a(k) = 53*k - 1225. Suppose 0*i + 19 = 3*i + 5*o, 2*o = -3*i + 31. Calculate the remainder when a(24) is divided by i.
8
Let v(z) = -z**3 + 5*z**2 - 4*z - 2. Let y be v(4). Let q(j) = -j - 2. Let i be q(6). Calculate the remainder when 36 is divided by (-78 - y)*2/i.
17
Let c = 766 - 748. Calculate the remainder when 22 is divided by c.
4
Calculate the remainder when 278 is divided by 35/(-3)*(12 - (7 - -11)).
68
Let k(z) = -11*z - 7. Let f be k(-1). Suppose -f*n + 7*n - 27 = -5*s, 3*s = 0. Calculate the remainder when 31 is divided by n.
4
Suppose 0 = 3*b - 15, 3*t - 291 = -7*b + 4*b. Let j = 97 - t. What is the remainder when j is divided by 2?
1
What is the remainder when 339 is divided by 1/((-7)/3808*-8)?
67
Let b be (-30 - (-3 + 2))/1. Let h(a) = -7*a - 120. Let q be h(-23). Let w = b + q. Calculate the remainder when w is divided by 3.
0
Suppose -12 = -2*s + 2*j, -2*j = -3*j. Suppose 0 = -h - 2 + s. Suppose -156 = -4*f - h*d, 3*f + 3*d = -2*f + 193. What is the remainder when f is divided by 8?
6
Suppose 3*m = -5*v - 9 + 28, -5*v + 10 = 0. Suppose 11 - 56 = -m*q. Calculate the remainder when q is divided by 9.
6
Suppose 66*x - 35*x - 704 = 23*x. Let j(p) = -p**3 - p**2 + 5*p + 3. What is the remainder when x is divided by j(-4)?
26
Suppose -185 - 5 = 5*y. Let n = 52 + y. What is the remainder when n is divided by 5?
4
Suppose -6*w + 16 = -2*w. Let g be 229/w - 1/4. Let n = -37 + g. What is the remainder when 57 is divided by n?
17
Suppose 0 = -3*i + 4*i - 96. Let o = 337 - 211. Suppose -3*a = -5*r + o + 34, -3*r + i = -a. Calculate the remainder when 93 is divided by r.
29
Let f(g) = 16*g - 1. Suppose 0 = 5*v + 2*n + 28, 2*n = -0 - 8. Let t = -3 - v. What is the remainder when 27 is divided by f(t)?
12
Suppose 254 = 4*g - 62*k + 60*k, -5*k = -15. Calculate the remainder when g is divided by 0/(-2) + -3 + 14.
10
Let u(c) = 53*c. Let i be u(2). Suppose 4*g - i = 26. Suppose -2*q + 5*f = -125 + 64, 5*q + 2*f - 80 = 0. What is the remainder when g is divided by q?
15
Let p = 252 + -232. What is the remainder when 376 is divided by p?
16
Suppose 3 = 8*g - 7*g. Suppose 4*v + g*u = -0*u + 20, -u = 4*v - 20. Suppose v*r = 2*r + 99. What is the remainder when r is divided by 9?
6
Calculate the remainder when (-1 + (-14)/7)*29/(-3) is divided by 20.
9
Let y = -19 + 21. Suppose 3*w = -y*w + 160. Calculate the remainder when w is divided by 12.
8
Let g(z) = -z + 6. Let t = -11 - -5. Calculate the remainder when 47 is divided by g(t).
11
Suppose -357 = -3*h + 3*a, 2*h - a = -h + 353. What is the remainder when h is divided by 24?
21
Let p(l) = l**3 + 3*l**2 - 2*l + 4. Let r be p(-4). Calculate the remainder when 0/(-2) - (-22 + -1) is divided by ((-6)/(-2))/(r/(-12)).
5
Let l(q) = -4*q**3 - q**2 - 1. Calculate the remainder when l(-3) is divided by 17.
13
Suppose 3*s + 25 = -5*q, -5 - 15 = -5*s + 4*q. Let j = 1153 - 1064. What is the remainder when j is divided by s + (-2 - -1) - -14?
11
Let v(r) = 53*r**2 + 1. Let s(m) = m**2 + 5*m + 3. Let k be s(-4). Let q be v(k). Suppose 5*u - q = 2*u. Calculate the remainder when 51 is divided by u.
15
Let m = -210 - -308. What is the remainder when m is divided by 32?
2
Calculate the remainder when 6/(-63) - ((-10760)/84 + 4) is divided by 16.
12
Let z = -14 - -18. Suppose 0*g + 5*t = -z*g + 200, 2*t = 2*g - 100. Calculate the remainder when g is divided by (-4)/(-14) - 267/(-21).
11
Let p be (-17 - -3)*(-36)/14. Suppose 2*x - 26 = -4*h, 4*x + 3*h + h - p = 0. What is the remainder when 9 is divided by x?
4
Suppose -5*y = -2*y - 54. Let r(d) be the second derivative of -17*d**5/5 - 5*d**4/12 - d**3/3 + 39*d. Calculate the remainder when r(-1) is divided by y.
11
What is the remainder when 44 is divided by (-1)/(-4) + (-27)/12 + 4?
0
Let y = 1064 + -603. Calculate the remainder when y is divided by 33.
32
Let o(u) = 6*u**2 + 22*u + 15. What is the remainder when 207 is divided by o(-5)?
42
Suppose 2*z - 4*z + 5*n = -2, -5*n - 13 = -3*z. Let k(u) = -u + 35. What is the remainder when k(6) is divided by z?
7
Suppose -3*p + 2*x + 214 = 0, 110 - 42 = p + x. Calculate the remainder when 269 is divided by p.
59
Let y = -170 + 343. Calculate the remainder when y is divided by 43.
1
Let x(k) = -2*k + 62. What is the remainder when 570 is divided by x(5)?
50
Suppose -6*o + 28 = -2*o. Suppose -5*p + 143 = -o. Let k = p + -12. What is the remainder when 34 is divided by k?
16
Let x be ((-26)/(-6) - 4)*33. Let f = x + -23. Let d(z) = -z**3 - 12*z**2 - 3*z - 2. What is the remainder when 135 is divided by d(f)?
33
Let y = 182 - 85. Calculate the remainder when y is divided by 25.
22
Let l(f) = -f + 1. Suppose -5*r + 31 = 2*n, -4*n + 39 = -3*r + 16. Calculate the remainder when n is divided by l(0).
0
Let s be (96/(-30))/(2/10). Let t = s + 36. Suppose t = 2*j - 2*i, 0*j + 4*i = -5*j + 77. Calculate the remainder when 25 is divided by j.
12
Let u be (-1 - 13/(-5))*195. Suppose 0 = 3*p - u - 3. Calculate the remainder when p is divided by 9.
6
Suppose 0 = 3*y - 1 + 4, -3*l = -3*y - 15. Suppose -v - 7 = -3*n, -v - l*n = 2*v - 31. What is the remainder when v is divided by 4?
1
Let i(g) = -2*g + 113. Suppose -56 = n - 4*n + 2*z, 0 = -5*n + 5*z + 95. What is the remainder when i(22) is divided by n?
15
What is the remainder when 96 is divided by -9 + (-78)/(-6) + (13 - 0)?
11
Suppose 0 = -5*h + 3*z + 99, 4*h + 32*z = 37*z + 74. What is the remainder when 97 is divided by h?
13
Let v(b) = 3*b**2 - 4*b - 49. What is the remainder when 148 is divided by v(-4)?
13
Suppose -2*q + 0*q = -248. Suppose 0 = -3*j + s + 119, 3*j - 7 = -2*s + q. Calculate the remainder when 119 is divided by j.
37
Suppose 2*i + 251 = 741. Let o be -4 + 7 + 1 + -4. Suppose 0 = -5*a - o*a + i. Calculate the remainder when a is divided by 17.
15
Let h(o) = -8*o + 34. Let f be h(-5). Let k = 36 + f. Calculate the remainder when k is divided by 14.
12
Let m(z) = 61*z**3 + 2*z**2 - 1. Let q be m(-1). Let v = q - -70. What is the remainder when 16 is divided by v?
6
Let v(c) = -11*c - 22. Let p be v(10). Let j = 208 + p. What is the remainder when j is divided by 26?
24
Calculate the remainder when 168 is divided by 178*(-9 + 76/8).
79
Let i(s) = s**2 + 4*s - 9. Let v(k) = -k**2 + 14*k - 27. What is the remainder when i(-10) is divided by v(9)?
15
Let k be 0/(0 - (-9)/(-3)). Suppose -7*v = -4*v + 3*w - 18, k = -4*v - 2*w + 24. Suppose 0 = -2*a - 2 + v. What is the remainder when 2 is divided by a?
0
Suppose -18 = 17*k - 443. Calculate the remainder when k is divided by 14.
11
Let p(u) = u**2 - 19*u - 16. Let w(j) = 3*j**2 - 9*j + 9. Let x be w(4). What is the remainder when p(x) is divided by 10?
6
Let s(l) = -l**3 + 3*l - 4. Let t(p) = -p**2 - 3*p + 7. Let j be t(-5). What is the remainder when s(j) is divided by 6?
2
Let d be (38/(-3))/(4/18). Suppose -5*f + 3*s + 410 = 0, 10*f = 5*f + 5*s + 410. Let j = f + d. What is the remainder when j is divided by 7?
4
Suppose -3769*g = -3761*g - 1800. Calculate the remainder when g is divided by 107.
11
Let p = -864 - -897. Suppose -f + y + 133 = -0*y, 0 = f + 5*y - 103. Calculate the remainder when f is divided by p.
29
Let s(f) = 7*f + 16. Let k(z) = -6*z - 17. Let q(c) = -6*k(c) - 5*s(c). What is the remainder when q(0) is divided by 6?
4
Let f = -33 - -105. What is the remainder when 245 is divided by f?
29
Let t(p) = 44*p + 81. Calculate the remainder when t(3) is divided by 7.
3
Let w(b) = -b**3 + 6*b**2 + b + 2. Let t(r) = -101*r**3 - r**2 + r - 3. Let s be t(3). What is the remainder when s/(-126) - 2/(-7) is divided by w(6)?
6
Let p(l) = 5*l - 4. Let a be -26 + (64/(-4))/4. Calculate the remainder when p(3) is divided by a/10 - 2*-3.
2
Suppose 36 = -2*o - 6. Let z = -15 - o. Calculate the remainder when 26 is divided by z.
2
Let v = 54 - 25. Let x be (1 + (-246)/30)/(4/(-30)). Let h = 64 - x. What is the remainder when v is divided by h?
9
Let t(y) = y**3 - 2*y - 21. What is the remainder when t(5) is divided by 29?
7
Let l = 24 + -28. Let t(z) = -2*z**3 - 6*z**2 - 2*z - 1. Calculate the remainder when t(l) is divided by 11.
6
Suppose a - 3*c + 1 = 0, -4*a = -2*a - c + 7. Suppose 4*q - 2*i = 3*i + 7, 0 = 4*i - 20. Let s = q + a. Calculate the remainder when 9 is divided by s.
1
Suppose 34 = -0*t + t. Let v 