
6
Suppose -3*c + 65 = -2*w - 3, c = 4*w + 6. Let y = -35 - -43. What is the remainder when c is divided by y?
2
Let y be (-1100)/(-5) + (-4)/1. Let k = y - 95. What is the remainder when k is divided by 32?
25
Suppose -3*c + 61 = -3*o + 8*o, 4*c + 40 = 2*o. Suppose 0*m - 2*m - 5*w = 474, 5*m = 4*w - 1218. Let i = -91 - m. What is the remainder when i is divided by o?
11
Suppose -266273 = -35*t + 344590 + 110207. What is the remainder when t is divided by 17?
15
Suppose m + 5*t = 27, 965 - 945 = -5*t. Calculate the remainder when 3430 is divided by m.
46
Let z(w) = -w**2 - 149*w - 1912. Calculate the remainder when 2173 is divided by z(-133).
13
Let q(f) = 2*f**2 + 2. Let g(t) = 9*t**2 + 3*t - 23. Let k(o) = g(o) - 4*q(o). What is the remainder when k(15) is divided by 9?
5
Let q(i) be the first derivative of -i**3/3 + 6*i**2 - 14*i - 9. Let c be q(9). Calculate the remainder when 45 is divided by c - 4/(8/2).
9
Let y be ((-72)/(-21))/((3/(-7))/3). Let u = 36 - y. Calculate the remainder when u is divided by 33.
27
Suppose 8922 = 60*y + 1362. Calculate the remainder when 390 is divided by y.
12
Suppose 4*k - 26 = -u, -5*u - 13*k = -9*k - 66. Let s = 507 + -219. Calculate the remainder when s is divided by u.
8
Suppose 0 = -3*u + 4*u - 106. Suppose 2*m = 4*l + 302, -3 = -5*l + 7. Suppose m = 9*n - 97. Calculate the remainder when u is divided by n.
22
Let r(q) = -3 + 9*q - 1 - 4 - 35*q. What is the remainder when r(-9) is divided by 57?
55
Let y = 232 - 161. Suppose 0 = -f - 2*f + 15. Suppose 3 = -3*o - 12, -4*g + f*o + 105 = 0. Calculate the remainder when y is divided by g.
11
Let p = 26 - -262. Suppose -3*t + q = -p - 120, -2*t - 2*q = -264. Calculate the remainder when t is divided by 37.
24
Suppose -3*m + 217 = -i, m - 43 = 4*i + 33. Suppose -b + 5*b = 76. What is the remainder when m is divided by b?
15
Suppose 18*p - 810 = 1494. Suppose 0 = -17*k + 808 - p. What is the remainder when 193 is divided by k?
33
Suppose 82*a - 87*a = -95. Suppose -5 = h, -a*i - 3*h + 60 = -14*i. Calculate the remainder when 237 is divided by i.
12
Let c = 562 + -220. Let s = 661640 - 661582. Calculate the remainder when c is divided by s.
52
Let c(f) = -18*f - 2. Let y be c(-4). Let g(o) = o**3 + 4*o**2 - 7*o - 3. Let v be g(3). Let z = y - v. What is the remainder when z is divided by 8?
7
Suppose -5*f + 390 = 3*b, 4*f = -8 + 20. Let a = -85 + b. What is the remainder when a is divided by 6?
4
Suppose -68*t + 1258 = -1802. Let o(u) = u**2 + 6*u - 2*u**2 + 1 + 0*u. What is the remainder when t is divided by o(5)?
3
Let s = 10020 - -1151. What is the remainder when s is divided by 196?
195
Suppose 177*m = 171*m + 2802. What is the remainder when m is divided by 9?
8
Suppose -198*q + 22934 + 2410 = 0. Calculate the remainder when q is divided by 56.
16
Suppose 21*a = 33*a. Suppose 17*x - 327 - 64 = a. What is the remainder when 123 is divided by x?
8
Let l(a) = -a**3 + a**2 + a. Let u(x) = -3*x**3 + 5*x**2 + 6*x + 3. Let k(d) = 5*l(d) - u(d). What is the remainder when k(-3) is divided by 19?
16
Suppose -9 = -2*s - u + 36, 0 = 5*u + 15. Suppose 2*v - 280 = 50. Calculate the remainder when v is divided by (s/(-5))/(2/(-10)).
21
Let v(r) = 5*r**2 - 3. What is the remainder when 2226 is divided by v(2)?
16
Suppose 0 = 3*s - 2*q - 20694, 2*s - 2*q = 20332 - 6532. What is the remainder when s is divided by 13?
4
Let x(q) = -8*q**2 - 203*q + 23. What is the remainder when x(-22) is divided by 600?
17
Let h(s) = -3*s + 54. Let v(m) = m**3 - 7*m**2 + 2*m + 2. Let i be v(7). What is the remainder when 21 is divided by h(i)?
3
Let i(b) = -b**3 - 21*b**2 - 20*b + 16. Let y be -3*(4 + -9 - -4). Let a = 9 - y. What is the remainder when i(-20) is divided by a?
4
Let z(h) = 34*h**3 + 6*h**2 - 13*h + 1. Calculate the remainder when z(4) is divided by 278.
275
Let g be (125/(-20) - -5)*-12. Let c(v) = -v**3 + 16*v**2 - 9*v + 6. Calculate the remainder when c(g) is divided by 34.
28
Let c(p) = p**3 + 32*p**2 + 216*p - 23. What is the remainder when 2661 is divided by c(-22)?
61
Suppose 0 = -2*u + u + 22. Suppose 5*i + 42 = 3*p, 24*p - 28 = 4*i + 23*p. Let x = i + u. What is the remainder when x is divided by 2?
0
Let n = -9151 + 9165. Calculate the remainder when 401 is divided by n.
9
Let o = 9800 - 9760. What is the remainder when 1916 is divided by o?
36
Let m(v) be the second derivative of v**4/6 + 41*v**2/2 + 40*v. Calculate the remainder when m(7) is divided by 7.
6
Let t = 33 - 21. Suppose -5*j = -t*j + 14. Suppose -2*g = -j*m + g + 15, g = 2*m - 17. What is the remainder when 51 is divided by m?
6
Calculate the remainder when 8566 is divided by (-11151)/(-945) + 22/10.
12
Let t(p) = -10*p - 187. Suppose 87 = f - 3*r, 107 = -4*f - r + 442. What is the remainder when f is divided by t(-23)?
41
Suppose -1833*p = -1830*p - 3, 2*p + 86 = 4*u. Calculate the remainder when 1913 is divided by u.
21
Let x(h) = 2*h**2 + 205*h + 3332. Suppose 0 = 3*d + 32 - 596. What is the remainder when d is divided by x(-20)?
28
Let k(v) = -2*v**3 - 2*v**3 - 2*v**2 + 6 - 10 + 7 - 2*v. Calculate the remainder when k(-3) is divided by 35.
29
Suppose y - 5*b - 106 = -14, 0 = 3*y + 5*b - 216. Calculate the remainder when y is divided by 37.
3
Suppose -39*f - 45353 = -116*f. Calculate the remainder when f is divided by 37.
34
Let w = -7257 + 7304. What is the remainder when 7142 is divided by w?
45
Let u = -15549 + 15845. Calculate the remainder when u is divided by 150.
146
Let v be (124/20 - 5)*(-10)/(-6). Suppose 3*r + 5*k = 87, v*k = -r + 4*k + 40. Calculate the remainder when r is divided by 18.
16
Let v = -2362 - -3333. What is the remainder when v is divided by 6?
5
Let a = -46 + 43. Let q(y) = -y**2 - 7*y - 8. Let o be q(a). Suppose -3*r + 4*b = -102, o*b + 105 = 5*r - 65. Calculate the remainder when r is divided by 7.
6
Let w = 61 + -36. Let i = 10 + w. Suppose 5*s + l - i = 0, -4*l + 17 = 4*s - l. Calculate the remainder when 29 is divided by s.
5
Let d(n) = -4*n - 1. Let m be d(-6). Suppose m*h - 19*h - 16 = 0. Suppose -x + 47 = h*j, 6*x = 5*j + 3*x - 63. What is the remainder when j is divided by 5?
2
What is the remainder when 168 is divided by (-57)/(-5)*(-1050)/(-315)?
16
Suppose 5*u + 14 = 6*u - 2*w, -2*w - 38 = -4*u. Suppose -u*f = -14*f + 414. Calculate the remainder when 167 is divided by f.
29
Suppose 63 = -0*p + 7*p. Suppose 0 = -4*j + 3*c - 0*c + 36, j - 3*c - p = 0. What is the remainder when 16 is divided by j?
7
Suppose 9*n - 5*n = -5*k + 103, -2*k - 5*n = -48. Suppose -k*b - 12*b + 651 = 0. What is the remainder when b is divided by 1/2*(-3 + 11)?
1
Let p = 1279 - 1919. Let s = p - -717. Calculate the remainder when 299 is divided by s.
68
Let s(y) = 2 + 12 + 3*y + 38 - 5*y. Let d(n) = -n**3 - 8*n**2 - 10*n + 1. Calculate the remainder when d(-7) is divided by s(23).
4
Let q = -844 - -1514. Suppose -9*r - q = r. Let y = -26 - r. What is the remainder when 203 is divided by y?
39
Let g(i) = 23*i**3 - 2*i**2 + 2*i. What is the remainder when 6185 is divided by g(1)?
21
Let u = 397 - 312. Let b(t) = -2*t + 2. Let w = -28 - -18. Calculate the remainder when u is divided by b(w).
19
Suppose 22*y = 50*y + 489 - 9841. What is the remainder when y is divided by 6?
4
Let t = -4235 + 4243. Suppose -39 = -x + 19. Suppose 2*v - 5*a - x = 0, 0*v = v - 5*a - 19. Calculate the remainder when v is divided by t.
7
Suppose g - 145 = -2*n, 2*g = 4*g + 6. Let a = 117 + n. What is the remainder when a is divided by 31?
5
Let s be (-10)/(-6) + 20/15. Suppose i - 2*i + s = 0. Suppose 6*g - 2*g = 4*p - 36, 2*g - 32 = -i*p. Calculate the remainder when 27 is divided by p.
7
Let y be ((-4)/((-8)/(-2)))/(3/(-519)). Let r = y - 144. What is the remainder when (-2 + 12)/((-4)/(-34)) is divided by r?
27
Let z = 11380 - 11342. Suppose -404 = -4*w + 4*r, 2*w = 5*w - 2*r - 306. Calculate the remainder when w is divided by z.
28
Let l be 105/70*2*-3. What is the remainder when 39 is divided by ((-228)/(-19))/((-12)/l)?
3
Suppose 4*z - 59*t + 54*t - 2680 = 0, 0 = -4*z - 2*t + 2736. What is the remainder when z is divided by 135?
5
Let h(m) = -m**2 + 11*m - 13. Let q be -4*4/(-8)*1. Suppose -10*k + 624 = -q*k. Calculate the remainder when k is divided by h(6).
10
What is the remainder when -2 + (1 - -23