nder when f is divided by t?
16
Let l(o) = -o. Let q = 5 - 14. What is the remainder when l(q) is divided by -1 + 5 - (14 - 13)?
0
Suppose 0*b = 2*b - 12. Suppose -10*r = -b*r - 188. What is the remainder when 30/(-9) + 19210/102 is divided by r?
44
Suppose -39 - 33 = -24*z. Suppose 4*i - 184 = -z*k - 31, 2*i - 51 = -k. Calculate the remainder when 202 is divided by k.
49
Suppose -91 - 2393 = -138*z. Calculate the remainder when 1366 is divided by z.
16
Let b(s) be the second derivative of 5*s**3/6 - s**2/2 + s - 34. What is the remainder when 148 is divided by b(8)?
31
What is the remainder when 29*276*5/(-9 + 19) is divided by 89?
86
Let f = -52 - -324. Suppose -10*b = f - 1812. Calculate the remainder when b is divided by 31.
30
Suppose 21*i + 495 = 6*i. Calculate the remainder when 6/i - 7105/(-55) is divided by 15.
9
Suppose 0*j = -4*j + 140. Let c(y) be the second derivative of -y**3/2 - 21*y**2/2 + 36*y. What is the remainder when j is divided by c(-9)?
5
Let q(z) = -5*z**2 + 35*z + 10. Let y be q(7). Suppose -y*m = 4*m - 28. What is the remainder when 4 is divided by m?
0
Suppose p + 299 = 2*s, 1 - 6 = -s. Let j = 294 + p. Let o(h) = 47*h**2 + 1. Calculate the remainder when o(-1) is divided by j.
3
Let n(d) = -d + 13. Let j be n(13). Suppose j = -25*l + 9 + 191. What is the remainder when 52 is divided by l?
4
Let c(w) = w**3 + 9*w**2 + 8*w + 1. Let z be (-2 + 0 - -4) + 1. Suppose -10 = -u + d, -5*u + z*d + 46 = -0*u. What is the remainder when c(-6) is divided by u?
5
Suppose -s - 4*k = -7, 2*s - 6*k + k = -12. Calculate the remainder when 46 is divided by (-98 - 4)/6*s.
12
Let i = 12 + -12. Let t = i - -15. Suppose 3*p - 40 = -2*p. What is the remainder when t is divided by p?
7
Let r(f) = 19*f - 1358. What is the remainder when 569 is divided by r(73)?
18
Let p(k) = 432*k + 30 - 868*k + 431*k. Suppose -3*m - 15 = -54. What is the remainder when m is divided by p(5)?
3
Let p(y) = y**2 - 34*y + 6. Let n be p(34). Suppose 0 = 2*h + 3*x - 20, n*h - 4*h = -5*x + 20. Calculate the remainder when 33 is divided by h.
3
Suppose 0 = -4*x + 5*a + 3795, -24*x + 2854 = -21*x + 4*a. What is the remainder when x is divided by 164?
130
Let c(u) = 7*u**3 + 204*u**2 + 20*u - 12. Calculate the remainder when 1006 is divided by c(-29).
10
Let c(s) = 6*s**3 - 17*s**2 + 131*s - 204. What is the remainder when c(2) is divided by (-117)/(-5) - 4/10?
15
Let x(w) = 9*w - 16. Let m be x(2). Let h(t) = 3*t**2 + 4*t - 5. Calculate the remainder when 222 is divided by h(m).
12
Let c = 33 + -3. Suppose c*b = 4992 + 8178. Calculate the remainder when b is divided by 26.
23
Suppose -18*c = -33 - 3. Suppose -447 = -c*z - 13. Calculate the remainder when z is divided by 20.
17
Let f(g) = 5*g + 5. Let v = 16 - -3. Let s be f(v). Suppose -27 = -2*c - 2*t + 39, s = 4*c - 4*t. Calculate the remainder when c is divided by 10.
9
Suppose 15*w - 16*w = -37. Suppose -s = w - 45. Suppose 2*k + 90 = s*k. Calculate the remainder when 23 is divided by k.
8
Suppose -355 - 333 = 4*d. Let v = d + 194. What is the remainder when 87 is divided by v?
21
Suppose -6*w = 377 + 139. Let o = 90 + w. Let t = o - -39. Calculate the remainder when 126 is divided by t.
40
Let l = 14 + -12. Suppose 6 = 2*v - 2*k, -4*k = l*v - v - 23. Let i(y) = y**2 - 3*y + 2. Calculate the remainder when i(5) is divided by v.
5
Let d(y) be the first derivative of y**2/2 + 18*y - 13. Let q be d(18). Suppose 2*j = j + q. What is the remainder when j is divided by 8?
4
Let q = 929730 - 929711. What is the remainder when (2 - 28/6)*-9 is divided by q?
5
Let p be (-7)/(-5) + 8/(-20) - -4. What is the remainder when 29 is divided by (-131 + 134)/((10/12)/p)?
11
Let p(i) = 2*i + 200. Let w be p(-42). Suppose 0 = -3*q + 190 + w. Calculate the remainder when q is divided by (-2)/(-7) - (-290)/14.
18
Let n(d) = -69*d - 67. Let t be n(-12). What is the remainder when -1 - (t/(-8) - 19/(-152)) is divided by 31?
1
Let n be 24 + (2 - 1) + (-10)/10. What is the remainder when 236 is divided by (n/5)/(18/60)?
12
Suppose 21*g = 17*g - 3*n + 5869, 2*n = -4*g + 5866. What is the remainder when g is divided by 42?
37
Let p = -39 - -64. Let j = 18546 + -18533. What is the remainder when p is divided by j?
12
Let x be 5764/18 + -4 + (-204)/(-54). Let l = x + -310. Suppose -51 = -2*u + 3. What is the remainder when u is divided by l?
7
Let o = 6 + -11. Calculate the remainder when (-2)/o + (-1743)/(-105) is divided by 12.
5
Suppose 0 = -4*k - 3*n + 400, -294*k = -297*k - 5*n + 289. Calculate the remainder when 247 is divided by k.
41
Let f be 10/5 - (182 + 1 - -3). Let z = f - -204. Calculate the remainder when 139 is divided by z.
19
Let l(i) = -10*i**3 + 132*i**2 - 12*i - 64. Calculate the remainder when l(13) is divided by 31.
25
Suppose -1187 = -2*t + o, 20*t - 24*t - 3*o + 2339 = 0. What is the remainder when t is divided by 200?
190
Let s(i) = 5*i**2 + 82*i - 42. What is the remainder when s(-18) is divided by 46?
10
Let j be (-5 - 2)/((1 - 0) + -2). Let f be j*(-5 + 3)*(-2)/(-4). Let b = f + 19. Calculate the remainder when 21 is divided by b.
9
Let f(i) = 6*i**2 - 9*i - 1. Suppose 2*u = 2*q + 666, 3*u - 2*u + 5*q = 345. What is the remainder when u is divided by f(3)?
23
Let t be 5 + -6 + (22 - -1). Suppose -8*y - 3*y = -t. Suppose y*z - 16 = z. What is the remainder when 60 is divided by z?
12
Suppose 72*z = -5*m + 77*z + 15, 5*z = -2*m + 20. Suppose 0 = m*w + 2*x - 129, -w + 18*x = 22*x - 33. Calculate the remainder when 549 is divided by w.
24
Let s(x) = -47*x**3 + 10*x**2 + 15*x + 9. Calculate the remainder when s(-2) is divided by 105.
80
Suppose 8*k - 13*k = 3*a - 474, -k - 25*a + 46 = 0. What is the remainder when 561 is divided by k?
81
Let d be (1/2)/(7 + 41/(-6)). Calculate the remainder when d/2*(-2032)/(-12) is divided by 16.
14
Suppose 8*b = 6 + 18. Let t(p) = 0*p**3 + 12 + 16 - 4*p**3 + 25*p**2 + b*p + 3*p**3. What is the remainder when t(25) is divided by 26?
25
Let o(t) = 47*t + 383. What is the remainder when 354 is divided by o(-6)?
51
Suppose w = 2*r - 88 - 41, 0 = r + 4*w - 69. Suppose t + 4*s = 0, -20*t + r = -16*t + 3*s. Calculate the remainder when 56 is divided by t.
16
Let k(u) = -u**3 - 2*u**2 + u + 117. Let q be 9/(-27) - (-8)/(-3) - -3. Calculate the remainder when k(q) is divided by 30.
27
Let u = 2215 + -2138. What is the remainder when 124 is divided by u?
47
Suppose -d + 3*k - 5 = 0, 0 = 3*d + d + 3*k + 20. Let t = d + 147. Let h(q) = -q**3 - 12*q**2 - 41*q + 6. Calculate the remainder when t is divided by h(-5).
34
Suppose 21 = -9*r + 84. Suppose 3*c + 2 = -4*k + 7, -4*c - 10 = -3*k. Suppose 71 = 3*m - 5*v, -2*m - k*v + 43 = m. What is the remainder when m is divided by r?
3
Suppose 0 = -4*x + 2*d + 408, 4*x - d - 404 = 3*d. Let g = 116 - x. What is the remainder when 58 is divided by g?
6
Let t be (-3)/18 - (9471/(-18) - 1). Suppose 1873 = 24*v - t. What is the remainder when v is divided by 26?
22
Suppose 0 = -4*w - 3*g + 152, 11*g = -4*w + 16*g + 120. What is the remainder when 117 is divided by (100/(-14) - (-5)/w)*-3?
12
Let f(i) = -i**3 - 5*i**2 - 8*i - 7. Let d be f(-5). Let r be (-24)/(-84) - d/(-7). Suppose -r*z = -0*z - 155. Calculate the remainder when 60 is divided by z.
29
Let l be (14/(-3))/(2/(-9)). Let w = l - -7. What is the remainder when w is divided by -4 + 138/36 + 122/12?
8
Suppose 0 = 3*w - 4*k - 1175, -4*w + 1184 = -w + 5*k. Suppose -6*a + 639 = w. Calculate the remainder when 74 is divided by a.
33
Suppose 0*l = 2*l. Suppose l = -2*x + 5*x - 45. Suppose 4*g - 175 = 4*q - 7*q, 3*q = g - 40. What is the remainder when g is divided by x?
13
Let r = -1952 + 2429. Calculate the remainder when r is divided by 140.
57
Suppose -4*f = -b + 52, b + 4*f - 15 + 3 = 0. Suppose -5*v = -5*y - 230, -3*y = 3*v + 55 - 205. Calculate the remainder when v is divided by b.
16
Let w(d) = 2*d - 17. Let j be w(13). Suppose -4*h + j*h = 515. Calculate the remainder when h is divided by 27.
22
Suppose 5*u = -5*y + 45, 4*u + 3*y - y = 46. Let j(x) = -130*x + 37. Let w be j(2). Let c = w - -262. Calculate the remainder when c is divided by u.
11
Let f = -219 + 222. What is the remainder when ((-33)/(-2) + f)*(4 - 0) is divided by 20?
18
Suppose 1434 = 5*z - 4*x - 518, 3*z + 3*x = 1155. What