t k = d + 20. What is the remainder when k is divided by 14?
10
Suppose 0 = 145*q + 369 - 12259. Calculate the remainder when 1142 is divided by q.
76
Suppose 17*u = u - 512. Calculate the remainder when 268 is divided by (-32 - u) + -1 + 69.
64
Let p(y) = -2*y**2 - 8*y + 16. Let w be p(4). Let s = 51 + w. What is the remainder when ((-1)/s)/(22/(-1386)) is divided by 11?
10
Let c(a) = 985*a + 4. Let x be c(2). Suppose x - 7210 = -17*l. Calculate the remainder when l is divided by 39.
35
Let g = -5398 - -5590. Calculate the remainder when g is divided by 44.
16
Let o = -414 - -418. Suppose -o*j = 5*c - 340 - 745, 0 = -2*c + 3*j + 434. What is the remainder when c is divided by 13?
9
Let t be (0*(-1)/(-2))/1*-1. Suppose 4*h - 33 - 15 = t. Let x(a) = -a**3 + 12*a**2 + 2*a - 2. Calculate the remainder when 41 is divided by x(h).
19
Suppose -385 - 1019 = -6*o. Let j = -228 + o. What is the remainder when 161 is divided by j?
5
Let p = -292 + 295. Suppose -6 = -3*i, 0*i = p*r + i - 632. Calculate the remainder when r is divided by 53.
51
Let f(q) = q**2 + 9*q - 25. Let c be f(-13). Let z = c + -24. Suppose -2*d = -5*r + 11, -d + 24 - 2 = z*r. What is the remainder when 13 is divided by d?
6
Let s(b) be the third derivative of b**5/30 - b**4/4 - b**3/2 - 2*b**2. Suppose 8*j = 261 - 117. What is the remainder when s(6) is divided by j?
15
Suppose -1 = 5*r - 11. Suppose -4*g = -4*v - 20 - 116, v = -r*g + 56. What is the remainder when 68 is divided by g?
8
Suppose 68 = 3*m - g, 3*m - 70 = -36*g + 35*g. Calculate the remainder when (-1 + -121)*27/(-6) is divided by m.
20
Calculate the remainder when 14/(-105) - 1163191/(-795) is divided by 730.
3
Let g be (2 + 3/(-2))*0. Suppose 4*b + 42 - 102 = g. Calculate the remainder when b is divided by (-20)/30*(-3)/1.
1
Suppose 5*o - 53 = t, -o + 4*o - 2*t - 36 = 0. What is the remainder when (-23267)/(-265) + 2/o is divided by 30?
28
Let l(t) = 87*t - 507. Calculate the remainder when 984 is divided by l(6).
9
Let y be (-1 + -1 + 2)/(7/(-7)). Suppose -2*h + 3*n = -124, -152 = -y*h - 3*h - 4*n. Calculate the remainder when h is divided by 29.
27
Let k = 21 + -18. Suppose -d - 70 = -k*n, -d = 3*d - 8. Suppose -16*m - 48 = -n*m. Calculate the remainder when 40 is divided by m.
4
Let m be 24/1*(3 - 2). Suppose -m = 3*n - 180. Let w = -40 + n. Calculate the remainder when 34 is divided by w.
10
Let y be -3 + 15 + -4*(-7)/14. Suppose 10 = -2*b, 0*b + y = x + 2*b. What is the remainder when 33 is divided by x?
9
Let w(t) = 4*t**2 + 44*t + 6. Suppose p - 3*r = -3*p + 884, -198 = -p - 5*r. Suppose -10*f + 72 = -p. Calculate the remainder when w(-12) is divided by f.
25
Let h = 32 + -16. Let s(z) = 110*z**2 + 14711*z - 14712. What is the remainder when s(1) is divided by h?
13
Let d(u) = 18*u**2 + 5*u. Let k = 399 - 403. What is the remainder when d(k) is divided by 15?
13
Let v(d) = d**2 - 8*d - 4. Let t be v(9). Suppose 4*n + 6 = t*n. Let s(f) = -f**3 - 24*f**2 - f + 27. Calculate the remainder when s(-24) is divided by n.
3
Let p(q) be the first derivative of 3*q**2/2 + 11*q - 18. Let z be p(0). Suppose -z*o + 170 = 49. Calculate the remainder when o is divided by 5.
1
Let o = 130 + -130. Suppose o = -8*l - 532 - 60. Calculate the remainder when 77 is divided by (2 - -1)*1 - l/2.
37
Suppose 4*y - 6 = 10, 4*i = -y + 352. Suppose 35*k - 30*k - 220 = 0. Calculate the remainder when i is divided by k.
43
Suppose 5529 = 73*h - 1041. What is the remainder when 380 is divided by h?
20
Suppose 0 = 104*j + 13*j - 5031. Calculate the remainder when 2182 is divided by j.
32
Suppose -5*r + x + 112 = 0, x = -2*r + 25 + 17. Let l = -15 + r. Suppose -7*z - 17 + 101 = 0. What is the remainder when z is divided by l?
5
Suppose 0 = -3*p + 9, p + 29210 = d - 7977. Calculate the remainder when d is divided by 33.
32
Let g(i) = -i**3 + 2*i**2 + 4*i - 1. Let l be g(3). Suppose l*s = -4*s + 6. Calculate the remainder when (12/(-9))/(s*4/(-390)) is divided by 22.
20
Suppose -386 = -170*o + 172*o. Let r = -154 - o. What is the remainder when r is divided by 14?
11
Let r = 3594 - 3417. Calculate the remainder when r is divided by 49.
30
Let r(v) = -v**2 + 6*v + 60. Let h(w) = -5*w + 4. Let q be h(15). Let y = -50 - q. Calculate the remainder when r(0) is divided by y.
18
Let z = -33 + 36. Let a = 0 + z. Suppose -10 - 38 = -a*s. Calculate the remainder when 50 is divided by s.
2
Let p(t) = t**3 + 14*t**2 - 35*t - 9. Suppose 54*x = 68*x + 224. Calculate the remainder when p(x) is divided by 16.
7
Let a(f) = 8*f + 11*f**2 + 17 - f + 34 + f**3 + 7*f. What is the remainder when a(-8) is divided by 34?
29
Suppose -751*d + 2875 = -728*d. Calculate the remainder when d is divided by 107.
18
Suppose 83 = -8*t + 99. Suppose r + 3*v + 2 = 40, 0 = -2*r - t*v + 80. Calculate the remainder when 74 is divided by r.
33
Calculate the remainder when 539 is divided by (-31)/(7/105*-3).
74
Let x(n) = n**3 - 4*n**2 + 5*n - 6. Suppose -5*k + 0*j = 3*j - 20, 2*k + 2*j - 8 = 0. What is the remainder when 279 is divided by x(k)?
13
Suppose 4*a - 746 = -3*x - 0*x, 5*a + 2*x = 929. Let l = -125 + a. Calculate the remainder when l is divided by 13.
8
Suppose 93*z + 1393 = 96*z + j, 4*z = 2*j + 1834. Calculate the remainder when 476 is divided by z.
14
Suppose -20*x + 47 = -17*x + 5*i, 0 = -4*x - i + 57. Suppose -23*k + 999 = -x*k. Let v(h) = 2*h**2 - h - 1. Calculate the remainder when k is divided by v(3).
13
Suppose 3*o - 53 = 2*j + 352, -2*o + 289 = 5*j. Suppose -i = -3*t + 15 + 7, -3*i - 2*t = 110. Let r = i + 57. What is the remainder when o is divided by r?
22
Let t = 47 + -30. Let p(q) = -696*q + 4955. What is the remainder when p(7) is divided by t?
15
Suppose 5*r + 0*z = z + 611, -2*z = -4*r + 484. Let i = -94 + r. What is the remainder when 112 is divided by i?
25
Let t be 3 + 0*(-3)/(-21). Suppose 0 = -t*z - 10*h + 15*h + 56, -5*z - 2*h = -52. What is the remainder when 55 is divided by z?
7
Let b = 63 - -86. What is the remainder when b is divided by 49?
2
Suppose 0 = -2*z + 2*o + 36, 0 = 3*z + 5*o + 31 - 61. What is the remainder when 2684 is divided by z?
14
Let h be 10*(2/(-3) + 7/6). Suppose -z - 3*v = h, -5*v + 21 = 46. Calculate the remainder when 27 is divided by z.
7
Let o(z) = -5*z**2 - 150*z + 170. Calculate the remainder when 1196 is divided by o(-30).
6
Let c(a) = 20*a + 228. Let u be c(-34). Let x = 468 + u. Calculate the remainder when 42 is divided by x.
10
Let k = -321034 - -321508. Let i = -50 - -90. Calculate the remainder when k is divided by i.
34
Let a(p) = 24*p + 100. Let g(q) = -8*q - 33. Let v(b) = -2*a(b) - 7*g(b). Calculate the remainder when v(6) is divided by 8.
7
Suppose -237 = -5*g + 4*p, -5391*p + 5388*p + 6 = 0. What is the remainder when 2005 is divided by g?
45
Let k(n) = 5*n - 51. Let r = 160 + 10. What is the remainder when r is divided by k(14)?
18
Let j(u) = -42*u + 238. Let n be j(26). Let t = n + 974. Calculate the remainder when t is divided by 39.
3
Let a = 110687 - 110675. Suppose 2*c - 3*m - m - 1308 = 0, -m = -3*c + 1942. Calculate the remainder when c is divided by a.
10
Suppose 66 = -12*w + 6. Calculate the remainder when ((-7169)/642)/(-1 + w/(-6)) is divided by 25.
17
Calculate the remainder when 9 - (-240 + 0 + 6) is divided by 5.
3
What is the remainder when (-664)/(-1162) + ((-2)/14)/(1/(-23047)) is divided by 55?
48
Let j = 262 + -238. Suppose 0*q - 3 = q, 4*q + 82 = s. What is the remainder when s is divided by j?
22
Suppose 14*r - 12*r = 48. Let u be 168/16*2/3. Let o(s) = 2*s**2 - 11*s + 25. What is the remainder when o(u) is divided by r?
22
Let a(o) = 5*o**3 + 2*o**2 - 7*o - 1. Calculate the remainder when a(3) is divided by 42.
5
Let b = 111 - 99. Let y be ((32/6)/(-4))/((-2)/b). Let s(p) = -p**3 + 9*p**2 - 4*p - 17. Calculate the remainder when s(y) is divided by 5.
0
Let v be -2 + (-9)/(-2) - 24/16. Let y = 34 + v. Calculate the remainder when 67 is divided by y.
32
Suppose 0 = 168*h - 163*h - 140. What is the remainder when 84 is divided by h?
0
Suppose 16*l + 0*l - 2096 = 0. Let f = l - 125. What is the remainder when 9 is divided by f?
3
Suppose 11*z - 12*z + 21 = 0. Suppose -z*g + 17*g = -12. What is the remainder when g/(-9) - (-75)/9 is divided by 3?
2
Let r = -2322 - -2353. Calculate th