9 = -y - 2*c. Let j = -17 - -40. What is the remainder when y is divided by j?
22
Suppose -4*z - 293 = -x, z + 376 = -2*x + 890. Calculate the remainder when x is divided by 15.
6
Let d(q) = 2*q**2 + 31*q + 6. Let y be d(6). Suppose -11*f - y = -17*f. Calculate the remainder when 218 is divided by f.
42
Suppose 3*h = 3*w - 13 - 5, 21 = w + 2*h. Let i = w - -22. What is the remainder when 126 is divided by i?
27
Suppose -9*o - 611 = 16*o - 26*o. What is the remainder when o is divided by 90?
71
Let d = 123 + -118. Suppose 2*b = -0*b - 8, f + d*b - 125 = 0. Calculate the remainder when f is divided by 15.
10
Suppose -4*y + 61 = 5*v, y - v - 3*v = -11. Let m be (3 + 96/y)/((-3)/(-18)). Suppose -m - 8 = -9*a. Calculate the remainder when 48 is divided by a.
8
Suppose 4267 + 14798 = 3*d. Calculate the remainder when d is divided by 22.
19
Let s = -541 + 784. Suppose q - s = -8*q. Suppose 3*h - 237 = -y - 2*y, -5*h = y - 383. What is the remainder when h is divided by q?
22
Let v(r) = -3*r - 40. Suppose 5*f + 54 = -5*g + 149, g + 2*f - 21 = 0. Calculate the remainder when g is divided by v(-17).
6
Let f(v) = 2*v**2 - 7*v - 123. What is the remainder when 9433 is divided by f(10)?
4
Suppose 9*f + 0*f = 2*h + 1495, -3*f = 5*h - 470. What is the remainder when 218 is divided by f?
53
Let d(t) = -5*t**3 + t**2 + 17*t - 4. Calculate the remainder when 1834 is divided by d(-4).
250
Let d(s) = -7*s**2 - 8*s - 55. Let x(p) = 9*p**2 + 9*p + 56. Let k(i) = 5*d(i) + 4*x(i). What is the remainder when 129 is divided by k(-7)?
25
Let j(p) = -9*p - 4. Let a = -1207 - -1242. Suppose 96 = a*v - 19*v. What is the remainder when j(-5) is divided by v?
5
Let f = 165 - 159. Let m(p) = -56*p + 345. What is the remainder when 295 is divided by m(f)?
7
Let n(a) = 3 + 15 + 31*a + 17. Suppose -5*d - 55 = -3*r, -4*r = r + 5*d - 25. What is the remainder when r is divided by n(-1)?
2
Suppose 7*g - 10*g - 5*g = 0. Suppose g = 44*y - 151 - 289. Calculate the remainder when 23 is divided by y.
3
Suppose -3*u + 453 = -3*p - 189, -2*u + 420 = -4*p. Suppose -u = -7*o + 55. Calculate the remainder when 152 is divided by o.
35
Suppose -l - 4*l - 4*h = -24, 2*l + 5*h + 4 = 0. Let q = 2 + l. Suppose q*u = 6*u + 52. Calculate the remainder when 18 is divided by u.
5
Let z be 3/(-7) + (6 - (-234)/(-42)). Suppose z = 41*b - 52*b + 220. What is the remainder when 57 is divided by b?
17
Suppose k + 291 = 19*k - 1023. What is the remainder when 87 is divided by k?
14
Let k = -340 + 348. Let v(q) = -q**2 - 15*q - 11. Let y be v(-10). Suppose 101 = 10*m - y. What is the remainder when m is divided by k?
6
Let p = 22 - -8. Suppose 2*c + c = -p. What is the remainder when 69 is divided by (-35)/c*(1 - -9)?
34
Suppose 2*h + 15*x - 10*x = 495, 1002 = 4*h - 2*x. What is the remainder when h is divided by 36?
34
Let x be 6*(-2)/4*-19. Suppose -919 = -o - 799. Let g = x + o. What is the remainder when g is divided by 45?
42
Let b be (21/6)/((-7)/(-14)). Suppose 1256 = b*p - 3*p. Calculate the remainder when p/(-8)*(-11 + 7) is divided by 40.
37
Suppose 20 = f + 2*y, 4*y + 60 = -30*f + 33*f. What is the remainder when 10359 is divided by f?
19
Let t(m) = m**2 - 13*m + 23. Let q = 4022 - 4006. What is the remainder when t(22) is divided by q?
13
Let i = 8 - 8. Suppose -11*k + 6*k + 275 = i. What is the remainder when k/((3/9)/(4/4)) is divided by 28?
25
Let c(p) = 138*p - 493. What is the remainder when 142 is divided by c(4)?
24
Let n be (-1)/(-2)*336/24. Calculate the remainder when 5/2*12/10 is divided by 5/n - (-34)/119.
0
What is the remainder when 78 is divided by 6/9*2*1/(10/15)?
0
Let d(t) = -5*t**3 - 7*t**2 - 94*t + 57. Let b(r) = -r**3 - 2*r**2 - 23*r + 14. Let l(i) = -9*b(i) + 2*d(i). Calculate the remainder when l(5) is divided by 25.
8
Suppose 498 = 7*w - 146. Let k = -80 + w. Calculate the remainder when 19 is divided by ((-1)/(-3))/(k/108).
1
Let d = -283 - -298. Let m(v) = 5 - 4*v - v - 9*v**2 + 10*v**2. What is the remainder when m(10) is divided by d?
10
Let m(j) = j**3 + 27*j**2 - 28*j + 2. Let z be m(-28). Suppose -5*f + 259 = z*o, 3*f = -4*o + 2*o + 153. What is the remainder when f is divided by 8?
5
Let b(i) = i**3 + 7*i**2 + 38*i - 54. Let y(g) = -3*g**2 - 19*g + 26. Let u(t) = 2*b(t) + 5*y(t). What is the remainder when 111 is divided by u(4)?
53
Suppose 1 = -15*a + 31. Suppose -a*p = -2*w + 174, -60*p + 62*p + 450 = 5*w. Calculate the remainder when w is divided by 5.
2
Let q be (-10725)/66 - ((-6)/(-4) - 2). Let f = 262 + q. Calculate the remainder when f is divided by 37.
26
Let m(f) = f**3 + 16*f**2 + 14*f + 34. Suppose 2*o = -d + 6*o - 15, 0 = 5*o. Calculate the remainder when m(-15) is divided by 15*(d/(-9) - 1).
9
Let i = 53 + 17. Suppose 2121341 - 2116151 = 173*n. Calculate the remainder when i is divided by n.
10
Let w be (-1 + 2)*-2 - (-6 - -2). Suppose 4*j - 109 = 3*j + w*g, -g = 5*j - 545. Let p = -100 + j. What is the remainder when 17 is divided by p?
8
Let q(k) = 5*k + 7*k - 6*k - 157. What is the remainder when 85 is divided by q(30)?
16
What is the remainder when 242 + 2 - (-218 + 204) is divided by 65?
63
Suppose -147*m + 139*m = -144. Suppose -m*y - 2700 = -48*y. Calculate the remainder when y is divided by 60.
30
Suppose -32478 = -110*i + 3*i + 26693. What is the remainder when i is divided by 135?
13
Let w(l) = 4*l**2 - 7*l - 7. Suppose k + a = 0, -4*k + 2*a - 15 = -3*k. Calculate the remainder when w(k) is divided by 48.
32
Let k = -38 - -45. Let b(f) = -5*f**3 - 5*f**2 - 7*f - 6. Let u be b(-2). Suppose -k + u = 7*s. Calculate the remainder when 16 is divided by s.
1
Suppose 22 = 12*a + 58. Calculate the remainder when 38 is divided by (60/(-9))/(a - 14/(-6)).
8
Let l = 1977 + -1954. Calculate the remainder when 268 is divided by l.
15
Let z = 3211 + -3099. Calculate the remainder when z is divided by 33.
13
Suppose 4*s = 2*n - 82, -3*n = -8*n + 4*s + 181. Let k = 35 - n. Suppose -5*u = -k*p + 56, 5*p - 183 + 16 = -u. Calculate the remainder when p is divided by 9.
6
Let d = 110 + 75. Suppose -4*f + d = x, 5*x - 113 - 92 = -4*f. Calculate the remainder when f is divided by 6/((-14)/(-32)*30/35).
13
Suppose 0 = -350*t + 348*t + 10. Calculate the remainder when ((-18)/36)/((-2)/68) is divided by t.
2
Let s(t) = -t**2 - 13*t - 17. Let u be s(-10). Suppose b - 10 = u. What is the remainder when 44 is divided by b?
21
Let t = 37 - 17. Suppose 2*y - t = -5*i - 0*y, -8 = -2*i - 5*y. Calculate the remainder when (-2)/(-3)*(8 - -1) is divided by i.
2
Let r(p) = -38*p + 237. Suppose 432 - 105 = z. What is the remainder when z is divided by r(5)?
45
Let x(q) = q + 6. Suppose -5*w = -2*t + 35, 3*t + 0*w = -4*w + 64. What is the remainder when t is divided by x(5)?
9
Let y = -12702 + 12752. What is the remainder when 8996 is divided by y?
46
Suppose 0 = -5*p + 3*p + 7*p - 4265. Calculate the remainder when p is divided by 119.
20
Let v = -15197 + 15240. Suppose -2*r = -5 - 7. What is the remainder when v is divided by r?
1
Let g(y) = y + 21. Let d be g(0). Let j(b) = b**2 - 42*b + 136. Calculate the remainder when j(40) is divided by (-7)/(d/(-12))*5.
16
Let a = 16393 - 16302. What is the remainder when 1460 is divided by a?
4
Suppose 0 = 2*g + 98 + 34. Let t be 352/g*((-5)/2 - -1). Suppose t*i - 161 = i. What is the remainder when 113 is divided by i?
21
Let u = 1919 + -1212. Calculate the remainder when 30 is divided by u/77 - 8/44.
3
Let c be (150/(-7))/(-5)*7. Let h = -16 + c. Calculate the remainder when (-9)/3 + (0 - -53) is divided by h.
8
Suppose 2*s + 21 = 3*w - 14, 49 = 5*w - s. Suppose -92 = w*h - 299. Let g = 2 - -3. Calculate the remainder when h is divided by g.
3
What is the remainder when ((-10)/6*(-44)/220)/((-3)/(-3834)) is divided by 117?
75
Suppose -3*a - 2*v = 3*v - 27604, -v + 36828 = 4*a. What is the remainder when a is divided by 151?
148
Let c(l) = -l**3 - 5*l**2 - 10*l - 2. Let j be c(-4). Let x be -6*((-100)/(-55) + 4/j). Let t = x + 34. What is the remainder when 61 is divided by t?
17
Suppose -422*w + 600740 + 452563 = -99*w. What is the remainder when w is divided by 3250?
11
What is the remainder when (-10)/(-8) + (-8253)/(-12) is divided by 69?
68
Let m(b) = -2*b + 81. Let w(h) = -4*h - 1. Let s(q) = m(q) - 3*w(q). Calculate the re