 Let f = -34 + p. What is the remainder when 29*1 + 4 + -6 is divided by f?
13
Let c(z) be the first derivative of z**2/2 - 5*z + 2. Let i = 3 - 1. What is the remainder when i is divided by c(7)?
0
Let z(k) = k + 2. Suppose -12 = 2*s - 5*r - 51, -12 = -s + r. What is the remainder when 17 is divided by z(s)?
8
Suppose 2*m = 4*m - 50. Calculate the remainder when m is divided by 4.
1
Let k = 5 + -5. Suppose k = -3*j - 2*j + 90. What is the remainder when 35 is divided by j?
17
Let y(g) = 2*g**3 + g**2 + 4*g - 6. Suppose 5*q - 16 = q. Calculate the remainder when q is divided by y(1).
0
Let y = 7 + -4. Suppose 2*o - o = y. Suppose -4*j = o*g - 98, -j + 33 = g - 0*g. What is the remainder when g is divided by 12?
10
Suppose -86 = -4*n - 22. Let g(k) = k**2 + 4*k + 2. What is the remainder when g(5) is divided by n?
15
Let t = 8 + -5. Suppose 8 = t*j - 1. Calculate the remainder when 7 is divided by j.
1
Let t(a) = -a**2 + 6*a - 6. Let j be t(5). Let n(h) = -h + 23. Calculate the remainder when 1*(j - 0) - -16 is divided by n(15).
7
Let j = 11 - 7. Suppose 5*v = j*v + 26. What is the remainder when v is divided by 14?
12
Let m be (-2)/4 + (-1)/2. Calculate the remainder when 40 is divided by (3/2)/m*-14.
19
Calculate the remainder when (-606)/(-3)*(-2)/(-4) is divided by 17.
16
Let k = -3 - 0. Let p = 6 + k. Calculate the remainder when 1 - 2/(-1)*2 is divided by p.
2
Let t be 3/((-7)/4 + 1). Let i(l) = 2*l**2 + 5*l + 3. What is the remainder when i(t) is divided by 6?
3
Let o = 64 + -26. Let k(u) = -u + 11. Calculate the remainder when o is divided by k(-9).
18
Let o(f) = f + 9. Calculate the remainder when 4/(-2)*(-9 + 1) is divided by o(0).
7
What is the remainder when 35 is divided by (9/5 - -2) + 7/35?
3
Suppose 13 = q - 5*s, -4*q + 29 = -q - 5*s. Let y be (2/q)/(6/24). Let z = y - -3. Calculate the remainder when 15 is divided by z.
3
Let x = -288 + 486. What is the remainder when x is divided by 40?
38
Let y(v) = v**3 + v**2 + v - 1. Let l(c) = c**2 - 4*c + 2. Let i(a) = -l(a) - y(a). Suppose 32 + 43 = 5*s. What is the remainder when i(-5) is divided by s?
14
Let k(p) = p + 5. Let t be k(0). Let o = 11 - t. Suppose -l + 12 = 3*m - 0*l, 0 = -4*m + 2*l + 16. What is the remainder when o is divided by m?
2
Let h(k) = -k**2 - k + 5. Let t be h(0). Suppose 18 + 2 = t*j. Let q(b) = 6*b + 4. What is the remainder when q(j) is divided by 15?
13
Let z(k) = -k + 7. Let d be z(4). Suppose -d*y = 3*f - 7*y - 94, -3*f + 5*y = -98. What is the remainder when f is divided by (-61)/(-7) - 4/(-14)?
8
Suppose -5*k = -5*i + 3208 + 972, 3*i - 4*k - 2510 = 0. Suppose 3*y + 238 = -5*f + i, 2*f - 242 = -3*y. What is the remainder when f is divided by 30?
28
Suppose 0 = -4*l - 2*r + 60, r = 2*l - 3*l + 15. Let x = 22 - 13. Calculate the remainder when l is divided by x.
6
Let k(p) = 2*p + 2. Let n be k(-4). Let q = 5 - n. What is the remainder when q is divided by 4?
3
Suppose 0 = -5*b - 0*y - 2*y + 93, -2*y - 97 = -5*b. What is the remainder when 36 is divided by b?
17
Suppose -4*f - 2*m + 0 - 2 = 0, 5*f + 5*m = -5. Suppose 2*w - l - 22 = f, 2*w + 4*l - 17 - 5 = 0. What is the remainder when w is divided by 3?
2
Let u = -23 - -44. What is the remainder when 62 is divided by u?
20
Let i(j) = 4*j**2 - j - 1. Let b be i(-1). Suppose b*z - 344 = -84. Calculate the remainder when z is divided by 9/18 - 86/(-4).
21
Suppose -2*s + 7*s - 35 = 0. Let k(u) = u + 10. Suppose 2*m = -0*m - l + 17, 0 = 4*m - 4*l - 40. What is the remainder when k(m) is divided by s?
5
Suppose 44*k = 46*k - 10. Let l(h) = -5*h - 5. Let o be l(-5). Suppose 2*v + 4 = o. Calculate the remainder when v is divided by k.
3
Suppose 6*k + 0*k = 18. Suppose k*i = 2*i + 15. Suppose 5*t - 6 - 134 = 0. What is the remainder when t is divided by i?
13
Suppose -2*y + 5*j + 31 = 0, 0 = -y + 3*j - 5*j + 2. Let p be 1 + -6 + -6 + y. What is the remainder when 24 is divided by (-1 - -2)*p + 16?
11
Suppose 4*g - 4 = -2*k + 3*g, 2*k + 12 = -5*g. Calculate the remainder when 33 is divided by k.
1
Let n(d) = 4*d + 6. Let s be n(7). Suppose -36 = 4*t - 128. Let q = s - t. What is the remainder when 21 is divided by q?
10
Suppose -4*k + b + 227 = 4*b, 2*k + b = 113. Let s = -526 + 264. What is the remainder when k is divided by s/(-14) - (-18)/63?
18
Let q(c) = -c**2 - 9*c + 5. Let h be q(-9). Suppose 2*w = -0*w + 52. Suppose -h*k + w = -3*k. Calculate the remainder when 38 is divided by k.
12
Let o(p) = p**3 + 8*p**2 - 5*p. Calculate the remainder when o(-8) is divided by (3*1)/((-15)/(-70)).
12
Let u(v) = -2*v**3 - 5*v**2 - 3*v - 4. Let g(p) = -p**3 + 5*p**2 + p + 8. Let j be g(6). Let i = 61 + j. What is the remainder when i is divided by u(-3)?
11
Suppose -5*x + 3*z + 245 = 0, 3*x + 6*z - 123 = 3*z. What is the remainder when x is divided by 16?
14
Suppose -3*m + 8 = -31. Calculate the remainder when -4*((-95)/(-2))/(-5) is divided by m.
12
Let g(b) = -b + 9. Let c be g(7). Let t be c/(-8)*2*-2. Suppose -a + t = -4. Calculate the remainder when 9 is divided by a.
4
Suppose -5*b + 95 = -5*p, -4*b + p + 82 = -0*p. Let y be (1 - 2)*(b - -2). Let k = y - -34. What is the remainder when 20 is divided by k?
9
Let a(c) = -c + 6. Let k be a(3). Calculate the remainder when 35 is divided by k/(-2)*8*-1.
11
Let m(a) be the second derivative of 8*a**3/3 + a**2 - a. Calculate the remainder when m(3) is divided by 17.
16
Let d = 34 + -17. What is the remainder when 31 is divided by d?
14
Let u(v) = v**2 + 2*v. Calculate the remainder when (-428)/(-28) - 4/14 is divided by u(2).
7
Let o = 5 + 13. What is the remainder when 52 is divided by o?
16
Let i = -10 + 25. What is the remainder when 87 is divided by i?
12
Suppose 0*x - x + 52 = m, -2*m + 2*x + 112 = 0. Calculate the remainder when m is divided by 15.
9
Let m = 31 - 5. What is the remainder when (-8)/52 - (-836)/m is divided by 17?
15
Let u = -39 + 60. Calculate the remainder when 83 is divided by u.
20
Let w = 16 - 22. Suppose -q - 1 = 0, f - 8 = -0*f - 3*q. What is the remainder when 6/(w/(-20)*1) is divided by f?
9
Let r = 73 - 47. Calculate the remainder when r is divided by 9.
8
Let a be -2*5/(15/(-6)). Suppose -m - a*g = -1, 0*m - m - 3 = 5*g. What is the remainder when m is divided by 6?
5
Let x = 114 + -44. Suppose -3*f - 2*f = -x. Calculate the remainder when 26 is divided by f.
12
Calculate the remainder when 49 is divided by -46*4/(-8) - (0 + -3).
23
Let j(q) = 12*q**2 + 2*q + 2. Suppose 2*g + 10 = 5*m - 2*m, -2*m - 4 = 4*g. Suppose 64 = 2*c + m*c. Calculate the remainder when j(-2) is divided by c.
14
Suppose -4*r + 3 = -5*g - 8, 5*r - 2*g - 18 = 0. Let d = 2 + 3. Suppose d*v = -2*o + 5*o + 62, -22 = -3*v - 2*o. What is the remainder when v is divided by r?
2
Let s be (-2)/(-3) - (-50)/6. Let c = s + -5. What is the remainder when (-4)/(-10) - 136/(-10) is divided by c?
2
Suppose m - 2*d + 3 = -6*d, 16 = 4*m + 2*d. Suppose 3*z + h - 1 - 10 = 0, 4*h = -2*z - 6. Let r = -2 + z. Calculate the remainder when m is divided by r.
2
Suppose -28 = -3*b + 41. What is the remainder when 67 is divided by b?
21
Let g = -58 - -62. Calculate the remainder when g is divided by 2.
0
Let l be 16/(-6) - (-4)/6. What is the remainder when 1 is divided by (6/24)/(l/(-8))?
0
Let p(o) = -o**2 - 16*o + 36. Calculate the remainder when 143 is divided by p(-16).
35
Let g(f) = 26*f**3 + 2*f - 1. Calculate the remainder when g(1) is divided by 15.
12
Suppose k = 2*k. Suppose k = -3*c + 3*t + 15, -2*c - t = -2 - 2. Suppose 0 = c*w - 3, 5*i - 5*w - 155 = 0. Calculate the remainder when i is divided by 11.
10
Let o(r) = 39*r - 18. Calculate the remainder when o(4) is divided by 47.
44
Let x(h) = 17*h**3 - 1. What is the remainder when x(1) is divided by 5?
1
Let w(z) = z**2 + 12*z + 6. Let m be w(-11). Let p = m + 26. Calculate the remainder when 82 is divided by p.
19
Suppose 5*f = 75 + 85. What is the remainder when 91 is divided by f?
27
Let a(u) = -2*u - 5. Let t = -4 + 6. Let j be 12/(-9)*6/t. Calculate the remainder when 5 is divided by a(j).
2
Let h(b) = 3*b**3 - 3*b**2 + b + 2. Let n(g) = -4*g**3 + 3*g**2 - 3. Let c(f) = 3*h(f) + 2*n(f). Calculate the remainder when c(5) is divided by 17.
14
Let a = 91 - 40. What is the remainder when 149 is divided by a?
47
Let r(b) = 4*b. Wh