the remainder when j is divided by 19.
17
Let i = 19349 + -19242. What is the remainder when 851 is divided by i?
102
Let z = -159 - -339. Suppose 3*n = 7*n - z. Calculate the remainder when 68 is divided by n.
23
Suppose -5*l + 2*c = -61, -4*l = l - 5*c - 55. What is the remainder when -29*(-1)/(-8)*-8 is divided by l?
3
Let b be 13*3/((-6)/88). Let x be (-4)/(-10) + b/55. What is the remainder when 24 is divided by (5/(x/(-14)))/(-5 - -6)?
3
Let s be (-1 - -1) + 0/14. Suppose s = -2*f - 18 + 72. Suppose m + q = 1, -q = -5*m + f + 2. What is the remainder when 18 is divided by m?
3
Let d(q) = q**3 + 13*q**2 + 17*q + 21. Let r be -2 + 45/(-9 + 4). Let y be d(r). Let w = y + -35. What is the remainder when 80 is divided by w?
39
Suppose -374*t = -377*t + 4*j + 16493, 5*t - 27499 = -4*j. Calculate the remainder when t is divided by 55.
54
Calculate the remainder when 194 + 2 - 261/29 is divided by 19.
16
Let a = 79 - 34. What is the remainder when 9088 is divided by a?
43
Suppose -t - 5 = -2*o, -2*o - 4*t - 4 = -2*t. Let d be (o/3)/((-3)/(-9)). Let g(i) = 11*i**3 + 2*i - 1. What is the remainder when 22 is divided by g(d)?
10
Let x = 2228 - 2264. Suppose -2*u + z + 77 = 0, -5*z - 5 = u - 16. Calculate the remainder when 59 is divided by (-2)/x*4 - (-532)/u.
14
Let u(p) = 3*p + 3792. What is the remainder when u(79) is divided by 7?
4
Suppose -48*i + 1459 = -1901. Calculate the remainder when i is divided by 7.
0
Let s(y) = 18*y + 39. Let g(r) = -2. Let u(m) = 105*g(m) + 5*s(m). Calculate the remainder when u(1) is divided by 13.
10
Let z(l) = -l**3 + 56*l**2 + 115*l + 92. Calculate the remainder when 106 is divided by z(58).
4
Suppose 19964*v - 19942*v = 50468. What is the remainder when v is divided by 19?
14
Suppose -546*x = -308*x - 127568. What is the remainder when x is divided by 68?
60
Let d = -11 - -25. Let m(f) = 671*f**3 + f**2 - 6*f + 4. Let r be m(1). What is the remainder when (84/210)/(-1*(-4)/r) is divided by d?
11
Suppose 12*q - 16*q = -284 + 64. What is the remainder when 2187 is divided by q?
42
Let m = 15 + -21. Let l be (-6)/27*6*(-9)/m. Calculate the remainder when 66 + (-5)/2*l is divided by 20.
11
Let d(b) be the first derivative of -4*b**2 - 3*b + 1. Let w(v) = -204355*v + 204445. What is the remainder when w(1) is divided by d(-2)?
12
What is the remainder when 1*217 - (15 - 17 - -10) is divided by 26?
1
Let g(w) = -39*w - 206. What is the remainder when 2320 is divided by g(-6)?
24
Suppose -44*v + 52*v = 1544. Let b = 209 - v. What is the remainder when 31 is divided by b?
15
Suppose 125 = 224*n - 223*n. What is the remainder when n is divided by (32/3*1)/(2/3)?
13
Let r(h) = 6 + 5*h - h - 5*h. Let g be r(0). Suppose 0 = g*n - n - 130. What is the remainder when 103 is divided by n?
25
Suppose -2*m = -0*m - 82. Calculate the remainder when (1970/(-50)*-10)/(23 - 21) is divided by m.
33
Suppose 0 = 2*f - 2, m = 5*f + 61 - 35. Calculate the remainder when 648 is divided by m.
28
Let i = -4239 - -4456. What is the remainder when 1733 is divided by i?
214
Let g = 3275 + -3218. Let x(s) = s**3 + 12. What is the remainder when g is divided by x(0)?
9
Let y = -369 + 1115. Suppose -5*u + y = -504. Suppose 0 = 3*w - 5*j - 80 - 64, -u = -5*w + 5*j. What is the remainder when 105 is divided by w?
52
Let q(g) = -g - 4. Let r be q(-7). Suppose u + 3*v = 0, 8*v + 16 = 4*u + 4*v. Suppose 2*n - n - u*p = r, 3*p = 0. What is the remainder when 11 is divided by n?
2
Suppose -3*u - 202 = 2*k - 600, 3*u + 190 = k. What is the remainder when 403 is divided by k?
11
Let j(k) = -11*k - 18*k**2 - 16 - 19*k**2 - k**3 + 27*k**2. Let n be j(-9). Suppose 3*g = n*g + 25. Calculate the remainder when 47 is divided by g.
22
Let l be ((-3772)/(-16) - -3) + (-4)/(-16). Let s = 260 - l. Calculate the remainder when 62 is divided by s.
20
Let w(v) = v. Let h(q) = 6*q + 58. Let l(p) = -h(p) - 3*w(p). Suppose 4*n - 98 - 6 = 0. What is the remainder when n is divided by l(-8)?
12
Let t(k) = 11*k - 66. Let a be t(6). Suppose u - 32 - 127 = a. What is the remainder when u is divided by 41?
36
Let j(s) = -3*s + 41. Let i(q) = q**3 + 4*q**2 - 5*q + 6. Let v be i(-5). Suppose -6 - v = -o. What is the remainder when j(-6) is divided by o?
11
Let m = -1419 + 2027. Calculate the remainder when 1220 is divided by m.
4
Let g(t) = -t**3 + 5*t**2 + 6*t - 17. Calculate the remainder when 205 is divided by g(-4).
102
Let f(z) = -z**3 - z**2 + 6*z + 2. Let a be 5*(18/(-10) + 1). What is the remainder when f(a) is divided by 15 + 0/(11 + -3)?
11
Let t(x) = 8*x - 266. Let c(h) = h**2 + 10*h - 47. Calculate the remainder when c(-19) is divided by t(34).
4
Let c = -235 - -283. Suppose -m + 57 = c. What is the remainder when 169 is divided by m?
7
Suppose 3*b + 13 = -2*y + 288, -2*y + 457 = 5*b. What is the remainder when 170 is divided by b?
79
Suppose -2*i = 3*v - 1148, -19 + 9 = 2*i. Suppose 0*c - 4*c - 2*o + v = 0, 5*c - 490 = -5*o. Calculate the remainder when c is divided by 192/14 + 4/14.
11
Suppose 3*q = 5*g - 86, -3*q + 2*g = 5 + 78. Let b = 29 + q. Suppose -5*c = -123 - b. Calculate the remainder when c is divided by 13.
12
Let h(w) = -w**3 - 5*w**2 + 8*w + 6. Let b be h(-7). Let v be (-4)/(-3)*(-6)/(-4). Suppose 6*u = v*u + b. What is the remainder when 95 is divided by u?
11
Let i = -32 + 52. Let g be ((-698)/3)/((-32)/48). Let k = g - 311. Calculate the remainder when k is divided by i.
18
Suppose -p + 192 = 15*p. Let f = -20 - -42. Calculate the remainder when ((-104)/p)/((-1)/15) is divided by f.
20
Suppose -152 = -4*r + 4*s, -74 = -6*r + 4*r + 4*s. Suppose -48*v + 423 = -r*v. What is the remainder when 140 is divided by v?
46
Let n(c) = -119*c - 1124. Calculate the remainder when n(-11) is divided by 28 - (-2 - (-2)/(-1)).
25
Let n = 8805 + -8773. Let c = -8 - -20. What is the remainder when n is divided by c?
8
Suppose 3*i - 1470 = 2*z, 0 = -14*i - 5*z + 4*z + 6860. What is the remainder when i is divided by 119?
14
Suppose -2*x + 2*k = -5*x + 115, 0 = -x - 2*k + 33. Suppose -178*s + 183*s - 376 = -i, 0 = -s + 4*i + 113. Calculate the remainder when s is divided by x.
36
Let w be -7 + (-238)/(-35) - 126/(-5). Suppose -w = -k + 45. What is the remainder when k is divided by 24?
22
Suppose -3*p - 3*y = -378, 49*p = 46*p + y + 358. What is the remainder when 1933 is divided by p?
118
Let i = -12455 - -12472. What is the remainder when 1/(1/99) - -1 is divided by i?
15
Let x be 1 - (1 + -1 + -69). Suppose 0 = -l + w + 20, 0 = 2*l + 4*w - 0*w - x. Let o(n) = -n + 18. Calculate the remainder when l is divided by o(9).
7
Let o(i) = i**3 + 13*i**2 - 19*i - 4. What is the remainder when o(-9) is divided by 63?
50
Let n = 342 - 527. Let f = n - -192. Calculate the remainder when 13 is divided by f.
6
Suppose s - 22*j = -21*j + 558, 1682 = 3*s - j. What is the remainder when s is divided by 108?
22
Suppose 13629420 = 23*c + 350*c. Calculate the remainder when c is divided by 302.
300
Let o(y) = 2*y**2 + 2*y + 10. Let b = 23 - 26. Let n(v) = 2*v**2 - 5. What is the remainder when o(-4) is divided by n(b)?
8
Let d = -63 + 68. Suppose -4*c + 300 = 4*y, -d*c = y - 122 - 261. Suppose -4*o = -8, k - 5*o + o = c. Calculate the remainder when k is divided by 30.
25
Suppose 14567*w + 15960 = 14577*w. Calculate the remainder when w is divided by 47.
45
Let x = -9643 - -4033. Calculate the remainder when ((-6)/10)/(153/x) is divided by 12.
10
Let i = 10778 - 10690. What is the remainder when 4483 is divided by i?
83
Let a(z) = 157*z - 616. Calculate the remainder when 457 is divided by a(5).
119
Suppose -5*r + 148 = -122. Let v = 14699 + -14679. Calculate the remainder when r is divided by v.
14
Let z(s) = s**3 + 19*s**2 + 7*s - 30. Let b be z(-18). Suppose -b + 466 = 5*j + 3*o, 5*j = o + 294. Calculate the remainder when 234 is divided by j.
57
Suppose 88*t + 84*t + 2*t = 18792. What is the remainder when t is divided by (11/2)/((-4)/(-24))?
9
Suppose 61*x = 69*x - 704. Suppose -85*m + x = -81*m. What is the remainder when 73 is divided by m?
7
Suppose 3*g + a = -4*a + 133, a = -1. Suppose -1028 = -50*j + g*j. What is the remainder when j is divided by 37?
35
Let b = 821 - 796. Let o(w) = w**3 + 9*w**2 - 2*w - 9. What is the remainder when o(-8) is divided by b?
21
Let f = 32