3
Let w = 50 + -44. Calculate the remainder when 24 - (1 - 2/(-2)) is divided by w.
4
Suppose 4*g - 2*d - 27 = 3*d, -5 = -5*d. What is the remainder when 20 is divided by g?
4
Suppose 3*r - 3*m = 15, m + 2 = 5*r - 3. Suppose 3*k - 3*x + 3 = -r*k, 2*k + x = 4. Let z(d) = 24*d - 1. Calculate the remainder when z(k) is divided by 12.
11
Let t(p) = 3*p + 6. Calculate the remainder when 79 is divided by t(5).
16
Let l = -3 - -13. What is the remainder when 68 is divided by l?
8
Let z(j) = -2*j - 4 + 4. Suppose -3*r + 6*r = -3*h - 21, -2*h = 2. What is the remainder when 22 is divided by z(r)?
10
Let p(n) = n - 4. What is the remainder when 2 is divided by p(5)?
0
Suppose 5*z + 14 + 46 = 5*i, 0 = z - 4*i + 15. Let u = z + 29. Calculate the remainder when 35 is divided by u.
17
Suppose 0 = 2*b - 3*b + 9. Let s = b - -1. Let h = 56 + -37. Calculate the remainder when h is divided by s.
9
Let o(t) = t**3 - 7*t**2 + 7*t - 4. Let j be o(6). Suppose -21 = -j*z - 3. Calculate the remainder when 35 is divided by z.
8
Suppose -2*u + 68 = 4*h, u + 4*h - 17 = 23. Let s = 130 + -82. Let z = s + -33. Calculate the remainder when u is divided by z.
13
Calculate the remainder when 630/16 + 45/(-120) is divided by 28.
11
Let r = -7 + 16. Suppose b = -2 + 3, -b - 34 = -5*f. Let p(i) = i**3 - 6*i**2 - 6*i - 1. Calculate the remainder when r is divided by p(f).
3
Let j be (4 - 2)*(-7)/(-2). Suppose 0 = -2*a - 3 + j. What is the remainder when (a/(-2))/(2/(-22)) is divided by 4?
3
Let o(x) = -x**2 + 5*x - 4*x + 71*x**2. Let r be o(-1). Suppose -4*z - r = -213. Calculate the remainder when z is divided by 19.
17
Suppose 0 = 2*c - 5 - 3, -q = 3*c - 68. What is the remainder when q is divided by 23?
10
Let t(w) = -w + 1 + 0 + 3*w. Let j be t(-2). Calculate the remainder when 3 + -1 - 117/j is divided by 14.
13
Let b(a) = 3*a**2 - 4*a + 1. Calculate the remainder when 19 is divided by b(2).
4
Suppose -9 = 3*p - s - 39, -p + s = -10. Let v = 44 + -26. What is the remainder when v is divided by p?
8
Suppose 0 = -6*l + 5*l + 7. Let j(y) = -y**3 - 3*y**2 - 2*y + 2. Let z be j(-2). Calculate the remainder when l is divided by (z*(-6)/(-2))/2.
1
Suppose -8*u + 45 = -3. Calculate the remainder when 83 is divided by u.
5
Let g(z) = -z**2 + 4*z + 7. Let n be g(5). Suppose n = -3*k - 10. What is the remainder when (k/(-2))/(2/11) is divided by 6?
5
Let g(w) = -w**3 + 15*w**2 + 3*w - 12. What is the remainder when 65 is divided by g(15)?
32
Suppose 0 = -0*v - 3*v. Suppose v = i - 5 + 3. Let h = 15 + -8. Calculate the remainder when h is divided by i.
1
Suppose -4*l = 8, -9 = -2*v + l + 19. Suppose 0 = z - 4 - 3. What is the remainder when v is divided by z?
6
Suppose 0*t - 3*t = -60. Suppose -5 = -r + t. What is the remainder when r is divided by 13?
12
Let n = -133 - -144. What is the remainder when 63 is divided by n?
8
Suppose 0 = 3*h + 62 + 118. Calculate the remainder when h/(-2) + (-2 - -4) is divided by 11.
10
Suppose -10*l = -4*l - 210. What is the remainder when l is divided by 10?
5
Suppose 0 = 6*l + 7 - 13. What is the remainder when 2 is divided by l?
0
Let m(v) = -4*v**3 - 3*v**2 - v + 4. Calculate the remainder when 96 is divided by m(-2).
18
Suppose -4*m - 2*p = -36, -p - 20 = -5*m + 32. Suppose -28 = -3*v - 2*l + 30, -l = 4*v - 74. Calculate the remainder when v is divided by m.
8
Suppose -5*h + 220 = 5*r, 3*h - 2*r - 158 = -h. What is the remainder when h is divided by 6?
5
Suppose c + 2*c = 4*q, 4*c = -5*q + 31. Suppose -10 - c = -s. What is the remainder when 27 is divided by s?
13
Let k(n) = -n**3 + 4*n**2 + 4. What is the remainder when 24 is divided by k(3)?
11
Let a = -10 - -24. Calculate the remainder when a is divided by 8.
6
Suppose 2*v - 1 = v. Let q be -4*6/(-3)*v. Suppose 32 + q = 4*m. Calculate the remainder when 38 is divided by m.
8
Suppose 5*y = 7*y - 34. Let j be 4/(2 + 0) - 0. Suppose -j*w + 22 = 2*i, -2 = -4*w + 6. Calculate the remainder when y is divided by i.
8
Suppose 0 = -2*l - 0*l + 40. Let t = -14 - -53. Calculate the remainder when t is divided by l.
19
Let u(n) = 3*n**3 + 2*n**2 - 5*n - 1. Calculate the remainder when u(3) is divided by 43.
40
Let s = -29 - -55. Calculate the remainder when s is divided by 7.
5
Suppose g - 2 = 0, -4*s - g + 4*g + 146 = 0. Suppose -20 = 3*h - 5*h. Calculate the remainder when s is divided by h.
8
Let k = 9 + 81. Suppose -o = o - d - k, 0 = -2*d - 4. What is the remainder when o is divided by 15?
14
Let b(n) = 2*n - 7. Let h = 13 - 8. Let o be b(h). Suppose 0 = -o*y + 6 + 3. What is the remainder when 5 is divided by y?
2
Let g(w) = -w**3 + 5*w**2 - 3. Let k = 13 - -24. What is the remainder when k is divided by g(4)?
11
Let d = 119 - 83. Calculate the remainder when d is divided by 13.
10
Let k be (4/(-6))/(2/(-6)). Let l(j) = 3*j**2 - 2*j + 3*j**2 - k - 3 + j**3. Calculate the remainder when 19 is divided by l(-6).
5
Suppose -m + 2*l = -25, 2*l - 4*l - 2 = 0. What is the remainder when 87 is divided by m?
18
Let w = 337 + -333. Let v(f) = f - 2 + f + 1. Calculate the remainder when v(4) is divided by w.
3
Let h be 3*((-24)/(-9))/(-2). Let q be (3/4)/(h/(-16)). Suppose -4*g + 5*g = q*k + 47, 3*g - 109 = k. Calculate the remainder when g is divided by 12.
11
Suppose 5*m - 492 = -4*v - 72, -4*v + 4*m = -456. Suppose -25 = -5*k + v. What is the remainder when k is divided by 15?
12
Suppose -3*f + 0*f = 5*n + 25, -2*n - 10 = 0. Let s = 36 + f. Let o = 17 + 2. What is the remainder when s is divided by o?
17
Let y = 8 + -5. Suppose -93 = -y*w + 6. Calculate the remainder when w is divided by 12.
9
Suppose -19 = -5*a + 81. Suppose 2*h - 3*h - n = -2, n = 3*h - 26. Calculate the remainder when a is divided by h.
6
Suppose -a = -m + 2*m - 81, 0 = 4*a - 5*m - 333. Calculate the remainder when a is divided by 17.
14
Suppose -5*s + 3 = -37. Let v = -3 + s. What is the remainder when (-83)/(-5) + 6/15 is divided by v?
2
Let b = 6 - 5. Suppose 0*p = -p + b. Calculate the remainder when p is divided by ((-4)/6)/(4/(-6)).
0
Suppose -14 = 8*p - 15*p. Calculate the remainder when 27 is divided by p.
1
Let o = -12 + 16. What is the remainder when o is divided by 3?
1
Suppose -48 = -4*o - 4*f, 4 = 4*f - 6*f. Calculate the remainder when 96 is divided by o.
12
Let u = -4 + 9. Let x(p) = p**3 + 2*p**2 - p. Let z be x(-2). Suppose v = 4 - z. Calculate the remainder when u is divided by v.
1
Suppose -2*c = -c - 10. Suppose -3*b - 2*b + c = 0. Suppose h = b*h - 8. Calculate the remainder when h is divided by 3.
2
Let z = -79 + 88. What is the remainder when z is divided by 6?
3
What is the remainder when 24 is divided by -2*(0 + (-9)/2)?
6
Let t = -24 + 39. What is the remainder when 51 is divided by t?
6
Let z(t) = -t**2 + t + 36. Let u be z(0). Suppose -2*o = -2*n + u, 3*n = 4*n + 3*o - 10. Calculate the remainder when 46 is divided by n.
14
Suppose 0 = 2*f + 4*y - 13 - 5, f = 3*y + 14. What is the remainder when 32 is divided by f?
10
Let z(n) = 2*n**2 + 5*n + 3. Let y(i) = i**3 - 4*i**2. Let h be y(4). Suppose 2*u - 6 = h, 0*x + x - 3*u = 8. What is the remainder when x is divided by z(-3)?
5
Suppose -3*s - 3*o = 3, -o = -s + 4*s - 5. Suppose s = -2*i + 31. What is the remainder when 2/(-5) - (-404)/10 is divided by i?
12
Let l(v) = 7*v**2 - 7*v. Calculate the remainder when l(4) is divided by 15.
9
Let y = 1 - 0. Suppose 52*r - 6 = 50*r. Calculate the remainder when r is divided by y.
0
Suppose 5*q - 14 = -c, 0*q + 5*q - 16 = c. Suppose q*z = z + 4*x + 62, -53 = -3*z - 2*x. Let t = -124 - -186. Calculate the remainder when t is divided by z.
20
Suppose -3*t + 9 = 3*h, 0*t = -2*t - 5*h - 3. Calculate the remainder when 63 is divided by t.
3
Suppose -r + 9 = -4. Let i(a) = -a**2 + 5*a + 1. Let w be i(4). Suppose -y - 15 = w*v, -11 = -3*y - v - 0*v. What is the remainder when r is divided by y?
3
Let g = -12 - -17. Suppose -3*u - 146 = -5*y, -g*y - 5*u + 167 = -u. Calculate the remainder when y is divided by 16.
15
Calculate the remainder when (-294)/(-3) - 1 - (-1 - -4) is divided by 16.
14
Let u(g) = -g**2 - 11*g + 3. Calculate the remainder when u(-8) is divided by 15.
12
Let l = 13 - -6. What is the remainder when l is divided by 7?
5
Let r(o) = 31*o**2 - 2*o + 6. What is the remainder when r(2) is divided by 32?
30
Let