.
9
Let x = 18 + -18. Suppose 0*a + 6*a = x. Calculate the remainder when 45 is divided by 57/3 + a - -4.
22
Suppose -100*p - 188 = -2788. Calculate the remainder when 44251 is divided by p.
25
Suppose -l + 73 = 20*v - 193, -4*l + 50 = 2*v. What is the remainder when 79272 is divided by v?
11
Let u(t) be the third derivative of -t**6/120 + 3*t**5/20 + t**4/12 - 2*t**3/3 + 100*t**2. Calculate the remainder when 63 is divided by u(9).
7
Suppose -w = -0 - 27. Suppose 31*v = w*v + 1184. Calculate the remainder when v is divided by 60.
56
Let h(m) = 16*m - 7. Let v(k) = -43*k - 2924. What is the remainder when v(-70) is divided by h(3)?
4
Let t(j) = j**3 - 44*j**2 - 102*j + 444. Calculate the remainder when t(47) is divided by 14.
9
Let y = 11 + 25. Let v(i) = i**3 - 17*i**2 + 36*i - 83. Let m be 5150/350 - (-4)/14. Calculate the remainder when y is divided by v(m).
1
Let x = -19448 - -19492. Suppose -k + y + 0*y + 15 = 0, 30 = k - 4*y. Calculate the remainder when (k/(-15))/(2/(-393)) is divided by x.
43
Let l = 87 + -50. Suppose -2*m - 2*z + 44 = 0, -m = 2*z - 6*z - l. Let c = 43 - m. Calculate the remainder when c is divided by 5.
3
Suppose -1102 + 7 = -3*h + 3*i, -2*h = -3*i - 729. Suppose -h*a + 371*a - 95 = 0. What is the remainder when 169 is divided by a?
17
Suppose -x = k + k - 412, 1240 = 3*x + 5*k. Suppose l = -4*l + x. Suppose -54*m + 35*m = -27*m + 176. What is the remainder when l is divided by m?
18
Let j = -62 + -170. Let n = 279 + j. Calculate the remainder when n is divided by 12.
11
Let l = -1079 - -1164. Calculate the remainder when 648 is divided by l.
53
Let l(h) = 3*h + 43. Let q(r) = -5*r - 42. Let u(n) = -4*l(n) - 6*q(n). What is the remainder when 95 is divided by u(-3)?
17
Let p = 41 + -32. Let l(o) = o**2 - 11*o - 111. Calculate the remainder when l(18) is divided by p.
6
Suppose -29 = -119*r + 3422. Calculate the remainder when 101 is divided by r.
14
Let w(n) = -2*n - 28. Let z be w(-15). Suppose j - z - 28 = -3*f, -4*f = -j - 33. Suppose 0*o - 6*o + 192 = 0. Calculate the remainder when o is divided by f.
5
Let d = 14 - 9. Suppose t + 2*m - 11 = 0, -t - 4*m + 12 = -7. Suppose 0*y - 45 = -3*y + t*x, -2*x + 96 = 5*y. Calculate the remainder when y is divided by d.
3
Let g(c) = -85*c - 832. What is the remainder when g(-13) is divided by 254?
19
Suppose -6*x + 855 = -x - 5*z, 2*x - 354 = -4*z. Let o = -16 + 38. Calculate the remainder when x is divided by o.
19
Suppose 4994 = -31*p + 42*p. Calculate the remainder when p is divided by 39.
25
Let p be 20/(-15)*3/(-2). Let x(c) = 3*c**2 - 2*c + 3*c + 6*c - 3*c - 3. Calculate the remainder when 31 is divided by x(p).
14
Suppose -3898*t + 1506 = -3895*t. Calculate the remainder when t is divided by 291.
211
Suppose 305*w - 208*w = -377*w + 145992. Calculate the remainder when 1258 is divided by w.
26
Suppose 19 = 3*u - 2*u. Let f(h) = -h**3 + 19*h**2 - 3. Let r be f(u). Let b(z) = -10*z - 5. Calculate the remainder when b(r) is divided by 10.
5
Let h = 98 + -101. Let c(w) = -2*w + 5. Let k(x) = -4*x + 9. Let q(a) = -7*c(a) + 4*k(a). Calculate the remainder when 27 is divided by q(h).
6
Let f be ((-2)/(0 + -1))/((-15)/(-210)). Suppose 7*v - f = -0*v. Let j(p) = -p**2 + 2*p + 13. Calculate the remainder when 14 is divided by j(v).
4
Suppose -3*v + 6*v - 6 = 0. Suppose 2*f + v*a - 26 = 0, -f - 3*f + 4*a + 76 = 0. Calculate the remainder when (2774/(-292))/((-19)/(-10) + -2) is divided by f.
15
Let r(o) = 4*o**3 + 32*o**2 - 8*o - 7. Calculate the remainder when r(-8) is divided by ((-23)/9)/((-21)/(-63))*-6.
11
Calculate the remainder when ((-8)/(-104))/(1/12077) is divided by 31.
30
What is the remainder when 487 is divided by (21 - (-414)/(-54))*(-6)/(-4)?
7
Let a(z) = 4*z**2 + z - 16. Let g(i) = 8*i**2 - 30. Let t(c) = -11*a(c) + 6*g(c). Calculate the remainder when 61 is divided by t(4).
13
Suppose -2753*q + 2703*q + 1800 = 0. What is the remainder when 3704 is divided by q?
32
Let v = -134 - -131. What is the remainder when (1164/48)/(1*v/(-12)) is divided by 33?
31
Let z = 31270 - 31181. What is the remainder when 1689 is divided by z?
87
Let k = -52 - -114. Suppose 14*s - 21*s + 77 = 0. Suppose a - s = 5*f + 16, -5*a = f - 31. Calculate the remainder when k is divided by a.
6
Suppose -110*p = -87*p - 28497. What is the remainder when p is divided by 404?
27
Let n(k) = -k - 21. Let p be n(-24). Suppose 0 = p*r + 3*z - 1698, 13*z = 4*r + 18*z - 2265. Calculate the remainder when r is divided by 9.
7
Let s be 3*-1 - 54/(-6). Calculate the remainder when (-306)/(-8) + s/8 is divided by (-72)/42*350/(-75).
7
Suppose -f - 23*j + 163 = -22*j, 4*j = 5*f - 824. What is the remainder when 525 is divided by f?
33
Suppose -6 = 36*b - 39*b. Let l(o) = -658 - o**3 + 685 - 3*o**2 - 3*o**b + 2*o + 2*o**3. What is the remainder when l(6) is divided by 5?
4
Suppose 13*t = 11*t, -2*t - 19026 = -2*l - 3*t. Calculate the remainder when l is divided by 156.
153
Suppose 0*g = g + 3*y + 214, g + 174 = 5*y. Let v = g + 306. Calculate the remainder when v is divided by 32.
11
Let j(d) = 2*d**2 + 134*d + 429. What is the remainder when 57 is divided by j(-64)?
12
Let l = 26 + -21. Let h(i) = -2*i**3 + 10*i**2 + 4*i - 12. Let m(d) = -7*d + 1. Calculate the remainder when m(-3) is divided by h(l).
6
Suppose 2*v + 1374 = 8*v. Let y = 507 + -94. Calculate the remainder when v is divided by (-6)/(-54) - y/(-9).
45
Let b = -127 + 4. Suppose -3*l + q + 735 = 0, -5*l + 545 = -q - 680. Let d = l + b. What is the remainder when d is divided by 41?
40
Let p = -2600 - -3207. Calculate the remainder when p is divided by 47.
43
Let j = -337 - -342. Let t(o) be the third derivative of o**5/60 - 7*o**4/8 - 11*o**3/3 - 11*o**2. What is the remainder when t(23) is divided by j?
4
Let y(m) = -m**3 + 8*m**2 - 6*m + 6. Let l be y(7). Suppose -h = -0*h + a - 1, 5*h + a = l. Suppose h*x - 14 = 7. What is the remainder when 24 is divided by x?
3
Suppose -2*i = 208 + 64. Let t be 2*-2 - i/17. What is the remainder when (0 + (-102)/t)*(-6)/9 is divided by 11?
6
Suppose 0 = -3*y - 3*j + 336, -24*y + 533 = -19*y - 4*j. What is the remainder when y/(1*-3 + -15 + 19) is divided by 54?
1
Let l(u) = u**3 - 8*u**2 + 3*u + 8. Let m be l(8). Let a = 1907 - 1884. Suppose -5*n + a = -m. What is the remainder when 21 is divided by n?
10
Let c = 25897 - 22420. Calculate the remainder when c is divided by 37.
36
Suppose -3*y = y + 72. Let p = 4785 + -4757. Calculate the remainder when (-3)/(y/(-46))*-18 is divided by p.
26
Let a be 6/15 - 4/10. Suppose -5*l - 2*y - 84 = a, 5*l + y = 7*l + 30. Calculate the remainder when 15 is divided by -4*44/l + -5.
3
What is the remainder when 577 is divided by (9 + 260/(-30))*18?
1
Suppose 2*k - 3446 = -0*k. Let m = -3426 + k. Calculate the remainder when 25 is divided by 8/18 + m/(-117).
10
Let d be -786*(493/(-174) - 6/(-4)). Calculate the remainder when 52/(-39) + 3*d/36 is divided by 15.
11
Let n = 146 + -146. Suppose -4*j + n*h + 3*h + 95 = 0, 116 = 5*j - h. Calculate the remainder when 155 is divided by j.
17
Let i = 1483 - 1294. What is the remainder when 625 is divided by i?
58
Let f = 1075 + -952. What is the remainder when 139 is divided by f?
16
Calculate the remainder when ((-9)/((-27)/(-30)) - -5)*-329 is divided by 183.
181
Let y = 19857 + -18247. Calculate the remainder when y is divided by 11.
4
Suppose -5*h + 4*v + 429 = 0, -51 + 47 = 4*v. What is the remainder when 129 is divided by h?
44
Suppose -g = 2*i + 6, 4*g - 4*i - 6 - 6 = 0. Suppose g = -5*d - 4*h + 27, d - 8*h - 13 = -5*h. Calculate the remainder when 13 is divided by d.
6
Let q = 32 - 52. Let u(a) = -a**2 - 25*a + 3. Let x be u(q). Let z = -83 + x. Calculate the remainder when 73 is divided by z.
13
Let r(h) = 82*h - 5202. What is the remainder when 1466 is divided by r(64)?
40
Suppose -14 - 178 = -5*o - 3*i, 4*o - 3*i = 132. Suppose -75*a + 79*a = o. Calculate the remainder when a is divided by 2.
1
What is the remainder when (-11 - (-481)/39)*(-942)/(-4) is divided by 204?
110
Suppose 3*t - 1169 + 287 = 3*h, 2*t - 598 = 4*h. Suppose -13*f + t - 3 = 0. Calculate the remainder when f is divided by 11.
0
What is the remainder when 96 is divided by (-88 - -98)/(4/6)?
6
Let o(f) = -5*f**2 + 20. Suppose 3*t = 3*q - 12, -4 