 when v is divided by 18.
14
Let h = 4503 + -4453. Calculate the remainder when 9447 is divided by h.
47
Calculate the remainder when 216 is divided by 37/(-1776) - 30247/(-336).
36
Let x(y) = 11*y + 3. Let z(p) = -10*p - 3. Let t(c) = -4*x(c) - 3*z(c). Let h be t(-3). Suppose -d + h = 2*d. Calculate the remainder when 23 is divided by d.
10
Suppose -5*v + 10 + 0 = 0. Suppose 5*l - v*l + t = 45, 0 = -3*l + 5*t + 45. Calculate the remainder when 56 is divided by l.
11
Suppose -i + n = -582, -108*n = 3*i - 110*n - 1754. Calculate the remainder when i is divided by 50.
40
Let x = 328 + 192. Calculate the remainder when x is divided by 75.
70
Let d = -331 + 470. Let g = -3995 - -4038. What is the remainder when d is divided by g?
10
Suppose 6*o = 42*o - 2304. Suppose 0 = -73*k + o*k + 4446. Calculate the remainder when k is divided by 83.
79
Let y = 1840 + 1405. What is the remainder when y is divided by 25?
20
Let k(c) = -28*c - 11. Let j be k(-1). Let h be 0/1*(-2)/(-4). Suppose -4*s + 23 + j = h. Calculate the remainder when 87 is divided by s.
7
Suppose -2*t - 250 = -5*v, 3*v - 7*v - 4*t + 172 = 0. Suppose 4*x - 120 = -v. Suppose 38*z = 41*z - 150. What is the remainder when z is divided by x?
14
Let v(u) = -3*u**3 + 93*u**2 - u + 6. What is the remainder when v(27) is divided by 45?
42
Let t = -73 + 69. Calculate the remainder when (363/(-11))/(3*1/t) is divided by 155/9 + 8/(-36).
10
Let s(t) = 3*t + 105. Let h be s(-35). Suppose 84 = 4*n - h*n. Calculate the remainder when 39 is divided by n.
18
Let q = -3166 + 5233. Suppose q - 2142 = -3*h. Calculate the remainder when 348 is divided by h.
23
Let f(i) = 2*i**3 + 108*i**2 - 101*i + 608. What is the remainder when f(-55) is divided by 42?
29
Let q(p) = p**2 + 32*p + 134. Let n be q(-27). Suppose -k - 1 - 1 = 0. What is the remainder when 55*(0 + (n - k)) is divided by 14?
13
Let i = 27 + -13. Let q = -926 - 380. Let s = q + 1325. Calculate the remainder when s is divided by i.
5
Let h(u) = 67*u - 724. What is the remainder when 305 is divided by h(11)?
6
Calculate the remainder when -5 - -4*(50 - -5 - 2) is divided by 49.
11
Suppose -17 = -10*n + 3. Suppose -n*s + 3*v = -75 + 3, -2*s - v + 88 = 0. What is the remainder when 162 is divided by s?
36
Let m(f) = f**3 - 19*f**2 - 7. Let v be m(19). Let w = v - -31. Let z = 66 - 52. What is the remainder when w is divided by z?
10
Let w = 3 + 23. Suppose 5*r = -3*v + 3*r + 39, -w = -v - 5*r. Calculate the remainder when 43 - 11*22/121 is divided by v.
8
Let v be (-66)/6 + 13 - (1 + -3). What is the remainder when 0 + 10/15*492 + v is divided by 12?
8
Suppose -46*m + 42*m = -4352. What is the remainder when m is divided by 4?
0
Let q be 18/81 - 6/27. Suppose q = -3*m + 403 - 118. What is the remainder when m is divided by 20?
15
Let b(x) = -6*x + 87. Suppose 59 - 16 = 2*t + 5*n, 0 = -2*t - 2*n + 34. Calculate the remainder when 5 is divided by b(t).
2
Let c be 0/13*3/12. Suppose -12*v + 18*v - 126 = c. Calculate the remainder when v is divided by 3.
0
Calculate the remainder when 5438 is divided by (-2967)/(-360) + (-363)/968 - (-4)/30.
6
Calculate the remainder when (-23 - -33 - 6) + 1*826 is divided by 76.
70
Suppose 51 = 5*f - u, 4*f + 4*u = -2 + 62. Let i(c) = -4*c + 77. Calculate the remainder when 161 is divided by i(f).
29
What is the remainder when (-10 - -1) + (-12 - (-643 + 8)) is divided by 206?
202
Let c(o) = o**3 + 39*o**2 + 72*o - 64. Suppose 11 = -l + 21. Calculate the remainder when l is divided by c(-37).
0
Suppose 0 = -2*n - 5 - 1, n - 269 = 4*j. Let k = j - -117. Calculate the remainder when 240 is divided by k.
44
Let q(z) = -24*z**2 - 139*z + 7. What is the remainder when 4158 is divided by q(-3)?
206
Suppose 3*c - 5*c = -108. Suppose 51*x = c*x - 72. Calculate the remainder when -1*(-1)/(-1) + (x - -2) is divided by 9.
7
Let r = -63 + 204. Suppose -5*q = -0*q, 3*k + 5*q = r. Calculate the remainder when 180 is divided by k.
39
Suppose -6*k = -172 + 112. Let r(g) = -g**2 + 11*g. What is the remainder when 94 is divided by r(k)?
4
Let s = 88 - 16. Suppose 0 = -20*o + s + 88. What is the remainder when 31 is divided by o?
7
Suppose 5*x = 4*l - 68, 2*l = -5*x - 34 - 52. Let r(z) = -z**3 - 16*z**2 - z - 1. Let b be r(x). What is the remainder when 33 is divided by ((-85)/b)/(3/(-9))?
16
Suppose 3*w + 4*i - 229 = 0, 0 = -5*i + 29 - 9. What is the remainder when 303 is divided by w?
19
Let g be (-112347)/133 + (-4)/14. Let m = -815 - g. What is the remainder when 329 is divided by m?
29
Calculate the remainder when -4 + 15 + 716 + 15 is divided by 31.
29
Suppose w - 50 - 77 = -5*k, -46 = -2*k + 2*w. Suppose 0 = -13*i + 1372 + 240. Calculate the remainder when i is divided by k.
24
Suppose 2823*y - 5670 = 2808*y. What is the remainder when y is divided by 49?
35
Let j(k) = 37*k - 139. Let y = 211 - 123. Calculate the remainder when y is divided by j(5).
42
Let f be 12 - (-8*2/4)/(-2). Suppose 780 = 36*z - f*z. Calculate the remainder when 58 is divided by z.
28
Let w be (-1348)/(-10) + 5*5/125. Suppose 87 = 6*z - w. What is the remainder when z is divided by 11?
4
Let v(d) = 9*d**2 + d - 1. What is the remainder when -24*1/2 + (-798)/(-21) is divided by v(1)?
8
Suppose 25*y + 47*y - 1909 = 4715. Suppose -2*g = 2*g - 96. Calculate the remainder when y is divided by g.
20
Let j = 164 + -162. Suppose -4*t + 0*f + 35 = -f, 5*t + j*f - 34 = 0. What is the remainder when 597 is divided by t?
5
Calculate the remainder when 111 is divided by 6*1/(-4)*952/(-51) - -4.
15
Suppose -387*g = -384*g + 90. What is the remainder when 5*(-186)/g - 0 is divided by 8?
7
Suppose 1667 = 3*t + 4*s, 23*t - 24*t - s = -555. Suppose 48*f = t + 4871. What is the remainder when f is divided by 36?
5
Let z(o) = -o**2 - 35*o - 112. Calculate the remainder when 475 is divided by z(-5).
19
Suppose -18*h + 28 = -19*h. Let u = 64 + h. Calculate the remainder when u is divided by (18 - (-2 + 1)) + 0.
17
Suppose 2*u - 17 = -5*b, 3*b = 6*b - 5*u - 4. Suppose 2 + 1 = -f, -b*f - 48 = -3*c. What is the remainder when 34 is divided by c?
8
Calculate the remainder when 4/(-12) - (-46302)/18*1 is divided by 11.
9
Let b be (-126)/14 + -11*6. Let d = b + 89. Calculate the remainder when 515 is divided by d.
11
Suppose -5*f + 611 = 141. Let z be 1/3 + (-5)/15. Suppose 11*h - 402 + f = z. What is the remainder when h is divided by 10?
8
Let x(i) = -i**3 + 9*i**2 - 8*i + 6. Let r = -13 + 22. Let y be r + (1 - -1 - 12/4). Calculate the remainder when x(y) is divided by 5.
1
What is the remainder when 415 is divided by 14/((0 + 1)/(2356/152))?
198
Suppose 3*n + 15 = 5*o + 2*n, 2*o + 5*n = -21. Suppose 0 = -o*v - 2, c = -2*v + 4 - 1. Let m(j) = 16*j + 19. What is the remainder when m(c) is divided by 20?
19
Let g(v) be the first derivative of 6*v**4 - v**3 + 3*v**2/2 - 5*v - 37. Calculate the remainder when g(2) is divided by 46.
43
Let y be (-190)/(-4) + (-4)/(-8). Let x = -43 + y. Suppose x*g - 2*p - 11 - 18 = 0, 29 = 2*g + 5*p. What is the remainder when 11 is divided by g?
4
Let a(y) = 3*y**2 + 9*y - 18. Let s = -51 - -42. What is the remainder when a(s) is divided by 21?
18
Suppose 15*g + 6*g - 126 = 0. Suppose g*x = 8*x - 90. Calculate the remainder when 402 is divided by x.
42
Suppose -5*o - 5*f + 1960 = 0, 193*o - f = 196*o - 1166. What is the remainder when o is divided by 48?
3
Suppose 2*u + 6 = 0, -2*u - 1336 = -39*r + 34*r. What is the remainder when 323 is divided by r?
57
Let m = 759 + -172. Suppose -5*w - 17 = 4*j - 171, 0 = 3*j - 3*w - 75. What is the remainder when m is divided by j?
29
Let f = 4446 - 4337. Calculate the remainder when 417 is divided by f.
90
Suppose 0 = -4*z + 62 + 14. Suppose -4 = 5*q - z. Let f = 0 - -9. Calculate the remainder when f is divided by q.
0
Suppose 6*u = -6*u + 132. Let l = 16 - 14. Suppose t - 3 = -z + 40, -l*z + 84 = t. What is the remainder when z is divided by u?
8
Suppose 2*k - 5*f = -3*k + 1485, -3*f = 4*k - 1223. Suppose 3*m = k + 235. Suppose 10*c - 11 = m. Calculate the remainder when c is divided by 4.
3
Suppose 5*x - 32*s + 29*s - 14615 = 0, 0 = 2*x + s - 5846. Calculate the remainder when x is divided by 133.
130
Suppose 2*v - 70 = -4*p, -4*v = -p - 4 + 17. Calculate the remainder when (-11)/((-44)/370)*8/10 is divided