*v - 5*v - 39. Calculate the remainder when v is divided by 10.
9
Suppose -3*x = -39 - 9. Calculate the remainder when 77 is divided by x.
13
Let n = 25 + -9. Suppose x + 3*y = 4*y - 2, y = -x. Let d(u) = -46*u**3 + 2*u**2 + 2*u + 1. Calculate the remainder when d(x) is divided by n.
15
Let u(g) = g + 12. Let n be u(-10). Let b(s) = s**2 + 2*s - 3. Let q(h) = h**3 - 5*h**2 - 5*h - 3. Calculate the remainder when b(n) is divided by q(6).
2
Let o(n) = -n**3 - n**2 - 13. Let z be o(0). Let p = 16 - z. What is the remainder when p is divided by 16?
13
Suppose 0 = 5*f - 56 - 44. What is the remainder when 59 is divided by f?
19
Suppose 172 = 4*f - 8. What is the remainder when f is divided by 20?
5
Suppose 126 = -5*d + 11*d. Suppose -3 = -2*q + 9. What is the remainder when d is divided by q?
3
Suppose i - 11 = 21. Calculate the remainder when i is divided by 17.
15
Let l(a) = -4 + 10*a + 11*a + 9 - 9*a. Calculate the remainder when l(2) is divided by 11.
7
Let z be (-3 - -1) + (-8 - -11). Suppose 2*q - 4*m = 5 + z, 0 = q - 4*m - 3. What is the remainder when 0 + (-1 - 2*-2) is divided by q?
0
Suppose -y + 4 - 2 = 0, 5*o + 2*y = 254. Suppose o + 74 = 4*c. What is the remainder when c is divided by 3*66/54*3?
9
Let l(j) = -j**2 - j + 45. Let n(u) = u - 3. Let s be n(3). What is the remainder when l(s) is divided by (-7 + 6)/(2/(-46))?
22
Let w = -4 - -6. Let z = 11 + 11. Suppose z = 4*q - 2*g, -2*q - 5*g - 37 = -6*q. What is the remainder when q is divided by w?
1
Let h(p) = p**3 - 3*p**2. Let x be h(3). Let m = 4 + x. Suppose 16 = m*c + 4. Calculate the remainder when 7 is divided by c.
1
Suppose 2*o = 11 - 1. Suppose 0 = 4*v - p - 31, 0*v + o*v + 5*p - 70 = 0. What is the remainder when v is divided by 5?
4
Calculate the remainder when 25 is divided by ((-7)/14)/((-111)/108 - -1).
7
Suppose -h + 638 = 10*h. Calculate the remainder when h is divided by 22.
14
Let c(t) = -4*t - 4. What is the remainder when 37 is divided by c(-6)?
17
Let f(h) = -h**3 - 2*h**2 - 2*h - 1. Calculate the remainder when 54 is divided by f(-3).
12
Let d = -423 + 596. What is the remainder when d is divided by 25?
23
Let f(p) = -2*p + 2*p**2 - 2*p + 3 - 4. Calculate the remainder when 14 is divided by f(3).
4
Let d = -17 + -6. What is the remainder when (1/(-1) - d) + 1 is divided by 14?
9
Suppose f - 18 = -n, 2*f - 7*f + 90 = 2*n. Calculate the remainder when 83 is divided by f.
11
What is the remainder when (-4)/6*(0 + (-996)/8) is divided by 43?
40
Suppose 2*o + 3*o + 3*j = 858, 4*o + j - 692 = 0. What is the remainder when o is divided by 35?
34
Let y = -7 + 13. Let r be y/9*6 + 1. Suppose 2*u = r*u - 9. Calculate the remainder when 6 is divided by u.
0
Suppose -41 = 4*c + 2*a - 303, -2*a + 196 = 3*c. What is the remainder when c is divided by 17?
15
Suppose -27 - 78 = -7*a. Calculate the remainder when 72 is divided by a.
12
Calculate the remainder when 52*(-2)/((-24)/9)*2 is divided by 27.
24
Suppose 3*t + 2*o = t + 22, 0 = -3*t - 4*o + 37. Let b = t + -6. What is the remainder when b is divided by 1?
0
Suppose -2*f + b = -0*f - 26, 0 = 2*f + 3*b - 10. What is the remainder when 38 is divided by f?
5
Suppose -5*r + 5 = -20. Calculate the remainder when r is divided by (-5)/(-2)*28/70.
0
Let f(n) = -n**2 - 6*n + 6. Let q = -8 - -3. Calculate the remainder when 20 is divided by f(q).
9
Let d(i) = 5*i**2 + i. Let y be d(1). What is the remainder when 13 is divided by (-3)/(y/8*-1)?
1
Let v(k) = -k**3 + 5*k**2 + 6*k + 4. Suppose 5*c - 30 = -0*c. Let w = -86 + 93. What is the remainder when w is divided by v(c)?
3
Let s = 34 + 51. Calculate the remainder when s is divided by 23.
16
Suppose -2 = -2*k - 4*n, 4*k = -0*n - 2*n + 22. Let w = 11 - k. What is the remainder when w is divided by 2?
0
Suppose 0 = -3*w - 0*w + 6. Suppose -2*b = 2*f + b - 13, -w*f + 2*b = -28. What is the remainder when 1 - 1 - 31/(-1) is divided by f?
9
Let u = 13 + -8. Suppose 5*l + 2*s - 528 = 0, 4*l - 587 + 191 = u*s. Suppose 0*o = -4*o + l. Calculate the remainder when o is divided by 9.
8
Let z(x) = x**3 - 12*x**2 + 11*x + 8. Let d(h) = -13*h - 2. Let r be d(-1). What is the remainder when 31 is divided by z(r)?
7
Let o = 345 - 316. Let s(j) = j**3 + 4*j**2 - 2*j. Let z be 4/(-10) - (-26)/(-10). What is the remainder when o is divided by s(z)?
14
Suppose -8*c = -3*c - 145. Calculate the remainder when c is divided by 11.
7
Let q(y) = 14 + y + 0*y**3 - 10*y**2 + y**3 - 2*y**3. Calculate the remainder when (-3)/(-12) + 78/8 is divided by q(-10).
2
Suppose 5 = 2*f - 3. Suppose 0*b - 24 = -f*b. Calculate the remainder when 10 is divided by b.
4
Suppose j + 4*j - 124 = -g, -4*j = 4*g - 96. Calculate the remainder when 49 is divided by j.
24
Suppose 0 = -4*w - 12, -3*c + 3*w + 2*w = -105. What is the remainder when 87 is divided by c?
27
Let u(t) = t**3 - 6*t**2 - 9*t + 1. Let x be u(8). Suppose x = 6*d - 3*d. Calculate the remainder when d is divided by 5.
4
Let p = -20 - -2. Calculate the remainder when p*(2 + 13/(-3)) is divided by 22.
20
Let j(f) = f**3 + f**2 - f + 8. Suppose 0 = 3*t - t. Calculate the remainder when 29 is divided by j(t).
5
Suppose -10*l + 134 = -66. Calculate the remainder when 38 is divided by l.
18
What is the remainder when (-8)/5*455/(-2) is divided by 61?
59
Let s(l) be the first derivative of -l**3/3 + 3*l**2 + 7*l + 2. Suppose h - 4 = 2. What is the remainder when 12 is divided by s(h)?
5
Suppose 4*g - 2 - 6 = 0. Let y = 0 - -2. Calculate the remainder when 18*1/g*y is divided by 7.
4
Let v(t) = 9*t + 6. Let l be v(-7). What is the remainder when 32 is divided by (-6)/15 + l/(-5)?
10
Calculate the remainder when 65 is divided by 18 - (4 + -5)*-1.
14
Let t(d) = -8*d - 12. Suppose -4*h - 27 = -7*h. Suppose -2*m + 50 = 2*l + 2, h = m - 2*l. Calculate the remainder when t(-6) is divided by m.
17
Let o = -3 + 0. What is the remainder when 4/(-18) + (-202)/(-18) is divided by (27/18)/(o/(-8))?
3
Let w(o) = -o - 7. Let i be w(-10). Suppose i*u = -2*u + 55. Suppose 5*r - 2 = -3*x - 3, 2*x + 4*r = -2. Calculate the remainder when u is divided by x.
2
Calculate the remainder when 53 is divided by (-21)/(3*(-4)/8).
11
Suppose 6*k = 7*k - 9. What is the remainder when 29 is divided by k?
2
Let k(c) = -c**2 - 14*c - 1. What is the remainder when 21 is divided by k(-13)?
9
Let v(q) = q + 7. Let b be v(-6). Calculate the remainder when 25 is divided by (b*-1)/((-4)/36).
7
Suppose -136 - 428 = -4*d. Calculate the remainder when d is divided by 36.
33
Suppose 2*z + 5*h = 208, z + 2*h - 104 = 3*h. Suppose -2*q - q = -5*a - z, -4*a = q - 29. What is the remainder when 129 is divided by q?
30
Calculate the remainder when 56 is divided by (-2)/(48/(-579)) + 3/(-24).
8
Let d(n) = -2*n - 4. Let p = -16 + 41. What is the remainder when (-4)/10 + 60/p is divided by d(-3)?
0
Suppose 55 = -6*h + 11*h. Calculate the remainder when h is divided by (0 - -1 - -7) + -1.
4
Let v(h) = -3*h + 41. What is the remainder when 169 is divided by v(8)?
16
Let c = -54 + 104. Let t = 36 + -20. Suppose 3*v - t - 35 = 0. What is the remainder when c is divided by v?
16
Let s = 11 - 9. Suppose -3*j + 4 = -2*j, -24 = -4*a - j. Calculate the remainder when a is divided by s.
1
Let t(r) = 4*r + 21. Let p(h) = -h. Let n(j) = 5*p(j) + t(j). Suppose 4*o = 3*a - 4, -o + 0*o = -a + 1. What is the remainder when n(a) is divided by 12?
9
Let h(g) = g + 2. Let r(u) = -u**2 - 4*u + 1. Let p be r(-4). What is the remainder when (0 + -1)/(p/(-3)) is divided by h(0)?
1
Let g = 12 + -27. Let h be ((-25)/g)/((-2)/(-6)). Suppose -5*f - 26 = -k + 7, -h*k - 2*f + 111 = 0. What is the remainder when k is divided by 6?
5
Suppose 6 = 3*r - 3. Suppose -3*j = -c - 5, -r*j - 2*j = -10. Calculate the remainder when 2 is divided by c.
0
Suppose -2*w - 75 = -3*w. Calculate the remainder when w is divided by 16.
11
Suppose -150 - 80 = -5*n. Suppose 2*v - 76 - n = 0. What is the remainder when v is divided by 21?
19
What is the remainder when 37 is divided by (-5 - (-5)/2)/(1/(-8))?
17
Suppose -8 = -f - 4. Calculate the remainder when 14 is divided by f.
2
Let d = 10 - 6. Suppose -26 = -2*p + d. Calculate the remainder when 880/30 + 8/(-6) is divided by p.
13
Let n(s) = -23*s - 6. Let f be n(-7). Let p = f + -93. Calculate the remainder whe