4*w. Let u = 106 + -61. What is the remainder when u is divided by w?
13
Suppose 4*z + 19 = g, z - 17 = 6*z + g. Let q(t) = t**3 + 4*t**2 + 3. Let n be q(z). Suppose n*w = 19 + 38. Calculate the remainder when w is divided by 7.
5
Let s(x) = -x**3 + 5*x**2 - 4*x + 5. Calculate the remainder when s(3) is divided by ((-4)/(-6))/(16/168).
4
Suppose 7*y - 119 = 2*y - 2*a, 4*y - 2*a - 88 = 0. What is the remainder when 78 is divided by y?
9
Suppose -2 = i - 5. Suppose 0 = -i*c + 5*o + 41, 5*c + 3*o + 0*o = 57. Suppose f - 26 = -5. Calculate the remainder when f is divided by c.
9
Suppose -b = 5*p - 38, 3*p - 59 = -3*b - p. Calculate the remainder when 37 is divided by b.
11
What is the remainder when (10/15)/((-4)/(-90)) is divided by 4?
3
Let x = 16 + 16. Suppose 0 = -3*v + 4*g + 110, v + 3*g - 22 = x. What is the remainder when v is divided by 11?
9
Let u(o) = 56*o**3 + 3*o - 2. What is the remainder when 225 is divided by u(1)?
54
Let o be ((-10)/15)/((-1)/(-3)). Let h = o - -33. Calculate the remainder when h is divided by 8.
7
Let q = 8 + -4. Suppose 4*o - 60 = -3*a - 5, -q*a = o - 4. What is the remainder when o is divided by 9?
7
Let v = 68 + -44. What is the remainder when 70 is divided by v?
22
Suppose -3*w = 12, 0 = -2*a - 2*w + 4 + 2. Let y = 8 + -3. What is the remainder when a is divided by y?
2
Suppose -14 = -q - q - 5*s, 0 = 4*q + 5*s - 38. Calculate the remainder when 155 is divided by q.
11
What is the remainder when (-12)/20 - (-3312)/45 is divided by 15?
13
Let x(z) = z**3 + 7*z**2 + 8*z + 4. Let p be x(-5). Let q be (-4)/p - (-96)/(-7). Let w = -1 - q. Calculate the remainder when 24 is divided by w.
11
Suppose -130*k + 132 = -127*k. What is the remainder when k is divided by 24?
20
Suppose 765 = 5*v - 0*v. Calculate the remainder when v is divided by 39.
36
Suppose 48*m = 52*m - 56. What is the remainder when 67 is divided by m?
11
Suppose 3*o + 42 = 261. Suppose o - 8 = 5*s. Calculate the remainder when s is divided by 4.
1
Let b = 7 - 3. Suppose 0 = -b*n + 3*n + 21. Suppose 3*c - f = 30, 7*c = 4*c + 5*f + 18. Calculate the remainder when n is divided by c.
10
Suppose -315 = -9*t + 90. Calculate the remainder when t is divided by 1/((-9)/(-12))*12.
13
Suppose 0 = -r + 5*o + 127, 4*r = -o - 3*o + 532. Suppose 2*n = -16 + r. Calculate the remainder when n is divided by 20.
18
Suppose 3*v + 21 = -3*b, 0 = 3*v - 2*b + 3*b + 13. What is the remainder when -1 - -3*(-45)/v is divided by 23?
21
Suppose -4*b + i + 53 = 0, 36 = 4*b + 3*i - 29. Suppose -5*q - 3*g = -40, 2*q - 5 = -4*g + 11. Calculate the remainder when b is divided by q.
6
Suppose -3*q + 63 = 3*d - 81, -q = -4*d - 38. What is the remainder when q is divided by 8?
6
Let v(y) = -y. Let u(f) = 9*f. Let r(z) = -u(z) - 6*v(z). Calculate the remainder when 8 is divided by r(-1).
2
Suppose -u - 15 = 4*l + l, 2*u = 2*l - 6. Suppose b + 3*s = -0*b + 2, 0 = -3*b - 4*s + 21. What is the remainder when (-2 + 1)*(-33 - l) is divided by b?
9
Suppose 0 = -11*d + 415 + 564. Calculate the remainder when d is divided by 30.
29
Let a(x) = 2*x**2 + 7*x + 1. Let n(v) = -v + 4. Let b be n(4). Suppose b = 2*r + 37 - 97. What is the remainder when r is divided by a(-5)?
14
Let w(h) = -2*h + 20 - 43 + 13. What is the remainder when 39 is divided by w(-10)?
9
Let h(p) = 4*p - 6. Let b be -51 + -6*1/2. Calculate the remainder when h(4) is divided by (-204)/b + (-2)/(-9).
2
Suppose -19*b + 8*b = -319. Calculate the remainder when 84 is divided by b.
26
Suppose 0 = -3*o + r + 263 + 75, 5*o - 560 = r. Calculate the remainder when o is divided by 28.
27
Let d = -23 - -42. Suppose j - 5 = -0*j. Calculate the remainder when d is divided by j.
4
Let a = 194 - 115. Calculate the remainder when a is divided by 27.
25
Let h = 5 + 0. Suppose -3*i = -0*j - 3*j - 21, -h*i - 3*j + 43 = 0. Calculate the remainder when 30 is divided by i.
6
Let t(y) = 2*y**2 + 2*y + 5. Calculate the remainder when 84 is divided by t(-3).
16
Suppose 48*w + 26 = 49*w. What is the remainder when w is divided by 14/2 - (3 + -5)?
8
Let j(f) = f + 12. Calculate the remainder when 12 is divided by j(-9).
0
Suppose -5 = -6*x + 5*x. Suppose 8 + 31 = 3*q. Calculate the remainder when q is divided by x.
3
Suppose 5 - 7 = -u. Suppose -3 - 5 = -4*b. What is the remainder when u is divided by b?
0
Suppose 3*t + 3*k = -159, -5*t - 71 = -5*k + 174. Let c = 63 - 43. Calculate the remainder when c is divided by t/(-7) - 10/35.
6
Suppose 5*o - 100 = o. Suppose -4*k + o = -39. Calculate the remainder when 46 is divided by k.
14
Let x(p) = -p**3 + 6*p**2 - 3*p + 1. Let f = -10 - -16. What is the remainder when x(5) is divided by f?
5
Suppose -2*v + 6 = 2*t, 5*t + v - 15 = -0*v. Suppose -t*c + 64 = -20. What is the remainder when c is divided by 10?
8
What is the remainder when 54 is divided by (-10)/(-1) - (1 - 6)?
9
Suppose -16 = -4*o + 8. Let f(h) = -11*h - 38. What is the remainder when f(-6) is divided by o?
4
Let d(f) = f**2 - 11*f + 14. Calculate the remainder when 6 is divided by d(10).
2
Calculate the remainder when 19 is divided by 5/40*2 + (-31)/(-4).
3
Let x be 1*(-3)/6*0. Let o = -2 - -16. Suppose 5*s - 2*f - 64 = x, 0*f - o = -s + f. Calculate the remainder when 23 is divided by s.
11
What is the remainder when 41 is divided by (-2)/(-4)*(-396)/(-18)?
8
Let k be -1*15/(-3 - 0). Suppose -3*w + 2*w + k = 0. Calculate the remainder when w is divided by 2.
1
Let p(w) = w**2 - 7*w. Let s be p(7). Suppose s = 2*m - 2, -17 = -2*v + m - 0*m. Calculate the remainder when 24 is divided by v.
6
Suppose r - 4*p = 17, p + 42 = 5*r - 5. Calculate the remainder when 9 is divided by r.
0
Let z = 6 - 2. Let v(p) = -p**3 + 5*p**2 - p - 2. Calculate the remainder when v(z) is divided by 4.
2
Suppose r - 13 = 21. Let j be -1*(-2 - 1) - -1. Suppose 0*d + 72 = j*d. Calculate the remainder when r is divided by d.
16
Suppose 0 = 3*v - 0*r - r - 27, -4*r + 18 = 2*v. Let o(n) = 7*n - 2. Calculate the remainder when o(v) is divided by 21.
19
Let c be (-2 + 2)/(1 - -1). Suppose c*h + h - 5 = 0. What is the remainder when (2 + 14)*(-5)/(-10) is divided by h?
3
Let k(u) = -u**3 + 8*u**2 + 7. Calculate the remainder when k(8) is divided by 3.
1
Let p = 0 + 0. Suppose c + t - 8 = -c, 2*t = 8. Calculate the remainder when (1 + -2)*p + 4 is divided by c.
0
Let j = -10 + 21. What is the remainder when 43 is divided by j?
10
Let w be (-1)/(-4) + 45/12. Suppose w*x = -35 + 127. Calculate the remainder when x is divided by 13.
10
Suppose -3*v + 4*c + 66 = 0, 0 = v - 4*c - 26 - 4. Calculate the remainder when (-17)/(3/(-9 - 0)) is divided by v.
15
Let r(z) = 2*z + 8. Let p(f) = -f - 4. Let j(l) = 5*p(l) + 2*r(l). Calculate the remainder when (-102)/3*(-2)/4 is divided by j(-10).
5
Let f(c) = -c**2 - 16*c - 12. Calculate the remainder when 107 is divided by f(-13).
26
Suppose -4*p - 2*y = -22, 2*p + 2*y = 6*p - 18. Let u(d) = -d**2 + 10*d - 9. Calculate the remainder when u(3) is divided by p.
2
Let x(l) = -l**2 + 24*l + 11. Suppose 0*t = -4*t + 24. Calculate the remainder when x(24) is divided by t.
5
Let n = 27 + -18. Suppose 4*f - 2*f + 4*g - 58 = 0, 2*f + 2*g - 62 = 0. Calculate the remainder when f is divided by n.
6
Let r be 1 + 3/(-3) - -2. Suppose 8 = r*j + 2*j. What is the remainder when (-26)/(-8) - 2/8 is divided by j?
1
Suppose -4*g + 107 = -13. Calculate the remainder when g is divided by (-6)/((-7)/(84/8)) + 2.
8
Suppose c - 3*c = -28. What is the remainder when (2 - 0)/(-2)*-41 is divided by c?
13
Let t(g) be the first derivative of 5*g**3 + g**2 + g - 1. Suppose -4 = -2*c + 3*o, 4 + 7 = -5*c - 3*o. What is the remainder when 39 is divided by t(c)?
11
Suppose 3*c = 2*g + 33 + 17, 3*c - 4*g = 58. Calculate the remainder when 26 is divided by c.
12
Let z be ((-1)/(-2))/(1/64). Suppose -4*q + z = 4*h, 4*h = -3*q + 7*q + 40. Let t = -6 + h. What is the remainder when 8 is divided by t?
2
Suppose -4*p + 6*p = 0. Let o = 18 - 11. Suppose 2*r - o*r + 95 = p. What is the remainder when r is divided by 11?
8
Let y be 110/8 + (-1)/(-4). What is the remainder when 8 is divided by (-2)/4 - y/(-4)?
2
Let r = 5 + -11. Let z(c) = 2*c**2 + 7*c - 9. What is the remainder when 40 is divided by z(r)?
19
Let p(o) = o**2 + 2*o - 2. Let s be (0 - 1)*-10 + 0. Calculate the remain