e remainder when 24 is divided by b.
0
Let f(y) = 45*y**3 + 7*y - 8. Calculate the remainder when 90 is divided by f(1).
2
Suppose 12 = 261*g - 257*g. Suppose -34 = -g*v + 2*f, 3*v = v - f + 18. What is the remainder when 39 is divided by v?
9
Suppose -a = a + 2. Let m be (a - 0)/((-13)/39). Suppose -m*g + 15 = -0. What is the remainder when 29 is divided by g?
4
Let p(i) = -i**3 + 7*i**2 + 11*i - 5. Let n = -4 - -6. Suppose -4 = -n*l - 5*m + 2, -4*l = -2*m - 36. Calculate the remainder when 73 is divided by p(l).
16
Suppose 2*m = -a + 212, 3*m - 15*a - 331 = -10*a. Calculate the remainder when 2779 is divided by m.
104
Let f(w) = 25*w**2 - 3 + 1 - 7*w - 15*w**2 - w**3. Let o be f(11). What is the remainder when 13 is divided by o/(-32) + 6/8?
6
Let s be (-2)/5*(-240)/2. Suppose 5*m = -20, 2*t = 4*m - 2*m + s. What is the remainder when 75 is divided by t?
15
Let z(l) = -5*l - 13. Let y be (-584)/28 - 3/21. What is the remainder when z(y) is divided by 32?
28
Suppose -i + 30 = -3*s, 0 = -i + 4*i + 2*s - 57. Let z = 15 - -69. Suppose 7*d = 2*x + 3*d - z, -4*x = -d - 161. Calculate the remainder when x is divided by i.
19
Suppose 0 = 4*i - 2*y - 24, 0 = -i + 4*y + 2 + 4. Let c(w) = w**2 + 10*w + 6. Let r be c(-7). Let k = r + 36. What is the remainder when k is divided by i?
3
Suppose 0 = 4*r + t + t + 130, -3*r = -4*t + 125. Let u = r + 14. Let g = -8 - u. Calculate the remainder when g is divided by 4.
1
Let q = -29 + 34. Let y(m) = m**2 - 3*m - 7. Let g be y(5). Suppose -2*x - 28 = -7*s + 3*s, q*s + g*x = 46. What is the remainder when 13 is divided by s?
5
Let t = -1645 + 1877. What is the remainder when t is divided by 77?
1
Let w(g) = g**3 - 11*g**2 + 8*g - 4. Let h be w(10). Let l = 12 + -49. Let a = h - l. Calculate the remainder when 36 is divided by a.
10
Suppose 2*i = 3*b - 2*i + 5, i + 10 = 3*b. Suppose -1 = 5*l + 5*u - 6, -5*l + b*u = -25. Calculate the remainder when 3 is divided by l.
0
Let x be (-2)/(-7) - (-3012)/42. Let i be (x/14)/((-8)/(-28)). Calculate the remainder when (i + 4)*(1 - 0) is divided by 6.
4
Suppose -5 = 3*j - r + 11, 0 = 3*j + 2*r + 31. Let n = 10 + j. Suppose 5*p + w - 146 = -2*w, -w = n*p - 86. What is the remainder when p is divided by 15?
13
Suppose 5*f + 0*f = 20. Let i = f + 5. Calculate the remainder when i is divided by 3.
0
Let b be 3/(2 - (3 + -2)). Suppose 0 = o + b*o + 56. Calculate the remainder when 4/(-14) - 998/o is divided by 18.
17
Let b(h) be the second derivative of h**5/20 + h**4/3 + h**2/2 - 8*h. Let s be b(-3). Suppose 2*i = s + 6. What is the remainder when i is divided by 2?
0
Let i = 82 + -95. Let c = 98 - i. What is the remainder when c is divided by 28?
27
Suppose 4 - 12 = -o + 2*a, 0 = 2*o + a - 16. What is the remainder when (-184)/138 - 262/(-3) is divided by o?
6
Let m = 29 - 59. Let w = m + 38. What is the remainder when 14 is divided by w?
6
What is the remainder when 162 is divided by (-31 + 9)*-1 - 8?
8
Let v(w) be the third derivative of -w**4/2 + 4*w**3/3 + 3*w**2. Let h = -40 + 36. What is the remainder when v(h) is divided by 19?
18
Suppose 25 = -5*i, -2*h + 4*i = 13 - 43. Let t = 83 + -59. What is the remainder when t is divided by h?
4
Let w(f) = 8*f - 25. Calculate the remainder when 53 is divided by w(5).
8
Let s(u) = 19*u**2 + 5*u + 9. Let y be s(-2). What is the remainder when 17 is divided by (22/5 - 4)*y/3?
7
Let m(t) = 7*t + 194. Let n be m(-28). Let q(w) = -2*w + 0 - 2*w + 4. Calculate the remainder when 31 is divided by q(n).
7
Let a = 156 + -111. What is the remainder when 16 is divided by 305/a + 136/(-36) + 4?
2
Calculate the remainder when -3*10/225 + 10934/105 is divided by 35.
34
Suppose 10*c = 5*c + 20. Suppose -183 + 8 = -4*r - 3*d, -c*r = 2*d - 170. Let k = -25 - -46. Calculate the remainder when r is divided by k.
19
Suppose -4*o - 23 + 3 = 0. Calculate the remainder when 62 is divided by (o + 9)/((-1)/(-4)).
14
Let n be 5/(10/(-12))*1. Let c(w) = 1 - 7*w + 1 + 0 - w**2. Calculate the remainder when 29 is divided by c(n).
5
Suppose 240 = 5*t + 35*t. Let l(g) = g**2 - 2*g - 4. Calculate the remainder when t is divided by l(4).
2
Let b(a) = -5*a**2 + 115*a + 23. What is the remainder when 734 is divided by b(23)?
21
Let d = -97 + 95. What is the remainder when d + 41 - (1 + 0) is divided by 7?
3
Let g(p) = -p**2 + 8*p + 3. Let x(y) = y**2 - 7*y + 2. Let q be x(5). Let f = 11 + q. What is the remainder when g(7) is divided by f?
1
Suppose -3*f - 15 = 18. Let u = 30 - f. What is the remainder when 121 is divided by u?
39
Suppose -2*o + t + 1165 = -4*t, t + 1767 = 3*o. Calculate the remainder when o is divided by 27.
23
Let g = 4 + 3. Calculate the remainder when ((-4)/6)/((-4)/144) is divided by g.
3
Let k(t) = -t**3 - 9*t**2 + 6*t - 13. Let x(o) = o**3 + 6*o**2 - 7*o - 11. Let h be x(-7). Calculate the remainder when k(h) is divided by 33.
31
Let b(k) be the first derivative of 5*k**2 - 21*k - 95. Let u be (-61)/(-7) + 2/7. What is the remainder when b(u) is divided by 24?
21
Let z = 68 - 36. What is the remainder when z is divided by (0 + 1)*3/(-6)*-22?
10
Let n = -70 - -60. Calculate the remainder when 346/5 + 2/n is divided by 18.
15
Let d = 221 + -149. Suppose 6*a = 3*a + d. Calculate the remainder when 142 is divided by a.
22
Let u(w) = -w**2 + 11*w + 9. Calculate the remainder when 10/2 - 4 - (-376)/4 is divided by u(8).
29
Suppose 2*k - 10 = -h + 88, -4*k + 490 = 5*h. Suppose h = 4*q + 282. Let u = q - -70. Calculate the remainder when 71 is divided by u.
23
Suppose -2 = 2*s, -23*c + 21*c = -2*s - 8. Calculate the remainder when 17 is divided by c.
2
Suppose 0 = 4*v - u + 16 - 130, 0 = v - u - 27. Calculate the remainder when v is divided by -10*(-3*1 - -2).
9
What is the remainder when 13/(65/430) + 4 is divided by 34?
22
What is the remainder when 233 is divided by 2*245/7 + -1 - 5?
41
Let h = -23 + 11. Let d be h/((-148)/(-152) - 1). Suppose -l + 5*l = 5*t - d, -3*t + 3*l + 276 = 0. Calculate the remainder when t is divided by 30.
28
Suppose -4*i - 15 = -3, -79 = -2*d + i. What is the remainder when 528 is divided by d?
34
Let t(i) = 2*i**2 + 23*i - 14. Calculate the remainder when t(15) is divided by 49.
46
Suppose 3*m - 11 = 76. Let h(o) = -o - 9. Suppose r + 1 = -14. What is the remainder when m is divided by h(r)?
5
Let y(z) = z**2 - 10*z - 9. Let u be y(11). Suppose 2*q + 38 = -u*h, 1 = -q + 2. Let b = -10 - h. What is the remainder when 39 is divided by b?
9
Let n = -14 + 23. Let f(a) = 9*a - 14. Let i be f(3). Suppose i*g - 3*g = 40. What is the remainder when n is divided by g?
1
Let l = -32 + 32. Suppose 0 = 2*g + 13 - 5, -4*v - 4*g - 4 = l. Suppose -v*u + 7 = -5. What is the remainder when 12 is divided by u?
0
Let z(a) = -a**2 + 6. Let y be z(3). What is the remainder when 13 is divided by (-4 - -5) + (3 - y)?
6
Let a = 15 + -5. Let z = 16 - a. Calculate the remainder when 21 is divided by (-16)/24 - (-70)/z.
10
Let p(h) = 52*h**2 + h - 7. What is the remainder when p(2) is divided by 24?
11
What is the remainder when 428*((-45)/6 + 8) is divided by 12?
10
Let h = -218 - -155. Let n = 131 + h. Calculate the remainder when n is divided by 18.
14
Suppose 2*d - 26 = 2*m, -3*d + 71 = -2*m + 7*m. Let o = 1311 - 1228. Calculate the remainder when o is divided by d.
15
Suppose -2*y = 5*i - 28, -4*i + 3*i = -5*y - 11. Let l(o) = -o**3 + 10. What is the remainder when l(0) is divided by i?
4
Let x = -5 - -8. Suppose 2*c = -3*k + x*c + 86, -k + 2*c = -27. Suppose -32 = -n - 3*n. Calculate the remainder when k is divided by n.
5
Let k = -59 - -58. Let p = k + 46. What is the remainder when 132 is divided by p?
42
Suppose -23 = 3*z - 35. Calculate the remainder when 87 + z/6*3 is divided by 23.
20
What is the remainder when (-6)/15 + (-27144)/(-260) is divided by 61?
43
Let y(h) = 3*h**2 - 9*h**2 - 3*h + 7*h**2 - 13. What is the remainder when 5 is divided by y(6)?
0
Let a = 45 + -35. Let v be 6/27 + 1328/18. Suppose k = 3*y - v - 17, -4*k = 4*y - 100. Calculate the remainder when y is divided by a.
9
Suppose -321*v = -320*v - 245. Calculate the remainder when v is divided by 78.
11
Let v(b) = b**3 + 4 - 4*b + b + 3*b**2 - 6 - 3*b. Let h be v(-4). Calculate the remainder when 57 is divided by (-3 - 2/h)*-9.
27
Let p = -8 - -10. Suppose -6 