t a = n + v. Calculate the remainder when 18 is divided by a.
8
Suppose -3*n + 6 = -6*n. Suppose -5*x + 67 + 13 = 0. Let s = x - n. What is the remainder when 69 is divided by s?
15
Let d be (-4)/2 - 3*(-16)/3. Suppose 110 = d*g - 2. What is the remainder when 37 is divided by g?
5
Suppose 12*y = -321 + 1269. What is the remainder when y is divided by 23?
10
Suppose 27*w = 25*w + 180. What is the remainder when w is divided by 13?
12
Let w(f) = -10*f - 6. Let p be w(-2). Let b = 58 - p. What is the remainder when 218 is divided by b?
42
Let g = -2 + 11. Let t be (-3)/9*0 - -29. Suppose 1 = 2*u - t. Calculate the remainder when u is divided by g.
6
Suppose 2*i = -3*a + 207, -61 = -a - i + 3*i. What is the remainder when 76 is divided by a?
9
Let r(p) = p**2 + 3*p - 24. What is the remainder when 11 is divided by r(-7)?
3
Let l be (416 + 2 + 0)/(-1). Suppose 2*t = 10, -5*q - 4*t + 50 = t. What is the remainder when 15 is divided by l/(-55) + 2/q?
7
Suppose 1473 = 20*x - 1187. Calculate the remainder when x is divided by 66.
1
Suppose -5*t - t = -114. Let j(y) = y**2 - 5. Suppose 3*p - 7 - 5 = 0. Calculate the remainder when t is divided by j(p).
8
Suppose -3*s + 69 = -3. Suppose 0 = -12*j + 16*j + 392. Let q = j - -192. What is the remainder when q is divided by s?
22
Suppose -4*o + 4 = 4*s, -3*o = -2*o - 3*s + 3. Let v(h) = -h**3 - h + 6. Let f(y) = -18*y + 221. What is the remainder when f(11) is divided by v(o)?
5
Suppose 0 = -7*x + 53 + 150. Calculate the remainder when x is divided by 15.
14
Let f(a) = -a**3 - 7*a**2 - 14*a + 4. What is the remainder when f(-6) is divided by 19?
14
Suppose -18*v = -23*v + 5*t + 5, 5*t = -5*v + 45. Let y = 13 - -5. Calculate the remainder when y is divided by v.
3
Let x(o) = o**3 - 7*o**2 + 13*o. What is the remainder when x(7) is divided by 50?
41
Suppose v = 3*r - 172 - 330, 3*v = 15. Suppose -4*a = -b + 15, -2*b = 3*b + a - 96. What is the remainder when r is divided by b?
17
What is the remainder when 3/((-36)/(-1160)) - (-15)/(-9) is divided by 20?
15
Calculate the remainder when ((108/(-24))/(-9))/((-1)/(-90)) is divided by 6.
3
Let b(x) = x**2 + 5*x - 4. Let y be b(-6). Suppose -y*g - 2*g - 5*c + 206 = 0, 0 = -4*c - 8. Calculate the remainder when g is divided by 20.
14
Suppose x + 2*x - 318 = 0. Let p = x - 36. Calculate the remainder when p is divided by 36.
34
Let a(t) = 67*t**3 - 3. Let b be a(2). Suppose -5*c - b = -5*m + m, -4*m = 5*c - 483. What is the remainder when m is divided by 32?
31
Suppose 4*o + w = 2*w - 28, 4*o = -w - 28. Let f(l) = -l**2 - 7*l + 16. Let x be f(o). Let s = -14 + x. Calculate the remainder when 8 is divided by s.
0
Calculate the remainder when (-11 + (-312)/(-20) - 4) + 364/10 is divided by (-2)/5 - (-42)/5.
5
Let q(n) = 4*n - 9. Suppose -s - 4*s + 15 = 0. Suppose s*f - 228 = -f. What is the remainder when f is divided by q(6)?
12
Let i = -218 + 448. What is the remainder when i is divided by 11?
10
Suppose 4*l - 28*h + 23*h = 200, -l - h = -59. Calculate the remainder when l is divided by 32.
23
Suppose 2*z + 3*z = 0. Suppose x + 2*x - 3 = z. Calculate the remainder when (x*-3)/((-3)/38) is divided by 10.
8
Let j = 287 + -216. Calculate the remainder when 135 is divided by j.
64
Let y = 37 + -7. Suppose -3*r = -4*p - y, 0*r = -5*r + 2*p + 50. What is the remainder when 47 is divided by r?
7
Suppose -28*c = -25*c - 183. Calculate the remainder when 182 is divided by c.
60
Suppose -5*t + 10*t - 15 = 0. Suppose -w - 4*w = 4*h - 403, t*w + 2*h = 241. What is the remainder when w is divided by 20?
19
Let s = -25 - -29. Calculate the remainder when 3 is divided by (-2 + s)*-1 - -4.
1
Suppose -2*x + 19 = 5*l, 3*x + 5 = -l + 1. Suppose 0*p = 3*p. Suppose -g + p = -l. Calculate the remainder when 7 is divided by g.
2
Let w = 57 - 24. Let n = -43 - -63. What is the remainder when w is divided by n?
13
Let v be (18/15)/(4/10). Suppose -63 + 5 = -3*p + u, v*u + 66 = 3*p. Calculate the remainder when 87 is divided by p.
15
Suppose 15*a - 3*a - 144 = 0. Let m = a + 29. Calculate the remainder when 79 is divided by m.
38
Suppose -5*i + 0 + 5 = 2*k, 9 = 2*k + i. What is the remainder when 12 is divided by 1/k - 493/(-85)?
0
Suppose -6*v + 137 = -619. What is the remainder when v is divided by 26?
22
What is the remainder when 61 is divided by ((-20)/10 - -8)*14/3?
5
Suppose 0 = -5*b + 2*p + 55, -b - 10 + 28 = p. Calculate the remainder when 15 is divided by b.
2
Suppose -3*g + 3 = -0*g. Let h(f) be the first derivative of 53*f**2/2 + f - 1. Calculate the remainder when h(g) is divided by 19.
16
Let u(h) = 5*h**2 - 206*h + 65. What is the remainder when 522 is divided by u(41)?
18
Let j(f) = f + 1. Suppose 0 = -0*k - 2*k. Suppose 2*y + 2*y - 108 = k. Calculate the remainder when y is divided by j(6).
6
Suppose 2*m - 36 = 3*d, 5*m = 4*m + 5*d + 11. Let f(u) = 2*u**3 - 9*u**2 - 19. Calculate the remainder when m is divided by f(5).
3
Let n = -734 - -751. What is the remainder when 405 is divided by n?
14
Suppose -27*a = 67*a - 28764. Calculate the remainder when a is divided by 83.
57
Suppose -3*o - 22 = w - 7*o, 2*o + 34 = -4*w. Let s be 6/w + (-126)/(-10). Suppose -2*u + s = -10. What is the remainder when u is divided by 3?
2
Let l(u) = -u**2 - 26*u + 49. What is the remainder when l(-24) is divided by 51?
46
Let j = -71 - -70. Let i = 14 - j. What is the remainder when 55 is divided by i?
10
Suppose -2*o - 147 = -9*o. Calculate the remainder when 36 is divided by o.
15
Suppose y + 64 = 3*y. Let i(h) = -7*h**3 - 1 - 2*h + 8*h**3 + 0*h + 2*h**2. Calculate the remainder when y is divided by i(2).
10
Suppose 5*l + 87 + 18 = 0. Let z be (-6)/21 + (-174)/l. What is the remainder when 34 is divided by (-1 - 1) + 56/z?
4
Let w be (58/6)/((-10)/3 + 3). Let b = -21 - w. What is the remainder when 15 is divided by b?
7
Let s = -102 + 181. Let l be -4 - 0 - -5 - -1. Suppose l*a + q - 20 = 6*q, -4*a + 76 = -q. Calculate the remainder when s is divided by a.
19
Suppose 3*i = -13*i + 112. Let p(c) = -c**2 - 17*c - 30. Calculate the remainder when p(-13) is divided by i.
1
Let n(x) = -2*x**2 + x**3 + 2 + 0*x**3 - x - 2*x**3. Let j(z) = 4*z**2 - 5*z + 9. Calculate the remainder when j(4) is divided by n(-3).
11
Let c = 1282 + -154. Calculate the remainder when c is divided by 10.
8
Suppose 0 = 2*m - 0*s - 2*s - 26, 2*m - 32 = 4*s. Calculate the remainder when (0 + -5)*2/m*-3 is divided by 3.
0
Let j = -32 + 45. Suppose 5*b = -2*w - w - 19, -j = -4*w + b. Calculate the remainder when 60 + 6/(-2) + w is divided by 20.
19
Calculate the remainder when 1854/(-12)*2/(-3) is divided by ((-1)/3)/((-3)/234).
25
Let z = 69 - 54. Calculate the remainder when -2 + (-3)/(-3) + 58 is divided by z.
12
Let u = -5 - -7. Suppose n = u*n - 7. Calculate the remainder when n is divided by 2.
1
Let t(k) = k**2 - k - 10. Let m be (2 - (3 + -1))/3. Let s be t(m). What is the remainder when 19 is divided by 2/s + (-112)/(-10)?
8
Suppose 0 = -5*g - 4*v + 53, -2*v + 50 = 5*g + 3*v. Calculate the remainder when 72*3/(-4)*2/(-3) is divided by g.
10
Let m = 2 - -15. What is the remainder when 6030/(-60)*4/(-6) is divided by m?
16
Let k be 4/3*(-27)/(-9). Suppose 0 = -4*v + k*r - 28, 0 = -4*r - 0 + 12. What is the remainder when 4 is divided by (1 + 1)*v/(-2)?
0
Let v(c) = -4*c - 5*c - 4*c + 20 - c**2. Let h(d) = -d**2 + 3*d + 4. Calculate the remainder when v(-14) is divided by h(3).
2
Let z(m) = 38*m - 275. What is the remainder when 76 is divided by z(8)?
18
Suppose -28*c + 27*c = 2*w - 40, 3*c - 5*w - 98 = 0. What is the remainder when 683 is divided by c?
35
Let o(u) = -3*u + 68. What is the remainder when 46 is divided by o(18)?
4
What is the remainder when 13090/153 - (-12)/27 is divided by 15?
11
Suppose 2*k = -2*w + 34, 0*k = 5*k + 2*w - 94. Calculate the remainder when (5 - -1)*k/32*4 is divided by 10.
5
Suppose 513 = -11*p + 3494. Calculate the remainder when p is divided by 91.
89
Suppose -5*m + 27 = 3*u, -10 = -5*m + 4*u + 24. What is the remainder when 4 - -28 - 6/2 is divided by m?
5
Let y = 125 + -106. Suppose -y = -7*f + 23. What is the remainder when 45 is divided by f?
3
Let i(l) = 5*l - 28. Suppose -o - 69 = -5*x, x + 2 = -o + 11. What is the remainder when i(x) is divided by 19?
18
Suppose 3*z + 2*d + 2*