2 + -27)/(-1) is divided by 5.
4
Suppose -162 = 3*r - 6*r. Suppose -2*q + r = -78. Suppose 0*s - 69 = -3*s. What is the remainder when q is divided by s?
20
Suppose -42*a = -6*a - 5112. What is the remainder when a is divided by 11?
10
Let t = -15 - -17. Suppose 12 = -t*m + m. Calculate the remainder when ((-172)/m)/(2/6) is divided by 15.
13
Let f = 101 + -68. Suppose 6 = -7*t + 10*t. Suppose f = x + t*x. What is the remainder when 31 is divided by x?
9
Let k(s) = -s**2 - 15*s - 4. Let z be k(-14). Let d = -6 + z. Let w = -4 + 5. What is the remainder when d is divided by w?
0
Suppose g - 22 = -4*d, 2*g - d + 133 = 6*g. Suppose -5*o = -29*o + 1584. Calculate the remainder when o is divided by (0 + -1)/((-2)/g).
15
Suppose 5*d + 3*l = 2*l + 28, -4*d + 14 = 5*l. Calculate the remainder when 99 is divided by d.
3
Let g = 70 + -3. Suppose 504 = 96*p - 60*p. Calculate the remainder when g is divided by p.
11
Let x(w) = -w**3 - 17*w**2 + 2*w + 37. Let s be x(-17). Suppose -8 = t + t + 5*i, -5*t - s*i = 1. Calculate the remainder when t is divided by 1.
0
Let b be 12/15 - 33/(-15). Let u(z) = 4*z + z - z**2 + z + 2*z. What is the remainder when 27 is divided by u(b)?
12
Let f = 363 - 297. Calculate the remainder when f is divided by 19.
9
Let u = -11 + 15. Suppose p - 8*d = -7*d + 41, -u*d = 3*p - 123. What is the remainder when 204 is divided by p?
40
Suppose 2*i + 2 = 3*i, 5*i - 8 = s. Let g(d) = -2*d**3 + 2*d**2 + d. Let f be g(s). Calculate the remainder when 39/(-5)*30/f is divided by 14.
11
Suppose -8 - 18 = -2*h. Suppose 2*z = 22 + 48. Let a = z - 28. Calculate the remainder when h is divided by a.
6
Let q = 351 - 253. Calculate the remainder when q is divided by 27.
17
Let r(u) = 32*u - 21. Calculate the remainder when r(1) is divided by 7.
4
Let l = 817 + -651. Calculate the remainder when l is divided by 12.
10
Let c(z) = z + 17. Let h(l) = -l**3 + 11*l**2 - 6*l + 2. Calculate the remainder when h(8) is divided by c(20).
35
What is the remainder when 63 is divided by 4/18 - 750/(-27) - 2?
11
Let c(t) = 2*t**2 + 4*t - 26. Let d be c(5). Let z = 72 - d. What is the remainder when z is divided by 20?
8
Let v(f) = f**3 + 11*f**2 + 8*f - 14. Suppose -2*o - 8 = -4*o. Suppose 5*g = -o*w + 55, 4*w = -0*w - 20. What is the remainder when g is divided by v(-10)?
3
Suppose -1224 = -4*y - 20*y. What is the remainder when y is divided by 14?
9
Let l = 9 - 33. Let o be 4/32 - 45/l. Suppose 5*y = -g + o, -4*g + 29 = -2*y + y. Calculate the remainder when g is divided by 4.
3
Suppose 2*d + o = -3*o - 46, 4*d = -3*o - 77. Let f(v) = -v**3 + v**2 + v + 32. Let s be f(0). Let t = d + s. What is the remainder when 29 is divided by t?
14
Let s(j) = j**3 + 6*j**2 - 6*j + 4. Let q be 8/(-20) - 23/5. What is the remainder when s(q) is divided by 31?
28
Let b(c) = -c**3 - 5*c**2 - 6*c + 8. Let j be b(-6). Let m = j - 70. Calculate the remainder when 17 is divided by m.
7
Suppose 0 = -b + 5*a + 79, 11*b + 4*a = 9*b + 102. Calculate the remainder when 108 is divided by b.
49
Let o = -2143 - -2155. Calculate the remainder when 44 is divided by o.
8
Let o = 1027 + -1013. What is the remainder when 58 is divided by o?
2
Suppose h + 5*f = -11 + 35, 2*f = 0. Suppose 0 = 4*v + v + 2*i - 714, 3*v + 3*i = 432. What is the remainder when v is divided by h?
22
Suppose 18*y + 259 = 19*y. Calculate the remainder when y is divided by 88.
83
Let s(l) = 7*l + 299. Calculate the remainder when 442 is divided by s(-22).
7
Suppose q + 6 = 4*q. Suppose -4*o - 4*w + 164 = 0, 3*w - 7*w = q*o - 80. Calculate the remainder when o is divided by 22.
20
Let g = 39 + -32. Let q = g + 5. Suppose 5*p + 3*i - 5 - 112 = 0, -4*i + 121 = 5*p. Calculate the remainder when p is divided by q.
9
Suppose 7*h + 4*q - 144 = 3*h, 2*q = -4*h + 154. Calculate the remainder when 243 is divided by h.
38
Suppose 3*n - 129 = 294. Let o = n - 101. What is the remainder when 153 is divided by o?
33
Suppose 2*v = f + 21, v - 5 - 1 = -4*f. What is the remainder when 23 is divided by v?
3
Let a be 2/3 + 264/9. Let m = 96 + a. Suppose 0 = 3*b - 9 - m. What is the remainder when b is divided by 23?
22
Suppose -13*u - 9909 = -40*u. What is the remainder when u is divided by 74?
71
Let n = -3 - -14. Suppose 2*b + 44 = 132. Let x = -3 + b. Calculate the remainder when x is divided by n.
8
Let p(r) = 6*r + 18. What is the remainder when 32 is divided by p(-2)?
2
Suppose 56*d - 1354 = 22782. Calculate the remainder when d is divided by 26.
15
Suppose -6715 + 2147 = -8*j. What is the remainder when j is divided by 22?
21
Let v be 3 + (0 - -5)*6/30. Suppose k - 47 = v*j, -2*j = k + 2*j - 71. Calculate the remainder when k is divided by 220/15 - (-2)/6.
14
Suppose 0 = -2*k - 45 + 41, -78 = -d + 2*k. What is the remainder when 289 is divided by d?
67
Let x(w) = 32*w**3 - 2*w**2 + 2*w - 1. Let j be ((-23)/(-3))/(2/(-6)). Let u = 24 + j. What is the remainder when x(u) is divided by 16?
15
Suppose 0 = 3*c - 2*c - 10. Suppose j + 222 = -5*s + s, s - 3*j = -49. Calculate the remainder when (-4)/(-8) - s/2 is divided by c.
8
Let k be ((-28)/12 + 2)*3. Suppose j + 2*j - 90 = 0. Calculate the remainder when 1*117 + k + 3 is divided by j.
29
Suppose -41*t + 20*t + 1344 = 0. Calculate the remainder when 381 is divided by t.
61
Let g = 174 - 122. Let s(p) = -p**2 + 7*p + 9. What is the remainder when g is divided by s(5)?
14
Suppose -3*j = 5*k - j + 26, -3*k - 9 = -j. What is the remainder when -5 - -3 - 4/k*33 is divided by 11?
9
Suppose -4*b + 5*v + 158 = 45, b - 5*v - 32 = 0. Suppose -39 = -4*s + 13. Suppose -k + 3*d + s = 4*d, -4*d = -12. What is the remainder when b is divided by k?
7
Suppose -g = -0*g. Let s(r) = r**2 + r + 42. What is the remainder when s(0) is divided by 2/(2/11 - g)?
9
Let j be -2 - (2 - 8) - -406. Suppose 7*z - j - 507 = 0. Calculate the remainder when z is divided by 33.
32
Let d(s) = 2*s + 12. What is the remainder when 169 is divided by d(11)?
33
Suppose -4*t + 3*q + 488 + 222 = 0, -4*t + 712 = -2*q. Calculate the remainder when t is divided by 66.
47
Let i = 99 + -97. Suppose 5*n - i*w = -w + 529, -226 = -2*n + 4*w. What is the remainder when n is divided by 12?
9
Let c(w) = w**3 + 15*w**2 + w + 43. Calculate the remainder when 307 is divided by c(-15).
27
Let f(m) = 12*m**2 - 51*m + 41. What is the remainder when f(6) is divided by 21?
20
Suppose r = -3*r. Suppose -5*z - 9 + 4 = r. What is the remainder when 0 + z - -68*1 is divided by 14?
11
Suppose j + 2*j = 30. Let c(f) = -f**3 + 18*f**2 + f - 15. Let h be c(18). What is the remainder when j is divided by 4 + 2 + 2 - h?
0
Let q(c) = 32*c + 560. Calculate the remainder when q(-6) is divided by 77.
60
Suppose 27*f - 28*f = 3*m - 60, -m - 99 = -2*f. What is the remainder when f is divided by ((-54)/(-2))/(0 + 1)?
24
Suppose -3 - 3 = -v. Suppose -96 = -4*d + 3*q, -2*d + 38 = 4*q - 3*q. What is the remainder when d is divided by v?
3
Let h be -3 - -2*46/4. Suppose -3*l - 115 = -8*l - 5*f, -4*f - h = 0. Calculate the remainder when 80 is divided by l.
24
Suppose -5*m = -214 - 81. Let n = m - 52. What is the remainder when 18 is divided by n?
4
Let l(a) = -10*a - 8. Let t be l(-2). Suppose p + 5*j = 16, -3*j = 4*p + t - 76. What is the remainder when 1*-61*1/(-1) is divided by p?
13
Let g(r) = r**3 + 2*r**2 + 35*r + 17. Calculate the remainder when g(6) is divided by 35.
25
Suppose -3*h + 0 - 9 = 0, 0 = -4*n + 5*h + 115. Calculate the remainder when n is divided by 14.
11
Let j be -1 + (-1432)/(-14) + 34/(-119). Let l = j + -61. Calculate the remainder when l is divided by 15.
10
Let f = 9 + -7. Suppose 4*m - 20 = -4*c, 3*c + 16 = f*m - 14. Suppose 0 = 4*v - m*v + 55. What is the remainder when v is divided by 3?
2
Let l = 819 + -508. What is the remainder when l is divided by 83?
62
Let c(x) = -x + 3. Let p be c(-1). Suppose 2*q - 4*b - 72 = 0, -4*q = -5*q - p*b + 60. Calculate the remainder when q is divided by 12.
8
Let n = 552 + -479. What is the remainder when n is divided by 2?
1
Let n(y) = 2*y**3 - 2*y**2 + y - 2. Suppose 0 + 2 = f. Suppose 4*z + 7 = -74*v + 71*v, 0 = -5*z + 2*v + 20. Calculate the remainder when n(f) is divided by z.
0
Suppose -6*w + 580 = -494. Calculate the remainder when w is divided by 18.
17
Suppose -21*k + 2301 = 684. What i