ppose -2*f + 3*x = -68, -3*f + 8*f + 5*x = 195. Let z = 50 - f. What is the remainder when d is divided by z?
9
Suppose -16*y - 18258 = -33*y. Suppose -324*l + 330*l - y = 0. Calculate the remainder when l is divided by 54.
17
Let m = -4230 - -4360. What is the remainder when m is divided by 20?
10
Let y be (-48)/(-10)*(-1275)/(-6). Suppose y = 11*z - 5*z. Calculate the remainder when z is divided by 86.
84
What is the remainder when 2151 is divided by 318/2226 + (-684)/(-14)?
44
Let i(n) = 31*n**2 - 522*n + 12. Calculate the remainder when 669 is divided by i(17).
87
Let u(n) = 5*n - 8. Let f be u(3). Suppose -f*b = -339 - 466. Calculate the remainder when b is divided by 31.
22
Suppose 2*o = 4*x + 336, 3*o + 4*x - 699 + 225 = 0. What is the remainder when (-477)/(-4)*216/o is divided by 49?
12
Let l = -94 - -100. What is the remainder when -2*l*15/(-12) is divided by 2?
1
Suppose -3*u - 98 = -5*a, -u = 4*a - 5*u - 72. Suppose -4*b + 32*f - 28*f + 240 = 0, -2*b = -4*f - 112. Calculate the remainder when b is divided by a.
20
Suppose 83*f - 1540 = -112*f + 41*f. What is the remainder when 94 is divided by f?
4
Let k(q) = q**3 - 160*q**2 - 660*q + 765. Calculate the remainder when 661 is divided by k(164).
7
Let l = 26953 + -26513. Calculate the remainder when l is divided by 80.
40
Suppose 14 - 8 = 2*c. Suppose 0 = -4*q + 9*q - 3*s - 1790, c*s = 3*q - 1074. Calculate the remainder when q is divided by 60.
58
Suppose 0 = 6*q - 203 + 725. What is the remainder when 113 is divided by -6 - q*(-6)/(-18)?
21
Let z = 194 - 188. What is the remainder when 125 is divided by (0 - (-96)/z) + 2?
17
Let m(l) = -l**3 - 9*l**2 - 14*l - 14. Let p be m(-9). Suppose z - p = -6*z. Suppose n - 230 = -4*n. Calculate the remainder when n is divided by z.
14
Suppose 87*g - 77*g - 680 = 0. Let l(d) = -d**2 + 6*d - 1. Let f be l(5). What is the remainder when g is divided by f/6 + (-636)/(-18)?
32
Let m(o) = 543*o + 1775. What is the remainder when m(-3) is divided by 15?
11
Let l be -11 - -16 - (-2)/(-2). Suppose -43 = -l*t - 19. Suppose 0 = 17*d - t*d - 671. What is the remainder when d is divided by 23?
15
Let m(j) = -4*j**2 + 28*j + 5. Let c be m(7). Suppose -132 = -c*q + 153. What is the remainder when 218 is divided by q?
47
Let z = -3216 + 3222. What is the remainder when 18 is divided by z?
0
Let b(j) = -39 + 21*j + 47 + 2*j + 52 - 2*j**2. Calculate the remainder when 314 is divided by b(9).
104
Suppose g = -5*u + 1247, -6139 = -5*g - 3*u + 2*u. Suppose 5*w = g + 193. Let j = -186 + w. Calculate the remainder when j is divided by 25.
23
Suppose -13*b = 503 - 1608. Calculate the remainder when 673 is divided by b.
78
Suppose -13 = -s, 2*j - 6*s - 26*s = -36*s + 70. Suppose -y = -2 - 0. Calculate the remainder when j is divided by y.
1
Suppose -5*y + 513*n - 517*n = -1862, 1098 = 3*y - 4*n. Calculate the remainder when 1221 is divided by y.
111
Suppose -5*s - 5*v + 40 = -0*v, -3*v + 6 = 0. Suppose s = b - 52. What is the remainder when b is divided by 12 - 16/(5 - 9)?
10
Calculate the remainder when 6454/7*(-3)/(-6) is divided by 34.
19
Let f be ((-1)/3)/((-832)/(-168) + -5). Let c = -4 - -6. What is the remainder when ((-1)/(f/(-2)))/((-24)/(-336)) is divided by c?
0
Let x = 53 + -50. Suppose -98 = x*o - 107. Suppose -20 = -r - o. What is the remainder when 101 is divided by r?
16
Suppose 46*x + 52 = 50*x. Suppose -16 = 8*v - 10*v. Let i = v - -17. Calculate the remainder when i is divided by x.
12
Suppose 26045 - 4027 = 32*m - 4254. What is the remainder when m is divided by 22?
7
Let n(j) be the second derivative of -17*j**3/6 + 5*j**2/2 - 2*j. What is the remainder when n(-5) is divided by (9268/(-252) + 37)/((-4)/(-558))?
28
Let j = 1848 - 777. Suppose 9*i - j = 1206. Calculate the remainder when i is divided by 64.
61
Suppose -4*h - 6728 = -4*a, h - 11814 = -3*a - 4*a. Calculate the remainder when a is divided by 80.
7
Suppose -8*z = -7*z - 5. Let p = -453 - -458. Suppose 103 = p*c - 3*h, z*c + h - 98 = -h. What is the remainder when 77 is divided by c?
17
Suppose -c = 5*t + c - 187, -t + 2*c = -35. Suppose -13 + 1 = 3*d. Calculate the remainder when t is divided by ((-208)/(-24))/(d/(-6)).
11
Let c(m) = -2*m**2 - 5*m - 4. Let f be c(-2). Let j be -3 - ((-1)/f*-2 - 6). Calculate the remainder when 18 is divided by (-3)/(j - 1)*-5.
3
Let x = 31 - 48. Let d = -23 - x. What is the remainder when 6 is divided by 6 - (-40)/30*d/4?
2
Suppose -36*d = -42*d + 30. Let s = 20 + d. What is the remainder when 48 is divided by s?
23
Suppose 292055 - 104495 = 27*k - 94185. Calculate the remainder when k is divided by 60.
55
Let x(j) = j + 2. Let b be x(0). Suppose -b*t - 54 = -8*t. Suppose 0 = -p + t + 7. What is the remainder when 29 is divided by p?
13
Suppose 3*g + 5*x = 5 - 0, -5*g + 29 = -2*x. Let t = 14 - g. Suppose 3*u - 649 = -523. What is the remainder when u is divided by t?
6
Let v = 3239 + -2980. Calculate the remainder when v is divided by 117.
25
Let u = 5909 - 5898. Calculate the remainder when 68 is divided by u.
2
Suppose 30912 = 65*x - 39288. What is the remainder when x is divided by 57?
54
Calculate the remainder when 2311 is divided by 1*(-6)/33 - (3 + (-8724)/66).
118
Suppose -5*v - 323*r + 350 = -328*r, 0 = -3*v - 5*r + 122. Suppose 820 = 2*a - 112. What is the remainder when a is divided by v?
53
Suppose 2*z + j - 83 = 21, -4 = j. Let h(c) = c + 19. Let s be h(-25). Let m = s - -13. What is the remainder when z is divided by m?
5
Suppose -2*j = 5*a - 3*j - 172, -5*j = -2*a + 78. Let y be 154/(-6) - 60/(-90). Let l(g) = -11*g - 74. What is the remainder when l(y) is divided by a?
31
Let v = -51 + 54. Suppose 0 = -4*d - v*r + 4, 4*d - 3*r - 13 = 15. Calculate the remainder when (-2)/(-3)*(-21)/(-2) is divided by d.
3
Suppose 2*a = -18, -847*a + 844*a - 2667 = -z. What is the remainder when z is divided by 879?
3
Let t(s) = 36*s**2 + 47*s + 4. What is the remainder when 386 is divided by t(-2)?
8
Let u(m) = -22 + 61*m - 31*m - 23*m + m**2. Let v be u(4). Suppose -b + 12 = -v. Calculate the remainder when b is divided by 19.
15
Suppose -70*x + 14224 = 42*x - 21280. What is the remainder when x is divided by 9?
2
Let m(t) = -2*t + 6. Let f be m(3). Suppose 3*n - 2*x = 90, -n + x + 20 + 10 = f. Let y = n - 17. What is the remainder when y is divided by 5?
3
Let u be (148/(-5))/(6*(-4)/(-120)). Let a = -111 - u. Calculate the remainder when a is divided by 13.
11
Let n be 18/1 + 2 + 0. Let h(j) = -12222*j - 37 + 12226*j + 30 - 44. What is the remainder when 57 is divided by h(n)?
28
Let w(m) = 23*m**2 + 266*m - 1541. Calculate the remainder when w(6) is divided by 81.
73
Suppose 2*v - 106 = -58. Suppose 2*u + 32 - 18 = 0. Calculate the remainder when v is divided by 1/((0 - 1)/u).
3
Let g(u) = -u**3 - 36*u**2 - 330*u - 40. Calculate the remainder when 1764 is divided by g(-18).
64
Suppose -5*r = -5*l + 278 + 2, 5*l + 10 = 0. Let i = -248 - r. Calculate the remainder when 142 is divided by ((-16)/20)/(4/i).
28
Let h(s) = -s**3 + 9*s**2 + 3. Let t be h(9). Let q(w) = -w - w**t - 11 + 19 + 5*w**2 - w**3 + 3*w**3. Calculate the remainder when 56 is divided by q(-3).
27
Suppose -480 = 3*t - 5*t. Let i = 76525 - 76514. What is the remainder when t is divided by i?
9
Suppose -2*c + 6*r + 1178 = 0, -4*c + 5*r = -9*c + 2985. What is the remainder when c is divided by 39?
10
Let m(l) = 4*l + 41 - 3*l - 21. What is the remainder when 127 is divided by m(6)?
23
Let l(k) = -k**3 - 18*k**2 - k - 3. Let f be l(-18). Suppose -19*y = -f*y - 220. Suppose 52*b = y*b - 9. Calculate the remainder when 7 is divided by b.
1
Let f = 290 - 285. Suppose 1 - 6 = -f*c, -b - 4*c = -61. Calculate the remainder when 168 is divided by b.
54
Suppose 18*i = 20*i - 58. Let j = -170 - -283. Suppose -2*y + j = -i. What is the remainder when y is divided by 24?
23
Suppose -3*r = -o - 37, -3*r - 3 = -4*r + 5*o. Let t be (-2 - -8)/2 - -72. Let p = -70 + t. What is the remainder when r is divided by p?
3
Let c = 14 + -10. Suppose c*n - 3*n + 20 = -4*q, -n = -4*q - 20. Let a = q - -21. What is the remainder when 126 is divided by a?
14
Let a = 23515 + -23495. What is the remainder when 676 is divided by a?
16
Let d be (-133452)/(-220) + 6/(-10). Let p = d + -589. Calculate the remainder wh