**2 - 2*q + 6. Determine -8*b(k) + 5*h(k). -11*k**2 - 2*k - 2 Let a(c) = -12*c + 9. Let u(z) = 3*z - 2. Calculate 2*a(m) + 9*u(m). 3*m Let z(i) = 6*i**3 - 2*i + 4. Let k(l) = -12*l**3 + 4*l - 7. What is 6*k(q) + 11*z(q)? -6*q**3 + 2*q + 2 Let a(w) = 5*w**3 + 6*w**2 + 4*w. Let q(k) = -11*k**3 - 13*k**2 - 9*k. Let y = 4 - 10. Let o = y - -2. Determine o*q(l) - 9*a(l). -l**3 - 2*l**2 Let x(d) = 10*d - 13. Let z(s) = 5*s - 7. Give -6*x(g) + 11*z(g). -5*g + 1 Let y(r) = -27*r**2 - 6*r - 6. Let f(n) = -55*n**2 - 13*n - 13. What is 6*f(l) - 13*y(l)? 21*l**2 Let z(y) = -2*y + 3. Let t(c) = -c + 6. Let b be t(-8). Suppose 5*q + b = -3*r, -r + 4*q + 18 = -0*r. Let d(j) = 0*j + 0 + r*j - 2. What is -4*d(n) - 3*z(n)? -2*n - 1 Let n(f) = -35*f. Let s(r) = 17*r. Determine 3*n(t) + 7*s(t). 14*t Let a(b) = -b**2 + 7. Suppose 5*u - 5*j + 80 = 0, 3*j + 2*j = -3*u - 40. Let k = 11 + u. Let x(y) = y**2 - 4. Calculate k*a(g) - 7*x(g). -3*g**2 Let c(o) = 20*o - 20. Let a(z) be the first derivative of 7*z**2/2 - 7*z + 4. What is -17*a(v) + 6*c(v)? v - 1 Let d(b) = -7 + 6 + 4 + 4*b**2. Let q(c) = c**2 + 1. Determine -d(y) + 3*q(y). -y**2 Let v(z) = -5*z**2 + 4*z + 4. Suppose 36 = -7*u + 8. Suppose 0*n + 2*n = -2. Let y(w) = w**2 - w - 1. Calculate n*v(f) + u*y(f). f**2 Let n(i) = 27*i**2 - 4*i - 5. Let p(k) = -14*k**2 + 2*k + 3. Give -3*n(x) - 5*p(x). -11*x**2 + 2*x Let o(j) be the first derivative of 3*j**4/2 - 7*j**2 - 3. Let n(y) = -2*y**3 + 5*y. Determine -14*n(m) - 5*o(m). -2*m**3 Suppose 13 = -3*p + 4. Let b(n) = -5*n**3 - 2*n**2 + 1. Let j(l) = 4*l**3 + 2*l**2 - 1. Calculate p*b(k) - 4*j(k). -k**3 - 2*k**2 + 1 Let i(k) = -k**2 - 3*k + 1. Let z(c) = 3*c**2 + 10*c - 4. Suppose f - 1 = 6. What is f*i(l) + 2*z(l)? -l**2 - l - 1 Let o(m) = -7*m - 6. Let j(w) = w + 1. Let c = -16 + 9. Let g(a) = a**3 + 8*a**2 + 6*a - 6. Let x be g(c). What is x*o(n) + 6*j(n)? -n Let i(u) = -u**3 - u + 1. Let c(b) = -13*b**3 - 6*b + 6. Calculate c(v
{ "pile_set_name": "DM Mathematics" }
t 0.2231937 millennia to months. 2678.3244 What is 7/3 of a century in months? 2800 How many millilitres are there in 52.70294l? 52702.94 What is eighty-six thirds of a week in hours? 4816 How many millilitres are there in three fifths of a litre? 600 How many decades are there in 5.34837 months? 0.04456975 How many grams are there in one tenth of a kilogram? 100 How many years are there in 600563.5 millennia? 600563500 What is 3/10 of a litre in millilitres? 300 How many months are there in one tenth of a century? 120 What is 5.641502 centuries in months? 6769.8024 How many centimeters are there in 7555.213 micrometers? 0.7555213 How many decades are there in 245.7726 months? 2.048105 How many nanograms are there in 13.769g? 13769000000 What is 1/4 of a micrometer in nanometers? 250 What is four fifteenths of a century in months? 320 What is 3/40 of a kilometer in centimeters? 7500 What is 8.107038g in micrograms? 8107038 What is six fifths of a litre in millilitres? 1200 What is 244.7725l in millilitres? 244772.5 How many millilitres are there in 18/5 of a litre? 3600 How many kilograms are there in 64871.51 nanograms? 0.00000006487151 Convert 8.318762l to millilitres. 8318.762 Convert 3.36462nm to meters. 0.00000000336462 How many decades are there in 1.5563682 months? 0.012969735 Convert 30.4113 weeks to nanoseconds. 18392754240000000 How many decades are there in seventeen halves of a millennium? 850 How many centimeters are there in five quarters of a meter? 125 What is 1/4 of a gram in milligrams? 250 How many millilitres are there in thirteen quarters of a litre? 3250 What is twenty-one quarters of a kilogram in grams? 5250 What is four thirds of a millennium in months? 16000 Convert 0.850582 micrograms to grams. 0.000000850582 Convert 1.087292 nanoseconds to seconds. 0.000000001087292 What is 12/7 of a week in minutes? 17280 What is 15/4 of a milligram in micrograms? 3750 How many micrometers are there in 3/25 of a centimeter? 1200 How many litres are there in 71.14426 millilitres? 0.07114426 Convert 855876.1kg to tonnes. 855.8761 How many years are there in 4864.386 millennia? 4864386 What is 3/8 of a meter in millimeters? 375 How many centimeters are there in 0.9781172km? 97811.72 What is one quarter of a litre in millilitres? 250 What is 598869.5 litres in millilitres? 598869500 How many years are there in thirty-one fifths of a decade? 62 What is 21/4 of a microgram in nanograms? 5250 How many micrograms are there in five quarters of a milligram? 1250 Convert 58.5988 centuries to years. 5859.88 How many micrograms are there in 476.9408 nanograms? 0.4769408 What is 87/5 of a microgram in nanograms? 17400 Convert 3.5439g to nanograms. 3543900000 What is 7/3 of a millennium in months? 28000 What is 9.433754um in kilometers? 0.000000009433754 How many kilograms are there in 21/8 of a tonne? 2625 What is 52.03736 millilitres in litres? 0.05203736 How many millilitres are there in 25/2 of a litre? 12500 Convert 14199.96l to millilitres. 14199960 What is 87/2 of a litre in millilitres? 43500 What is 3/40 of a millimeter in nanometers? 75000 What is one tenth of a gram in micrograms? 100000 What is 61/2 of a century in years? 3050 What is 805777.6 nanograms in tonnes? 0.0000000008057776 Convert 0.514809 milligrams to tonnes. 0.000000000514809 How many meters are there in 2272.298um? 0.002272298 What is 6/25 of a kilogram in grams? 240 What is 9818.397 micrometers in meters? 0.009818397 Convert 79.55962t to kilograms. 79559.62 What is 193658.2 millennia in months? 2323898400 How many millimeters are there in 3/10 of a meter? 300 How many nanoseconds are there in thirteen fifths of a microsecond? 2600 What is twenty-nine fifths of a century in years? 580 What is 9004.188 meters in nanometers? 9004188000000 Convert 0.6001115 micrograms to grams. 0.0000006001115 How many millilitres are there in 77734.34 litres? 77734340 Convert 66.55217 weeks to days. 465.86519 Convert 66216.26 litres to millilitres. 66216260 Convert 21210.37 litres to millilitres. 21210370 What is 8817.27 micrograms in tonnes? 0.00000000881727 What is 574840.8 seconds in milliseconds? 574840800 How many centimeters are there in six fifths of a meter? 120 What is 19298.4 nanometers in kilometers? 0.0000000192984 What is 23/3 of a decade in months? 920 What is 67254.33 litres in millilitres? 67254330 How many milliseconds are there in 5/8 of a minute? 37500 How many kilograms are there in seven halves of a tonne? 3500 How many years are there in 3/25 of a century? 12 How many months are there in 1/15 of a century? 80 How many nanograms are there in 13883.57mg? 13883570000 How many hours are there in 6.877053us? 0.0000000019102925 What is 29/2 of a litre in millilitres? 14500 Convert 145.611ms to hours. 0.0000404475 What is three fifths of a centimeter in millimeters? 6 What is 17/4 of a litre in millilitres? 4250 How many millilitres are there in 5/8 of a litre? 625 What is 2648.8128 months in centuries? 2.207344 What is 1/5 of a century in years? 20 How many decades are there in 81/4 of a millennium? 2025 How many decades are there in 21/5 of a millennium? 420 How many litres are there in 2.690105 millilitres? 0.002690105 How many kilograms are there in 1037.529 grams? 1.037529 What is 5/8 of a kilogram in grams? 625 How many milligrams are there in 11/4 of a gram? 2750 How many seconds are there in 3/40 of a hour? 270 What is 59/5 of a centimeter in millimeters? 118 What is 2248.3695 months in years? 187.364125 How many decades are there in three fifths of a millennium? 60 How many millimeters are there in thirteen quarters of a meter? 3250 What is 0.6469521ng in milligrams? 0.0000006469521 What is 217522.2 meters in micrometers? 217522200000 What is 13/5 of a litre in millilitres? 2600 What is 1/30 of a millennium in months? 400 How many grams are there in fourty-five halves of a kilogram? 22500 How many nanoseconds are there in 798803.4 weeks? 483116296320000000000 What is 8.940548 days in microseconds? 772463347200 How many months are there in 5.629135 centuries? 6754.962 How many kilograms are there in 41/2 of a tonne? 20500 What is five sixths of a millennium in months? 10000 How many hours are there in 1/24 of a week? 7 How many microseconds are there in 53/5 of a millisecond? 10600 What is 4959.02 years in centuries? 49.5902 What is 6/25 of a tonne in kilograms? 240 What is eighteen fifths of a century in decades? 36 What is 0.5439147l in millilitres? 543.9147 How many milligrams are there in 12/25 of a gram? 480 How many nanograms are there in fifteen quarters of a microgram? 3750 How many millilitres are there in 923252.2l? 923252200 How many milligrams are there in 7/8 of a gram? 875 Convert 38387.24cm to nanometers. 383872400000 How many hours are there in 53233.308 milliseconds? 0.01478703 How many millilitres are there in 17/4 of a litre? 4250 How many millilitres are there in 3/10 of a litre? 300 How many litres are there in 4655.352 millilitres? 4.655352 What is one sixteenth of a kilometer in centimeters? 6250 How many nanometers are there in 3/40 of a millimeter? 75000 What is 52/5 of a meter in centimeters? 1040 How many millimeters are there in seven halves of a centimeter? 35 How many minutes are there in 1/4 of a hour? 15 What is 23801.06l in millilitres? 23801060 What is 53/5 of a millimeter in micrometers? 10600 How many minutes are there in 11/4 of a week? 27720 How many micrograms are there in 1/16 of a gram? 62500 What is 3/5 of a microgram in nanograms? 600 What is eight fifteenths of a day in seconds? 46080 How many kilograms are there in 6/5 of a tonne? 1200 What is 74/3 of a year in months? 296 What is eighteen fifths of a kilogram in grams? 3600 What is 29.96018 meters in kilometers? 0.02996018 What is 7/4 of a century in years? 175 Convert 432.9843 months to decades. 3.6082025 How many weeks are there in 10677022.02s? 17.65380625 Convert 257.1945 litres to millilitres. 257194.5 How many hours are there in 43/2 of a day? 516 How many milliseconds are there in 2/15 of a minute? 8000 How many centimeters are there in 3/5 of a kilometer? 60000 How many millilitres are there in seven quarters of a litre? 1750 How many centuries are there in 1
{ "pile_set_name": "DM Mathematics" }
Let r be 5/50*-2 - 2426/(-5). Suppose r = 5*k - 115. What is the greatest common divisor of k and 8? 8 Let s(u) = -2*u - 8. Let b be s(5). Let n be (154/33)/((-4)/b). What is the greatest common divisor of n and 126? 21 Suppose -5*z = -3*z - 4, -5*c - z + 12 = 0. What is the greatest common factor of c and 59? 1 Let d(s) = -28*s**3 - 394*s**2 - 30*s - 18. Let l be d(-14). Suppose -2*b = -100 + 40. Calculate the highest common factor of b and l. 10 Let s = 20 + -16. Suppose -15 = -3*j - 6*o + o, 0 = s*j - o - 43. What is the greatest common divisor of j and 80? 10 Let r = 572 + -477. What is the highest common divisor of 57 and r? 19 Let r be (-4)/(-10)*(-190 - 0)/2. Let j = r + 107. What is the greatest common divisor of j and 46? 23 Let m(n) be the third derivative of -n**6/120 - n**5/12 + n**4/3 + 13*n**3/6 - 8*n**2. Let a be m(-6). Calculate the greatest common divisor of 8 and a. 1 Suppose 112*o + 1638 = 119*o. What is the highest common factor of 162 and o? 18 Let u(w) = w**2 - 1 + 4*w + 12 + 4*w. Let m be u(-7). Suppose m*l + 4*k = 26 + 18, -3*k = 3. Calculate the highest common divisor of l and 36. 12 Let b = 14 + -9. Let g(n) = 2*n**2 - 79*n + 360. Let q be g(35). Calculate the highest common factor of q and b. 5 Let k be 3 - 0 - (-18)/3. What is the greatest common factor of 117 and k? 9 Let n = -12 - -17. Let i(s) = 18*s + 1. Let g be i(3). What is the greatest common divisor of n and g? 5 Let t(m) = 6*m - 5. Let h be t(6). Let r = 44 - h. What is the greatest common divisor of 143 and r? 13 Let v = -714 - -762. Calculate the highest common factor of 600 and v. 24 Let o(b) be the second derivative of b**3/2 - 16*b**2 + 14*b. Let p be o(12). Calculate the greatest common factor of p and 44. 4 Suppose 27*s = 75*s - 2208. What is the highest common factor of s and 184? 46 Let y be ((-1 - -2)*171)/(30/20). Let o = 170 - y. What is the greatest common divisor of 42 and o? 14 Let u(p) = -p**2 - 11*p - 12. Let r be u(-8). Suppose -2*v - 106 = -5*v + 2*w, 4*w + 104 = 3*v. What is the greatest common factor of v and r? 12 Let x = -17 - -39. Let p = x + -20. Suppose -86 = -p*r + 110. Calculate the highest common factor of 14 and r. 14 Let w(h) = 5*h - 1 + 1 - 6 + 5*h - h**2. Let s be w(9). Let z(k) = 9*k. Let m be z(3). What is the highest common factor of s and m? 3 Let r = -197 - -281. Let x be (0 + 4 - 1) + 9. What is the highest common factor of x and r? 12 Let p = 85 - 83. Suppose 2*x - 30 = -4*z, -z + x = p*z - 15. What is the greatest common factor of z and 12? 6 Suppose 2680 + 6014 = 42*q. Calculate the greatest common factor of q and 9. 9 Let n be 3 - (-9 - 3)/(-4). Suppose 4*l - 47 = 4*p + 157, n = 2*l + p - 102. Calculate the greatest common factor of l and 85. 17 Let h(j) = 2*j**2 - 6*j - 22. Let f be h(6). Suppose -5*x + 44 = 4*m - 26, -4*x - 2*m = -56. Calculate the highest common divisor of f and x. 14 Suppose 3*g + 3*m - 210 = 0, -5*g - m = -25 - 309. What is the greatest common divisor of 594 and g? 66 Suppose 3*g = 2*s + 171, 0*g - 5*s + 205 = 4*g. Suppose 220 = 3*b + g. Suppose 3*j = -c + 37, j - 2*c - 2 = 1. Calculate the greatest common divisor of b and j. 11 Suppose -4*j = -3*z - 232 - 60, 2*z + 223 = -3*j. Let q = z - -110. What is the highest common factor of 30 and q? 6 Let f = -120 - -220. Suppose 98 = 11*h - f. Suppose -18 - 18 = -4*j. What is the highest common factor of h and j? 9 Let g be 1 - (1386/(-7))/((-6)/(-4)). Calculate the highest common factor of g and 95. 19 Let g be 412/4 + (-4)/(-4). What is the greatest common factor of g and 364? 52 Let p(h) = 280*h**2 + 4*h. Let o be p(-1). What is the greatest common factor of o and 12? 12 Suppose -4*l - 2*q + 273 = q, -318 = -5*l + 4*q. Let n = l + -15. Let a = 72 - n. What is the highest common factor of a and 21? 21 Let y(p) = 28*p**2 + 1. Let x be y(-1). Let a = x + -20. Suppose -5*q + 49 - a = 0. Calculate the greatest common factor of 88 and q. 8 Suppose -20*y + 5687 = -9*y. What is the highest common factor of 94 and y? 47 Let r = -29 - -71. Suppose -10*w + r = -7*w. Suppose 4*i = 5*i - 35. Calculate the greatest common divisor of w and i. 7 Let o = 3119 - 2093. Let a be o/42 - 3/7. What is the highest common factor of 48 and a? 24 Suppose -5*b = -6 - 19. Suppose 3*t - 3*n = n + 71, t = -b*n + 11. Let w = t + -15. What is the highest common factor of 15 and w? 3 Let v be (-69)/(-276) - (-4646)/8. Calculate the greatest common divisor of 14 and v. 7 Let p = -71 - -93. Calculate the highest common divisor of p and 264. 22 Let w = -22 + 11. Let x(k) = k**2 - 12*k + 7. Let c be x(w). Let q = -272 + 298. Calculate the highest common factor of c and q. 26 Let m(o) = 0 + 8*o + 0 + 4*o - 6. Let a be m(8). Suppose -54 - a = -4*x. Calculate the greatest common divisor of 24 and x. 12 Suppose 4*m = 3*q - 0*q + 21, -5*m - 5*q = 0. Suppose 4*f + 0 = 24. Calculate the highest common factor of m and f. 3 Let z = 28 + 0. Calculate the greatest common factor of 63 and z. 7 Suppose 11*q + 360 = 29*q. What is the highest common factor of 120 and q? 20 Let i = 0 + 11. Suppose x - i = 8. What is the greatest common factor of x and 57? 19 Suppose -h + 6 = 1. Suppose -2*v = -5*x - 0*v + 80, -h*x + 80 = 4*v. Calculate the highest common factor of 64 and x. 16 Let c be (25 + -16)*2/((-1)/(-1)). Suppose 5*w - c - 7 = 5*x, -3*x + 9 = 0. What is the highest common factor of 72 and w? 8 Suppose 2*q - 5*a = 7*q - 35, 3*a + 9 = 3*q. Suppose 10*h - 920 = q*h. Calculate the highest common divisor of 23 and h. 23 Let y(s) = 84*s**3 + 8*s**2 - 10*s + 2. Let f be y(1). What is the greatest common divisor of 28 and f? 28 Let s be (-15)/3 - 4235/(-35). Suppose h + 5*v = 41 + 3, 0 = 2*h + 3*v - 67. What is the highest common factor of s and h? 29 Suppose 0 = -4*z - v + 67, 2*v - 4*v = 5*z - 80. Calculate the greatest common divisor of 6 and z. 6 Let c be (3 - (0 + -2))*2. Suppose -v - 16 = -c. Let q = v - -18. What is the greatest common factor of q and 132? 12 Let c(y) = -4*y - 35. Let v be c(-10). What is the greatest common divisor of 55 and v? 5 Let n = -7 + 9. Suppose -d + 0*o = o - 1, -d + 1 = -n*o. Suppose 5*l + 0*l = 25. What is the highest common divisor of l and d? 1 Suppose h + 5*w = -38, -5*h + h + 4*w = 32. Let d = h + 58. What is the greatest common divisor of 5 and d? 5 Let h = -451 - -1186. What is the greatest common factor of 30 and h? 15 Let q = -199 + 203. What is the highest common factor of q and 52? 4 Suppose -s + 5 = 5*y, -3*s = 2*y - 6 + 17. Suppose -4*j - 2 = k - 11, 45 = y*k - j. What is the greatest common divisor of 28 and k? 7 Let r(l) be the third derivative of l**5/20 + l**4/8 - l**3/2 - l**2. Let y = -305 - -307. Let h be r(y). Calculate the highest common factor of h and 105. 15 Suppose -4*b + 2457 = 9*b. Calculate the greatest common factor of b and 135. 27 Let l be (-11 - -15)/(3/18). What is the greatest common divisor of 564 and l? 12 Let j(v) = -77*v. Suppose 0 = -3*y + 7*y + 16. Let f be j(y). Let r = -173 + f. What is the greatest common divisor of 54 and r? 27 Suppose 6*t = 7 + 113. Suppose 0*k + k = -z + 54, z - 62 = -3*k. Calculate the greatest common divisor of t and z. 10 Suppose -5*b + 3*a = 2*a - 78, 0 = a - 2. Let u(k) = 15*k + 4. Let y be u(4). What is the highest common divisor of b and y? 16 Let o(q) = -q**2 + 8*q + 5. Let c be o(8). Suppose -t + c = -33. What is the highest common divisor of t and 95? 19 Let j = -163 - -649. Calculate the greatest common factor of 54 and j. 54 Let y = 383 + -357. Calculate the highest common factor of y and 104. 26 Let v = -154 - -331. Suppose 3*x = -0*x + j + 181, -v = -3*x - 3*j. Calculate the highest common factor of x and 150. 30 Suppose 2 = -2*f + 3*d, 6*d = -3*f + d + 16. Let o be f/(-1)*-1 + 1. Let j(m) = -m + 7. Let p be j(4). What is the highest common factor of p and o? 3 Let u be (-27)/5 + (-12)/(-30). Let n be (5 + -2)/(1/u). Let q = n - -31. Calculate the highest common divisor of q and 48. 16 Let g = -1516 - -3063. Let q = g + -967. Let n be (-1)/(-3) - q/(-15). What is the highest common factor of 13 and n? 13 Let b be 164 - 3 - (-1 - 1*-2). Let z = -65 + b. Calculate the highest common factor of z and 57. 19 Suppose -12*l + 326 = -250. Calculate the greatest common factor of l and 168. 24
{ "pile_set_name": "DM Mathematics" }
to the nearest ten. 480 Round 0.000185 to four decimal places. 0.0002 What is -0.269761 rounded to three dps? -0.27 Round -18.979 to 0 dps. -19 What is -64350 rounded to the nearest 1000? -64000 What is 0.112679 rounded to three decimal places? 0.113 What is 0.8732 rounded to one dp? 0.9 What is 0.00001226 rounded to six dps? 0.000012 What is -0.6219 rounded to two decimal places? -0.62 Round -213520 to the nearest 10000. -210000 What is 631270 rounded to the nearest 10000? 630000 What is -278.5 rounded to the nearest 10? -280 What is -0.00598 rounded to two decimal places? -0.01 Round 0.0000004451 to seven dps. 0.0000004 What is 66.024 rounded to one decimal place? 66 What is -147960 rounded to the nearest 1000? -148000 Round 51100 to the nearest ten thousand. 50000 What is -3.919 rounded to two decimal places? -3.92 Round 0.000059779 to 5 decimal places. 0.00006 Round -437152 to the nearest ten thousand. -440000 What is 278.003 rounded to the nearest integer? 278 What is 14366100 rounded to the nearest 100000? 14400000 What is 0.000004344 rounded to 5 dps? 0 What is -54460 rounded to the nearest 10000? -50000 Round -0.001578 to four decimal places. -0.0016 Round -0.2746 to one dp. -0.3 What is 32.57 rounded to the nearest integer? 33 Round -2373.4 to the nearest 10. -2370 What is 0.00001358 rounded to 6 dps? 0.000014 What is 524000 rounded to the nearest ten thousand? 520000 Round 0.0001799 to five dps. 0.00018 Round 809 to the nearest ten. 810 What is -1278 rounded to the nearest 100? -1300 Round -13090000 to the nearest 1000000. -13000000 Round 0.001643 to five dps. 0.00164 What is -623400 rounded to the nearest 10000? -620000 What is 57500 rounded to the nearest ten thousand? 60000 Round 11005 to the nearest 1000. 11000 Round 0.7397 to 1 decimal place. 0.7 What is -0.4023 rounded to two dps? -0.4 What is -42000 rounded to the nearest 100000? 0 Round 87760 to the nearest ten thousand. 90000 Round 56140 to the nearest 1000. 56000 Round 69.2225 to the nearest ten. 70 What is 0.00051956 rounded to 4 dps? 0.0005 What is -94300 rounded to the nearest ten thousand? -90000 Round 1611040 to the nearest one hundred thousand. 1600000 Round 794000 to the nearest 10000. 790000 What is 5.331 rounded to one dp? 5.3 What is 0.002553 rounded to three decimal places? 0.003 What is 694860000 rounded to the nearest 1000000? 695000000 What is 0.000198 rounded to 6 dps? 0.000198 Round -26388 to the nearest one thousand. -26000 What is 7980000 rounded to the nearest one hundred thousand? 8000000 Round 2360000 to the nearest one hundred thousand. 2400000 What is -0.00095451 rounded to 4 dps? -0.001 What is 0.52 rounded to two dps? 0.52 What is 17.4 rounded to the nearest ten? 20 Round 0.0000002295 to 7 dps. 0.0000002 What is 0.126848 rounded to two dps? 0.13 Round 0.19066 to 3 decimal places. 0.191 What is -13.34 rounded to zero decimal places? -13 Round 1100 to the nearest ten thousand. 0 What is -0.00001807 rounded to 6 decimal places? -0.000018 What is 1096 rounded to the nearest 100? 1100 Round -0.06139 to three decimal places. -0.061 Round 50240 to the nearest one thousand. 50000 What is 0.044127 rounded to 4 dps? 0.0441 Round 0.0001019 to 5 dps. 0.0001 Round 0.000661 to four decimal places. 0.0007 What is 0.01562 rounded to 3 decimal places? 0.016 Round 0.014013 to 4 decimal places. 0.014 Round 227398 to the nearest ten thousand. 230000 What is 53090 rounded to the nearest ten thousand? 50000 Round 51.554 to the nearest ten. 50 Round -0.114491 to two decimal places. -0.11 What is -0.098 rounded to one decimal place? -0.1 What is 0.000019 rounded to six decimal places? 0.000019 Round 0.040824 to 3 decimal places. 0.041 Round -43260000 to the nearest 1000000. -43000000 What is -253.2 rounded to the nearest 10? -250 What is 6120 rounded to the nearest one hundred? 6100 Round -0.000354 to 4 dps. -0.0004 What is -12346.4 rounded to the nearest ten? -12350 What is -434350 rounded to the nearest one thousand? -434000 What is -0.000000713 rounded to seven decimal places? -0.0000007 What is 0.000066272 rounded to six dps? 0.000066 Round -3417 to the nearest one thousand. -3000 What is -64.9 rounded to the nearest 10? -60 Round -381325 to the nearest one thousand. -381000 What is -0.000001238 rounded to six decimal places? -0.000001 What is 43557 rounded to the nearest 100? 43600 What is 0.07268 rounded to 3 decimal places? 0.073 What is 5.728 rounded to the nearest integer? 6 Round -0.000005933 to six dps. -0.000006 What is 0.0007729 rounded to four dps? 0.0008 What is 52951 rounded to the nearest one hundred? 53000 Round -4.7091 to the nearest integer. -5 Round 96400000 to the nearest one million. 96000000 Round 0.08133 to 2 dps. 0.08 What is 139490000 rounded to the nearest 1000000? 139000000 Round -6712.5 to the nearest one thousand. -7000 What is 82540 rounded to the nearest one thousand? 83000 What is 406300 rounded to the nearest one hundred thousand? 400000 What is -0.0010998 rounded to four decimal places? -0.0011 Round 940.1 to the nearest 100. 900 What is -106.58 rounded to the nearest ten? -110 Round -1925.6 to the nearest one hundred. -1900 Round -0.0000055844 to 6 dps. -0.000006 What is -2.44 rounded to 2 decimal places? -2.44 What is 0.07521 rounded to two dps? 0.08 What is -8303.3 rounded to the nearest 1000? -8000 What is -0.1821 rounded to 2 dps? -0.18 What is -21905000 rounded to the nearest 1000000? -22000000 What is 42.781 rounded to one decimal place? 42.8 Round 77.08 to the nearest ten. 80 Round 407.616 to the nearest ten. 410 Round -0.000316 to 4 decimal places. -0.0003 What is -0.13363 rounded to two dps? -0.13 What is 3.2951 rounded to one dp? 3.3 Round 0.13 to the nearest integer. 0 Round -0.001873 to four dps. -0.0019 Round 0.0063208 to 3 dps. 0.006 What is 452130000 rounded to the nearest 1000000? 452000000 What is 0.000001417 rounded to 7 decimal places? 0.0000014 Round -0.08868 to 2 decimal places. -0.09 Round 0.000003496 to seven dps. 0.0000035 Round 0.000000218 to 7 dps. 0.0000002 What is 29849 rounded to the nearest 100? 29800 Round 0.0053261 to three dps. 0.005 What is 59.603 rounded to one dp? 59.6 Round 0.17529 to 1 decimal place. 0.2 What is -9.3 rounded to the nearest ten? -10 Round 0.001521 to four decimal places. 0.0015 What is 0.04803 rounded to 2 dps? 0.05 What is -0.000017566 rounded to 6 dps? -0.000018 Round 0.000008 to 5 dps. 0.00001 What is -1905670 rounded to the nearest one hundred thousand? -1900000 What is 971 rounded to the nearest one hundred? 1000 Round -0.000021526 to five decimal places. -0.00002 What is -122086 rounded to the nearest 1000? -122000 Round -0.1036 to 3 decimal places. -0.104 What is -612.69 rounded to the nearest 10? -610 Round -305 to the nearest one hundred. -300 What is -206.1 rounded to the nearest one hundred? -200 What is 0.80225 rounded to 1 dp? 0.8 What is -262300 rounded to the nearest one thousand? -262000 Round 1575000 to the nearest one million. 2000000 What is 0.000009728 rounded to 6 dps? 0.00001 Round -0.79345 to 1 decimal place. -0.8 Round -102.7 to the nearest 100. -100 Round 341140 to the nearest 1000. 341000 Round -1547.6 to the nearest 100. -1500 What is 247686 rounded to the nearest one thousand? 248000 What is -0.000000381 rounded to seven decimal places? -0.0000004 What is 0.0003435 rounded to 4 dps? 0.0003 Round -0.0000368 to 5 decimal places. -0.00004 What is -0.00001077 rounded to 6 dps? -0.000011 Round 14.817 to 1 decimal place. 14.8 Round -2122.8 to the nearest ten. -2120 Round 5.67 to zero dps. 6 What is -0.00009765 rounded to six dps? -0.000098 What is -27240 rounded to the nearest one thousand? -27000 What is 21.03 rounded to the nearest integer? 21 What is 12170000 rounded to the nearest 1000000? 12000000 What is -0.000006026 rounded to 6 dps? -0.000006 What is -0.00015027 rounded to six dps? -0.00015 What is -1.20686 rounded to 2 decimal places? -1.21 What is -45.282 rounded to the nearest integer? -45 Round -268.22 to the nearest 10. -270 What is 45012 rounded to the nearest 1000? 45000 What is -0.0010767 rounded to five decimal places? -0.00108 Round 0.19236 to 2 dps. 0.19 Round 440800 to the nearest 10000. 440000 Round 25890000 to the nearest one million.
{ "pile_set_name": "DM Mathematics" }
36? (a) -4 (b) 1 (c) -5 b What is the closest to 1/21 in 3, 1/5, -12, -5? 1/5 Which is the closest to -4/49? (a) 5 (b) -3 (c) 31 (d) 0.1 d What is the nearest to 3 in 0, 25.2, -0.4, -12? 0 Which is the closest to -1? (a) -0.3 (b) 2/311 (c) 10/3 (d) -3 (e) -3/5 e What is the nearest to -15.38 in -2/11, -5, 4, -3? -5 Which is the nearest to -2/5? (a) -2/9 (b) -0.1 (c) -3/2 (d) -0.44 (e) -0.4 e Which is the closest to 0? (a) 975 (b) 5 (c) 4 c What is the nearest to 0.0552 in -0.8, 2, 3? -0.8 Which is the nearest to 1/4? (a) -5 (b) 4 (c) -101 (d) -1/2 (e) 1/4 e What is the closest to 0 in 2, -231/20, -3, 6? 2 What is the nearest to -27 in 0.5, 1, 62, 0? 0 Which is the closest to -0.5? (a) 2 (b) 5 (c) 78 (d) 2/11 d What is the closest to -1/2 in 0.15, 13, 3, -70? 0.15 What is the nearest to 0 in 1/3, -1/7, 6.9, 0.387? -1/7 Which is the closest to -2? (a) 3/2 (b) -199 (c) 2/17 (d) -3 (e) 2/49 d What is the closest to 57 in -4, -5/2, -1, -29, -0.4? -0.4 What is the nearest to -1/19 in -0.4, 2/5, 39? -0.4 What is the nearest to -1274 in -2/23, -5, -3, 0.61, 0? -5 What is the nearest to -43177 in -29, -3, -0.3? -29 What is the closest to -1 in 0.1, 0.2, -411? 0.1 Which is the closest to 0.2? (a) 2 (b) -14 (c) 5 (d) -3 (e) -1 e What is the closest to -37 in 0.103, 2/3, 0.1? 0.1 What is the nearest to 0.1 in -7.6, -3, 1, 0.1? 0.1 Which is the closest to -1? (a) -2 (b) -4 (c) -714 (d) 0.1 a What is the nearest to -0.4 in -2/3, -0.07, 753.7? -2/3 What is the nearest to 0 in -48, 147, 1? 1 What is the nearest to -2/7 in 5, 0, 133, -7, 0.1? 0 What is the nearest to 0.3 in 1/16, -0.1, 0.9, 3? 1/16 What is the nearest to -1 in -0.03, -0.2, 0.3, -0.9? -0.9 What is the closest to -9 in 0.13, 3/5, -4/9, -2/7, -23? -4/9 Which is the closest to -0.07? (a) -2230 (b) -3 (c) -2/9 (d) -5 c Which is the closest to 7/3? (a) -8/3 (b) -8 (c) -4/9 (d) -4/7 (e) -23 c What is the closest to 2/3 in 1/3, -7, -7/5? 1/3 Which is the nearest to 1/8? (a) 0.3 (b) -2 (c) -70/3 a Which is the nearest to 1? (a) -0.15064 (b) -0.5 (c) 1 c What is the nearest to -2/3 in 28, 3, -0.2, 2/187? -0.2 Which is the nearest to -14? (a) -106 (b) -2 (c) -0.4 (d) 1/7 b Which is the nearest to -15? (a) 246 (b) -2 (c) 0.2 (d) -1 b What is the closest to -0.91 in 2, -2, -2/87? -2/87 Which is the nearest to 3/2? (a) 3 (b) -0.4 (c) -140 (d) 2 d Which is the nearest to 0? (a) -2170 (b) 0.017 (c) 0 (d) -2/5 c What is the closest to 570 in 0.03, -5, -1/5? 0.03 What is the closest to -1/7 in -321, 5, 0? 0 Which is the closest to -1/76? (a) -3 (b) 2/13 (c) -12 b Which is the nearest to -0.1? (a) -1.0904 (b) -1/4 (c) 0 c Which is the closest to -739? (a) 5 (b) 2/21 (c) -6/11 c What is the closest to -1/2 in 3, 2.39, -95/2, 2/7? 2/7 Which is the closest to -4? (a) -0.4 (b) 8 (c) 1259 a Which is the nearest to -5? (a) 4 (b) 8 (c) -4/3 (d) -2/129 c What is the closest to -8 in 0.4, -30, -2, -60? -2 Which is the nearest to -14? (a) 0.04 (b) 0 (c) -0.071 c What is the nearest to -1 in -1/9, -4, 727? -1/9 Which is the closest to 0.2? (a) -1/11 (b) 39 (c) -5 (d) -2/11 (e) -1 a Which is the closest to 0? (a) -11/6 (b) -9 (c) 2 (d) 2/7 d Which is the nearest to -2/5? (a) 5 (b) -34 (c) -0.6 (d) -1 (e) 21 c Which is the nearest to 0.2? (a) 22 (b) -10/203 (c) -2/5 b Which is the closest to -4/3? (a) 2/15 (b) -5.38 (c) -5 a Which is the nearest to 0.1? (a) -0.12 (b) -22/19 (c) -10/3 a Which is the nearest to 5? (a) -10.304 (b) 3 (c) 2/7 (d) -2/9 b Which is the closest to 2/9? (a) 2.1 (b) -1 (c) -20 (d) 1 d Which is the closest to 1? (a) 2/7 (b) 10.76 (c) 4 (d) -5 a What is the closest to -0.06 in 5, -3.4, 98, 3/4? 3/4 Which is the nearest to 0.13? (a) 0 (b) 5/38 (c) 1/32 b Which is the closest to -0.2? (a) -0.3 (b) 2/21 (c) 2/6805 (d) 4/9 (e) 1 a Which is the nearest to 0? (a) -1/10 (b) 23 (c) 3 a Which is the nearest to -3? (a) 1 (b) -4 (c) -0.1 (d) -65 b What is the closest to -112 in 5, -3/2, 4? -3/2 Which is the closest to -2/5? (a) 10 (b) -6 (c) -0.7 (d) -3 c Which is the nearest to -2/9? (a) 2/5 (b) 37/5 (c) 1/4 (d) 21 (e) 0 e Which is the nearest to 1/20? (a) -1 (b) -4 (c) -1/15 c Which is the closest to -1/11? (a) 11 (b) -2/3 (c) -0.5 (d) -3 c What is the nearest to 0.1 in 4, -585, -81? 4 Which is the closest to 2/7? (a) -12 (b) 0.1 (c) -4.27 b What is the nearest to -0.1 in 2, -1/29, -2/13, -11/6? -2/13 What is the nearest to 6 in 0, 1/8, 3, 24, -3/4? 3 Which is the nearest to -1/11? (a) -2/11 (b) 2 (c) 939 a What is the closest to -2.6 in 0.2, -2, -3, 2? -3 Which is the nearest to 100? (a) -19.6 (b) 0.5 (c) -1/6 (d) 1 d What is the nearest to -0.407 in -2, -1, 0.09, 3? 0.09 What is the closest to -12 in -12, 25, 0.3, 2? -12 Which is the closest to -6652? (a) 2/5 (b) 0.3 (c) -1/5 c What is the nearest to -18 in -0.4, -4, 6, 10? -4 Which is the closest to 0.08? (a) 2 (b) -13 (c) 23 (d) -1 d Which is the nearest to -2/11? (a) 31 (b) 8/3 (c) 0.3 (d) -1 (e) 2/17 e Which is the nearest to 1/18? (a) 0.2 (b) -0.1 (c) 0.5 (d) -3 (e) -518 a What is the nearest to 6 in 5, 113, 0.06? 5 What is the closest to 31 in 2/19, 22, 11.5? 22 What is the nearest to 0 in 1, -2, 6, 5, -9/13? -9/13 What is the closest to 0.33 in -1/9, 0.5, 132/5? 0.5 Which is the nearest to 1/2? (a) 0.5 (b) -0.3 (c) -0.1613 (d) 6 a What is the closest to 0.1 in -0.6, -3, -60689/4? -0.6 Which is the nearest to 2/5? (a) -6 (b) -4 (c) -3 (d) -2/45 (e) -2 d What is the nearest to -1.4 in -1/5, 50/23, -15, -0.1? -1/5 Which is the nearest to 1/11? (a) 0.2 (b) 1/12 (c) 12 b What is the closest to -4 in 0.4, 0, 0.3, -4, 15901? -4 What is the closest to 2.522 in 7/4, -0.3, -3? 7/4 Which is the closest to 0? (a) -0.5 (b) 63.14 (c) 0 (d) 0.4 (e) -1 c What is the closest to -10 in 2/13, 1/9, 30, -0.033? -0.033 What is the nearest to 3/7 in -5, 1, -71139, 0? 0 Which is the closest to -2/27? (a) -46 (b) -2 (c) -63 b Which is the nearest to -58/11? (a) -2 (b) 0.05 (c) 1 a Which is the nearest to -1? (a) -4 (b) -1361 (c) -5 (d) -2/3 (e) 10 d What is the closest to 1/2 in 10, 2, -7, 0.5, -2/15? 0.5 Which is the closest to 1/3? (a) 0.1 (b) 0.07 (c) -8.82 a Which is the closest to 82? (a) -0.4 (b) -0.343 (c) -3 b What is the closest to -0.2 in -2, 2, 3/2, 832? 3/2 Which is the nearest to -1/146? (a) -1/650 (b) -4 (c) 3 (d) 5 a What is the closest to -0.1 in 19.5, 3/4, 26? 3/4 What is the closest to 2 in -2, 375, 2/13, -1/5, -4? 2/13 What is the closest to 1/2 in -2, 0.1, -44/5, -23? 0.1 Which is the closest to 10? (a) 42 (b) 0 (c) 0.3 (d) 6/11 d What is the nearest to -1 in 5, -35526/13, 0? 0 What is the nearest to -372/5 in 63, -20, 0.5? -20 Which is the closest to 15? (a) -3 (b) -1/27 (c) 0.02 (d) -2/7 c Which is the closest to 0? (a) 19 (b) -28 (c) 0.3 (d) -2/123 d Which is the nearest to -2/11? (a) -3 (b) -0.024 (c) 0 (d) -0.3 d What is the closest to 6 in 0.2, -15, -1/124? 0.2 What is the closest to -2/7 in -3/4, 55, 1/5, 7? -3/4 What is the nearest to 0.84651 in -1/2, -5, 8, 5? -1/2 What is the closest to -1/2 in 2, -60/11, 0.13? 0.13 What is the closest to 0.143 in -3, 1, -0.5, -4, 7? -0.5 Which is the nearest to 53? (a) 2/7 (b) -7 (c) -0.2 (d) -80 (e) -3 a What is the nearest to -2/7 in -2/3, -2/487, -0.06, -0.5, 2/113? -0.5 What is the nearest to 0.4 in 3080, 2/3, -0.4, 9? 2/3 Which is the closest to -3/8? (a) 4/7 (b) -23 (c) -8 (d) -0.27 (e) -0.4 e Which is the closest to -17? (a) -0.01 (b) -2/3 (c) -1343 b Which is the closest to 2? (a) 4 (b) 265/2 (c) 0.049 c What is the closest to 0.03 in 2/9, 2/3311, -0.15, -4? 2/3311 What is the closest to 0 in -2, 44, -1, 0.3, -2/17? -2/17 What is the closest to 0.17 in -0.5, -1, 0.04, 1/10? 1/10 Which is the closest to -2/7? (a) 2344 (b) -0.1 (c) -7/2 b What is the nearest to -7 in 0.3, 3, 2, -0.2, -9.8? -9.8 Which is the nearest to 2/5? (a) 3 (b) 9 (c) -4 (d) 6 a What is the closest to -1/2 in 4, -1.9555, -0.2, -1? -0.2 What is the closest to 8/7 in -0.4, -247, 2? 2 What is the nearest to -0.07 in -1/212, 2, -4/3, -2/5? -1/212 Which is the closest to 3? (a) -
{ "pile_set_name": "DM Mathematics" }
e. h**(-1409/483) Simplify (a**(1/3)*(a*(a**8/a)/a)/a*(a/a**(1/2))**(-8))**(2/59) assuming a is positive. a**(14/177) Simplify (((w*w/(w/(w/(w*w/(w**0/w)))))/(w*w**(-1/4)))**(8/13))**6 assuming w is positive. w**(-84/13) Simplify w**(-7/8)/w**(13/4)*w**(-26)/((((w*w**(2/71))/w)/w)/w) assuming w is positive. w**(-15991/568) Simplify (b**(1/9)*b)/(b**(1/2)*b*b)*(b**6)**(-3/19) assuming b is positive. b**(-799/342) Simplify ((w/((w*w**(2/43))/w)*w)**(-37))**(-48) assuming w is positive. w**(149184/43) Simplify (n**(3/2))**9/(((n**4/n*n)/n)/(n*n**(4/7))) assuming n is positive. n**(169/14) Simplify (s**(-1/2)*s)**(-9/4)/(s**(-2)*s/(s/s**(1/2))) assuming s is positive. s**(3/8) Simplify ((m**11*m*m)/(m**(-7)*m))/(m**8*m/m**0*m) assuming m is positive. m**9 Simplify r**(1/5)/r*(r/r**18)/r*r**(-12)/((r/r**(-5/3))/r*r) assuming r is positive. r**(-502/15) Simplify (a/(a*a/(a/(a*a/a**(-3)))*a*a)*a**(1/9))/(a**(-16))**(-19/5) assuming a is positive. a**(-3046/45) Simplify h/h**(10/3)*h*h**(-21)*h**(-19)*h**(-20) assuming h is positive. h**(-184/3) Simplify (o**17/o**17)**(-43) assuming o is positive. 1 Simplify (z/z**(-7)*z*z*z*z**(2/7)*z)/(z**(-1/10)/z**20) assuming z is positive. z**(2267/70) Simplify ((t/((t*t*t*t*(t*(t/t**(1/5))/t)/t)/t)*t)/(t/t**33))**(4/29) assuming t is positive. t**(624/145) Simplify (((i**(-1/5))**24)**(-10/9))**40 assuming i is positive. i**(640/3) Simplify (o*o**(-2))**(-39)/((o*o/o**(-1/23))/(o**33*o)) assuming o is positive. o**(1632/23) Simplify (y**(-11/4)*y**12)/((y**(-15)/y*y)/y*y/(y/(((y*(y*y**4*y)/y)/y*y)/y)*y)*y) assuming y is positive. y**(81/4) Simplify ((v/v**(-3))/v**(-1/3))/(v**(-6)*v/(v*v/(v**(-21)*v))) assuming v is positive. v**(94/3) Simplify ((b*(b*b**3*b)/b*b*b)**5*(b**(-4))**16)**21 assuming b is positive. b**(-609) Simplify (((q**5)**(-7/3))**(-1/10))**8 assuming q is positive. q**(28/3) Simplify (s**(-2/13)/s**3)/(((s**8/s)/s)/(s/s**(1/7))) assuming s is positive. s**(-755/91) Simplify (h*h**(-2/13)/h)**(20/7)/((h*h**(-3/8))/h*h**(-7)) assuming h is positive. h**(5049/728) Simplify ((s*s**(3/4)*s*s**0/s)/((s*s*(s/((s*s**(-1)*s)/s))/s)/s*s)**(-2/151))**(-41) assuming s is positive. s**(-43993/604) Simplify (d**19)**(-4/3)*d*d**(-19)*d**28 assuming d is positive. d**(-46/3) Simplify (i**(2/5))**(-43)*i**(1/3)*i*i**(-11)*i assuming i is positive. i**(-388/15) Simplify ((f*f**0/f)**(7/2)/(f/f**(-1))**(-30))**(-1/24) assuming f is positive. f**(-5/2) Simplify (((p*p**(2/27)*p*p)/p*p)/(p*p**8))/(p**20/p**24) assuming p is positive. p**(-52/27) Simplify ((b**(-2/3)*b**(1/14))**14)**34 assuming b is positive. b**(-850/3) Simplify (((((m**(-2/9)/m*m)/m)/m)/m*m**(-2))/(m*m/m**(-1/4))**(-1/22))**(-38) assuming m is positive. m**(77045/396) Simplify l**(12/5)*l**(-8)*l*l*l*(l/l**(-2/83))/(l/l**(-17)) assuming l is positive. l**(-8124/415) Simplify ((y*y**(-1/18))/((y/((y**(-11/6)/y*y)/y))/y*y))/(y**(-3/14))**(-24) assuming y is positive. y**(-506/63) Simplify (m**(-20))**(5/13)/(m*m**(-8/11)*m*(m/((m*m*m/(m*m**(2/9))*m)/m)*m)/m) assuming m is positive. m**(-10537/1287) Simplify (j**(-11)/(j**11*j))/(j/j**(-3))**15 assuming j is positive. j**(-83) Simplify g*g**(-3/5)/g*g**(-12)*(g**(-2/11))**32 assuming g is positive. g**(-1013/55) Simplify h**(2/3)*h*h*h**(-7/2)*h*(h/h**(-8))/h**(-12) assuming h is positive. h**(127/6) Simplify (p/(p/(p*((p*p/(p/p**(-8/5)))/p)/p*p*p*p)*p*p)*p)**43/(p**(-23))**(-41) assuming p is positive. p**(-4629/5) Simplify (v*v/v**(2/31))**(-36)/((v*v*v**(-4/5)/v*v)/(v/(v*v**(-15)))) assuming v is positive. v**(-8661/155) Simplify (o**(-2/13))**(-7)/(o**20/(o/o**(-2/79)*o)) assuming o is positive. o**(-17354/1027) Simplify j**(-4/15)*j*j**1*((j**1/j)/j)**(-26) assuming j is positive. j**(416/15) Simplify (v**(10/11))**(-4)*(v**10*v*v)/v*v**(2/11) assuming v is positive. v**(83/11) Simplify ((((w*w*w*w**(-5)*w)/w*w)/w*w/(w*w**(3/2)))/((w**(-6)*w*w)/(w**(-7)*w)))**(2/3) assuming w is positive. w**(-11/3) Simplify ((g/(g/g**(1/9)))/(g*g**11))/(g*g*(g/g**(-3))/g*g*g*g)**(-2/77) assuming g is positive. g**(-8095/693) Simplify (h*h*h**(-3))/(h/(h*h**(-9)))*(h/(h*h**2)*h)**(23/4) assuming h is positive. h**(-63/4) Simplify ((j*j*j/(j**3*j*j))/(j*j/(j/(j**(-11)*j)))*(j/j**(3/4))/j**(3/5))**(6/7) assuming j is positive. j**(57/10) Simplify (l**(-11)*l/(l*l**26))/((l*l**(-3/2))/l)**(-2/27) assuming l is positive. l**(-334/9) Simplify (b**(-2/19)*b*b**(-1/10))/((b/(b*b**(-3)))/(b*b*b/(b**1/b))) assuming b is positive. b**(151/190) Simplify ((k**4/k)/k**(-4/15))/((k**(-11/4)/k*k)/k)**(1/31) assuming k is positive. k**(6301/1860) Simplify (y/(y*y/y**(-7))*y/((y**19/y)/y))/(y**(-1))**18 assuming y is positive. y**(-6) Simplify (u*u**0)**(-1/35)*(u**(-6)*u*u)/u**(10/11) assuming u is positive. u**(-1901/385) Simplify ((h/h**9)/h**(-2/51))/(h*h/(h*h**(3/7)/h))**41 assuming h is positive. h**(-25843/357) Simplify ((n/n**1*n*n)/n)**35/(n**16/n**17) assuming n is positive. n**36 Simplify (t/(t*t/(t*t**(-4)*t)))**(5/6)*(t/t**15)/t**5 assuming t is positive. t**(-43/2) Simplify (u**(-1/7))**(-3/29)/((u/u**(-1/18))/(u*u/u**1)) assuming u is positive. u**(-149/3654) Simplify (l**(-5))**(1/7)*l*l**(-6)*l*(l/l**(-4))/l*l*l assuming l is positive. l**(9/7) Simplify d**14/d**20*d**(4/5)/(d**(2/7)*d) assuming d is positive. d**(-227/35) Simplify (k*k**(-2/13)*k)**48/(k**(2/5))**28 assuming k is positive. k**(5032/65) Simplify k**16/k*(k**(-11)*k)/k*k**33*k**(-18)*k assuming k is positive. k**20 Simplify g**22/g*g**(-1)*g*g**8/((g/(g*g**(2/55)))/g) assuming g is positive. g**(1652/55) Simplify g**(-5)*g*g*g/(g**(-4)/g*g)*g*(g**1/g)/(g*g**(2/7)) assuming g is positive. g**(12/7) Simplify (g*g**(-1/3)/g*g/((g/g**(-4/5))/g))/(g/(g*g**14/g)*g/(g*g**(-5/2))) assuming g is positive. g**(311/30) Simplify (y*y*y**0/y*((y**(-11/2)*y)/y*y)/y*y)/(y**(-5)*y*y*y**(-12)) assuming y is positive. y**(23/2) Simplify (m/m**(2/19))/(m/(m/(m*(m/(m*m/m**(-14)*m))/m*m)))*m*m*m**(2/41)*m/(m*m**(-6/19)) assuming m is positive. m**(14224/779) Simplify ((m*m*m**(1/25)*m)/((((m*m**17*m*m)/m*m)/m)/m*m))/((m**(-9)/m)/(m**(-1/28)*m)) assuming m is positive. m**(-3497/700) Simplify ((z*z**(-5)*z**(1/2))**(14/9))**(6/5) assuming z is positive. z**(-98/15) Simplify c**4*c**(-1/26)/c*c**5*(c*c**(-2/33)*c*c)/c assuming c is positive. c**(8495/858) Simplify ((o/(o/(o*o**(-30)*o)))/(o*o/(o/(o*o**27)*o)))/(o**27/o**(3/2)) assuming o is positive. o**(-163/2) Simplify ((m**(1/2))**(2/17)/(m**(-2))**(2/31))**16 assuming m is positive. m**(1584/527) Simplify (u**(-13)/((u*u**16)/u*u*u))/((u*u**(1/2)*u)/u**(-2/15)) assuming u is positive. u**(-1009/30) Simplify (q/(q**5/q)*q**(10/7)*q)/(q**(-3/10)*q)**(-44/3) assuming q is positive. q**(1018/105) Simplify ((h/(h**22*h*h))/h)**(9/2)*h**(-4/27)*h**(-18) assuming h is positive. h**(-3406/27) Simplify ((a**0/(a/a**(-6)*a))/(a/(a**(-1)/a))**(-7))**(-1/3) assuming a is positive. a**(-13/3) Simplify (n**(5/2))**8*(n*n/(n/n**(-5/4))*n)**(1/22) assuming n is positive. n**(1763/88) Simplify (s**(-6)/s)/(s*s**1)*(s**(-2/13)/s)**(18/7) assuming s is positive. s**(-1089/91) Simplify ((t*t/(t/(t/t**(-4))))/(t**(2/65)*t))/(t/t**(-8)*t)**4 assuming t is positive. t**(-2277/65) Simplify (q*q/q**0*q)/q*q**(2/11)*q/q**(2/5)*q*q*q**(2/3) assuming q is positive. q**(899/165) Simplify (r**5/(r**(-10)*r))/(r/(r*r**(1/3)*r)*r/r**(1/7)*r) assuming r is positive. r**(283/21) Simplify r**(-30)*r*r*r**(-1)*(r**(2/33))**(4/5) assuming r is positive. r**(-4777/165) Simplify (z**(2/5)/z)**36*z/z**(-7/3)*z*z*z**(-1/13)/z assuming z is positive. z**(-3382/195) Simplify ((k**(9/5)*k*k)/k*k/(k/k**(-15/4)))/(k**(-36)/((k*((k*(k**31*k)/k)/k)/k)/k)) assuming k is positive. k**(1301/20) Simplify (z/(z**(-1/3)*z))**(-1/92)*(z/(z*z**(1/2)))/(((z/(z*z/z**(-1/4)))/z)/z) assuming z is positive. z**(379/138) Simplify y**(-1/30)/y**18*(y**(9/5))**(-12/7) assuming y is positive. y**(-887/42) Simplify (((x**(2/9)*x)/x**(-4))/(x**(-2/5))**(-3/26))**24 assuming x is positive. x**(24224/195) Simplify ((g*g*g*g**20)/g)/(g/g**(-2/41))*((g*g/(g*(g/(g/(g/(g*g**(1/22)))))/g))/g)**46 assuming g is positive. g**(31138/451) Simplify ((m**(-3/2)/m**(-11))**(-40))**20 assuming m is positive. m**(-7600) Simplify (h**(-2/47)/h**(-6/7))/((((((h/((h/(h**29*h*h))/h)*h)/h)/h
{ "pile_set_name": "DM Mathematics" }
vided by 86? 77 What is the remainder when 1450 is divided by 47? 40 Calculate the remainder when 415 is divided by 20. 15 What is the remainder when 383 is divided by 24? 23 Calculate the remainder when 19682 is divided by 243. 242 What is the remainder when 1346 is divided by 193? 188 What is the remainder when 1064 is divided by 79? 37 Calculate the remainder when 3492 is divided by 19. 15 What is the remainder when 167 is divided by 56? 55 What is the remainder when 123 is divided by 43? 37 Calculate the remainder when 9 is divided by 6. 3 What is the remainder when 79 is divided by 15? 4 Calculate the remainder when 86 is divided by 43. 0 What is the remainder when 793 is divided by 138? 103 What is the remainder when 4767 is divided by 8? 7 Calculate the remainder when 8353 is divided by 35. 23 Calculate the remainder when 88 is divided by 29. 1 What is the remainder when 4693 is divided by 27? 22 Calculate the remainder when 86 is divided by 32. 22 What is the remainder when 2444 is divided by 36? 32 What is the remainder when 854 is divided by 169? 9 Calculate the remainder when 732 is divided by 148. 140 What is the remainder when 1721 is divided by 212? 25 Calculate the remainder when 400 is divided by 52. 36 Calculate the remainder when 267 is divided by 69. 60 Calculate the remainder when 2156 is divided by 83. 81 Calculate the remainder when 4942 is divided by 20. 2 Calculate the remainder when 309 is divided by 100. 9 What is the remainder when 78 is divided by 38? 2 Calculate the remainder when 707 is divided by 90. 77 What is the remainder when 2569 is divided by 364? 21 What is the remainder when 155 is divided by 34? 19 What is the remainder when 188 is divided by 22? 12 Calculate the remainder when 3056 is divided by 133. 130 Calculate the remainder when 39 is divided by 19. 1 What is the remainder when 1057 is divided by 1035? 22 Calculate the remainder when 109 is divided by 13. 5 Calculate the remainder when 360 is divided by 120. 0 What is the remainder when 172 is divided by 25? 22 What is the remainder when 352 is divided by 42? 16 What is the remainder when 3312 is divided by 1087? 51 Calculate the remainder when 491 is divided by 19. 16 Calculate the remainder when 1955 is divided by 89. 86 Calculate the remainder when 209 is divided by 43. 37 Calculate the remainder when 668 is divided by 171. 155 Calculate the remainder when 813 is divided by 37. 36 Calculate the remainder when 1323 is divided by 188. 7 Calculate the remainder when 489 is divided by 26. 21 What is the remainder when 731 is divided by 100? 31 Calculate the remainder when 132 is divided by 27. 24 Calculate the remainder when 491 is divided by 19. 16 Calculate the remainder when 278 is divided by 56. 54 What is the remainder when 55 is divided by 5? 0 Calculate the remainder when 145 is divided by 68. 9 Calculate the remainder when 21 is divided by 14. 7 Calculate the remainder when 375 is divided by 8. 7 Calculate the remainder when 31 is divided by 3. 1 What is the remainder when 88 is divided by 26? 10 What is the remainder when 70 is divided by 37? 33 Calculate the remainder when 1563 is divided by 112. 107 What is the remainder when 89 is divided by 28? 5 Calculate the remainder when 471 is divided by 6. 3 What is the remainder when 277 is divided by 60? 37 Calculate the remainder when 1546 is divided by 18. 16 Calculate the remainder when 52 is divided by 21. 10 Calculate the remainder when 1660 is divided by 6. 4 What is the remainder when 159 is divided by 8? 7 What is the remainder when 1857 is divided by 919? 19 What is the remainder when 718 is divided by 120? 118 Calculate the remainder when 454 is divided by 57. 55 What is the remainder when 1075 is divided by 11? 8 Calculate the remainder when 1790 is divided by 16. 14 What is the remainder when 264 is divided by 34? 26 Calculate the remainder when 4666 is divided by 38. 30 Calculate the remainder when 2748 is divided by 125. 123 What is the remainder when 5586 is divided by 13? 9 What is the remainder when 558 is divided by 112? 110 What is the remainder when 2350 is divided by 2334? 16 What is the remainder when 105 is divided by 23? 13 Calculate the remainder when 1452 is divided by 469. 45 What is the remainder when 93 is divided by 14? 9 Calculate the remainder when 250 is divided by 85. 80 Calculate the remainder when 7274 is divided by 17. 15 What is the remainder when 16 is divided by 3? 1 What is the remainder when 3359 is divided by 10? 9 What is the remainder when 425 is divided by 9? 2 What is the remainder when 5799 is divided by 58? 57 What is the remainder when 144 is divided by 28? 4 Calculate the remainder when 317 is divided by 11. 9 What is the remainder when 259 is divided by 10? 9 Calculate the remainder when 161 is divided by 28. 21 Calculate the remainder when 470 is divided by 35. 15 What is the remainder when 2076 is divided by 2061? 15 What is the remainder when 47 is divided by 30? 17 Calculate the remainder when 135 is divided by 42. 9 Calculate the remainder when 422 is divided by 81. 17 What is the remainder when 1343 is divided by 87? 38 Calculate the remainder when 62 is divided by 38. 24 What is the remainder when 104 is divided by 3? 2 What is the remainder when 193 is divided by 15? 13 What is the remainder when 213 is divided by 16? 5 Calculate the remainder when 285 is divided by 13. 12 What is the remainder when 479 is divided by 98? 87 Calculate the remainder when 154 is divided by 79. 75 What is the remainder when 4029 is divided by 21? 18 What is the remainder when 94 is divided by 37? 20 Calculate the remainder when 449 is divided by 54. 17 What is the remainder when 2204 is divided by 50? 4 Calculate the remainder when 61 is divided by 13. 9 What is the remainder when 162 is divided by 95? 67 Calculate the remainder when 2959 is divided by 10. 9 What is the remainder when 66 is divided by 45? 21 Calculate the remainder when 1945 is divided by 327. 310 What is the remainder when 2764 is divided by 277? 271 What is the remainder when 235 is divided by 38? 7 Calculate the remainder when 318 is divided by 12. 6 Calculate the remainder when 542 is divided by 270. 2 Calculate the remainder when 2623 is divided by 71. 67 Calculate the remainder when 37 is divided by 21. 16 Calculate the remainder when 298 is divided by 30. 28 Calculate the remainder when 123 is divided by 16. 11 Calculate the remainder when 2750 is divided by 549. 5 Calculate the remainder when 6866 is divided by 202. 200 Calculate the remainder when 95 is divided by 14. 11 Calculate the remainder when 1118 is divided by 14. 12 What is the remainder when 2159 is divided by 40? 39 Calculate the remainder when 926 is divided by 3. 2 Calculate the remainder when 955 is divided by 138. 127 What is the remainder when 696 is divided by 373? 323 Calculate the remainder when 405 is divided by 24. 21 What is the remainder when 438 is divided by 75? 63 What is the remainder when 253 is divided by 17? 15 What is the remainder when 1702 is divided by 124? 90 Calculate the remainder when 27 is divided by 22. 5 Calculate the remainder when 309 is divided by 18. 3 What is the remainder when 630 is divided by 309? 12 What is the remainder when 14070 is divided by 34? 28 What is the remainder when 115 is divided by 33? 16 Calculate the remainder when 66 is divided by 42. 24 Calculate the remainder when 968 is divided by 57. 56 Calculate the remainder when 12 is divided by 9. 3 What is the remainder when 83 is divided by 7? 6 Calculate the remainder when 308 is divided by 16. 4 What is the remainder when 1101 is divided by 79? 74 What is the remainder when 1994 is divided by 16? 10 What is the remainder when 341 is divided by 112? 5 What is the remainder when 519 is divided by 104? 103 What is the remainder when 683 is divided by 58? 45 Calculate the remainder when 79 is divided by 9. 7 Calculate the remainder when 267 is divided by 24. 3 Calculate the remainder when 985 is divided by 196. 5 Calculate the remainder when 50 is divided by 30. 20 What is the remainder when 2374 is divided by 107? 20 What is the remainder when 383 is divided by 97? 92 What is the remainder when 144 is divided by 38? 30
{ "pile_set_name": "DM Mathematics" }
common factor of 140 and 112? 28 What is the highest common divisor of 29 and 29? 29 What is the highest common factor of 196 and 70? 14 What is the greatest common factor of 368 and 230? 46 What is the greatest common divisor of 56 and 144? 8 What is the greatest common divisor of 45375 and 33? 33 Calculate the greatest common factor of 75 and 115. 5 What is the highest common factor of 65 and 13? 13 Calculate the greatest common factor of 11 and 3773. 11 What is the greatest common factor of 59 and 7493? 59 What is the greatest common factor of 9 and 558? 9 What is the greatest common factor of 230 and 644? 46 Calculate the highest common divisor of 1380 and 552. 276 What is the highest common factor of 63 and 45? 9 Calculate the highest common factor of 86 and 7740. 86 What is the highest common factor of 32 and 272? 16 Calculate the greatest common divisor of 84840 and 140. 140 What is the highest common divisor of 9379 and 226? 113 Calculate the highest common divisor of 48 and 2202. 6 Calculate the highest common factor of 1710 and 135. 45 Calculate the highest common factor of 5635 and 735. 245 What is the greatest common factor of 126 and 18? 18 Calculate the highest common divisor of 546 and 1155. 21 Calculate the greatest common factor of 500 and 80. 20 What is the greatest common divisor of 19 and 281? 1 What is the greatest common factor of 441 and 98? 49 What is the greatest common divisor of 5362 and 98? 14 Calculate the greatest common divisor of 285 and 57. 57 Calculate the highest common divisor of 36 and 396. 36 What is the greatest common divisor of 52 and 416? 52 Calculate the greatest common factor of 19 and 5643. 19 Calculate the highest common divisor of 91 and 377. 13 Calculate the highest common factor of 66 and 78. 6 What is the highest common divisor of 315 and 4284? 63 Calculate the highest common divisor of 392 and 49. 49 Calculate the greatest common divisor of 12 and 480. 12 Calculate the greatest common factor of 29 and 1. 1 What is the greatest common divisor of 10930 and 10? 10 What is the highest common divisor of 9048 and 104? 104 Calculate the greatest common divisor of 33 and 7579. 11 What is the highest common divisor of 1776 and 384? 48 What is the greatest common factor of 114 and 741? 57 Calculate the greatest common divisor of 43 and 86. 43 Calculate the greatest common divisor of 54233 and 281. 281 Calculate the highest common divisor of 272 and 646. 34 What is the highest common divisor of 867 and 51? 51 What is the highest common divisor of 310 and 5828? 62 What is the greatest common divisor of 420 and 7? 7 What is the highest common divisor of 484 and 33? 11 Calculate the highest common divisor of 1323 and 27. 27 Calculate the greatest common divisor of 46 and 46. 46 What is the highest common factor of 800 and 32? 32 What is the greatest common factor of 1766 and 2? 2 Calculate the greatest common divisor of 15 and 795. 15 What is the highest common divisor of 896 and 2048? 128 Calculate the highest common divisor of 34560 and 270. 270 What is the highest common divisor of 25 and 11075? 25 What is the highest common divisor of 516 and 12? 12 What is the greatest common factor of 16 and 1712? 16 Calculate the highest common divisor of 510 and 10030. 170 Calculate the highest common divisor of 1903 and 11. 11 What is the highest common factor of 7 and 10? 1 What is the highest common factor of 13 and 351? 13 Calculate the greatest common divisor of 2 and 550. 2 What is the greatest common divisor of 23 and 7? 1 What is the highest common factor of 550 and 22? 22 Calculate the greatest common factor of 136 and 128. 8 What is the highest common factor of 126 and 72? 18 Calculate the greatest common factor of 12 and 384. 12 Calculate the highest common factor of 30 and 3390. 30 Calculate the highest common divisor of 117 and 72. 9 What is the highest common divisor of 418 and 1408? 22 Calculate the greatest common factor of 1296 and 81. 81 Calculate the greatest common factor of 18516 and 12. 12 Calculate the greatest common divisor of 38 and 32642. 38 What is the highest common factor of 24 and 1056? 24 What is the highest common divisor of 558 and 10881? 279 Calculate the highest common factor of 10 and 1210. 10 What is the highest common factor of 30849 and 113? 113 What is the highest common factor of 11 and 11? 11 Calculate the greatest common divisor of 1564 and 92. 92 Calculate the greatest common divisor of 228 and 240. 12 What is the greatest common divisor of 1431 and 371? 53 What is the greatest common divisor of 130 and 1222? 26 Calculate the greatest common divisor of 36 and 40176. 36 What is the highest common factor of 8 and 312? 8 What is the highest common divisor of 595 and 17? 17 Calculate the highest common divisor of 104 and 2938. 26 What is the highest common factor of 2452 and 4? 4 Calculate the greatest common factor of 195 and 1005. 15 What is the greatest common divisor of 4614 and 30? 6 What is the highest common factor of 856 and 8? 8 What is the highest common factor of 8 and 104? 8 Calculate the highest common divisor of 95 and 1465. 5 Calculate the highest common factor of 3 and 24. 3 What is the highest common factor of 3650 and 292? 146 What is the highest common factor of 72 and 2664? 72 What is the highest common factor of 8991 and 1701? 243 What is the highest common divisor of 90 and 54? 18 Calculate the highest common divisor of 27 and 3051. 27 What is the highest common divisor of 330 and 2640? 330 Calculate the greatest common factor of 8 and 146. 2 Calculate the greatest common factor of 12 and 116. 4 What is the greatest common factor of 2436 and 84? 84 Calculate the greatest common factor of 10236 and 24. 12 What is the highest common factor of 4 and 596? 4 Calculate the greatest common divisor of 328 and 24. 8 Calculate the highest common divisor of 41 and 205. 41 Calculate the greatest common factor of 10265 and 5. 5 What is the greatest common factor of 39 and 15? 3 Calculate the greatest common divisor of 5 and 7. 1 Calculate the highest common divisor of 325 and 50. 25 What is the greatest common factor of 200 and 250? 50 Calculate the highest common divisor of 1305 and 348. 87 What is the greatest common divisor of 2 and 22? 2 What is the greatest common divisor of 7518 and 14? 14 Calculate the greatest common divisor of 876 and 60. 12 Calculate the greatest common divisor of 17 and 136. 17 Calculate the highest common divisor of 2592 and 81. 81 What is the highest common factor of 17259 and 33? 33 Calculate the greatest common divisor of 8 and 36. 4 What is the greatest common factor of 9 and 279? 9 What is the highest common divisor of 114 and 1064? 38 Calculate the highest common factor of 48 and 254. 2 What is the greatest common divisor of 452 and 12? 4 What is the greatest common divisor of 15928 and 88? 88 Calculate the highest common divisor of 50 and 11450. 50 What is the greatest common divisor of 7 and 5761? 7 Calculate the highest common factor of 8 and 328. 8 What is the greatest common divisor of 330 and 891? 33 What is the greatest common divisor of 85 and 1865? 5 What is the highest common factor of 25 and 45? 5 What is the highest common factor of 24 and 9736? 8 What is the greatest common factor of 34 and 4811? 17 Calculate the highest common factor of 39 and 822. 3 What is the greatest common divisor of 3231 and 9? 9 Calculate the greatest common factor of 22 and 418. 22 Calculate the greatest common factor of 20025 and 225. 225 Calculate the highest common divisor of 7 and 1701. 7 What is the greatest common factor of 368 and 16? 16 Calculate the greatest common divisor of 6252 and 12. 12 Calculate the greatest common divisor of 70690 and 10. 10 What is the greatest common divisor of 382 and 6? 2 Calculate the highest common factor of 38 and 361. 19 What is the greatest common factor of 6848 and 64? 64 What is the highest common divisor of 943 and 82? 41 What is the greatest common divisor of 36 and 2412? 36 What is the greatest common factor of 330 and 210? 30 Calculate the greatest common divisor of 20 and 72. 4 What is the greatest common divisor of 615 and 246? 123 Calculate the greatest common divisor of 1 and 947. 1 Calcu
{ "pile_set_name": "DM Mathematics" }
37306901 a prime number? True Is 296341501 prime? False Is 1888609 composite? False Is 1123457 prime? False Is 43604555 prime? False Is 563009 prime? True Is 127264661 composite? False Is 55809263 a composite number? False Is 6254593 prime? True Is 59497 prime? True Is 24924833 a prime number? False Is 25246627 a composite number? True Is 40317293 composite? True Is 35338 prime? False Is 165812539 prime? False Is 3971458 a prime number? False Is 128337041 a prime number? False Is 27794717 a prime number? True Is 3188013 a composite number? True Is 20214581 a composite number? True Is 56687807 a composite number? True Is 1708934 prime? False Is 16806599 composite? False Is 3012877 composite? True Is 28273281 a composite number? True Is 19749805 a prime number? False Is 106470347 a prime number? True Is 146925191 a composite number? True Is 2699731 composite? True Is 87466889 a composite number? False Is 6759943 a prime number? True Is 20280743 prime? 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False Is 882326365 a prime number? False Is 67047041 a prime number? False Is 43579267 composite? False Is 2850619 composite? False Is 462755 prime? False Is 81319711 a composite number? True Is 106962637 a prime number? False Is 677135 a composite number? True Is 20454001 a prime number? True Is 515329807 composite? False Is 2157391 a composite number? False Is 251723 prime? False Is 12363331 a prime number? True Is 213566491 prime? True Is 25029177 prime? False Is 83708686 composite? True Is 17306923 a prime number? False Is 18324203 composite? True Is 32696057 a prime number? False Is 18878807 a prime number? True Is 13886065 prime? False Is 39652801 a composite number? True Is 5333641 a prime number? False Is 22553497 composite? False Is 1505451 a composite number? True Is 83875811 prime? True Is 4389131 prime? True Is 3063539 a composite number? False Is 69348493 composite? True Is 299039 a composite number? True Is 1350959 a composite number? False Is 1373615 a composite number? True Is 83062909 a composite number? False Is 36835019 composite? True Is 404391379 a composite number? True Is 447751 a prime number? False Is 712667 a composite number? True Is 85381 prime? True Is 198089979 composite? True Is 1667217 a prime number? False Is 7201949 composite? False Is 161959703 prime? False Is 51221462 prime? False Is 1240471 prime? False Is 35645921 prime? True Is 5029951 prime? True Is 127923109 composite? False Is 10231511 prime? True Is 1254349 a composite number? True Is 578923 composite? False Is 10876837 composite? False Is 21467653 a composite number? False Is 193481 prime? False Is 2856773 a prime number? True Is 167261663 prime? True Is 6863609 prime? False Is 528247 a prime number? True Is 181387183 a composite number? False Is 2031671 a prime number? True Is 77995483 prime? False Is 567764467 composite? True Is 15150203 prime? False Is 4026655 composite? True Is 3383671 a prime number? False Is 1370021 a composite number? True Is 685943 prime? False Is 79540933 prime? True Is 415354321 composite? False Is 7047947 a prime number? True Is 237701 a composite number? False Is 7145561 prime? False Is 18745187 prime? True Is 924551 a prime number? True Is 7762873 composite? False Is 19700293 prime? True Is 2205107 prime? True Is 57599359 prime? False Is 42474493 a prime number? True Is 2353138193 a prime number? False Is 105667 a prime number? True Is 60206443 a prime number? False Is 2885947 a prime number? True Is 13590289 a composite number? True Is 56782679 a composite number? True Is 4854839 composite? True Is 9481739 a composite number? False Is 55492439 composite? True Is 41801791 prime? False Is 8185129 a composite number? True Is 2397569 a composite number? False Is 146091769 composite? True Is 4858519 a composite number? False Is 346169 a prime number? True Is 122351 composite? True Is 4996321 a composite number? True Is 695347 a composite number? False Is 722167651 prime? True Is 11323093 prime? False Is 702019 composite? True Is 20597401 a composite number? True Is 90279157 composite? False Is 9240601 prime? True Is 84195343 prime? True Is 3081119 a composite number? False Is 141208513 a prime number? False Is 8989903 a prime number? False Is 329344359 a composite number? True Is 1162141 composite? True Is 18813401 a prime number? False Is 1362241 a composite number? True Is 91972723 a composite number? False Is 82964951 prime? True Is 656471 composite? False Is 146356351 a composite number? False Is 16485527 a prime number? True Is 61350533 a composite number? False Is 10687469 prime? False Is 873247 a prime number? True Is 91111343 a composite number? False Is 14787749 prime? True Is 70380913 a composite number? False Is 22535021 composite? False Is 55730903 a composite number? False Is 186763619 prime? False Is 438131 a composite number? False Is 413209 prime? False Is 5473829 prime? False Is 2138221 composite? False Is 82643809 a composite number? False Is 3208721 prime? True Is 1630243 prime? True Is 3800189 composite? True Is 3129439 composite? False Is 52462831 a prime number? True Is 12162169 composite? False Is 202236107 composite? False Is 8125691 a prime number? False Is 13421939 a composite number? True Is 108889307 composite? False Is 71704343 a prime number? True Is 42763961 composite? False Is 17100149 prime? False Is 78011197 a prime number? False Is 15591113 composite? True Is 4523977 composite? True Is 6301669 composite? True Is 826117 prime? False Is 27675253 a composite number? False Is 37524261 composite? True Is 153504707 a composite number? False Is 13550239 composite? True Is 57543 prime? False Is 9631913 composite? False Is 2081951 a composite number? True Is 1292887 a prime number? True Is 24449547 composite? True Is 17306729 a prime number? False Is 174617 composite? False Is 2519585581 a prime number? True Is 8499361 prime? False Is 306091 a prime number? True Is 3433805 a prime number? False Is 14331023 composite? True Is 3396313 a prime number? True Is 1164421 a composite number? True Is 921659 composite? True Is 193199 a prime number? False Is 30381077 a prime number? False Is 1054483477 a composite number? False Is 208188389 composite? False Is 4336061 composite? False Is 32541931 a prime number? False Is
{ "pile_set_name": "DM Mathematics" }
5976*h + 95981*h - 5 = -2*r for r. 5 Solve 10431*p + 39*j = 10432*p - 42 - 7, -2 = 2*j for p. 10 Solve 5*i = 4*p - 352, -118*i = 3*p - 121*i - 213 for p. 3 Solve 63*c - 14 = 55*c + 2*g, 0 = 2*c - 2*c - 2*g + 2 for c. 2 Solve 0 = 2*y + 4*s + 80, -2041*y + 4*s = -2038*y - 80 for y. 0 Solve -30*c + 89*c + 194 = 25*c + 30*c - 6*f, 2*f + 68 = 2*c for c. 1 Solve -6635*f - 50 = 3*d - 6637*f, -f + 31 = -3*d for d. -4 Solve 4*b = -188453*k + 188461*k - 8, 5*k - 65 = -5*b for k. 5 Solve -5*g = -3*c - 252 + 269, 246*c = g + 248*c - 7 for g. -1 Solve 4*x = -2*x + 5*x - 4*o - 25, 0 = 263*x - 271*x + 3*o + 45 for x. 3 Solve -l - v = 396 - 408, 2*l - 72 = -8*v for l. 4 Solve 26*c = 5*o + 7, 28 = 2*o + 2*c + 3*c for o. 9 Solve 0 = u - 5*y - 12 + 35, 5*u + 7582 = -9*y + 3821 + 3816 for u. 2 Solve -v - 6 - 129 = -20*t, 2*t - 2*t - 2*v - 70 = -0*t for t. 5 Solve -23*t - 7*t + 32*t + 7*q = -46, 0 = 2*q + 12 for t. -2 Solve -2 = -2*g + 405*r - 407*r + 80, r - 21 = 3*g for g. 5 Solve 2*a + 2 = 3*w + 11 - 3, -4*w - 21 = -5*a + 8 for w. 4 Solve h + 2*c - 7*c = -147, -52*h + 47*h - 213 = -7*c for h. -2 Solve 0 = 7*x - 77, 112*z - 51*z - 59*z - 3*x = -0*x - 31 for z. 1 Solve -t = 4*m - 2*t - 65, -m - 117 = -8*m - 3163*t + 3168*t for m. 16 Solve 212*l - 4*i = 210*l - i - 15, -4 + 2 = -i - 3 for l. -9 Solve v - 107 = -13*i + 4*v, -3*v + 122 + 43 = 21*i for i. 8 Solve 0*d + d - 92046*f + 92071*f = 74, -2*f = -6 for d. -1 Solve 2*i + 42*a = 41*a + 16, -23*i + 6*a - 8 = -19*i + 8 for i. 5 Solve -8*z - 2*h - 4 = -8 - 6, -16*h + 3*h = -z - 65 for z. 0 Solve n - 125 - 121 = -q - 245, -q - 3*n = -5 for q. -1 Solve 5*q + 5*t = -5, -19 = 1345*q - 1346*q + 4*t for q. 3 Solve -5*i - 20 = 2*r, 912936*r + 268 = 2*i + 912992*r for i. -6 Solve -10*r + 3*r + 0 + 7 = 1 - 1, -3*r + 8 = 5*l for l. 1 Solve -2*l - 59 = -m, 123035*l - 88 = 123039*l + 4*m for l. -27 Solve 3*s + s - 91*b = -94*b - 33, 502 = -56*s - 2*b for s. -9 Solve 125*i - 238*i + 115*i = -26*l - 21 - 31, -5*l - 10 = 3*i for i. 0 Solve y + 328 = 2*q + 353, -5*q = -y + 64 for q. -13 Solve 5*f = -3*z - 70, 110*f - 220*f = -z - 113*f - 22 for z. -25 Solve 7*i - 8*i - 8*z + 18 = -11*z, 5*i - 5*z = 30 for i. 0 Solve 0 = 15*y - 16*y + a - 20, -142 - 189 = 62*y - 180*y + a for y. 3 Solve -q - 148228*k = -148233*k - 8, 32 = 4*q + 5*k for q. 8 Solve 10*j - 5*j + 114 = -7*c, c - 2*j = -19 for c. -17 Solve -3*y = 0, -4*p + 107*y - 109*y - 8 = 76 for p. -21 Solve -69 = 16*a + 5*h - 103, 5*h - 52 = 2*a for a. -1 Solve -5*w = -3*p, -29172*w + 4*p + 0*p + 10 = -29167*w - 2*p + p for w. -3 Solve 13*j = 2*n - 341, -93 = 410*j - 406*j - 3*n for j. -27 Solve 1918058*v + 3*i = 1918057*v + 4, 2*i = 5*v - 3 for v. 1 Solve 6*c = 2*q - 0*q + 152, -5*c + 124 = -q for c. 24 Solve 5*h - w - 43 = 0, 105 = 276151*h - 276149*h + w + 113 for h. 5 Solve -4*s + 6*s - 378 = 12*r, -5*s + 445 - 275 = -5*r for s. 3 Solve 0*o - 2*o = 15*q - 16 - 4, -3*q = -2*o + 1712 - 1728 for o. -5 Solve -3*x = z - 8*x - 1, -35*z = -39*z - 2*x + 70 for z. 16 Solve 3213*n = 3212*n - 4*b - 9, -4*n = -4*b + 16 for n. -5 Solve -328 = 3*d - 4*g - 278, 51 = 2*d + 5*g for d. -2 Solve 23*y + 261 = -v + 6*v - v, -v + 3*v + 7 = -y for y. -11 Solve 4*a + 16*w + 52*w + 58*w + 12 = -12*w + 414, 9 = -2*a + w for a. -3 Solve 0*x - 3*x - w = 5, 3778321 = -4*w + 3778277 for x. 2 Solve -5*z = -5*k + 41 - 19 + 3, -20*k + 28 = -8*z - 18*k for z. -3 Solve -1164*a + 1165*a - 5*t = -35, -3*t = 3*a - 3 for a. -5 Solve 11*x + 11*t = -3*x + 3, -56 = -4*x - 3*t - 55 for x. 1 Solve -13*l - 14 + 3 = -14*l - 2*c, l = 63*c - 509 for l. -5 Solve 2*i + 114 = 4*b - 0*i, 4*b + 2*i - 187 = -93 for b. 26 Solve -610*t - 614*t = -1225*t + 4*i - 24, -147 = -35*t - i for t. 4 Solve 4*m + d = 40, -2*d + 29549 = -5*m + 29586 for m. 9 Solve -3*y - 2*s = -233 + 229, 32 = 3*y - 5*s for y. 4 Solve 2*k + 11 = -9*i, -5*k + 744*i - 749*i + 2 = 47 for k. -10 Solve 3*o - 2*u + 19 = 0, 234*u + 101 = -5*o - 220*u - 232*u + 672*u for o. -9 Solve -338 = 16*d + i, -2*i = -502*d + 505*d + 67 for d. -21 Solve 7 = 3*h - 0*h - q + 27, -490 = -98*q for h. -5 Solve -4*i + 201*y - 123*y - 18 = 79*y, -5*i - 2*y = 24 for i. -4 Solve x = -61*t + 63*t - 5, 0 = t + 5*x + 5 + 9 for t. 1 Solve 56*f - 123*f = -62*f - 110, -4*z - 5*z - 36*f = -380 - 448 for z. 4 Solve 429*c - 424*c = 3*d - 69, 9*d = 17*c + 201 for c. 3 Solve q - 8365*n + 30 = -8366*n, 0 = -3*q - 4*n - 123 for q. 3 Solve 2*p + 2*i + 35 = -i, -7*i - 7 = -33*p + 35*p - 8*i for p. -7 Solve -15 = 4*d + 3*u, 91*d + 0*u + 9*u - 8*u + 5 = 0 for d. 0 Solve -65*f = 6*j - 384 + 30, -2*j - 5*f = 2243 - 2261 for j. -6 Solve 0*h + w = -12*h + 3*w + 96, -273228*h + 45 = -273225*h - w for h. 1 Solve 4*h + 64 = -4*l, -1567*l = -1566*l - 10*h - 127 for l. -3 Solve 3*v - 3346 = o - 3344, 5*v + 58 + 8 = -7*o for v. -2 Solve 338 = 12*q + 5*j + 86, -2*q + 5*j + 42 = 0 for q. 21 Solve -3*h + 2930184 - 2930204 = 11*f, -5*f - 2*h - 4 = 0 for f. -4 Solve -3*x + 664*a - 670*a - 111 = 0, 0 = -5*a - 2 + 7 for x. -39 Solve 4*v + 77 = -d, -123194 = 4*d - 17*v - 123480 for d. -5 Solve 9*f - 10*f - 3 = -3*f + m, 100 = 6*f - 10*m for f. -5 Solve 0*t + 2*k - 197 = -5*t, t - 34*k + 29*k = 61 for t. 41 Solve -4*k = -k, -3*k - 2930 = 2*h - 2926 for h. -2 Solve -3*u - 12*o - 47 = -10*o, -4*u - 62 = 8*u - 9*u - o for u. -19 Solve 4*v - 9 - 42 = 43*b, 5*v - 5*b - 12 = -3*b for v. 2 Solve 4396*j = -5*x + 4397*j - 42, 5*x - x + 33 = j for x. -9 Solve 507*a - 103 = 4*f + 508*a - 120, 4*f - 2*a = 26 for f. 5 Solve -5*q - 30 = 5*h, -129*q + 3*h = -130*q - 1 - 7 for q. -5 Solve -4*n + 5*o + 5 = -55 - 11, 14*n - 26 = 3*o + 5 for n. -1 Solve -26*x + 6 = -30*x - 17*j + 19*j, 5*j = 25 for x. 1 Solve 0 = 6*w - 5*t + 67, -2*w - 5*t = -5*w - 69 - 7 for w. 3 Solve -g - 3*o - o = 45, 140*g + 148*g + 3*o = 284*g - 232 for g. -61 Solve 0 = 4*i + 1778*p - 1777*p + 102 - 6, 4*i - 4*p = 12 - 128 for i. -25 Solve -3*i - x - 22 = 0, -58*i + 3*i - 20 = -54*i + x for i. -1 Solve 5*t + 3 = 3*q + 2, -284*q + 2*t = -143*q - 144*q - 13 for q. -3 Solve 5*z + 67 = -4*p, 26*z - p + 0 + 65 = 0 for z. -3 Solve 200 = -57*s + 117*s - 65*s + 5*q, s + 3*q - 104 = 0 for s. -4 Solve 4*j - 5313*i + 5318*i - 61 = 0, 0 = 12*j + i - 113 for j. 9 Solve -5*o + o + 12*a + 148 = 0, -120 = -2*o - a - 130 for o. 1 Solve 4*t + 4554 = -5*o + 71*o, -156 + 49 = -t - 2*o + 31 for t. 0 Solve 25*n = 14*n + 13*n - 3*g - 0*g - 11, 2*n = -17*g - 89 for n. -2 Solve 0 = 4*r - 2*o + 40, -7766*r + 5*o - 37 = -7763*r for r. -9 Solve 2*m + 624460*n - 624465*n - 17 = 0, 3*m + n = 0 for m. 1 Solve -8*k - 4*k - 222 = -f + 294, -90*f + 98*f = -3*k - 129 for f. 0 Solve 0 = 4*q - s - 187, q - 48 = 1180*s - 1181*s for q. 47 Solve 49315*f - 2*b - 8 = 49311*f, -f - 16 = 4*b for f. 0 Solve 3*i - 129 = -0*i, -3*l - 5*i + 235 = -15*l - 113 + 85 for l. -4 Solve -4*f + 2*y + 16 = 0, -152*y + 298*y = 24*f + 145*y - 74 for f. 3 Solve -1 = -5*f - b, -19*f + 12*f - 2*b = -10*f - 2 for f. 0 Solve 86221*l - 86218*l + 3*v = -27, 4*l + 5*v - 31*v - 114 = 0 for l. -4 Solve 29939*x - 29935*x + 26 = u, 9*x = u - 51 for x. -5 Solve -5*h - 15 = -0*h + 3*q, 6678*h - 4*q + 25829 = -1838*h - 25287 for h. -6 Solve t + 626 = -182*z + 9903, 5*z - 184 - 126 = -34 - 21 for t. -5 Solve -3*c + 5*y - 85 = 72, -3*c + 43*y - 189 = 46*y for c. -59 Solve -5*h + 45 + 66 = -4*t, -3*t = -2*t + 5*t + h + 141 for t. -24 Solve 4*z = -3*w + 36, 21*z - 24*z + w = -30621 + 30633 for z. 0 Solve 2*a = -10*b + 36, -3*a - 1135 = -7*b - 1101 for b. 4 Solve -12*q + 14*q + 3*g = 44, 14*g + 27 = 9*q - 226 for q. 25 Solve -115*j + 360 = -4*r - 58*j - 61*j, 74 = -5*r - j - 0*j for r. 4 Solve -5 - 7 = 5*t - 3*h - 6 - 0, -5*h = 37*t - 146 for t. 3 Solve -x - 34*n - 29*n + 3 + 5 = -64*n, -11*x = -n - 38 for x. 3 Solve 11*m - z = 22, -5*m - 284*z = -289*z + 88 + 2 for m. 4 Solve 14*d - 2146 = 4*k - 1692, -2*k = -2*d + 72 for k. -5 Solve 4*z + 3*d - 65 = 0, 5*z + 56300*d - 43 = 56309*d for z. 14 Solve 0 = -26*y - 2*z + 26, 13*y + 18*y + 3*z + 2*z = 36*y - 5 for y. 1 Solve 74972*k = 74971*k + 5*a + 27, 2*k + 2*a + 22 = 4 for k. -3 Solve -l - 10 = 2857*m - 2860*m, l = -5*m + 6 for m. 2 Solve -1331*g + 2666*g - 1339*g - 7*a - 10 = 0, -a = -7*g - 44 for g. -6 Solve 1173*k + 5*x - 21 = 1175*k, -18 = k + 5*x for k. -13 Solve 10*a + 22 = 21*t + 13*a -
{ "pile_set_name": "DM Mathematics" }
ound h to the nearest 10. 0 Let v = 15 + -21. Let x = v + 3.3. Let w = x - -16.5. Round w to 0 dps. 14 Let t = 147 - 147.158. Let s = t - 0.762. What is s rounded to 1 dp? -0.9 Let x(s) = -750*s + 55. Let c(t) = -125*t + 9. Let w = 7 - 1. Let i(r) = w*x(r) - 35*c(r). Let b be i(-7). What is b rounded to the nearest 100? 900 Let l = -12.3 - -0.3. Let d = 2 - l. Let w = -13.9999992 + d. Round w to six dps. 0.000001 Let u(g) = -g**3 - g**2 - 8500. Suppose 0*m - m + 3*j = -7, 2*m = -j. Let c be -4 - m/(4/(-16)). Let o be u(c). What is o rounded to the nearest one thousand? -9000 Let g(a) be the second derivative of -a**4/12 - 4*a**3/3 - 6*a**2 - a. Let z be g(-8). Let y be 2/z + 161/(-42). Round y to the nearest 10. 0 Let b = -1.87 - -10.57. Let l = 9 - b. Let n = 0.22 + l. Round n to 1 dp. 0.5 Let q = 772.83581 - 772.9. What is q rounded to two dps? -0.06 Suppose -5*m = d + 207005, 5*d + 4*m = 4*d - 207004. Round d to the nearest 10000. -210000 Let g = 125.994 - -0.006. Let t = g + -125.99999905. Round t to 7 dps. 0.000001 Let t = -158.00435 - -158. Round t to 4 decimal places. -0.0044 Let n = -1096 - 47. Let h = n + 1143.0509. Round h to two decimal places. 0.05 Let m = -45284.5 - -45305.8431. Let j = 21.3 - m. What is j rounded to 3 decimal places? -0.043 Let g = 645 - 645. Let r = 3443 - -6759. Suppose -3*n - r - 2098 = g. Round n to the nearest one thousand. -4000 Let h = -572.923 + 605.6. Let k = h - 32.5. What is k rounded to 2 dps? 0.18 Let k = -277.275921 + 277.26. Round k to 3 dps. -0.016 Let a(r) = 13*r - 24. Let j be a(4). Let u be 1/4 + ((-4256091)/j - -3). What is u rounded to the nearest 10000? -150000 Let c = -4.4 + 4.78. Let u = c - -0.22. What is u rounded to one dp? 0.6 Let j be ((-36)/42)/((-4)/(-28)). Let t = 59 + j. Let a = -103 + t. Round a to the nearest one hundred. -100 Let x = -1343 - -1342.999999313. Round x to 7 dps. -0.0000007 Let x(s) = 1516*s**2 + 3*s + 37. Let y be x(-7). Round y to the nearest ten thousand. 70000 Let b = 952 + -949.888. Round b to the nearest integer. 2 Let w = -0.450818 + -15.546702. Let r = w + 16. Round r to 4 dps. 0.0025 Let v = 1161 - 1161.0937. What is v rounded to three decimal places? -0.094 Let h(d) be the first derivative of -85*d**3/3 + d**2 - 2*d + 2. Let v(r) = -r**3 - r**2 + 6*r + 1. Let m be v(-3). Let w be h(m). Round w to the nearest ten. -90 Let x = 1210 - 1185.64. Let i = -26.7 + x. What is i rounded to one dp? -2.3 Let g(f) = -13198*f**2 - 2*f. Suppose 0*z - 4 = -4*z. Let s be g(z). Round s to the nearest 1000. -13000 Let d = 25095.6817 + 179537025.3183. Let t = d + -179562120.15999943. Let r = -0.84 + t. What is r rounded to 7 decimal places? 0.0000006 Let p = 0.0781753 + -0.0782. Round p to 5 dps. -0.00002 Let c = 18.13186 - -0.02014. Let x = 52 - 34. Let s = x - c. Round s to 2 dps. -0.15 Let l = -1562.87 + 1553.2727. Let r = 9.65 + l. Let f = 29.0473 + r. What is f rounded to 0 dps? 29 Let b = -238 - -335. Let g = 96.914 - b. Let t = g + -7.514. Round t to the nearest integer. -8 Suppose 0 = -45*r - 7678632 - 6856368. Round r to the nearest 100000. -300000 Let q(l) = -l**3 + 3. Let v(h) = -2*h. Let g be v(0). Let x be q(g). Let j be (x - (-16 - -4))*-3000. What is j rounded to the nearest ten thousand? -50000 Let i = 72195.922 - 72119. Let v = i - 77. What is v rounded to 2 dps? -0.08 Let c(m) = m**3 + 9*m**2 - 2*m - 13. Let y be c(-9). Suppose y = -0*j + 5*j, 0 = -5*w + 5*j - 860005. What is w rounded to the nearest 10000? -170000 Let a(v) = -102347*v - 41. Let l be a(-3). Round l to the nearest one hundred thousand. 300000 Let c = 29.65 - 0.65. Let v = c + -29.00011. Round v to four dps. -0.0001 Let r(s) = -s**3 + 7*s**2 - 7*s + 8. Let c be r(6). Let p = 2 - c. Suppose -14 = -2*i - p. What is i rounded to 0 dps? 7 Let c = 2128728 - 4668728. What is c rounded to the nearest one million? -3000000 Let d = -10.7979 + 0.0479. Round d to the nearest integer. -11 Let n = 4 - -5. Let w = 2.62688 + 6.374. Let f = w - n. Round f to 4 dps. 0.0009 Let d = -17616 - -17419.66. Let u = d - -193. What is u rounded to one decimal place? -3.3 Let j = -0.027 + -1.373. What is j rounded to the nearest 10? 0 Let f = 341430483 - 341430497.3000071. Let h = 14.147 - -0.153. Let d = h + f. Round d to six decimal places. -0.000007 Let k = 0.96534 + -0.2646. Let h = 0.7 - 1.4. Let i = h + k. What is i rounded to 4 decimal places? 0.0007 Suppose -46001 = 2*q + c, -q + 4*c + 6769 - 29765 = 0. What is q rounded to the nearest ten thousand? -20000 Let b = -1561.0001153 + 1561. What is b rounded to five dps? -0.00012 Let v = -3192.006623 - -3192. What is v rounded to 4 dps? -0.0066 Let u = -1.14 - 125.86. Let c = u + 127.00225. Round c to 4 dps. 0.0023 Suppose 15*v + 9 = 18*v. Suppose -3*r - v*a = 2100015, 4*a - 275706 - 424274 = r. Round r to the nearest 100000. -700000 Let o = -134 + 220. Let q = -85.989 + o. Round q to two dps. 0.01 Let t(k) = 3999*k**2 - 6*k - 26. Let y be t(8). Let a = -1384138 - y. Round a to the nearest 1000000. -2000000 Let c = -532297.0043 - -532236. Let u = -61 - c. Round u to three decimal places. 0.004 Let a = 162.91 - 163. Let y = 41.9184 + -42.0084044. Let s = a - y. What is s rounded to 6 decimal places? 0.000004 Let x(f) = 2*f**3 + f**2 + 14*f + 16. Let b be x(-8). Round b to the nearest 10. -1060 Suppose 27 = 3*y - 12. Let h be 56/(-196) - y*(-38)/14. Round h to the nearest ten. 40 Let f = -68 + 68.476. Let r = f + -0.4759747. What is r rounded to five decimal places? 0.00003 Suppose 0 = -2*x + 25 + 95. Round x to the nearest one hundred. 100 Let v = -391 - -388.73. Let f = 3.22301 + -5.4942. Let a = f - v. Round a to 4 dps. -0.0012 Let b = 258.8 + -229. What is b rounded to 0 decimal places? 30 Let c(k) = -k**3 - 4*k**2 - 3*k + 2. Let w be c(-4). Suppose -w*b = -10*b - 4000. Round b to the nearest ten thousand. 0 Let z be (42/8)/(2/1083832). Let q(v) = -1003764*v**2 - v - 5. Let j be q(-2). Let l = j + z. What is l rounded to the nearest 100000? -1200000 Let n = -391.1 + 397. Round n to 0 decimal places. 6 Suppose 0 = 3*c - 5*c + 4. Let z(h) = 4*h**3 + 2*h**2 + h**2 - 2*h**2 - 14 + h - c*h**3. Let y be z(6). What is y rounded to the nearest 100? 500 Let u = -0.870038 + 0.87. Round u to 5 dps. -0.00004 Let g = -954.9091 + 955. Round g to three decimal places. 0.091 Let h = 86175.0500026 + -86175. Let u = h + -0.05. What is u rounded to 6 dps? 0.000003 Let o = 150.7 + -178.71. Let b = o - -28. Let g = b - 0.37. What is g rounded to 1 decimal place? -0.4 Let u = -1737.4935 + 1733. Let d = u - -4.5. Round d to 3 dps. 0.007 Suppose 17*u - 8358000 = 11*u. What is u rounded to the nearest one hundred thousand? 1400000 Let v(l) be the second derivative of l**5/20 - l**4/12 - l**3/6 + 4900*l**2 - 4*l. Let f be v(0). What is f rounded to the nearest 1000? 10000 Let g = -16061801 + 16061790.999983. Let y = g - -10. What is y rounded to 5 dps? -0.00002 Suppose -4*a - a = -2300740. Let r = -2486730 + 1106878. Let s = r - a. What is s rounded to the nearest 100000? -1800000 Let r = 99 + -99.51. Let p = -1300.19 - -1306. Let w = p + r. Round w to 0 dps. 5 Let a = 154 + -152.38. Let l = -2 + a. Round l to 1 decimal place. -0.4 Let c = 1235 + 811. What is c rounded to the nearest 1000? 2000 Let h = -4163252662 - -4163252560.00000073. Let t = -1 - 101. Let m = h - t. What is m rounded to 7 dps? 0.0000007 Let u = 0.009 + 375.991. Let v = 378.43 - u. What is v rounded to one dp? 2.4 Let u = -3819 - -3818.98337. Round u to 3 dps. -0.017 Let l = -14946.000006149 + 14946. What is l rounded to six dps? -0.000006 Let l = -6537126597962891.76999769 + 6537133173415026.67. Let r = l - 6575452104. Let g = -30.9 + r. Round g to seven dps. 0.0000023 Let r = -2427.999998173 - -2428. Round r to 7 dps. 0.0000018 Suppose 28*k - 590189829 = 115410171. Let r = -4 + 7. Suppose r*t = t + k. What is t rounded to the nearest one million? 13000000 Let f = 7353 + -7353.013044. What is f rounded to 4 dps? -0.013 Let t = -2.159 - -2.160079. What is t rounded to three decimal places? 0.001 Let x = 46.971 - -0.029. Let f = x - 47.038. Round f to two decimal places. -0.04 Let b = 1.44516 - 91.32216. Let r = 90 + b. What is r rounded to one decimal place? 0.1 Let v = -1290.003398 + 1290. Round v to four decimal
{ "pile_set_name": "DM Mathematics" }
, -5*j + 4 = -v*c for c. 3 Let h(p) = -p**3 + 33*p**2 - 31*p - 108. Let s be h(32). Let d be (-1 + 21)*(s/8)/(-19). Solve d = 5*u, 4*m - 4 + 6 = -3*u for m. -2 Let x = 15384 + -15379. Solve 5*d - 6*d - 5 = 5*t, -x*t + 10 = 4*d for d. 5 Let m = -89 + 101. Suppose -13*y = -m*y + 100. Let f = y - -103. Solve 0 = -w + 5*j - 10, 30 + 0 = f*w + 5*j for w. 5 Suppose 13*i - 110 + 45 = 0. Solve b + i = -2*q, 3*b = -q - 8 + 3 for b. -1 Suppose 100 = 4*t - 4*f, 0 = -3*t - 255*f + 259*f + 78. Solve 13 + t = 4*a + 5*z, z - 13 = -2*a for a. 5 Suppose 0 = -23*n - 13*n - 9*n + 675. Solve 6*y - 8*y = 5*r - n, 0 = -3*y - 15 for r. 5 Let j(l) = 8*l + 55. Let m be j(-8). Let d = m - -9. Suppose d = -15*n + 36 + 24. Solve -3*i + n*i - 4*h = -16, 3*i - h + 4 = 0 for i. 0 Let w be (-2)/((-8)/28)*12/7. Suppose w*k - 5*k = 35. Suppose v + q = -2*q + 17, 0 = -3*q + 15. Solve 35 = 5*m + k*n, 0*n - v*n = -3*m - 4 for m. 2 Let w be 35 + ((-6)/(-36) - 19/6). Suppose 20*q - w = 12*q. Solve 8 = -3*n + q*j, 0*n + 4 = -n + 2*j for n. 0 Suppose -2*w - 5 + 17 = 0. Suppose -x = -h - 1 + w, 4*h = -x + 10. Suppose h*y = 3*j + 42, -3*y + 2*j = -29 - 13. Solve -g = -f - 3 - 0, 3*g - y = -2*f for g. 4 Let q be 50/(-210)*-7 + (-8)/(-6). Solve 0 = m + q, -4*u + 3*m + 11 = 2*m for u. 2 Suppose -237 + 0 = 5*o + a, -o - 39 = 3*a. Let u = 48 + o. Suppose u = -4*i + 6 + 10. Solve -3 = 4*f + 13, i*m + 8 = -5*f for m. 3 Suppose 0 = -3*b - 4*d + 304 + 190, 2*b = 2*d + 334. Let o = b - 162. Solve q - o = -0*r - 2*r, -7 = -r - 3*q for r. 1 Suppose -3*s - 18 = 6*t - 3*t, -2 = -3*s + 2*t. Let j be ((0/s)/(-1))/2. Solve -7*p + 6 = 2*h - 2*p, j = 5*p - 10 for h. -2 Let k = 2398 + -2394. Let r(t) = t**3 - 3*t**2 - 3*t + 1. Let o be r(4). Solve -m - k = -x - 0*m, 3*x + o*m = -4 for x. 2 Suppose -10*n = -5*n - 10. Suppose 5*k - 12 = 2*t, -k + 5*k - n*t = 8. Suppose 3*s - 11 = k. Solve 3*w + d + 8 = 0, -w - s*d - 17 - 9 = 0 for w. -1 Let i = -16282 - -16306. Solve 3*u - i = 3*g, 5*g - 9*u = -7*u - 31 for g. -5 Let v(s) = s**2 - 2*s - 2. Let i be v(-1). Let f be (-2)/(-5)*i - (-6)/10. Let b be (-3 - 24/(-3))/f. Solve 0 = 4*c + 3*y - 11, 3*c + b*y - 3*y = 9 for c. 5 Let s(j) = -j**3 - 30*j**2 + 617*j + 48. Let r be s(-44). Solve -2*n - r*c + 90 = 100, 4*c = 2*n - 6 for n. -1 Suppose -3*z - 19*q + 18*q - 3 = 0, -3*z + q = 9. Let w be z/19 - 3744/(-912). Solve -3*i = v - 2*i - w, 0 = -2*i + 4 for v. 2 Let u(c) = -c**2 + 8*c - 3. Let j be u(4). Suppose 6*x = 2*x - 4. Let l be (-12)/(x - 2) + (-9 - -5). Solve k + 4*k - y = -j, 4*k + 4*y - 4 = l for k. -2 Suppose 38*o - 143 - 85 = 0. Suppose o*f - 190 = -4*f. Solve 2*y + 3*y - v = -9, 0 = 3*y - 4*v + f for y. -1 Let q(p) = p**3 - 25*p**2 - 605*p - 70. Let u be q(-15). Let d = 44 + -4. Suppose d = 3*a - 20. Solve 3*r + 5*w + 14 = 0, u*w = -0*w - a for r. 2 Let h(c) be the third derivative of -c**4/8 + 3*c**3 + 33*c**2. Let b be h(6). Solve b = -3*y - 3*k - 14 + 32, 4*y - 4*k = 8 for y. 4 Let l(z) = 9*z**3 - 2*z**2. Let q be l(2). Suppose q = -4*f - 4*f. Let k be f/(-24)*9/1. Solve k*x = -0*x - 3*u, -x - 5*u = 16 for x. 4 Let l(w) = w**3 + 5*w**2 - 11*w - 21. Let g be l(-6). Let z(o) = -36*o + 346. Let h be z(g). Solve 0 = -j + 2*t + 3, 5*j + 2*t - h = 5 for j. 5 Let d(a) = 3*a**3 - 2*a**2 - 12*a - 5. Let v be d(3). Suppose -29*b + v*b = -21. Solve b = -t, -f - t - t - 1 = 0 for f. 5 Let z be (-28)/8*(-32)/28. Suppose -4*x + 22 + 8 = -3*y, 4*x = -z*y + 44. Suppose 4*a = -1 + x. Solve -i + 3 = -c + a, -21 = -i - 4*c for i. 5 Let c(x) = 7*x + 32. Let t be c(-14). Let f = -35 - t. Suppose -o = 2*h, -2*h + 0*o = 4*o + 12. Solve 3*s + h*s - 2*w = -f, 3*w + 11 = -4*s for s. -5 Let k(x) = -111*x - 4881. Let y be k(-44). Solve -2*u = 17*m - 7*m - 30, 0 = y*m + 5*u + 13 for m. 4 Suppose -2*d = -3*t + 8, -t - 181 = 5*d - 195. Solve 5*k = -3*a + 2, -t*a + 7*a - 14 = k for a. 4 Let o be 5/1*1 - (-72 + -15 - -51). Solve z + o = -x + 32, -41 = 4*z + 5*x for z. -4 Let o be -6*((-52)/(-12) - 4). Let k be 23/o*2*-1. Let g = k + -19. Solve 4*f = g*l, -4*l = 3*f - 0*f - 21 for f. 3 Let n be (7 + 180/(-28))*42. Suppose -w = 5*r - n, 9*w - 3*r - 8 = 4*w. Solve 0 = 3*u - 2*d + w, -u = -3*d - 1 - 0 for u. -2 Let s be 8 + -1 - (15 + -4). Let j be (-10)/(10/s - 0). Solve -j*z + 2*x = -2*x - 28, x = -z - 1 for z. 3 Suppose 867*u - 4317*u - 187*u = -36370. Let s(c) = -2*c**3 + c**2 - 1. Let d be s(-1). Solve -3*b - y = 10, d*b + 2*y + 2*y = u for b. -5 Let a(z) = 2*z**2 - z - 26. Let h be a(4). Solve -19*u + 1 = -y - 15*u, 0 = -3*y + h*u + 7 for y. 3 Suppose 15*u = 19*u + 33*u. Solve 5*r - 5*z = -35, u = 2*r + r + 4*z for r. -4 Let n be (116/464)/(2/(-4))*(-20)/2. Let l be (-3)/(1/4*-3). Solve -4*g = n*h + 11, 7*h - 2*g = l*h - 11 for h. -3 Let q(x) = -3*x + 53. Let b be q(16). Suppose 0 = b*y + 14 - 19. Let h be 23/(-4)*(-3 - y). Solve -2*w - 1 = -3*c, 5*c + 2*w - h = -0*w for c. 3 Let u = 18021 - 17989. Solve 0 = 7*c - 3*n + u, -c - 1 = -41*n + 37*n for c. -5 Let h = -389 - -396. Suppose 12*i - h*i + 17 = -v, -7 = -5*v - 2*i. Solve 2*d + 1 = v*d, -3*d - 17 = -5*k for k. 4 Let h = 8812 - 8793. Suppose -4*d + 79 = 5*q, -90 = -3*q + 2*d - 25. Let b = q - h. Solve -2*p + 18 = m - 6*m, p + 2*m = b for p. 4 Let n(l) = 5 + 0 + l - 3*l. Let w(c) = -c**3 - 3*c**2 + 6*c + 18. Let z be w(-3). Let b be n(z). Solve 5*f = 4*x - 10 - 3, -b*x = -10 for f. -1 Suppose 2*w - 36 = -5*m, -2*m + 69 = 3*w + 70. Solve f = 8*y - m*y - 2, 3*y + 4*f + 8 = 0 for y. 0 Let q(o) = o**3 - 38*o**2 + 195*o - 96. Let w be q(32). Let u(k) = k**3 + 8*k**2 + 3. Let c be u(-8). Solve -n = c*r + n - 11, w = -5*r + n + 27 for r. 5 Let h(b) = -11*b**2 + 3*b + 8. Let i(y) = -24*y**2 + 5*y + 15. Let l(o) = -13*h(o) + 6*i(o). Let g be l(-7). Solve g*j + 5 = -4*j + 5*n, -5*n = 5*j - 5 for j. 0 Suppose z - 4*r - 15*r = -17, 0 = -z + 2*r. Solve 0 = -3*m + 2*g + 10, -z*g = 2*m - 0 - 10 for m. 4 Let s = 37 - 35. Let t be 20/90*9 - (1 - 1). Solve s*n = -t, -1 = 4*o + 4*n - 5 for o. 2 Suppose 0 = 3*g + 3*k + 6, -5*k - 5 = 3*g + 9. Let a(m) = -3689*m - 33196. Let o be a(-9). Solve 0 = o*f + 4*w - 1, f = 4*f - g*w + 17 for f. -3 Suppose -4 = o - 2, -219 = -n + 3*o. Let m = n + -125. Suppose 0 = m*j - 82*j. Solve -4*q + s + 1 = j, -6*s + 2*s = 5*q - 17 for q. 1 Let g = 215 - 178. Let d = 42 - g. Solve -5*h = d*u - 4*h + 6, 3*u - 2 = 5*h for u. -1 Suppose -8*w + 4*w - 3*m + 977 = 0, -5*m = 2*w - 499. Let l = w + -238. Solve -b - t = -5*b + 20, -4*b - 5*t - l = 0 for b. 4 Let x be -1 - (-7)/(70/40). Solve -x*v = 5*k + 35, k + 41 = -v + 32 for k. -4 Let h(k) = -47*k**2 + 57*k - 7. Let p be h(1). Solve -4*u = -p*w + 26, -2*w + 5*u = 10*u + 21 for w. 2 Suppose 5*r = -4*k + 110, -2*k + 5*r + 294 - 284 = 0. Solve 2*q = k*n - 22*n + 4, -3*n + q + 14 = 0 for n. 4 Let i(j) = j**2 + 7*j - 13. Let f be i(-9). Let b = -134 - -162. Suppose 53 - b = f*c. Solve 0*k + 4*k = -5*z + 9, 5*z + 5*k = c for z. 5 Let x = 10625 - 10610. Solve 0 = -5*k - 2*u - 10, -u - x = 9*k - 4*k for k. -4 Let f(i) = -i**3 - 47*i**2 + 150*i + 2. Let p be f(-50). Solve p*j - 10 = -3*d + j, 4*d + 2*j = 14 for d. 3 Suppose -1108*s = -1113*s - 5*w + 120, -5*w = 3*s - 82. Solve 5*l = -i - s, 5*l + 4*i + 15 = -16 for l. -3 Suppose 0 = -3*a - 15*a - 270. Let q be -10*a/25 + 3. Solve 5*w = 2*o + 2*o + 1, 4*w = -5*o + q for w. 1 Let g = 1194 - 1186. Solve -3*o + 2*d = -15 + g, -3*d = -5*o + 12 for o. 3 Let v = -294 + 309. Let p be (v*(-2)/(-12))/(1/2). Solve -5*j = -3*h + 34, -p*j - 26 + 1 = 0 for h. 3 Let y(f) = 6*f**2 + 11*f - 12. Let b be y(1). Solve -k = -j + 2 + 1, 2*j + b*k - 6 = 0 for j. 3 Suppose -19*y + 10*y = -81. Suppose 5*p - 15 = -0*p + 5*z, 0 = 2*p + z - y. Solve 3*f = p*t - 21, -5*f + 2*t - 6*t = 3 for f. -3 Let a(p) = 35*p + 2369. Let m be a(-67). Solve -5*r = 4*w - m, -2*w + 7 - 9 = -r for w. 1 Let b be (4/(-6))/(4/(-18)). Suppose -4*t - 218 = 78. Let i = t + 96. Solve -4*o - i = -3*x - 7, 3*x = b for o. -3 Suppose 0 = d - 3*b + 62 - 45, d = 2*b - 11. Let h be 7 + ((-2)/(-1))/2. Solve 5*f - h = 4*o, -4*o - 7 = -2*f + d for f. 0 Let z(w) = w + 16. Let o be z(-10). Let x(a) = a**2 + 8*a + 4. Let f be x(-6). Let r be 12/4 - (-9 - f). Solve 3*n + 4*d + o = 0, d - 7 = n + r*d for n. 2 Suppose -13*h = -30 - 35. Suppose h*r + 326 = 2*z, r + 38 = -2*z - 32. Let m = r - -68. S
{ "pile_set_name": "DM Mathematics" }
6? -1640*v**2 - 2*v - 30056 What is the b'th term of -7098, -7601, -8104, -8607? -503*b - 6595 What is the m'th term of -98783, -197434, -296085? -98651*m - 132 What is the u'th term of -50565, -101668, -153303, -205464, -258145, -311340, -365043, -419248? u**3 - 272*u**2 - 50294*u What is the u'th term of 1790155, 1790148, 1790137, 1790122? -2*u**2 - u + 1790158 What is the g'th term of 19605, 19515, 19367, 19161, 18897? -29*g**2 - 3*g + 19637 What is the r'th term of -3254, -6404, -9462, -12428, -15302? 46*r**2 - 3288*r - 12 What is the q'th term of -4258676, -8517350, -12776024? -4258674*q - 2 What is the w'th term of 139127, 556411, 1251885, 2225549, 3477403, 5007447? 139095*w**2 - w + 33 What is the i'th term of 822120, 822149, 822178, 822207, 822236? 29*i + 822091 What is the w'th term of -4471471, -4471474, -4471475, -4471474, -4471471, -4471466, -4471459? w**2 - 6*w - 4471466 What is the x'th term of 3592, 5062, 6544, 8038, 9544, 11062? 6*x**2 + 1452*x + 2134 What is the c'th term of -498677, -997412, -1496147? -498735*c + 58 What is the z'th term of 23126, 22795, 22474, 22169, 21886, 21631? z**3 - z**2 - 335*z + 23461 What is the v'th term of -2101, -7465, -12829, -18193, -23557? -5364*v + 3263 What is the x'th term of 6397, 16726, 27055, 37384, 47713, 58042? 10329*x - 3932 What is the p'th term of 2236, 8977, 20252, 36091, 56524, 81581? 5*p**3 + 2237*p**2 - 5*p - 1 What is the p'th term of 64125, 128362, 192715, 257184? 58*p**2 + 64063*p + 4 What is the k'th term of -1505981, -3011963, -4517945, -6023927, -7529909, -9035891? -1505982*k + 1 What is the s'th term of -664084, -1329121, -1994158, -2659195, -3324232? -665037*s + 953 What is the x'th term of 20832, 41834, 62836? 21002*x - 170 What is the b'th term of 47546, 380259, 1283322, 3041909, 5941194? 47529*b**3 + b**2 + 7*b + 9 What is the m'th term of -1745, -1859, -1971, -2081, -2189, -2295, -2399? m**2 - 117*m - 1629 What is the k'th term of -194120, -193405, -192690, -191975, -191260, -190545? 715*k - 194835 What is the m'th term of 81, 182, 341, 558, 833, 1166, 1557? 29*m**2 + 14*m + 38 What is the w'th term of 8464, 33937, 76408, 135877, 212344, 305809? 8499*w**2 - 24*w - 11 What is the h'th term of 25807354, 25807352, 25807350, 25807348, 25807346? -2*h + 25807356 What is the i'th term of -50316281, -50316268, -50316247, -50316218, -50316181, -50316136? 4*i**2 + i - 50316286 What is the n'th term of 7353, 30280, 68445, 121854, 190513, 274428? n**3 + 7613*n**2 + 81*n - 342 What is the h'th term of -4947, -7675, -12215, -18561, -26707, -36647, -48375, -61885? h**3 - 912*h**2 + h - 4037 What is the p'th term of 31066, 30993, 30798, 30421, 29802, 28881, 27598? -10*p**3 - p**2 + 31077 What is the j'th term of -7120, -11165, -17920, -27385, -39560, -54445? -1355*j**2 + 20*j - 5785 What is the z'th term of 12909700, 12909699, 12909698, 12909697, 12909696, 12909695? -z + 12909701 What is the n'th term of -2116268, -2116277, -2116286, -2116295, -2116304? -9*n - 2116259 What is the r'th term of -8511727, -17023450, -25535171, -34046890, -42558607, -51070322? r**2 - 8511726*r - 2 What is the v'th term of -1332, -587, 158, 903, 1648? 745*v - 2077 What is the p'th term of 412709, 413317, 413925, 414533, 415141? 608*p + 412101 What is the c'th term of 1636406, 3272823, 4909242, 6545663, 8182086? c**2 + 1636414*c - 9 What is the o'th term of 11769, 11327, 10895, 10479, 10085? o**3 - o**2 - 446*o + 12215 What is the f'th term of 78575, 157510, 236445? 78935*f - 360 What is the j'th term of -31015885, -31015887, -31015889, -31015891, -31015893, -31015895? -2*j - 31015883 What is the u'th term of 1490, 3723, 6638, 10235? 341*u**2 + 1210*u - 61 What is the y'th term of -1121, -4513, -10179, -18131, -28381, -40941, -55823? -2*y**3 - 1125*y**2 - 3*y + 9 What is the w'th term of 39954, 159770, 359460, 639024? 39937*w**2 + 5*w + 12 What is the q'th term of -12774, -25539, -38300, -51057? 2*q**2 - 12771*q - 5 What is the z'th term of -1704, -7176, -16436, -29490, -46344, -67004? -z**3 - 1888*z**2 + 199*z - 14 What is the o'th term of 582913, 581988, 581063, 580138, 579213? -925*o + 583838 What is the x'th term of 29766, 29767, 29768? x + 29765 What is the u'th term of 269512, 1078045, 2425600, 4312177, 6737776? 269511*u**2 + 1 What is the b'th term of -1914577, -1914546, -1914515, -1914484, -1914453, -1914422? 31*b - 1914608 What is the t'th term of -557, -435, -303, -155, 15, 213, 445? t**3 - t**2 + 118*t - 675 What is the f'th term of -813565, -1626830, -2440095? -813265*f - 300 What is the y'th term of 2083, 2577, 3061, 3529, 3975, 4393, 4777, 5121? -y**3 + y**2 + 498*y + 1585 What is the p'th term of 385181, 1540671, 3466429, 6162407, 9628557, 13864831? -8*p**3 + 385182*p**2 + 7 What is the x'th term of -201115, -402096, -603077, -804058, -1005039? -200981*x - 134 What is the i'th term of -27704, -55520, -83376, -111272? -20*i**2 - 27756*i + 72 What is the z'th term of 15100, 30914, 46728, 62542, 78356? 15814*z - 714 What is the s'th term of -21428, -21444, -21450, -21446, -21432? 5*s**2 - 31*s - 21402 What is the u'th term of -938, -1862, -2764, -3644, -4502, -5338? 11*u**2 - 957*u + 8 What is the p'th term of -13981, -54719, -122215, -216469? -13379*p**2 - 601*p - 1 What is the o'th term of 109575, 224047, 338521, 452997, 567475, 681955? o**2 + 114469*o - 4895 What is the o'th term of -1726, -6790, -15196, -26944, -42034? -1671*o**2 - 51*o - 4 What is the s'th term of -3360660, -13442637, -30245932, -53770545? -3360659*s**2 - 1 What is the f'th term of 503042, 502970, 502784, 502430, 501854, 501002, 499820? -9*f**3 - 3*f**2 + 503054 What is the w'th term of 91101, 91120, 91123, 91104, 91057, 90976, 90855, 90688? -w**3 - 2*w**2 + 32*w + 91072 What is the w'th term of 39, 789, 1995, 3657, 5775, 8349? 228*w**2 + 66*w - 255 What is the o'th term of -3550, -7111, -10494, -13609, -16366? 15*o**3 - o**2 - 3663*o + 99 What is the o'th term of -21345, -85400, -192159, -341622? -21352*o**2 + o + 6 What is the g'th term of 3103355, 3103302, 3103249? -53*g + 3103408 What is the h'th term of -2206416, -2206413, -2206410, -2206407? 3*h - 2206419 What is the h'th term of -2320, -3836, -6364, -9910, -14480, -20080? -h**3 - 500*h**2 - 9*h - 1810 What is the j'th term of -278, -876, -1498, -2156, -2862, -3628, -4466? -2*j**3 - 584*j + 308 What is the b'th term of -5070, -40391, -136198, -322725, -630206, -1088875, -1728966, -2580713? -5039*b**3 - 9*b**2 - 21*b - 1 What is the s'th term of 2419, 1328, -487, -3026, -6289, -10276, -14987? -362*s**2 - 5*s + 2786 What is the v'th term of -550744, -550732, -550704, -550654, -550576, -550464, -550312? v**3 + 2*v**2 - v - 550746 What is the j'th term of -2101, -4724, -8393, -13630, -20957, -30896? -87*j**3 - j**2 - 2011*j - 2 What is the f'th term of -4565, -9091, -13683, -18377, -23209? -6*f**3 + 3*f**2 - 4493*f - 69 What is the a'th term of -4242, -17103, -38624, -68805, -107646, -155147? -4330*a**2 + 129*a - 41 What is the t'th term of -6659112, -6659072, -6659032, -6658992, -6658952? 40*t - 6659152 What is the v'th term of 3884, 3827, 3674, 3419, 3056, 2579, 1982? -v**3 - 42*v**2 + 76*v + 3851 What is the v'th term of -577294957, -577294958, -577294959, -577294960, -577294961? -v - 577294956 What is the z'th term of -62537, -62580, -62653, -62756? -15*z**2 + 2*z - 62524 What is the u'th term of 6664734, 13329469, 19994204? 6664735*u - 1 What is the n'th term of -52335006, -52335007, -52335008, -52335009, -52335010? -n - 52335005 What is the j'th term of -18786, -150487, -507982, -1204167, -2351938, -4064191? -18816*j**3 - j**2 + 14*j + 17 What is the u'th term of -1499, -3302, -5735, -8804, -12515, -16874, -21887? -u**3 - 309*u**2 - 869*u - 320 What is the a'th term of 11532080, 23064165, 34596254, 46128347, 57660444, 69192545, 80724650? 2*a**2 + 11532079*a - 1 What is the r'th term of -34510, -68603, -102700, -136801, -170906, -205015, -239128? -2*r**2 - 34087*r - 421 What is the s'th term of 7392, 14791, 22178, 29547, 36892, 44207, 51486? -s**3 + 7406*s - 13 What is the u'th term of 2019, 15101, 50565, 119601, 233399, 403149, 640041, 955265? 1865*u**3 + u**2 + 24*u + 129 What is the q'th term of 15486, 30919, 46346, 61767, 77182, 92591? -3*q**2 + 15442*q + 4
{ "pile_set_name": "DM Mathematics" }
-7007 + 126089/18. Find the common denominator of a and (-2)/4 - 258/(-40). 180 Suppose 4*y - 3*h + 13009 = 0, h + 3*h - 6512 = 2*y. Let l = 26055/8 + y. What is the common denominator of l and 79/8? 8 Suppose 0 = 10*s - 9 - 31. Calculate the common denominator of 86/(-16) - (1 - -1) and -4 - (440/(-28) + s). 56 Let q = 77013/110 - 700. Calculate the common denominator of q and -25/6. 330 Let f = -17653300887/425419880 - 3/3247480. Let k = f + -1/262. What is the common denominator of k and ((-3)/15)/(4/(-530))? 2 Suppose m = 2*j + 1 - 0, 0 = -m - j + 4. Let h(u) = -u**3 + 4*u**2 + 2*u - 7. Let z be h(m). What is the smallest common multiple of 8 and (-8)/32 - (-42)/z? 40 Let j = 435 + -419. Calculate the least common multiple of 16 and j. 16 Let f be ((4 - 0) + 24)*3/4. Suppose -12*z = -f*z + 72. What is the smallest common multiple of 24 and z? 24 Let i(u) = -99*u**3 - u**2 + u + 1. Let s be i(-1). Calculate the common denominator of (-826)/s*(-1 - 0) and 12/13. 91 Let m = -68019/10 - -6791. Calculate the common denominator of m and 62/6*3/(-7). 70 Let r = 55/326 + -117143/163. Let i = r + 7885/11. Calculate the common denominator of i and (-1240)/1008 + (6/(-21))/(-1). 198 Suppose 4 = u - 4. Suppose 0 = 36*a - 39*a + 6. Suppose 6*q - 32 = a*q. Calculate the smallest common multiple of q and u. 8 Let f = 464 + -308. Suppose 4*r - 34 = 38. Calculate the smallest common multiple of r and f/7 - ((-20)/(-35))/2. 198 Let z = 30 + -27. What is the smallest common multiple of z and 4? 12 Suppose 2*a - 4*t = 22, -5*a = t - 4*t - 34. Calculate the smallest common multiple of a and 16. 80 Let k(h) = -h**3 + 11*h**2 + 9. Let w(f) = 2*f - 5. What is the smallest common multiple of k(11) and w(8)? 99 Suppose 0 = -7*v + 19 + 2. Calculate the lowest common multiple of 11 and v. 33 Let z(g) = -6*g**3 + 3*g**2 - 7*g + 2. Let k be z(-7). Let u = k - 17975/8. Calculate the common denominator of 145/12 and u. 24 Let d(k) = 85*k - 5. Let g be d(-2). What is the common denominator of g/40 - (0/1)/(-1) and 17/58? 232 Let q = -1764 + 2028. Calculate the lowest common multiple of q and 121. 2904 Suppose 5*t + 3 = -3*l + 36, 2*l - 3 = 3*t. Let c(o) = -19*o - 182. Calculate the lowest common multiple of c(-11) and l. 54 Suppose i - 60 = -3*i - 4*t, 2*i - 31 = -t. Suppose -5*u - 2*a = 3*a + 10, 0 = 4*a - i. Find the common denominator of 139/6 and 0 + (-99)/84*u. 42 Let m(t) = t**3 - 2*t**2 + 2*t + 72. What is the lowest common multiple of m(0) and 81? 648 What is the common denominator of (54 - 65) + (-317)/(-33) and 1/21? 231 Let v = -292 - -296. What is the lowest common multiple of 14 and v? 28 Let u(o) = -o + 33. What is the lowest common multiple of u(-49) and 66? 2706 Suppose 0 = -a + 1 + 16. Let f(y) = -y**3 + 17*y**2 + y - 6. What is the least common multiple of (-4)/(-20) - 49/(-5) and f(a)? 110 Let r = 265/234 + 70/117. Find the common denominator of 99/14 and r. 182 Suppose 0 = 3*s + 1 - 4. Let y = -1107/2 + 577. Calculate the common denominator of y and s/(-3) + 84/(-27). 18 Let x = 100 + -96. Suppose x*t + f - 2 = 3, 2*f - 2 = 0. What is the least common multiple of 8 and t? 8 Let o = 62061807/76 - 816590. Let n = 142/19 - o. Find the common denominator of 127/6 and n. 12 Suppose 2*h = -2*x + 50, 0*h - 2*h + 108 = 4*x. Let q = -1 - 1. Find the common denominator of -3 + (q - x/12) and -9/10. 60 Suppose -4*y + g + 41 = 0, -y + g + 9 = 2*g. What is the smallest common multiple of y and 108? 540 Suppose -3*v - 26 = 64. Let c = v - -42. Let x = -274 - -284. Calculate the lowest common multiple of c and x. 60 Let a = 128375/6 - 21394. Calculate the common denominator of a and -1 + -1 + (-14)/4. 6 Suppose 2*l = 4*r - 0*l - 14, -r = -5*l + 1. Find the common denominator of (897/182)/(r/7) and 12/(-25)*15/(-2). 40 Suppose -6*o - 232 = 116. Let m = 67 + o. What is the smallest common multiple of 27 and m? 27 Let t = -10459/48480 - -22/101. What is the common denominator of 91/20 and t? 480 Suppose 3*d - v = 4*d - 179, -d + 2*v = -182. Let h be (-11797)/d + (-1 - -1). Let s = h - -584/9. What is the common denominator of s and -23/8? 40 Let h = 8 - 2. Suppose -5*z - 8*a = -9*a - 100, 5*a - 4 = z. What is the smallest common multiple of h and z? 42 Let m = -209 + -223. Let z = 68830/11 + -6262. What is the common denominator of z and (-2)/(-15) - m/(-40)? 33 Let a = -14009 - -448247/32. What is the common denominator of a and 92/(-276) + 265/(-24)? 32 Suppose 2*h - 3*u + 1 = -3, 0 = 4*h - 4*u. Suppose -5*y - 5 = 0, h*v + 0*v - 3*y = 35. Calculate the lowest common multiple of ((-16)/v)/(-1*1) and 4. 4 Let f(n) = n - 6*n**2 + 6*n**2 + 5*n**2 - 5 - n**3. Let j be f(5). Find the common denominator of 0 - (164/(-28) - j) and 69/8. 56 Let i = 388 + -379. Calculate the smallest common multiple of 6 and i. 18 What is the lowest common multiple of ((-8)/6 + 1)/(7/(-567)) and 27? 27 Let s = 26 + -24. Let i = -4 + 12. Calculate the smallest common multiple of i and s. 8 Let n(x) = 5*x**2 + 14*x + 1. Let m = 47 - 28. Let d = m + -12. Calculate the least common multiple of n(-3) and d. 28 Let h = -82801/12 - -6912. Calculate the common denominator of h and 53/12. 12 Suppose -14*x = c + 50, -10 = -2*c - 2*x - 6. Calculate the least common multiple of 2/(-9) - 209/(-9) and c. 138 Let y be ((-28)/(-10) - 2)*-5. Let k = y - -7. Find the common denominator of (-14)/(-33) + 2/k and -3/8. 88 Let b(p) = p**2 - 2*p - 2*p - 7 - 2. Let z(q) = -q**2 - 6*q - 2. What is the lowest common multiple of b(7) and z(-4)? 12 Let k = 6653 + -93255/14. What is the common denominator of (-186)/8 - (-1)/1 and k? 28 Let t = 2542 - 1735. Calculate the least common multiple of t and 9. 2421 Let z = 17 + -7. Let h(t) = 2*t**2 + 6*t. Let y be h(-5). Let f = -10 + y. Calculate the least common multiple of f and z. 10 Suppose 0 = -0*o + o - a + 1753, -8757 = 5*o + 3*a. Let u be o/(-738)*10/16. Let t = u - -2/123. Find the common denominator of 36 and t. 2 Let d be ((-1)/((-4)/1468)*1)/(-1). Let q = d + 3647/10. Calculate the common denominator of -51/7 and q. 70 Let d(o) be the second derivative of 9*o**5/20 + o**2/2 + 34*o. What is the least common multiple of d(1) and 14? 70 Let b be (60/(-63))/(36/6). Let u = 152/63 - b. Find the common denominator of u and 25/4. 28 Let f = -22410 - -223839/10. Let a = -53/2 - f. Let p = 2/32003 - -4256375/384036. Find the common denominator of p and a. 60 Let p = -26441/6 + 4387. Let n = -46160363741/12177944010 + -150/1712791. Let z = n + 27/395. What is the common denominator of p and z? 18 Calculate the common denominator of -145/6 and (-38)/((-9728)/21 - (-92)/161). 2082 Suppose 3*f = 4*f - 8. Suppose -2*x = -f*x + 18. What is the smallest common multiple of 9 and x? 9 Let d = -45694267/362 - -126227. What is the common denominator of -7/18 and d? 3258 Let r(d) = d**2 + 2*d + 4. Let w be r(-2). Suppose -w*y + 5 = y. Calculate the lowest common multiple of y and 3. 3 Let v = -244 - -265. What is the least common multiple of 90 and v? 630 Let n be (-3)/5 + (-7942)/(-520). Let o = -1/588 - 52907/7644. Let g = n + o. What is the common denominator of 53/8 and g? 8 Let s = 446 - 439. What is the lowest common multiple of s and 21/(-14)*(-10)/3? 35 Suppose -8 = -4*y - 0, 26 = 2*f - y. Suppose -x - f = -3*x. Suppose x - 27 = -2*i. What is the lowest common multiple of 12 and i? 60 Let r = -41180661/253599974 - -2/407717. What is the common denominator of -55/16 and r? 4976 Let y be (-55684)/24 - (-1 + 3). Let g = y + 2328. Let c = -13/9 + 19/6. Find the common denominator of g and c. 18 Let n(q) = q**3 - 2*q**2. Let o(j) = j + 1. Let w(m) = n(m) - 4*o(m). What is the lowest common multiple of 12 and w(4)? 12 Suppose 10 = -17*q + 19*q. What is the least common multiple of q and 260? 260 What is the common denominator of (((-6)/(-3))/48)/(20/(-1390)) and 17/240? 240 Let c = 1243 + -14969/12. Calculate the common denominator of c and -73/162. 324 Let z = 47173655/316 - 149284. Calculate the common denominator of z and 91/16. 1264 What is the common denominator of (-2312)/(-192) + 4/(-6) and -115/12? 24 Calculate the common denominator of -87/2 and (-6)/5 - ((-356174)/27720 - -12). 396 Let d be 27/36 - (20943/4 - 2). Let t = d + 104637/20. Find the common denominator of 81/
{ "pile_set_name": "DM Mathematics" }
2, 5*x - 90 = 0 for d. -4 Solve 16 = 6*w + 3*c + 61, -3*w - w = -4*c for w. -5 Solve -2*g - 74 = -34 - 40, -c + 2*g = -3 for c. 3 Solve -36 = 3*v, 1259 = u - 45*v + 715 for u. 4 Solve -4*o + 58 = 3*j, 0 = 4*o - j - 94 + 28 for o. 16 Solve 255*k - 257*k - n = -18, 36 = -k + 4*n for k. 4 Solve 4*j + 393 = -2*o + 381, 0 = -2*j + 4*o + 14 for j. -1 Solve -2*m + 6 = -43*p + 42*p, 0 = 5*m - p - 12 for m. 2 Solve 9*c - 5*t = -3, -2*c - 3*t = 610 - 597 for c. -2 Solve -7 = 5*j + t, 140*j = 138*j + 2*t - 34 for j. -4 Solve -4765*v + 6 = -4770*v + 3*l, -8*v + 5*l = 11 for v. 3 Solve -17*o = -4*s - 26, 5*s = -5*o + 30 - 10 for o. 2 Solve 50*v + 0*u + 2*u - 8 = 52*v, -v = 3*u for v. -3 Solve 0 = -y + 4*m - 25, 0 = 46*y - 50*y - 3*m - 62 for y. -17 Solve 12 = d - 2*n, 39*n = 37*n - 8 for d. 4 Solve 3*y = -3*v + 3, -15*y + 12*y - 4*v + 3 = 0 for y. 1 Solve 8 = u + 3*r + 4, 0 = -u + 8*r - 18 for u. -2 Solve 0 = 5*o - 9*r + 59, 4*r - 39 = 5*o + 40 for o. -19 Solve 0 = -3*c + 4*m - 31, 4*c + m - 488 = -485 for c. -1 Solve 61*h + 12 = 66*h + n, -2*n = -5*h + 21 for h. 3 Solve 5*u + 36 = 6*u + 16, 85 = t + 4*u for t. 5 Solve 0 = -5*l - 2*q + 11, 4*l + 411*q - 16 = 413*q for l. 3 Solve -q - 20 = 2*o, 44*o - 4*q = 40*o + 32 for o. -4 Solve -14 = 2*k - 5*m, 2*k = -4*m - 34 + 38 for k. -2 Solve 4*f + 3*i = -23, -4*f + 16*i - 15*i - 3 = 0 for f. -2 Solve 14008 - 14012 = -k + 2*f, 2*k - k + f = -8 for k. -4 Solve 2*u = -4*r + 28, 7*u + 46 = -94*r + 98*r for r. 8 Solve -455*w + 460*w + 40 = -5*c, -31 = 2*w + 5*c for w. -3 Solve 5*x = -5*t - 65, -16 = -658*x + 660*x for t. -5 Solve 0 = 3*n + 4*h - 25, -4*h = -4*n - 19 + 15 for n. 3 Solve 3*p - k - 12 = 0, -275*p - 62 = -285*p - 4*k for p. 5 Solve 3*f - 6 = 0, 4*l - 93*f + 91*f - 8 = 0 for l. 3 Solve 4*n - 126*o + 123*o - 2 = 0, 17 = n + 2*o for n. 5 Solve 1 = -35*b + 40*b + 4*z, 3*b - 4*z = 7 for b. 1 Solve 2*n - 3*l + 19 = -13, 31 = -5*n + 4*l for n. 5 Solve -4*k - 5*f + 22 = 0, 9121*k - 14 = 9116*k - 4*f for k. -2 Solve m + 3*k = -16, -239*k + 241*k = -m - 10 for m. 2 Solve 3*k = 3*d + 9, -19 = k + 5*d - 10 for k. 1 Solve 0 = -2*h - 2, 220*t + 5*h = 225*t for t. -1 Solve 0 = -5*z - 5*p - 55, -z + p - 35 = 5*p for z. -3 Solve 5*c + 5*w + 35 = 0, 96*c - 100*c - 5*w = 31 for c. -4 Solve 11*s + 30 = 14*s - 3*x, -x + 11 = 2*s for s. 7 Solve -2*w - 2*w - 11 = -3*z, -4*z = -4 for w. -2 Solve -3*o - 6 = -3*l, -27 + 37 = 12*l - 5*o for l. 0 Solve -3*r + 2807*f = 2814*f + 31, f = -2*r - 17 for r. -8 Solve -5*h + 7*q = 4, 5*h + 2*q - 57 = -43 for h. 2 Solve -5*h = 5*v - 70, 17*v = -2*h + 21*v + 16 for h. 12 Solve -9*x + 17 = 2*r, 4*r + 40 = 5*x + 51 for r. 4 Solve 2*q + 8 = v, 8 = 2*v + 20*q - 22*q for v. 0 Solve -4*h - 16 = 5*c, -4*c - h = -3 + 7 for c. 0 Solve i + 3*r = 13, -30 = 5*i + 26*r - 30*r for i. -2 Solve 2*n - 2*x + 22 = 0, -5*n = 2*n - 2*x + 87 for n. -13 Solve b - 7*d = 17, -8451*b - d = -8446*b - 2*d + 17 for b. -4 Solve -4*w = 2*v - 40, -17121*v + 3*w - 4 = -17116*v for v. 4 Solve -5*m = -4*f + 21, -7*f + 4*f + 12 = -3*m for m. -5 Solve -m = -5*k + 20 - 32 + 28, 3*k - 3*m = 12 for k. 3 Solve -3*u - 34 = -5*h, -65*h + 60*h = -4*u - 42 for u. -8 Solve 0 = -3774*p + 3772*p + 2*z + 14, 0 = 3*p - 5*z - 15 for p. 10 Solve 465*i = 462*i + 3*q - 51, -34 = 22*i - 5*q for i. 3 Solve -2*y + x - 26 = -5*y, 2*x = -11*y + 72 for y. 4 Solve -2*q + 5*z = 0, -7*q + 4*q = 206*z - 210*z + 14 for q. -10 Solve -3*d + 1763*w - 1758*w + 28 = 0, 5*d + w = 0 for d. 1 Solve 0 = 5*t - f + 11, -6*f - 11 = -t + 10 for t. -3 Solve 2*f - 57 + 19 = 2*o, 0 = -5*o + 4*f - 73 for o. 3 Solve -3*r - v + 6 = 16, -5*r = -5*v + 30 for r. -4 Solve -3*l - 3*l = 7*b + 24 - 6, 0 = 3*b for l. -3 Solve a + 2 = 0, 0 = -14*n + 12*n - a - 4 for n. -1 Solve 0 = -4*h + 5*q - 25, -5*h + 53 = -5*q + 78 for h. 0 Solve -4*v - 996*w + 5 = -999*w, 5*w = 2*v + 1 for v. 2 Solve 121*p + 2*a + 7 = 124*p, -1 = -a for p. 3 Solve -20*i + 10 = -15*i + s, -4*s = i - 59 for i. -1 Solve 0 = 5*v - 3*z + 51, 6*v + z + 25 = 19 for v. -3 Solve -5*l = -5*q - 10, 15*q = -5*l + 13*q + 3 for l. 1 Solve -4*n = 12*z - 236, -4*n = z + 28 - 33 for z. 21 Solve 28*z + 5*n = 26*z + 30, -z = 5*n - 25 for z. 5 Solve 4*f = 57*y - 59*y + 46, 4*f + 39 = 3*y for y. 17 Solve -2*p + 5 = 3*i, -22*p - 11 = 3*i - 24*p for i. -1 Solve 40*c - k = 44*c - 32, -4*c = 2*k - 36 for c. 7 Solve 11*i - 5*f = 10 - 79, -5*i - 5*f = -5 for i. -4 Solve -34*l + 32*l + 4 = 0, -3*i - 7 = l for i. -3 Solve -3*j + 75 = 129*u - 126*u, j = 4*u + 10 for j. 22 Solve 5*q + v + 8 = 0, 5*q - 27*v = -30*v - 4 for q. -2 Solve 95 = 3*t - 22*j, -92*t + j = -93*t - 10 for t. -5 Solve 428*i - 2*t + 4 = 431*i, 5*i - 4*t = 36 for i. 4 Solve m + 5*z - 30 = 1, m - 27 = -4*z for m. 11 Solve 0 = 166*z - 163*z + 5*u - 3, 0 = 8*z + 2*u - 8 for z. 1 Solve 5*g - 1711 = -4*m - 1694, -m = -5*g + 27 for g. 5 Solve 88*h + 12 = -5*s + 86*h, 5*h + 1 = 2*s for s. -2 Solve -27*q + 2 = 2*n - 31*q, 4 = 4*n - 4*q for n. 1 Solve 4*k = -5*l + 38, -2*l + 5*k - 2 = -37 for l. 10 Solve -2*n - 5*j = -9, 40 = -5*n - 3*j + 53 for n. 2 Solve 3*b = -3, -59*b + 63*b = 3*l + 5 for l. -3 Solve -2*f + 21 = -5*y, 3*y = -27*f + 32*f - 43 for y. -1 Solve v = 4*y - 13, 0*v - y - 23 = 5*v for v. -5 Solve 3*h - 6*d - 39 = 0, -4*d + 2 - 25 = h for h. 1 Solve -2*q = -2*w + 16, w = -q - 44 + 42 for w. 3 Solve 0 = 2*x + 4*q - 4, -12 = 22*x - 21*x - 5*q for x. -2 Solve -4557*a = -4553*a + 5*n + 11, 5*a = -3*n - 17 for a. -4 Solve -n - 3*s = 1, -212*n + 4*s = -213*n for n. -4 Solve 5*s - 9 + 10 = -4*t, -4 = 2*t - 4*t + 2*s for t. 1 Solve 0*n + 6*n + 6*a = 4*n - 2, -2 = 2*a for n. 2 Solve 4*k - 3*v = -10, -24*v - 4 = -4*k - 28*v for k. -1 Solve -20 = -445*j + 448*j - w, -2*j - 20 = -2*w for j. -5 Solve -5*i + 3*d - 25 = 0, -4*i = -3*d - 29 + 49 for i. -5 Solve 4*o - 35 = -26*j + 29*j, 3*j = -15 for o. 5 Solve 19*u - 4*n + 24 = 21*u, -26*u + 5*n + 27 = 0 for u. 2 Solve -3 = -4*b - 3*j, 5740 = -b + 5*j + 5712 for b. -3 Solve -3*y = 3*w - 39 + 105, -2*w - 27 = y for w. -5 Solve 0 = -18*q + 2*f + 62, -5*f - 3 - 14 = q for q. 3 Solve -3*t - 6 = 3*o, 3*o - 4*t - 145 = -172 for o. -5 Solve -2*g = -5*p + 1, -3*p - 17 = 147*g - 146*g for g. -8 Solve -m + 26 = -3*l, -29 = -5*m + 7*m + 3*l for m. -1 Solve -13 + 39 = 5*i + 3*b, 6 = 2*i - b for i. 4 Solve -8*g + 5*p = 8, 366*g = 369*g + 5*p + 3 for g. -1 Solve 0 = 3*p + 82*f - 79*f - 9, p - f = -1 for p. 1 Solve -4*k + 5*l = 15 - 70, 3*k = -3*l - 33 for k. 0 Solve 0 = h + 3*f - 2, 30 = -2*h - 2*f + 34 for h. 2 Solve v - 1 = 4*x, 2073*x + 3*v - 18 = 2070*x for x. 1 Solve -20*p - 4*r - 28 = 0, -40*p + 42*p - 5*r - 8 = 0 for p. -1 Solve 549*v - 553*v + g + 17 = 0, 2*v - 2 = -6*g for v. 4 Solve -244*y + 239*y + 55 = 5*b, 4*b - 69 = y for y. -5 Solve 5*p + 4*z - 9 = -7, 4*p - 1 = -3*z for p. -2 Solve x - 2*s = 20, 39*x + 21*s + 91 = 41*x for x. 14 Solve 50 = -5*w + 4*l, 24 + 266 = 58*l for w. -6 Solve 5*j + 28*y = 27*y + 7, -9 = 3*j + 5*y for j. 2 Solve 3*t + 3 = -3*l, 4*l - 493*t + 492*t = 1 for l. 0 Solve z - 2*y = -36, -59*z - 4*y + 66 = -58*z for z. -2 Solve 3*n + 3*y = -15, 782*y + 6 = -n + 780*y for n. -4 Solve -4*f - 2*r = 2, 121*f + 2*r = 145*f - 58 for f. 2 Solve 3*s = -5*w + 10*w + 26, 3*s - 14 = 2*w for w. -4 Solve -33 - 4 + 13 = 6*l - 5*p, -4 = l + 21*p for l. -4 Solve -9 = -3*j + 5*p, -21*j - 7 = -16*j - p for j. -2 Solve 191 = -5*t + 3*a + 103, 2*t + a = -44 for t. -20 Solve -58*y + 31*y + 25*y + 4*h = 0, 3*h = 2*h for y. 0 Solve -v - 13*l = -151, -l = -4*v - 164 + 132 for v. -5 Solve 17 = 2*y - y - 2*r, 3*r - 187 = -211 for y. 1 Solve 9*u - 326*i + 25 = -327*i, 3*u + 19 = 5*i for u. -3 Solve -g = 2*v - 13, 87 = 2*v + 71 for g. -3 Solve -236*m - 5*k = -235*m - 8, -4*m = 3*k - 32 for m. 8 Solve -3*i - 3*r = 3, -12*i - 2*r - 56 = -4 for i. -5 Solve 0 = l + 750*y - 748*y - 5, 0 = 4*l + 3*y + 5 for l. -5 Solve 15 = 2*n + x, -5*x = 79*n - 74*n - 50 for n. 5 Solve s - 18*k + 43 = -9*k, s + 3*k - 17 = 0 for s. 2 Solve g = -5*s - 582 + 596, 8 = -5*g + s for g. -1 Solve -8*k + 4*k = 3*w + 11, 5*w - 5*k = 5 for w. -1 Solve 0 = -2*t + 2*g - 6, 3*t + 2*g - 984841 = -984840 for t. -1 Solve 77*m - 80*m = -3*v - 9, 4*m + 5*v = -15 for m. 0 Solve -3*u - 164*j = -159*j + 24, 2*u - 30*j + 12 = -32*j for u. -3 Solve -178*b + i + 45 = -183*b, 0 = -5*b
{ "pile_set_name": "DM Mathematics" }
, 3.7, -5/34211? 3.7 Which is the third biggest value? (a) -2/19 (b) -2 (c) -18 (d) 1 (e) -338 (f) 0 (g) 13 f Which is the fourth smallest value? (a) -0.1 (b) 1.02 (c) -2.1 (d) -0.3 (e) -349 a What is the seventh smallest value in 5, 4/5, -1/13, -0.5, -12/19, 0.6, 0.1? 5 Which is the third biggest value? (a) -5126 (b) 1/7 (c) 295 a What is the second smallest value in -0.2, 2, -2/843, -305.2? -0.2 What is the fifth smallest value in 0.0341, -4, 157, -2/7, -0.16? 157 What is the second smallest value in 371, 0, 2/7, -44.7? 0 What is the sixth smallest value in -1, -5, -240, 0.1, 28, -2/7, 0.4? 0.4 Which is the second biggest value? (a) 15 (b) 0.069 (c) 1/96 (d) -3 (e) -2/3 (f) 1 f What is the biggest value in -2, -2/9, -2810, 0.83, -3, 4? 4 What is the seventh biggest value in -0.14, -9, 3, -5, 0.3, -0.3, -427? -427 What is the sixth smallest value in 0.2, -1/4, -8, -0.76, -0.12, 22? 22 Which is the biggest value? (a) 5 (b) 1332854 (c) -182 (d) -0.4 b Which is the smallest value? (a) -0.09 (b) -1/5 (c) -55 (d) 22/13 c Which is the biggest value? (a) 0.9699 (b) -0.5 (c) -3 (d) 4 (e) 5 e What is the third smallest value in -12675, -3/170, -123? -3/170 What is the seventh smallest value in 0.13, -0.1, -2/3, 0.058, -12, -9, 5? 5 What is the second biggest value in 2, 1, 3/7, -2.35, 8? 2 Which is the second biggest value? (a) -0.1 (b) 3 (c) -6/7 (d) -22509 (e) 0.2 e Which is the fourth biggest value? (a) -0.2 (b) -1 (c) -214 (d) 33 (e) -390 (f) 1/31 b Which is the third biggest value? (a) 0.061 (b) 2/7 (c) 3 (d) -182/255 (e) -3/2 a What is the third biggest value in -0.44, -470, -4/3, -0.7, 2/5? -0.7 Which is the fifth biggest value? (a) 576 (b) 3 (c) 960/7 (d) 2/13 (e) 1/3 (f) 1 e What is the third smallest value in -41403, -4, 8, -0.4, 5, 1/7, 0.3? -0.4 Which is the fifth smallest value? (a) -7 (b) -3 (c) -3.3 (d) 1 (e) 103 e Which is the third smallest value? (a) -70 (b) -4/5 (c) 1 (d) -7 (e) -2/41 (f) -10 d What is the fourth smallest value in -11, 2607, -5, 188/3, -0.03? 188/3 Which is the biggest value? (a) 1/189 (b) -3 (c) 11 (d) -5/149 c Which is the second biggest value? (a) -2/827 (b) -0.307 (c) -1/8 (d) -2 (e) -2/7 c Which is the biggest value? (a) 1 (b) -10 (c) -2.1 (d) 15.15 (e) 2 d What is the fifth biggest value in 23, -2/15, 0, -10, 29, 3, -1/190? -1/190 What is the third smallest value in 235.45, 0.03, 1027? 1027 What is the fifth smallest value in -121/5, -0.012, 1, 0.1, -1/2, 0.3, -8? 0.1 What is the third biggest value in -1/8, 1322, 21/13? -1/8 Which is the fifth smallest value? (a) 4 (b) -25.03 (c) -2 (d) 2 (e) -16 (f) -2/7 d Which is the second biggest value? (a) 0.36 (b) -0.05 (c) -116.08 b Which is the fifth biggest value? (a) -3 (b) -4 (c) -0.5 (d) 1.98692 (e) 0.4 (f) 30 a Which is the second smallest value? (a) -5/2 (b) -0.01 (c) -3/2 (d) 1/3 (e) -0.9 (f) 0.1 (g) 13 c What is the third smallest value in -0.4, -0.3, -1379, -962? -0.4 Which is the sixth biggest value? (a) -15.4 (b) -56 (c) -1 (d) 0 (e) -4/3 (f) 5 (g) -5 a What is the sixth smallest value in -681, -2.1, 0.15, -0.3, 11, 0.3, 0.1? 0.3 What is the fourth biggest value in 519, -302, 8, -2/7, 0.4? -2/7 What is the second smallest value in -3.11, 3, 0.1, 7, -4, -9? -4 Which is the second smallest value? (a) 377 (b) 44 (c) -362 b What is the second smallest value in 1/11, 30.316, 0.3, -1.8? 1/11 Which is the fourth biggest value? (a) 4 (b) 0.2 (c) 0.02 (d) -0.01 (e) -2/9 (f) 0.05 c Which is the fourth biggest value? (a) 4/17 (b) 1/191 (c) 4/11 (d) -11 d What is the smallest value in 7/4, 0.041, -5, -2, -280? -280 What is the smallest value in -5, 0.7068491, -1/3? -5 Which is the fifth biggest value? (a) -0.02 (b) -5 (c) 1.93953 (d) -1 (e) -4/29 b Which is the fourth biggest value? (a) 0.011 (b) -0.4 (c) 0.109 (d) 2/7 (e) 1/6 (f) 4 (g) 112 e Which is the seventh biggest value? (a) 0.4 (b) 2/11 (c) 0 (d) -0.3 (e) -0.4 (f) -5/76 (g) -1727 g Which is the biggest value? (a) 9 (b) -1/2088 (c) -2/13 (d) 0.2 (e) 1/2 (f) -1/3 a What is the smallest value in 0, -6/13, 9683, 0.79? -6/13 What is the smallest value in 2, -69, -0.5, 3.1, 0.04? -69 Which is the second biggest value? (a) -30/23 (b) -294 (c) -2/7 (d) 95 c What is the biggest value in -2/11, -3/6665, 157.47? 157.47 What is the fourth smallest value in -0.4, -4, 1/3, 8, 0.1, -546/5, -3? -0.4 What is the seventh smallest value in -21/5, -1/4, 3, 3/5, 1/11, 4, -6822? 4 Which is the second smallest value? (a) 41 (b) -4 (c) -2 (d) -1/10298 (e) 0.4 c What is the second smallest value in -1/4, 220/3, 2/1543, 2/13? 2/1543 What is the fourth smallest value in -5, 1, 1/9, 0.1, 1.1, 0.15, -0.1? 1/9 What is the second smallest value in -403, 1, 2461? 1 Which is the seventh smallest value? (a) 163 (b) -5 (c) 4 (d) -6/5 (e) -3/4 (f) 3/2 (g) -0.13 a What is the smallest value in 1/4, 2, -353, -10, 1/2? -353 Which is the second smallest value? (a) -3/7 (b) -5 (c) 683/25657 (d) -2/7 a What is the fifth smallest value in 324, 20, 5/32, -4, -5? 324 What is the smallest value in 72532, -6/13, 0.4? -6/13 What is the fifth biggest value in -2/3, 5, -6701, -5, 4, -10? -10 What is the fifth biggest value in 5, 0.13, 0.4, 4, -8831? -8831 What is the third smallest value in 2678, -2.8, 759? 2678 Which is the fifth biggest value? (a) 2 (b) -0.1 (c) -2 (d) 2/9 (e) -64 (f) -1815 (g) -2/7 c Which is the sixth biggest value? (a) -0.3 (b) 0.5 (c) -5 (d) 85.9 (e) 0.2 (f) -0.033 (g) 3 a What is the third smallest value in -0.01, 2, 0.5, 5, -433, 0.22? 0.22 What is the fourth biggest value in 1/11, 5, -6.679, -3, 0.022? -3 Which is the third smallest value? (a) 3 (b) -83/98 (c) 686 c Which is the sixth smallest value? (a) 34 (b) 1/4 (c) 2/7 (d) 5 (e) -2/7 (f) -4 a What is the smallest value in -3, 1/24, 1.8107, 3.1, -0.4, -1, 2/13? -3 Which is the second biggest value? (a) 5/4 (b) -2/3 (c) 6/5 (d) -5/4 (e) -0.22 (f) -2/5 c What is the third smallest value in 137071, -4, -8/15, -3? -8/15 Which is the third smallest value? (a) -2/15 (b) -78 (c) 0.5 (d) -0.5 (e) -36.4 (f) 9 (g) 2 d Which is the third biggest value? (a) 1 (b) -0.3 (c) -2 (d) 0.1 (e) -6 (f) 30 (g) 0.62 g Which is the third biggest value? (a) -2 (b) -5 (c) 4435 (d) -101/7 (e) -1/7 a What is the third biggest value in -404/13, -207, -0.03, 2/3? -404/13 What is the smallest value in 2, 18.22, -2/5, 2/11, -36, 1/11? -36 What is the second smallest value in 2, 0.8, 52015/318? 2 What is the second biggest value in -1/8, -2/5, 3, -0.05, -1, 2045/3? 3 Which is the biggest value? (a) 4757.3 (b) -2 (c) 0.3 (d) 5 (e) 1 a What is the third smallest value in 58, -0.4, -1/13210, 0.5, -5? -1/13210 Which is the smallest value? (a) -2/3 (b) 0.3 (c) 1 (d) -5/4 (e) 3/2 (f) -513/5 f What is the third smallest value in -2, 2110, -1.0663? 2110 Which is the smallest value? (a) -17954 (b) -2 (c) -0.0436 a Which is the second smallest value? (a) 2/7 (b) -2 (c) 5 (d) -21743.6 b What is the biggest value in -758, -0.2, 0.1, -3/5, -0.08? 0.1 What is the fourth smallest value in 3/2, -1/1839, -6, 6, 0.4? 3/2 Which is the second smallest value? (a) 44 (b) -0.029 (c) -795 b Which is the second biggest value? (a) 4 (b) -2764/5 (c) 8263 a Which is the biggest value? (a) 47 (b) -9 (c) 661.1 c What is the third smallest value in 14/263, -11, 5446? 5446 Which is the smallest value? (a) -4 (b) 2572 (c) 0.18 (d) 4/3 a What is the fourth biggest value in -9.1, -0.5, -5, -151/2? -151/2 What is the third smallest value in -3, 20, 4488, 0.2, -10, -0.2, -5? -3 Which is the fourth smallest value? (a) -11.37855 (b) 0 (c) -0.4 (d) -1 (e) -4 c Which is the third biggest value? (a) 1 (b) 2 (c) -122 (d) 18 (e) 137 (f) -3 b What is the biggest value in 0.111, 8, 1/3, 28, 10, -5? 28 What is the second smallest value in -3/10, -5, -183.13, -0.0508? -5 Which is the second smallest value? (a) 0.22 (b) -4 (c) 18 (d) 2/9 (e) -0.14 (f) 3 (g) -5 b What is the fourth biggest value in -0.5, -382, 4, -1, 3/7? -1 Which is the fifth smallest value? (a) -0.3 (b) -0.4 (c) -6 (d) 7 (e
{ "pile_set_name": "DM Mathematics" }
-35. Does 27 divide k? True Let p = -19 - -11. Let i be p/(-5) + 6/(-10). Suppose t + i - 13 = 0. Is t a multiple of 6? True Let u be 1/(((-2)/8)/(-1)). Suppose -4*k = 2*a - 4, 0 = -3*a + u*a + 5*k - 5. Suppose a*m - 4*m + 128 = 0. Is m a multiple of 14? False Let k(a) = -a**3 - 5*a**2 + 15*a + 11. Let l be k(-7). Suppose 0*b + 19 = b. Suppose l*y + b = 195. Is 15 a factor of y? False Let r(j) = -j**2 + 16. Let n be r(0). Suppose -n + 39 = u - 3*k, -5*u = -3*k - 91. Does 17 divide u? True Is (-3 + 2)*(-26 - 3) a multiple of 5? False Suppose 4*a = 3*n - 0*n + 17, -4*a + 18 = -2*n. Suppose -6*q + 105 = -3*q. Suppose -2*u - o = -0*o - 12, -a*o + q = 5*u. Does 3 divide u? False Let y(o) be the third derivative of o**7/840 + o**6/72 - o**5/12 - o**4/3 + o**3/6 + 3*o**2. Let r(n) be the first derivative of y(n). Is 16 a factor of r(-6)? True Suppose -60*x = -57*x - 294. Is x a multiple of 6? False Is 10 a factor of 7050/102 - 4/34? False Let j = 380 - 266. Is j a multiple of 19? True Let o = 158 - 99. Does 10 divide o? False Suppose -7 - 3 = -5*j. Is 7 a factor of (16/20 + j)*5? True Suppose x + 3*x + 12 = -2*y, -x - 4*y - 17 = 0. Let k = 21 + x. Does 7 divide k? False Let k(d) = -d**3 + 3*d**2 - 2*d. Let o be k(2). Suppose -x = -0*s - s + 7, 2*s + 3*x + 11 = o. Is s even? True Let g = -5 - -39. Let p = g - -29. Does 11 divide p? False Let k = -31 + 53. Is k a multiple of 18? False Let b = 229 - 130. Is 13 a factor of b? False Suppose 7 = -4*b + 91. Does 9 divide b? False Suppose 0 = -4*m + 5*g + 348, -4*m + 5*m - 4*g - 98 = 0. Is 21 a factor of m? False Let z = 0 - 1. Let n be 14/(2 - (z - -1)). Suppose -n*b + 2*b - 4*m = -48, 5*m + 6 = 2*b. Is 3 a factor of b? False Suppose -4*r + 4*j + 516 = 0, -3*j - 651 = -6*r + r. Does 22 divide r? True Let x be ((-10)/2)/1 + -1. Let m be (x/(-9) - 0)*-3. Is 5 a factor of (-28)/(-2) + (-2 - m)? False Let r = 7 + 2. Let t be 10/8 - (-1)/(-4). Suppose r = 2*x + t. Does 2 divide x? True Suppose -7*s + 4*g = -2*s - 106, -g - 87 = -4*s. Let k = 94 - s. Is k a multiple of 24? True Let c(u) = -u**3 - 5*u**2 + 7*u + 6. Let b be c(-7). Suppose b = 2*z + 3*z. Is 9 a factor of z? False Let m(a) be the first derivative of -3*a**2/2 + 6*a + 3. Is m(-9) a multiple of 16? False Suppose -3*i + 311 = 4*k, -4*k + 249 = -k - 3*i. Does 19 divide k? False Suppose 4*m = -m + 5. Let i = m - -11. Is 9 a factor of i? False Suppose -4*r + 88 = -3*n, 88 = 4*r + 2*n - 3*n. Does 8 divide r? False Suppose -11*t + 7*t = -240. Is 12 a factor of t? True Let v(s) be the third derivative of -s**4/24 + 13*s**3/6 - s**2. Let i be v(9). Suppose -m + 7 = -i. Is m a multiple of 11? True Let n be 32/5 + (-4)/10. Let i be ((-4)/n)/2*-9. Suppose 6*m - 18 = i*m. Is m a multiple of 3? True Let c(o) = 2*o**2 + 4*o + 4. Let q(p) = -p**3 + 5*p**2 - 5. Let a be q(5). Let x be c(a). Suppose x = 2*w - 2*t, 17 = 5*w - 2*t - 53. Does 12 divide w? True Let w(g) = -g**3 - 4*g**2 - 3*g - 6. Let b be w(-4). Suppose b*c - 20 = c. Is 11 a factor of (6/c)/((-1)/(-18))? False Let f = -2 - -5. Suppose s - 16 = -f*s. Suppose -s*t = 5*j - 96, -t + 7 = 3*j - 52. Does 20 divide j? True Let x = -11 - -15. Suppose x*h - 429 + 85 = 0. Is h a multiple of 26? False Let x be -2 + (-3)/((-9)/(-6)). Let j = 9 + x. Suppose -3*a - f = -90, -157 = -j*a - 4*f - 7. Does 15 divide a? True Suppose -4*k - 8 = 8. Let c = 6 + k. Is 18 a factor of 0 + -2 + c + 36? True Suppose 0 = l - 6*l + 40. Does 8 divide l? True Let h(r) = 24*r**2. Let f be (2/3)/2*3. Let z = -2 + f. Is h(z) a multiple of 8? True Let a(x) = -9*x**3 + 2*x**2 + 2*x + 1. Is a(-1) a multiple of 2? True Suppose -3*f - 9 = -0*f - 3*v, 6 = -2*v. Let l(m) = m**2 + 3*m - 8. Does 8 divide l(f)? False Let r(m) = m**2 + 26. Let z be r(0). Suppose z = 2*w - 52. Does 13 divide w? True Let t(n) = 2*n**2 + 2*n + 1 + 0 + 0*n**2 - 5. Does 20 divide t(-4)? True Let c = 4 + -3. Suppose -3*z + 10 = c. Is 3 a factor of z? True Let o(g) = -10*g - 2. Let z(x) = -x - 1. Let i(p) = -o(p) + 6*z(p). Suppose 5*r = d + 12 + 10, 4*r + 4*d - 8 = 0. Is 12 a factor of i(r)? True Let o(g) = 19*g**3 + g**2. Let b be (-7)/(-6) - 2/12. Is 19 a factor of o(b)? False Let k = -18 - -48. Is k a multiple of 15? True Suppose -2*c = -246 + 758. Let h = -169 - c. Suppose 0 = -2*x - 4*z + 24, -x - 5*z - h = -5*x. Is 8 a factor of x? False Let y(n) = 2*n**3 - n**2 - n + 52. Is 26 a factor of y(0)? True Let t(c) = -2*c**2 - c + 18. Does 9 divide t(0)? True Let j = 49 - 3. Is 2 a factor of j? True Let y(p) = -p**3 + p**2 + p + 69. Suppose 0 = -2*a + b - 1, -3 = -3*a + 3*b - 6. Does 23 divide y(a)? True Let b(z) = 0*z - 4*z**3 + z + 2*z**2 + 2 + 3*z**3. Let y be b(-2). Suppose v - y = 1. Does 17 divide v? True Suppose -b + 54 = 6. Is b a multiple of 8? True Let v = 1 - 0. Let k = v - 2. Is 6 a factor of k/((-1)/10) + 2? True Suppose 2*j = -3*q + 8, -1 + 21 = 5*j + 4*q. Let h be j/(-6) + (-2)/6. Does 17 divide ((-170)/15)/(h/3)? True Let a be 2*1 - (0 - -2). Does 7 divide ((-14)/(-6) + a)*9? True Let a(o) = 2*o**2 + o - 4. Let u be a(-3). Suppose 0 = -3*l - 2*k + u, -3 = 2*l - 3*k - 19. Is 3 a factor of l? False Suppose 0 = -q - 4*d + 39, 3*d - 5*d = -q + 27. Is q a multiple of 18? False Suppose 0 = 3*s + 3*s - 618. Is s a multiple of 4? False Let n(s) = -s**3 + 2*s**2 - 1. Let o be n(2). Let h = o - -2. Is (h/2)/(2/64) a multiple of 16? True Let s be 1/(-7) + 11767/49. Does 17 divide (3/(-6))/((-2)/s)? False Let z = 82 - 34. Is z a multiple of 16? True Let x(k) = k**2 + 5*k - 2. Does 6 divide x(2)? True Suppose -465 = -3*n + 39. Is 28 a factor of n? True Let a(v) = -v - 5. Let t be a(0). Let l(z) = z**3 + 8*z**2 + 4*z - 7. Let m be l(t). Suppose 3*b - 5*c - m = 0, b + c = 2*b - 18. Does 17 divide b? False Let p = -105 + 123. Does 11 divide p? False Let h(b) = -2*b**3 + 13*b**2 + 2*b + 8. Suppose -5*l + 5*r + 15 = -5, 5*l + 3*r = 36. Is 14 a factor of h(l)? True Let j be (20/(-6))/(8/108). Suppose 2*s = -36 - 24. Let a = s - j. Does 8 divide a? False Is 26 a factor of 2 - (-3)/(12/376)? False Let z = -32 + 52. Let s = z + -4. Is 13 a factor of s? False Let q(g) be the first derivative of -g**4/4 - 7*g**3/3 + 3*g**2 - 2*g + 6. Is 7 a factor of q(-8)? True Suppose -3*f - 4 = -16. Suppose -6*c + f*c = -106. Is c a multiple of 23? False Is (-41)/(-9) + (-96)/(-216) a multiple of 5? True Let z(r) = 8*r + 10. Let f(m) = 1. Let u(c) = -44*f(c) + 4*z(c). Let n be u(4). Suppose 0 = x - 4, 0*x + n = 4*t + 2*x. Is 12 a factor of t? False Let g = 137 + -12. Suppose 5*o - g = -0*o. Does 16 divide o? False Let l(c) = 17*c**3 - c**2 - c + 2. Let k be l(2). Suppose -4*z = -z - k. Is z a multiple of 15? False Let d(o) = -2*o**3 + 18*o**2 - 2. Does 18 divide d(8)? True Let y(w) = w**3 - 20*w**2 + 20*w + 9. Does 7 divide y(19)? True Suppose -2*d = -z - 3*z - 34, -4*z = -4. Is d even? False Let k(n) = -n**3 + 3*n**2 + 7*n + 13. Is k(-4) a multiple of 17? False Let o = -14 - -53. Does 20 divide o? False Suppose 0 = -y + 1. Let i(a) = 3*a**2 + 2*a - 1. Is i(y) a multiple of 4? True Suppose -5*f + 25 = 0, -3*f = -2*g - 0*f + 45. Let u = 6 + -4. Suppose 0 = -5*x + t + g, -t = -x - 0*x + u. Is x a multiple of 7? True Let b(d) = -14*d**3 + 4*d**2 - 3*d + 4. Let w(q) = 29*q**3 - 9*q**2 + 7*q - 9. Let t(s) = 9*b(s) + 4*w(s). Let h = -4 + 3. Is t(h) a multiple of 9? True Suppose 2 = 4*l - 5*l, 5*l = -4*a - 154. Is (0 + -5)*a/20 a multiple of 4? False Suppose -174 = -2*s + 5*r, 2*s + 0*r + r = 150. Does 11 divide s? True Let a(x) = x**3 - 2*x**2 + 2*x - 2. Let g be a(2). Suppose o + o = -g. Let l(i) = 38*i**2 - 2*i - 1. Does 11 divide l(o)? False Let l = 89 + -14. Is 18 a factor of l? False Let v(u) = -2*u + 1. Let l be (2/4)/(3/(-12)). Does 5 divide v(l)? True Let k(w) = -5*w**3 + 12*w**2 - 12*w - 13. Suppose 3 = 2*a - 5*a. Let d(i) = -i**3 + i**2 - i - 1. Let p(g) = a*k(g) + 4*d(g). Is 16 a factor of p(7)? True Let v(z) = -z**2 + 4*z - 2. Let f be v(3). Let i(g) = 5*g + 1. Is i(f) a multiple of 3? True Let q(k) = -k**2 + 13*k - 13. Is 3 a factor of q(8)? True Let i(t) = t**3 - t**2 - t - 112. Let z be i(0). Is 15 a factor of 15/(-2)*z/35? False Suppose -4*p - 4*q + 280 = 0, 4*q = 9*q + 20. Suppose -4*m + 280 = -3*n, -5*m + p = 2*n - 276. Is m a multiple of 16? False Let h(m) = 11*m + 109. Is h(2
{ "pile_set_name": "DM Mathematics" }
mine v(11). -652 Let a(y) = -124*y - 5. What is a(0)? -5 Let m(j) = -5*j**2 - 75*j - 4. Give m(-14). 66 Let m(a) = -9*a**2 - 14*a - 1. Determine m(-6). -241 Let v(h) = 5*h**3 - 11*h**2 - 5. Give v(3). 31 Let o(i) = 13*i**3 - 2*i**2 + 2*i - 5. Calculate o(-3). -380 Let y(f) = 81*f - 51. Calculate y(0). -51 Let i(a) = 275*a + 1086. Calculate i(-3). 261 Let z(p) = -p**2 - 220*p - 138. Determine z(0). -138 Let r(z) = 34*z - 3435. Calculate r(87). -477 Let j(h) = 99*h**2 - 18*h + 31. Give j(2). 391 Let x(a) = 14997*a + 329923. Determine x(-22). -11 Let u(b) = 8*b**2 - 59*b + 87. Determine u(5). -8 Let o(g) = g**3 - 14*g**2 + 48*g - 45. Calculate o(10). 35 Let q(h) = h**2 - 771*h - 52538. Determine q(-63). 4 Let c(b) = -b**2 - 13*b + 869. Determine c(-38). -81 Let v(g) = 86*g + 1867. What is v(-23)? -111 Let n(m) = -15*m**3 + 7*m**2 - 4*m + 10. Give n(3). -344 Let b(q) = -2*q**3 + 64*q**2 - 4*q + 152. What is b(32)? 24 Let k(c) = -120*c - 399. Determine k(-4). 81 Let i(a) = 2*a**3 - 246*a**2 - 55. What is i(123)? -55 Let q(x) = x**3 + 4*x**2 - 43*x + 42. Give q(4). -2 Let x(d) = -1814*d - 47195. Determine x(-26). -31 Let g(l) = l**3 + 37*l**2 - 54*l - 610. Determine g(-38). -2 Let x(v) = v**2 - 854*v - 2565. What is x(-3)? 6 Let k(q) = 44*q + 14. What is k(-3)? -118 Let s(f) = f**3 + 12*f**2 - 34*f - 121. Give s(-14). -37 Let i(g) = g**2 - 145*g + 573. Determine i(4). 9 Let p(l) = 16*l**3 + 16*l**2 - 22*l. Determine p(-2). -20 Let z(k) = -8*k**2 - 328*k + 23. Determine z(-41). 23 Let f(y) = -y**3 + 2*y**2 + 22*y + 13. Calculate f(-3). -8 Let z(i) = 2*i**2 - 54*i - 330. Determine z(-7). 146 Let r(g) = -49*g + 2867. Calculate r(59). -24 Let u(f) = -72*f + 1150. Calculate u(16). -2 Let b(l) = -37*l + 4937. What is b(135)? -58 Let z(u) = 111*u + 133. What is z(-3)? -200 Let a(p) = -7*p**2 + 167*p - 993. What is a(11)? -3 Let m(u) = 129*u - 12214. Calculate m(95). 41 Let a(b) = -b**3 - 8*b**2 - 106*b - 592. Determine a(-6). -28 Let j(q) = -19*q + 499. Give j(20). 119 Let r(h) = 19*h**2 + 174*h + 689. Determine r(-4). 297 Let n(v) = -2*v - 84. Determine n(9). -102 Let n(c) = -7*c**2 + 25*c + 11. What is n(6)? -91 Let m(g) = -3*g**2 + 55*g - 247. Give m(11). -5 Let u(y) = -3*y**3 + 8*y**2 + 42*y + 6. Give u(-3). 33 Let h(u) = -4*u**2 - 64*u - 259. Give h(-5). -39 Let d(g) = 36*g**3 + 8*g**2 + 2*g - 1. Give d(-2). -261 Let g(i) = 11*i**3 + 37*i**2 + 8*i - 6. Determine g(-3). 6 Let x(j) = 179*j + 26317. What is x(-147)? 4 Let b(y) = 148*y + 704. Determine b(-8). -480 Let k(j) = 5*j**3 - 108*j**2 + 49*j + 300. What is k(21)? 6 Let s(t) = 11*t - 23. Determine s(-1). -34 Let f(o) = -o**2 - 20*o - 81. Determine f(-21). -102 Let u(o) = o**3 - 67*o**2 + 9*o - 149. Give u(67). 454 Let q(z) = -z**3 + 5*z**2 + 5*z + 19. Calculate q(6). 13 Let t(m) = -m**3 - 91*m**2 + 186*m - 191. What is t(-93)? -191 Let o(b) = -6*b**2 + 7*b + 33. What is o(-3)? -42 Let w(n) = -n**2 + 10*n. What is w(17)? -119 Let s(d) = d**3 - 18*d**2 - 53*d + 747. Determine s(19). 101 Let h(m) = -1042*m - 57291. Give h(-55). 19 Let z(q) = -1005*q - 6127. What is z(-6)? -97 Let c(f) = -f**2 + 3634*f - 25396. Give c(7). -7 Let o(h) = -285*h**3 + 5*h**2 - 6*h + 4. Calculate o(1). -282 Let r(d) = d**3 - 16*d**2 - 47*d + 226. Determine r(9). -764 Let q(z) = -z**2 - 10*z + 34. What is q(-14)? -22 Let b(a) = -a**2 + 10*a + 7. Give b(13). -32 Let b(h) = -6*h - 176. Calculate b(-26). -20 Let b(q) = -50*q - 351. Determine b(-7). -1 Let k(y) = -18*y**3 + y**2 - 2*y - 3. What is k(-1)? 18 Let w(c) = 2*c**3 - 2*c**2 - 112*c + 13. Calculate w(8). 13 Let j(w) = -w**3 - 14*w**2 - 16*w + 122. Calculate j(-11). -65 Let l(c) = -c**3 - 10*c**2 + 37*c + 250. Calculate l(-11). -36 Let s(l) = -3301*l - 6605. What is s(-2)? -3 Let x(f) = f**3 - 4*f**2 - 76*f - 20. Calculate x(11). -9 Let n(o) = -o**3 + 8*o**2 - 10*o - 6. What is n(8)? -86 Let o(a) = -a**3 - 42*a**2 - 28*a - 44. Determine o(-41). -577 Let i(u) = -5*u - 207. Give i(-5). -182 Let j(l) = -16*l**2 - 2*l + 10. Give j(0). 10 Let k(s) = 65*s - 4783. Give k(73). -38 Let k(p) = 110*p + 2742. What is k(-25)? -8 Let y(p) = -6*p**3 - 37*p**2 - 9*p + 8. Determine y(-6). 26 Let a(s) = -s**3 + 36*s**2 - 65*s - 117. What is a(34)? -15 Let n(q) = 189*q - 544. Calculate n(3). 23 Let j(i) = 17*i**3 - 3*i**2 + 2. Give j(1). 16 Let o(c) = c**2 + 111*c - 9577. Calculate o(57). -1 Let k(f) = -f**3 - 19*f**2 - 31*f - 3. Calculate k(-16). -275 Let h(o) = o**3 - 86*o**2 - 45*o - 3657. Determine h(87). -3 Let b(t) = 9*t**2 + 45*t + 12. Calculate b(-4). -24 Let d(z) = -z**3 - 54*z**2 + 50*z - 271. Give d(-55). 4 Let j(o) = o**2 + 14*o - 1548. Give j(-47). 3 Let s(l) = l**3 - 12*l**2 + 2*l - 25. Determine s(12). -1 Let l(o) = -3*o**2 + 256*o - 763. What is l(3)? -22 Let d(m) = m**3 + 33*m**2 + 57*m + 43. What is d(-31)? 198 Let o(s) = 62*s + 71. Give o(0). 71 Let q(n) = -2*n**3 + 94*n**2 - 13*n + 613. Give q(47). 2 Let f(x) = -x**3 - 112*x**2 - 326*x - 11676. Give f(-110). -16 Let m(w) = -272*w + 4269. What is m(16)? -83 Let g(l) = 114*l**2 - 15*l - 9. Determine g(-1). 120 Let x(p) = 66080*p - 198241. What is x(3)? -1 Let t(l) = 97*l + 5452. What is t(-55)? 117 Let x(m) = 24*m - 127. What is x(6)? 17 Let p(q) = -3031*q - 3121. What is p(-1)? -90 Let t(i) = 32*i - 328. What is t(9)? -40 Let v(c) = 50*c - 5859. Give v(117). -9 Let l(t) = -198*t + 2185. Calculate l(11). 7 Let x(a) = a**2 - 175*a - 7115. Calculate x(-34). -9 Let p(t) = 3175*t + 22224. Calculate p(-7). -1 Let g(q) = -6*q**2 + 63*q - 150. Calculate g(4). 6 Let d(q) = 3*q**3 + 32*q**2 - 12*q - 22. Calculate d(-11). -11 Let y(f) = 38*f - 50. What is y(4)? 102 Let f(a) = -3*a**2 - 142*a + 7. What is f(-47)? 54 Let t(o) = o**3 + 9*o**2 + 4*o + 28. Determine t(-7). 98 Let o(k) = -595*k - 3572. What is o(-6)? -2 Let n(i) = i**2 - 63*i - 1453. Calculate n(81). 5 Let z(c) = -c**3 + 7*c**2 - 21*c - 28. What is z(-1)? 1 Let c(p) = -35*p**2 + 580*p + 50. Give c(16). 370 Let d(c) = 35*c - 702. Determine d(19). -37 Let s(g) = 2*g**3 - g**2 + 8*g - 13. Calculate s(0). -13 Let i(r) = 6*r**2 - 73*r - 319. What is i(-6)? 335 Let g(n) = -3326*n + 19897. What is g(6)? -59 Let n(p) = 7*p**2 - 92*p + 5. What is n(13)? -8 Let u(t) = 89*t**2 + 125*t - 124. Determine u(1). 90 Let k(s) = 10*s**3 + 2*s**2 + 3*s + 2. Give k(-1). -9 Let o(h) = 886*h + 9779. Give o(-11). 33 Let m(x) = -x**2 - 29*x - 154. Give m(-24). -34 Let h(d) = -35*d**2 - 34*d + 98. Give h(2). -110 Let d(b) = -b**2 + 68*b + 1149. Determine d(-14). 1 Let j(m) = -m**3 - 11*m**2 + 82*m - 23. Determine j(-16). -55 Let b(x) = 3*x**2 + 160*x - 4034. Determine b(-72). -2 Let l(x) = x**2 + 35*x + 182. What is l(-16)? -122 Let a(c) = -c**3 + 2*c**2 - c + 13. Give a(-5). 193 Let b(t) = -1296*t - 7. What is b(0)? -7 Let k(w) = 66*w - 1595. Determine k(24). -11 Let m(u) = 5*u**2 + 57*u + 110. What is m(-2)? 16 Let a(d) = -6*d**3 + 31*d**2 - 7*d + 3. Calculate a(5). -7 Let i(a) = -a**2 - 107*a - 1008. Determine i(-9). -126 Let w(r) = -18*r**2 + 196*r - 32. Give w(11). -54 Let q(s) = -190*s + 2618. Determine q(13). 148 Let k(i) = 180*i - 6512. Give k(35). -212 Let l(g) = -8*g + 25. What is l(6)? -23 Let m(t) = t**2 - 125*t - 284. What is m(129)? 232 Let m(b) = -74*b - 7259. Give m(-98). -7 Let c(z) = 2*z**3 - 25*z**2 + 18*z - 67. Determine c(11). -232 Let q(t) = -1271*t - 3835. Determine q(-3). -22 Let c(w) = -w**3 + 19*w**2 + 37*w + 123. Determine c(21). 18 Let x(g) = 2*g**2 - 26*g - 148. Determine x(-5). 32 Let j(i) = -i**3 - 15*i**2 - 4*i + 135. What is j(-14)? -5 Let c(o) = -71*o - 842. What is c(-14)? 152 Let w(b) = -b**3 - 7*b**2 + 39*b + 157. Give w(-9). -32 Let x(z) = -2*z**2 + 35*z - 144. Determine x(6). -6 Let w(v) = 3*v**2 - 42*v + 289. Give w(6). 145 Let r(j) = -j**3 - 21*j**2 + 32*j - 232. What is r(-23)? 90 Let l(b) = 420*b + 3356. Calculate l(-8). -4 Let a(o) = -6*o**2 - 12*o - 2. What is a(8)? -482 Let v(o) = -2*o**3 + 9*o**2 + 93*o - 147. Calculate v(9). -39 Let o(v) = 77*v + 526. Determine o(0). 526 Let o(b) = -b**3 + 81*b - 1. What is o(9)? -1 Let x(u) = -7*u - 292. Calculate x(-52). 72 Let i(n) = -n**3 + 3*n**2 + 12*n - 13. What is i(4)? 19 Let d(u) = -65*u - 264. Calculate d(-4). -4 Let n(h) = 2*h**2 - 179*h + 179. What is n(1)? 2 Let p(x) = -3*x**3 + 45*x**2 + 40*x + 1
{ "pile_set_name": "DM Mathematics" }
, 2? -2 What is the fifth smallest value in 2/1043, 17, -1/2, 212, 16? 212 Which is the third biggest value? (a) 2 (b) -0.6 (c) 0.4 (d) -4/3 (e) -70.194 b Which is the fifth biggest value? (a) 182/9 (b) -0.3 (c) 0.04 (d) 0.2 (e) 2 (f) 7 (g) 0 c Which is the second biggest value? (a) -1.59 (b) 1/3 (c) 0 (d) -1 (e) -1.276 c Which is the third biggest value? (a) -9/11 (b) -1508 (c) -4 (d) 0.2 (e) -1/4 (f) 0.5 (g) 0.1 g Which is the third biggest value? (a) -2114 (b) 1 (c) 21 a Which is the fifth biggest value? (a) -0.3 (b) -4/65 (c) -22 (d) 5 (e) 1 (f) 1/7 (g) 0.1 b What is the second smallest value in 36, 1/71, 21407? 36 What is the biggest value in -8, 15/4, 2/76359, -4? 15/4 Which is the fifth smallest value? (a) 8 (b) 2/1063 (c) 2/9 (d) -1/3 (e) -47 (f) 1/3 f Which is the smallest value? (a) 3/146 (b) -2 (c) -0.14 (d) -4 (e) 5 (f) 1/19 d What is the fifth biggest value in 157/2, -0.5, 52, 4, -3/4, -13? -3/4 Which is the fourth smallest value? (a) 173 (b) -0.1 (c) 0.4 (d) 2 (e) 1 (f) 36 d What is the fifth smallest value in 1.5, 0.5, -0.2, 19, 1/4, 2/131? 1.5 Which is the third biggest value? (a) 1059 (b) 3 (c) 7/3 (d) -2/11 c Which is the third biggest value? (a) -3/5 (b) -1/5 (c) 5/6 (d) 1/742 (e) -1/8 (f) 5 d Which is the fifth biggest value? (a) -2 (b) 43 (c) 1 (d) 0.5 (e) 0.34 (f) -4 a What is the fifth smallest value in -0.3, 2, 4, -1, -73585, -4, 16.5? 2 Which is the smallest value? (a) 0.03 (b) 3 (c) -0.14 (d) 0.3 (e) -24 e Which is the third biggest value? (a) 68 (b) -42.64 (c) 1.3 (d) -5 d What is the third smallest value in 15, -3, 369, -9, 2, -0.1, -1/7? -1/7 What is the third biggest value in 20322, -2/27, 3/8, -0.4, -3? -2/27 What is the biggest value in -6.2, 26, -4, 10/231? 26 Which is the sixth smallest value? (a) -5 (b) -0.3 (c) 15 (d) 174/19 (e) 3 (f) 51 f What is the fifth smallest value in -12, 44, -4, 3, -6, -0.05, 2/7? 2/7 Which is the third smallest value? (a) -98 (b) 3 (c) -2 (d) -68 (e) 0.23 c What is the second smallest value in 1/5, 0.9, 14, 0.5, -2/15, 11, -214? -2/15 What is the sixth biggest value in 2, -4/5, 46426, 5, -4, -3/7? -4 What is the third smallest value in 0.002, 4, 1/409, 5, 2? 2 What is the second biggest value in -20, 125, 1/7443, -1? 1/7443 Which is the third biggest value? (a) -1/2 (b) -0.04835 (c) -0.8 (d) 0 (e) -3 (f) 0.13 b What is the fourth biggest value in 2/51, -0.1, -1, -232, -24, 2? -1 Which is the second smallest value? (a) -0.12 (b) 0.44 (c) -2449 a Which is the second biggest value? (a) -18 (b) 2.948 (c) 75 b Which is the third smallest value? (a) -5 (b) -3395309 (c) 21 c What is the fifth smallest value in -38, -4, 0.07, 1/128, 0? 0.07 What is the second smallest value in -3/2, -0.4, -0.1, -11, 1, 2/15, -1.6? -1.6 What is the fourth smallest value in 5, -6.7, -1868/5, -7? 5 What is the fourth biggest value in 4, 0, 207.2, -51743? -51743 Which is the smallest value? (a) 0 (b) 68116 (c) 6 (d) -5 d What is the second biggest value in -6, 4796.3403, -2? -2 What is the second smallest value in 4, -2/53, -2, -2/41, -0.12, -0.2, -0.1? -0.2 Which is the sixth biggest value? (a) 8 (b) 49/4 (c) -1/2 (d) 3/44 (e) -1 (f) 3/4 (g) 0.3 c What is the second smallest value in 2.41, -3, -0.12, -0.4, -247/4? -3 Which is the second biggest value? (a) -4 (b) -0.5 (c) -135/22 (d) 7.9 (e) 22 (f) -2/7 d Which is the third smallest value? (a) 0 (b) -1/8 (c) 41.574 (d) -2/3 a What is the sixth smallest value in -11, 0.1367, 1, -1/5, -15, 0.5? 1 Which is the third biggest value? (a) -2/17 (b) -2/3 (c) -5 (d) -0.128 (e) -2/29 (f) -0.6 d Which is the fourth smallest value? (a) 26.1 (b) -0.1 (c) -3/5 (d) 2/15 (e) 1 (f) 37/3 e What is the third biggest value in -0.0324, 227, 7/3, -3.3? -0.0324 What is the biggest value in -2438, -2, -5, -1/5, -3, -3/4? -1/5 Which is the fourth smallest value? (a) -4 (b) 5 (c) -121863 (d) -0.2 b Which is the seventh smallest value? (a) 2/5 (b) 110 (c) 0.2 (d) 1.4 (e) 0 (f) 2/9 (g) 52 b What is the biggest value in 1.306, -0.4, -6/7, -4, -2/3? 1.306 What is the fourth biggest value in -4.5, 4, -11, 4458, 0.5? -4.5 What is the fourth smallest value in -4, 0.559, -113, 44? 44 What is the fourth biggest value in -1.58, 278, -4, 0.5, -1, 3/7? -1 What is the second smallest value in -0.1, 0.09, -3268, -3, -0.3, -1? -3 Which is the biggest value? (a) 0.02 (b) -0.02 (c) -6 (d) 1/5 (e) -523/8 d Which is the smallest value? (a) -2/31 (b) 3 (c) -0.4 (d) -2/45 (e) -1 (f) 7/3 (g) 4.4 e What is the fifth smallest value in 2/7, 0.046, -2/157, 4, 67, -1/8, -0.4? 2/7 What is the second smallest value in 5, 1/11, 7, -6915, 3/2? 1/11 Which is the smallest value? (a) -0.2083 (b) -19 (c) 6/5 b What is the fourth biggest value in -14, 10, 1145161, 0? -14 Which is the third smallest value? (a) 1/2 (b) -0.9 (c) -1/3 (d) -0.2 (e) 8 (f) -18763 c Which is the fifth smallest value? (a) -5/3 (b) 0.09 (c) -4 (d) -0.23 (e) 0 (f) 15/7 b Which is the fourth smallest value? (a) 470 (b) -0.2 (c) -0.3 (d) 37.5 a What is the third biggest value in -3, 7, -2/1041, 2/15, -2/25? -2/1041 Which is the smallest value? (a) 0.4 (b) 2559 (c) -4/3 (d) 0.3 (e) 4/7 (f) -6/37 c Which is the fourth biggest value? (a) 4924/3 (b) -1/7 (c) 5 (d) -3/5 (e) -3 (f) 1/33 b Which is the third biggest value? (a) -0.04 (b) 0.3 (c) -824.476 (d) -2/31 (e) -0.1 d Which is the third smallest value? (a) 256 (b) 11211 (c) -2 b Which is the fourth biggest value? (a) 9.1885 (b) -0.2 (c) 2 (d) 16 (e) -5 (f) -2 b What is the third biggest value in -224/47, 0.325, -2/27? -224/47 Which is the biggest value? (a) 5/4 (b) 6 (c) 1/5 (d) -5 (e) -2.88 (f) -1/30 b Which is the third biggest value? (a) 1 (b) 5 (c) 79.26 (d) 3 (e) 2/9 (f) 4 f What is the third smallest value in -21, -1.1, 238.2? 238.2 Which is the sixth biggest value? (a) -2.2 (b) -8 (c) 3 (d) 0.5 (e) 0.319 (f) 1 (g) 2/3 a Which is the fourth smallest value? (a) -0.4 (b) -7 (c) -0.2 (d) -11 (e) 284 c Which is the fifth smallest value? (a) 0.1 (b) -0.61 (c) -2 (d) 2/9 (e) -826/9 d Which is the third smallest value? (a) 0.289 (b) 0.038 (c) 2/203 a Which is the fifth biggest value? (a) 0 (b) 69 (c) -4 (d) -2/7 (e) 4 (f) 1/6 (g) 2 a Which is the smallest value? (a) 3/23 (b) 13.8 (c) -2 (d) -1/3 (e) -6/7 c Which is the fourth biggest value? (a) -107 (b) -2/19 (c) -5 (d) -2/343 (e) 16 c What is the second biggest value in 2/25, 0, 46978/7? 2/25 What is the second smallest value in -2/11, -0.3421, 52, -1/6, -0.2? -0.2 What is the biggest value in -1/2, -1, -0.3, 12382630? 12382630 Which is the third smallest value? (a) 5 (b) 0.167 (c) -1 (d) 2/1355 b What is the fifth biggest value in -5, -0.05, 2, -4, 4/23, -1/4, -0.2? -1/4 What is the third biggest value in -11324, 1231/2, 1/3? -11324 Which is the second biggest value? (a) 2043916 (b) 5 (c) 0 b What is the fourth biggest value in 2, -23437, -0.7, -1, -4, -1/5? -1 Which is the second biggest value? (a) -123833 (b) 3/4 (c) 0.1 (d) 0.6 d Which is the third smallest value? (a) -3 (b) 0.0822 (c) 34 (d) 18 (e) -3/7 b What is the fifth smallest value in -1/112, -1, -2, 391, 0.4? 391 Which is the fourth biggest value? (a) 387 (b) 3/7 (c) -0.4 (d) 1.876 (e) -1 c What is the seventh smallest value in -2, 2/19, 0.5, 0.1, 0.3, 5, 9? 9 What is the second biggest value in -5, -2/21, -1/11, 0.4, -4, -12, 0.07? 0.07 What is the fifth biggest value in 223, 2/7, 78.92, -2/17, 1? -2/17 What is the fifth biggest value in 25940, -1, 1.4, 1/9, 0.3? -1 Which is the third smallest value? (a) -284 (b) -1/3 (c) -1.5082 b What is the smallest value in -1/17, -5.3, -38, 47? -38 What is the biggest value in -1/3, -5, -231, 28, -0.1, -2? 28 Which is the fifth smallest value? (a) 0.069 (b) 1 (c) 1/6 (d) 0.5 (e) -2/7 (f) -6 d What is the fourth biggest value in -36, -1, -4, 8/8391? -36 Which is the third smallest value? (a) 38 (b) -373 (c) 66 c What is the biggest value in -2690507, 2/7, 2? 2 What is the third smallest value in -4.8, -9, 1, 717? 1 Which is the fourth biggest value? (a) -11 (b) -6
{ "pile_set_name": "DM Mathematics" }
-0.02 + 0.42. Let v = -0.6 - r. Let x = 263 - 262.99. What is the second smallest value in -3, x, v? v Suppose -4*d + 17 + 31 = -5*u, -2*u - 15 = -d. What is the second biggest value in 4, 0.2, d, -0.2? 4 Let l(v) = v**3 - 6*v**2 - 17*v + 65. Let i be l(7). Which is the fourth smallest value? (a) -0.3 (b) i (c) 2 (d) -0.1 c Let l = -1082 - -1080.9. Which is the second smallest value? (a) 4 (b) -1.5 (c) -2 (d) l b Let m = 179 - 188. Let k = -3/37 + 58/259. What is the biggest value in k, -3/5, m? k Suppose 8*o + 6*o = -56. Let d = 9.1 + -8. Which is the second smallest value? (a) -0.1 (b) d (c) o a Let x = -2.6 - 0.5. Let n = -2.7 - x. What is the smallest value in -0.2, -1/2, n? -1/2 Suppose 285*k - 48 = 297*k. Which is the third biggest value? (a) k (b) 38 (c) -3 a Let g = -61.5 - -62. What is the third biggest value in g, 2, 3, -1/10? g Let l = -5.12 + 0.12. Let t = 5.61 - 0.51. Let x = -0.1 + t. What is the second smallest value in l, 0.5, x? 0.5 Let u = -177 + 175. Which is the third smallest value? (a) -2/29 (b) 0.5 (c) u b Let j = 2/141 + 415/564. What is the third smallest value in -3, j, 0.1? j Let k = -8.88 - -13.88. Which is the fourth biggest value? (a) -5 (b) k (c) 71 (d) -0.2 a Let z = 2273/3036 + 1/759. Which is the fourth biggest value? (a) z (b) -2/21 (c) -0.07 (d) -1/6 d Suppose -2*d + 8*d = 138. Suppose 0 = -5*v + 23 - d. Let y be 4/6 - (-5)/(-3). What is the biggest value in y, v, -5? v Let r = 136/945 - 2/189. Let y be (-6)/(-10)*(-3)/(-81). Let n = y - -1/5. What is the second smallest value in -2/3, n, r? r Suppose 0 = -31*y - 9 + 40. Suppose 23 = 2*g + 3*g - 3*x, -4*x + 16 = 0. What is the biggest value in 3, y, 0.4, g? g Let q = -3 + -15. Let p = q - -11. Let z = -6.7 - p. Which is the second biggest value? (a) 4 (b) 1/4 (c) z c Let o = 834.9 + -835.1. Let z = -0.05 + 0.35. What is the third smallest value in o, 2, z? 2 Let x = 1/260 + 3/20. Let m = 22.3 + -26. Let v = 4 + m. Which is the third biggest value? (a) x (b) v (c) 2 a Let w = 226654 + -3850940/17. Let p = w + -128. Let h = 0.1 - 0.6. Which is the smallest value? (a) h (b) 1 (c) p a Let d = -30.1238 + 0.1238. Which is the second smallest value? (a) 0.1 (b) d (c) 1/3 a Suppose 504*o + 30 = 510*o. Which is the third biggest value? (a) -0.1 (b) o (c) -46 (d) 1/12 a Let n = -7.6 - -4.6. Let c = -10/11 - -8/33. What is the second biggest value in c, 10, 1, n? 1 Suppose v = 2*v - 12. Suppose -v = -2*t + t. Let g(f) = f**2 - 12*f + 3. Let z be g(t). Which is the biggest value? (a) z (b) -3 (c) 4 c Let h be (-5 + -1)*(-5)/(-10) - 22. Which is the third biggest value? (a) 0 (b) -5 (c) -4 (d) h b Let s be 12/(-8)*(-6)/27. Let j = 0.96 + 0.04. Let d = -2 + 2. What is the third biggest value in j, s, d? d Let f = 253 + -253.119. Let k = 0.119 + f. What is the biggest value in k, 0.1, -0.02? 0.1 Let t = -0.09 - -0.19. Let z = 1968/3487 - 6/317. Which is the smallest value? (a) t (b) z (c) 4 a Let h = 0.24 - -0.06. Let x = -0.343 - -0.043. Which is the second smallest value? (a) -0.5 (b) h (c) x c Let j = 175/303 + 9/101. Which is the fourth smallest value? (a) j (b) 3 (c) -1/4 (d) -1/120 b Let l = 275.6 - 276. What is the second smallest value in 6/17, 1/6, 0, l? 0 Let z = -2 + 6. Let d(q) = -q**2 + 6*q + 5. Let m(w) = 3*w - 11. Let i be m(6). Let o be d(i). What is the third biggest value in z, o, 1/10? o Let s = 1279 + -1289. Which is the second biggest value? (a) -0.2 (b) s (c) 1/5 (d) -2 a Let t = -288 + 164. Which is the third biggest value? (a) 0.2 (b) t (c) -4/3 (d) 4/3 c Let s be (-3)/(-4) - 34/24. What is the second smallest value in -6, s, 1/3? s Let p = -135 + 134.8. What is the fourth biggest value in 44, p, 2, 4? p Suppose 0 = n + 5*b + 16, 11 = 5*n - 2*b + 10. What is the third biggest value in -190, n, 5? -190 Let u = 290.9 - 292. What is the second smallest value in 2/23, -2, u? u Suppose s = 2*s - 1. Let w = -0.079 + 0.229. Let f = -0.15 + w. What is the biggest value in s, 0.3, f? s Let i(z) = -3*z**2 + 76*z + 51. Let h be i(26). Which is the second biggest value? (a) -1/8 (b) 0.5 (c) h a Suppose 0 = 2*z + 3*q + 20, 5*q = -0*z + 5*z. Suppose 0 = -2*x + 5*x + 330. Let o be (-6)/(-33) + (-112)/x. Which is the smallest value? (a) 3/7 (b) z (c) o b Let u be 4/(-10)*(3304/(-294) + 11). Let o = 0.04 - 0.44. Which is the third smallest value? (a) u (b) -1/2 (c) o a Let n = 170 - 844/5. Let g = 15.1 - 14.8. Which is the second biggest value? (a) g (b) -5 (c) 2/3 (d) n c Let g(p) = p**3 + p**2 + 17. Let j be g(-3). Let k = -2.29 + 0.29. What is the third smallest value in k, -0.1, j? -0.1 Let l = -104.7 - -105. Suppose -3*n + 10 = 1. Let g be n - 1/((-2)/(-6)). Which is the smallest value? (a) l (b) -5 (c) g b Let h = -14 - -27. Let x = -8 + h. Let q = -0.1 + -0.2. What is the smallest value in 2/5, q, x? q Let s = 207 + -207.6. Which is the third biggest value? (a) -0.4 (b) s (c) 4 b Let r = -0.81 + 0.9. Let q = -1021 + 6127/6. Which is the third biggest value? (a) 0.5 (b) r (c) q b Let o = 9 + -5. Let x be -20*(-14)/(-5775) - (-2)/(-15). Which is the second smallest value? (a) x (b) o (c) 0.2 (d) 0.5 c Let s = 0.5 + -0.6. Let o(n) = 2*n + 23. Let t be o(-7). Suppose -t*x - 31 - 5 = 0. Which is the third smallest value? (a) x (b) -2/41 (c) s b Let z = 4 - 6. Let o(h) = -h**3 - 71*h**2 - 201*h + 206. Let t be o(-68). What is the smallest value in 0.3, z, t, 4? z Let p = 2.67 + 9.43. Let q = p - 12. Let i = q + -0.15. Which is the second biggest value? (a) i (b) -3/5 (c) -2 b Let t = -1.289 + 1.489. Which is the fourth smallest value? (a) 18 (b) t (c) 0 (d) 5 a Let m = 0.8 - 3.8. Let l = -0.419 + 0.019. Let y be (-2)/(-3)*42/(-4). What is the second biggest value in m, y, l? m Let z = -0.15 + 35.15. Let d = 34 - z. What is the second biggest value in d, 3/11, 2/3? 3/11 Let h be (6/32)/(6/72). What is the third biggest value in 1, -3/7, h, 0? 0 Suppose b + 2 = -b. Let r be (6 + -1)/((-1)/b). Let m be (20/18)/(22/(-33)) + 1. What is the second biggest value in -2/11, r, m? -2/11 Let g(h) = 2*h**2. Let o be g(-1). Let i(p) = -6*p + 9. Let k be i(o). Let m be 2/7 - 33/(-7). Which is the third biggest value? (a) m (b) 1/2 (c) k c Let r = -0.03 + 4.03. What is the fourth biggest value in r, 47, 5/3, 1? 1 Let z = -1064 - -1060. What is the second biggest value in z, 0.1, 117? 0.1 Let o be 3/12 - (-5948)/(-528). Let k = -65/6 - o. What is the smallest value in 2/15, 4, k? 2/15 Let z = 56 + -54.45. Let y = z - -0.45. What is the fourth biggest value in -4, y, -3/2, 2/3? -4 Let a = 0.3 + -0.4. Let v = -58.053 + 58. Let n = v + -0.947. What is the third smallest value in n, 0.4, a? 0.4 Suppose o + 4 = 33. Let i = o - 22. Let u(t) = t**3 + 4*t**2 + 3*t + 2. Let n be u(-3). What is the second biggest value in -0.3, i, n? n Let q be (22/6 - 1)/(1/15). Let b be 6/(-8) + 14/q. What is the second smallest value in b, 0.2, -0.1, -1? b Let o = -44 + 45. Suppose -17 = 13*r + 35. Which is the fourth biggest value? (a) o (b) -0.7 (c) r (d) -0.4 c Let j = -1985/4 - -496. Which is the second biggest value? (a) j (b) 0 (c) -1/2 (d) 0.2 b Let z = -1270 - -1269.5. Which is the third biggest value? (a) -3 (b) 2 (c) -4 (d) z a Let u = 1.3 - 1.7. Suppose 3*b + 4*j + 29 = 0, -2*j = -2*b - 6*j - 26. What is the biggest value in b, u, 3? 3 Let g = 2.27 + -1.87. Which is the smallest value? (a) -1 (b) 3 (c) g a Let o be -36*((-6)/(-9) + (4 - 4)). Let i be (-32)/o*(-1)/(-3). What is the biggest value in -5, -2/3, -4, i? i Let f = 2.51 + -4.29. Let i = 0.78 + f. Let v = -1 - -0.6. Which is the third smallest value? (a) i (b) 1 (c) v b Let r = 0.5219 + -0.1219. Which is the biggest value? (a) 3/5 (b) r (c) 9/7 (d) 2 d Let l = -0.17 - 0.23. Let k = -34 + 34. What is the smallest value in l, k, -1? -1 Let z = 3 - 0.8. Let n = -2.1 + z. Let x = n + 0.1. What is the second smallest value in -2/21, -0.5, x? -2/21 Let d = 9 - 9.02. Let b = d + -0.18. What is the biggest value in b, -2, 8? 8 Let v = 3 - 3.06. Let i = 12397/15 - 2480/3. What is the biggest value in 5, v, i, -4? 5 Let s = 4 + -4. Suppose 0*b - 2 = 2*b. Let w be 80/25 - b/(-5). What is the second biggest value in
{ "pile_set_name": "DM Mathematics" }
1/60 What is prob of sequence dxv when three letters picked without replacement from {x: 4, f: 3, d: 1, v: 11}? 22/2907 Three letters picked without replacement from yhxxcvxhxxyhxx. What is prob of sequence hhx? 1/52 Calculate prob of sequence ai when two letters picked without replacement from ioaioiaoadtoqqtiqaao. 1/19 Three letters picked without replacement from {j: 5, c: 2}. What is prob of sequence cjc? 1/21 Calculate prob of sequence ky when two letters picked without replacement from yytk. 1/6 Four letters picked without replacement from kdkpkpkkgdppddd. What is prob of sequence dpkg? 5/1638 Three letters picked without replacement from {z: 3, a: 1, l: 2, x: 4, s: 1, y: 4}. What is prob of sequence lxx? 4/455 Three letters picked without replacement from {o: 1, m: 1, w: 1, c: 1, e: 1}. What is prob of sequence moc? 1/60 What is prob of sequence hq when two letters picked without replacement from hqhhhhhhhhhh? 1/12 What is prob of sequence iyyi when four letters picked without replacement from {y: 4, i: 3, k: 4}? 1/110 What is prob of sequence pp when two letters picked without replacement from dapddppdwd? 1/15 Calculate prob of sequence aak when three letters picked without replacement from akaas. 1/10 What is prob of sequence qwgw when four letters picked without replacement from gqqwqwq? 1/105 Calculate prob of sequence ri when two letters picked without replacement from {k: 5, r: 2, i: 3}. 1/15 What is prob of sequence lll when three letters picked without replacement from {l: 5, d: 2}? 2/7 Calculate prob of sequence ffff when four letters picked without replacement from {f: 10}. 1 Calculate prob of sequence qrl when three letters picked without replacement from rrqlrlrrrfrlll. 5/312 Calculate prob of sequence vvv when three letters picked without replacement from vvv. 1 Calculate prob of sequence uuuy when four letters picked without replacement from {u: 8, y: 3}. 7/55 Two letters picked without replacement from jjjjjjjjjjjjjiijjjjj. What is prob of sequence ji? 9/95 What is prob of sequence fxf when three letters picked without replacement from {q: 5, x: 1, f: 4}? 1/60 Three letters picked without replacement from dcddxqdddcwqdxdcvd. What is prob of sequence cxx? 1/816 Four letters picked without replacement from wxxxxxxwpxxwxwwxwxw. Give prob of sequence wxxx. 385/5168 Three letters picked without replacement from {g: 8, i: 2}. Give prob of sequence gig. 7/45 Calculate prob of sequence qaaq when four letters picked without replacement from aqayayaqq. 1/42 Two letters picked without replacement from eeeeeeheeeeeeheeee. Give prob of sequence ee. 40/51 What is prob of sequence ov when two letters picked without replacement from wwjlwjjwojllljjvjdw? 1/342 Three letters picked without replacement from {u: 2, s: 6}. What is prob of sequence ssu? 5/28 Two letters picked without replacement from sgsggggssgggggsssgg. Give prob of sequence gg. 22/57 Three letters picked without replacement from iriffffffrffrrfirir. Give prob of sequence rff. 24/323 What is prob of sequence dzd when three letters picked without replacement from {i: 3, d: 4, p: 2, z: 9}? 3/136 Four letters picked without replacement from {e: 2, a: 3, p: 3}. What is prob of sequence paae? 3/140 Two letters picked without replacement from cydluuq. Give prob of sequence lq. 1/42 What is prob of sequence zgg when three letters picked without replacement from {z: 3, g: 2}? 1/10 Calculate prob of sequence xc when two letters picked without replacement from {x: 7, g: 6, c: 4, h: 1}. 14/153 Two letters picked without replacement from {c: 4, a: 3}. Give prob of sequence cc. 2/7 Two letters picked without replacement from {n: 4, m: 1, h: 6}. What is prob of sequence hm? 3/55 Calculate prob of sequence hih when three letters picked without replacement from {a: 2, h: 2, c: 1, i: 5, g: 2, q: 1}. 5/858 What is prob of sequence vvzr when four letters picked without replacement from zvvzrr? 1/45 Two letters picked without replacement from uunnnnnnusnzzpnnnnl. Give prob of sequence zn. 11/171 Four letters picked without replacement from ctancctcnntaacccatc. What is prob of sequence ttnc? 1/323 Three letters picked without replacement from {p: 1, v: 1, w: 1, a: 1, k: 1}. Give prob of sequence vpk. 1/60 Two letters picked without replacement from aaaaaaacaaacwaaaa. Give prob of sequence aa. 91/136 Two letters picked without replacement from {b: 3, l: 11}. What is prob of sequence bl? 33/182 Three letters picked without replacement from ceecccc. What is prob of sequence ecc? 4/21 Two letters picked without replacement from wuuxufcwexcxw. Give prob of sequence uf. 1/52 Three letters picked without replacement from {x: 1, m: 8, z: 1, b: 3, a: 4}. Give prob of sequence bax. 1/340 Two letters picked without replacement from iipiu. Give prob of sequence ip. 3/20 Calculate prob of sequence im when two letters picked without replacement from iinniivmniiiinnniii. 11/342 What is prob of sequence mws when three letters picked without replacement from yiiwwxxwyyyismxmxiiy? 1/1140 Two letters picked without replacement from {n: 3, c: 4}. What is prob of sequence cn? 2/7 What is prob of sequence smg when three letters picked without replacement from {s: 1, m: 2, o: 10, g: 1}? 1/1092 What is prob of sequence oogg when four letters picked without replacement from poloploglaogoglo? 3/728 Three letters picked without replacement from einizneiein. Give prob of sequence ine. 2/55 Two letters picked without replacement from {d: 7, o: 1}. What is prob of sequence do? 1/8 Four letters picked without replacement from iiigagiri. What is prob of sequence aggi? 5/1512 Three letters picked without replacement from hzkhhhkkhzkkkkhkz. Give prob of sequence hzh. 3/136 Three letters picked without replacement from {x: 7, n: 9}. What is prob of sequence nnx? 3/20 Two letters picked without replacement from mmcfetmmtmtmffmtmmf. Give prob of sequence tc. 2/171 Calculate prob of sequence qpv when three letters picked without replacement from {m: 1, r: 1, p: 1, v: 3, q: 11, z: 2}. 11/1938 Calculate prob of sequence hchc when four letters picked without replacement from chcccchccccccccccccc. 1/190 Calculate prob of sequence epp when three letters picked without replacement from pppjpvqvqjmppev. 1/91 What is prob of sequence xyu when three letters picked without replacement from {x: 6, y: 3, u: 2, j: 1, a: 1}? 3/143 Two letters picked without replacement from {z: 1, y: 8, g: 9, a: 2}. What is prob of sequence ga? 9/190 What is prob of sequence cc when two letters picked without replacement from {t: 7, c: 5}? 5/33 What is prob of sequence sq when two letters picked without replacement from sqanna? 1/30 Calculate prob of sequence piph when four letters picked without replacement from {p: 4, i: 1, h: 3}. 3/140 Two letters picked without replacement from {l: 4, z: 5, v: 2}. Give prob of sequence zv. 1/11 Three letters picked without replacement from ijjojiiopjooiijx. Give prob of sequence jpj. 1/168 What is prob of sequence yeyo when four letters picked without replacement from nnohvvyvvnennnyen? 1/14280 Four letters picked without replacement from {o: 17, k: 1}. Give prob of sequence okoo. 1/18 Two letters picked without replacement from ohhn. What is prob of sequence oh? 1/6 What is prob of sequence rs when two letters picked without replacement from sfrfrs? 2/15 What is prob of sequence oa when two letters picked without replacement from coqaoa? 2/15 Four letters picked without replacement from {e: 1, s: 3, p: 6, d: 9}. Give prob of sequence pppe. 5/3876 Two letters picked without replacement from {v: 1, i: 3, k: 2, r: 9, y: 2}. What is prob of sequence ik? 3/136 Calculate prob of sequence kknk when four letters picked without replacement from nkkhhhkkk. 5/252 What is prob of sequence ekx when three letters picked without replacement from ennxnnnkn? 1/504 Three letters picked without replacement from qpqqqqqppqpqqpqqzq. What is prob of sequence zpq? 5/408 What is prob of sequence gigi when four letters picked without replacement from {h: 1, g: 3, z: 1, i: 2}? 1/70 What is prob of sequence kok when three letters picked without replacement from kkpokkppkopnko? 15/364 Calculate prob of sequence xf when two letters picked without
{ "pile_set_name": "DM Mathematics" }
n**2 - 6*n - 3. Let k(l) = -24*p(l) - 3*q(l). Let x(y) = -49*y**2 + 2*y - 2. Determine 2*k(g) + 9*x(g). -51*g**2 Suppose -3*v = 5*h - 21, -2*h - 4 = 79*v - 84*v. Let g(l) = 3*l**2 + 2*l - 4. Let x(f) = -3*f**2 - 2*f + 3. Give h*x(j) + 4*g(j). 3*j**2 + 2*j - 7 Let k(c) = -20*c + 52. Let z(v) = -82*v + 212. What is -25*k(d) + 6*z(d)? 8*d - 28 Let l(m) = -4*m + 2. Let t be 8/6*(3 + -6). Let z(b) be the first derivative of 80 + b - 1/2*b**2. Give t*z(u) + 2*l(u). -4*u Suppose 0 = -3*f + k + 4*k - 41, -3*k + 33 = -3*f. Let y(a) = 3*a - 1. Let r(x) = -10*x + 2. Suppose -5*l = 3*c - 3 - 1, 8 = -3*c + l. What is c*r(b) + f*y(b)? -b + 3 Let q = -4 + 1. Let s be ((-10)/15*12)/(2/(-3)). Let a(b) = -19*b**3 + 11*b**3 + s*b**3 + 3*b**2 + 3. Let d(f) = -5*f**3 - 4*f**2 - 4. What is q*d(w) - 4*a(w)? -w**3 Let k(v) = 9*v**3 - 2*v**2 + 8*v + 135. Let o(g) = 5*g**3 + 4. Calculate k(z) - 2*o(z). -z**3 - 2*z**2 + 8*z + 127 Let f(i) = -49489*i + i**3 + 49489*i. Let k(y) = -4*y**3. Give -18*f(w) - 4*k(w). -2*w**3 Let o(f) = -50 + 125 - 76. Let q(g) = 46*g - 8. Give -6*o(b) + q(b). 46*b - 2 Let d(m) = -160*m + 1. Let g(w) = 810*w - 5. Calculate -11*d(z) - 2*g(z). 140*z - 1 Let w(r) be the first derivative of r - 25673. Let f(v) be the second derivative of v**3/3 - 3*v**2/2 - v. What is f(o) + 4*w(o)? 2*o + 1 Let n(y) = 6*y**2 + 4*y - 6. Let i(m) = 2*m**2 + m - 2. Let w = -43355 + 43353. Calculate w*n(a) + 7*i(a). 2*a**2 - a - 2 Let w(s) = -38*s**2 + 2*s - 8. Let b be 3/2 + 6955/1070. Let z(t) = 25*t**2 - t + 5. What is b*z(y) + 5*w(y)? 10*y**2 + 2*y Let k(h) = -h**2 + 4. Let n(z) = -1186*z**2 - 2*z + 20. Determine 5*k(r) - n(r). 1181*r**2 + 2*r Let q(f) = 4*f**3 - 7*f**2 + 2*f - 1. Let h(x) = 1 - 4553*x + 7*x**2 - 10*x**3 + 4550*x + 5*x**3 - 6*x**2 + 6*x**2. Give 2*h(o) + 3*q(o). 2*o**3 - 7*o**2 - 1 Let k(m) = -11*m**3 + 775*m**2 + 7*m. Let x(q) = -6*q**3 + 385*q**2 + 4*q. Calculate 4*k(v) - 7*x(v). -2*v**3 + 405*v**2 Let f = -1 + -1. Let i(z) be the second derivative of z**4/6 - 2*z**3/3 - z**2/2 - 17249*z. Let o(q) = -2*q**2 + 5*q + 1. What is f*o(v) - 3*i(v)? -2*v**2 + 2*v + 1 Let a(m) = 3*m**2 - 9*m + 7. Let j(y) = -8*y**2 + 19*y - 11. Give -7*a(r) - 3*j(r). 3*r**2 + 6*r - 16 Let i = 6169 + -6166. Let k(z) = z**2 - 3*z - 21. Let y(r) = r + 1. Determine i*y(m) + k(m). m**2 - 18 Let s(v) = -15209*v**2 + 469*v. Let y(x) = -65*x**2 + 2*x. Suppose 24*g + 58 = -0*g - 5*g. Calculate g*s(z) + 469*y(z). -67*z**2 Let y(d) = 66*d**3 - 19*d**2 - 8. Let l(x) = 3*x**3 - x**2 - 1. Let b(g) = -76*l(g) + 4*y(g). Let v(m) = m**3 + 1. Determine -4*b(s) + 176*v(s). 32*s**3 Let v(b) = -2*b + 3. Let i(z) = 3*z - 6. Let f(x) = 2*i(x) + 5*v(x). Let h = 114076 - 114079. Let u(o) = -5*o + 2. Calculate h*f(q) + 4*u(q). -8*q - 1 Let o(t) = -15*t**2 + 2247*t + 23. Let r(q) = -13*q**2 + 2249*q + 20. Determine -6*o(s) + 7*r(s). -s**2 + 2261*s + 2 Let l be ((-10)/4)/((-225)/810). Let b(t) = 4*t**3 + 1. Let q(y) = -17*y**3 - 5. Let v be (0 - 2) + 5 - (-14 - -15). Determine l*b(z) + v*q(z). 2*z**3 - 1 Let l(i) = -2*i**2 + 14*i + 3. Suppose -8*n - 5*n + 26 = 0. Let u be (-12)/24*(0 + 12/n). Let q(p) = -2*p**2 + 13*p + 2. Determine u*q(r) + 2*l(r). 2*r**2 - 11*r Let w(z) be the first derivative of -5*z**2 + 3*z + 2. Let c(y) be the first derivative of 15*y**2 - 10*y + 15718. Give 3*c(v) + 10*w(v). -10*v Let h(b) = b**3 + 5*b**2 - 42*b - 4. Let y(m) = -m**3 - 9*m**2 + 85*m + 8. What is 5*h(x) + 3*y(x)? 2*x**3 - 2*x**2 + 45*x + 4 Suppose -9*m = 5*j + 49, 5*m + 33 = -j + 4. Let x(u) = u. Let t(o) = -o**2 + 7. Determine j*t(z) + 2*x(z). -z**2 + 2*z + 7 Let i(u) = -8*u**2 + 2*u + 3. Let t(z) = 15*z**2 - 3*z - 6. Suppose p + 5 = v, 0 = -2*v - p - 11 + 18. Give v*t(l) + 7*i(l). 4*l**2 + 2*l - 3 Let r(q) = 2*q + 3. Suppose 4*x + 16 = -4*l, 0 = 5*l + 17*x - 15*x + 17. Let o(z) be the first derivative of -7*z - 5/2*z**2 - 2. Give l*o(y) - 7*r(y). y Let y(i) = i**3 - i**2 - i + 8. Let a(h) = -3*h**3 + 2*h**2 + 3*h - 23. Let u be (-3345)/(-1784) - (-39)/(-8). Determine u*a(l) - 8*y(l). l**3 + 2*l**2 - l + 5 Let z(d) = -34*d**2 - 4*d + 6. Let n = -28866 + 28877. Let a(m) = 68*m**2 + 7*m - 11. Give n*z(b) + 6*a(b). 34*b**2 - 2*b Let s(a) = -2*a**3 + 35*a**2 - 3*a - 8. Let g(m) = -2*m**2 - m + 1. What is 5*g(v) - s(v)? 2*v**3 - 45*v**2 - 2*v + 13 Let x(k) = -58*k**3 - 12*k - 2. Let d(f) = -57*f**3 - f**2 - 9*f - 2. Determine -4*d(c) + 3*x(c). 54*c**3 + 4*c**2 + 2 Let j = -7 - -11. Let d(o) = -j*o - o + o. Let f(i) = i + 1. Let c(z) = -d(z) - 3*f(z). Let g(r) = -2. Give 4*c(s) - 6*g(s). 4*s Let k(x) = 2*x**2 - 8*x + 4. Let f(p) = 2*p**2 + p + 18. Let a(n) = 4*n**2 - 6*n + 21. Let z(l) = -a(l) + f(l). Give -2*k(b) - 3*z(b). 2*b**2 - 5*b + 1 Let w(n) be the second derivative of -3*n**5/10 + n**4/12 - 5*n**3/6 - 72*n + 3. Let r(u) = u**3 + u - 1. What is 5*r(x) + w(x)? -x**3 + x**2 - 5 Suppose -b = o, 2*b - 29*o = -32*o - 3. Let z(j) = -181 + b*j**2 - 5*j**2 - j + 182. Let f(s) = s - 1. Determine 2*f(g) + 2*z(g). -4*g**2 Let y(d) = d**3. Let m be (-4)/(-30)*((-2701)/(-185) + 4/10). Suppose -6*l = -l - 15. Let q(c) = -2*c**3. Calculate l*q(h) + m*y(h). -4*h**3 Let u(h) = -7260*h**2 + 5*h + 10. Let p(c) = -10889*c**2 + 7*c + 14. Determine 5*p(v) - 7*u(v). -3625*v**2 Let v(t) = -4*t - 1. Let g(q) = -5*q**2 - 5*q + 8. Give g(j) - 2*v(j). -5*j**2 + 3*j + 10 Suppose -z - 12 = 3*v, 4*z + v + 27 = -4*v. Let k(i) = -5*i - 1. Let y(o) be the second derivative of 3*o**3/2 + o**2 - 19244*o. Calculate z*y(j) - 5*k(j). -2*j - 1 Let b(m) = 2*m. Let i(s) = -s - 19*s + 2 + 7*s - 3 + 10*s. Suppose x = -t - 0*t - 3, -x - 3 = -3*t. Give x*i(l) - 5*b(l). -l + 3 Let c(u) = 73*u**2 - 859 - 38*u**2 + 32*u**3 + 854 - 40*u**2. Let l(k) = -k**2 - 1. Give c(r) - 5*l(r). 32*r**3 Let z(f) = -11*f - 11. Let b(t) = 6*t + 5. Let l = -564 - -1483. Suppose -924*c = -l*c - 25. What is c*z(h) + 11*b(h)? 11*h Let p(f) = 304*f**2 - 5*f - 7. Let q(r) = -610*r**2 + 9*r + 11. Give 5*p(s) + 3*q(s). -310*s**2 + 2*s - 2 Let s(y) = -313*y - 4*y**2 - 7 + 199*y + 97*y. Let q(d) = -2*d**2 - 9*d - 4. Give -11*q(k) + 6*s(k). -2*k**2 - 3*k + 2 Suppose 4*s + v + 3*v - 16 = 0, 0 = -s + 2*v + 13. Suppose s*f - 484 + 421 = 0. Let k(b) = 8*b - 3. Let o(p) = -2*p + 1. Calculate f*o(l) + 2*k(l). -2*l + 3 Let y(v) = -v + 5. Let j(m) = 572 - 143 - 147 - 138 - 140 - 2*m. What is -3*j(n) + 4*y(n)? 2*n + 8 Let y(h) = -119*h**3 + 5*h**2 - 148*h + 1. Let z(l) = -117*l**3 + 4*l**2 - 118*l + 1. Determine 4*y(d) - 5*z(d). 109*d**3 - 2*d - 1 Let c = -1255 - -1266. Let i = -2 - -4. Let z(k) = 2*k**2 + 5 + k**i - 8*k + 3 + 2*k**2. Let x(n) = 2*n**2 - 3*n + 3. Calculate c*x(o) - 4*z(o). 2*o**2 - o + 1 Let d(q) = q**2 + 147*q + 5225. Let o be d(-87). Let l(r) = -r. Let x(g) = g**3 - g. Calculate o*l(m) - x(m). -m**3 - 4*m Let r(k) = -3*k**2 + 2*k. Let x(n) = 3*n**2 - 3*n. Let u = -10 + 10. Suppose u = 4*q + q + 10. Suppose 0 = -4*c + 21 - 33. What is c*r(f) + q*x(f)? 3*f**2 Let i(p) = -3*p**2 + 5*p - 5. Let s(n) be the second derivative of n**4/2 - 3*n**3/2 + 9*n**2/2 - n. Suppose 143*q - 90 = 113*q. Give q*s(j) + 5*i(j). 3*j**2 - 2*j + 2 Let s(m) = -3*m + 1243. Let n(f) = 10*f - 3764. Calculate -2*n(u) - 7*s(u). u - 1173 Let s(u) = -2*u + 2866. Let o(d) = d**2 - 3*d + 2850. Give -2*o(h) + 3*s(h). -2*h**2 + 2898 Let u(h) be the third derivative of -h**3/6 + h**2. Let l = -76 - -78. Let m(b) = l*b + 4*b + 5 + 1 - 2*b + 2*b. Calculate m(p) + 8*u(p). 6*p - 2 Suppose 0 = 23*p + 8 + 38. Let f(i) = 3. Let r(x) = -x + 10. Determine p*r(b) + 7*f(b). 2*b + 1 Let l(d) = -46*d + 14. Let z(p) = -9*p + 3. Let t = 10706 + -10709. Suppose -39 = -2*s - 11. Give s*z(y) + t*l(y). 12*y Let f be (-11 + -1)/(3 + -1). Let l(p) = -2*p**2 - 17*p + 21. Let u(g) = -g**2 - 9*g + 11. Give f*l(a) + 11*u(a). a**2 + 3*a - 5 Let z(r) = -63*r**3 - 3*r**2 - 6. Let d(f) = 251*f**3 + 12*f**2 - f + 27. Determine 2*d(o) + 9*z(o). -65*o**3 - 3*o**2 - 2*o Let u(s) = -984*s**2 + 26*s + 6. Let w(y) = 496*y**2 - 12*y - 3. Determine 6*u(z) + 13*w(z). 544*z**2 - 3 Let f(c) = 88*c - 17. Let y(t) = -1050*t + 200. Determine -35*f(r) - 3*y(r). 70*r - 5 Let h(o) = 8*o**2 + 7*o - 6. Let s(i) = 9*i**2 + 9*i - 10. Let x(a) = 6*h(a) - 4*s(a). Let j(k) = -23*k**2 - 13*k - 9. Calculate -6*j(m) - 13*x(m). -18*m**2 + 2 Let o(s) = 5*s**3 - 7
{ "pile_set_name": "DM Mathematics" }
term of -900, -2088, -3280, -4476, -5676? -2*x**2 - 1182*x + 284 What is the f'th term of 36048, 33990, 31932? -2058*f + 38106 What is the g'th term of 138, 479, 1016, 1737, 2630, 3683? -2*g**3 + 110*g**2 + 25*g + 5 What is the c'th term of -2927507, -5854956, -8782405? -2927449*c - 58 What is the n'th term of -5820, -14070, -24746, -37848? -1213*n**2 - 4611*n + 4 What is the g'th term of 1643, 1580, 1517? -63*g + 1706 What is the o'th term of -467557, -467735, -467913, -468091, -468269, -468447? -178*o - 467379 What is the s'th term of 3985222, 3985219, 3985216? -3*s + 3985225 What is the v'th term of -986, -1494, -2828, -5402, -9630, -15926? -69*v**3 + v**2 - 28*v - 890 What is the f'th term of 62573, 63834, 65093, 66350, 67605, 68858? -f**2 + 1264*f + 61310 What is the z'th term of 1326102, 2652208, 3978332, 5304480, 6630658? z**3 + 3*z**2 + 1326090*z + 8 What is the r'th term of -321, -538, -617, -510, -169? 8*r**3 + 21*r**2 - 336*r - 14 What is the m'th term of -51604, -411297, -1387612, -3288859, -6423348, -11099389, -17625292? -51385*m**3 - m**2 + 5*m - 223 What is the r'th term of 5577, 6744, 7911, 9078? 1167*r + 4410 What is the w'th term of -23939, -27778, -34175, -43130, -54643, -68714? -1279*w**2 - 2*w - 22658 What is the w'th term of -6146031, -6146031, -6146029, -6146025, -6146019, -6146011? w**2 - 3*w - 6146029 What is the c'th term of 392312, 392339, 392366, 392393, 392420? 27*c + 392285 What is the o'th term of 8591, 9186, 10183, 11588, 13407? o**3 + 195*o**2 + 3*o + 8392 What is the z'th term of -2502, -2011, -1286, -327, 866, 2293? 117*z**2 + 140*z - 2759 What is the b'th term of -65757881, -131515771, -197273661, -263031551, -328789441, -394547331? -65757890*b + 9 What is the x'th term of 4080, 4207, 4352, 4521, 4720, 4955, 5232, 5557? x**3 + 3*x**2 + 111*x + 3965 What is the q'th term of 7361, 7362, 7367, 7376? 2*q**2 - 5*q + 7364 What is the f'th term of 255, 848, 1821, 3180, 4931, 7080, 9633? f**3 + 184*f**2 + 34*f + 36 What is the l'th term of -91654, -183271, -274888? -91617*l - 37 What is the x'th term of -91, -359, -803, -1423? -88*x**2 - 4*x + 1 What is the w'th term of -34583, -69442, -104299, -139154, -174007? w**2 - 34862*w + 278 What is the k'th term of -86179370, -172358744, -258538118, -344717492, -430896866? -86179374*k + 4 What is the j'th term of 2410, 2543, 2746, 3019, 3362, 3775, 4258? 35*j**2 + 28*j + 2347 What is the a'th term of -1347097, -2694163, -4041225, -5388283? 2*a**2 - 1347072*a - 27 What is the r'th term of -62908, -251640, -566212, -1006636, -1572924, -2265088, -3083140, -4027092? -2*r**3 - 62908*r**2 + 6*r - 4 What is the r'th term of 370, 1017, 1918, 3055, 4410, 5965, 7702? -3*r**3 + 145*r**2 + 233*r - 5 What is the h'th term of -73017390, -73017391, -73017392? -h - 73017389 What is the f'th term of 164306, 657245, 1478810, 2629001, 4107818? 164313*f**2 - 7 What is the p'th term of -5043, -10716, -16389, -22062? -5673*p + 630 What is the k'th term of -1809, -6962, -15523, -27492, -42869, -61654, -83847? -1704*k**2 - 41*k - 64 What is the c'th term of -1360, -2733, -4080, -5395, -6672, -7905? c**3 + 7*c**2 - 1401*c + 33 What is the v'th term of 335, 1929, 6279, 14771, 28791? 231*v**3 - 8*v**2 + v + 111 What is the o'th term of 1111, 6329, 11573, 16855, 22187, 27581, 33049? 2*o**3 + o**2 + 5201*o - 4093 What is the u'th term of 314, 336, 120, -340, -1050, -2016, -3244? -u**3 - 113*u**2 + 368*u + 60 What is the g'th term of -44987413, -89974826, -134962239? -44987413*g What is the z'th term of 5614778, 11229552, 16844326? 5614774*z + 4 What is the t'th term of 6327599, 6327594, 6327575, 6327536, 6327471? -t**3 - t**2 + 5*t + 6327596 What is the g'th term of -19165, -34016, -48873, -63736, -78605, -93480, -108361? -3*g**2 - 14842*g - 4320 What is the c'th term of -31349, -37240, -43131, -49022, -54913, -60804? -5891*c - 25458 What is the x'th term of 2665, 2622, 2549, 2446, 2313? -15*x**2 + 2*x + 2678 What is the g'th term of -85778, -85755, -85732? 23*g - 85801 What is the u'th term of -153972, -152459, -150948, -149439, -147932? -u**2 + 1516*u - 155487 What is the k'th term of -1293, -4748, -10385, -18204, -28205, -40388, -54753? -1091*k**2 - 182*k - 20 What is the t'th term of -995951, -1992044, -2988137? -996093*t + 142 What is the g'th term of -1149353, -1149316, -1149219, -1149032, -1148725? 5*g**3 + 2*g - 1149360 What is the w'th term of -4955, -7058, -9153, -11240, -13319, -15390? 4*w**2 - 2115*w - 2844 What is the b'th term of 41851, 84390, 126931, 169474, 212019, 254566, 297115? b**2 + 42536*b - 686 What is the p'th term of -27196, -27714, -28232? -518*p - 26678 What is the i'th term of 75839, 75989, 76233, 76571, 77003, 77529? 47*i**2 + 9*i + 75783 What is the d'th term of 2713, 2354, 1875, 1276? -60*d**2 - 179*d + 2952 What is the t'th term of -88508, -88552, -88626, -88730, -88864? -15*t**2 + t - 88494 What is the s'th term of 219920, 439769, 659554, 879275, 1098932, 1318525, 1538054? -32*s**2 + 219945*s + 7 What is the u'th term of -5096, -9042, -12988? -3946*u - 1150 What is the f'th term of -376586, -1506486, -3389642, -6026048, -9415698, -13558586, -18454706, -24104052? f**3 - 376634*f**2 - 5*f + 52 What is the i'th term of -1960222, -7840899, -17642028, -31363609? -1960226*i**2 + i + 3 What is the a'th term of -18107, -33866, -49621, -65372, -81119, -96862? 2*a**2 - 15765*a - 2344 What is the t'th term of 14718, 14569, 14420? -149*t + 14867 What is the c'th term of -1545431, -3090863, -4636295? -1545432*c + 1 What is the r'th term of -1775906, -1775893, -1775872, -1775843? 4*r**2 + r - 1775911 What is the y'th term of 4780, 10257, 15734? 5477*y - 697 What is the n'th term of 3781519, 7563048, 11344591, 15126154, 18907743? n**3 + n**2 + 3781519*n - 2 What is the c'th term of 319, 1716, 5599, 13240, 25911, 44884, 71431? 212*c**3 - 29*c**2 + 136 What is the l'th term of 406163, 812295, 1218427, 1624559? 406132*l + 31 What is the r'th term of 746673, 1493467, 2240261, 2987055, 3733849? 746794*r - 121 What is the t'th term of -30182716, -60365431, -90548148, -120730867, -150913588, -181096311? -t**2 - 30182712*t - 3 What is the h'th term of 479468, 479473, 479482, 479495, 479512, 479533? 2*h**2 - h + 479467 What is the u'th term of -364819, -729651, -1094485, -1459321, -1824159, -2188999? -u**2 - 364829*u + 11 What is the y'th term of -6234, -6306, -6404, -6540, -6726, -6974, -7296? -2*y**3 - y**2 - 55*y - 6176 What is the t'th term of -1871, -466, 1877, 5164, 9401, 14594, 20749, 27872? t**3 + 463*t**2 + 9*t - 2344 What is the q'th term of 373457, 373302, 372977, 372428, 371601, 370442? -9*q**3 - 31*q**2 + q + 373496 What is the y'th term of -4744448, -4744449, -4744446, -4744439? 2*y**2 - 7*y - 4744443 What is the r'th term of 8431, 34785, 79059, 141253, 221367, 319401, 435355? 8960*r**2 - 526*r - 3 What is the b'th term of 7430, 15230, 23408, 31970, 40922, 50270? b**3 + 183*b**2 + 7244*b + 2 What is the s'th term of 101580, 406344, 914288, 1625418, 2539740, 3657260, 4977984, 6501918? s**3 + 101584*s**2 + 5*s - 10 What is the k'th term of -63985, -127898, -191811, -255724, -319637, -383550? -63913*k - 72 What is the k'th term of -100372, -100505, -100720, -101011, -101372, -101797, -102280? k**3 - 47*k**2 + k - 100327 What is the q'th term of -1794, -3288, -4776, -6258, -7734? 3*q**2 - 1503*q - 294 What is the j'th term of 13942, 57427, 130454, 233023, 365134, 526787, 717982? 14771*j**2 - 828*j - 1 What is the g'th term of -5826503, -11652992, -17479487, -23305988, -29132495, -34959008, -40785527? -3*g**2 - 5826480*g - 20 What is the s'th term of 279700, 1118813, 2517340, 4475281, 6992636, 10069405, 13705588? 279707*s**2 - 8*s + 1 What is the o'th term of -17231, -17261, -17335, -17453, -17615, -17821, -18071? -22*o**2 + 36*o - 17245 What is the j'th term of 20134, 20071, 20006, 19939, 19870? -j**2 - 60*j + 20195 What is the c'th term of -478, -495, -484, -457, -426, -403, -400? -2*c**3 + 26*c**2 - 81*c - 421 What is the b'th term of -339, -2043, -6471, -14985, -28947, -49719, -78663, -117141? -227*b**3 - 115*b + 3 What is the k'th term of 15734127, 31468251, 47202373, 62936493, 78670611, 94404727? -k**2 + 15734127*k + 1 What is the o'th term of 9609, 76411, 257707, 610743, 1
{ "pile_set_name": "DM Mathematics" }
to four decimal places? 0.0008 Round -3213500 to the nearest one hundred thousand. -3200000 What is -28305 rounded to the nearest 1000? -28000 What is -3371.3 rounded to the nearest 1000? -3000 Round 0.00006863 to 5 decimal places. 0.00007 What is -0.0052732 rounded to 3 decimal places? -0.005 What is -587.2 rounded to the nearest 100? -600 Round 175520000 to the nearest one million. 176000000 What is -0.0037363 rounded to five dps? -0.00374 Round -1614.3 to the nearest 10. -1610 Round 63.576 to one decimal place. 63.6 Round -0.00615 to 4 dps. -0.0062 Round 0.00175 to 4 decimal places. 0.0018 Round 10.09 to 0 dps. 10 Round -0.0000037184 to seven decimal places. -0.0000037 Round -0.0000011759 to seven dps. -0.0000012 What is -1570 rounded to the nearest 100? -1600 Round -0.688 to one dp. -0.7 Round 145.02 to the nearest ten. 150 What is -0.00011985 rounded to 6 dps? -0.00012 What is -64.84 rounded to zero decimal places? -65 What is 2950 rounded to the nearest 10000? 0 What is -17571600 rounded to the nearest 1000000? -18000000 What is 12910 rounded to the nearest one thousand? 13000 What is -1.6951 rounded to 2 dps? -1.7 Round -0.0000040807 to six decimal places. -0.000004 Round -980630 to the nearest one thousand. -981000 What is 0.0005036 rounded to four dps? 0.0005 Round -0.040578 to four dps. -0.0406 Round -1150600 to the nearest 100000. -1200000 Round -77.739 to one dp. -77.7 Round -0.00057331 to 5 decimal places. -0.00057 What is 30.38 rounded to 0 decimal places? 30 What is 0.0010629 rounded to 4 decimal places? 0.0011 Round -0.00007893 to seven dps. -0.0000789 What is -692180 rounded to the nearest one hundred thousand? -700000 Round -0.00040024 to four dps. -0.0004 Round -15390 to the nearest 100. -15400 Round 560 to the nearest ten. 560 Round -0.0051944 to 3 decimal places. -0.005 What is 16.1271 rounded to the nearest ten? 20 What is -666770 rounded to the nearest ten thousand? -670000 What is -0.001139 rounded to 4 decimal places? -0.0011 Round -2427900 to the nearest 10000. -2430000 What is 1588000 rounded to the nearest ten thousand? 1590000 What is -3.7065 rounded to 2 decimal places? -3.71 Round 0.000065835 to 6 dps. 0.000066 What is 1229100 rounded to the nearest 10000? 1230000 Round 0.40094 to 1 dp. 0.4 What is 0.00031679 rounded to five decimal places? 0.00032 What is -2.7424 rounded to two dps? -2.74 Round -7133000 to the nearest one million. -7000000 Round 223300 to the nearest 10000. 220000 What is -0.5254 rounded to two dps? -0.53 What is 66200 rounded to the nearest ten thousand? 70000 What is -0.0146108 rounded to three decimal places? -0.015 What is -14535100 rounded to the nearest one million? -15000000 Round -0.00001298 to six decimal places. -0.000013 Round 41205000 to the nearest 100000. 41200000 What is -87903 rounded to the nearest 10000? -90000 What is -0.034162 rounded to 3 dps? -0.034 Round 208100000 to the nearest 1000000. 208000000 What is 0.3151 rounded to two decimal places? 0.32 Round 0.00007273 to 5 decimal places. 0.00007 What is 2224.9 rounded to the nearest ten? 2220 What is -2.977 rounded to one decimal place? -3 What is -7810000 rounded to the nearest 1000000? -8000000 What is -0.0000118324 rounded to 7 dps? -0.0000118 What is -0.00091171 rounded to 5 dps? -0.00091 What is -0.013789 rounded to 4 dps? -0.0138 Round 118750 to the nearest ten thousand. 120000 What is 0.0000148 rounded to seven decimal places? 0.0000148 Round -0.000725 to four dps. -0.0007 Round -622 to the nearest one hundred. -600 Round -0.0000007411 to 7 decimal places. -0.0000007 What is 682450000 rounded to the nearest one million? 682000000 Round 11500 to the nearest ten thousand. 10000 Round -12450000 to the nearest 1000000. -12000000 Round -1619300 to the nearest 1000000. -2000000 What is 128.63 rounded to zero decimal places? 129 What is -57.57 rounded to 0 dps? -58 Round -5684000 to the nearest 1000000. -6000000 Round -0.000006413 to seven dps. -0.0000064 Round 15.5776 to one decimal place. 15.6 Round -2415000 to the nearest one million. -2000000 What is -2017000 rounded to the nearest one hundred thousand? -2000000 Round -7.76 to the nearest integer. -8 What is 5115000 rounded to the nearest one million? 5000000 Round 11.54 to 0 decimal places. 12 What is 0.013493 rounded to three dps? 0.013 Round 0.537296 to one decimal place. 0.5 Round -1338 to the nearest 10. -1340 What is -7465 rounded to the nearest 100? -7500 What is 0.80406 rounded to 2 dps? 0.8 What is -0.000872 rounded to 5 dps? -0.00087 Round -1400900 to the nearest ten thousand. -1400000 Round -0.001955 to four decimal places. -0.002 What is 0.767 rounded to 3 decimal places? 0.767 Round 1.12 to the nearest ten. 0 What is 114640 rounded to the nearest ten thousand? 110000 What is -4.291 rounded to one decimal place? -4.3 Round -0.006113 to four decimal places. -0.0061 What is 1.95015 rounded to two dps? 1.95 Round -0.0006305 to 5 decimal places. -0.00063 Round 961.43 to the nearest one hundred. 1000 What is 0.00000057092 rounded to seven dps? 0.0000006 Round -0.151474 to three decimal places. -0.151 Round -75.6 to the nearest integer. -76 Round 0.00008086 to 6 dps. 0.000081 Round 79 to the nearest 10. 80 Round 0.24276 to 1 dp. 0.2 What is 16118000 rounded to the nearest one million? 16000000 Round -1197.95 to the nearest ten. -1200 What is 3.9953 rounded to 2 dps? 4 Round 168439000 to the nearest one million. 168000000 What is 346000 rounded to the nearest one hundred thousand? 300000 What is -3880000 rounded to the nearest 1000000? -4000000 What is 72.1 rounded to the nearest 10? 70 Round -0.132 to two dps. -0.13 What is -10669000 rounded to the nearest 100000? -10700000 Round -550.5 to the nearest 100. -600 Round 3590 to the nearest 10000. 0 What is -113870000 rounded to the nearest one million? -114000000 What is -0.01233 rounded to three dps? -0.012 What is -4274.9 rounded to the nearest 100? -4300 What is -0.00098454 rounded to 6 decimal places? -0.000985 Round -0.1105 to three decimal places. -0.111 What is 9.17 rounded to the nearest ten? 10 Round -302300 to the nearest 100000. -300000 What is -170.8 rounded to the nearest one hundred? -200 Round 0.00000340148 to 7 decimal places. 0.0000034 What is 421298 rounded to the nearest one hundred thousand? 400000 What is -1.8362 rounded to one dp? -1.8 What is 17.434 rounded to 1 dp? 17.4 Round -0.0000044 to 4 decimal places. 0 What is -80.88 rounded to the nearest ten? -80 Round 0.00000450044 to 7 decimal places. 0.0000045 Round 400260 to the nearest 10000. 400000 Round 0.2002 to 1 decimal place. 0.2 What is 3631200 rounded to the nearest 10000? 3630000 Round -0.0088484 to 3 dps. -0.009 Round -25.955 to 1 dp. -26 Round -0.000194 to 5 decimal places. -0.00019 What is 70290000 rounded to the nearest 1000000? 70000000 What is -56790 rounded to the nearest ten thousand? -60000 Round -0.007327 to 4 decimal places. -0.0073 What is 40.69 rounded to the nearest ten? 40 What is -5872400 rounded to the nearest one million? -6000000 Round 0.03223 to three decimal places. 0.032 Round 374.07 to the nearest 100. 400 Round -0.00001082 to 7 dps. -0.0000108 Round 1.813 to 1 decimal place. 1.8 Round -410 to the nearest 100. -400 What is -186200 rounded to the nearest 1000? -186000 What is 81320 rounded to the nearest 1000? 81000 What is 96850 rounded to the nearest 10000? 100000 What is 2037460 rounded to the nearest one million? 2000000 What is -23355000 rounded to the nearest one hundred thousand? -23400000 Round -10723 to the nearest one thousand. -11000 Round -18.846 to 1 decimal place. -18.8 Round 13020000 to the nearest 1000000. 13000000 Round -140.9 to the nearest 10. -140 Round 7.4032 to two decimal places. 7.4 Round 33.477 to the nearest 10. 30 Round -1990.1 to the nearest one thousand. -2000 Round -0.0427 to 3 dps. -0.043 What is 0.00020391 rounded to 6 decimal places? 0.000204 Round -460600 to the nearest one hundred thousand. -500000 What is 0.000002889 rounded to 7 dps? 0.0000029 Round -94000 to the nearest 10000. -90000 Round 1766.6 to the nearest 100. 1800 What is -0.090613 rounded to three dps? -0.091 What is 0.00068211 rounded to 4 dps? 0.0007 Round 83.66 to the nearest 10. 80 What is 0.51239 rounded to 1 dp
{ "pile_set_name": "DM Mathematics" }
- 5*w + m = 0, -3*l + 17 = 4*w - 36. What are the prime factors of l? 3, 5 List the prime factors of 28/6*(-72)/(-7). 2, 3 Let k(l) = 2*l + 2. Let d be k(-4). Let i = -2 - d. Suppose 5*y - 4*r = 45, -2*r + 55 = 5*y - i*r. List the prime factors of y. 13 Let v(o) = -4*o - 8. Let n be v(-7). Let z = n - 5. List the prime factors of z. 3, 5 Suppose 0 = i - 5*i. Suppose l = -i*l + 5. List the prime factors of l. 5 Let p = 0 - -87. What are the prime factors of p? 3, 29 Let b be 238/6 - 2/(-6). Suppose -b = -2*s + 4. Suppose -3*n = 2*f - s, 4*n - 5*f + 12 - 3 = 0. What are the prime factors of n? 2 Let j = 188 - 167. What are the prime factors of j? 3, 7 Let h = 3 + -3. Suppose t = -h + 11. What are the prime factors of t? 11 Let a(b) = -4*b - 4. List the prime factors of a(-19). 2, 3 Suppose 0*i - 3*s = -4*i - 29, 0 = 4*i + 5*s + 69. Let g = 28 + i. What are the prime factors of g? 17 Let c(n) = n - 6. Let x be c(5). Let v be ((-2)/(-1) + x)/1. Suppose v = -g + 5. What are the prime factors of g? 2 List the prime factors of 1 - 3 - (-92 + 6). 2, 3, 7 Let k be ((-12)/(-10))/((-6)/(-20)). Suppose -5*g + 60 = -k*o, 58 = g + 2*g + 2*o. What are the prime factors of g? 2 Suppose 2*j + 99 = 5*a, a - 9 = -2*a. Suppose -49 = 3*y + 41. Let w = y - j. What are the prime factors of w? 2, 3 Let k = 130 + -36. Suppose 2*v = -2*u + 34, -2*u - k = -7*u + 4*v. What are the prime factors of u? 2, 3 Let j(o) = -o**2 - 9*o - 2. Let k = 7 + -13. Let u be j(k). Suppose 1 - u = -5*z. What are the prime factors of z? 3 Let m(f) = -32*f + 1. What are the prime factors of m(-1)? 3, 11 Let u(r) = -3*r + 6. What are the prime factors of u(-4)? 2, 3 Suppose 0 = -6*k + k + 15. Suppose -k*j = -4*h + 52, -h - 2*j - 3*j + 36 = 0. What are the prime factors of h? 2 Let j(x) = 37*x**2 - x. What are the prime factors of j(-1)? 2, 19 Suppose 8*r - 25 = -5*l + 3*r, -2*r + 28 = 5*l. Suppose -2*t - 4 = 0, i + l*t - 2*t = -17. List the prime factors of ((-300)/i)/5*3. 2, 5 Let b be 9*2*(-2)/3. Let z(l) = l**2 + 11*l - 36. Let c be z(-12). Let g = b - c. What are the prime factors of g? 2, 3 Suppose -74 = -3*z + z. List the prime factors of z. 37 Suppose -5*p + 20 = -2*a, -p = -3*a - 0*p - 4. Let l(o) = o**3 - o**2 - o - 1. Let d be l(a). Let i = d + 8. What are the prime factors of i? 7 Suppose 0*w - 4*w - 20 = 0. Let z = 7 + w. Suppose -40 = -z*l - 3*l. What are the prime factors of l? 2 Let n(l) = -l + 13. Let u be n(13). Suppose -4*z = 4*x - 56, -3*x + 50 = -0*x + 5*z. Suppose u*d - d = -5*j - 32, -x = 2*j. What are the prime factors of d? 7 Let z(t) = -t**2 - t. Let p(s) = -s**2. Let f(n) = -2*p(n) + z(n). Suppose -b - 4 = -1. What are the prime factors of f(b)? 2, 3 Suppose 11*j + 4*c = 7*j + 76, j = -4*c + 31. What are the prime factors of j? 3, 5 Let i(n) = -n**2 - 7*n + 5. What are the prime factors of i(-7)? 5 Let p(u) be the first derivative of u**4/4 + 8*u**3/3 + 3*u**2 + 7*u + 2. What are the prime factors of p(-7)? 2, 7 Let j = -8 - -12. Suppose 3 + j = f. What are the prime factors of f? 7 Let f(l) = -14*l**2 - l + 1. Let s be f(1). Let y = 2 - s. List the prime factors of y. 2 Let v(m) = 5*m**2 + 16*m + 9. Let d(i) = 2*i**2 + 5*i + 3. Let h(o) = -8*d(o) + 3*v(o). Let g be h(9). What are the prime factors of (2/g)/((-2)/66)? 11 Let n be (12/(-5))/((-16)/360). Suppose -n = -q - q. List the prime factors of q. 3 Suppose -3*a = a - 456. What are the prime factors of a? 2, 3, 19 Let b be -1 + ((-2)/2)/(-1). Suppose b*h = 2*h - 16. What are the prime factors of h? 2 Suppose 2*v - 65 = -2*v + y, -y + 79 = 5*v. What are the prime factors of v? 2 Let b be (-3)/(-6)*7*-2. Let u(k) = k**2 + 5*k + 2. What are the prime factors of u(b)? 2 Let r be 38/4 + (-2)/(-4). Suppose r = 5*v - 25. What are the prime factors of v? 7 Let i(h) = -h + 1. Let n(r) = 2*r + 4. Let q be n(5). Suppose 3*s + 4*d + q = 0, 4*s = s + d - 19. What are the prime factors of i(s)? 7 What are the prime factors of ((-50)/4)/((-2)/4)? 5 Suppose 0 = -2*i + 2. Suppose i + 3 = h. Suppose -5*u + 40 = h*l - u, -2*l + u + 5 = 0. What are the prime factors of l? 5 Let j(i) = -3*i + 0*i - 3 - 3. Suppose 4*v + 30 = -v. List the prime factors of j(v). 2, 3 Suppose 4*r = 5*t + 1233, 0*r + 300 = r - 4*t. List the prime factors of r. 2, 3, 13 Suppose 0 = 2*m - b + 2 + 3, -2*b + 4 = 2*m. Let x be ((-3)/6)/m*0. Let i = 2 + x. List the prime factors of i. 2 Let p = -8 - -25. Suppose 0 = -n - 8*o + 3*o - p, o + 16 = 4*n. List the prime factors of n. 3 Let g(x) = x**3 + 5*x**2 + 4*x + 2. Let c be g(-4). Let m = c + -1. Suppose -7 = -f + m. List the prime factors of f. 2 Let x(j) = j. Let t be x(5). Suppose -4*h - 11 = -4*a - 95, -31 = -3*h - t*a. List the prime factors of h. 17 Let b be (-1)/(2/((-18)/1)). Let s(x) = x**3 - 6*x**2 - 6*x - 6. Let a be s(7). Let n = a + b. What are the prime factors of n? 2, 5 Suppose 0*m - d = 3*m - 398, 5*m - 5*d = 630. What are the prime factors of m? 131 List the prime factors of 83/5 - (-6)/15. 17 List the prime factors of -6*(-28)/((-12)/(-3)). 2, 3, 7 Suppose 0 = 6*w - w + x - 301, w + 3*x - 49 = 0. List the prime factors of w. 61 Suppose p - 4*p - 3*o + 207 = 0, -206 = -3*p - 4*o. What are the prime factors of p? 2, 5, 7 Let x(h) = h + 7. Let z be x(-5). Suppose 10 = 5*n + 4*v, z*n - n + 2*v = -4. List the prime factors of n. 2, 3 Let q(u) = u**3 - u**2 - u + 2. Let d be ((-2)/(-4))/((-2)/(-12)). List the prime factors of q(d). 17 Suppose -2*i + 263 = 5*z, -3*i - 3*z + 547 = i. List the prime factors of i. 139 Let o(b) = b**2 + 2. Let s(l) = l**2 - 7*l + 3. Let d be s(6). List the prime factors of o(d). 11 Suppose j + 0*t + 5*t = 39, 2*j = 3*t + 52. What are the prime factors of j? 29 Suppose -5*b - 5*g + 99 = -16, -44 = -3*b + 2*g. Suppose -b = -i + 11. List the prime factors of i. 29 Suppose -4*n + 5*n - 9 = -5*f, -1 = -f - n. Let c be 1*1/((-2)/f). Let z(w) = -3*w**3 + 1. What are the prime factors of z(c)? 2 Let k(t) = t**2 + 5*t - 19. What are the prime factors of k(-9)? 17 Let b be 23/(-7) - 2/(-7). Let c be (-4)/(-6)*(0 - b). Suppose c*r - 3*r + 3 = 0. List the prime factors of r. 3 Suppose -6*x + 138 = -3*x. What are the prime factors of x? 2, 23 What are the prime factors of -1 - 3 - (-61 + 0)? 3, 19 Let i be (-400)/16*(-4)/(-2). Let n = i - -81. What are the prime factors of n? 31 Let n(s) = -s + 5. Let i be n(4). Let y = i + 1. List the prime factors of 8*y*6/8. 2, 3 Suppose 5*i = 2*i + 18. What are the prime factors of i? 2, 3 Let m be ((-108)/(-3))/(-2) - -3. Let n = m + 21. What are the prime factors of n? 2, 3 Suppose -9*m + 218 = -7*m. List the prime factors of m. 109 Let d be 1 + 3 + -6 + 3. Let x = 10 - d. What are the prime factors of x? 3 Let r(y) = -8*y**3 - 2*y**2 + 2*y + 2. What are the prime factors of r(-3)? 2, 97 Suppose 0 = -3*z - 9, -5*a = 5*z - 2*z - 626. List the prime factors of a. 127 Suppose 1 = -r + 15. Suppose -r + 50 = 4*v. List the prime factors of v. 3 Suppose 8 + 10 = -2*u. Let j be (-4)/(-6) + (-30)/u. Suppose -2 - 10 = -j*l. What are the prime factors of l? 3 Suppose -6*u + 42 = 12. Suppose -2*v + 5*v - 6 = 0. Suppose b - y = 7, 4*b - v*b = u*y + 26. What are the prime factors of b? 3 Let p be 244/7 - (-1)/7. Suppose 4*t + t = p. List the prime factors of t. 7 Let u be 4 + (0 + -1)/1. Suppose 4*x - 9 = -1, 2*x = -u*k + 40. List the prime factors of k. 2, 3 Let a = 10 - -16. List the prime factors of a. 2, 13 Let p(k) = 158*k + 4. List the prime factors of p(1). 2, 3 Let t(p) = 5*p**3 + 5*p**2 + 8*p - 7. Let c(v) = 9*v**3 + 10*v**2 + 15*v - 13. Let q(b) = 6*c(b) - 11*t(b). What are the prime factors of q(4)? 23 Suppose 8 = -y - 2. Let o = y + 15. Suppose -4*i - 16 = -o*i + 4*r, 5*i - 3*r = 63. List the prime factors of i. 2, 3 Suppose -2*z - 2*z + 132 = 0. List the prime factors of z. 3, 11 Let c(t) = -17*t**3 - t**2. Let p be c(-1). Suppose -6 = 2*s - p. What are the prime factors of s? 5 Let u = 9 - 20. Let z = 9 - u. What are the prime factors of z? 2, 5 Let d(p) = p**2 - 5*p. Let z be d(5). Let c(m) = m**3 - m**2 + m + 20. Let q be c(z). Suppose o = -o + q. What are the prime factors of o? 2, 5 Suppose -a - 2*w = -53, 0*w = -2*a + 3*w + 99. Let h = -71 + a. Let b = 38 + h. List the prime factors of b. 2, 3 Let f be 5*-1*(-2)/2. Let o = f - -1.
{ "pile_set_name": "DM Mathematics" }
2. Suppose 0 = -s + 1 + d. What are the prime factors of s? 3 Let s(l) = -4*l**3 + 16*l**2 + 27*l - 13. Let m(g) = -g**3 + 4*g**2 + 7*g - 3. Let x(k) = -9*m(k) + 2*s(k). List the prime factors of x(6). 19 Let k = 19 + -17. Suppose 56 = 3*c + 5*y - 91, 2*c + k*y - 98 = 0. List the prime factors of c. 7 Let a be (1*-2 - 0) + 78. What are the prime factors of a/12 + 2/3? 7 Let f(d) = -2*d**2 - 5*d**2 + 7*d**2 + d**2 + 4*d. What are the prime factors of f(-7)? 3, 7 Let h(o) = -o**2 - 5*o - 3. Let x be h(-2). Suppose 2*v - 4*v - x*s + 22 = 0, 0 = -v - 5*s + 4. What are the prime factors of v? 2, 7 Let q(f) = f**2 - f + 6. Let t be q(0). Let w be (t/(-10))/(2/(-10)). Suppose -2*y + 65 = 3*a, a = 2*y - w*y + 23. What are the prime factors of a? 19 Suppose w = -w + 18. Let a(d) = d - 7. List the prime factors of a(w). 2 Suppose 4*u = 15 + 25. Suppose 0 = -4*q - 3*m - 44, -2*q = -3*m - m. Let o = q + u. What are the prime factors of o? 2 Let x = 0 + -5. Let v = x - -9. Suppose 0 = -3*r + v*r - 12. What are the prime factors of r? 2, 3 What are the prime factors of (5*(-58)/(-3))/((-6)/(-9))? 5, 29 Let b(z) = -z**2 + 17*z - 13. Let h be b(16). Suppose 2*v - 89 = -h*k, 0 = -v + 2*v + k - 44. What are the prime factors of v? 43 Let c(p) = p**2 + 2*p - 4. What are the prime factors of c(3)? 11 Let w be 12/(-18) - 16/(-6). Suppose -w*v - m + 53 = 5, 2*v = 5*m + 24. What are the prime factors of v? 2, 11 Suppose 0 = 5*j - 246 - 144. List the prime factors of j. 2, 3, 13 Let s(r) = 5*r**2 - r + 1. Let g(v) = 15*v**2 - 2*v + 2. Let j(t) = 3*g(t) - 8*s(t). What are the prime factors of j(-2)? 2, 7 Let f(z) = z + 9. Let y be f(-5). Let q = -1 + y. What are the prime factors of (-6)/(-4)*4/q? 2 Suppose 0*k + 208 = 4*k. What are the prime factors of k? 2, 13 Let r(n) = 2*n**3 - 8 + 5 - n**3 + 4*n. List the prime factors of r(2). 13 Suppose 5*z = z + 4, -3*z - 3 = -3*j. Suppose d - j = 6. What are the prime factors of d? 2 Let r(i) = i. Let q be r(0). Let o = 23 + q. What are the prime factors of o? 23 Let l(h) = -h**2 - 10*h + 3. Let d(g) = g**2 - 8*g + 3. Let c be d(6). List the prime factors of l(c). 2, 3 Let z = -6 + 7. Let p be 5*z - (-6 - -6). Suppose 2*m - 2*d = 34, -4*m + 18 = p*d - 5. What are the prime factors of m? 2, 3 List the prime factors of ((-568)/2)/(19 - 21). 2, 71 Suppose -17 = 4*w + g, 3*w - 16 = -3*g - 40. Let n = 40 - w. List the prime factors of n. 43 Suppose 35 = -3*z + 5*t, -2*z + 6 = 3*t + t. Suppose 5*j + 3*a - 5*a = -13, -4*j - 3*a = 15. Let r = j - z. What are the prime factors of r? 2 Let x = 42 + 8. What are the prime factors of x/18 + (-6)/(-27)? 3 Let o(u) = -u - 6. Let v(s) = s + 7. Let f(j) = 5*o(j) + 4*v(j). Let d(z) = z + 7. Let h be d(-11). List the prime factors of f(h). 2 Suppose -6*o = -3*o - 69. Let x be -4 - (0 - 2) - o. List the prime factors of (-1)/5 - 355/x. 2, 7 Let n(d) = 2*d - 6. Let o be n(9). Suppose -3*u - 2*h = o - 5, -4 = 2*u + h. What are the prime factors of u + (-9)/(-3) + 10? 2, 3 Suppose 3*n + z + 51 = 0, 5*n + 4*z = 8*z - 102. What are the prime factors of (n/5)/((-1)/5)? 2, 3 Let a = -2 - 3. Let p(d) be the second derivative of d**5/20 + 7*d**4/12 + d**3 - d**2 + 2*d. List the prime factors of p(a). 2, 3 Suppose -z = 3*z - 20. Let b(x) = 3*x - 4. List the prime factors of b(z). 11 Suppose m = 5*m - 192. List the prime factors of m. 2, 3 Let n be 2/4*2*2. Let u be (-4)/1 + -15 + 19. Suppose u = -n*y - y + 15. List the prime factors of y. 5 Suppose 192 + 62 = 2*t. What are the prime factors of t? 127 Let l be (-2)/5 + (-1421)/35. Let x = l - -88. What are the prime factors of x? 47 Let s be 2/(-5) - 52/(-5). Let f be 2*(-3)/((-12)/s). Suppose f*j - 48 = j. List the prime factors of j. 2, 3 Let s = -14 + 53. Suppose k - 5*g - s = -k, 27 = 3*k + 3*g. Let d = k + -7. What are the prime factors of d? 5 Let k be 4*5 - (0 + 2). Let d(f) = -7*f - 1. Let w be d(-1). Suppose -3*n - k = -w*n. What are the prime factors of n? 2, 3 Let v be 60*(-1)/((-6)/9). Let l = v - 150. List the prime factors of (4/10)/((-6)/l). 2 Suppose -4*k = -13 - 23. Suppose k*c - 4*c = -4*h + 162, 0 = 2*c + 2*h - 64. Suppose -5*f - 4 = -c. What are the prime factors of f? 2, 3 Suppose o - 2*o + 2*z = -5, 0 = -2*o + 2*z + 8. Suppose w + 4*u = -17, -w - u + 13 = -o*u. What are the prime factors of w? 3 Let k = -51 - -111. Suppose 0 = -2*o + 6*o - k. List the prime factors of o. 3, 5 Let s(m) = -3*m - 2. Let y(f) = f + 1. Let p(t) = 6*s(t) + 21*y(t). List the prime factors of p(9). 2, 3 Let f = -109 - -62. Let i = -22 - f. Suppose -5*o - i = -85. What are the prime factors of o? 2, 3 Let s = 3 + -3. Let w be 7 + 5 + (s - 1). Suppose -u = -4*o + 2*u + w, 3*o - 2*u = 9. What are the prime factors of o? 5 Let l(o) = 1 - 10*o + 0 + 0. Let n(d) = -d**3 + 12*d**2 - 10*d - 12. Let r be n(11). List the prime factors of l(r). 11 Let j = 6 + -2. Let o = 0 + j. Suppose -g - 6*n = -3*n + o, 0 = 3*g + 5*n - 4. What are the prime factors of g? 2 Suppose 5*z + 43 = 2*n, -2*z - z - 33 = -2*n. List the prime factors of n. 3 Suppose -r + 54 + 10 = 0. What are the prime factors of r? 2 Suppose 3*i - 4*i = 0. Let q(p) = -p**2 + 24. Let a be q(i). Suppose -5*o + 8 + a = 2*r, 0 = 3*r - 5*o - 23. What are the prime factors of r? 11 Let r(h) = -22 + 22 - h. List the prime factors of r(-6). 2, 3 Let v(a) = -6*a**3 - 2*a**2 + 2. Let b be v(-2). Suppose -3*p + 3*c = -b, 4*p - 5*c - 44 = 7. List the prime factors of p. 19 Suppose -c + 5 = 4*k, 0*k - 25 = 5*k - 5*c. Let z = 3 - k. Suppose -5*j + 43 = -4*o, 2*j - z*o - 11 = 9. What are the prime factors of j? 7 Let h be (-50)/(-4) - (-3)/(-6). Let y = h - 3. Let n = 3 + y. What are the prime factors of n? 2, 3 Suppose 39*m - 80 = 37*m. What are the prime factors of m? 2, 5 Let m(o) = o + 11. Let b be m(-9). What are the prime factors of 3/(-6) + 49/b? 2, 3 What are the prime factors of ((-22)/(-4) + -2)*4? 2, 7 Let n(z) = -z**2 + 0 - 5*z + 2 + 3. List the prime factors of n(-5). 5 Suppose -a - 2*a = -3*l + 75, -3*a - 133 = -5*l. List the prime factors of l. 29 Let o(c) = c**3 - c**2 + c + 3. Let d be o(0). Let g = d + 2. Let h = g - -5. What are the prime factors of h? 2, 5 Let j(k) be the third derivative of k**6/120 + k**5/30 - k**4/12 + k**3/6 - 6*k**2. Let g(d) = d + 2. Let z be g(-1). List the prime factors of j(z). 2 Suppose -w = 4*w - 440. List the prime factors of w. 2, 11 Let i(j) = -j - 6. Let b be i(-6). What are the prime factors of 1 + 33/3 + b? 2, 3 Let k(d) = -6*d + 3. Let o(p) = 2*p - 1. Let y(b) = -4*k(b) - 11*o(b). Suppose 3*m - 22 = -2*i - 1, -5*m + 28 = i. What are the prime factors of y(i)? 5 Let f = 10 - -10. List the prime factors of f. 2, 5 Suppose -9*v = v - 2120. What are the prime factors of v? 2, 53 Let g be (-12 - -2)*(-4)/10. Suppose g*a = -0*a + 12. Suppose -a*p + 16 = 4. What are the prime factors of p? 2 Let u = -9 - 12. List the prime factors of 295/7 + 3/u. 2, 3, 7 Let f be 1*-3 + 2/2. List the prime factors of 13 - -2 - (f + 3). 2, 7 Suppose 2*g - 5*g = -330. Suppose -a - z - 35 = 0, -a - 2*a = -2*z + g. List the prime factors of (-4)/(-3)*a/(-3). 2 Suppose -2*z = -5*h - 111, 8*h - 3*h + 68 = z. What are the prime factors of z? 43 Suppose 2 = -c + 7. Let x(d) = -9*d**3 - 3*d**2 - 4*d - 3. Let o be x(-2). Suppose c*r - 37 - 18 = 2*a, -5*r = -4*a - o. List the prime factors of r. 3 Let f = -52 - -87. List the prime factors of f. 5, 7 Let f(r) = -r**3 + 6*r**2 - 4. Suppose 4*i = 11 + 9. Let x be f(i). Suppose 0 - x = -3*t. What are the prime factors of t? 7 What are the prime factors of (-4)/(-18) + (-642)/(-27)? 2, 3 List the prime factors of 18/45 - (-226)/10. 23 Suppose t - 62 = -0*t - 5*p, 5*t - 3*p = 170. List the prime factors of t. 37 Suppose -7 = 2*p - 11. Suppose p*a - 125 = -3*a. Suppose -5*z + 29 - 6 = -4*t, t = 4*z - a. List the prime factors of z. 7 Let b(p) = p**3 + 6*p**2 - 2*p - 8. Let m be b(-6). Suppose -m*f + 0*f + 36 = 0. List the prime factors of f/6*20/6. 5 Suppose 2*l = -2*l - 4*b, -3*l - 4 = 4*b. Suppose -3 + 2 = w, 3*s = l*w + 13. Suppose 3*d + c = 18, s*c = -3*d + 4*d - 16. List the prime factors of d. 7 Let x(m) = 21*m - 8. What are the prime factors of x(11)? 223 Let j = 31 + -7. List the prime factors of j. 2, 3 Let z(q) = q**3 - 3*q**2 + 2*q**2 - 4*q**3
{ "pile_set_name": "DM Mathematics" }
3)/(v/v**0)**(-35) assuming v is positive. v**(451/13) Simplify (j/(j*j**(1/3)*j))**(-49)/(j**(-4/9)/((j*((j*j**(1/10))/j)/j)/j*j)) assuming j is positive. j**(5929/90) Simplify (m**(5/3)*m*m)/m**(2/55) assuming m is positive. m**(599/165) Simplify (m*m/(m*m/m**(2/17)))/m**(2/25)*m**(-3)/(m/(m**(-2/41)*m)*m*m) assuming m is positive. m**(-87319/17425) Simplify ((t**(-2/3)*t)/t)**25*(((t/t**(1/3))/t)/t)**(-1/10) assuming t is positive. t**(-248/15) Simplify m**(3/2)/(m**(-7/3)*m*m) assuming m is positive. m**(11/6) Simplify (b**8)**(-1/8) assuming b is positive. 1/b Simplify (i*i*i/i**(2/5)*i*i)/i*i*i/((i*i*i**(1/2))/i)*i**(-6)/i**(-3) assuming i is positive. i**(11/10) Simplify (n**(-1/3)/n)**(-6)*n**(-4/11)/(n/n**(-2)) assuming n is positive. n**(51/11) Simplify (((g/g**(-6))/g)**(3/8))**(-30) assuming g is positive. g**(-135/2) Simplify (t**(3/4))**(-1/9) assuming t is positive. t**(-1/12) Simplify ((q/(q/(q*q**(5/2)/q*q*q)*q*q))/(q**5*q))/((q/q**(-2/19)*q)/((q/q**(-1/12))/q*q)) assuming q is positive. q**(-1031/228) Simplify ((q/(q**1/q))/q*q**(-3)*q)**(-33) assuming q is positive. q**66 Simplify p**(-3/4)*p**(-4/19) assuming p is positive. p**(-73/76) Simplify (m/(m/(m**(6/5)*m)))**18 assuming m is positive. m**(198/5) Simplify (r/r**0*r)**(-49)/(r**(-1/5))**(7/5) assuming r is positive. r**(-2443/25) Simplify (q**2)**(-11/7)/((q**(-4)/q)/(((q*q*q*q*q*q**8)/q)/q)) assuming q is positive. q**(90/7) Simplify (b/b**(-25)*b)/((b/(b*b*b/b**(-10/3)))/b) assuming b is positive. b**(100/3) Simplify h**8*h**(-2/5)*h**5*h**(-7) assuming h is positive. h**(28/5) Simplify f**(-10)*f*f**12*f assuming f is positive. f**4 Simplify (p**(-1/3)*p**(-2))**(4/11) assuming p is positive. p**(-28/33) Simplify ((q**1/q)/(q*q**4*q))/(q**(1/2)*q/(q/((q*q**(1/3))/q)*q)*q) assuming q is positive. q**(-41/6) Simplify (a/a**(-14))/(a*a*a**(-6/11)) assuming a is positive. a**(149/11) Simplify ((r*(r*(r/r**(-41))/r)/r)/r)/r**(6/7) assuming r is positive. r**(281/7) Simplify ((f*f*f**0*f)**(-1/4))**22 assuming f is positive. f**(-33/2) Simplify ((m**0*m)/(m*m**(-3)*m))/(m*m**7*m/((m**(-2)*m)/m)*m*m) assuming m is positive. m**(-11) Simplify n**(-2/5)/(n/((n/(n/(n/(n*n**1))))/n*n))*n**1/((n*n**(-3)*n)/n) assuming n is positive. n**(3/5) Simplify (q/(q/q**(-2/5)*q)*q*q)**(-40) assuming q is positive. q**(-24) Simplify (d**(-10)/d)**36 assuming d is positive. d**(-396) Simplify (o**3)**31 assuming o is positive. o**93 Simplify v**(2/5)/v*v/v**(-1/14) assuming v is positive. v**(33/70) Simplify (v**(-15)/v)/v*v**(9/4) assuming v is positive. v**(-59/4) Simplify r**(-37)/r**(-17) assuming r is positive. r**(-20) Simplify ((v*v/(v*v*v*v**(-5)*v*v))/v**6)**(17/5) assuming v is positive. v**(-68/5) Simplify (j**(1/2))**(-6/25)*j*j**(6/5)*j/j**(-3/2)*j*j assuming j is positive. j**(329/50) Simplify b**1/(b*b**(1/5))*(b**(-8)/b)/b**(-7/2) assuming b is positive. b**(-57/10) Simplify (((m**2/m)/m)/m**(-5))/(m**0*m)**(-5/12) assuming m is positive. m**(65/12) Simplify w/(w/((w/(w*w**(1/4)))/w))*w**(1/3)*(w**(-5)*w)/w**(-4) assuming w is positive. w**(-11/12) Simplify ((u**(2/5))**(-6/37))**(1/12) assuming u is positive. u**(-1/185) Simplify n/(n/(n**(2/7)*n)*n)*(n*n/((n**3/n)/n))/n assuming n is positive. n**(2/7) Simplify (a**(-1/3)/a)**(4/33)*a*a**5/a*a**0 assuming a is positive. a**(479/99) Simplify (s*s**2*s*s)**(17/6)/(s**(-3)*s**(-3)/s) assuming s is positive. s**(127/6) Simplify z**(-2/11)*z**(-7/5) assuming z is positive. z**(-87/55) Simplify s**20*s**(2/21) assuming s is positive. s**(422/21) Simplify (i**17/i*i*i**14)**(-13) assuming i is positive. i**(-403) Simplify (n**1)**(-2/33)/((n/(n/(n/((n*n**(2/7)/n)/n)*n)))/n**(-6)) assuming n is positive. n**(-2027/231) Simplify i/(i*i**11/i)*i**8 assuming i is positive. i**(-2) Simplify (i**(2/13)*i**(-5)*i)**(-2/29) assuming i is positive. i**(100/377) Simplify ((f*f/(f/(f/(f*f*f/(f**(-1)/f)))))/f)**(1/8)/(f*f**(2/7)*f*f/f**0) assuming f is positive. f**(-53/14) Simplify (f**(-2/19)/f**1)**(-2/85) assuming f is positive. f**(42/1615) Simplify (q/q**(-24))**(-7/13) assuming q is positive. q**(-175/13) Simplify ((i*i/i**(-1/2))/i)**23 assuming i is positive. i**(69/2) Simplify ((a**(-2))**(-15/8))**(3/20) assuming a is positive. a**(9/16) Simplify ((s/((((s**(1/4)/s)/s*s)/s)/s))/s)**(4/5)/(s**(2/27)/(s/s**(-2/9))) assuming s is positive. s**(452/135) Simplify r**(1/28)/(r**(8/13)*r) assuming r is positive. r**(-575/364) Simplify ((s/s**(-5/4))/s*s*s/(s/s**(-1)))/(s**(1/4))**(-20) assuming s is positive. s**(25/4) Simplify (((g*g/(g/(g*g/(g*(g**(1/4)/g)/g)*g)))/g)/g**(-2/11))**(-1/27) assuming g is positive. g**(-173/1188) Simplify h**(-4)/(h/(h*h**(-4)/h)*h*h)*(h*h**(-1/5)*h)/((h**(-1/3)*h)/h) assuming h is positive. h**(-133/15) Simplify ((a**(-5/2)/a)/(a*a**(-4/7)/a*a))**(-20/9) assuming a is positive. a**(550/63) Simplify s**(-3)*s**(-15) assuming s is positive. s**(-18) Simplify (h/h**(1/6))**(1/17) assuming h is positive. h**(5/102) Simplify (((f/f**6)/f)/f**15)**(1/23) assuming f is positive. f**(-21/23) Simplify (k*k*k**(2/5))/(k**(-9)/k*k)*k**(1/3)*k**(5/6) assuming k is positive. k**(377/30) Simplify d**(-3)/d*d**6*(d**(-1)/d)**(6/7) assuming d is positive. d**(2/7) Simplify (o**(-2))**(2/161)*o**(-1)*o**(2/23) assuming o is positive. o**(-151/161) Simplify (n/(n/(n/(n*n**2))))**(1/28)/(n*n**2)**(-41) assuming n is positive. n**(1721/14) Simplify (b**(1/10)*(b*b*b*b**(-15)/b*b)/b*b*b*b)**(-21) assuming b is positive. b**(2079/10) Simplify (s**7*s*s)/(s**(-2/31)*s)*(s*s/(s**(-2)/s)*s)/(s/(s**(1/3)*s)) assuming s is positive. s**(1339/93) Simplify (w**(-20))**(-23/2) assuming w is positive. w**230 Simplify (q/(q/q**(5/3)))**0 assuming q is positive. 1 Simplify (c**(2/3)/c*c)/(c**(-2/9)/c)*c**(2/5)*c*c/c**(-1/9) assuming c is positive. c**(22/5) Simplify (j/j**6)**(-20/9) assuming j is positive. j**(100/9) Simplify ((c**1)**(41/5))**(-36) assuming c is positive. c**(-1476/5) Simplify v/v**2*v/v**0 assuming v is positive. 1 Simplify d*(d*d/((d*d**(-17)*d*d*d)/d))/d*d**10/d assuming d is positive. d**25 Simplify (c*(c/c**3)/c)/c*c*(c*c**(2/11))/c*c assuming c is positive. c**(-9/11) Simplify (a/(a/a**(-2/5)))**13*(a**(-2/5))**25 assuming a is positive. a**(-76/5) Simplify (z**(2/5)/z**7)/(z**(1/3)/z)**(-21/8) assuming z is positive. z**(-167/20) Simplify (x*((((x/(x*x**5))/x*x*x*x)/x)/x*x)/x*x*x)**47 assuming x is positive. x**(-94) Simplify (k/((k/k**(-17))/k*k*k))**(-10) assuming k is positive. k**180 Simplify r*r**2*(r/(((r/(r/(r/r**3*r)))/r*r)/r))/r*r*r**(-3/5)*r**6 assuming r is positive. r**(57/5) Simplify (u/(u*u/(u**0/u))*u)/(u*u/((u*(u/((u*u*u/u**(-9))/u))/u)/u))*(u/(u*u**(-4)/u))/(u/u**(1/6)) assuming u is positive. u**(-59/6) Simplify d**(2/11)/(d/(d*d**(-5)))*d**(-4)*d*d/d**(1/5) assuming d is positive. d**(-386/55) Simplify a*(a*a**(-26)/a)/a*(a**(-23)/a)/a*a assuming a is positive. a**(-50) Simplify (h/(h*(h*h/h**(-5))/h)*h)**(-8) assuming h is positive. h**40 Simplify (b**1/b)**(-26/3)/(b/b**1*b*b/b**(-1/5)) assuming b is positive. b**(-11/5) Simplify ((f/(f/(f/f**22)))/f)/f*f*f*(f/(f*f*f*f/f**(-5/2)*f*f*f*f))/f*f assuming f is positive. f**(-61/2) Simplify (q**(3/5)*q*q/(q/q**1))/(q**(-2/7))**31 assuming q is positive. q**(401/35) Simplify (o/(o*o**(-3)*o))/o**(-9)*o**(-1/7)*o**3 assuming o is positive. o**(97/7) Simplify (b/b**(-7/6)*b**14)**24 assuming b is positive. b**388 Simplify ((s**6/s)/(s/(s*s**(1/18))))**(4/35) assuming s is positive. s**(26/45) Simplify (w*w**(-2/3)*w*w*w)**42/(w/w**(-7)*(w/w**(-2/7))/w) assuming w is positive. w**(922/7) Simplify ((l**(-1))**(-3/14))**49 assuming l is positive. l**(21/2) Simplify ((k*k/(k*k*k/k**(-1))*k)**(-17))**(-16/5) assuming k is positive. k**(-272/5) Simplify (n**(-2/9))**30 assuming n is positive. n**(-20/3) Simplify ((y/(y*y**(1/2)))/y)**(-40) assuming y is positive. y**60 Simplify v**16*v*v**18/v*v assuming v is positive. v**35 Simplify ((g/g**(-1/25))/(g/(g*g*g**12)))**(-2/19) assuming g is positive. g**(-702/475) Simplify ((d/(d*d**(2/7)/d)*d)/d*d)**(-41) assuming d is positive. d**(-492/7) Simplify ((t*t*t**(-4)*t*t)/t*t)/t**7 assuming t is positive. t**(-7) Simplify (g**(-1/2)*g*g)**(18/11)*g/(g*g/(g**(-9/5)*g))*g*g**(-1/3)/g assuming g is positiv
{ "pile_set_name": "DM Mathematics" }
+ 43 = -3*u. Let g be (-1)/u - 11/(-6). Suppose -3*x + 30 = -g*x. What is the remainder when x is divided by 8? 6 Let b = 3 - 0. Suppose 25 = 3*w - 4*u, 2*u - 20 = 7*u. Suppose d - o - 6 = 0, w*d = -4*o + 20 + 5. What is the remainder when d is divided by b? 1 Suppose 9*b - 66 = 3*b. Suppose 5*q = -2*r + 89, -2*r - 3*q + 87 = -0*q. What is the remainder when r is divided by b? 9 Suppose 4*y - 3*y = 2. Suppose -28 - 96 = -y*q. Let n = 94 - q. Calculate the remainder when n is divided by 11. 10 Let u = -12 + 99. Suppose 2*z = t - 37, 4*t - t = -2*z + u. What is the remainder when t is divided by 16? 15 Suppose 30 = 5*d + 3*z, 5*z - 34 = -3*d - 0*z. Suppose -4*i + 23 = 3*n, 2*i + 0*n + d*n = 7. What is the remainder when 14 is divided by i? 6 Let x = -8 + 16. Suppose 2*r = 4*r - x. Let w(i) = i**3 + 4*i**2 - 16*i - 13. What is the remainder when w(-6) is divided by r? 3 Let t(x) = 12*x - 14. What is the remainder when t(4) is divided by 12? 10 Suppose 6*b - 45 = 3*b. What is the remainder when 53 is divided by b? 8 Let v(u) be the first derivative of -u**3 + u**2/2 - 4*u - 2. Let r be v(-3). Let a = r + 66. Calculate the remainder when a is divided by 17. 15 Suppose -3*o + 0*o - 5*n + 22 = 0, o = n - 6. What is the remainder when (o - 28/(-20))*30 is divided by 7? 5 Let r = -19 - -32. Let o(x) = x**2 - 2*x + 2. What is the remainder when o(-6) is divided by r? 11 Suppose -84 - 51 = -3*i. Suppose 0 = -4*j + j + i. What is the remainder when j is divided by 8? 7 Calculate the remainder when 376/28*(-3 + 10) is divided by 25. 19 Let x(o) = -o**3 + o**2 + o + 18. Calculate the remainder when 53 is divided by x(0). 17 Suppose 2*p = 4*p - 6. Calculate the remainder when p is divided by -2*((-3)/2 + 1). 0 Let w = 4 + 0. Suppose 4*v - w*p = 72, -3*p - 56 = -5*v + 40. What is the remainder when 62 is divided by v? 20 Suppose -7*z + 6*z + 12 = 0. Calculate the remainder when 45 is divided by z. 9 What is the remainder when 9/3 - (0/(-2) + -30) is divided by 17? 16 Let s(r) = -r**3 + 4. Let a = 12 - 15. Calculate the remainder when s(a) is divided by 16. 15 Let m = 3 + -2. Let z = 5 + m. What is the remainder when z is divided by 4? 2 Suppose -4*u - 2*l - 946 = -3*l, 4*u - 5*l + 954 = 0. Let f be 2/(-6) + u/(-6). Let g = f + -20. What is the remainder when 56 is divided by g? 18 Let p be 4/18 - 608/(-18). Let c = p - 19. Calculate the remainder when 43 is divided by c. 13 Let m = -6 + 9. Suppose q = 4*q - m*l - 15, 0 = 5*l - 20. What is the remainder when 17 is divided by q? 8 Suppose -4*c + 155 + 25 = 0. What is the remainder when c is divided by 16? 13 Suppose 5*g + 6*f = 2*f + 3, 2*f = -6. What is the remainder when g is divided by 2? 1 Suppose 3*m + 4*h - 8 = 2*m, -m + 14 = -2*h. Let r be 4 + (-2 - 3/(-3)). Suppose 3*w - 108 = -r. What is the remainder when w is divided by m? 11 Suppose -4*w + 14 + 101 = -5*j, 4*w = 4*j + 120. Suppose -10 - 44 = 4*a + 3*h, -3*a - 35 = 5*h. Let s = w + a. What is the remainder when 38 is divided by s? 18 Let l(o) = o**3 - 11*o**2 + o - 8. Let c be l(11). Suppose -2*b + u = -0*b - 7, 18 = c*b + u. What is the remainder when 13 is divided by b? 3 Let c(j) = 7*j**3 + 4*j**2 - 5*j + 4. Let a be c(3). Suppose -a + 40 = -3*t. Suppose 31 + 9 = 2*o. What is the remainder when t is divided by o? 18 Suppose 0 = 73*w - 69*w - 304. Calculate the remainder when w is divided by 27. 22 Let z(j) = -j + 6. Calculate the remainder when (19 + (-12)/(-4))*5/10 is divided by z(0). 5 Suppose 2*l - 5*i - 99 = 162, -669 = -5*l - 4*i. Suppose -5*w = -87 - l. What is the remainder when w is divided by 152/10 - (-1)/(-5)? 14 What is the remainder when (44 + -1)*(-7 - -8) is divided by 23? 20 Let d(s) = -s**2 - 11*s - 13. Calculate the remainder when -4 + 4/((-4)/(-23)) is divided by d(-9). 4 Let t(b) = 3*b - 1. Let k be -1*(2*-1 + 1). Let c be t(k). Suppose m - 45 = -3*u, -5*u - 145 = -c*m - 3*m. Calculate the remainder when m is divided by 9. 6 Suppose -4*o + 3*o = -14. What is the remainder when 40/(-3)*3/(-1) is divided by o? 12 Let i(w) = -w**2 - 8*w + 3. Let x be i(-6). Let t(d) = d**3 + 7*d**2 + 6*d + 8. Let u be t(-6). Let r = x + u. Calculate the remainder when r is divided by 8. 7 Suppose 12 - 75 = -3*y. What is the remainder when 39 is divided by y? 18 Let v = -22 - -64. Suppose -4*s = 2*d - v, -3*d + s - 5*s = -71. What is the remainder when 114 is divided by d? 27 Suppose v + 3*h - 4 = 0, -15 = -5*v - 4*h + 5. Calculate the remainder when (1 + -2)/(2/(-10) + 0) is divided by v. 1 What is the remainder when 58 is divided by ((-5)/(-40)*-4)/(1/(-30))? 13 What is the remainder when -3 + (-3 - -18*6) is divided by 21? 18 Let n be (1/(-1))/(0 - 1). Calculate the remainder when ((5 - -1) + -3)*n is divided by 3. 0 Let w = -14 + 26. Let g(z) = z**3 - 8*z**2 + 5*z - 12. Let y be g(8). Suppose 5*a = i + 96, -2*i - y = -2*a + w. Calculate the remainder when a is divided by 7. 5 Suppose -32 + 72 = 4*g. What is the remainder when 58 is divided by g? 8 Suppose 4*n - 3*n = u - 77, 0 = -5*n + 15. Calculate the remainder when u is divided by 14. 10 Suppose -5 = 5*a - 15. Suppose -150 = -a*c + 124. Suppose -4*y + 5*u + 7 = -191, 3*y = -2*u + c. Calculate the remainder when y is divided by 16. 15 Let b = -9 + 25. Calculate the remainder when b is divided by 9. 7 Let m = -2 + -3. Calculate the remainder when (4*-1)/((-2)/13) is divided by 27*(m/3)/(-5). 8 Let s = 34 + -21. Calculate the remainder when 49 is divided by s. 10 Let c(y) = -y**3 + 1. Let g be c(-1). Let v = g + 0. Suppose 1 = 2*b - b. Calculate the remainder when v is divided by b. 0 Let x(s) = -s**3 + 4*s**2 + 1. Let r be x(4). Let b(f) be the third derivative of f**4/4 - 3*f**2. What is the remainder when 16 is divided by b(r)? 4 Let q(x) = 5*x - 6. Suppose 12 + 4 = 4*d. Let l = 15 + -7. What is the remainder when q(d) is divided by l? 6 Let j = 4 - 3. Suppose 44 = 5*k - j. Let v(y) = y - 2. Calculate the remainder when 19 is divided by v(k). 5 Let v be (-2)/2 - 166/(-2). Suppose -12 + v = 5*s. What is the remainder when s is divided by 4? 2 Let h be (-1)/((-1)/34*2). Let y = 2 + h. Calculate the remainder when y is divided by 5. 4 Suppose -2*h + 14 = 3*s - 14, -5*s + 54 = -4*h. What is the remainder when 28 is divided by s? 8 Let x be (-6)/(-9) + (-10)/(-3). Suppose 3*q = -3*l + l + 53, -68 = -x*q - 2*l. Calculate the remainder when q is divided by 4. 3 Suppose 0 = 5*y - 25, -3*w + 23 + 146 = -4*y. Calculate the remainder when w is divided by 16. 15 Suppose s = 3*s - 60. Suppose -2*a = -s - 20. What is the remainder when a is divided by (-3)/(3 + 0) - -14? 12 Suppose -135 = -3*h + 2*m, 27 - 162 = -3*h + m. Calculate the remainder when 131 is divided by h. 41 What is the remainder when -1 + 6 - (-9 - 6) is divided by 3? 2 Suppose 6*j - 68 = 2*j - 4*u, 2*u - 68 = -4*j. Calculate the remainder when 45 is divided by j. 11 Suppose -p + 15 = s, 69 = 3*p + s + 20. Suppose 7*t - 590 + 135 = 0. Calculate the remainder when t is divided by p. 14 Suppose 0 = -3*t + 4*l + 9, -5*l - 1 + 4 = t. What is the remainder when t is divided by 1? 0 Let z be (-4)/(8/(-66)) + -3. Suppose z = 5*o - 0*o. What is the remainder when o is divided by 3? 0 Let r be -1 - 1 - 16/(-4). Suppose -4*v + w = -r*w - 20, 6 = -v - 2*w. Suppose v*s = 3*y + 2*y + 93, 2*y + 6 = 0. What is the remainder when s is divided by 20? 19 Suppose 0*g - 3*l - 3 = g, -3*g + 4*l + 17 = 0. Let x be (3 - 5)*(-106)/4. Suppose 70 + x = g*h. Calculate the remainder when h is divided by 14. 13 Let v(c) = -c - 3. Let t(j) = 3*j + 5. Let k(s) = 2*t(s) + 5*v(s). Calculate the remainder when 13 is divided by k(10). 3 Let a = 9 + -5. Suppose -6*h + 12 = -a*h. Calculate the remainder when 10 is divided by (-12)/h + 6*1. 2 Let b(k) be the third derivative of -13*k**4/12 + 5*k**2. Calculate the remainder when b(-2) is divided by 18. 16 Let x be (5*-3)/((-3)/2). Suppose x = 5*i - 10. Suppose l = -2 + i. What is the remainder when 4 is divided by l? 0 Let g = 2 - 1. Calculate the remainder when (-18 + -5)*(g + -2) is divided by 8. 7 Let p be ((-6)/(-5))/((-39)/130). Calculate the remainder when 1/(p/116*-1) is divided by 10. 9 Suppose 2*z - 26 + 2 = -4*m, -5*m = 2*z - 28. Calculate the remainder when 15 is divided by m. 3 Suppose -3*v + 4*v = -65. Let w
{ "pile_set_name": "DM Mathematics" }
AM? 11:12 AM How many minutes are there between 9:38 PM and 6:24 AM? 526 How many minutes are there between 6:31 PM and 2:05 AM? 454 What is 702 minutes after 7:58 PM? 7:40 AM How many minutes are there between 3:27 PM and 8:59 PM? 332 What is 687 minutes after 10:55 AM? 10:22 PM How many minutes are there between 11:29 PM and 6:27 AM? 418 What is 166 minutes after 8:26 AM? 11:12 AM How many minutes are there between 3:38 AM and 8:58 AM? 320 What is 661 minutes after 8:50 AM? 7:51 PM How many minutes are there between 4:15 PM and 10:27 PM? 372 What is 532 minutes after 6:37 PM? 3:29 AM What is 252 minutes after 3:25 AM? 7:37 AM What is 535 minutes after 1:48 AM? 10:43 AM How many minutes are there between 1:57 AM and 9:01 AM? 424 What is 552 minutes after 12:45 AM? 9:57 AM What is 197 minutes after 10:36 PM? 1:53 AM How many minutes are there between 12:58 AM and 6:39 AM? 341 What is 707 minutes after 5:33 AM? 5:20 PM What is 2 minutes before 1:10 AM? 1:08 AM How many minutes are there between 3:14 AM and 5:31 AM? 137 What is 644 minutes after 1:03 PM? 11:47 PM What is 91 minutes after 1:04 AM? 2:35 AM How many minutes are there between 4:29 PM and 2:26 AM? 597 How many minutes are there between 6:20 PM and 4:11 AM? 591 What is 394 minutes after 1:40 PM? 8:14 PM How many minutes are there between 5:56 AM and 5:18 PM? 682 How many minutes are there between 9:14 PM and 6:58 AM? 584 How many minutes are there between 11:09 PM and 3:05 AM? 236 What is 67 minutes after 1:02 AM? 2:09 AM What is 54 minutes before 9:25 AM? 8:31 AM How many minutes are there between 12:44 AM and 10:16 AM? 572 How many minutes are there between 7:27 AM and 8:27 AM? 60 How many minutes are there between 1:10 PM and 8:48 PM? 458 What is 315 minutes after 11:08 AM? 4:23 PM What is 76 minutes before 3:21 PM? 2:05 PM How many minutes are there between 2:04 PM and 12:24 AM? 620 How many minutes are there between 8:41 PM and 4:41 AM? 480 What is 318 minutes after 2:49 PM? 8:07 PM What is 617 minutes after 5:50 PM? 4:07 AM What is 636 minutes before 11:11 AM? 12:35 AM How many minutes are there between 10:00 AM and 2:06 PM? 246 What is 139 minutes after 11:27 AM? 1:46 PM How many minutes are there between 3:43 AM and 6:23 AM? 160 How many minutes are there between 7:09 AM and 12:13 PM? 304 How many minutes are there between 12:09 PM and 4:13 PM? 244 How many minutes are there between 1:25 PM and 6:56 PM? 331 How many minutes are there between 7:13 AM and 5:08 PM? 595 How many minutes are there between 1:28 PM and 9:05 PM? 457 What is 274 minutes after 2:52 AM? 7:26 AM How many minutes are there between 4:00 AM and 8:55 AM? 295 What is 44 minutes after 8:27 PM? 9:11 PM How many minutes are there between 12:09 PM and 3:31 PM? 202 What is 692 minutes before 5:16 AM? 5:44 PM How many minutes are there between 4:34 PM and 7:57 PM? 203 How many minutes are there between 6:02 PM and 3:01 AM? 539 How many minutes are there between 8:15 AM and 3:25 PM? 430 How many minutes are there between 12:55 PM and 11:57 PM? 662 What is 354 minutes before 9:06 PM? 3:12 PM How many minutes are there between 9:13 PM and 10:41 PM? 88 What is 25 minutes before 1:52 AM? 1:27 AM What is 488 minutes before 7:00 AM? 10:52 PM What is 388 minutes after 5:24 PM? 11:52 PM How many minutes are there between 4:53 PM and 6:59 PM? 126 What is 344 minutes after 7:29 AM? 1:13 PM What is 399 minutes before 12:15 AM? 5:36 PM How many minutes are there between 1:58 PM and 10:03 PM? 485 What is 175 minutes after 6:11 PM? 9:06 PM What is 468 minutes after 6:22 AM? 2:10 PM How many minutes are there between 12:05 PM and 12:53 PM? 48 What is 430 minutes before 4:21 AM? 9:11 PM How many minutes are there between 2:17 PM and 5:04 PM? 167 What is 643 minutes before 1:57 AM? 3:14 PM How many minutes are there between 2:08 AM and 8:24 AM? 376 What is 432 minutes after 1:34 AM? 8:46 AM How many minutes are there between 6:08 AM and 8:58 AM? 170 How many minutes are there between 8:28 AM and 1:53 PM? 325 What is 589 minutes after 1:27 AM? 11:16 AM What is 111 minutes before 9:01 AM? 7:10 AM What is 155 minutes after 8:58 PM? 11:33 PM How many minutes are there between 5:52 AM and 12:32 PM? 400 What is 612 minutes after 2:17 PM? 12:29 AM What is 708 minutes before 3:04 PM? 3:16 AM How many minutes are there between 11:32 AM and 7:53 PM? 501 What is 309 minutes after 2:21 AM? 7:30 AM How many minutes are there between 9:32 AM and 6:35 PM? 543 How many minutes are there between 2:21 AM and 6:32 AM? 251 How many minutes are there between 1:20 AM and 7:20 AM? 360 What is 406 minutes before 5:54 AM? 11:08 PM How many minutes are there between 2:05 AM and 8:45 AM? 400 What is 482 minutes after 6:02 PM? 2:04 AM How many minutes are there between 2:44 PM and 3:38 PM? 54 What is 283 minutes before 3:06 PM? 10:23 AM What is 266 minutes before 1:15 AM? 8:49 PM How many minutes are there between 7:20 AM and 10:44 AM? 204 How many minutes are there between 5:32 AM and 12:00 PM? 388 How many minutes are there between 5:34 AM and 7:29 AM? 115 How many minutes are there between 2:02 AM and 2:44 AM? 42 How many minutes are there between 5:55 AM and 9:55 AM? 240 How many minutes are there between 8:26 AM and 7:27 PM? 661 What is 141 minutes after 2:53 AM? 5:14 AM What is 667 minutes before 11:51 PM? 12:44 PM What is 631 minutes after 4:45 PM? 3:16 AM What is 636 minutes after 11:22 AM? 9:58 PM What is 410 minutes before 4:50 PM? 10:00 AM What is 250 minutes after 4:46 PM? 8:56 PM What is 404 minutes after 2:02 AM? 8:46 AM How many minutes are there between 10:22 PM and 8:10 AM? 588 How many minutes are there between 9:42 PM and 1:05 AM? 203 What is 327 minutes before 7:42 AM? 2:15 AM What is 48 minutes before 12:17 AM? 11:29 PM What is 631 minutes before 4:25 PM? 5:54 AM How many minutes are there between 10:43 PM and 5:10 AM? 387 How many minutes are there between 10:02 PM and 7:09 AM? 547 How many minutes are there between 11:52 AM and 2:08 PM? 136 What is 404 minutes after 9:19 PM? 4:03 AM How many minutes are there between 12:09 AM and 10:20 AM? 611 How many minutes are there between 10:49 PM and 4:02 AM? 313 How many minutes are there between 7:32 AM and 8:48 AM? 76 What is 585 minutes before 11:51 AM? 2:06 AM How many minutes are there between 10:11 PM and 8:55 AM? 644 What is 657 minutes before 11:30 PM? 12:33 PM How many minutes are there between 8:46 PM and 3:14 AM? 388 How many minutes are there between 10:31 AM and 5:40 PM? 429 How many minutes are there between 4:38 AM and 6:50 AM? 132 How many minutes are there between 4:49 AM and 5:14 AM? 25 What is 341 minutes before 5:59 PM? 12:18 PM How many minutes are there between 2:29 AM and 12:15 PM? 586 What is 538 minutes before 2:08 AM? 5:10 PM How many minutes are there between 5:39 AM and 9:01 AM? 202 How many minutes are there between 12:32 PM and 7:36 PM? 424 How many minutes are there between 10:11 AM and 12:35 PM? 144 What is 585 minutes after 9:15 AM? 7:00 PM How many minutes are there between 6:44 PM and 9:59 PM? 195 How many minutes are there between 9:41 AM and 2:51 PM? 310 How many minutes are there between 8:09 PM and 5:51 AM? 582 What is 408 minutes before 1:28 PM? 6:40 AM What is 612 minutes before 1:16 AM? 3:04 PM What is 240 minutes before 2:30 PM? 10:30 AM How many minutes are there between 10:47 AM and 8:25 PM? 578 What is 62 minutes after 2:24 AM? 3:26 AM How many minutes are there between 12:23 AM and 11:53 AM? 690 How many minutes are there between 4:21 PM and 6:05 PM? 104 What is 197 minutes before 12:10 AM? 8:53 PM What is 277 minutes before 10:53 PM? 6:16 PM What is 171 minutes before 6:22 AM? 3:31 AM What is 110 minutes after 4:45 PM? 6:35 PM How many minutes are there between 9:37 PM and 10:31 PM? 54 How many minutes are there between 7:59 AM and 1:20 PM? 321 What is 12 minutes after 5:17 AM? 5:29 AM How many minutes are there between 12:25 PM and 2:06 PM? 101 What is 191 minutes before 1:52 AM? 10:41 PM What is 355 minutes before 6:29 PM? 12:34 PM How many minutes are there between 11:09 PM and 9:20 AM? 611 What is 644 minutes after 3:19 PM? 2:03 AM How many minutes are there between 6:37 AM and 5:54 PM? 677 What is 165 minutes after 10:07 AM? 12:52 PM How m
{ "pile_set_name": "DM Mathematics" }