
Let y = -4 - -6. Calculate the remainder when -2 + 33 - 0/y is divided by 8.
7
Suppose -22 = -0*m + 2*m. Let f = -6 - m. Suppose -f*d + 203 = j, -2*d + 195 = 3*d + 5*j. Calculate the remainder when d is divided by 14.
13
Let q = -3 + 5. Suppose 425 = q*y - 7. Suppose 0 = 4*b + d - y, 5*d = -4*b - 0*b + 216. Calculate the remainder when b is divided by 14.
12
Suppose 0 = 5*z - i - 65, 4*z - i = 2*z + 23. Let g = -55 + 100. Let h = g + -20. Calculate the remainder when h is divided by z.
11
Let i be (-2)/((-15)/6 - -2). Let p(f) = f - 2. Let c be p(i). Suppose -7*z + 10 = -c*z. What is the remainder when 2 is divided by z?
0
Let d = -41 - -87. What is the remainder when d is divided by 8?
6
Suppose 0 = -4*q + 3*g - 210, -3*q = -5*q - 2*g - 98. Let t = -33 - q. What is the remainder when 51 is divided by t?
15
Let c be (4/(-10))/(1/(-5)). Calculate the remainder when 16/(-6)*(-21)/c is divided by 15.
13
Let z(d) = -d**3 - 19*d**2 - d - 5. Calculate the remainder when 53 is divided by z(-19).
11
Suppose 38 + 18 = 4*c. What is the remainder when 41 is divided by c?
13
Let u(z) = -z**3 - 4*z**2 - 6*z - 5. Let h be u(-6). Suppose -5*q + 22 = -h. What is the remainder when q is divided by 14?
11
Let w(f) = -3*f + 9. Suppose l - 305 = -4*l. Calculate the remainder when l is divided by w(-4).
19
Let y(l) = -7*l - 3. Let j be 1/(14/(-6) + 2). Let a = 117 - 82. Calculate the remainder when a is divided by y(j).
17
Suppose -12 = 4*j + 4*v, 4*j + v + 2 = -1. Suppose i - 32 = -i. Calculate the remainder when i is divided by j - (-6 + 2 + -2).
4
Suppose 28 = 3*w - w. Suppose -4*p + 3*p = -2. Suppose p*t + t = 81. Calculate the remainder when t is divided by w.
13
Suppose -151*m + 36 = -145*m. What is the remainder when 17 is divided by m?
5
Let a(f) = 38*f**3 + 2*f**2 - 1. What is the remainder when 153 is divided by a(1)?
36
Let u = 22 - -60. Calculate the remainder when u is divided by 21.
19
Let s = 69 - 37. What is the remainder when 63 is divided by s?
31
Let s(f) = -6*f - 7. What is the remainder when s(-4) is divided by 10?
7
Suppose 15 - 92 = -f. Let t = f - 51. Suppose 5*u - 47 = -2*v, 4*v - 22 = -2*u - 0*v. What is the remainder when t is divided by u?
8
Let g(w) = w - 2*w**2 - w + w. Let t be g(1). Calculate the remainder when 7 is divided by 1/((-4)/6 - t).
1
Let t(w) = w**2 + 6*w + 7. Let o be t(-5). Suppose -3*a = -o*a - 9. What is the remainder when 26 is divided by a?
8
Let m = 673 + -618. Suppose 0 = 5*p - 4*w - 7, 0 = -4*w - 10 - 2. Calculate the remainder when m is divided by 57/3 - (1 + p).
17
Suppose 63 - 15 = 2*r. What is the remainder when 40 is divided by r?
16
Suppose 0 = 2*k + k - 21. Let t(f) be the second derivative of f**4/12 - f**3 - f. Calculate the remainder when 12 is divided by t(k).
5
Let d be (23 - (0 - -2)) + -1. Let y = -12 + d. Let n = y - 3. Calculate the remainder when 13 is divided by n.
3
Let n(r) = -r**2 - 15*r + 39. Calculate the remainder when n(-13) is divided by 23.
19
Let j(k) = -1. Let x(p) = -8*p - 13. Let m(g) = -6*j(g) + x(g). What is the remainder when m(-7) is divided by 17?
15
Suppose -4*s + 7 = 2*o - 3, -4*o + 3*s = -75. What is the remainder when 73 is divided by o?
13
Let n = 406 + -342. Calculate the remainder when n is divided by 1/(-1 + (-34)/(-33)).
31
Let g be -2 - (0/(-3) + -41). Let k = g + -21. What is the remainder when 69 is divided by k?
15
Let g = 7 + 19. Suppose -3*z = -g - 10. Suppose 0 = 2*b + b - 69. Calculate the remainder when b is divided by z.
11
What is the remainder when (1*-30)/((-4)/10) is divided by 19?
18
Suppose -2*z - 46 = 4*s, -2*s + s - 2*z - 13 = 0. Let x = s + 17. Let p = -10 - -21. Calculate the remainder when p is divided by x.
5
Suppose 2*v - 4*v - 18 = 0. Let f = 23 + v. Calculate the remainder when f is divided by 4.
2
Let q(l) = 2 - 12*l - 2. Let u(j) = -7*j**3 + 3*j**2 - j + 1. Calculate the remainder when u(-2) is divided by q(-2).
23
Suppose 9*d - 4*w - 164 = 5*d, -4*w - 16 = 0. Calculate the remainder when 142 is divided by d.
31
Let r(w) = 31*w**2 + 3*w - 2. Let y be 4/10 - (-3)/5. What is the remainder when r(y) is divided by 9?
5
Calculate the remainder when 66/77*(0 + 2)*56 is divided by 11.
8
Suppose -2*q + 135 = -49. Suppose -q = -o - o. What is the remainder when o is divided by 12?
10
Let j be 0/(2/1 + -3). What is the remainder when j - 4/((-4)/35) is divided by 12?
11
Let x(h) = 39*h**2 + 5*h + 3. What is the remainder when 145 is divided by x(-1)?
34
Suppose 0*g - 3*g + 6 = 0. Suppose -5 = g*l - 7*l, 0 = -3*u - 5*l - 76. Let d = -16 - u. What is the remainder when 21 is divided by d?
10
What is the remainder when 14 + -1 - (-4 + 4) is divided by 5?
3
Let n be 0 - 2*(-6)/4. Suppose -4*z = -n*z - 3. Calculate the remainder when 11 is divided by z.
2
Let h = -17 + 64. What is the remainder when h is divided by 16?
15
Let n = -9 - -23. What is the remainder when 69 is divided by n?
13
Suppose o = -5, -2*b + 4*o = 3*o - 149. Calculate the remainder when b is divided by 15.
12
Let m = 143 - 136. What is the remainder when m is divided by 7?
0
Suppose 6*n = -0*n + 150. What is the remainder when 121 is divided by n?
21
Let y = 81 - 47. Let h = 26 + -17. Calculate the remainder when y is divided by h.
7
Let a = 33 - -23. Suppose -13*s = -69 - 178. What is the remainder when a is divided by s?
18
Let p(b) be the first derivative of b**3/3 - b**2/2 - 3*b + 3. Calculate the remainder when p(-4) is divided by 6.
5
Let l = -24 - -36. What is the remainder when l is divided by 5?
2
Let u(b) = -b**3 + b + 1. Let p be u(-1). Let f(v) = -8*v**3 - v**2 - 2*v - 1. Calculate the remainder when p/(-3) + (-273)/(-9) is divided by f(-1).
6
Suppose 0*z = z - 2*u - 7, 3*u = z - 8. Calculate the remainder when z is divided by 4.
1
Let b = -16 + 23. Suppose b = g - 2. Calculate the remainder when 24 is divided by g.
6
Suppose l = -d - 5, 5 = 4*l - 2*l - 3*d. Let u be (3/l)/(3/8). Let k = u + 10. What is the remainder when 17 is divided by k?
5
Let q = 10 - 29. Let f = -12 - q. Calculate the remainder when 11 is divided by f.
4
Let l(w) = -w**3 - 13*w**2 - w - 5. Calculate the remainder when 30 is divided by l(-13).
6
Let o = -69 + 107. Suppose -3*x + 22 = -o. Let h = -3 + x. What is the remainder when 33 is divided by h?
16
Let s(c) = -c**2 - 6*c - 4. Calculate the remainder when 8 is divided by s(-3).
3
Let f(a) = -2*a - 8. Let k be f(-7). Suppose 0 = k*q - q - 45. What is the remainder when q is divided by (-1 + 3)/((-4)/(-10))?
4
Suppose 0*r - 44 = r + 2*v, 20 = -5*v. Calculate the remainder when r/27*(-33)/2 is divided by 12.
10
Let c be (-11)/(33/(-90)) - 3. Suppose -p = 2*p - c. Calculate the remainder when 16 is divided by p.
7
Suppose -5*t + 17 = -3. Let i(o) = o**3 - 7*o**2 + 6*o + 2. Suppose -6 = -j - 0. Calculate the remainder when t is divided by i(j).
0
Let b(a) = a**2 - 2*a - 3. Let h be (-18)/15*(-10)/(-3). Suppose 2*j - 82 = -0*j. Calculate the remainder when j is divided by b(h).
20
Suppose -18 + 111 = -4*v + w, -2*v = -w + 47. Suppose 0*t + 4*t + 91 = 3*l, -3*t = -6. Let z = l + v. What is the remainder when 18 is divided by z?
8
Let m = 94 - 82. Calculate the remainder when 178 is divided by m.
10
Suppose 0 = 4*c + 2*c - 936. Suppose 3*p = -p + c. Calculate the remainder when p is divided by 21.
18
Suppose 0 = -c + 4*l + 26, -4*c + 4*l - 34 = -5*c. Calculate the remainder when 118 is divided by c.
28
Let x(i) = -3*i - 1. Let o be x(1). Let z be (o/(-3))/((-1)/27). Let d = z + 73. What is the remainder when d is divided by 13?
11
Let a be 10/6 - 1/(-3). Suppose -4*o - 3*i + 4*i = 38, -i = -a*o - 18. Calculate the remainder when (-106)/o - (-8)/20 is divided by 6.
5
Let h = 3 - -1. What is the remainder when (-2 + -2)*(-11)/h is divided by 6?
5
Suppose -5*y + 2*y - 3*d + 267 = 0, d = y - 97. Calculate the remainder when y is divided by 24.
21
Let p(z) = -z**2 + 3 + 2*z**2 + 2*z - 4*z. Calculate the remainder when 35 is divided by p(-3).
17
Let c be (-1)/((-1)/(-8)*-2). What is the remainder when 90/c - 3/2 is divided by 12?
9
Suppose -3*s = -1 - 26. Suppose 5*c - 6 = 74. Calculate the remainder when c is divided by (-2)/((s/(-3))/9).
4
Suppose -3*j + 359 = 5*t, -5*j + 12 = -j. Calculate the remainder when t is divided by 18.
16
Let k = 45 - 21. What is 