. Let d = a - 4. Suppose 0 = d*f - 33 - 35. What is the remainder when f is divided by 6?
5
Suppose 0 = 5*m - 828 - 22. Let n = -68 + m. Suppose n = 5*w - 63. Calculate the remainder when w is divided by 17.
16
Let i(y) = -3*y - 2. Let n(a) = -48*a - 33. Let s(l) = 99*i(l) - 6*n(l). Let u be s(1). Let x(r) = -2*r + 4. What is the remainder when x(u) is divided by 8?
6
Suppose 5*j - 4*g = -21, -4*j = -g + 9 - 1. Let w = 18 - j. What is the remainder when 55 is divided by w?
17
Let m = 86 - 34. Suppose 5*k - 93 - 167 = 0. Suppose 3*d - k = a, 3*d + 10 = 4*d - 4*a. What is the remainder when m is divided by d?
16
Suppose 55 = -3*m + 130. Calculate the remainder when 74 is divided by m.
24
Suppose -30*q = -38*q + 296. Suppose 5*f = p + 15, 10 = 3*f - f. What is the remainder when q is divided by p?
7
Suppose -3*n = 4*d - 32, -4*n - 2*d + 6*d = -24. What is the remainder when 37 is divided by n?
5
Let p = 6 + 4. What is the remainder when 38 is divided by p?
8
Suppose -24 = 4*o - 112. Calculate the remainder when 41 is divided by o.
19
Let r = 71 + -51. What is the remainder when r is divided by 11?
9
Let z = -23 - -34. Let j = z - -2. What is the remainder when j is divided by 5?
3
Suppose 0 = -y + 1 + 3, 3*n - 5*y + 2 = 0. Suppose 0 = 4*c + b - 16, 2*c + n = -4*b. Suppose 5 = -c*v + 60. What is the remainder when 31 is divided by v?
9
Let k = 3 - -37. What is the remainder when k is divided by 21?
19
Suppose 0 = -3*c + 11 + 61. Calculate the remainder when c is divided by 5.
4
Suppose -5*w - 17 - 38 = 0. Let o = w - -28. What is the remainder when 82 is divided by o?
14
Let a = -50 - -60. Calculate the remainder when 2/((-4)/(-54)*1) is divided by a.
7
Suppose 3*g - 30 - 12 = 0. What is the remainder when 40 is divided by g?
12
Let n be 5/2*(-12)/(-15). Suppose 5*i = 5*t + 240, 3 = n*t - t. Calculate the remainder when i is divided by 13.
12
Suppose -8 = 3*v - 2*h, -3*v - 12 = h - 4*h. Let t be v - ((-3)/3 + 0). Calculate the remainder when t - -1 - (0 + 1) is divided by 1.
0
Suppose 3*z - 12 = 162. Calculate the remainder when 113 is divided by z.
55
Suppose 2*c + 12 + 4 = 0. Let p(s) = s**2 + 0*s + 3*s + 3 + s - 1. What is the remainder when p(c) is divided by 12?
10
Let t be (-1)/4 - 15/(-12). Let c be (52/(-12))/(t/(-6)). Suppose -s - c = -3*s. Calculate the remainder when 38 is divided by s.
12
Suppose -3*r + 38 + 7 = 0. Suppose w - 2*y - 52 = 0, 4*w - 5*y - 80 = 116. Calculate the remainder when w is divided by r.
14
Let q be 30/4 + 4/(-8). Suppose q*o - 9 = 4*o. What is the remainder when 10 is divided by o?
1
Let f(y) = -y**3 - 9*y**2 + 16*y + 7. What is the remainder when f(-11) is divided by 19?
16
Calculate the remainder when 42 is divided by 1/(-3) - 438/(-18).
18
Suppose u - 260 = -3*f - 3*u, -5*f = -5*u - 410. What is the remainder when f is divided by 29?
26
Let c(r) = 3*r**2 - 2*r - 54. What is the remainder when c(7) is divided by 16?
15
Let l(p) = -p**3 - p**2 + p + 44. Let f be l(0). Suppose -o = 3*o - f. Let c(a) = a**3 + 5*a**2 - 2*a - 3. Calculate the remainder when c(-4) is divided by o.
10
Suppose 0 = 3*c - 186 - 201. Calculate the remainder when c is divided by 33.
30
Suppose 29 = r - 5. Suppose 4*b + b - 2 = -2*d, -3 = -3*b - 3*d. Suppose -48 = -b*o - 4*o. Calculate the remainder when r is divided by o.
10
Let k = 62 + -8. Let f = -20 + k. Calculate the remainder when f is divided by 12.
10
Suppose 2*v = -6 + 20. Calculate the remainder when 9 is divided by v.
2
Let p(y) = -y + 12. What is the remainder when 11 is divided by p(7)?
1
Let k(j) = 10*j + 6. Let z = -4 - -14. What is the remainder when k(z) is divided by 36?
34
Let k(z) = 9*z**2 + 2. What is the remainder when k(2) is divided by 35/2*(-32)/(-56)?
8
Suppose 5*i + 5*s - 160 = 0, -s = -4*i - 3*s + 118. Let j = -16 + -3. Let n = i + j. Calculate the remainder when 14 is divided by n.
6
Suppose 2*y + 7 = p, -2*p + 83 = 3*p + 2*y. Suppose 5*s + 4*x = 236, -s + 2*x + 24 = -3*x. What is the remainder when s is divided by p?
14
Suppose -5*g - 35 + 5 = 0. Calculate the remainder when 0 - (-3)/((-9)/g) is divided by 2.
0
Let g = 37 + 115. Calculate the remainder when g is divided by 14.
12
Let d be -3 + (2 + 43 - 1). Suppose -d + 5 = -4*l. What is the remainder when 33 is divided by l?
6
Suppose 3*p + 195 = 8*p. What is the remainder when p is divided by 11?
6
Let k(s) = s**2 - 11*s - 5. Let j be k(10). What is the remainder when 23 is divided by (-108)/j + 6/(-30)?
2
Let i(m) = -42*m - 8. Let k(b) = -14*b - 3. Let z(s) = -4*i(s) + 11*k(s). What is the remainder when z(2) is divided by 14?
13
Let n = 7 + -4. Let o = 2 - 0. Suppose r - n*x = 52, -o*r + 125 - 21 = 3*x. What is the remainder when r is divided by 18?
16
Let n be (-2)/(-2 + 16/6). Let j be n/9 - 10/6. Calculate the remainder when (-71)/j - (-2)/(-4) is divided by 12.
11
Let k(r) = r**3 - 8*r**2 - 10*r + 8. Let m = 10 - 1. Let q be k(m). What is the remainder when 27 is divided by (q/1)/(1/(-15))?
12
Let v be -1 - -2 - (3 - 1). What is the remainder when 32 is divided by 1 - v - (-10 - -1)?
10
Let y = 13 - 8. Suppose t + 15 = 5*f - 3*t, -y*f - 2*t + 15 = 0. Let d(u) = 2*u - 3. What is the remainder when 5 is divided by d(f)?
2
Suppose -51 = -9*x + 6*x. Let u(b) = -b**2 - 4*b + 4. Let p be u(-4). Suppose -p*d = 4*w - 272, 0 = 2*w + w - 9. Calculate the remainder when d is divided by x.
14
Suppose 4*j + g = -0*g + 188, 5*g - 94 = -2*j. What is the remainder when j is divided by 10?
7
Let j be 4/18 + 734/18. Suppose 0*f - f = -j. What is the remainder when f is divided by 14?
13
Suppose -4*o = -102 + 22. Suppose 8*d = 3*d + o. Suppose d*x = -3 + 67. What is the remainder when x is divided by 9?
7
Suppose -2*s - 50 = -2*n, -s = -2*n - 17 + 69. Calculate the remainder when 155/9 - 6/n is divided by 5.
2
Suppose 12 = -f + 4*f. Suppose -q + 22 = 3*s, f*q + 2*s - 78 = -0*q. What is the remainder when 55 is divided by q?
17
Let z(n) be the second derivative of n**3/2 - 11*n**2/2 - n. What is the remainder when 24 is divided by z(8)?
11
Let h(t) be the third derivative of -19*t**4/24 + t**2. Let s(a) = a**2 - 6*a + 9. Calculate the remainder when s(9) is divided by h(-1).
17
Let d = 58 + 40. What is the remainder when d is divided by 25?
23
Let r be (2 - 1)/1 + 1. Suppose -d - 224 = -5*l, -76 = -r*l - 4*d + d. What is the remainder when l is divided by 15?
14
Let w(i) = i + 13. Let x(g) = -g - 12. Let d(v) = -2*w(v) - 3*x(v). What is the remainder when 27 is divided by d(-3)?
6
Let o = 198 + -90. Let g = o - 53. Calculate the remainder when g is divided by 14.
13
Let z(q) = 23*q**3 - 1. Let s be z(1). Let j = s - 4. Let x = 70 + -35. What is the remainder when x is divided by j?
17
Suppose 64 = 11*z - 156. What is the remainder when z is divided by 11?
9
Suppose -q = -13*q + 1620. What is the remainder when q is divided by 17?
16
Let z(f) = 2*f + 6. Let g be z(-5). Let a = g + 5. Let c(m) = 2*m - 2. Calculate the remainder when c(2) is divided by a.
0
Let a(p) = 23*p**3 - 1 + 5*p**3 + 2*p + 41*p**3. What is the remainder when a(1) is divided by 24?
22
Suppose -d + 12 = 2*d. Suppose -d*n + 135 = -n. Calculate the remainder when n is divided by 23.
22
Suppose -2*d + 60 = 2*n, 0*d - 4*n = 5*d - 152. Calculate the remainder when d is divided by 7.
4
Suppose 4*c + 6 = -2. Let r be c/(-7) + (-1264)/14. Calculate the remainder when 6/3 - r/2 is divided by 16.
15
Let x(m) = -2*m**2 + 2*m - 2. Let n(i) = i**2. Let y(h) = -n(h) - x(h). Suppose -2*f - 3*f = -20. Calculate the remainder when 18 is divided by y(f).
8
Let l = 25 - 11. Let p(f) = 3*f + 4. Let d be p(-4). What is the remainder when l is divided by (-6)/(-2)*d/(-3)?
6
Suppose 2 = -5*s + 2*t + 7, -4*s - 2*t = -4. Suppose -m = 2*b + 2, 7 = 2*m - b + 1. Calculate the remainder when m is divided by s.
0
Let b(c) = c**3 + 2*c**2 - 2*c + 1. Let i be b(-3). Let l = 2 - i. What is the remainder when 7 is divided by l?
3
Suppose 0 = 4*i + l - 11, 4*i + 7*l = 2*l - 9. Calculate the remainder when 15 is divided by i.
3
Suppose 0 = -4*z + 5*z - 5. What is the remainder when z is divided by 4?
1
Let d(m) be the third derivative of -7*m**4/12 - 3*m**2. What is the remainder when 55 is divided by d(-1)?
13
Calculate the remainder when -14 + 11 - -1*87 is divided by 23.
15
Let z 