 - 180, 4*w + 390 = 8*w + 2*f. What is the remainder when w is divided by 61?
39
Suppose 0 = -p + 5*c, 3*p - 19 = -5*c + c. Suppose 0*z + 52 = 2*l + p*z, -3*z = 2*l - 48. What is the remainder when 60 is divided by l?
18
Let z = 20 - 8. Suppose -p + z = 2*p. Let i(l) = 3*l - 4. Calculate the remainder when 14 is divided by i(p).
6
Suppose -573 = -v - 2*v + 3*x, -x = -5*v + 951. What is the remainder when -1*v/25*-5 is divided by 10?
8
What is the remainder when 65 is divided by (24/(-9))/(-4)*(-204)/(-8)?
14
Suppose 0 = 6*x - 258 + 30. Let c = -241 - -429. Calculate the remainder when c is divided by x.
36
Let i(k) = -k**3 + 15*k**2 + 126*k + 12. Calculate the remainder when i(-6) is divided by 8.
4
Let z be 144/27*(-174)/(-4). Suppose 6*j + 2*j - z = 0. Calculate the remainder when 114 is divided by j.
27
Let t = 456 - 447. Suppose r + 3*r - 14 = 2*h, 3*h - 3*r + 6 = 0. What is the remainder when t is divided by h?
0
Let h(c) = 40*c + 296. What is the remainder when 173 is divided by h(-6)?
5
Suppose 0 = 5*g + 5*v - 15, 2*v = 3*g - 14. Let f(q) = -q**3 + 4*q**2 + 3*q - 3. Let d(i) = -3*i - 31. Calculate the remainder when d(-21) is divided by f(g).
5
Let u(i) = 20*i**3 - 2*i**2 + 6*i - 1. Let d be u(2). Suppose 41 = w + 2*x - 4*x, 4*x = -5*w + d. Calculate the remainder when w is divided by 19.
16
Suppose 0 = 4*q + 2*s - 76, -5*q + 96 = s + 2*s. What is the remainder when 34 is divided by q?
16
Let f = -689 - -215. What is the remainder when (7/2 - 3)/((-3)/f) is divided by 40?
39
Let c(g) = -g**3 - 13*g**2 + 12*g + 3. What is the remainder when c(-14) is divided by 4?
3
Suppose -49*h = -66*h + 1428. What is the remainder when 414 is divided by h?
78
What is the remainder when 3 + (-868)/(-21) - (-4)/6 is divided by 25?
20
Let p(a) = 3*a - 6. Let b(d) = d**3 - 33*d**2 - 32*d - 24. Calculate the remainder when b(34) is divided by p(7).
14
Let s(b) = -10*b + 660. Calculate the remainder when 80 is divided by s(61).
30
Suppose 529*m = 523*m + 144. What is the remainder when m is divided by 8?
0
Let f(n) = 26*n**2 - 2*n - 1. Suppose -2*q = 5*v - 5 - 24, 5*v - 1 = 2*q. What is the remainder when f(-1) is divided by q?
6
Let y be (-42 + -2)*1/6*-3. Let s(m) = m**2 + m + 41. Let k be s(0). Let w = k - y. Calculate the remainder when w is divided by 11.
8
Let a(b) = -21*b - 3. Suppose -4*g + 1 = 4*u - g, g - 15 = -5*u. Let d be a(u). Let v = -58 - d. What is the remainder when 57 is divided by v?
28
Let t(a) = 1 - 11*a + 10*a**3 - 13*a**3 - 4*a**2 + 4*a**3 + 0. What is the remainder when 47 is divided by t(6)?
5
Let n be -2*(16/(-56) - 319/(-14)). Let y = 77 + n. What is the remainder when y is divided by 11?
10
Suppose -21*p + 1026 = -3*p. What is the remainder when p is divided by 22?
13
Suppose 12*i - 35 = 13*i. Let z = i + 35. Calculate the remainder when 29 is divided by 85/5 + (-1 - z).
13
Let w(j) = 2*j + 43. Suppose -4 + 42 = -2*s. Let l be w(s). What is the remainder when (-269)/(-5) + l/25 is divided by 28?
26
Suppose 242*m = 239*m + 546. What is the remainder when m is divided by 46?
44
Let d(m) = m**2 + 6*m + 14. Let p(b) = -2*b**2 - 13*b - 28. Let a(g) = -7*d(g) - 4*p(g). What is the remainder when 69 is divided by a(-10)?
13
Let w(y) = -15*y**3 - 12*y**2 + 2*y. Calculate the remainder when 182 is divided by w(-2).
46
Suppose 6*w + 2*l + 100 = 2*w, -2*w = 2*l + 50. Let i = -446 + 442. Calculate the remainder when 18 is divided by i/5*w/2.
8
Let g(x) = 3*x**2 - 16*x + 9. What is the remainder when 523 is divided by g(6)?
19
Let k(o) = o**3 + 7*o**2 + 16*o + 13. Let b be k(-6). Let a = 16 - b. Let v(j) = 23*j**2 - 2*j + 1. Calculate the remainder when a is divided by v(1).
19
Let t = 694 + -431. Suppose 4*y = 5*y - t. Suppose h + h - 49 = -a, -5*a = h - y. Calculate the remainder when a is divided by 19.
15
Suppose -328 = -6*p + 2*p. Calculate the remainder when p is divided by 45.
37
Suppose 42 - 22 = i. What is the remainder when 177 is divided by i?
17
Let o(c) = 9*c**3 - 2*c**2 - 2*c + 2. Calculate the remainder when -2 - (-4807)/38 - (-10)/(-4) is divided by o(2).
60
Suppose m = 4*m - 21. What is the remainder when 12/8*10*m is divided by 12?
9
Let f = 234 + 12. Calculate the remainder when f is divided by 21.
15
Suppose -3*j - 56 = -4*i, -2*j = i - 4*j - 9. What is the remainder when (-792)/(-16) + (-2)/4 is divided by i?
15
Suppose -3*g + 395 = -5*y - 8*g, -4*y - 325 = -5*g. Let r = y + 55. Let t = -14 - r. What is the remainder when 32 is divided by t?
10
Let c(q) = 2*q**2 - 18*q + 55. What is the remainder when c(13) is divided by 81?
78
Suppose -11 + 31 = 5*c. Suppose -5*m = 5*y - 90, c*y + 122 = 4*m + 26. Calculate the remainder when m is divided by 8.
5
Let l(j) = -j**3 + 13*j**2 - j - 12. Let d be l(13). Let s = -25 - d. Suppose s = i + i - 98. What is the remainder when i is divided by 26?
23
Calculate the remainder when 76 is divided by 27 - 1/(-3)*3 - 4.
4
Suppose 5*c - i = c + 312, -2*i = -c + 78. Suppose -7 + 1 = 2*o. What is the remainder when c is divided by (-3)/((-9)/51) - o?
18
Let r = 935 - 886. Calculate the remainder when r is divided by 20.
9
What is the remainder when (-1 + (-14)/4)*1050/(-63) is divided by 14?
5
Suppose 0 = 2*q - 8, 43*g = 42*g - q + 2972. Calculate the remainder when g is divided by 27.
25
Let x = -42 - -103. What is the remainder when x is divided by ((-4)/(-12)*-1)/(10/(-270))?
7
Let r(a) = -a**3 + 20*a**2 + 23*a - 24. Suppose -7 = -v + 14. Calculate the remainder when 87 is divided by r(v).
15
Suppose 2*b - 1 = -3*y, y - 4*b = -0*b + 19. Suppose y*a - 4*a = -8. Calculate the remainder when a is divided by 3.
2
Let g(p) = p**3 + 9*p**2 + 11*p - 16. Suppose 0 = -4*r - f + 69, 21 = r - 3*f - 6. What is the remainder when r is divided by g(-7)?
3
Suppose 2*p + 3*a = 6, -2*p + 4*a + 10 = -10. Suppose 65*n + 474 = 1189. Calculate the remainder when n is divided by p.
5
Let z = 105 + -107. Let h(d) = -5*d**3 - 4*d**2 - 6*d - 7. What is the remainder when h(z) is divided by 11?
7
Suppose 0 = -2*g + 5*r + 206, -20*g - 3*r + 557 = -13*g. Calculate the remainder when g is divided by 0 + 0 + 21 + 1.
17
Calculate the remainder when 98*(1 - 11/(-2)) is divided by 10.
7
Let u(o) = 15*o + 6. Let w(f) = -f - 4 - 10 + 2*f + 13. Let a(k) = u(k) + 6*w(k). What is the remainder when 41 is divided by a(1)?
20
Let p(x) = x + 14. Let d be -1 - (-2)/(-1) - 3. Let g be p(d). Calculate the remainder when 39/52 + 170/g is divided by 6.
4
Let z = -230 + 331. Suppose 5*q = -5*d + 125, d = -5*q + 4*d + z. Let p = 9 - -3. Calculate the remainder when q is divided by p.
10
Suppose -6*q + 9 = -9*q. Let d = -4 - q. What is the remainder when 11 is divided by d/(-1 - 12/(-16))?
3
Calculate the remainder when (-90)/(-495) - 2438/(-22) is divided by 14.
13
Calculate the remainder when -20*-26*(-1)/(-8) is divided by 47.
18
Suppose 0 = -5*v + 10, 3*v + 28 = 2*m + 18. Calculate the remainder when 247 is divided by m.
7
Let q be (10/(-6))/((-40)/48). Suppose -q*r + 49 = b, -4*b + r + 18 + 178 = 0. Calculate the remainder when b is divided by 25.
24
Suppose 0*x + 2*x = -8. Let f be 2*-28 - (5 + x). Calculate the remainder when 77 is divided by f/(3/(-1)) + 1.
17
Let r(d) be the first derivative of -d**4/4 - 2*d**3/3 + d**2 - 2*d + 4. What is the remainder when r(-4) is divided by (-6)/(-12)*(14 + -2)?
4
Suppose 0 = 13*n - 12*n - 2, -n - 20 = -f. Let o be 4/((2/5)/(-1)). Calculate the remainder when 4/o + 854/10 is divided by f.
19
Let o(n) be the first derivative of n**4/4 - 4*n**3/3 - 4*n**2 - 11*n + 15. Calculate the remainder when 1/(-1) - (1 + -25) is divided by o(6).
10
Let m = -169 - -120. Let x = m - -94. Suppose 0 = -0*p + 5*p - x. What is the remainder when 16 is divided by p?
7
Suppose -4*k - 56 = -5*x + 100, 0 = -2*x - 4*k + 68. Calculate the remainder when x is divided by 27.
5
Suppose -4*b - 6*m + 2 = 8, -5*b - 2*m = -20. Suppose -3*x - x = 20. Let d(v) = 2*v**2 + 6*v + 1. What is the remainder when d(x) is divided by b?
3
Let i(c) = 4*c**2 - 16*c - 45. What is the remainder when 66 is divided by i(7)?
27
Suppose 8*v = 3*v + 220. Calculate the remainder when 148 is divided by v.
16
Let c(h) = 6*h**2 - 7*h + 13. Let z be (-1 - -3) + -3 + 4 + 0. Calculate the remainder when c(z) is divided by 16.
14
Let o(f) = 27*f*