er when i(6) is divided by ((-1296)/(-288))/(1 + 1/2).
2
Suppose -142*w + 119*w = -437. Calculate the remainder when 125 is divided by w.
11
Suppose 4*x - 65 = -x. What is the remainder when 167 is divided by x?
11
Let t be 5 + 4/(8/(-6)). What is the remainder when (-1000)/(-36) + t/9 is divided by 6?
4
Let r = -1798 - -1811. Calculate the remainder when 62 is divided by r.
10
Suppose 371 = 2*f - u, -2*f + 3*u = -578 + 213. Suppose 5*s = 285 - 50. What is the remainder when f is divided by s?
46
Let m(q) = -11 - 7*q + 3*q + 26 - 6*q. What is the remainder when 136 is divided by m(-2)?
31
Let x = 110 + -70. What is the remainder when 199 is divided by x?
39
Suppose -i - 4*i + 5*a = -80, -4*i = a - 84. Let k = 7 + i. What is the remainder when 46 is divided by k?
19
What is the remainder when 86 is divided by (6/(-18))/(-1 - (-159)/162)?
14
Suppose -4*y - 52 = -3*c, 3*y = 7*y - 8. What is the remainder when 77 is divided by c?
17
Let c be -1*12/(-1 + 2). Let z = -6 - c. Suppose 3*n + 102 = z*n. What is the remainder when n is divided by 12?
10
Let k = 52 + -38. Let a(x) = -x**3 + 8*x**2 + x - 1. Let i be a(8). Suppose i*r - s = 3*r + 21, -5*r + 25 = -s. Calculate the remainder when k is divided by r.
2
Let a(d) = d**3 - 14*d**2 - 11*d - 26. Calculate the remainder when a(15) is divided by 9.
7
Let u be (-5)/2*72/(-45). What is the remainder when (-79)/((u - 6)/2) is divided by 20?
19
Suppose 3*s = 3*m + 54, -5*m = -2*s + 15 + 33. Suppose -2*p - 114 = -4*p. Let q = p - 17. What is the remainder when q is divided by s?
12
Let h = 18 + -68. Calculate the remainder when (-40)/h*(-30)/(-4) is divided by 5.
1
Let x be (3/12)/((-2)/(-8)). Suppose a - 4*d + x = 9, -4*a + 2*d - 10 = 0. Calculate the remainder when a/(-6)*45/3 is divided by 6.
4
Let w(r) = 266*r**3 - 3*r**2 + 3*r - 3. Calculate the remainder when w(1) is divided by 89.
85
Suppose 0 = 4*j + 3*c - 25 - 41, 0 = -j + 4*c + 26. Let p = -8 + j. What is the remainder when (-7)/(-35) + 237/15 is divided by p?
6
Let x = -682 - -775. Calculate the remainder when x is divided by 25.
18
What is the remainder when (-114)/(-76) + 334/4 is divided by 28?
1
Let x = -74 - -73. Calculate the remainder when x*(-2 + -1 + -42) is divided by 15.
0
Let s = -9 + 11. Suppose -2*b - 5 = -r, 0 = s*b - 0 - 2. Calculate the remainder when r is divided by 5.
2
Let j(o) = 18*o**3 - 4*o**2 + 12*o - 41. What is the remainder when j(3) is divided by 55?
5
Suppose 12*z + 210 = 33*z. What is the remainder when 23 is divided by z?
3
Suppose -3*j - 112 = -5*p - 7*j, 5*p = -j + 118. What is the remainder when 118 is divided by p?
22
Let r(q) = q**2 + 18*q + 8. Let w be r(-10). Let n = -63 - w. Calculate the remainder when n is divided by 7.
2
Suppose -3*y + 176 = 2*x, x - 168 - 10 = -3*y. Calculate the remainder when 358 is divided by y.
58
Let v(r) = r + 11. Let c be v(-8). Suppose 4*g - 13 - c = 0. Suppose 0 = -g*y - 0*y + 32. Calculate the remainder when 31 is divided by y.
7
Suppose -2*l + 43 = j, -2*l + 4*l = 2*j + 40. Suppose 4*g + 0*g - 164 = 0. Calculate the remainder when g is divided by l.
20
Suppose -2*w - 4 = -2, -4*p + 4*w + 28 = 0. Calculate the remainder when 51 is divided by p.
3
Calculate the remainder when 67 is divided by -5 + (-6)/(4*(-1)/10).
7
Suppose 3*w + 0*w + 315 = 0. Let f be (-2580)/w + 6/14. Let u = 37 - f. Calculate the remainder when 45 is divided by u.
9
Suppose 2*o - 63 = -5*z + 54, 4*o + 3*z - 213 = 0. Suppose 0 = -25*i + 30*i - 100. Let k(f) = f**2 - 20*f + 27. What is the remainder when o is divided by k(i)?
24
Let l(k) = 3*k**2 - 12*k - 110. Calculate the remainder when l(-10) is divided by 85.
55
Suppose 0 = 3*s - 6*s + 3. Let k be (-16)/(-10) - 6/(-15). Suppose -z - x = -3, x - 5 = -k*z - z. What is the remainder when z is divided by s?
0
Suppose 5*m - 11 = 4*m. Suppose -m - 17 = -c. Suppose -b = 5*n - 34, -2*n + 50 = 5*b - c. What is the remainder when 55 is divided by b?
13
Let q be 3 + (1 - 0)*1. Suppose y = 5*t + 50, -374 = -5*y - q*t - 124. Let w = y - 26. Calculate the remainder when 70 is divided by w.
22
Suppose -7*m - 37 + 275 = 0. Calculate the remainder when 85 is divided by m.
17
Let h = -48 + 59. What is the remainder when 29 is divided by h?
7
Suppose 2 = 3*h - 3*x - 1, 2*x = 3*h - 7. Suppose a + 3*l = 33, 2*l = h*a - 202 + 3. Let f = 64 - a. What is the remainder when 73 is divided by f?
23
Suppose -3*f - 60 = -174. Calculate the remainder when f is divided by 6.
2
Let m be (-16)/(-24)*30/4. Suppose m*a = -0*a - 3*i + 203, -2*a = -3*i - 77. Calculate the remainder when a is divided by 21.
19
Let t be (-7*(-4)/14)/((-4)/(-222)). What is the remainder when 49 is divided by (-89)/(-7) - (5 - t/21)?
10
What is the remainder when (-6)/(-15) + ((-3984)/(-10))/4 is divided by 17?
15
Let a(f) = f**3 - f**2 - 4*f - 2. Let p be 11/3 - 5/(-15). Calculate the remainder when a(p) is divided by ((-1)/(-2))/((-13)/(-286)).
8
Let h(r) = 2*r**2 - 13*r + 9. Let k be h(8). Suppose n + 3*v + k = 3*n, 0 = -v - 5. What is the remainder when 31 is divided by n?
4
Suppose 2*x + 10 = 3*x. Suppose -26*g = -27*g + 51. Suppose -119 = -10*p + g. Calculate the remainder when p is divided by x.
7
Let x = -45 + 55. Let g = -26 + -8. Let s = g - -73. What is the remainder when s is divided by x?
9
Let b = 59 - 29. Suppose c + 14 = b. Calculate the remainder when 40 is divided by c.
8
Let c(u) = -2*u**3 - 22*u**2 - 2*u - 4. What is the remainder when 376 is divided by c(-11)?
16
Let f = -60 + 71. Let n(m) = -m - 6. Suppose 3*r = -9 - 30. Calculate the remainder when f is divided by n(r).
4
Let d = 463 - 99. What is the remainder when d is divided by 73?
72
Suppose 5 = q, -y = -5*q - 13 + 44. Let d be 10*(8/(-5) + 0). Let x = y - d. Calculate the remainder when x is divided by 6.
4
Let l(q) = -q**3 - 2*q**2 + 16*q - 6. Let f(y) = 23*y**2. Calculate the remainder when l(-6) is divided by f(1).
19
Let l(w) = 46*w + 172. What is the remainder when 91 is divided by l(-3)?
23
Suppose -4 = -z + 4*h - 5*h, -4*h = 0. Let s(x) = 2*x**2 - 2*x + 8. Let l be s(z). Suppose 0 = 33*u - l*u - 74. What is the remainder when u is divided by 19?
17
Let b(l) = 2*l**2 + 5 + 5*l - 5*l - 8. Calculate the remainder when 7 is divided by b(2).
2
Let w(g) = 7*g**3 + 5*g**2 - 5*g. Calculate the remainder when w(2) is divided by 23.
20
Let j(h) be the first derivative of -h**4/4 - 2*h**3 - 5*h**2/2 + 2*h - 1. Suppose 9*x - 944 + 836 = 0. Calculate the remainder when j(-6) is divided by x.
8
Suppose -210 - 166 = -8*n. Let k(t) = 2*t**3 + t**2 - 5*t + 2. What is the remainder when n is divided by k(2)?
11
Let g = 63 + -28. Let n(p) = p + 5. Let u be n(11). Let s = u + 2. Calculate the remainder when g is divided by s.
17
Suppose 10*t = 5*t + 55. Suppose 0 = -30*k + 22*k + 144. What is the remainder when k is divided by t?
7
Let s be 34/5 - 12/15. Let n be ((-4)/s)/(5/(-15)). Suppose n*p = -v + 65, 3*v + 4*p = -v + 280. Calculate the remainder when v is divided by 11.
9
Let k = 724 + -715. Calculate the remainder when 88 is divided by k.
7
Let x = -9 - -11. Let r(t) = -4*t - 27. What is the remainder when r(-11) is divided by x?
1
Suppose 4*m = -3*l - 121, -m - 51 = -5*l + 8. Let y = m + 41. What is the remainder when 18 is divided by y?
4
Let v(x) = x - 14. Let m be v(13). Let q = -8 + 15. What is the remainder when 15/(-3)*m*4 is divided by q?
6
Let y(n) = -n**3 + 4*n**2 - n - 2. Let q be y(2). Suppose -q*h - 5*u = 5 - 42, 2*h - 3*u - 13 = 0. Calculate the remainder when h is divided by 3.
2
Suppose 0 = -x, 116 = 14*f - 10*f - 5*x. What is the remainder when 518 is divided by f?
25
Let a = 4 + -10. Let i(j) = -j**2 - 6*j + 5. Let s be i(a). Suppose -s*v = -2*v + x - 52, v = 4*x. Calculate the remainder when v is divided by 6.
4
Let f = -3 - -4. What is the remainder when ((-96)/(-88))/(4/22) is divided by f?
0
Let h(b) = 3*b - 36. Let k be h(12). Suppose -4*z + 3*l + 32 = k, -z + 2*l + 6 + 2 = 0. What is the remainder when 38 is divided by z?
6
Let o(k) be the first derivative of -4*k + 9/2*k**2 + 8. What is the remainder when 94 is divided by o(4)?
30
Suppose 5*m - 5*u - 260 = 0, -m - u = -4*m + 146. Suppose 48 = 2*p - 3*v, 120 = p + 4*p - 3*v. Calculate the remainder when m is divided by p.
23
Let y = -13 - -31. Let r be (1/(-3)*