412 is divided by x?
203
Let g be 1 + 2 - 0*9/27. Suppose g*v + 21 = 2*o, 5*v + 8 = 2*o - 3. What is the remainder when o is divided by 10?
8
Let d(g) = 138*g - 1779. Calculate the remainder when d(13) is divided by 9/4*2*2.
6
Let d = 8673 - 8657. Let r(b) = -22*b - 1. What is the remainder when r(-1) is divided by d?
5
Suppose -k - 5*o = -2777, 0 = -k - 438*o + 435*o + 2767. Calculate the remainder when k is divided by 60.
52
Suppose x + 31*x - 3104 = 0. Let i(l) = -4*l + 1. What is the remainder when x is divided by i(-5)?
13
Suppose 34 = -2*s - 3*h - 8, 0 = -3*s - 3*h - 69. What is the remainder when 274 is divided by 385/15 - (-18)/s?
24
Suppose 2*b = -2*r + 452, -3*b - 26*r + 21*r = -672. Calculate the remainder when b is divided by 37.
7
Suppose 7*n = 3*h - 12537, -3*h + 12597 = -n + 4*n. What is the remainder when h is divided by 233?
232
Let a = -106 - -146. Let w(p) = 3*p - 2. Let v be w(8). Suppose y = -y + v. Calculate the remainder when a is divided by y.
7
Suppose 3*x + 807 = 2*o, -4*x = 12*o - 7*o - 1937. What is the remainder when o is divided by 45?
33
Let f(u) = 26*u**2 + 73*u + 143. What is the remainder when 486 is divided by f(-2)?
82
Let w = 14 + -6. Let q = 0 + w. Calculate the remainder when (-450)/36*132/(-55) is divided by q.
6
Suppose -3*y - 2*y + 555 = 0. Let h = 1444 + -1428. What is the remainder when y is divided by h?
15
Let o = -1301 - -1406. Suppose 0 = 5*m - 468 + 93. Let k = o - m. Calculate the remainder when k is divided by 8.
6
Let c = -128 - -140. Calculate the remainder when 24 is divided by (28/(-24))/((-2)/c).
3
Let i = 104 - 99. Suppose -i*v - 128 = -7*v. What is the remainder when v is divided by 10?
4
Let j(p) = 2*p**3 + 40*p**2 - 544*p + 32. What is the remainder when j(10) is divided by 181?
49
Let d(n) = 86*n + 92. Calculate the remainder when d(6) is divided by 21.
20
Let c(m) = 3*m**2 + 34*m + 11. Let s be c(-11). Suppose 2*u + 12*u - 336 = s. What is the remainder when (-1)/(-5) + 458/10 is divided by u?
22
Suppose -18*u = 5*u - 17986. Suppose -58*i + u = -12*i. Suppose f + 4*r = 6*f - 40, r - 53 = -4*f. What is the remainder when i is divided by f?
5
Let c be (-4 + 70/15)/((-2)/(-60)). Suppose 3*s + c*o - 15*o - 612 = 0, 2*s + o = 408. What is the remainder when s is divided by 16?
12
Let l(r) = -15*r + 1016. Calculate the remainder when 1395 is divided by l(64).
51
Suppose 6*g + 2421 = 4719. Calculate the remainder when g is divided by 11.
9
Suppose 2*l + 58*z - 56*z - 9302 = 0, 0 = -2*l + z + 9320. What is the remainder when l is divided by 1161?
13
Suppose 44 = 4*o + 20. Suppose -o*q = 560 - 656. Suppose 3*j - 2*z = -0*z + 37, -2*z + 8 = 2*j. What is the remainder when q is divided by j?
7
Let i = -25177 + 25292. What is the remainder when 770 is divided by i?
80
Suppose k - 82*a = -77*a + 31, -4*a = 5*k - 97. Suppose -4*s + 3*x = -2519, 2 = -5*x - 3. Calculate the remainder when s is divided by k.
20
Let i(r) = 2*r**3 - r**2 - 18*r - 77. Calculate the remainder when i(6) is divided by 78.
55
Let j = -32591 + 32799. Calculate the remainder when j is divided by 3*11/3 - -3.
12
Suppose 7*f = -69 + 62. What is the remainder when 89 is divided by (-441)/(-14) + f/2?
27
Calculate the remainder when (-186238)/(-1566) - (2/18)/((-6)/4) is divided by 24.
23
Suppose 321*t + 19303 - 156370 = 0. What is the remainder when t is divided by 79?
32
Let i(w) be the first derivative of w**2/2 + 6*w - 40. Calculate the remainder when 18 is divided by i(5).
7
Let n(f) be the third derivative of f**4/8 + 11*f**3/2 - 21*f**2. Calculate the remainder when 25 is divided by n(-10).
1
Let s be 40/(-3)*(-78)/(-52). What is the remainder when (-5 - s)*(20*1 - 2) is divided by 21?
18
Let s(o) = -o**3 - 6*o**2 - 2*o - 11. Let u be s(-6). Let j be -2*u*2/4*-3. Suppose -66 = -0*b - j*b. What is the remainder when 65 is divided by b?
21
Let t be -12*((-4)/(-4) - -2). Let c = t + 63. Let i = 1319 + -1158. What is the remainder when i is divided by c?
26
Let t be -3 + 6 + (1 - -1). Suppose -j = t*v - 21, -3*j + 4*j = -4. Let y(k) = -k**3 + 9*k**2 - 9*k - 3. What is the remainder when y(v) is divided by 28?
24
Suppose 83*z = -1727 + 8865. What is the remainder when 568 is divided by z?
52
Let q(g) = 690*g + 2206. Calculate the remainder when 842 is divided by q(-3).
26
Suppose 1896 = 37*v + 342. Calculate the remainder when 2181 is divided by v.
39
Calculate the remainder when 247 is divided by (-3)/(-60) + (-19593)/(-140).
107
Let d = 863 - 812. What is the remainder when 283 is divided by d?
28
Let j = 9322 + -9148. What is the remainder when j is divided by 39?
18
Let u(d) = d**3 - 10*d**2 - 28*d + 51. Let m be u(12). Suppose m*c = -1 - 8, -4*x = 5*c - 1069. What is the remainder when x is divided by 55?
51
Let x(l) = -33*l. Calculate the remainder when x(-5) is divided by 17 + (-36)/126 + 232/28.
15
Let d = 90 + -88. Let g = 6 - 4. Suppose 0 = d*j - 44 + g. What is the remainder when 60 is divided by j?
18
Let j(g) = g**2 + 5*g - 52. Let h be j(0). Let s = 100 + h. Calculate the remainder when s is divided by 17.
14
Let b(r) = -3*r + 78. Let z = -325 + 339. What is the remainder when b(z) is divided by 23?
13
Let r = -54 + 64. Suppose -2*i + 2 = 3*o - 4, -i = 5*o - r. Suppose -o*d = -3*g - 3*d + 57, -2*g = 4*d - 48. What is the remainder when 69 is divided by g?
15
Suppose -2*k - 6 = -3*n, 12 = k - 5*k + n. Let d be 3/(-9)*k*2. What is the remainder when 78 is divided by -45*d/20*-6?
24
Let g(i) = 9*i**2 - 220*i - 18. What is the remainder when 693 is divided by g(26)?
1
Let r(z) = 8*z**2 - 9*z - 1. Let m(o) = -o**2 - 10*o + 4. What is the remainder when r(6) is divided by m(-9)?
12
Let v = 180 + -178. Let p(a) = 3*a**2 - 3*a + 6. What is the remainder when 58 is divided by p(v)?
10
Let s = 6814 + -6765. What is the remainder when 9748 is divided by s?
46
Let o = -11115 - -12306. What is the remainder when o is divided by 392?
15
Suppose 0*h - 25 = 5*o - 5*h, o = 3*h - 7. What is the remainder when 97 is divided by (-2)/o - (-663)/34?
17
Let u(l) = 340*l - 26. Calculate the remainder when u(2) is divided by 83.
73
Let v be -3 + -3*(-8)/(-6)*2. Let q(r) = r**3 + 10*r**2 - 11*r + 16. What is the remainder when q(v) is divided by 3?
1
Let c(s) = -3*s + 40. Let y(v) = v - 3. Let b be y(21). Let t be c(b). Let w(p) = p**3 + 15*p**2 + 10*p - 29. What is the remainder when 51 is divided by w(t)?
24
Suppose 0 = 292*u - 2162 - 133034. Calculate the remainder when u is divided by 451.
12
Suppose -4*v = 4*p - 2464, 2*p + 138*v - 1236 = 134*v. What is the remainder when p is divided by 145?
34
Let n(v) = 271*v**2 + 206*v + 3. Calculate the remainder when n(-2) is divided by 212.
39
Suppose 462 = -4*a + 482, 3295 = 4*o - a. What is the remainder when o is divided by 10?
5
Suppose 4*k - 2*v - 50 = 0, -k - v + 5 = v. Calculate the remainder when (-5 - -3)/(-6 + 660/111) is divided by k.
4
Let t(j) = -j**3 + 8*j**2 - 9*j + 5. Let q be t(5). Suppose v + 10 = q. What is the remainder when v is divided by 9?
7
Suppose 28*p = q + 24*p - 106, 0 = -5*q + 5*p + 620. Calculate the remainder when 790 is divided by q.
10
Suppose 2 = -2*f, 0 = 2*x + 14*f - 15*f - 9. Suppose 0 = -x*h - 299 + 1271. What is the remainder when h is divided by 41?
38
Suppose -179*s + 70848 = -138*s. Calculate the remainder when s is divided by 5.
3
Suppose 3*t = 12, -3*k - 5*t + 383 - 105 = 0. What is the remainder when 313 is divided by k?
55
Suppose 2*j - 3*a - 4 - 7 = 0, 7 = -5*j - 4*a. Let i be (72/9)/(j/2). Suppose i + 12 = n. What is the remainder when n is divided by 8?
4
Suppose 27*b = 36*b - 162. Calculate the remainder when (2037/(-14) + -4)*-2 is divided by b.
11
Let b = -11215 - -11444. Calculate the remainder when 872 is divided by b.
185
What is the remainder when 197232/80 + (-7)/5 is divided by 50?
14
Let v(x) = -64*x - 11. Let p be v(-9). Let y = p - 496. What is the remainder when y is divided by 7?
6
Suppose 4*p - 4 = -3*o + 96, 4*o + 72 = 4*p. Calculate the remainder when 747 is divided by p.
21
Suppose 26*i = 22*i + 4, 0 = -5*n - i + 10531. Calculate the remainder when n is divided by 32.
26
Suppose 0 = o - p, p - 1 = -2*o + 14. Suppose -o*z + 1 = 6. Calculate the remainder when 129 is divided by (132/(-2))/(-1 + z).
30
Let c(l) = -3*l**3 - l