 of 19*i**3/6 - 9*i**2/2 + 6*i. Suppose 2*w + r = -2*w + 72, 2*r = 3*w - 54. Calculate the remainder when j(6) is divided by w.
15
Let a = -47 + 100. Suppose -a + 100 = x. What is the remainder when x is divided by 7?
5
Suppose 135 = -15*n + 465. Calculate the remainder when 216 is divided by n.
18
Suppose 0 = -5*n - 5*i + 2830, 5*n - 58*i + 56*i - 2823 = 0. Calculate the remainder when n is divided by 71.
68
Let d = 9 + -3. Suppose -34*m - 2*r + 108 = -30*m, 5*r - 120 = -4*m. Calculate the remainder when m is divided by d.
1
Let i(j) = -j**3 - j**2 + 3*j + 40. What is the remainder when 317 is divided by i(0)?
37
Suppose 5*k - 5*r = 35, r = 3*k - 4*r - 31. Suppose 19 = t + 4*i, 25 = -0*t + k*t - 5*i. Calculate the remainder when t is divided by 5.
0
Suppose -l + 2 + 11 = 0. Suppose l = n - 1. Calculate the remainder when 35/14*(-246)/(-15) is divided by n.
13
Suppose 3*c + 3*d - 178 = 98, 5*c + d - 448 = 0. Calculate the remainder when c is divided by 15.
14
Let b(u) = -u**2 + 10*u - 8. What is the remainder when 222 is divided by b(4)?
14
Suppose 0 = -7*d + 4*d + 519. Calculate the remainder when d is divided by 11.
8
Let j = -1 + -5. Let d(m) = -m**3 - 6*m**2 - 6*m - 4. Let y be d(j). Suppose -2*u + 30 = -y. Calculate the remainder when u is divided by 16.
15
Let o(l) = 31*l - 876. Calculate the remainder when o(34) is divided by 12.
10
Suppose -5*k = 27 + 23. Calculate the remainder when (72/(-10))/(k/25) is divided by 7.
4
Suppose 0 = -3*w + 4*l + 120, -2*w - 2*l - 2*l + 80 = 0. Calculate the remainder when 239 is divided by w.
39
Suppose -4*v + 5*s = -124 - 98, -214 = -4*v + s. Calculate the remainder when 1058 is divided by v.
51
Suppose 4*r = -213 + 33. Let w = -35 - r. Calculate the remainder when 47 is divided by w.
7
Let x(g) = 143*g**3 - 1. Let f be x(1). Suppose f = 3*l - 14. Calculate the remainder when l is divided by 18.
16
Let w = 97 + -49. Suppose -9 = -4*r - 5*c, -4*r - 4*c = 10 - 22. Suppose -153 = -r*n - 3*n. Calculate the remainder when w is divided by n.
14
Suppose 0 = 11*o - 78 - 120. Let s(z) = -2*z**2 + 0 - z**3 - 1 + 6 + 2*z. Calculate the remainder when s(-5) is divided by o.
16
Suppose 0 = 5*f + 138 - 593. Suppose -f = -5*t - 11. Suppose d - 2 = 3*b + t, -40 = -2*d + 4*b. What is the remainder when 69 is divided by d?
21
Let q = 213 + -229. Let h(o) = o**2. Let w(j) = -5*j**2 + 15*j + 7. Let m(v) = 6*h(v) + w(v). What is the remainder when m(q) is divided by 12?
11
Suppose 4*j + 4*f + 144 = 8*j, 0 = -5*f + 10. What is the remainder when 215 is divided by j?
25
Suppose f - z - 3*z = 17, -3 = -3*f - 4*z. Let x(h) = -h + 22. Calculate the remainder when x(11) is divided by f.
1
Let t(g) = -g**3 + 4*g**2 + 7*g - 7. Let a be t(5). Suppose -57 - 6 = -a*s. Suppose 60*y - 916 = -44*y - 292. Calculate the remainder when s is divided by y.
3
Suppose 0*p + 8 = y - p, 0 = -2*y + 3*p + 21. Let z = y - -2. Suppose z*m - 69 = 1. Calculate the remainder when 68 is divided by m.
12
What is the remainder when (18 + -28)*(1 - 8) is divided by 39?
31
Let a = 0 + 2. Let x = a - -16. Suppose -r - 4*i - 55 = -2*r, r = 5*i + 51. Calculate the remainder when r is divided by x.
17
Suppose 0 = -z - 3 + 7. Let r(m) = m**3 - 7*m + 6. Let y be r(z). Suppose 0 = -5*n + 2*n + y. Calculate the remainder when n is divided by 8.
6
Let b(w) = w**3 - 46*w**2 + 206*w - 10. Calculate the remainder when b(41) is divided by 3.
1
Suppose 0 = -h + 14 + 64. Calculate the remainder when 164 is divided by h.
8
Let b = 73 - 67. Suppose 6 = o + 2. Suppose -o*u - 29 = -3*y, 4*y + 2*u = -2*u - 8. Calculate the remainder when b is divided by y.
0
Suppose -4*y = 98 + 22. Let j be -2*(y/4)/5. What is the remainder when 41 is divided by (-1)/((12/j)/(-56))?
13
Calculate the remainder when 319 is divided by -1 - 662/(-18) - 60/(-270).
31
Calculate the remainder when 293 is divided by (-460)/(-32) - (-12)/(-32).
13
Suppose 0 = h + 2, -5*d - 3*h + 179 = 0. Calculate the remainder when d is divided by 27.
10
Let s(k) = 2*k**2 - 2*k - 7. What is the remainder when 4987/52 + 13/52 - 2/13 is divided by s(5)?
30
Let q(u) = 69*u**3 - 2*u**2 - u + 2. Let x be q(1). Suppose 7*r - 9*r = -x. What is the remainder when r is divided by 13?
8
Let r(b) = 2*b - 20. Suppose -4*a + 13 = 3*p - 45, -3*a = -p + 2. Suppose -2*w = 3*w - 105. Calculate the remainder when w is divided by r(p).
5
Let h(o) = -o**3 - 30*o**2 - 83*o - 39. What is the remainder when h(-27) is divided by 1/3 - 22/(-6)?
3
Let u(j) = 29*j**2 - 6 - 7*j - 6*j**2 + 4*j**2 + 2*j**2. What is the remainder when 116 is divided by u(-1)?
26
Let m(s) = -66*s**3 + s**2 - 2*s - 2. Let a be m(-1). What is the remainder when 1 + 4*(5 + 0) is divided by 4/(-24) + a/6 + 0?
10
Suppose -19316 - 8205 = -29*z. Calculate the remainder when z is divided by 159.
154
Suppose -29 = -u - 5*o, o - 9 = 6*u - 7*u. Let d(m) = 8*m**2 + 4*m - 6. Calculate the remainder when d(u) is divided by 35.
33
Let g(i) be the third derivative of -i**4/12 + 37*i**3/3 + 3*i**2. Let w be g(0). Suppose -v = -3*v + w. Calculate the remainder when v is divided by 10.
7
Suppose 0 = m + 2*m + 2*l + 4, -5*l - 23 = m. Let z be 1/(m + 15/(-9)). Suppose 3 = -z*b + 60. Calculate the remainder when b is divided by 11.
8
Suppose -18 = -2*o + 2*y, -14 = 5*o - 3*y - 55. Let t(l) = 4 + 10*l + 2 + l**2 - 2*l**2 - l. Calculate the remainder when t(6) is divided by o.
3
Let l = -72 - -126. Calculate the remainder when l is divided by 21.
12
Let d(g) = -2*g**2 + 3*g + 6. Let q be d(4). Let v = q - -22. Calculate the remainder when 19 is divided by v.
3
Let z be 3 - (-8)/(8/147). Suppose 0 = 9*d + 24 - z. What is the remainder when 67 is divided by d?
11
Let j(p) = -4*p - 1. Let d be j(-1). Let q(n) = 8*n + 2. Calculate the remainder when (0 - (5 + -6))*103 is divided by q(d).
25
Suppose 0 = 4*d - 2*d - 12. Suppose 2*k = 4*v + 42, -2*k - 2*v + 26 = 2*v. Let z = k - d. Calculate the remainder when 19 is divided by z.
8
Let q(b) = -b**3 - 30*b**2 + 24*b + 63. What is the remainder when q(-31) is divided by 82?
34
Let y = 455 + -438. Calculate the remainder when 101 is divided by y.
16
Suppose -3*z - 1 = 4*w - 3, -4*z = 3*w - 12. Let c = z + -1. Suppose -c*j + 4*j = -18. What is the remainder when 70 is divided by j?
16
Let n(j) = j**2 + j + 7. Let k = -39 - -36. What is the remainder when n(k) is divided by 9?
4
Let m(b) = b + 15. Let p be m(-11). Suppose -5*c + a + 50 = -4*a, p*c - 5*a = 45. Suppose -4 = 4*k - c*k. What is the remainder when 5 is divided by k?
1
Let y be 60/5 + -1 + -2. Let x = 10 - y. Let w(k) = 22*k**2 + k. Calculate the remainder when 68 is divided by w(x).
22
Let o = 106 + -209. Let i = o - -110. Suppose -2*p + 8 = 2. Calculate the remainder when i is divided by p.
1
Let k(i) = -2*i**3 - i**2 - 2*i + 9. Let w(y) = -y**3 - y**2 - y - 1. Let t(n) = -k(n) + 3*w(n). What is the remainder when t(-5) is divided by 23?
22
Suppose 3*z + 0*x - 5*x + 58 = 0, -z = -5*x + 16. Let y = z - -23. What is the remainder when 3 is divided by y?
1
Let y(h) = -2*h**2 - 2*h. Let f be y(4). Let w be (-30)/f - 262/8. Calculate the remainder when (-2)/(w/(-292))*-4 is divided by 19.
16
Let y = -319 + 348. Calculate the remainder when y is divided by 5.
4
Let v(m) = m**3 - 7*m**2 + 2. Let h be v(7). Suppose h*a = 3*a. What is the remainder when -2 - (a + -5) - -1 is divided by 2?
0
Let o be (42/14)/((-1)/(-5)). Let n be 504/o + 4/10. Let d = n + -10. What is the remainder when 94 is divided by d?
22
Calculate the remainder when (153/(-12))/((-15)/20) is divided by 6.
5
Suppose -f - c + 42 = 0, -f - 5*c + 22 = -9*c. What is the remainder when 334 is divided by f?
30
Suppose a + 4 = 0, 7*b - a = 8*b - 119. What is the remainder when b is divided by 16?
11
Suppose -3*b = -4*b + 8. Suppose -2*r = -4*u + 2*r + 136, -4*u = 2*r - 118. What is the remainder when u is divided by b?
7
Suppose o - 5*f + 23 = 1, -2*f - 5 = -5*o. Let c be 59 + o/(-1) + 4. Calculate the remainder when 59 is divided by (c/(-16))/((-2)/8).
14
Calculate the remainder when 266 is divided by (-18)/((18/9)/(-6)).
50
Suppose 15 = 5*n + 2*c, -c - 2 = 3. Suppose 2*q = m + m + 22, -4*m = -n*q + 51. What is the remainder when 20 is divided by q?
6
Let l = 318 - 196. What is the remainder when l is divided by 14?
10
Suppose 1