v. Suppose -6*c - j = 9. Let h = 10 + c. Calculate the remainder when h is divided by 3.
0
Let a = 6447 - 5513. What is the remainder when a is divided by 229?
18
Suppose -4*y - 23 = -7. Let u be y/(-2)*(-7 - -4). Calculate the remainder when 4/u - (-296)/12 is divided by 12.
0
Let d(a) = a**2 - 3*a - 13. What is the remainder when d(10) is divided by (-243)/1377 - 309/(-17)?
3
Suppose 40 = 3*r - 44. Suppose z = 22*x - 20*x + 102, 0 = -3*z - 2*x + 314. Calculate the remainder when z is divided by r.
20
Let y(h) = 30*h**2 + 2423*h - 79. Calculate the remainder when y(-81) is divided by 76.
32
Suppose 74*v = -2122 + 4564. Calculate the remainder when 1780 is divided by v.
31
Let y(f) = -983 - 3*f + 985 + 5*f + 14*f**2. Let u(s) = -s**3 - s**2 + s + 33. What is the remainder when y(2) is divided by u(0)?
29
Suppose -2*t + 996 = -2*h, 0 = 2*t - 0*t + 5*h - 1024. Suppose -63 = 24*o - 25*o. Calculate the remainder when t is divided by o.
61
Calculate the remainder when 3769 is divided by 1 + ((-22)/(-7))/(45/21 + -2).
20
Suppose 13 = 2*r + 3*m, -r + 5*m - 2*m + 2 = 0. Suppose -3*s + 41 = -3*l + r*l, 1 = -s + 3*l. What is the remainder when 42 is divided by s?
9
Suppose -4*v = -2*y + 12, -y - 3*v = -0*v - 11. Suppose 4*p + y = 2*x, -x + 4*x = -4*p + 62. Calculate the remainder when 29 is divided by x.
1
Suppose -1210 = -73*i - 26*i - 11*i. What is the remainder when 17266 is divided by i?
7
Let v(x) = -x**3 - 2*x**2 - 3*x + 6. Let l be v(-5). Let g be (-6)/(-15) + l/(-15). What is the remainder when 109 is divided by (-16)/g*(-2 - -8)?
13
Suppose -2*y = -2*r + 5*r - 776, 0 = r. Suppose 2*z + 5*w + y = 6*z, -5*w + 72 = z. Suppose -2*j = -8 - z. What is the remainder when j is divided by 13?
11
Suppose -g + 63 = -2*n, -4*g = -2*n - 166 - 86. Suppose 27*v = 6*v + g. What is the remainder when 67 is divided by v?
1
Let n = 4927 + -4718. Calculate the remainder when 633 is divided by n.
6
Suppose 162 = 15*v - 213. Suppose 5*g = -q + 25, 5*g - 20 = -5*q + v. What is the remainder when 57 is divided by q?
2
Suppose -r + 2*c = 35 - 164, 623 = 5*r + c. Suppose 6*q = -113 + 1349. Suppose f = -5*z + q, -3*f = 4*z - z - 114. What is the remainder when r is divided by z?
41
Suppose -2*w + 7*w - 240 = 0. Suppose w*n = 14*n + 306. Suppose -v + 3 = -0*v. Calculate the remainder when n is divided by v.
0
Suppose -4*x + 93 = -287. Let s(h) = 8*h**2 - 4*h + 2. Let b be s(1). What is the remainder when x is divided by 9/(-6) + 153/b?
23
Let r(y) = y**3 - 3*y**2 - 13*y - 2. Suppose -6*o - o = -42. Let x be r(o). Suppose -5*l - x = -123. What is the remainder when 73 is divided by l?
16
What is the remainder when (-5)/15 - ((-54329)/33 + -9) is divided by 8?
7
Suppose 4*r - 44 = 4*w, -25 = -r - 3*w - 2. Calculate the remainder when (-6)/(-2) + (44 - -60) is divided by r.
9
Calculate the remainder when -18*(-481)/333*(18 + 1) is divided by 126.
116
Let h(v) = 8*v - 208. Let d be (-87)/3*-2*(-4)/(-8). What is the remainder when 98 is divided by h(d)?
2
Suppose 57 = -25*z + 6*z. Calculate the remainder when 127 is divided by (7 - 3) + (28 - 1) - z.
25
Let q(j) = -4*j**2 + 25*j + 51. Let c(i) = 5*i**2 - 28*i - 51. Let a(y) = 5*c(y) + 6*q(y). What is the remainder when a(-4) is divided by 5?
2
Suppose 7*z - 3909 = 123. What is the remainder when 104 is divided by z/40 - 3/(-5)?
14
Calculate the remainder when (-231)/(-2) - -23*(-8)/368 is divided by 38.
1
Let t(m) = m**3 - 61*m**2 - 187*m - 56. Calculate the remainder when t(64) is divided by 54.
48
Suppose 5*h = -225 - 255. Let p = 251 + -220. What is the remainder when (h/20)/((-3)/75) is divided by p?
27
Let w(a) = -a**3 + 48*a**2 - 209*a - 113. Calculate the remainder when 3333 is divided by w(43).
143
Let j = 1 + 99. Suppose -6*n + 190 - j = 0. Calculate the remainder when 96 is divided by n.
6
Let n(f) = f**2 - 1. Let z(c) = -5*c**2 + 7*c - 5. Let i(j) = -4*n(j) - z(j). What is the remainder when (5*6/15)/((-4)/(-34)) is divided by i(6)?
2
Let f(m) = -6*m + 10. Let u be f(-8). Suppose 7*t + u = 5*t. Let y = -17 - t. Calculate the remainder when 28 is divided by y.
4
Suppose 5*u = -3*m + 27, -u - 93 = -3*m - 30. What is the remainder when 263 is divided by m?
16
Let u(d) = -3*d**2 - 4 + d**3 - 4*d - d + 5*d**2. Let b be u(-3). Suppose -b*s = -9 - 57. What is the remainder when 129 is divided by s?
30
Suppose -15*g + 1320 = 5*g. Suppose -520 = -g*j + 61*j. Calculate the remainder when j is divided by 22.
16
Let k be (-4)/(-3)*2/8*9. Suppose 0*b - 12 = -k*b + c, b = -2*c + 4. What is the remainder when 63 is divided by 34/2*(b - (-5 + 8))?
12
Let v(k) = -6*k**2 - 4*k + 3. Let r be v(-4). Let i = 232 + -105. Let q = i + r. What is the remainder when q is divided by 26?
24
Suppose 4*z - 5*v + 22 = 0, 3*z + 2*z + 23 = 4*v. What is the remainder when 74 is divided by -6 - -4*(-12)/z?
4
Suppose -9*j = -27, -11*j + 1134 = 3*f - 10*j. Calculate the remainder when f is divided by 100.
77
Suppose 5*g - 291 = -5*n - 11, -3*n = -3*g - 150. Let f(j) = -2914*j + 2840*j - j**3 - 11 + 17*j**2 + 6*j**2. What is the remainder when n is divided by f(19)?
26
Suppose 10*d - 300 - 932 = -d. What is the remainder when 999 is divided by d?
103
Suppose 2*t - 26 = -n, 5*n - 4*t = -3*t + 108. Suppose 0 = 26*b + 23*b - 245. Calculate the remainder when n is divided by b.
2
Let i = 43 + -47. Let t(b) = -15*b + 17. Suppose 0 = -4*x + 130 - 26. Calculate the remainder when t(i) is divided by x.
25
Let c(q) = 71*q + 2327. What is the remainder when c(-30) is divided by 101?
96
Suppose 311*t = -f + 307*t + 303, -4*t = -2*f + 582. What is the remainder when f is divided by 22?
9
Let m = 577 - 437. Suppose 2*a - m = -w - 2*a, -522 = -4*w + 3*a. Calculate the remainder when w is divided by 41.
9
Suppose -16*r + 58*r = 5796. Let l = -14 - -16. Calculate the remainder when r is divided by (-1)/(-1)*l + 8.
8
Calculate the remainder when 127 + -22 - (95/12 - 24/(-288)) is divided by 3/(1/(-13)*-1).
19
Suppose 0 = -0*c - 2*c + 4*d + 2, -3 = -3*d. Let x be (210/18)/(c/(-9)). Let f = x + 133. Calculate the remainder when f is divided by 25.
23
Suppose -3*i + 28 = -35. Let t(u) = 45*u + 6*u**3 - 5*u**3 - 2*u**3 + 7*u**2 - 16 - 41*u. Calculate the remainder when i is divided by t(7).
9
Suppose -4*b + 36 = -16. Suppose 2*u - 2*v - b = 23, -3*u + v + 58 = 0. What is the remainder when 158 is divided by u?
18
Let v = -539 - -546. Let n(f) = f**2 - 9*f + 42. What is the remainder when n(v) is divided by 8?
4
Let d be (1 - 1)/(4 + -5). Suppose d*u - 5*u + 40 = 0. Suppose 0 = 2*m - 54 + 14. Calculate the remainder when m is divided by u.
4
Calculate the remainder when 81 is divided by (88/10)/((-4)/(-10)).
15
Suppose -2*l = -54 - 182. What is the remainder when l is divided by ((-135)/(-36) - 4)/(-6*1/888)?
7
Suppose -5*o + 13 = c - 1, 5*c = -2*o + 24. Suppose l - 2*y = 178, -20*l + 15*l - o*y = -914. What is the remainder when l is divided by 63?
56
Let j = -46358 - -46681. What is the remainder when 5810 is divided by j?
319
Let f(g) = -5*g**2 + 24*g + 19. Let o(c) = c**2 - 5*c - 4. Let p(b) = -2*f(b) - 11*o(b). Calculate the remainder when (-1 + -5)*(-52)/6 is divided by p(7).
4
Suppose 9*r - 266 + 680 = 0. Let h = r - -167. What is the remainder when h is divided by 42?
37
Suppose -c + 2*p = -67, 4*p + 60 = 3*c - 145. Suppose -3*q + 28 = -4*t, q = -t + 6*t + 24. Calculate the remainder when c is divided by -1 + 23 - q/(-2).
23
Let x(j) = j**2 + 49*j + 650. Calculate the remainder when 100 is divided by x(-21).
38
Suppose -62 = -y + 5*b, -5*y - 3*b = -55 - 115. What is the remainder when 500 is divided by y?
19
Let d = -12399 - -13341. Calculate the remainder when d is divided by 63.
60
Let o(c) = 15*c - 55. Let g be o(23). Suppose 0 = d + 2, -4*z - 5*d + g = -z. Calculate the remainder when z is divided by 52.
48
Let d(n) = 3*n**2 + 33*n + 72. What is the remainder when 309 is divided by d(-13)?
9
Suppose 31*o - 163*o + 23496 = 0. What is the remainder when o is divided by 58?
4
Suppose 117*q - 3152 = 109*q. Suppose 62 - q = -3*i + 4*l, i - 114 = 2*l. Suppose 0 = -3*k - 0*k + 105. Calculate the remainder when i is divided by k.
34
Suppose -217*x = 433*x + 134039 - 574739. What is the remainder when x is divided by 76?
70
Let o be (2/(-4))/(-5*(-7)/70). Let h(i) = 