t y be (2/4)/((-4)/(-8)). Calculate the remainder when (y - (2 + 0))*-54 is divided by 14.
12
Let r(s) = s**2 + 3. What is the remainder when 73 is divided by r(4)?
16
Let x(k) = 20*k**2 + 2*k + 3. Calculate the remainder when x(-2) is divided by 16.
15
Suppose -3*j = -0*j - 4*p - 27, 3 = -p. Suppose -j*y - 35 = -5*b, 0*y + 32 = b + 4*y. What is the remainder when 22 is divided by b?
10
Suppose -2*r + 5 = -3*b + 11, 0 = 3*r - 3*b + 9. Let n = r - -9. Suppose s - 25 + 3 = 5*c, 5*s + 4*c - 81 = 0. What is the remainder when s is divided by n?
5
Suppose 148 = -0*y + 4*y - 4*o, -3*y + 118 = 4*o. Let a = 38 + -28. What is the remainder when y is divided by a?
8
Suppose -3 = 4*i + 5. Let y(d) be the second derivative of -d**5/20 - d**3/2 - d**2/2 + 2*d. What is the remainder when 38 is divided by y(i)?
12
Suppose 3*x - 3*d = 126, 0 = -3*x - x - 4*d + 136. Calculate the remainder when 75 is divided by x.
37
Let c = 323 + -178. Suppose -3 = -3*y, 0*y + y = -4*n + c. What is the remainder when n is divided by 13?
10
Suppose 4*s + 5*f = -0*s + 31, 52 = 3*s - 2*f. Let t(o) = o**3 - 4*o**2 + 5*o - 3. Let n be t(3). What is the remainder when 132/n - 2 - 1 is divided by s?
13
Suppose 11 + 14 = 5*g. Suppose g*w = -9 - 1. What is the remainder when 41 is divided by (-106)/(-5) + w/10?
20
Let d = -16 - -39. Suppose -d = -3*i - 5. Let p = -66 - -75. Calculate the remainder when p is divided by i.
3
Suppose -32 = -x - 4*z, -4*z = x - 3*z - 20. Let m(a) = -9*a + 8. Calculate the remainder when m(-4) is divided by x.
12
Let c(p) = p**3 + 9*p**2 + 9*p + 11. Let b be c(-8). What is the remainder when (-3)/2*(-34)/b is divided by 9?
8
Let l = 29 + -22. What is the remainder when 32/5*(-5)/(-1) is divided by l?
4
Suppose -3*y + 2*x + 7 = -13, -24 = -3*y + 3*x. What is the remainder when 11 is divided by y?
3
Let o be 4*15/(-6) - 1. Let p = 20 + o. Suppose 4*i + 5 - 17 = 0. Calculate the remainder when p is divided by i.
0
Let s = 7 + -8. Let q = s + 1. Suppose q*b + 3*b + 13 = 4*n, -9 = -n - 5*b. What is the remainder when 11 is divided by n?
3
Let y(i) = i**2 - 2*i - 4. Suppose -3*b + 21 = 9. Suppose -2*u = -x - 0*x + 15, 0 = 3*x - b*u - 35. What is the remainder when 20 is divided by y(x)?
9
Let p = 257 - 241. What is the remainder when (2/6)/((-1)/(-87)) is divided by p?
13
Let x(h) = h**3 + 6*h**2 + 6*h + 6. Suppose -f - f = -8. Suppose 0*z + 105 = 2*z - 3*a, 2*z - f*a - 104 = 0. What is the remainder when z is divided by x(-4)?
12
What is the remainder when 410/8 - (6/8)/3 is divided by 13?
12
Let x(s) = s**2 + s - 2. Let p be x(-3). Suppose p*d + 21 = -3. Calculate the remainder when 3 is divided by (2 + 16/d)*-3.
1
Let b(i) = -29*i + 6. Let o be 4/18 + 650/(-90). Let n(p) = -30*p + 7. Let a(x) = o*b(x) + 6*n(x). What is the remainder when a(1) is divided by 12?
11
Let t(s) = -10*s + 2. Let w be t(-3). Suppose 4*d + w = 88. Calculate the remainder when 25 is divided by d.
11
Let m = 2 - 11. Let v = -2 - m. Calculate the remainder when 25 is divided by v.
4
Suppose -3*n - 5*t - 271 = -71, 5*n + 3*t = -344. Let x = -50 - n. What is the remainder when x is divided by 11?
9
Let i(x) = -x + 3*x - x + 2*x + 8. What is the remainder when i(6) is divided by 14?
12
Let x = 9 + 7. What is the remainder when 28 is divided by x?
12
Suppose 0 = -4*h + 5*h - 3. Let u = -7 - -10. Suppose 7 = u*w + 4. Calculate the remainder when h is divided by w.
0
Let q(a) = -a**3 + 6*a**2 + 7*a + 9. Calculate the remainder when 10*-14*3/(-12) is divided by q(7).
8
Let n = 29 - 15. Suppose 0 = -2*k + 4*w + 78, -5*k + 10*w - 5*w + 195 = 0. Calculate the remainder when k is divided by n.
11
Suppose -5*z + 9 = -2*z. Suppose 3*m = -z + 24. Suppose 0 = -3*s + 8*s - 55. Calculate the remainder when s is divided by m.
4
Let l(i) = i**2 - 4. Let c = 0 + 4. Suppose -8*b = -c*b - 8. What is the remainder when l(-3) is divided by b?
1
Suppose -2*q = 5*z + 5 + 12, -4*q - 4 = 4*z. Suppose q*x = 19 - 7. Suppose 0*a + 4*a = 4, -47 = -x*v + 4*a. What is the remainder when 32 is divided by v?
15
What is the remainder when 12/(-6)*(-33)/2 is divided by 9?
6
Let l(i) = i**2 + i - 4. Let q be l(2). Calculate the remainder when 15 is divided by 7 - (-1)/(3 - q).
7
Suppose 0 = -k - 3*k + 12. Calculate the remainder when (22/8)/(8/32) is divided by k.
2
Let f(q) = -q**3 + 5*q**2 - 2*q - 3. Suppose -3*p + 3 = 6. Let v be -2 - p - (-2 + -2). Calculate the remainder when 16 is divided by f(v).
7
Suppose 0 = -2*m + 4*m - 44. Calculate the remainder when m is divided by 8.
6
Suppose -2*a - 9 = -5*a. Let l = -1 - -4. Suppose 0 = -u + 4 + l. Calculate the remainder when u is divided by a.
1
Suppose -2*i + t - 13 = 0, 3*i = -3*t - t - 3. Let c = i - -11. Let a = 40 + -17. Calculate the remainder when a is divided by c.
5
Calculate the remainder when (-32)/(-3) - -1 - (-4)/(-6) is divided by 7.
4
Suppose -y - 2*i - i = 16, -2*y + 3*i = -13. Let m = 20 + -1. Calculate the remainder when m is divided by 7*(0 - 1)/y.
5
Let h = -62 - -106. Calculate the remainder when h is divided by 24.
20
Let v = -2 - -11. Calculate the remainder when 19 is divided by (0 - 30)*(-3)/v.
9
Let a = -4 + 4. Let d(m) = -m**2 - 8*m + 2. Let h be d(-8). Suppose -2*u - 16 = 5*l, -u - 6 = -a*u + h*l. What is the remainder when u is divided by 2?
0
Let w(o) = -o**2 + 16*o - 31. Calculate the remainder when 62 is divided by w(13).
6
Suppose -2*k + 3*k = -40. Let p = k + 66. Calculate the remainder when p is divided by 14.
12
Suppose -w - 8 = 3*d, 4*w = -2*d - 0*d - 2. Let q(m) = -7*m + 3. Let a(v) = -1. Let o(r) = -4*a(r) - q(r). What is the remainder when 22 is divided by o(w)?
6
Let b = -3 - -4. Suppose 2 = v + b. What is the remainder when -2 + v + (-36)/(-2) is divided by 6?
5
Let j(o) be the second derivative of o**4/6 + o**3/3 - o**2/2 - 2*o. Calculate the remainder when j(-2) is divided by 2.
1
Let g(c) = 0 + 0*c + 2 - 20*c. Let z be -4*(2 + 9/(-6)). Calculate the remainder when g(z) is divided by 22.
20
Suppose -66 = -6*j + 4*j. Suppose -4*a + 50 = -4*g + 18, 23 = 3*a - 2*g. Suppose a*m - 3*m - 68 = 0. Calculate the remainder when j is divided by m.
16
Suppose -2*n + 24 = 3*o - 5, -3*n + 44 = 4*o. Calculate the remainder when 1 - (1 - (-5 - -67)) is divided by n.
14
Suppose -171 = -5*f - 2*z, 2*z = 5*f - 186 + 7. Suppose w + 4*b = 10, 0 = -4*w + b + 7 - f. Let c = -3 - w. Calculate the remainder when 8 is divided by c.
2
Calculate the remainder when 2*(-1 + 5 - 2/(-2)) is divided by 8.
2
Suppose 2*v = -3*v + 25. Let l(z) = -z**3 - 3*z**2 - 4*z - 4. Calculate the remainder when l(-3) is divided by v.
3
Let i = -74 - -115. What is the remainder when 81 is divided by i?
40
Let r(x) = x**3 - 10*x**2 - 8*x + 3. Let v be r(11). Suppose -8*w + 12*w = v. What is the remainder when w is divided by 4?
1
Let q = 26 - 14. Suppose 0 = a + x - 21, 0 = 2*a - 5*a - x + 65. Calculate the remainder when a is divided by q.
10
Calculate the remainder when 42 is divided by -9*1/1*-1.
6
Suppose 5*y = 2*m + 2*y + 2, -4*y + 6 = -m. Let p(i) = 3*i - 1. Let s be p(-4). Let t = -9 - s. Calculate the remainder when t is divided by m.
0
Let u = 19 - -17. Calculate the remainder when u is divided by 13.
10
Suppose 5*q + 2*g + 2*g = 7, -q + 4*g = -11. Let z = -1 + 5. Calculate the remainder when z is divided by q.
1
Suppose -4*q + 19 = -13. Suppose 3*b = -12, 0 = j - 0*j + b - 25. What is the remainder when j is divided by q?
5
Suppose 3*p + 3*c + 34 = -c, -2*p - 32 = 5*c. Suppose 0 = -0*g - 4*g + 52. What is the remainder when p*64/(-12) + 4 is divided by g?
10
Let l = 15 + -11. Calculate the remainder when 5 is divided by l.
1
Suppose -60 = -5*l + 2*m, -5 - 19 = -l - 2*m. Let k = 22 + -14. Calculate the remainder when l is divided by k.
6
Suppose -2*l = 2*s - 49 - 17, -4*s + 3*l = -132. Let u(f) = -8*f**3 + f**2 + f + 1. What is the remainder when s is divided by u(-1)?
6
Let b be 4/10 - 34/85. What is the remainder when (-5)/10*(-56 - b) is divided by 16?
12
Let n(i) = i + 15. What is the remainder when 42 is divided by n(7)?
20
Suppose -9*l + 32 = -7*l. What is the remainder when l is divided by 5?
1
What is the remainder when (-71)/(-1) - (-18 - -22) is divided by 10?
7
Let l(p) = 2*p**2 - 10. Calculate the remainder when l(4) is divided by 8.
6
Let g(w) = w + 15. 