 52. What is the remainder when i is divided by x(8)?
10
Let o(w) = w**3 - 8*w**2 + 9*w + 4. Suppose 78 = 3*l + 3*l. Suppose 0 = 11*x + l*x - 768. What is the remainder when x is divided by o(7)?
14
Let d(n) = n**2 + 2*n. Let a be d(-3). Suppose a*q - 7 = -4*f, -2*q = 3*q + f - 40. Calculate the remainder when q is divided by 4 + 1 + 0 + 1.
3
Suppose 3*n + 5 + 2 = 4*j, 4*j + 2*n = 22. Let y = -63 - -65. Suppose 5*t = -y*t + 49. Calculate the remainder when t is divided by j.
3
Suppose 5*f + 72 = 11*f. Suppose 6*z + f = 72. What is the remainder when 13 is divided by z?
3
Suppose -18*s - 2*o = -23*s + 518, -3*s = -3*o - 318. What is the remainder when s is divided by 16?
6
Let h be (40/(-32))/(1/(-4)). Suppose -60 = -h*n + 2*n. Let x = -5 + 12. Calculate the remainder when n is divided by x.
6
Suppose -8*y + 189 = -75. What is the remainder when y is divided by 5?
3
Suppose -20*f - 129 = -17*f. Let w = 86 - 3. Let k = w + f. Calculate the remainder when 79 is divided by k.
39
Suppose 2*o + 1166 = 5*c, 2*c + 223 = 3*c + 3*o. Calculate the remainder when c is divided by 9.
7
Suppose 0 = -2*t - 180 + 882. Calculate the remainder when t is divided by 44.
43
Let c(s) = -s**3 - s**2 + 30. Let v(z) = z**3 - 9*z**2 + 8*z + 2. Let j be v(8). Suppose 0 = -j*a + 4*a. Calculate the remainder when c(a) is divided by 8.
6
Suppose -8*c + 258 = -6*c - 5*p, -486 = -4*c - 5*p. What is the remainder when c is divided by 64?
60
Suppose 0 = -f - y + 5*y + 84, f + 2*y - 78 = 0. Let b = 518 - 490. Calculate the remainder when f is divided by b.
24
Let y = 138 + -75. What is the remainder when y is divided by ((-4)/(-6))/((-4)/(-66))?
8
Suppose -p - 1 + 19 = s, -24 = -p - 3*s. What is the remainder when 569 is divided by p?
14
Suppose 0 = -6*g + 42 + 36. Calculate the remainder when 154 is divided by g.
11
Let z = 25 + -5. What is the remainder when ((-174)/(-9) - 0)*3 is divided by z?
18
Suppose 5*x - 295 = -5*b, 10*x - 118 = 8*x + 4*b. Calculate the remainder when x is divided by 31.
28
Suppose 231 = 7*h - 4*h. Let c = -264 - -291. Calculate the remainder when h is divided by c.
23
What is the remainder when 145 is divided by 2*((3 - -6) + -4)?
5
Suppose 0 = 5*w - 2*r + r - 330, -5*r + 40 = w. What is the remainder when w is divided by 6?
5
Let p = -26 - -24. Let d(s) = 2*s**2 + s. Calculate the remainder when (-8)/p - 0 - -23 is divided by d(-2).
3
Suppose -1068 = -4*p - 2*n, 5*p = n - 3*n + 1333. Suppose -45*z + 40*z = -p. What is the remainder when 317 is divided by z?
52
Suppose -4*c + 2*r + 550 = 0, c - 5*r - 241 = -81. What is the remainder when c is divided by 20?
15
Let z(y) = y + 2*y + 17*y**3 - 3*y. Suppose -4*n + 336 = n - 3*d, n = -2*d + 62. Calculate the remainder when n is divided by z(1).
15
Suppose -5*o = 4*q + 8 + 10, 3*q = -5*o - 11. Let p = q + 24. Calculate the remainder when p is divided by 10.
7
Let b = 703 + -675. What is the remainder when 134 is divided by b?
22
Let a(r) = 43*r + 19. Calculate the remainder when a(6) is divided by 28.
25
Let u = 1928 - 1903. What is the remainder when 52 is divided by u?
2
Suppose 0 = -2*o - 3*o + b + 581, 6*o = -5*b + 691. Calculate the remainder when o is divided by 28.
4
What is the remainder when 31 is divided by 2/(-3) + 200/30?
1
Suppose -31*c + 2862 = 320. Calculate the remainder when c is divided by 34.
14
Let a be -2 + -14 + 2 + 2. Let u be a/(-3)*-6*5. Let n = u + 197. Calculate the remainder when n is divided by 26.
25
Let w(f) = -6*f - 10. Let s be w(2). Let i = 35 + s. Calculate the remainder when 62 is divided by i.
10
Suppose -55 = -34*q + 489. Suppose 0 = 5*d - 3*t - 625, 2*t = d + 5 - 130. What is the remainder when d is divided by q?
13
Suppose 5*w = -95 + 10. Let t = w + 11. Calculate the remainder when (-8)/t + (-267)/(-9) is divided by 11.
9
Let m(v) = v**2 + 3*v. Let g be m(-3). Suppose 5*u + d = 220, g = u + 2*d + 13 - 66. Let s = 431 + -408. What is the remainder when u is divided by s?
20
Suppose 59 = -6*c + 359. What is the remainder when 138 is divided by c?
38
Let k(j) = j + 7. Let p be k(-5). Let q(l) = 4*l**2 + 2*l - 6. What is the remainder when 66 is divided by q(p)?
10
Let t(l) = 11*l**2 + 20*l - 87. What is the remainder when t(4) is divided by 10?
9
Let s be ((-48)/(-9) - 4)/(3/90). Suppose r + 216 = 2*m, -s = -m + r + 70. Calculate the remainder when m is divided by 18.
16
Let w be (5 - 11)*(-1)/3. Let r(y) = -y**2 + 3 - w - 2 + 0 + 7*y. What is the remainder when 17 is divided by r(5)?
8
Suppose 5*i - 724 = -42*b + 44*b, 2*b = 3*i - 432. What is the remainder when i is divided by 49?
48
Suppose 0 = 79*m - 70*m - 90. What is the remainder when m is divided by 6?
4
Let b(t) = -t**2 + 18*t - 11. Let p be b(15). Let v = p + -21. Let l = 23 - v. What is the remainder when 67 is divided by l?
7
Suppose -v + 823 - 113 = 0. What is the remainder when v is divided by 23?
20
Calculate the remainder when 135 is divided by 71/3*(8 + -5).
64
Suppose 0 = -3*j - 0*j + 36. Suppose 39 + j = g. What is the remainder when g is divided by 13?
12
Let o(r) = 15*r - 138. What is the remainder when o(20) is divided by 45?
27
Suppose -63*o - 5713 = -37969. What is the remainder when o is divided by 11?
6
Suppose 9 - 72 = -7*a. Suppose -a*v + 0*v = -288. Calculate the remainder when 189 is divided by v.
29
Suppose -3*u = -27 + 15. Let g(b) = 8*b**2 - 1. What is the remainder when g(u) is divided by 44?
39
Let i(v) = -v**2 - v + 1. Let d(h) = -4*h**2 - 4*h + 2. Let w(b) = -2*d(b) + 7*i(b). What is the remainder when w(-4) is divided by 9?
6
Suppose 38*i + 22071 = 59*i. What is the remainder when i is divided by 62?
59
Let k(p) = 27*p**2 + 2*p + 1. Calculate the remainder when 73 is divided by k(-1).
21
Suppose -12 = -21*b + 17*b. Suppose b*q - 115 - 23 = 0. What is the remainder when q is divided by 24?
22
Suppose -2*v - 4*y = -108, -5*v + 0*v + 3*y + 283 = 0. Calculate the remainder when 1007 is divided by v.
55
Let x(f) = -f**3 - 9*f**2 + 11*f + 10. Let b be x(-10). Suppose 0 = -b*s - s + 27. Let h = -17 + s. Calculate the remainder when 19 is divided by h.
9
Let y(r) = 15*r**2 - 5*r**3 + 2*r + 2*r**3 + 4*r**3 + 11*r. What is the remainder when 25 is divided by y(-14)?
11
Let y(k) = -k**3 + 5*k**2 + 5*k + 18. Calculate the remainder when 14 is divided by y(6).
2
Calculate the remainder when ((-8)/2)/((-92)/667) is divided by 3.
2
Let a(v) = -2*v + 1. Suppose -9*z = -4*z - 10. Calculate the remainder when a(-1) is divided by (4 - 8/z) + 3.
0
Let l(p) = -p**2 + 1. Let z(c) = 3*c + 5*c**2 + c**3 + 5*c**2 + 0*c**3 - 2 + c. Let r(v) = -4*l(v) - z(v). What is the remainder when r(-6) is divided by 12?
10
Suppose -218 - 1105 = -21*h. Calculate the remainder when 139 is divided by h.
13
Let h(f) = 119*f + 382. Let q(t) be the second derivative of t**5/20 - t**4/4 - t**3/3 + 7*t**2/2 + 2*t. Calculate the remainder when q(5) is divided by h(-3).
22
Let q = -93 + 98. Suppose 2*f + 3*l = 5*f - 402, -q*l - 538 = -4*f. Calculate the remainder when f is divided by 34.
30
Let f(u) = -u**3 - u**2 + u + 1. Let a be f(-2). Let i(x) = x**3 - 2*x + 5. What is the remainder when -3 + (6/a - -15) is divided by i(0)?
4
Let b = -22 + 42. Calculate the remainder when 65*-4*(-9)/60 is divided by b.
19
Suppose -3*m = -m + x + 113, -5*m - 3*x = 283. Let r = -31 - m. What is the remainder when r is divided by 10?
5
Let m = 9 + -4. Let h = 83 - 65. Suppose h = a - 0*a + m*g, -5*a = -2*g - 9. What is the remainder when a is divided by 1?
0
Let s = 475 - 458. What is the remainder when 114 is divided by s?
12
Suppose 0 = -2*s - 5*w + 85, -20*s - w + 201 = -15*s. Calculate the remainder when 72 is divided by s.
32
Let c(v) be the first derivative of -11/2*v**2 - 6 - v. What is the remainder when 39 is divided by c(-1)?
9
Let o(v) = 21*v**3 - 3*v + 3. What is the remainder when 139 is divided by o(1)?
13
Suppose 5*p - 50 = -0*p. Suppose -5*m = a - 22, m = 6*m - 5*a - p. Let q = 31 + m. What is the remainder when q is divided by 9?
8
Let h = -8 - -11. Suppose 3*r + 9 = 0, h*y + r - 11 = 2*y. Calculate the remainder when 39 is divided by y.
11
Let k(j) = -j**2 - j + 4. Let u be k(2). What is the remainder when 34/(2 - (u - -3)) is divided by 6?
4
Let z = 4 + 6. Suppose -24*b - 199 - 356 = -39*b. What is the remainder when b is 