*t + 78. Calculate the remainder when i(3) is divided by 40.
30
Let t = 47 + -41. What is the remainder when (-12)/(-36) - (-418)/t is divided by 24?
22
Suppose 0 = -3*r + 9*r - 174. What is the remainder when 109 is divided by r?
22
Suppose -25 = -5*b, 0*b + 71 = 2*u - 3*b. Let y = u - 31. What is the remainder when 21 is divided by y?
9
Let h(v) = 18*v**2 + 2*v - 2. Let l be h(2). Let j = 112 - l. What is the remainder when j is divided by 20?
18
Suppose 0 = -0*c + 5*c - 40. Calculate the remainder when 3/2*c - (-48)/(-24) is divided by 3.
1
Calculate the remainder when ((-198)/8)/(144/(-1152)) is divided by 30.
18
Let w = -2519 - -2528. What is the remainder when 80 is divided by w?
8
Let o = -10 - -18. Let s be o/(-6)*63/(-14). Calculate the remainder when 53 is divided by 87/s - 1/2.
11
Suppose -2*f - 7*f + 297 = 0. Suppose -11*l + 308 = -f. What is the remainder when l is divided by 8?
7
What is the remainder when (-6 + (-13)/(-2))/((-6)/(-1236)) is divided by 47?
9
Let t(o) = -3*o**3 - 5*o**2 + 6*o + 17. What is the remainder when 535 is divided by t(-3)?
10
Let k(y) = -y**3 - 5*y**2 + 5*y + 6. Suppose 0 = 3*w - 10 + 1. Let j = w - 9. What is the remainder when k(j) is divided by 5?
2
Let o = -19 - -25. Suppose o*q + 63 = -q. Calculate the remainder when 29 is divided by (-27)/(-6)*(-12)/q.
5
Let c = -129 - -220. Suppose 2*o - 16 = 4*k, -6 = -o + k - 0. Suppose -o*z = -89 - c. What is the remainder when z is divided by 16?
13
Suppose 799 = 20*m - 381. Calculate the remainder when m is divided by 39.
20
Let y(u) = -10 - 2 - u - 2*u. Let o = -429 + 422. Calculate the remainder when y(o) is divided by 5.
4
Let u be (-2)/2*(-2 - (-465)/5). Suppose 3*m + 178 = 4*m. Let h = u + m. What is the remainder when h is divided by 30?
27
Let t be -1*(3 + -3)/4. Suppose -63 = -3*h - t*h. What is the remainder when 40 is divided by h?
19
Let k(i) = i + 1. Let o be k(6). Suppose -t = o - 37. Suppose 3*l + 5*n + 35 = 8*l, l - 5 = 3*n. Calculate the remainder when t is divided by l.
6
Let c = -9 - -9. Suppose 4*o + 90 - 314 = c. Suppose 0*k = k - o. What is the remainder when k is divided by 29?
27
Suppose 63 - 5 = -2*n. Let x = n + 40. What is the remainder when x is divided by 5 - 1/(1/(-1))?
5
Let h = 59 + -28. Suppose -2*x - 3*x = 15. Let c = 19 + x. Calculate the remainder when h is divided by c.
15
Suppose -2*l + 32 = x, 4*l - 12 + 28 = 0. Let h(i) be the third derivative of i**4/12 - 2*i**2. Calculate the remainder when x is divided by h(7).
12
Let n(p) = 18*p - 9. Let h(u) = -u**3 - 9*u**2 - 3*u - 22. Let z be h(-9). What is the remainder when n(z) is divided by 42?
39
Suppose 4*r = 2*w + 8*r + 14, 2*r = w - 9. Let i(b) = 23*b**2 - 1. Let a(m) = m**2 + 14*m + 9. What is the remainder when a(-16) is divided by i(w)?
19
Let c(d) = 3*d**2 - 12*d - 580. Calculate the remainder when c(-18) is divided by 88.
80
Let i(d) = -31*d + 965. Calculate the remainder when i(26) is divided by 33.
27
Let u = 259 - 150. What is the remainder when u is divided by 38?
33
Suppose s + 2 = -f - f, -3*f = 4*s - 2. Suppose -6*l + s*l + 52 = 0. Suppose -5*n + 25 = -0*n. Calculate the remainder when l is divided by n.
3
Let s(y) = y**3 + 2*y**2 - y + 1. Let f be s(-2). Suppose p = -5*g + 11, p - f*g - 2*g = 1. What is the remainder when 10 is divided by p?
4
Let q(m) = 5*m - 2. Let a(d) = -d - 18. Let b be a(-21). Suppose w + 1 = 0, 6*w - 37 = -5*t + b*w. Calculate the remainder when q(5) is divided by t.
7
Suppose -5*p - 65 = 5*m, -5*p - 57 = -m + 4*m. Let u = 28 + p. Calculate the remainder when 54 is divided by u.
16
Suppose -2*w + 40 = -82. Suppose 6*q - 45 - 279 = 0. Let x = -33 + q. Calculate the remainder when w is divided by x.
19
Let u(f) = 2*f**3 - 6*f**2 - 9*f - 14. What is the remainder when 326 is divided by u(5)?
39
Calculate the remainder when 4 + (-1029 + -3)/(-4) - -1 is divided by 38.
35
Suppose 0 = -5*g + 5*f + 35, -3*f - 5 = -11. Calculate the remainder when 12 is divided by g.
3
Suppose 0 = -5*t + c + 823, -7*t = -106*c + 110*c - 1163. Calculate the remainder when t is divided by 13.
9
Suppose -15 = -0*o - o + v, 5*o + 5*v - 85 = 0. Calculate the remainder when 4617/95 + 24/(-15) is divided by o.
15
Let w be (-4)/(-6) - 4/(-3). What is the remainder when (-103)/(-4) + (-1)/(-4) is divided by 1 + 1 + -1 + w?
2
Suppose -g - 4*b + 96 = -b, -4*g + 329 = b. Let q = g + -55. What is the remainder when q is divided by 9?
8
Suppose -10*u - 57 = -7*u. Let y = 22 + u. Suppose 0 = -y*j + 174 - 39. Calculate the remainder when j is divided by 23.
22
Let d = 72 - 51. Calculate the remainder when 33 is divided by d.
12
Let z(s) = -3*s - 7 + 0*s + 5*s - 3*s. Let l be z(-7). Suppose -5*q - 25 = l, 0 = -y + 2*y + 4*q + 10. What is the remainder when 27 is divided by y?
7
Suppose y + 25 = k - 4*y, y + 5 = 0. Suppose a - 1 = -2*d + 1, k = -2*d - 5*a - 14. Calculate the remainder when 50 is divided by (19 - 3) + -2 + d.
16
Let c = -256 - -400. Calculate the remainder when c is divided by 21.
18
Let x = -559 - -571. What is the remainder when 57 is divided by x?
9
Suppose 3*j - 6 = -0. Suppose 0*g + g = -j*p + 31, 5*g + 2*p = 195. Calculate the remainder when 79 is divided by g.
38
Suppose -1304 = 3*f - 1379. Calculate the remainder when 95 is divided by f.
20
Let a = 21 + -9. What is the remainder when 1222 is divided by a?
10
Let l(k) = 30*k - 37. Calculate the remainder when l(11) is divided by 42.
41
Let f = -41 - -45. Let j be (3 - (-6)/(-1)) + -10. Let z = -8 - j. What is the remainder when z is divided by f?
1
Let u(m) = 2*m - 2. Let q = 287 + -117. Suppose -7*b = -2*b - q. Calculate the remainder when b is divided by u(7).
10
Let d be 150 + 1/((-2)/8). Suppose 5*c - d = 3*f, 2*f + 2 = -2. Calculate the remainder when c is divided by 11.
6
Let t(r) = r**2 + 19. What is the remainder when 31 is divided by t(0)?
12
Suppose 0 = -9*p + 151 - 16. Calculate the remainder when 41 is divided by p.
11
What is the remainder when 18/54 + -10*(-78)/9 is divided by 74?
13
Calculate the remainder when 17/1 + -5 - (0 + 0) is divided by 4.
0
Suppose 24*s - 363 = 405. Calculate the remainder when 445 is divided by s.
29
Suppose 5*c + 93 - 913 = 0. Let n = c + -83. What is the remainder when n is divided by 12?
9
Let v = 72 - 63. Suppose -v*u + 68 = -5*u. What is the remainder when 100 is divided by u?
15
Let s = 386 - 323. Calculate the remainder when s is divided by 16.
15
Let g(u) = -u**3 + 21*u**2 + 21*u + 22. Let h be g(22). Let x(o) = -o**3 - 3*o + 55. Calculate the remainder when x(h) is divided by 29.
26
Let n(g) = g**3 + 27*g**2 - 68*g + 31. What is the remainder when n(-28) is divided by 64?
63
Let s(g) = 7*g**3 + g - 1. Calculate the remainder when s(2) is divided by 20.
17
Suppose 0*v = -2*v + 6. Suppose -351 = -6*x - v*x. Calculate the remainder when 75 is divided by x.
36
Let j = -36 + 38. Suppose 5 = j*p - 51. Calculate the remainder when p is divided by 8.
4
Let s(n) = -n**2 - 2*n - 3. Let f be s(-4). Let y = 98 + -92. Let b = y - f. Calculate the remainder when 66 is divided by b.
15
Let p = -12 - -72. What is the remainder when p is divided by 17?
9
Suppose 2*h - 146 = -4*i + h, 3*i + 4*h - 116 = 0. Let w = -33 + i. Calculate the remainder when (28/(-8))/(w/(-30)) is divided by 19.
16
Let a(s) = -s**2 + 5*s + 4. Suppose 228 = 92*z - 86*z. Calculate the remainder when z is divided by a(4).
6
Let f(n) be the second derivative of 2*n**3 + 9*n**2/2 + 16*n. Calculate the remainder when f(9) is divided by 31.
24
Suppose 5*t + 25 = 0, 5*t - 202 = -2*i + 61. Calculate the remainder when i is divided by 25.
19
Let l(k) = -k**3 - 7*k**2 - k - 5. Let j be l(-7). Suppose j*o + 3 = -2*r - 1, -3*r + 2*o + 19 = 0. What is the remainder when 11 is divided by r?
2
Let a be (-3)/(-6)*(-1 - -7). Suppose -j + a*j - 62 = 0. Suppose -5*z - j = -5*g + 34, g + 7 = -3*z. Calculate the remainder when 30 is divided by g.
6
Suppose -x + 25 = x - 3*i, 3*i = -15. What is the remainder when 1/(x - (-8)/(-2))*35 is divided by 12?
11
Let c be 12/(-8) - -2 - (-87)/6. Suppose 4*z - 73 = c. Suppose -p = -4*p + 123. What is the remainder when p is divided by z?
19
Let y = 8 - 11. Let d = 44 - y. Calculate the remainder when d is divided by 16.
15
Let q(r) = 35*r**2 - r. Suppose -3*m - w + 36 = 0, -