 by p.
0
Let j be (-73)/15 - 6/45. Calculate the remainder when j/(-20) + (-1414)/(-8) is divided by 45.
42
Suppose 4*u - 60 = -36. Let t be -30*((-476)/(-6))/7. Calculate the remainder when (-2 - (-8)/6) + t/(-15) is divided by u.
4
What is the remainder when (-2)/(6 + (-6960)/1155) is divided by 10?
7
Let t = -1 - -5. Suppose -w = 3*d - 3*w - 47, -4*d = t*w - 36. What is the remainder when d is divided by 7?
6
Let v(y) = 90*y + 2134. What is the remainder when 2320 is divided by v(-20)?
316
Let q = -3777 + 3822. Let u(l) = 11*l**2 + 10. What is the remainder when u(-4) is divided by q?
6
Let r be (-6)/4 - 63/(-14). Suppose -r*u = 10*u - 260. What is the remainder when 39 is divided by u?
19
Let n(s) = 529*s - 1488. Calculate the remainder when 8908 is divided by n(3).
97
Suppose 0*i - 4*i + 18 = -2*a, 0 = 5*i - 20. Let y(u) = -u**2 + u + 2. Let p be y(a). Calculate the remainder when 91 is divided by 2/(10/95) - p.
15
Let l(a) be the third derivative of a**6/120 - 2*a**5/15 - 19*a**4/4 - 29*a**3/6 - 106*a**2 + 1. What is the remainder when l(16) is divided by 68?
59
Suppose 8 = -4*s + 44. Suppose 0 = k - s - 2. Suppose -2*w - 5*f = -57, -w + 0*f = -4*f - 9. What is the remainder when w is divided by k?
10
Let s be (-6)/27*-6*(-4 + 7). Suppose -5*n + 6*l = s*l - 515, 4*l = 4*n - 424. Suppose -3 + n = 7*u. Calculate the remainder when 166 is divided by u.
12
Let c(v) = 147*v - 1651. What is the remainder when 133 is divided by c(12)?
20
Let q = 8423 + -5476. Calculate the remainder when q is divided by 981.
4
Let w = 893 - 856. Calculate the remainder when 145 is divided by 5/((-5)/(-6)) - (w + -76).
10
Suppose -5*t + 0*t = -4*t. Suppose -4*w + 0*w + 8 = t, 0 = 3*x + 3*w - 177. Calculate the remainder when 128 is divided by x.
14
Let y be ((-188)/2)/(3*(-2)/18). Let k = y - 204. What is the remainder when k is divided by 29?
20
Suppose 2*o - 1019 = -4*y - 67, -1931 = -4*o + y. Let c = o + -462. What is the remainder when c is divided by 9?
2
Let m = 1640 + -1372. Calculate the remainder when m is divided by 27.
25
Suppose -180 + 684 = -42*y. What is the remainder when y/(-8)*1*(-824)/(-12) is divided by (-2 + 0)*(-70)/4?
33
Suppose -1739 = -3*p + 5*d, -d + 4 = d. What is the remainder when p is divided by 76?
51
Suppose 87*h - 16667 - 64330 = 0. What is the remainder when h is divided by 67?
60
Let w(t) = 33*t**2 - 36*t - 7. Calculate the remainder when w(-6) is divided by 10.
7
Let r be (4/(-10))/((-18)/30240). Suppose 36*z - 29*z - r = 0. Calculate the remainder when z is divided by 54.
42
Suppose 4*k - 78 - 11 = 5*o, -2*o - 4*k - 30 = 0. Let t(q) = -q**2 - 22*q + 60. Calculate the remainder when t(o) is divided by 69.
7
What is the remainder when 72 is divided by (-23 + (-1072)/(-48))*-21?
2
Suppose -29 = 3*r - 8*b - 132, -2*r = -2*b - 52. Suppose -4 = -3*f + 14. What is the remainder when r is divided by f?
3
Let x(o) = -53*o**2 - 6*o + 6. Let s be x(2). Let c = -139 - s. Calculate the remainder when c is divided by 9.
7
What is the remainder when 985 is divided by 8148/126*((3 - 1) + 1)?
15
What is the remainder when 24667 is divided by 15/(330/104) - 9/(-33)?
2
Calculate the remainder when 3394 is divided by (-1462)/(-172) - (-1)/(-2).
2
Suppose -4*z - 212 + 1152 = 0. Suppose 231 = 5*w + 4*y, 28 - 12 = 4*y. Calculate the remainder when z is divided by w.
20
Suppose 591 = 3*b + 4*t, -248 = -3*b + 5*t + 316. Let f = 82297 - 82246. Calculate the remainder when b is divided by f.
40
Let d(w) = -63*w + 121*w - 61*w + 106. What is the remainder when d(10) is divided by 11?
10
Let d(c) = -69*c - 199. Suppose -2*s = -4*s - 6. What is the remainder when ((-13)/s)/((-3)/(-9)) is divided by d(-3)?
5
Suppose -167187 = -329*r - 18150. Calculate the remainder when r is divided by 48.
21
Let c(o) = -3*o**3 - 4*o**2 + 13*o - 10. Let l be c(-5). Suppose -30 = -10*g + l. Calculate the remainder when g is divided by 10.
3
Let f(v) = 11*v**2 + 5*v - 4. Suppose 279 - 107 = 43*m. Suppose -5*p = -r - 114, 5*r = m*p + 47 - 155. Calculate the remainder when f(-4) is divided by p.
20
Suppose -4*s + 303 = -5. Suppose -145 = -6*m + s. Calculate the remainder when 147 is divided by m.
36
Suppose -1807*l + 145 = -1774*l - 548. Calculate the remainder when 297 is divided by l.
3
Let f = 38193 + -38168. Let k(l) = l**2 - 5*l - 1. Calculate the remainder when f is divided by k(6).
0
Suppose -b + 125 = 3*u, 192 = b - 5*u + 27. Calculate the remainder when b is divided by 38.
26
Let v = -3732 - -3809. What is the remainder when 103 is divided by v?
26
Let m = -340 + 133. Let d = m - -248. Calculate the remainder when d is divided by 22.
19
Let b = -21937 + 22560. Calculate the remainder when 2509 is divided by b.
17
Let n(b) = -b**2 - 29*b + 2. Let m be n(-29). Suppose 3*q = 5*o + 173 + 2, m*q - 28 = o. Let t = o - -46. Calculate the remainder when 23 is divided by t.
7
Suppose 9*i - 16*i = 53*i - 7260. Suppose -6*u = -u - 265. Calculate the remainder when i is divided by u.
15
Let v = -250 - -129. Let g = v + 131. Calculate the remainder when 32 is divided by g.
2
Let v(k) = -6*k**2 - 6*k - 42. Let s be v(-4). Let h = s + 149. What is the remainder when 165 is divided by h?
25
Suppose 83*m = 27*m + 14336. Calculate the remainder when m is divided by 4.
0
Suppose -558 = -37*u - 48 + 8. What is the remainder when 1063 is divided by u?
13
Let k = -4 + 8. Suppose -208*y + 204*y - 3*j = -176, 0 = -5*y + 2*j + 220. Calculate the remainder when y is divided by k.
0
Suppose 0 = 6*x + 76 + 452. Let m = x + 213. Calculate the remainder when m is divided by 33.
26
Suppose 103*c - 43*c - 77220 = 0. Calculate the remainder when c is divided by 1281.
6
Let s(w) = -w**2 + 4*w + 1. Suppose -294 = 2*b - 2*n, -30*n + 32*n - 442 = 3*b. Let i = 150 + b. Calculate the remainder when s(3) is divided by i.
0
What is the remainder when (-42)/5*(-18 + (-592)/6) is divided by 33?
23
Let f = 4079 - 4064. Calculate the remainder when 523 is divided by f.
13
Suppose -2*i = 4*g - 13460, 2*i + 11160 + 5656 = 5*g. Calculate the remainder when g is divided by 334.
24
Let z = 265 + -187. Calculate the remainder when (-12)/z + (-3202)/(-26) is divided by 4/(3 + 50/(-18)).
15
Let n = 67 - 43. Let b(z) = -2*z**3 - 7*z**2 + 26*z - 9. Let v be b(-6). Calculate the remainder when n is divided by 504/(-210)*v/(-4).
6
Suppose -2*f + 230 - 54 = 0. What is the remainder when 11087 is divided by f?
87
Let u = -32404 - -32489. What is the remainder when 40117 is divided by u?
82
Let h(w) = 14*w - 96. What is the remainder when h(11) is divided by (2 + -5)*(-104)/24?
6
Suppose 34191 - 1676 = 37*n + 1805. Calculate the remainder when n is divided by 166.
0
Let h(p) = -8*p**3 + 16*p**2 + 133*p - 3. Calculate the remainder when h(-7) is divided by 105.
74
Let u = 349 + -357. Let t(d) = -6*d + 10. What is the remainder when t(u) is divided by 2?
0
Let y(s) = -s**2 - 7*s + 17. Let p be y(-9). Let x = 150 - p. What is the remainder when x is divided by 14?
11
Let b be ((-5)/2)/(-5 + 11255/2250). Let g = 1598 + b. Calculate the remainder when g is divided by 34.
31
Let v = -2368 - -2381. What is the remainder when 146 is divided by v?
3
Suppose 129*a = 167*a - 1140. Suppose 5*v + z - 5*z = 722, -3*z + 736 = 5*v. Calculate the remainder when v is divided by a.
26
Suppose -18 = 15*l - 18*l. What is the remainder when 81 is divided by 54 - (6/l + 4)?
32
Let g(k) = k + 1. Let w(p) = 9*p - 18. Let b(f) = 2*g(f) - w(f). Let r = -115 + 112. What is the remainder when b(r) is divided by 21?
20
Suppose 2*j + 15*h = 20*h - 97, 5*j + 5*h = -225. Let a = 83 + j. Calculate the remainder when 71 is divided by a.
34
Suppose -106*n - 105*n + 199*n + 2364 = 0. What is the remainder when n is divided by 3?
2
Let n be 4/(-32) + (-451)/264 + 2/(-12). Suppose 10 = 3*u - 152. Let z = n + u. Calculate the remainder when z is divided by 23.
6
Calculate the remainder when 67 is divided by 56 + (-4)/(-18) + 182/234.
10
Let l be 3/((-12)/4) - -4. Suppose 3*m - 3*f = 33, l*m + 2*f - 37 - 11 = 0. What is the remainder when 40 is divided by 298/m + (-6)/21?
19
Let o(f) = 164*f - 956. Let q(u) = -55*u + 318. Let a(i) = -3*o(i) - 10*q(i). Calculate the remainder when 46 is divided by a(6).
10
Suppose 56*d - 3802 - 5779 = -2693. What is the remainder 