4*u + 4*x = -64. Calculate the remainder when 655 is divided by u.
9
Let u = 73 + -67. Suppose 32 = 2*t + u. Calculate the remainder when t is divided by 8.
5
Let d be ((-12)/15)/(4/(-50)). Let v(s) = s**2 - 11*s + 29. What is the remainder when v(d) is divided by 6?
1
Let d(j) = j - 1. Let k(g) = -2*g - 5. Let b(a) = 12*d(a) + 4*k(a). Let z(v) = v**2 - 7*v + 10. Let q be z(7). What is the remainder when 31 is divided by b(q)?
7
Suppose 0 = -x - 9*x. Suppose x = -3*j + 5*h + 331, 2*j + 3*h - 154 - 73 = 0. Suppose 0*s + j = 4*s. What is the remainder when s is divided by 15?
13
Let f = 756 + -1197. Calculate the remainder when (-1 - f) + (-14 - (12 - 27)) is divided by 26.
25
Suppose 0 = u + 4 - 19. Let w(k) = -177*k + 2155. What is the remainder when w(12) is divided by u?
1
Let h = -232 - -238. Let f(a) = -2*a**3 + 16*a**2 - 11*a - 4. What is the remainder when f(h) is divided by 15?
14
Suppose -113*y + 105*y + 64 = 0. What is the remainder when 153 is divided by (-3)/(y - 2 - (-55)/(-9))?
18
Let t(k) = -k**3 - 21*k**2 - 31*k - 162. Suppose 2*r - 6 = 0, 8*i + 858 = 11*i - r. Calculate the remainder when i is divided by t(-20).
55
Suppose 8*k - 37 = -21. Suppose -k*c = -3*u + 11 + 82, -5*u + 2*c + 155 = 0. What is the remainder when 276 is divided by u?
28
Let m(y) = 7*y**3 + y**2 + y - 1. Let j be m(1). Let p(v) = 4*v + 13. Let s be p(j). Suppose 49*k - 176 = s*k. What is the remainder when k is divided by 8?
4
Calculate the remainder when 195 is divided by (10 - 11)*(-219)/3 + 3 + -1.
45
Let q(h) = -h**3 + 5*h**2 - 14*h + 32. Suppose 4*x + 6 = 26. Suppose -x*m + 8*v + 115 = 3*v, 4*v - 48 = -3*m. Calculate the remainder when m is divided by q(3).
4
Let v = 234 + -246. Calculate the remainder when -2 - 90/v*2 is divided by 18/((-2)/(-1)) + -2.
6
Let t(z) = -83*z - 451. Let s be t(-8). Let d = s - 185. What is the remainder when 89 is divided by d?
5
Suppose -84 = 4*l + 36. Let f(t) = 4*t**2 + 9*t + 1. Let h be f(-6). Let y = h + l. What is the remainder when y is divided by 21?
19
Let b(h) = 3*h + 26. Let k be b(11). Suppose 24*w - 179 = -k. What is the remainder when w is divided by 5?
0
Let v = -43 - -46. Suppose -v*m - 4 = -5*m. Suppose 4*n + 78 = m*s, -3*s = -n + 5 - 127. What is the remainder when s is divided by 11?
8
Let o(q) = -q**2 + 27*q - 79. What is the remainder when 1425 is divided by o(4)?
8
Suppose 142587 = 25*r - 22174 - 17339. Calculate the remainder when r is divided by 31.
30
Suppose 0 = -4*t - 4*f + 9296, 296*f - 294*f = -t + 2322. What is the remainder when t is divided by 85?
31
What is the remainder when 34/(-6) + 4 + 47975/75 is divided by 79?
6
Let q = 237 + -191. Calculate the remainder when 72 is divided by (7 + q/(-6))*-39.
20
Suppose 0*s = -2*d + 4*s + 24, 2*s + 72 = 7*d. What is the remainder when 1578 is divided by d?
8
Suppose 2*v + 4*n - 3332 = 0, 22*v - 20*v + 5*n - 3335 = 0. Calculate the remainder when v is divided by 13.
9
Suppose 5*l - 3*h + 2*h = 276, 4*l + 2*h = 232. Suppose -2*o + l + 120 = 3*m, -2*m + 2*o = -104. Calculate the remainder when m is divided by 44.
12
Let u be ((-65)/52)/((-1)/4). What is the remainder when 43 is divided by 15/u - 10 - -16?
7
Let d be 2/(-9) - (-8)/36. Suppose d = -m + 20 + 10. Let j(n) = -n**2 + 117*n + 2602. Calculate the remainder when m is divided by j(-19).
12
Let u(q) = -26*q**3 - 5*q - 7. Let d be u(-2). Suppose 2*i - 439 = -d. Calculate the remainder when i is divided by 29.
27
Suppose -20*s + 5621 = -2459. Let z = -11 + s. What is the remainder when z is divided by 36?
33
Suppose -5*s - 3*o = -15, -4*s - 2*o + 15 = s. Suppose -s*c + 313 = 3*v - 101, 0 = 5*c. Calculate the remainder when v is divided by 14.
12
Let x = 58 - 17. Let p be x/205 - (-298)/20*2. Let q = p - -18. What is the remainder when q is divided by 13?
9
Suppose 0 = -196*j + 32097 + 32779. What is the remainder when j is divided by 24?
19
Let q(p) = p + 6. Let k be q(-3). Let j be 6/(-18) + (-5)/k. What is the remainder when (-2334)/(-54) + -1*j/(-9) is divided by 11?
10
Let w(n) = 2*n**2 + 38*n + 496. Calculate the remainder when w(-38) is divided by 9.
5
Suppose -3*y + 5*s = -2*y - 85, 2*y = -3*s + 105. Suppose -f - y = -c - c, 0 = -c + 3*f + 30. Calculate the remainder when 97 is divided by c.
7
Let u(g) = -2*g**3 + 266*g**2 - 5*g + 842. What is the remainder when u(133) is divided by 101?
76
Let s = -2044 - -3541. What is the remainder when s is divided by 52?
41
Let o(u) = 301*u - 16799. Suppose -d - 3*d + 428 = 0. Calculate the remainder when d is divided by o(56).
50
Suppose -25798*n + 1085 = -25763*n. Calculate the remainder when 564 is divided by n.
6
Suppose 7*p = 2*p - 10. Let k be p/((-2)/(-1))*-75. Suppose 10*w - k = 205. What is the remainder when 165 is divided by w?
25
Let d(t) = -184*t - 3254. What is the remainder when 1795 is divided by d(-18)?
55
Suppose -8*r + 10*r - 106 = 0. Suppose -r*t + 56*t = 441. Suppose -5*w + 125 = -0*w - 5*l, -3*l = -w + 15. Calculate the remainder when t is divided by w.
27
Let k = 5532 - 5468. Calculate the remainder when 20351 is divided by k.
63
Suppose 2*u + 0*w = w + 14, 0 = -5*w - 20. Suppose 3*r - 67 = 2*x, x - u*x = r - 41. What is the remainder when 24*4*1 + 0 is divided by r?
21
Let y be (27/(-2))/((-27)/180). Let n = y - 31. Calculate the remainder when n is divided by 12.
11
Suppose 0 = -11*w + 8*w. Let h be 1 - 1 - (-271 - w). Suppose -3*b + h = 5*k + 59, 5*k - 204 = -b. Calculate the remainder when k is divided by 22.
18
Let v = 1232 - 1106. What is the remainder when 880 is divided by v?
124
Suppose -o = 4*q - 3*q - 3069, -6*o + 18414 = -3*q. What is the remainder when o is divided by 32?
29
Let g = 4 - 6. Let c = 15 + g. What is the remainder when c is divided by (1 + -8 - 66/(-11))*5 + 10?
3
Let k = 100 - -52. Calculate the remainder when k is divided by 3.
2
Suppose -4*l = -14*g + 9*g - 3522, 5*l - 4417 = -g. What is the remainder when l is divided by 223?
214
Let h(g) = g**3 + 19*g**2 - 112*g + 455. Calculate the remainder when 553 is divided by h(-24).
27
What is the remainder when (1 + 35/(-25))/((-2)/14510) is divided by 83?
80
Suppose -7*a = -9*a, k + 5*a = 501. Calculate the remainder when k is divided by 37.
20
Suppose f + 115 - 3 = k, -2*k + 5*f = -209. Let x = -78 - -95. Calculate the remainder when k is divided by x.
15
Let a = -104 - -152. Suppose 0 = 95*r - 56 - 219 - 770. Calculate the remainder when a is divided by r.
4
Suppose -21541 - 356597 = -73*m + 66870. Calculate the remainder when m is divided by 91.
90
Let t = -295 + 328. Suppose q = 2*q - 130. Calculate the remainder when q is divided by t.
31
Let n = 3208 - 3038. What is the remainder when n is divided by 90?
80
Suppose 2*n - 5*n = -87. Let u(z) = 2*z**3 - 14*z**2 + 4*z - 13. Let o be u(7). Suppose o*d + 38 = 293. Calculate the remainder when n is divided by d.
12
Suppose 745 = 8*w + 5*k, -w + 85 = 19*k - 20*k. Calculate the remainder when 436 is divided by w.
76
What is the remainder when 153 is divided by (9/(-2) - 124/(-31))/(2/(-108))?
18
Suppose -2 = -0*h - h. Suppose -h*d - 437 = 3*d + 2*u, -3*d - 5*u = 247. Let j = d + 92. What is the remainder when 7 is divided by j?
1
Suppose 0 = 16*i - 18*i + 104. Suppose -8*n + i = -44. What is the remainder when 199 is divided by n?
7
Suppose -4*h + 5*m = -432, -2*h + 324 = h - 5*m. Suppose -317 = -5*d + 855*q - 852*q, 2*q - 27 = -d. Calculate the remainder when h is divided by d.
53
Suppose 0 = 11*j - 2746 - 1720. Calculate the remainder when 707 is divided by j.
301
Let n(f) = f**3 + 12*f**2 - 18*f - 62. Let x be n(-13). Suppose -x*o - 17 = -5*o - l, 4*o - 2*l - 30 = 0. Calculate the remainder when 14 is divided by o.
6
Suppose 2405 = -105*g + 170*g. What is the remainder when 13019 is divided by g?
32
What is the remainder when (2 - (-546)/3) + (-4 - 4) is divided by 29?
2
Suppose 3*x - 591 = 5*k, -5*k = 32*x - 36*x + 793. Calculate the remainder when 706 is divided by x.
100
Let c(q) = 7*q**2 + 2. Let v = -41994 - -42051. Calculate the remainder when v is divided by c(-2).
27
Suppose g + 3*z + z = -14, 0 = -4*g + 2*z + 34. Calculate the remainder when (-310)/g*144/(-80) is divided by 29.
6
Let l(r) = 44*r - 19. Let d be l(11). Suppose 0 = 4*y - d - 71. Suppose 2*v + 2*v - 60 = 0. What is the remainder wh