ppose 0 = -f + 7 - 2. Suppose -f*l + i + 7 = 0. Calculate the remainder when l is divided by 5.
3
Let s = 959 + -881. Calculate the remainder when 303 is divided by s.
69
Let o = 77 + -137. Let x = -17 - o. Calculate the remainder when x is divided by 15.
13
Suppose -4*u + 4 = 2*q, 2*u + 4 = 5*q - 3*q. Suppose u = -2*k - 3 - 5. What is the remainder when 30 is divided by 13 + 3 + -1 + k?
8
Suppose -150 = 158*x - 161*x. What is the remainder when 698 is divided by x?
48
Let s = 1878 - 1842. What is the remainder when s is divided by ((-6)/(-4))/((-3)/(-20))?
6
Let w(i) = -8*i + 4. Let z(o) = 2*o - 1. Let d(b) = -6*w(b) - 22*z(b). What is the remainder when 47 is divided by d(3)?
7
Suppose -1 = 3*r - 2*i, i = r - 2*i + 12. Suppose z + 36 = -r*z. Let b = 13 + z. Calculate the remainder when b is divided by 2.
0
Let z(j) = -j**2 - 75*j + 548. Calculate the remainder when z(-50) is divided by 90.
88
Let a(t) = -6*t - 150. Calculate the remainder when a(-69) is divided by 19.
17
Suppose 10*m = 285 - 205. Suppose -x - 79 = -5*v - 3*x, x - 62 = -4*v. Calculate the remainder when v is divided by m.
7
Let h = 8 + 47. What is the remainder when h is divided by 19?
17
Suppose 29 = -g + 3*p, 63 = 3*g - p + 174. Let c = 22 + g. Calculate the remainder when 1/2 - 1224/c is divided by 26.
25
Let c = 82 - 32. Let a(y) = -2*y**2 - 26*y + 13. Calculate the remainder when c is divided by a(-13).
11
Let i(l) = -2*l - 3. Let d(x) = -3*x**2 - 2*x**2 - 13*x + 2*x + 4*x**2 + 34. Let c be d(-14). Calculate the remainder when i(c) is divided by 8.
5
Suppose -t = 3*t - i - 11, 4*i + 2 = -5*t. Let g = 0 - 0. Suppose g = -q + 2*j + 31, 46 = t*q - q - 5*j. Calculate the remainder when q is divided by 11.
10
Let i(w) = 8*w**2 - 9*w + 7. Let l be i(3). Let s(n) = 2*n**3 - 2*n**2 + n - 1. Let c be s(4). Let d = c - l. What is the remainder when d is divided by 24?
23
Let z = -70 + 73. Suppose 0 = 2*c + z*u - 105, 2*c - 5*u = -14 + 95. What is the remainder when c is divided by 10?
8
Suppose 0 = -5*b - 2*s - 80, -2*b + 0*s - 51 = -3*s. What is the remainder when 79/(3/1 - b/(-9)) is divided by 20?
19
Let w be 4/(-14) + 684/(-7). Suppose -292 - 398 = 10*h. Let s = h - w. What is the remainder when s is divided by 6?
5
Suppose -3*z - 18 - 24 = 0. Suppose 20 - 70 = -4*k + r, 13*k + 4*r - 148 = 0. What is the remainder when k is divided by (-66)/z + (-6)/(-21)?
2
Suppose -s + 2*s + 11 = 4*f, -34 = -s - 5*f. Suppose -101 - 49 = -3*p. Suppose q - p = -q. What is the remainder when q is divided by s?
7
Let n(f) = -2*f**2 - 37*f - 67. Calculate the remainder when n(-15) is divided by 15.
8
Suppose -49*c = -53*c. Suppose c = -4*u - q + 389, 4*u - 3*q - 192 - 209 = 0. What is the remainder when u is divided by 25?
23
Suppose 150 - 48 = 3*r. Let v = -5 - -7. Suppose 2*i + 2*i + v*s = r, i - 3*s = 5. What is the remainder when 29 is divided by i?
5
Let b(v) = 14*v**3 + 2*v**2 + v + 3. Let r be 1 + -2 - -7 - 4/1. Calculate the remainder when b(r) is divided by 21.
20
Suppose 0*o - o = -5. Suppose 4*q = o*h + 51, 2*h - h = 3*q - 30. Let p = q - -5. What is the remainder when 40 is divided by p?
12
Let q(d) = -13*d - 1. Let j be q(-9). Suppose 5*x = j - 41. What is the remainder when 56 is divided by x?
11
Suppose 2*x = 4*x - 50. What is the remainder when 108 is divided by x?
8
Suppose 11*p = 2766 + 3922. Suppose 0 = -10*n + 29*n - p. Calculate the remainder when n is divided by 19.
13
Let w(y) = -y**3 + 12*y**2 - 8*y - 6. Let d = -5 - -16. What is the remainder when 80 is divided by w(d)?
26
Let p(l) be the first derivative of -1/4*l**4 + 0*l**2 - 3*l + 1/3*l**3 - 1. Calculate the remainder when 15 is divided by p(-2).
6
Let i(r) = 3*r**2 + 1. Let c be i(-1). Suppose 42 = -2*t + c*t. Calculate the remainder when 80 is divided by t.
17
Let v(o) = 14*o**2 - 11*o + 18. Calculate the remainder when v(4) is divided by 20.
18
Calculate the remainder when 153 is divided by (0 + -8)*2*6/(-3).
25
Let v(p) = -p**3 - p**2 + 17. Let l = 11 + 56. What is the remainder when l is divided by v(0)?
16
Let a(h) = -h**2 + h + 45. Calculate the remainder when a(-6) is divided by 3.
0
Let m(c) = -c**3 + 13*c**2 - 6*c + 9. Let d be m(6). Suppose -2*l + 5*u = -171, 5*l - 3*u - 333 = 47. Calculate the remainder when l is divided by 2*(d/2)/9.
23
Let k(c) = -c**2 - 12*c + 4. Let p be k(-6). Suppose -w + d = 3*w - 145, d = w - p. Calculate the remainder when w is divided by 18*(-3)/(-66)*11.
8
Let s = -77 - -166. Let l = s - 47. Calculate the remainder when 208 is divided by l.
40
Let h = -200 - -226. Calculate the remainder when h is divided by 13.
0
Suppose -4*w + 2 = 2*p + 8, -2*w + p = 5. What is the remainder when 158 is divided by w + 38 - (-1 + 5)?
30
Suppose 0*c - 355 = -2*i + 3*c, 2*i = -4*c + 362. Let q(m) = 11*m + 1. Calculate the remainder when i is divided by q(4).
44
Suppose 0 = 4*g - n - 559, -6*n = 4*g - 2*n - 564. What is the remainder when g is divided by 31?
16
Let f = 44 - 31. Let h(z) = z**3 + 8*z**2 - 9*z + 3. Let o be h(-9). Suppose 6*s = 2*s, 3*w + o*s = 24. What is the remainder when f is divided by w?
5
Suppose 0 = 17*f - 3*f - 98. What is the remainder when 37 is divided by f?
2
Suppose 0 = -2*h + 5*h - 36. Suppose 0 = -3*p - 3*y - 9, 4*p + p + 3*y + 23 = 0. Let z(v) = v**2 + 5*v + 9. Calculate the remainder when z(p) is divided by h.
11
Let f(m) = -m + 15. Let p be f(11). Suppose p*s = s + 102. Suppose 59 = 5*k - 1. Calculate the remainder when s is divided by k.
10
Suppose 2*k = -3*c + 161, -c - 2*k + 73 = 18. What is the remainder when 739 is divided by c?
50
Let p(r) = -3*r - 29. Suppose -5*u = -0*j + 3*j + 49, 19 = -j - 3*u. What is the remainder when 18 is divided by p(j)?
8
Let c = 23 - 20. Let g = -31 - -45. What is the remainder when (-4)/(48/(-164))*c is divided by g?
13
Suppose -5*t - x = -t - 305, 2*t - 145 = x. What is the remainder when t is divided by 8?
3
Suppose -39*v - 7*v + 276 = 0. Calculate the remainder when v is divided by 2.
0
Suppose 2502 = 69*t - 63*t. What is the remainder when t is divided by 84?
81
Suppose 0 = -d - 2 + 13. Suppose -3*x - 52 = -2*i, -160*i + 157*i - 2*x + 52 = 0. Calculate the remainder when i is divided by d.
9
Let w(c) = -c**3 + 9*c**2 + 11*c - 5. Let k be -2*(-6 - -1) - 0. What is the remainder when 13 is divided by w(k)?
3
Suppose -160*m + 144*m + 448 = 0. Let f(o) = -2*o**2 + 7*o**2 + 0*o - 4*o + 3. Calculate the remainder when m is divided by f(2).
13
Let f(p) = -p**2 + 9*p + 11. Let b(t) = t**3 - t**2 + 5*t - 4. Calculate the remainder when f(8) is divided by b(2).
9
Suppose -a + 29 + 277 = 0. Suppose -190 = -3*k - 4*g, -35*k - g = -30*k - 311. What is the remainder when a is divided by k?
58
Let x(y) = 9*y - 110. What is the remainder when x(19) is divided by (-4)/(-10) + 158/5?
29
Suppose 0 = 20*p - 3*p - 119. Calculate the remainder when 39 is divided by p.
4
Let g be (1 - -101) + 8/6*-3. Let s = 167 - g. What is the remainder when s is divided by 18?
15
Let x = 788 + -767. Calculate the remainder when 1005 is divided by x.
18
Let t be (-34)/(-5) - (-11)/55. Let a(d) = d + 8. Suppose -43 = p - 2*p. Calculate the remainder when p is divided by a(t).
13
Let h(o) = -o**2 + 5*o + 2. Let a be h(4). Suppose 8 + a = y. Suppose i - 162 = -3*d - 2*i, -d = -2*i - 51. Calculate the remainder when d is divided by y.
11
Suppose 0 = w + i - 41, -85 = -w - w - 5*i. Suppose -k - w = -5*k. What is the remainder when k is divided by 4?
2
Let w(u) = -3*u**2 - 3*u. Let i be w(1). Calculate the remainder when 91 is divided by 15 + 2 + i + 8.
15
Let y = 305 - 278. Calculate the remainder when 80 is divided by y.
26
Suppose -5*u = 15, 3*v - u = 1 - 4. Let m(f) = -2*f**3 + 3*f**2 + 3*f + 2. What is the remainder when 68 is divided by m(v)?
20
Suppose r = 5*x - 15, 0 = 5*r - 0*x + 3*x - 9. Let k(b) = -b + 32. What is the remainder when k(r) is divided by 9?
5
Suppose -4*c - 4*r + r + 47 = 0, -5*r = c - 33. Let g be 256/44 - 4/(-22). Calculate the remainder when c is divided by 20/30*g*1 + -2.
0
Let g(v) = -2*v**2 + 42*v - 36. Calculate the remainder when g(18) is divided by 37.
35
Suppose -2*i + 885 = 3*i - 3*j, 0 = 2*i + 5*j - 354. Suppose 5*n + 4*f - i = 0, 5*n - n + f - 146 = 0. What is the remainder when n is divided by 11?
4
Calculate the remainder w