- 5*p - 11. Calculate the remainder when q is divided by 8.
6
Suppose 100 = 7*o - 2*o. Calculate the remainder when o is divided by 7.
6
Let s = 11 - 2. Suppose 0*v = 3*f + 5*v - 25, s = f + v. Let w(l) = l**2 - 3*l - 5. Calculate the remainder when w(f) is divided by 22.
21
Let r(h) = h**2 + 6*h + 2. Calculate the remainder when 23 is divided by r(-7).
5
Suppose r - 38 = -20. Calculate the remainder when r is divided by 5.
3
Suppose 0*o = 3*o - 5*i - 17, 3*o - i = 13. Calculate the remainder when 4/10 + (-46)/(-10) is divided by o.
1
Let d = 111 + -162. Let x = d - -93. Calculate the remainder when x is divided by 15.
12
Suppose -3*q - k = -37, -5*q - 3*k + 75 = 2*k. What is the remainder when 20 is divided by q?
9
Let x(s) = s**2 + 12*s + 6. Let a = -57 + 106. Suppose a = 3*k + g, -g + 0*g = 2*k - 33. What is the remainder when k is divided by x(-12)?
4
Let n(y) = -102*y**3 - 2*y**2 - y. Suppose -10*m + 6*m = -104. Calculate the remainder when n(-1) is divided by m.
23
Let w = 62 + -5. What is the remainder when w is divided by 31?
26
Let h(o) = -11*o - 19. Let n = 70 + 27. What is the remainder when n is divided by h(-4)?
22
Suppose -g = -6*g. Suppose 2*x + 5 + 5 = g. Let b = x - -24. What is the remainder when b is divided by 10?
9
Let p(l) = 2*l**3 - 4*l**2 + 2*l + 1. Let x be p(3). Suppose x = 3*g - 50. Calculate the remainder when 99 is divided by g.
24
Let k = 102 - 85. Let r(f) = 26*f**2 + 1. Let l be r(-1). Let i = l - -5. Calculate the remainder when i is divided by k.
15
Let r(u) = -5*u - 3. Calculate the remainder when (-7)/14*75*2/(-3) is divided by r(-2).
4
Calculate the remainder when 17 is divided by 15/3 + 0 + 1.
5
Suppose 3*i = 2*j - 45, -5*j - i = i - 65. Calculate the remainder when 58 is divided by j.
13
Suppose 0*a + 6 = 2*a. Suppose 0 = 5*i - 5*q - 14 - 26, -3 = 3*q. Suppose -a*j - 1 = -i. Calculate the remainder when 5 is divided by j.
1
Suppose 6*q = 17*q - 132. Let t = 0 + 2. Calculate the remainder when 69/t - (-1)/2 is divided by q.
11
Let j(g) = -g**2 - 5*g - 2. Suppose -4 = v + 5*q, -4*v + 0*q - 16 = -q. Let l(p) = -4*p - 3. What is the remainder when l(-2) is divided by j(v)?
1
Let z(d) = -d**3 - 7*d**2 + 6*d + 8. Let v be z(-8). Suppose 5*p - 80 = 4*i, -2 = p - 2*i - v. Let k = -49 + 71. What is the remainder when k is divided by p?
10
Let v(t) = -t**2 + 7*t + 8. Let p be v(6). Suppose -3*j + j = -p. What is the remainder when 13 is divided by j?
6
Let c(o) = -o**3 + o**2 + o + 4. Let a = 0 - 0. Suppose a = -4*q + 33 + 19. Calculate the remainder when c(-3) is divided by q.
11
Suppose 10 = -2*z - 4*f, 2*z + 0*z - 3*f = 4. Let o(w) = 5*w**2 - 1. Let p be o(z). Suppose 0 = -2*s - 0 + p. Calculate the remainder when s is divided by 2.
0
Suppose -2*r - 2 = -6. Let x(a) = 4*a + 3 - 4 + 5 - r*a. What is the remainder when 35 is divided by x(4)?
11
Let s(v) = 2*v - 4. Let c be s(4). Suppose -3*u - 59 = -c*a, 0 = 2*u + u - a + 62. Let o = -12 - u. Calculate the remainder when 16 is divided by o.
7
Suppose 4*y = 0, -3*k - 5*y + 18 = -2*k. Calculate the remainder when 33 is divided by k.
15
Suppose -3*j - 4*u + u + 15 = 0, 4*u = -3*j + 14. Calculate the remainder when 26 is divided by j.
2
Let v(w) = -w**2 - 11*w - 1. Suppose -f + 2*t = 4, -3 - 18 = -f - 3*t. What is the remainder when v(-8) is divided by f?
5
What is the remainder when ((1 - (-3 - 7))*2)/1 is divided by 8?
6
Let y(a) = a**3 + 6*a**2 + 3*a - 1. What is the remainder when 73 is divided by y(-4)?
16
What is the remainder when 81 is divided by 6/33 + 1145/55?
18
Let o = 20 - 11. Calculate the remainder when 26 is divided by o.
8
Let u(c) be the second derivative of c**3 - 3*c**2 + 0 + 3*c + 1/12*c**4. What is the remainder when 38 is divided by u(-8)?
8
What is the remainder when 52 is divided by (-1 + 0)/((7 + -10)/33)?
8
Suppose -4*f = 5*n - 117, -4*f - 2*n + 33 = -3*f. Calculate the remainder when 67 is divided by f.
21
Let u(b) = -b + 11. Let z be (-52)/(-12) - 6/(-9). Calculate the remainder when 16 is divided by u(z).
4
Let a(w) = 5*w**2 + 5*w + 4. What is the remainder when 19 is divided by a(-1)?
3
Let q(v) = 4*v**3 - v**2 - v + 2. Let d be (-3)/(-2)*4/2. Suppose 0*c + d*c = 30. Calculate the remainder when q(2) is divided by c.
8
Let y be (5 + -1)*18/8. Suppose 0 = -0*r + 3*r - y. Suppose 1 = -p + r. What is the remainder when p is divided by 1?
0
Suppose -21 = -4*w + n, 2*n = 4 + 2. Calculate the remainder when 16 is divided by w.
4
Suppose 0*o = -2*o + 28. What is the remainder when 25 is divided by o?
11
Suppose 2*y + 0*y = -16. Let x(s) = -s**3 + 5*s**2 + 2*s - 7. What is the remainder when (-1)/(-1 + y/(-10)) is divided by x(5)?
2
Suppose 3*i - i = 26. Let y = 23 + -16. Calculate the remainder when i is divided by y.
6
Suppose -2*v + 3*x = 2*x - 24, 9 = v + x. What is the remainder when v is divided by 3/(2 + 10/(-8))?
3
Let r(w) = -5*w**2 - 7*w - 33. Let z(a) = -4*a**2 - 6*a - 33. Let s(c) = 5*r(c) - 6*z(c). What is the remainder when s(0) is divided by 21/2 + (-6)/(-4)?
9
Let i(g) = g**2 + 11*g + 12. Let k be i(-10). Suppose 2*n = v - 11, -4*v - k*n = n. Calculate the remainder when 6 is divided by v.
0
Let k(x) = x - 9. Let o be k(11). Calculate the remainder when 0*o/(-8) - -20 is divided by 11.
9
Suppose 3*z - 14 = -4*h, -1 + 9 = 4*h. Suppose 14 = 2*j - 2*i, 0*i = z*i - 6. Let d = 15 + j. What is the remainder when d is divided by 13?
12
Let a(s) = s - 1. Let j be a(7). Suppose -j*u + 10*u - 392 = 0. Calculate the remainder when u is divided by 25.
23
Let q be -1*(2 + -3)*109. Suppose 96 = 2*x - 3*t, 4*x + 2*t - q = 67. Let j = 76 - x. Calculate the remainder when j is divided by 11.
9
Suppose 16*b - 4*b - 72 = 0. Suppose n - 6 = -5*c + 11, 3*c - n - 7 = 0. What is the remainder when b is divided by c?
0
Let n(l) = l**3 - 4*l**2 - 5*l + 2. Let a be n(5). Suppose -b = -a*b + 26. Suppose 13*u - 8*u = 70. Calculate the remainder when b is divided by u.
12
Let a = -13 + 24. What is the remainder when 22 is divided by a - (0 - (2 + -1))?
10
Let d(y) be the second derivative of 3*y + 2/3*y**3 + 0 - 4*y**2. What is the remainder when d(11) is divided by 13?
10
Let a = 490 + -475. Let l(w) = 8*w**2 - w - 1. Let x = -5 + 7. Calculate the remainder when l(x) is divided by a.
14
Suppose -10 = 5*p - 70. Let q be 4/(-6)*(-42 + -3). Let r = q + 5. Calculate the remainder when r is divided by p.
11
Let g = 34 + -19. Suppose 4*c - c + 3*d = 66, -3*d = -5*c + 150. What is the remainder when c is divided by g?
12
Let q(t) = -38*t. What is the remainder when q(-3) is divided by 8/(-14) - (-2691)/91?
27
Let n(v) = -4*v**3 - 7*v**2 - 5*v - 1. Let y be n(-4). Suppose 0 = 4*g - g + 5*u - 164, -4*u = 3*g - y. What is the remainder when g is divided by 18?
17
Let p = -41 - -47. What is the remainder when 9 is divided by p?
3
Let k(d) = d**3 + 7*d**2 - 4*d + 3. What is the remainder when k(-6) is divided by 13?
11
Let i be 80/(-2)*(-2)/4. Suppose -w = 3*t - 28, -5*t = -2*w - 3*w - i. Suppose -5*k + 37 - 14 = f, -3*f - k = -69. What is the remainder when f is divided by t?
7
Calculate the remainder when 381/7 + 42/(-98) is divided by 14.
12
Suppose -8*q + 1514 = 490. Calculate the remainder when q is divided by 44.
40
Let u(o) = -2*o + 17. What is the remainder when 164 is divided by u(-8)?
32
Let x be (1 + 0)/(4/12). Suppose n = 30 - x. What is the remainder when n is divided by 7?
6
Let v(d) = 2*d - 10. Calculate the remainder when 76 is divided by v(13).
12
Suppose -4*a = -28 + 4. Let h(t) = -t**2 + 6*t + 5. Let u be h(a). Suppose j + u*d = 11, 3*d + 0*d = 0. What is the remainder when 32 is divided by j?
10
Let a(y) = y + 7. Let g be a(-3). Suppose v = -g + 25. Calculate the remainder when v is divided by 11.
10
Let u = 416 + -288. Calculate the remainder when u is divided by 19.
14
Let n = -71 - -44. Let o be (-44 - (0 + -1))/(-1). Let k = n + o. Calculate the remainder when 46 is divided by k.
14
Let q(t) = 19*t**2 + t + 1. Suppose -c = -y - 3, -4*c + 3*y = -2*c - 10. What is the remainder when q(c) is divided by 10?
9
Calculate the remainder when 39 is divided by ((-14)/(-5))/(10/50).
11
Calculate the remainder when 174 is divided by (-277)/(-11) + 14/(-77).
24
What is the remainder when 29 is divided by ((-48)/(-32))/((-6)/(-32))?
5
Suppose h - 11 = -0