
9
Let c(v) = -23*v + 11. Let k be c(-5). Suppose 8*p = 11*p - k. Suppose 3*i + p = 4*i. What is the remainder when i is divided by 16?
10
Let r be 27/(-6)*2/(-9). Let h = 17 + r. What is the remainder when 35 is divided by h?
17
Suppose 9*a - 84 = -2*s + 5*a, 0 = 4*s - 2*a - 138. Calculate the remainder when 119 is divided by s.
11
Suppose -11*o + 234 = 7*o. Suppose 0 = 5*g, -5*g - 16 = -4*k - 0*g. Calculate the remainder when o is divided by k.
1
Let t be (3 - (-4)/(-1))*6. Calculate the remainder when ((-58)/4)/(t/12) is divided by 6.
5
Let d(l) = -68*l + 39*l + 6*l**2 + 37*l + 1 - l**3. Let j be d(7). Suppose -j = -f + 3. Calculate the remainder when f is divided by 3.
2
What is the remainder when ((-10)/6)/(450/(-10260)) is divided by 9?
2
Suppose 163 = 3*l - 5*n, -l - n + 4 = -53. Let w = 209 - 194. What is the remainder when l is divided by w?
11
Let f = 14 - 12. Suppose -n + 50 = 2*j - 0*j, 0 = -3*j + f*n + 68. Let v = j + -13. What is the remainder when 21 is divided by v?
10
Suppose 11*z = 7*z - 5*v + 249, z = 2*v + 46. What is the remainder when z is divided by 29?
27
Let f(t) = -3*t - 110. Let o = 279 - 168. Calculate the remainder when o is divided by f(-43).
16
Let v(r) be the second derivative of r**4/12 + r**3/2 + 19*r**2/2 - 10*r. What is the remainder when v(0) is divided by 7?
5
Let p(y) = 5*y. Let q be p(1). Suppose 2*j = 5*j + q*b - 9, 3*b + 9 = 0. What is the remainder when 47 is divided by j?
7
Suppose -182 = -4*x + 2*l, -23 = -4*x + 4*l + 149. What is the remainder when x is divided by 38?
10
Suppose 5*w = 6*w - 3. Suppose -a + 8 = w. Suppose -2*c = a*f - 7*c - 315, 2*c - 189 = -3*f. What is the remainder when f is divided by 22?
19
Suppose -6*w = -155 + 77. Calculate the remainder when 21 is divided by w.
8
Let a be ((-4)/3)/(2/(-3)). Suppose -3*f = a*f - 90. Suppose 2*d - 29 - 113 = 0. What is the remainder when d is divided by f?
17
Let i(n) = 3*n**2 + 4*n**2 - 6*n**2 - 5 - 3*n**3 + 0*n**2. What is the remainder when i(-3) is divided by 43?
42
Suppose 4*v - 160 = -v. Suppose 0*n = -4*n + v. Let b(h) = -h**3 + 8*h**2 + 3*h - 2. What is the remainder when b(8) is divided by n?
6
Let h = -160 + 186. Let v be (-18)/2 + -9 + 7. Let d = v - -20. What is the remainder when h is divided by d?
8
What is the remainder when 65 is divided by ((-54)/(-90))/(6/140)?
9
Let o = -123 - -139. Calculate the remainder when 142 is divided by 4*(-58)/(-3)*6/o.
26
Let w(h) = -h - 2. Let f be w(4). Let k(z) = z**2 + 2*z - 10. Calculate the remainder when 68 is divided by k(f).
12
Suppose -15 = -a + 3. Suppose -120 = 601*k - 613*k. Calculate the remainder when a is divided by k.
8
Let j(l) = -5*l - 40. Let k = 24 + -33. Calculate the remainder when 19 is divided by j(k).
4
Suppose -2*y + 3*o - 160 = -7*y, 0 = -o - 5. Let h = 44 - 35. What is the remainder when y is divided by h?
8
Calculate the remainder when -184*(2 + 60/(-28)) - (-34)/(-119) is divided by 10*2 - (-2)/2.
5
Let q be (2/3)/((-3)/(27/(-2))). Suppose 6 = -m - 4*i, -3 = m - 0*m + q*i. What is the remainder when m is divided by 3?
0
Let u(b) = -b**3 + 5*b**2 + 3. Let v be u(5). Suppose 2*o = 4*q - 3*o - 16, 3*q + v*o - 39 = 0. What is the remainder when 16 is divided by q?
7
Suppose -4*u - 2*u = -11*u + 35. Let d be 3/(-1 - 11/(-12)). Let a = -2 - d. Calculate the remainder when a is divided by u.
6
Suppose -3*g = -r - 11, -3*r = -4*g + 6*g - 11. What is the remainder when 37 is divided by g?
1
Let m be 3/4 - (-4)/16. Let c be (2 + m)*(0 - -3). Suppose 6*r = 5*r + c. Calculate the remainder when r is divided by 5.
4
What is the remainder when 139 is divided by 66/363 + (-304)/(-22)?
13
Let z(k) = -k + 9. Let i be z(8). Calculate the remainder when 3 - i - (5 + -53) is divided by 5/((-25)/(-10)) - -11.
11
Suppose s + 7*u = 3*u - 1, 2*u + 2 = 0. Suppose -7*r + s*r + 4*w + 56 = 0, -4*r - w + 46 = 0. What is the remainder when 46 is divided by r?
10
Let t = 1583 - 1426. Calculate the remainder when t is divided by 81.
76
Let r(q) = 3*q - 20. Let m be r(8). Suppose -3*s - 3*v = -18 - 15, 2*s = m*v + 34. What is the remainder when 63 is divided by s?
11
Suppose -3*l + 7*l + 2*i = 0, 0 = l + i - 2. Let x be (-1 - -48) + (l - -1). Suppose -5*b + x = -24. What is the remainder when 27 is divided by b?
13
Suppose m = -9 + 99. Suppose -v + m = v. Suppose 10 = -2*c, -2*s + v = c - 0*c. Calculate the remainder when s is divided by 9.
7
Let y = 16 - -220. Calculate the remainder when y is divided by 41.
31
Suppose 17 - 120 = -3*v + 2*u, -4*v + 3*u = -136. Calculate the remainder when 55 is divided by v.
18
Suppose -2*x + 8 = 0, -3*d + 5*d - x - 84 = 0. Calculate the remainder when 213 is divided by d.
37
Let q(n) = 9*n + 10. Let t be q(-2). Let f = 19 + t. Calculate the remainder when 19 is divided by f.
8
Let f = -9 + 19. Let c = f + -6. Calculate the remainder when (4249/(-1214))/(0 + -2 + (-12)/(-8)) is divided by c.
3
Suppose 0 = -4*r + 30*w - 28*w + 70, -3*r = 2*w - 49. What is the remainder when ((-36)/8 + 4)*-166 is divided by r?
15
Let r(b) = -29*b - 15. Let z = 38 - 23. What is the remainder when r(-2) is divided by z?
13
Suppose -x = -6*y + 2*y - 27, -5*y = -2*x + 66. Calculate the remainder when 1631 is divided by x.
40
Calculate the remainder when 40 is divided by (11/(-44))/((-2)/88).
7
Let r = 83 - 60. Suppose 5*w = r + 32. What is the remainder when 17 is divided by w?
6
Let i(z) = -z**3 - 5*z**2 - 4*z + 1. Let o(u) = u**2 + u + 4. What is the remainder when i(-7) is divided by o(-6)?
25
Suppose -254*b - 128 = -258*b. Calculate the remainder when 180 is divided by b.
20
Let o = -54 + 65. Suppose 99 = -8*g + o*g. What is the remainder when g is divided by (-2 + 14)*(1 - 0)?
9
Let y be (-2)/(-7) + (-90)/21. Let m be (-154)/182 + -1*4/26. Let v = m - y. What is the remainder when 11 is divided by v?
2
Suppose 0 = -24*q + 1069 - 373. Calculate the remainder when q is divided by 19.
10
Suppose -5*p - 4 = -284. Calculate the remainder when 45 is divided by (-230)/(-14) + (-24)/p.
13
Let c(o) = 3 + 284*o + 17*o**2 - 3 - 285*o. What is the remainder when 42 is divided by c(1)?
10
Suppose 0 = -72*f + 75*f - 327. Calculate the remainder when f is divided by 20.
9
Let v = 61 + -31. What is the remainder when v is divided by 23?
7
Suppose 6*t + 75 = t. Let f be (112/(-20))/(3/t). Suppose 4*k = -4*a + f, a + 33 = 4*a - 3*k. What is the remainder when 15 is divided by a?
6
Let h(q) = -q**3 - 4*q**2 - q - 3. Suppose 3*l - 4 = 2. Suppose -14 = -l*n + 16. Calculate the remainder when h(-5) is divided by n.
12
Let w = 32 - 7. Suppose 0 = 5*b - w, y - 6*y + 175 = -3*b. What is the remainder when y is divided by 14?
10
Suppose 5*c = -s + 4, 3*s - 10 = c + 2. Suppose -s*l + 27 + 1 = 0. Calculate the remainder when 27 is divided by l.
6
Let b be (-2610)/(-25) - (-2)/(-5). Suppose -4*m - 4*s = -3*m - b, m + 3*s = 103. What is the remainder when m is divided by 27?
19
Suppose 10*r = 12*r - 74. Calculate the remainder when 208 is divided by r.
23
Suppose -2*v + 115 = 3*v. Let o = 12 - -19. Suppose 48 = o*q - 25*q. What is the remainder when v is divided by q?
7
Let m(k) = 24*k**2 + 11*k - 5. Suppose 0 = d + 4, -4*i + 3*d + 32 = 0. Suppose 10 = i*a - 110. What is the remainder when m(-2) is divided by a?
21
Let j be (-6)/8*(-9 + 5). Suppose j*o - 13 = 11. Calculate the remainder when 13 is divided by o.
5
Suppose 3*g - 3*v - 24 = 0, -3*v = 2*g - 4*v - 11. Suppose -g*w = 2*w - 55. Let p = 3 + 3. What is the remainder when w is divided by p?
5
Let l(u) = 76*u**2 - 69*u - 9. Calculate the remainder when l(3) is divided by 5.
3
Let p be (-2)/(-3 - 32/(-12)). Suppose 80 = -v + p*v. Calculate the remainder when v is divided by 5.
1
Let k(x) be the first derivative of 9/2*x**2 + 2/3*x**3 - 7*x - 4. What is the remainder when k(-10) is divided by 21?
19
Suppose -4*k + 4*v = -704, 3*k + 0*k + 4*v = 542. Calculate the remainder when k*(-3 - (-14)/4) is divided by 23.
20
Let x be 0 - 5*(0 - 1). Let t(s) = -3*s + 17. Let v be t(5). Suppose -v*i + x*f = i - 195, 4*f - 65 = -i. Calculate the remainder when i is divided by 17.
14
Suppose 0 = -2*v + 9 + 5. Let u = 11 - v. What is the remainder when -1 + (-134)/(-17) + (-6)/(-51) is divided by u?
3
Suppose -5*r - 92 = -7*r. Suppose -32 = -2*c + r. What is the remain