 m - t. Calculate the remainder when y is divided by 11.
10
Let r = -42 - -58. What is the remainder when 75 is divided by r?
11
Suppose 35*r = 39*r - 416. What is the remainder when r is divided by 35?
34
Let t(z) = z**2 + 8*z - 21. What is the remainder when t(-11) is divided by 7?
5
Let s(v) = 23*v**2 + 3*v + 2. Let y be s(-1). Suppose 0 = 2*b - 3*z - 70 - y, 3*b + 3*z = 153. What is the remainder when b is divided by (-2 + 4 - 15)*-1?
10
Suppose 0 = 2*p + 2*p - 8. Suppose -p + 54 = 2*s. What is the remainder when s is divided by (-18)/27*(-27)/2?
8
Let f = -3 + 22. Let d = f - 7. Let l = d - 2. Calculate the remainder when 38 is divided by l.
8
Suppose g + 2*g = 4*j + 32, -3*j - 19 = -g. Suppose 2*u - g*y = 21 + 15, -3*u + 2*y = -62. What is the remainder when u is divided by -2*2/4 - -13?
10
Suppose 1 = 2*a + 7. Let r be a/((-25)/(-14) - 2). Let d = r + 37. Calculate the remainder when d is divided by 18.
15
What is the remainder when 49 is divided by 38*(-7)/(-28) + 1/2?
9
Let k = 10 - -4. Calculate the remainder when 15 is divided by 12/42 + 108/k.
7
Let v be (-2)/(-6) - 10/(-6). Let a(y) = 16*y. Let f = 219 + -208. What is the remainder when a(v) is divided by f?
10
Suppose -13*p - 57 = -16*p. What is the remainder when 56 is divided by p?
18
Suppose -o = 3*c + 2 - 9, 21 = o - 4*c. Let g(q) = q**3 - 8*q**2 + 11*q - 24. What is the remainder when o is divided by g(7)?
1
Let y(f) = -3*f**3 + 2*f. Calculate the remainder when 157 is divided by y(-2).
17
Let i(l) = -6*l - 1. Suppose 2*k = 5*w - 3*w - 60, 4*k = -2*w + 84. Let c = -24 + w. Calculate the remainder when i(-5) is divided by c.
9
Suppose 0 = -3*s - 2 + 11. Suppose -s*q + q = -20. What is the remainder when 29 is divided by q?
9
Let f(n) = n**3 + 5*n**2 - 8*n + 3. Let v = -8 - -14. What is the remainder when f(-6) is divided by v?
3
Let w(o) = 2 - 2*o + 2 - 2 + o**2. What is the remainder when w(5) is divided by 5?
2
Suppose -105 = -9*d + 21. Calculate the remainder when 96 is divided by d.
12
Let x be (-34)/(-10) + (-2)/5. Let b be ((-3)/(-2))/(x/32). Suppose 0 = 2*p - 0*p - 4*a - b, 5*p + 3*a = 66. What is the remainder when p is divided by 7?
5
Let g(j) = -2*j**3 - 8*j**2 + 3*j. Let v be g(-6). Suppose -v + 11 = 5*b. Let l = b - -43. What is the remainder when l is divided by 11?
9
Let h(j) = -j**3 + 4*j**2 - j + 4. Let b be h(3). Let x = b - -5. What is the remainder when 57 is divided by x?
12
Let j = -27 + 29. Suppose -s + 8 = 2*r, 0 = -j*s + 5*r - 3 - 8. Suppose -5*c + 0*c + 15 = 0. What is the remainder when c is divided by s?
1
Let n = 24 + 23. Suppose 100 - 19 = -3*k. Let v = n + k. Calculate the remainder when v is divided by 11.
9
Suppose -10*j + 5*j = -65. Calculate the remainder when 75 is divided by j.
10
Let k(i) = -2*i. Suppose 0 = 4*w + 11 - 35. Let t(l) = l**3 - 6*l**2 + 2*l - 9. Calculate the remainder when t(w) is divided by k(-1).
1
Let f = -3 + 5. Suppose f*w + 2*w = 88. Suppose -4*p - w = -90. Calculate the remainder when 50 is divided by p.
16
Let k(h) = 6*h - 16. What is the remainder when 78 is divided by k(5)?
8
Let q = -10 + 24. Suppose 0 = -i + q + 2. Suppose 4*o - 5*o + i = 0. Calculate the remainder when 30 is divided by o.
14
Let z = -9 - -18. Calculate the remainder when (36/(-7))/(21/(-98)) is divided by z.
6
Suppose -3*y = 4*p - 18, -4*y - y + 3*p = -1. Calculate the remainder when 25 is divided by (11 - y) + (0 - 0).
7
What is the remainder when (-2)/(-6) + 56/3 is divided by 11?
8
What is the remainder when -2*(-1)/(1/13) is divided by 10 - (-2 - -1 - -2)?
8
Let q(v) = v**2 - 2*v - 8. Calculate the remainder when 63 is divided by q(6).
15
Suppose 2*f - 87 = 5*y + 3, -5*f - 3*y = -163. What is the remainder when 137 is divided by f?
32
Suppose -65 = -5*d - 30. Calculate the remainder when d is divided by 2.
1
Let b(c) be the second derivative of c**4/3 - 3*c**2/2 + 2*c. Let j = -137 + 146. Calculate the remainder when b(3) is divided by j.
6
Suppose f + 70 = 85. What is the remainder when 68 is divided by f?
8
Suppose 0 = f - 3*f + 36. Let o = -229 + 264. What is the remainder when o is divided by f?
17
Let u be (16/(-10) - -2)*15. What is the remainder when 34 is divided by (11 + 1)*(-5 + u)?
10
Suppose 6*s = 2*s + 20. Let g be (-1)/(-2)*-2 + s. Suppose 0*m = g*m - 68. What is the remainder when 48 is divided by m?
14
Let p(d) = -3*d + 7. Let i be p(7). Let r = i + 20. What is the remainder when r is divided by 4?
2
What is the remainder when 28 is divided by 2 - 0 - (-48)/6?
8
Suppose -3*u + 70 = 5*q, u - 65 = -3*u - q. Calculate the remainder when (-684)/(-9)*(-6)/(-8) is divided by u.
12
Suppose 144 + 12 = -5*r + o, -112 = 3*r + 4*o. Let z = 20 - r. Suppose -2*w = 2*w - z. What is the remainder when 25 is divided by w?
12
Suppose -z - 217 = -8*z. Calculate the remainder when z is divided by 4.
3
Let c = -158 - -298. What is the remainder when c is divided by 18?
14
Let r be 6*1/(-2) - -2. What is the remainder when (-130)/(-18) - (-8)/(-36) is divided by 3 - (2/r)/2?
3
Suppose 7*z - 48 - 1 = 0. What is the remainder when 24 is divided by z?
3
Let n(j) = j + 1. Let l be n(5). Let c = l + -3. Let k(h) = -9*h - 2. What is the remainder when k(-1) is divided by c?
1
Suppose 5*t - 14 = 5*k + 11, 5*t + 4*k - 61 = 0. Let o(v) = -v**3 + 9*v**2 + 2*v + 12. Calculate the remainder when o(t) is divided by 8.
6
Let t = -28 + 57. What is the remainder when 114 is divided by t?
27
Let p(c) = c**2 + 9*c + 15. Let s(x) = x**2 + 5*x - 1. What is the remainder when p(-11) is divided by s(-7)?
11
Suppose 3*v - 4*m - 116 = -v, -4*v - 2*m + 104 = 0. What is the remainder when v is divided by 14?
13
Let d be (4/6)/(14/21). Suppose 0 = 2*a - 3*o + 2*o - 3, 4*o - 12 = 0. What is the remainder when (-5 + 4)/(d/(-10)) is divided by a?
1
Let l = -5 - -10. Calculate the remainder when (3/(-2))/(9/(-48)) is divided by l.
3
Let o(r) = -r**3 - r**2 - r + 28. What is the remainder when o(0) is divided by 6?
4
Let b = -6 + 20. Suppose -2*h + 18 = 3*j + 5, -5*j + 26 = -h. Suppose p + 2*z = 8 + 22, j*z + 225 = 5*p. What is the remainder when p is divided by b?
12
Let a = -77 - -86. What is the remainder when 12 is divided by a?
3
Let a be -1 - (-1 + 0)*1. Suppose -4*x - 3*f + 43 = 0, -x + a*f + 4*f + 25 = 0. Let w(g) = -25*g**3. What is the remainder when w(-1) is divided by x?
12
Let o(d) = 4*d**2 - 3*d + 1. Suppose -2*i + 5 - 1 = 0. Calculate the remainder when 31 is divided by o(i).
9
Let w(o) = o**2 + 9*o - 16. Let y be w(-11). Let z(i) = -i**3 + 6*i**2 + 5*i. Calculate the remainder when 89 is divided by z(y).
29
What is the remainder when 131 is divided by (-26)/(-78) - ((-196)/6 + 0)?
32
Suppose -4*c + 93 = -d, -5*d + 29 = -3*c + 86. Let s be (-2)/((-39)/15 + 3). Let g = s + c. What is the remainder when g is divided by 7?
5
Let s be -2 + 54 - (-2 - -2). Suppose s = 2*f + 2. What is the remainder when f is divided by 9?
7
Suppose -4*t = -9 - 11. Calculate the remainder when 17 is divided by t.
2
Let i(h) = 12*h. Calculate the remainder when (-1)/(1/94*-2) is divided by i(1).
11
Suppose 3*q = 10 + 8. Let w(u) = -u + 8. Let c be w(q). Calculate the remainder when c/(-3) - (-348)/9 is divided by 13.
12
Suppose 0 = 2*c + c + 6. Let o be 2/(-6) + (-50)/(-6). Let m = o - c. Calculate the remainder when m is divided by 6.
4
Let g be -1 + -2 + -3 + 0. What is the remainder when 120/18 + 4/g is divided by 4?
2
Let j = -72 - -84. What is the remainder when 22 is divided by j?
10
Suppose 4*r = -3*s + 5, r - 2 = -s - 1. Let t(p) = -3*p + 2*p**r + 0*p + 0*p + 2. What is the remainder when 10 is divided by t(2)?
2
Let c(j) = 2*j + 1. Suppose 10 = 5*o - 5. Suppose o*z = z + 74. What is the remainder when z is divided by c(6)?
11
Let x(l) = -10*l**3 + 2*l**2 + l. Calculate the remainder when x(-1) is divided by (-60)/(-5)*2/4.
5
Suppose -42 = -5*r + 13. Let f(y) = 3*y + 6. Calculate the remainder when f(5) is divided by r.
10
Let l(i) = i**2 - 9*i + 5. Let g be l(7). Let v = g - -12. What is the remainder when v is divided by 3?
0
Let h(c) = c**2 - 7*c - 5. Let l be h(-5). Let p = 91 - l. Let m = p - -2. Calculate the remainder when m is divided by 13.
12
Suppose 0 = -3*l - 0*l + 3. Suppose -w + 12 - l = 0. Calculate the remainder when w is divided by 7.
4
Let w(q) = q**3 - q**