. Calculate the remainder when x(-12) is divided by 68.
67
Suppose -5*b - 3*p + 33 = 0, 5*b + 2*p = 6 + 31. Let v(h) = 2*h**2 - 13*h + 4. What is the remainder when v(b) is divided by 13?
10
Let m = -149 + 157. Calculate the remainder when 15 is divided by m.
7
Let h be (-1 + 4)/(3/(-4)). Let p(y) = -7*y + 3. What is the remainder when p(h) is divided by 0 + -3 - 0 - -11?
7
Let w = 479 - 466. Calculate the remainder when 41 is divided by w.
2
Suppose 0 = -2*u + 5*r + 2 + 14, 0 = -3*r - 6. Suppose -3 = u*v - 3*p, -p - 8 = -3*p. Suppose 28 = -2*m + 40. What is the remainder when m is divided by v?
0
Suppose 28 = 6*j - 2*j. Let q(z) = 16*z - 12. Calculate the remainder when q(2) is divided by j.
6
Let x(f) = f - 4. Let o(d) = -4 - d - 5 + 12. Calculate the remainder when o(-1) is divided by x(6).
0
Suppose 8*r = 13*r - 25. Let n = r - -44. What is the remainder when n is divided by 25?
24
Let i(l) = 6*l**3 + 2*l**2 - l. Calculate the remainder when i(2) is divided by 1/(7/2) - 655/(-35).
16
Let m(f) = 2*f**3 - 9*f**2 + 5*f + 1. Let g be m(4). Suppose 2*o - 2*b - 31 = 55, 203 = g*o + b. Calculate the remainder when o is divided by 4.
1
Suppose 579 - 2955 = -18*v. Calculate the remainder when 789 is divided by v.
129
Let a = 9 + -4. Suppose -5*o = -4*i - 16 + a, 4*i + 5 = 3*o. Calculate the remainder when 10 is divided by o.
1
Let g(b) = 2*b**2 + 5*b - 19. Suppose 5*c - 4*r = -1, 28 = -6*c + 10*c + 4*r. What is the remainder when 122 is divided by g(c)?
10
Let n = 847 + -828. Calculate the remainder when n is divided by (-3)/2*(2 + -10).
7
Let s = -57 + 75. What is the remainder when s is divided by 16?
2
Let p(n) = n**3 - 10*n**2 + 9*n + 52. Calculate the remainder when p(11) is divided by 19.
6
Suppose -4*x + 650 = 21*x. Let p = -5 - -23. Let a = p - 9. Calculate the remainder when x is divided by a.
8
What is the remainder when 8 is divided by (-24)/(12/(-2)) - 2?
0
Suppose -14*f + 122 + 368 = 0. Calculate the remainder when 43 is divided by f.
8
Let c(p) = -2*p + 12. Let t be c(-9). Suppose -7*i = -4*i - 48. Let q = t - i. Calculate the remainder when 23 is divided by q.
9
Let a = -2118 - -2192. Calculate the remainder when 1256 is divided by a.
72
Suppose -4*b + 4*a = 77 - 1, -2*b - 41 = a. Suppose 0*n = n - 37. Let j = n + b. What is the remainder when j is divided by 9?
8
Suppose -h = 3*h - 112. Suppose y + 3*y = h. Calculate the remainder when (-68)/8*(1 - 3) is divided by y.
3
Let p(m) = -m**3 + 20*m**2 - m - 333. Calculate the remainder when 359 is divided by p(19).
8
Suppose 4*c + 3*v - 152 = 4, 4*c + 2*v - 152 = 0. What is the remainder when 48 is divided by c?
12
Let r = 67 - 59. Suppose 25 = b - 5*j, -b - 4*j = b - 92. Let a = 68 - b. Calculate the remainder when a is divided by r.
4
Let f(z) = -z**3 + 8*z**2 - 4*z. Let g be f(3). Let s = g - 23. Calculate the remainder when 18 is divided by s.
8
Suppose -x + 11 = -4*j, 4*x + 3*j - 39 = -14. Calculate the remainder when 214 is divided by x.
4
Let s = -8 - -6. Let r(f) = 4*f**2 - 3*f - 1. Suppose -3*b + 6 = -2*b. Calculate the remainder when r(s) is divided by b.
3
Let w = 50 + -23. What is the remainder when 52 is divided by w?
25
Let j(i) = -i - 1 + 4 + 1 - 8. Let d be j(-7). Suppose d*u - 61 + 1 = 0. What is the remainder when u is divided by 7?
6
Let o = 672 + -665. Let v = 18 + -6. What is the remainder when v is divided by o?
5
Suppose -s - 21 = -5*s + 5*c, -3*s + 2*c = -14. What is the remainder when (6 + -8)/((-11)/((-165)/(-6))) is divided by s?
1
What is the remainder when ((-8)/(-28))/(16/(-28))*-622 is divided by 13?
12
Suppose 76 - 450 = -2*f. What is the remainder when 22/f + 1696/34 is divided by 11?
6
Calculate the remainder when (-2758)/35*(-45)/18 is divided by 11.
10
Let a(u) be the first derivative of 52*u**3/3 + u**2/2 + u - 8. Let y be a(2). Suppose -3*t = -y - 119. Calculate the remainder when t is divided by 28.
26
Let k = 23 + -6. Let l = -7 - 5. Let g = l + k. Calculate the remainder when 7 is divided by g.
2
Calculate the remainder when 502 is divided by (126 - (1 + 4)) + 5.
124
What is the remainder when 15/(-30) + (2 - (-71)/2) is divided by 6?
1
Let j = -1276 + 1286. What is the remainder when 1136 is divided by j?
6
Let n = -80 - -92. What is the remainder when 107 is divided by n?
11
Let y = 27 + -24. Suppose 0 = y*k - 3*c - 45, 45 = -3*k + 6*k + 5*c. What is the remainder when k is divided by 10?
5
Let r = -188 - -133. Let w = -20 - r. Suppose -2*x - v + 132 = 0, 6*x - 3*x - 207 = 3*v. Calculate the remainder when x is divided by w.
32
Let j = -1306 + 1336. Calculate the remainder when 1053/12 - (-1)/4 is divided by j.
28
Suppose -16 = d + 3*v + v, -v - 4 = 3*d. What is the remainder when (-52)/(-10)*(15 + d) is divided by 27?
24
Suppose -6*a + 4*a + 76 = 0. What is the remainder when a is divided by (12 - (-175)/(-14))/(((-10)/(-12))/(-5))?
2
Let u(s) = 15*s - 17. Let g be u(-8). Let p = g + 148. Calculate the remainder when 32 is divided by p.
10
Let r = -272 + 283. What is the remainder when 19 is divided by r?
8
Suppose 468 = 8*i - 1972. Calculate the remainder when i is divided by 57.
20
Let v = -16 - -7. Let w = 16 + v. What is the remainder when -6*(-2)/4 - -22 is divided by w?
4
Suppose i + 4 = 9. Calculate the remainder when ((-8)/((-240)/(-35)))/((-2)/12) is divided by i.
2
Let g be (42/(-18))/((-2)/(-6)). Let v(q) = 3*q**2 + 16*q - 6. What is the remainder when v(g) is divided by 16?
13
Let r be (133/(-21))/(2/(-6)). Let m = 6 - r. Let f = m - -24. What is the remainder when 30 is divided by f?
8
Suppose 0 = -4*h + 51 + 21. Suppose 2*p - 3*v - v = 86, -p + 58 = -5*v. What is the remainder when p is divided by h?
15
Let a(u) = -8*u + 5. Let t(n) = -12*n - 1. Let g be -7*(2/(-2) + 2). What is the remainder when t(g) is divided by a(-2)?
20
Let f(l) = l**3 - 11*l**2 - 13*l + 17. Let w be f(12). Suppose w*h - 165 = 2*h. What is the remainder when 3 is divided by h/35 - (-6)/14?
1
Suppose -430 = -16*u + 21*u. Let s = -61 - u. What is the remainder when 122 is divided by s?
22
Suppose 4*b + 30 = -166. Suppose -5*a - 42 = -3*a. What is the remainder when 25 is divided by (b/a)/(2/6)?
4
Let f(b) = -b + 0*b + 0 - 8. Let m be f(-5). What is the remainder when m/(3 + 80/(-26)) is divided by 10?
9
Let j be (5 - 3)*2/(-1) - -6. What is the remainder when 81 is divided by 28/70 - (j - 113/5)?
18
Calculate the remainder when 205 + -18 - (0 + -1 + 0) is divided by 31.
2
Suppose 432*l + 14 = 434*l. What is the remainder when 43 is divided by l?
1
Let m(x) = 7*x**2 - 4*x - 3. Suppose -18*g - 53 = -395. Calculate the remainder when m(4) is divided by g.
17
Let n = 109 + -74. Suppose 4*y = 11*y. Suppose y = 3*v + 2*v - n. What is the remainder when 20 is divided by v?
6
Suppose 2 = -u - 1. Let p(n) = -n + 5. Let d be p(u). Let b = d - -3. What is the remainder when 42 is divided by b?
9
Let t(k) = -k + 10. Calculate the remainder when t(6) is divided by 0 + 1 + 1 + (-276)/276.
0
Let g(b) = b. Let c(t) = 3*t + 1. Let w(q) = 2*c(q) - 5*g(q). What is the remainder when 744/30 + (-4)/(-20) is divided by w(5)?
4
Suppose -4*s = -u - 525, 0 = 5*s - 2*s - 2*u - 390. Suppose 7*b + s = 13*b. Calculate the remainder when 43 is divided by b.
21
Suppose 40 - 326 = -13*k. What is the remainder when 106 is divided by k?
18
Let b = 131 - 0. Suppose -b = -5*r + 89. What is the remainder when r is divided by 15?
14
Let z be (-2 - 10/(-4))*6. What is the remainder when 50 is divided by z - (-3 - (3 - 0))?
5
Let y(c) = 20*c + 1. Let b be y(-2). Calculate the remainder when (67 - -9) + 0/(-1) is divided by b*(4/6)/(-1).
24
Suppose -5*v + 280 = z + 155, v - 36 = 2*z. What is the remainder when 230 is divided by v?
22
Suppose -7*d - 1 = c - 3*d, -5*d = -c + 44. What is the remainder when c is divided by 12?
7
Suppose c - 8 - 2 = 0. Suppose 2*v - 4*l = 146, 0*v - 5*v + 344 = -3*l. Calculate the remainder when v is divided by c.
7
Calculate the remainder when 89 is divided by 1704/42 + (16/(-28) - 0).
9
Suppose 4*x - 189 = -0*s - s, 4*x - 5*s = 159. What is the remainder when 595 is divided by x?
43
Let y = 1093 - 983. Calculate the remainder when y is divided by 50.
10
Suppose -50 = -5*l + 3*d, -l + 5*d + 30 = 2*l. Let o = 123 - 65. Calculate the remainder when o is divided by (72