25*c + 280 = 39*c. What is the remainder when c is divided by 3?
2
Suppose -4*o = -24 - 8. Suppose 2*t - 3*j - 76 = -o*j, 0 = -3*t + j + 97. What is the remainder when 164 is divided by t?
32
Let a = 312 + -157. Suppose 2*h - 2*o - a = 3*o, 5*o = -2*h + 165. Suppose -4*y + h = 28. Calculate the remainder when 62 is divided by y.
10
Suppose -p + 0*p + 34 = 0. Let g = 224 + -217. Calculate the remainder when p is divided by g.
6
Let l = -3 - -11. Let m = l + -5. Suppose 2*h - 72 = 2*v + 20, v = -m*h + 154. What is the remainder when h is divided by 17?
16
Let i(y) = y + 22. Let c = -4 - 10. Let a be i(c). What is the remainder when 73 + -1 + a/4 is divided by 19?
17
What is the remainder when 1*(128 - (-2 - 9)) is divided by 37?
28
Suppose -3*y + 113 = -3*q - q, -78 = -2*y + 4*q. Calculate the remainder when y is divided by 4/14 + (1098/(-14))/(-9).
8
Let j(q) = -q**3 - 3*q**2 - q + 1. Let d be j(-3). Suppose -6*y + d*y = 0. Suppose y*g + 12 = g. Calculate the remainder when 21 is divided by g.
9
Let h(t) = t**3 + 5*t**2 - t + 1. Let c be h(-5). Let v = -9 + c. What is the remainder when 45 is divided by 19 - (3 + (-3 - v))?
13
Suppose -216*o - 1126 = -218*o. Calculate the remainder when o is divided by 12.
11
Let v be (2 - -2) + -2 + 0. Suppose -4*a + v = -2. Calculate the remainder when (a - 0)*(7 - -31) is divided by 20.
18
Calculate the remainder when (-22)/5*(-70)/4 is divided by 21.
14
Suppose 41 - 131 = -5*o. Let c = o + 2. Let g = 6764 - 6727. What is the remainder when g is divided by c?
17
Let w = -1126 + 1222. What is the remainder when w is divided by 28?
12
Let f = 0 + 32. Suppose -4*o = -2*m + f, 5*m + 4*o - 9 = 29. Calculate the remainder when m is divided by 8.
2
Suppose -64 - 26 = -10*a. Let i(r) = -r**2 + 9*r + 20. Calculate the remainder when 58 is divided by i(a).
18
Let u(r) = -3*r**3 - 4*r**2 + 2. Let a be (13/(-2)*-2)/(-1). Let j(p) = p**2 + 12*p + 12. What is the remainder when u(-3) is divided by j(a)?
22
Let i = 206 + -194. What is the remainder when 47 is divided by i?
11
Suppose 4*x + x = -4*q + 99, 7 = x + 4*q. Calculate the remainder when 67 is divided by x.
21
Suppose -u = u - 4. Let h = 3 - u. Calculate the remainder when 11*6/10 + (-318)/(-795) + -6 is divided by h.
0
Suppose -58*o + 5070 = 82. What is the remainder when o is divided by 29?
28
Let l be -10*(-8)/20 + 15. Suppose -p + 5*f = 2*f - l, -2*f - 17 = -p. What is the remainder when 219 is divided by p?
11
Suppose 32 = 5*j - b, 4 - 2 = 2*j - 4*b. Suppose -j*s = -3*s - 92. Calculate the remainder when s is divided by 2/6 + 105/9.
11
Let l(v) = 4*v**3 - 2*v**2 + 1. Let n be 45/27 - (-2)/6. Let x be 2/(-2) + n + 1. What is the remainder when 98 is divided by l(x)?
23
Let z = -57 - -62. Calculate the remainder when 0*2/(-4) + (z - -104) is divided by 11.
10
Let q = -72 + 33. Let m = 131 + q. Let r = m - 45. What is the remainder when r is divided by 25?
22
Let z be -8 - -1 - 3/(-1). Let b(i) = i**3 + 5*i**2 + 4*i + 3. Calculate the remainder when 15 is divided by b(z).
0
Let h(l) = -l**2 + 16*l - 15. Let p be h(6). Suppose -s + 26 = 4*i, -6*s + s - 3*i + p = 0. Calculate the remainder when 71 is divided by s.
5
Let p(b) = -28*b - 27. Calculate the remainder when p(-7) is divided by 58.
53
Let w(v) = -13*v**2 + 24*v - 10. Let j(i) = 7*i**2 - 12*i + 5. Let f(a) = 9*j(a) + 4*w(a). What is the remainder when f(2) is divided by 20?
5
Let c(g) = 15*g + 50. What is the remainder when 7 is divided by c(-3)?
2
Let w be (-1)/(((-15)/(-6))/(-5)). Let l be (-4)/14*(-28)/w. What is the remainder when (l - 4/(-16))*4 is divided by 9?
8
Let f(w) be the first derivative of 5*w**4/4 - 2*w**3/3 - 2*w**2 + 4*w + 10. Calculate the remainder when f(3) is divided by 37.
35
Calculate the remainder when 115 is divided by (3/1)/(354/5074).
29
Let o = 24 + -24. Let k(f) = f**2 - 2*f + 92. Calculate the remainder when k(o) is divided by 31.
30
Suppose 2*v = -3*o + 309, 0*v = -4*v - 2*o + 638. Suppose -v = -9*z + 3*z. Let g = -94 - -145. What is the remainder when g is divided by z?
24
Let o = -3064 + 3068. Let f(x) be the first derivative of x**4/4 - x**3/3 - x**2/2 + 5*x - 1. Calculate the remainder when f(0) is divided by o.
1
Let f = -1292 + 1316. What is the remainder when 88 is divided by f?
16
Let z = -373 - -426. What is the remainder when z is divided by 15?
8
Let x be 8/(-28) + (2 - (-1182)/21). Let c = x + -50. Calculate the remainder when 47 is divided by c.
7
Let j = 260 - 206. Suppose 3*i = 3 - 9. What is the remainder when j is divided by i/(-7) + (-576)/(-42)?
12
Suppose 3*a + 219 = 2*m, -2*m = -6*m + a + 423. Let u = 156 - m. What is the remainder when u is divided by 1 + (4 - 3 - -25)?
24
Suppose 15 = -5*o, -5 - 8 = -c + 3*o. Let m = 7 - 2. Let p = m - c. Calculate the remainder when p is divided by 1.
0
Let w = 223 - 80. What is the remainder when w is divided by 37?
32
Suppose 4*p = 2*c + 6*p, 0 = 3*c - 4*p - 14. Calculate the remainder when -9*3*c/(-6) is divided by 4.
1
Suppose -i = -0*i - 7. Suppose i*o = -7*o + 154. What is the remainder when o is divided by 3?
2
Let h(b) = 2*b - 3*b**2 + 11*b**3 - 2 - 8*b + 4*b. What is the remainder when h(3) is divided by 53?
50
Suppose 14*o - 15*o + 36 = 0. What is the remainder when 106 is divided by o?
34
Suppose 2*z + 0 = -6, -4*z = -2*g + 94. Suppose 3*u = -3, 4*o - 4*u - 23 = g. Let k = 25 + -16. What is the remainder when o is divided by k?
6
Suppose 3*b = 7 + 5. Suppose b*t - 5*t = -136. What is the remainder when t is divided by 47?
42
Let r = 28 - -28. Suppose -5*i = m - r, 4*i + 2*m - 42 = 4*m. Calculate the remainder when 18 is divided by i.
7
Let q = 29 - 26. Suppose -34 = q*z - 4*z. Calculate the remainder when z is divided by ((-3)/2)/(1/(-12)).
16
What is the remainder when 108 is divided by 66 + -73 - -5*11?
12
Let f(k) = -k**3 - 20*k**2 - 37*k + 30. Calculate the remainder when 185 is divided by f(-18).
41
Suppose 11 = v - 3*h - 12, -2*h = -3*v + 97. What is the remainder when 69 is divided by v?
34
Suppose -3*k = -1 - 5. Suppose -4*r + k*r = -204. Calculate the remainder when r is divided by 35.
32
Suppose -34*v - 2086 = -48*v. What is the remainder when v is divided by 30?
29
Let w = 114 + 15. What is the remainder when w is divided by 17?
10
Suppose -8*m = 5*m - 741. What is the remainder when m is divided by 20?
17
Let u(v) = 6*v**2 - 40*v - 10. What is the remainder when u(8) is divided by 17?
3
Suppose -8 = -f - f. Suppose 3*u - 823 = -5*k, k + 2*u + 509 = f*k. Calculate the remainder when k is divided by 34.
31
What is the remainder when 16/(-8) - -36 - (1 - 5) is divided by 23?
15
Suppose i + 3 = 2*i. Suppose i*h + 2*t = 0, -2*h + 0*h - 11 = 5*t. What is the remainder when 2 is divided by h?
0
Let u(r) = r + 21. Let y(a) = a**3 + 23*a**2 - 8. Let s be y(-23). What is the remainder when 23 is divided by u(s)?
10
What is the remainder when (824/(-6))/((-8)/12) is divided by 16?
14
Let x(b) = -b**2 + 6*b - 1. Let q be x(5). Suppose -q*y + a - 3*a - 66 = 0, -5*a + 73 = -4*y. Let i = 20 - y. Calculate the remainder when i is divided by 19.
18
Let f be (-592)/(-20) - 4 - 4/(-10). Let q = 9 - 2. Calculate the remainder when f + -1 - (-3 - 0 - -1) is divided by q.
6
Suppose s - 5 = 0, 5*s = 3*d + 4 + 15. Calculate the remainder when 62 is divided by d.
0
Suppose -7*g = -3*g - 52. Let x(z) = z**3 + 8*z**2 - z. Suppose 4*w - 2*y = -26, 2*w - 5*y - 39 = 5*w. What is the remainder when g is divided by x(w)?
5
Let i(g) = 3*g**3 - 2*g**2 + 2*g + 222. Calculate the remainder when i(0) is divided by 32.
30
Calculate the remainder when 1225 - (-11 + -110)/(-11) is divided by 64.
62
Suppose 4*y - 1269 = -3*b, -5*b = -7*y + 11*y - 2123. What is the remainder when b is divided by 11?
9
Let t(m) = -m**3 + 6*m**2 + 3*m + 4. Let z be 1520/(-25) - (-2)/(-10). Let p = z - -103. What is the remainder when p is divided by t(6)?
20
Suppose 69*d - 6448 = 17*d. Calculate the remainder when d is divided by 13.
7
Let b = 1398 - 1253. What is the remainder when b is divided by 30?
25
Suppose 4*h - 3*q = -q - 46, -4*h - 3*q = 31. What is the remainder when 53 is divided by h/(-5)*19/2?
15
Let x be (12/(-4) + 1185)*3/9. Suppose x = 6*y - 224. Calculate the remainder when y is divided by 26.
25
Let q(r) = -r**3 - 5*r**2 + 15*r - 35.