text
stringlengths
518
8.19k
meta
dict
r? 32 What is 940448 to the power of 1/10, to the nearest integer? 4 What is 687531 to the power of 1/5, to the nearest integer? 15 What is the sixth root of 5039868 to the nearest integer? 13 What is the ninth root of 576642 to the nearest integer? 4 What is 3150710 to the power of 1/2, to the nearest integer? 1775 What is 6773039 to the power of 1/2, to the nearest integer? 2603 What is the fifth root of 173001 to the nearest integer? 11 What is 1504620 to the power of 1/2, to the nearest integer? 1227 What is the fourth root of 1343902 to the nearest integer? 34 What is the square root of 140654 to the nearest integer? 375 What is the third root of 144830 to the nearest integer? 53 What is 198029 to the power of 1/3, to the nearest integer? 58 What is the third root of 1088453 to the nearest integer? 103 What is the fifth root of 1099047 to the nearest integer? 16 What is 62065 to the power of 1/7, to the nearest integer? 5 What is 1611504 to the power of 1/4, to the nearest integer? 36 What is 3640137 to the power of 1/2, to the nearest integer? 1908 What is the cube root of 120426 to the nearest integer? 49 What is the fourth root of 617635 to the nearest integer? 28 What is 335192 to the power of 1/4, to the nearest integer? 24 What is the third root of 626609 to the nearest integer? 86 What is the square root of 262467 to the nearest integer? 512 What is the fifth root of 527463 to the nearest integer? 14 What is 99572 to the power of 1/5, to the nearest integer? 10 What is the square root of 1202483 to the nearest integer? 1097 What is 23598598 to the power of 1/2, to the nearest integer? 4858 What is the seventh root of 88456 to the nearest integer? 5 What is 493593 to the power of 1/10, to the nearest integer? 4 What is the tenth root of 317090 to the nearest integer? 4 What is 620204 to the power of 1/3, to the nearest integer? 85 What is the cube root of 894928 to the nearest integer? 96 What is the cube root of 372625 to the nearest integer? 72 What is the tenth root of 1694792 to the nearest integer? 4 What is 27025 to the power of 1/2, to the nearest integer? 164 What is 12632967 to the power of 1/5, to the nearest integer? 26 What is 620403 to the power of 1/5, to the nearest integer? 14 What is the cube root of 2261406 to the nearest integer? 131 What is the eighth root of 5127525 to the nearest integer? 7 What is 23972116 to the power of 1/5, to the nearest integer? 30 What is the third root of 2781166 to the nearest integer? 141 What is the square root of 1977470 to the nearest integer? 1406 What is the seventh root of 6436023 to the nearest integer? 9 What is the cube root of 36822 to the nearest integer? 33 What is 110873 to the power of 1/2, to the nearest integer? 333 What is the third root of 419710 to the nearest integer? 75 What is the fifth root of 456491 to the nearest integer? 14 What is the cube root of 11337 to the nearest integer? 22 What is the square root of 100706 to the nearest integer? 317 What is the cube root of 673324 to the nearest integer? 88 What is the cube root of 2473549 to the nearest integer? 135 What is the square root of 384792 to the nearest integer? 620 What is 445280 to the power of 1/5, to the nearest integer? 13 What is 253444 to the power of 1/2, to the nearest integer? 503 What is the square root of 246093 to the nearest integer? 496 What is the square root of 43190 to the nearest integer? 208 What is 134856 to the power of 1/10, to the nearest integer? 3 What is 1345914 to the power of 1/2, to the nearest integer? 1160 What is 15802649 to the power of 1/8, to the nearest integer? 8 What is the cube root of 364092 to the nearest integer? 71 What is 319389 to the power of 1/3, to the nearest integer? 68 What is 2626202 to the power of 1/3, to the nearest integer? 138 What is 13007021 to the power of 1/3, to the nearest integer? 235 What is 6389308 to the power of 1/9, to the nearest integer? 6 What is the eighth root of 385526 to the nearest integer? 5 What is 7271001 to the power of 1/3, to the nearest integer? 194 What is 216222 to the power of 1/5, to the nearest integer? 12 What is the fourth root of 7384696 to the nearest integer? 52 What is 17695736 to the power of 1/3, to the nearest integer? 261 What is 945132 to the power of 1/3, to the nearest integer? 98 What is 62650 to the power of 1/5, to the nearest integer? 9 What is the third root of 5485299 to the nearest integer? 176 What is 3986097 to the power of 1/2, to the nearest integer? 1997 What is 350971 to the power of 1/9, to the nearest integer? 4 What is 583764 to the power of 1/8, to the nearest integer? 5 What is the cube root of 10376434 to the nearest integer? 218 What is the third root of 495661 to the nearest integer? 79 What is the square root of 17016405 to the nearest integer? 4125 What is 16691 to the power of 1/2, to the nearest integer? 129 What is the cube root of 290760 to the nearest integer? 66 What is the eighth root of 4798583 to the nearest integer? 7 What is the third root of 513541 to the nearest integer? 80 What is the third root of 9818850 to the nearest integer? 214 What is 8810951 to the power of 1/3, to the nearest integer? 207 What is the third root of 8618899 to the nearest integer? 205 What is the tenth root of 14789631 to the nearest integer? 5 What is the third root of 276516 to the nearest integer? 65 What is 3672452 to the power of 1/3, to the nearest integer? 154 What is 348907 to the power of 1/4, to the nearest integer? 24 What is the third root of 36481 to the nearest integer? 33 What is the fourth root of 962678 to the nearest integer? 31 What is 8009349 to the power of 1/2, to the nearest integer? 2830 What is the ninth root of 123240 to the nearest integer? 4 What is the third root of 1827032 to the nearest integer? 122 What is 649765 to the power of 1/6, to the nearest integer? 9 What is the third root of 6768965 to the nearest integer? 189 What is the eighth root of 53834 to the nearest integer? 4 What is 16601220 to the power of 1/3, to the nearest integer? 255 What is 448504 to the power of 1/2, to the nearest integer? 670 What is 305898 to the power of 1/2, to the nearest integer? 553 What is the eighth root of 127898 to the nearest integer? 4 What is the eighth root of 3635874 to the nearest integer? 7 What is the cube root of 12357262 to the nearest integer? 231 What is 358998 to the power of 1/3, to the nearest integer? 71 What is 218002 to the power of 1/8, to the nearest integer? 5 What is 6369431 to the power of 1/3, to the nearest integer? 185 What is the third root of 5629389 to the nearest integer? 178 What is 170193 to the power of 1/3, to the nearest integer? 55 What is the fourth root of 3219 to the nearest integer? 8 What is 171964 to the power of 1/8, to the nearest integer? 5 What is 942437 to the power of 1/8, to the nearest integer? 6 What is 2398807 to the power of 1/2, to the nearest integer? 1549 What is the square root of 945513 to the nearest integer? 972 What is the cube root of 23614 to the nearest integer? 29 What is 148665 to the power of 1/2, to the nearest integer? 386 What is the cube root of 919698 to the nearest integer? 97 What is the eighth root of 12390813 to the nearest integer? 8 What is the tenth root of 151267 to the nearest integer? 3 What is the third root of 2563548 to the nearest integer? 137 What is the square root of 8100549 to the nearest integer? 2846 What is 724454 to the power of 1/4, to the nearest integer? 29 What is the square root of 16027908 to the nearest integer? 4003 What is the fifth root of 87607 to the nearest integer? 10 What is the cube root of 1891139 to the nearest integer? 124 What is 97612 to the power of 1/2, to the nearest integer? 312 What is the eighth root of 2415574 to the nearest integer? 6 What is the square root of 9434901 to the nearest integer? 3072 What is 2316456 to the power of 1/3, to the nearest integer? 132 What is the square root of 20562171 to the nearest integer? 4535 What is 23488068 to the power of 1/5, to the nearest integer? 30 What is 2184728 to the power of 1/2, to the nearest integer? 1478 What is the tenth root of 210180 to the nearest integer? 3 What is 12070737 to the power of 1/2,
{ "pile_set_name": "DM Mathematics" }
ose 13 = -0*u + u - 3*h, 4*u = -5*h + 1. Suppose 0 = d + 4*d - 2*t - 15, d - u*t = -15. Let n = -1 + 15. What is the remainder when n is divided by d? 4 Suppose z - 18 = -3*o, -3*o - o = -2*z + 26. Suppose 0 = -3*s - 2*s + 220. Calculate the remainder when s is divided by z. 14 Let p(q) = -q**2 + 10*q. Let w(i) = 1. Let m(y) = p(y) + 6*w(y). Calculate the remainder when (-5)/(-2)*4*1 is divided by m(10). 4 Let o(j) = 15*j**3 - 2*j + 1. Suppose 0 = 4*n - 3*m + 1 - 2, -5*m = -5. Calculate the remainder when 41 is divided by o(n). 13 Let i be (-2 + 5/4)*24. Let y = -34 - -51. What is the remainder when y is divided by i/12*10/(-3)? 2 Suppose 3*p = 18 + 24. What is the remainder when 25 is divided by p? 11 Suppose 7 = 3*h - 26. Calculate the remainder when 44 is divided by h. 0 Suppose 0 = 4*c - 8, 2*l - c - 7 = -1. Suppose -11 = 2*q - b - 4*b, 5*q - 3*b - 1 = 0. What is the remainder when 8 - ((-12)/(-3))/q is divided by l? 2 Let c(u) = 26*u**2 - 2*u + 1. Suppose 388 = f + 3*f. Calculate the remainder when f is divided by c(1). 22 Let d = -167 - -101. Let j = -40 - d. What is the remainder when 50 is divided by j? 24 Let h be (1 - 3)*3/6. Let j = 6 - 2. Let w = j - h. What is the remainder when 12 is divided by w? 2 Calculate the remainder when 2 + -4 - (-5 + -59) is divided by 21. 20 Suppose -3*c - 22 = -4*f, -1 = -4*f - 2*c + 31. Suppose 0 = 4*h + h + 240. Let r = 67 + h. What is the remainder when r is divided by f? 5 Let y = -118 - -122. Let z = 5 - 0. Calculate the remainder when z is divided by y. 1 Suppose -2*g = -6*g + 12. Suppose 3*n = -z + 11, -3*n + 5*n = g*z - 55. Suppose -z = -3*v + 28. Calculate the remainder when 43 is divided by v. 13 Let z(x) = -2*x**2 + 43*x - 29. Calculate the remainder when z(20) is divided by 3. 1 Let x(m) = m + 7. Let f be x(-5). Suppose 0 - f = -i. Suppose 4*g - i*g - 68 = 0. What is the remainder when g is divided by 12? 10 Let i(w) = -w**3 + 4*w**2 - 3*w + 1. Let d be i(3). Suppose 11 = 5*y + d. What is the remainder when 3 is divided by y? 1 Let b = 2 - 4. Let c = 2 + b. Suppose c = -0*f + f - 18. Calculate the remainder when 52 is divided by f. 16 Let k(d) = -8*d + 2. Suppose 4*m = m + 201. Let c = m + -42. Calculate the remainder when k(-9) is divided by c. 24 Let n(m) = 7*m - 3. Let x(c) = -c**3 + 4*c**2 - 3*c + 4. Let h be x(3). Let p = 0 + 9. What is the remainder when n(h) is divided by p? 7 Let l be 2/(-4)*8/(-2). Let y(z) = 3*z**3 + z**2 - z - 1. What is the remainder when 99 is divided by y(l)? 24 Let j(f) = -f + 5. Let y be j(3). Let w(x) = 0*x - x**y - x + 0*x + 13 - x**3. What is the remainder when w(0) is divided by 7? 6 Suppose -2*k + 7*p - 2*p + 33 = 0, 57 = 5*k - 4*p. Let j(d) = 3*d + 2. Let v be 86/18 + (-6)/(-27). Calculate the remainder when j(v) is divided by k. 8 Let v(q) = -3 + 3*q + 6*q - 3*q - 4*q. Let a be v(3). Calculate the remainder when 5 is divided by ((-15)/(-9) + -1)*a. 1 Calculate the remainder when 70 is divided by (-579)/(-15) + (-1 - (-2)/5). 32 Suppose 4*i = -3*w + 48, 3*w + 7*i - 45 = 2*i. Suppose w = -q + 6*q. Suppose -q*x = 3*z - 17, 3*x - 4*x = -z - 6. What is the remainder when 13 is divided by x? 3 Let h = 228 - 110. Calculate the remainder when h is divided by 30. 28 Suppose 6*j = 4*j + 78. Suppose -13 = -f - k - 1, 3*k + 4 = f. Calculate the remainder when j is divided by f. 9 Suppose 29 = 2*p + 5*y, 4*y = -0*p + p - 34. Calculate the remainder when 128/3 - (-2)/(-3) is divided by p. 20 Let p(u) = -4*u - 8. Let t be p(-9). Suppose -4*x - 3*r = -28, -2*x + 0*x = 5*r - t. Calculate the remainder when x is divided by 3. 1 Let v = 14 - 2. Let z = 7 - -14. What is the remainder when z is divided by v? 9 Let l(b) = -9*b - 1. Let h be l(2). Let a = -6 - h. Let p = -9 + a. What is the remainder when 7 is divided by p? 3 Suppose 0 = -o + 23 - 5. Suppose -w - 13 = -0*a - 3*a, -4 = -2*a + 3*w. Calculate the remainder when o is divided by a. 3 Let x be 36 + (1 + -1)/(-1). Calculate the remainder when (-27)/x + 230/8 is divided by 10. 8 Suppose 0 = -5*o + 113 - 28. Suppose o*r - 48 = 13*r. What is the remainder when 32 is divided by r? 8 Let n be (-8)/20 - (-568)/20. Suppose 30*u = 26*u + n. Calculate the remainder when u is divided by (-12)/(-10)*(-10)/(-4). 1 Let y(t) = t**3 + 4*t**2 + 2*t - 1. What is the remainder when 7 is divided by y(-3)? 1 Suppose i + 2 = -p, -4*i = -3*p - 18 - 2. Let f(s) = s**2 - 12*s + 2. Let k = -9 - -21. Calculate the remainder when i is divided by f(k). 0 Let p = -1 - -2. Suppose -8 - 48 = -3*r - 4*b, b - 5 = 0. What is the remainder when (p - -13)*5/2 is divided by r? 11 Let s = 364 - 234. Suppose 0 = 3*b - 7*b + 3*d + 77, -5*b - 3*d = -s. What is the remainder when (-22)/((-7 + 3)/8) is divided by b? 21 Suppose 0 = -4*r + 8*r - 120. Suppose -r = -2*t - 0*t. What is the remainder when (-436)/(-10) + 2/5 is divided by t? 14 Suppose -3*a - 2*a + 55 = 0. Let p(i) = 3*i**2 + i - 4. Suppose -5*v = g + 3 - 5, -5*g + 3*v = 18. Calculate the remainder when p(g) is divided by a. 9 Let f(p) = -p - 1. Let i be f(-5). Suppose i*n - 64 = 44. What is the remainder when n is divided by 10? 7 Let g = -219 - -124. Let b = 138 + g. What is the remainder when b is divided by 15? 13 Let x = -2 + 3. Let u(g) = 18*g**3 - 2*g**2 + 2*g - 1. Calculate the remainder when 50 is divided by u(x). 16 Suppose 6*m = 5*o + 3*m - 10, -3*m + 15 = 0. Suppose n - o = -0*n. What is the remainder when n is divided by 2? 1 Suppose -72 + 0 = -6*a. Calculate the remainder when 105 is divided by a. 9 Let s = 4 + -12. Calculate the remainder when ((-100)/s)/(1/2) is divided by 9. 7 Let t(v) = 20*v + 2. Suppose 0 = w - 3*w - 4. Let a be t(w). Let i = -8 - a. Calculate the remainder when i is divided by 16. 14 Let w(y) be the first derivative of y**4/4 + 8*y + 5. Calculate the remainder when 15 is divided by w(0). 7 Let h be -1 + 12 - (8 - 6). Let m = 18 - h. Suppose -v + m = 1. What is the remainder when 14 is divided by v? 6 Suppose -r + 5*r - 16 = 0. What is the remainder when 19 is divided by r? 3 Let v(i) = i**2 - i + 11. Calculate the remainder when 88 is divided by v(5). 26 Let l = -1 - 0. Let s be ((-4)/14)/(l/7). Calculate the remainder when 21 is divided by (5 - s) + -1 - -9. 10 Let y be 6/((-3)/(-63)*3). Let w = y + -15. What is the remainder when w is divided by 10? 7 Let t(b) = -b**2 - 9*b - 2. Let x be t(-8). Calculate the remainder when (x/(-3))/(6/(-129)) is divided by 15. 13 Let q(c) = c**3 - 3*c**2 + c. Let o be q(3). Let t be -1 + (0 - (-18)/o). Let g(s) = 3*s - 6. What is the remainder when 26 is divided by g(t)? 8 Let u(g) = -2*g**3 - 5*g**2 - 5*g - 3. Suppose 2*c = -5*z + 22, 0 = -3*c + z + 4*z + 8. Calculate the remainder when u(-3) is divided by c. 3 Let o(z) be the first derivative of -z**4/4 + 2*z**3 + 4*z**2 + 4*z - 4. What is the remainder when 20 is divided by o(7)? 9 Let i = 35 - -8. What is the remainder when i is divided by 15? 13 Suppose r = 3 + 5. Suppose 4*p - 28 = r. What is the remainder when ((-1)/2 - 0)*-50 is divided by p? 7 Let l(f) = -f + 9. Let g be l(7). Let q = g + 1. Suppose 7 + 5 = q*p. Calculate the remainder when 11 is divided by p. 3 Suppose g - 12 = 22. Let o = -67 - -115. Suppose 0 = 4*k - 0*k - o. What is the remainder when g is divided by k? 10 Let f = 21 + -15. Let w = -3 - -6. Suppose w*t - 48 = -3. Calculate the remainder when t is divided by f. 3 Suppose 0 = -4*y + 6*y + 6. Let i(p) = -p**2 - 5*p - 2. Let l be i(y). Suppose -8 = -l*q + 24. What is the remainder when 23 is divided by q? 7 Let w = 24 - -6. Let y(u) = 3*u**2 - u + 1. What is the remainder when w is divided by y(2)? 8 Suppose 0 = u - 7 - 4. Let x = u - -51. What is the remainder when x is divided by 21? 20 Let g be 1 - (-2)/(2/2). Let m be (-2)/g*(-4 - -1). Suppose -m*o + 13 = 1. Calculate the remainder when 16 is divided by o. 4 Let l(d) be the second derivative of 1/2*d**2 + 0 + 1/2*d**3 + 2*d. Calculate the remainder when l(7) is divided by 12. 10 Let z(p) = 18*p**2 - 10. Calculate the remainder when z(3) is divided by 39. 35 Let q = -11 - -58. Let a be 0/(0/3 + 1). Suppose 0*d + 5*d - 80 = a. Calculate the remainder when q is divided by d. 15 Let t be ((-130)/4)/(3/6). Let d = -30 - t. Suppose 2*p - 6 = -5*i, 3*p - 2*i - d = -3*i. Calculate the remainder whe
{ "pile_set_name": "DM Mathematics" }
w*r**2 + c*r + n and give w. -12 Express -45*w**2 - 4*w**2 - 8*w**2 as t + z*w + g*w**2 and give g. -57 Rearrange s**2 + s + 8*s + 72 - 72 to the form d*s**2 + a + y*s and give y. 9 Rearrange -24*n - 33*n - 2*n + 8*n to the form q + y*n and give y. -51 Rearrange (-5 + 16 - 7)*(-h**4 - 3*h**4 + 2*h**4) to the form i + n*h + v*h**4 + o*h**2 + y*h**3 and give v. -8 Rearrange 59 + 55*n - 59 to d*n + g and give d. 55 Express (-92*m - 298*m + 67*m)*(-1 - 2 + 5) as i + h*m and give h. -646 Rearrange (c + 0*c - 2*c + 1)*(-3 + 2 + 3) to the form k*c + b and give k. -2 Rearrange (5 - 2*l - 7 - 2*l - l**2)*(-14 + 23 - 16) to the form j + q*l**2 + t*l and give j. 14 Rearrange (0*y - 2*y**2 + 0*y)*(14*y + 16*y - 130*y**2 - 29*y) to the form q*y**4 + g*y**2 + c + z*y + f*y**3 and give f. -2 Express 2*s**3 + 4*s + 10 - 4*s - 3*s**2 + 3*s**3 + 3*s**2 + (2*s**3 + s**3 - 5*s**3)*(1 - 1 + 1) as c*s**2 + w + y*s + g*s**3 and give g. 3 Express -4*z**2 + z**2 - 3*z**2 - 3*z**3 - 8*z**2 in the form u*z + n*z**2 + t + d*z**3 and give d. -3 Rearrange (28 + 17 - 34)*(v - v - 2*v) to the form f*v + h and give f. -22 Rearrange -37*w**2 + 35*w**2 - 7*w**3 - 12*w**3 to u + q*w**3 + f*w + y*w**2 and give y. -2 Rearrange -10*n**2 - 9*n**2 + 40*n**2 - n - 10*n**2 to q + v*n**2 + m*n and give v. 11 Rearrange 0*i**4 - 3*i**4 + i**2 + 5*i**4 + (2*i**3 - i**3 - 3*i**3)*(-i + i + 3*i) to the form x + y*i + g*i**3 + v*i**4 + f*i**2 and give f. 1 Rearrange 17*a + 0*a**2 - 18*a + 3*a**2 - 5*a**4 to l*a**3 + z*a**4 + w*a + p + s*a**2 and give w. -1 Express (-2*c + 2*c - c**2)*(2*c + 0*c - 3*c + (c - c + 2*c)*(1 + 0 + 0)) in the form i*c + a*c**3 + t + w*c**2 and give a. -1 Rearrange (5 - 15 + 0)*(3*g**4 - 4*g**4 - 2*g**4) to the form q*g**3 + m*g + o + u*g**2 + b*g**4 and give b. 30 Rearrange 641 - y**2 - y**4 + 2*y**2 - 635 to g*y**3 + k*y**2 + l + t*y + i*y**4 and give k. 1 Rearrange -33*w - 12*w + 3*w to the form y + t*w and give t. -42 Rearrange -3*f**2 + f + 18*f**2 - 4*f**2 to d + r*f + w*f**2 and give w. 11 Rearrange 53 - 31*r - 53 to the form x + c*r and give c. -31 Rearrange (-3*y + 4*y - 3*y)*(2*y**2 + y - y) + y**3 - 5*y**3 - 2*y**3 + (y - 3*y + 3*y)*(5 - 5 + 2*y**2) to q + j*y**2 + t*y + w*y**3 and give w. -8 Rearrange 4 + 2*m**2 + 4 - 2*m**3 + 0*m**2 - 9 + 4*m**4 to the form q*m**4 + o*m**2 + i*m + d + z*m**3 and give z. -2 Express -16*n**4 - 5*n**2 + 5*n**2 + (-2*n**3 + 0 + 0)*(-n + 3*n - n) in the form t*n**3 + m*n**4 + r + g*n + v*n**2 and give m. -18 Rearrange 2*c**4 + 0*c**4 + 3*c**2 - 4*c**4 + 2*c to the form y*c**4 + d*c**2 + x*c**3 + q + v*c and give v. 2 Rearrange (-4*r**3 + 8*r**3 - 3*r**3)*(0*r + r - 2*r) + (0 + 0 + 2*r**3)*(-2 + r + 2) to u*r + t*r**3 + p*r**2 + v + w*r**4 and give w. 1 Rearrange -2*t**2 - t**3 - 2888 + 2888 - t**4 to the form p*t**4 + h*t**3 + l*t**2 + s + k*t and give p. -1 Express -52 - 47 + 4*q + 100 + 2*q**4 in the form l*q + a*q**4 + z*q**3 + j*q**2 + t and give t. 1 Express 4*k - 2*k - 3*k + (2*k - 2*k - 3*k)*(-4 + 1 + 2) as z*k + s and give s. 0 Express (5*v**2 - 2*v**2 - 2*v**2 - 2)*(-18 - 9*v + 18) as l*v**3 + d*v**2 + x + z*v and give l. -9 Express -4*z + 4*z**3 + 4*z - z**2 as i + q*z**3 + k*z + d*z**2 and give d. -1 Rearrange 14*t**2 - 19*t**2 + 87*t**2 to b*t**2 + m*t + r and give b. 82 Express 11*l - 10*l + 9*l as z*l + t and give z. 10 Rearrange (2*j - 2 + 2)*(2*j - j + j) - j**2 + 0*j**2 + 2*j**2 - 4*j - j**2 + 4*j - j**2 + 3 - 3 to the form k + m*j**2 + t*j and give k. 0 Rearrange -g**2 + 119 - 62 - 53 to f + p*g**2 + h*g and give f. 4 Express 8 - 5*u**2 + 0 - 8 + (-5*u + 4*u + 4*u)*(4*u - 2*u - 3*u) as t*u + i + y*u**2 and give y. -8 Express -6*c**2 + 2 - 4*c**2 + 9*c**2 - 1 as p*c**2 + n + k*c and give p. -1 Express 4*j**2 - 45*j + 45*j + (-5*j - 1 + 1)*(-2*j + 0*j + 4*j) in the form h*j**2 + f + i*j and give h. -6 Express (-m + 3 + m - 2*m)*(2*m - 7*m + 3*m + 1 - 1 - m + (-2*m + 4*m + 0*m)*(-1 + 3 - 1) + 8 - 8 + 9*m) as u*m**2 + t + w*m and give w. 24 Rearrange (2981 - 95*u - 2981)*(-2 + u + 2) to the form y + f*u**2 + q*u and give f. -95 Rearrange (-1 + 3 - 1)*(-6*j**2 + j**2 + j**2)*(-58 + 17*j + 58) to t*j**3 + d + n*j**2 + y*j and give t. -68 Rearrange 97*s - 97*s + s**3 - 2 to l*s + f*s**3 + n*s**2 + z and give z. -2 Express (4*l - 2*l + 0*l**2 - 6*l**2)*(2*l**2 - 2*l**2 - 2*l**2) as s*l**3 + z*l + n*l**4 + d + u*l**2 and give n. 12 Rearrange -2*j + 2*j**4 - 3*j**2 - 3 + 4*j**2 + 2*j**2 - 2*j**2 to i + k*j**2 + n*j**4 + q*j + u*j**3 and give i. -3 Rearrange -u + 3*u**4 + 2*u**2 + 1 + 3*u - 3 to w*u**4 + i*u + s*u**3 + q*u**2 + y and give w. 3 Express (131 - 86 + 231)*(3*w + 2*w - 4*w)*(3*w + 0*w - 5*w) in the form a + o*w**2 + v*w and give o. -552 Express 4 - 5 + 11*f**2 + 4*f**2 as g*f**2 + a*f + q and give g. 15 Rearrange (-3*x + 2*x - 2*x)*(0 - 1 + 2)*(x - 3*x - x)*(0*x + x - 2*x) to the form q*x**3 + j*x**2 + k + w*x and give q. -9 Express (28*q + 6*q - 11*q)*(-4*q + 5*q + 2*q) in the form t*q**2 + c + j*q and give t. 69 Express 2*q**3 - 8*q + 6*q**2 + 11*q - 4*q**3 in the form s*q**2 + g*q + m + v*q**3 and give s. 6 Rearrange 1 - 3702*g + 3702*g + 4 - 3*g**2 to b*g + u*g**2 + i and give u. -3 Express (w**3 - w**3 + 3*w**3)*(3 + 1 - 1)*(-w - 4*w + 3*w)*(-5 + 1 + 1) as t*w + d*w**2 + n*w**3 + f + l*w**4 and give n. 0 Express -4*m**2 - 2*m - 15 + 10 + 7 + 0*m as o*m**2 + i + s*m and give i. 2 Express 121*b - 4 + 3 - 122*b + 8*b**2 in the form q*b**2 + n*b + u and give q. 8 Express 14*k - 30*k + 1 + 14*k + 11 in the form b + r*k and give r. -2 Express -16*z**3 + z - 20*z**3 - 2*z**2 - 2 + 39*z**3 - z**4 in the form c*z**2 + p + v*z**4 + q*z + f*z**3 and give f. 3 Express (2*r + 0*r - 4*r)*(-5 + 3 + 4 + (-5 + 3 + 3)*(-2 - 2 + 2) + 4 + 7 - 4) as v*r + q and give v. -14 Express (2 - 2 + 2)*(-2 + 2 - 2*q)*(-3*q + 6*q - 2*q) in the form w*q**2 + v*q + u and give w. -4 Rearrange (q**2 + 2*q - 2*q)*(9*q - 6*q + 18*q + 1) to g*q**2 + x + a*q**3 + z*q and give z. 0 Express 296*c - 30*c**2 - 296*c in the form x*c + k + v*c**2 and give v. -30 Rearrange ((1 + 0 - 3)*(4 - 1 - 1) + 5 + 9 - 3)*(0*p**2 - 9*p**2 + 9*p + 7*p**2) to h*p + l + a*p**2 and give l. 0 Express p**4 + 0*p**4 + p**4 + 4*p**4 - 4*p**4 + p**4 + (-p**3 + p**3 - p**3)*(-7*p - p - p) in the form v*p**3 + x + h*p + m*p**4 + o*p**2 and give o. 0 Express (-2*g - g - 4*g)*(3 - 3 + 2)*(-4*g - g + 2*g) as n*g**2 + t + x*g and give n. 42 Express (0 - 1 + 0)*(-5*h**3 - 4*h**3 + 2*h**3 + (h + 2*h - h)*(3*h**2 + 2*h**2 - 3*h**2)) as l*h + r + k*h**3 + y*h**2 and give k. 3 Express -4*v**3 + 5*v**3 + v**2 + v**2 - 1 - 2 in the form q*v + y*v**2 + j + s*v**3 and give y. 2 Rearrange -8*h**2 - 3*h + 99*h**3 + h - 2 - 2*h**4 - 96*h**3 to k*h**3 + j + u*h**4 + w*h + l*h**2 and give l. -8 Rearrange -10*z + 14*z - 66*z to j*z + r and give j. -62 Express -29*u**2 - 40*u**2 + 13*u**2 in the form n*u + w + o*u**2 and give o. -56 Express (-f + 0*f - 4*f)*(-3 - 4 + 4)*(0 + 4 - 2) in the form r + o*f and give o. 30 Express 3*p**2 - p**4 + 0*p**2 - 12*p**3 + 9*p**3 - 2*p**2 in the form j*p + m*p**4 + q + c*p**2 + a*p**3 and give c. 1 Express 22*a - 6*a + 31*a + 5*a in the form n*a + x and give n. 52 Express 346 - 15*o - 346 in the form a + i*o and give a. 0 Express -3555*v**3 + 7*v**2 + 3557*v**3 - 3 + 0 as o*v**3 + a*v + q + c*v**2 and give c. 7 Rearrange -6*l - 2*l - l**2 + 16*l + 2*l**3 + 1 + 4*l to q*l**3 + t*l + n*l**2 + o and give o. 1 Express -4 + 4 + 16*l + (l - l + l)*(-6 + 1 + 1) as k*l + j and give k. 12 Express -a**4 - a**2 - 3*a + 11 - 11 + 2*a**3 + 2*a in the form o*a**3 + c*a**2 + j*a + x*a**4 + i and give x. -1 Express -2*w + 0*w + w + (0 + 3 - 5)*(-4 + w + 4) - 2*w - 2*w + 2*w - w - 2*w + w + 28 - 28 + 84*w in the form l + n*w and give n. 77 Express 41 - 50*s - 41 + 136*s in the form b*s + w and give b. 86 Rearrange (-25 + 21*v + 8 - 23*v)*(0*v**3 - 6*v**3 + 3*v**3) to q*v + r*v**2 + k*v**3 + w*v**4 + j and give r. 0 Express -j**3 + j**4 + 3990*j**2 - 3990*j**2 - 2 in the form z*j**3 + m*j + r*j**4 + d*j**2 + u and give u. -2 Express 2*k**4 - 3*k**4 - k**4 + (3 + 2 - 1)*(-1 + k**4 + 1) as f*k**4 + a*k + u*k**3 + x*k**2 + v and give f. 2 Express -2*c**2 - 5*c + 1 + 3 + 3*c - 1 in the form a + t*c**2 + x*c and give t. -2 Express (1 - 2 + 6)*(0*r + 3*r + 0*r) as u*r + h
{ "pile_set_name": "DM Mathematics" }