 2*f - 5*f + 5*m = 1, -2*f = -4*m + v. Suppose -3*i = -f*i + 35. Calculate the remainder when i is divided by 3.
1
Suppose 148 = 6*p - 2. Calculate the remainder when 123 is divided by p.
23
Let m = -161 - -151. Suppose -v - 5*j - 22 = 0, 5*v - 2*j - 1 = -3. Let x = v - m. Calculate the remainder when 14 is divided by x.
6
Suppose -3*s - 825 = -3*t, 3*t - s = 7*t - 1120. Suppose 5*p + 2*i = 549, -3*p + t = -i - 57. Calculate the remainder when p is divided by 16.
15
Suppose -m + 4*z - 5*z = 45, 3*m + 5*z + 145 = 0. Calculate the remainder when 2*(-5)/m - (-350)/8 is divided by 9.
8
Let r be (-15 + 0)/((-56)/52 - -1). Suppose 15*t = 10*t + r. Calculate the remainder when t is divided by 10.
9
Calculate the remainder when 20 is divided by -2 - -5 - (-3 - -1).
0
Suppose -3*a = -0*a + 3*s - 135, 33 = a + 4*s. Calculate the remainder when 144 is divided by a.
46
What is the remainder when -8*3/6 + 153 is divided by 51?
47
Let o(w) = -w**2 + 11*w + 6. Let k be ((-9)/(-18))/((-2)/(-32)). What is the remainder when 87 is divided by o(k)?
27
Suppose -y + 132 = -4*y. Let w = y + 76. Let f = w - -5. What is the remainder when f is divided by 10?
7
What is the remainder when 244 is divided by 20/(-3)*(-1305)/174?
44
Let a(w) = 2*w**2 - 13*w + 24. Let h(d) = 3*d**2 - 14*d + 24. Let t(v) = -5*a(v) + 4*h(v). What is the remainder when t(-9) is divided by 32 + (1 - 2) + -1?
27
Let q(n) = -n**2 - 8*n + 4. Let y be q(-6). Suppose 0*z - 4*z = -y. Suppose -c = 2*w + z*c - 43, -c + 41 = 4*w. Calculate the remainder when 34 is divided by w.
7
Let h = -1 + 2. Let t be h/(0 + 1/(-21)). Calculate the remainder when 21 is divided by (-74)/(-7) + (-9)/t.
10
Let y(q) = -11*q - 49. Calculate the remainder when y(-15) is divided by 17.
14
Let b = 146 - 216. Let v = -39 - b. What is the remainder when 61 is divided by v?
30
Suppose 1373 = 15*t - 802. Calculate the remainder when t is divided by 31.
21
Let b(j) = j**3 + 12*j**2 + 10*j + 7. Calculate the remainder when b(-10) is divided by 107.
0
Suppose 0 = 2*u - 0 + 10, 4*u = 5*l - 145. Suppose -2*o + 183 = -5*p, 97 = -4*p + 2*o - 51. Calculate the remainder when l is divided by (-126)/(-10) + (-14)/p.
12
Let z be 4/6 + 14/6. Suppose 14 = z*b - 235. Calculate the remainder when b is divided by 21.
20
Suppose -4*v + 0*v + 992 = 9*z, -212 = -2*z - 3*v. What is the remainder when 661 is divided by z?
101
Let t = -2119 + 2121. What is the remainder when 8 is divided by t?
0
Let f = 36 - 51. Let v = f - -36. Calculate the remainder when v is divided by 11.
10
Let v be (-2)/2*(-42 + -1). Suppose -5*c - 3*b = 69, 2*b - 13 + v = -2*c. What is the remainder when ((-164)/6)/(4/c) is divided by 28?
26
Suppose 0 = 3*z + z - 64. Calculate the remainder when 1*-2 + 23546/305 + (-1)/5 is divided by z.
11
Suppose -4*n = 4*o - 604, -20*o + 8 = -24*o. Calculate the remainder when n is divided by 6.
3
Suppose 29 - 11 = l + 2*h, -3*h = -l + 23. Suppose 0*i = i - 35. What is the remainder when 182/i*l/2 is divided by 27?
25
Let p = 64 - 33. Let c(j) = -j + 90. Calculate the remainder when c(0) is divided by p.
28
Let d be -6*(-1)/1 + -3. Suppose r + 193 = 4*h, -7*h + d*r = -2*h - 250. Suppose 4*l = 135 - h. What is the remainder when l is divided by 12?
10
Let g(j) = -9*j**3 - 6*j**2 + 2*j - 1. What is the remainder when g(-3) is divided by 37?
34
Suppose 93 = -4*f + 173. Calculate the remainder when 62 is divided by f.
2
Let s = -1 - -2. Let k be (-3)/12 - s/(-4). Let l = 3 + k. Calculate the remainder when 6 is divided by l.
0
Let m(t) = -125*t + 128. Calculate the remainder when m(-6) is divided by 11.
9
Let y(z) = -z**2 + 10*z - 11. Let v(q) = q**2 - q - 12. Let n(u) = 1. Let i(g) = -3*n(g) - v(g). What is the remainder when i(0) is divided by y(8)?
4
Suppose 15 + 5 = 5*i. Suppose -i*j + j = -93. What is the remainder when j is divided by 11?
9
Calculate the remainder when 141 is divided by (-2 - -5)/(-18*(-9)/864).
13
Suppose -q + 3*i + 60 - 8 = 0, 5*q - 4*i = 315. What is the remainder when 142 is divided by q?
8
Let x be ((-12)/14)/((-6)/630). Suppose 3*p = -p - o + x, -4*o + 8 = 0. Calculate the remainder when p is divided by 7.
1
Let x(c) = 57*c - 20. Calculate the remainder when x(6) is divided by 19.
18
Suppose 0 = 231*m - 262*m + 961. What is the remainder when 52 is divided by m?
21
Suppose 5 = -r + 10. Calculate the remainder when 15 is divided by r.
0
Suppose -6*i = -7*i + 14. Suppose -8 = q + 2*u, q - 2*u = -0*q + 12. Calculate the remainder when i is divided by q.
0
Suppose 6 = p + 2*p. What is the remainder when 24 is divided by (2 - 1) + p*6?
11
Let z be -3*3/18*(-30 - -2). Suppose 2*m - 2*u - u - 21 = 0, m - 5*u = z. What is the remainder when 62 is divided by m?
8
Let l = 11 + 7. Suppose 5 = -r + f, 3*f = r - f + 14. Calculate the remainder when ((-4)/20)/(r/530) is divided by l.
17
Let h(q) = 2*q + 19. Let m be h(13). Suppose 3*s - 120 = -2*s. Let b = m - s. Calculate the remainder when b is divided by 12.
9
Let g(h) = -2*h - 32. Let a = -1 + 5. Calculate the remainder when a - (-1 - 0)*2 is divided by g(-18).
2
Suppose -4*x - 407 = -3*a, -a + 5*x = 7*x - 129. Calculate the remainder when a is divided by 41.
10
Suppose 3*r - 7 = 29. Suppose 10*w = 9*w + r. What is the remainder when (-20)/6*w/(-5) is divided by 3?
2
Let f = -2 + 27. Let n(k) = k**3 + 10*k**2 + 9*k + 4. What is the remainder when ((-20)/(-25))/(2/f) is divided by n(-9)?
2
Suppose 3*i = 7*i - 120. Suppose -100 - 56 = -4*z. Let b = z - i. What is the remainder when 22 is divided by b?
4
Let s = -18 - -71. Suppose 3*a + 12 = 0, 0 = -0*z + z + a - 15. What is the remainder when s is divided by z?
15
Suppose -9*p - 4*b = -10*p + 81, 2*p - 150 = -4*b. Calculate the remainder when p is divided by 21.
14
Let z(u) = 2*u + 5. Let o(a) = -5*a - 29. Calculate the remainder when z(12) is divided by o(-8).
7
Let y = 1909 - 1870. What is the remainder when 2612 is divided by y?
38
Suppose 3*s + 27 = 6*s. Suppose 5*d = 4*d + s. What is the remainder when -2 + (26 - 0) + 0 is divided by d?
6
Let l(n) = -n**3 + 4*n**2 - 2*n + 3. Let f be l(3). Suppose 0 = -4*c + 50 + f. Calculate the remainder when (-25)/(-15)*27 + 1 + -5 is divided by c.
13
Let t(o) = 8*o**2 + 7*o - 9. Let j be t(3). Suppose 0*m - j = -4*m. What is the remainder when 59 is divided by m?
17
Let f(m) = -3*m**3 - 9*m**2 + 3. Let t be f(-6). Suppose -4*z + 5*p - 289 = 370, -t = 2*z - 3*p. What is the remainder when (2/(-6))/(3/z) is divided by 11?
8
Suppose -155*u + 152*u - 2*r = -139, -u - 4*r = -43. What is the remainder when 91 is divided by u?
44
Let i = -21 - -35. Let s(x) = -x**3 + 15*x**2 - 15*x + 9. Let y be s(i). What is the remainder when y/(-10)*6 + -2 is divided by 1?
0
Let h(j) = -5*j**3 - j**2 - 3*j - 2. Let z be h(-1). Calculate the remainder when z - 3*(-4)/6 is divided by 4.
3
Let s = -10 + 78. Let t = 75 + -75. Suppose 18 = -t*v + v. Calculate the remainder when s is divided by v.
14
Let o be 2 - 0/(2/(-2)). Suppose 3*t + 60 = -5*p, 4*p + 40 = -2*t - o. Calculate the remainder when 131 is divided by (33/5)/((-3)/t).
32
Let s(h) = -25*h - 375. What is the remainder when 79 is divided by s(-17)?
29
Suppose s - 2*j = 49, -2*s - 4*j = -45 - 37. What is the remainder when s is divided by 24?
21
Let q = 302 - -14. What is the remainder when 26 is divided by q/20 - 4/(-20)?
10
Suppose -52 = -5*o + 2*v, -4*v - 1 - 3 = 0. Suppose 3*w - o = 44. Calculate the remainder when w is divided by 10.
8
Suppose -k + v = -4, -4*v + 0 = 2*k + 4. Suppose -k*t - 3*b - 125 = 0, 3*t + 186 = -0*t - 5*b. Let i = t + 106. Calculate the remainder when i is divided by 14.
11
Let c(q) = q**3 + 9*q**2 + 3*q - 4. Let d be c(-7). Let h = 9 + d. What is the remainder when h is divided by 14?
12
Let d be 14/(-8)*-2*-22. Let m be 678/22 - 14/d. Let b = m - -45. What is the remainder when b is divided by 13?
11
Let k(h) = -3*h**3 - h. Let b be k(-2). Let u = b + -11. What is the remainder when 88 is divided by u?
13
Let d be 4/5*(5 + (-50)/(-1)). Let t = d - 41. Calculate the remainder when 4 is divided by t.
1
Suppose -4*k + 20 = 4*h, -5*h + 4*k + 8 = -26. Suppose -3 = a - h. What is the remainder when 9 is divided by 9 + (-6 - -3) - a?
0
Let x be (-3 + (-42)/(-8))*-52. Let c = 166 + x. Suppose -4*q = -8*q + 5*s + 68, 0 = 4*