the remainder when c is divided by 31.
26
Let f be 0 + 40 + 4/(-8)*0. Suppose 0 = 41*j - f*j - 24. What is the remainder when 94 is divided by j?
22
Let n = 46 + -30. Let x(c) = 2*c**3. Let p be x(1). Calculate the remainder when n is divided by -6*(-1)/p - -3.
4
Let d(s) = 3*s**2 + s. Let j = 3 - 2. Let f be d(j). Suppose -57 = -f*u + 5*c, -4*c + 2*c + 96 = 5*u. What is the remainder when 53 is divided by u?
17
Let y(k) = 3*k**2 + 7*k - 10. Let t be y(7). Let g = t + -109. What is the remainder when g is divided by (-6)/(-21)*-5*-14?
17
Let t = -93 + 183. Suppose -2*a + t = 4*g - 0*g, 3*a = -5*g + 139. Calculate the remainder when a is divided by 20.
13
Suppose -34 + 10 = -2*h. Let t be (93/1)/(h - 11). Suppose -2*r = -t - 17. What is the remainder when r is divided by 19?
17
Suppose 3*a + 567 = 4*b, -6*b = -b - a - 706. Let y = b - 122. Let u(h) = 2*h**3 - 3*h**2 + 3*h - 3. What is the remainder when y is divided by u(2)?
5
Let t = 84 - 25. Let y(m) = 19*m - 1. Let l be y(4). Suppose -4*b + l = 15. Calculate the remainder when t is divided by b.
14
Let k(c) = 8*c**2 - c. Let n be k(-1). Suppose -n*q - 40 = -13*q. Calculate the remainder when 19 is divided by q.
9
Suppose 3*o - 2*o - 5 = 0. Suppose 3*j + 5*a - 27 = 175, 4*j + o*a = 266. What is the remainder when j is divided by 22?
20
Let g = 35 + -11. Let n = 145 - 140. Suppose -n*x + 46 = 12*v - 9*v, -3*v + 11 = -2*x. What is the remainder when g is divided by v?
3
Let u(p) = -p**3 - 2*p**2 + 13*p + 10. Calculate the remainder when u(-5) is divided by (-18)/30 + (-106)/(-10).
0
Let m(p) = p**3 + 15*p**2 - 2*p - 10. Let c be m(-15). Suppose 2*o - 4 = c. Suppose -2*v + 2 = -o. Calculate the remainder when 25 is divided by v.
4
Suppose 0 = 12*o - 678 + 18. Let b = o + -15. Calculate the remainder when (-2)/(-6) - (-230)/3 is divided by b.
37
What is the remainder when -553*13/((-637)/42) is divided by 68?
66
Calculate the remainder when 18/3*(-1208)/(-48) is divided by 31.
27
What is the remainder when 438 is divided by -1 - ((-53)/1 + 0 - 3)?
53
Let q = -1 + 6. Let h(a) be the first derivative of -a**4/4 + 4*a**3/3 + 7*a**2/2 - a - 8. Calculate the remainder when 15 is divided by h(q).
6
Suppose -j - 3 = 0, -x + 33 + 17 = -2*j. What is the remainder when 2022 is divided by x?
42
Suppose 18 = v + 5*v. Suppose -3*n + n + v*k = -111, -5*k + 290 = 5*n. Calculate the remainder when n is divided by 29.
28
Let b = -7 + 14. Let i(d) = d**3 - 6*d**2 - 12*d + 2. What is the remainder when i(8) is divided by b?
6
What is the remainder when (-2093)/(-17) + (-8)/68 + 0 is divided by 7?
4
Let x(z) = 4*z**2 - 4*z + 1. Calculate the remainder when 31 is divided by x(3).
6
Let g be (2 - (-2 - -3))*15. Let z = g + -5. What is the remainder when 26 is divided by z?
6
Let j(i) = -6*i + 5. Let c = 16 - 13. Let s(o) = 11*o - 9. Let a(x) = c*s(x) + 5*j(x). What is the remainder when 24 is divided by a(5)?
11
Let n(o) = -2*o**2 - 5*o - 3. Let d be n(-3). Calculate the remainder when 1 is divided by 8/(-12)*d/4.
0
Let u = 125 + -89. Let z = u + -26. What is the remainder when 3 - (-34 + -2) - 1 is divided by z?
8
Suppose -756 = -16*f + 7*f. Calculate the remainder when f is divided by 19.
8
Suppose -7*y + 1627 = 388. Let d = y - 130. What is the remainder when 137 is divided by d?
43
Suppose -5*m - 5*f = -1045, f = 5*m - 293 - 746. Calculate the remainder when m is divided by 7.
5
Suppose 0 = -4*p + 5*p + 13. Let t = p - -26. Let c = -11 - -16. What is the remainder when t is divided by c?
3
Suppose 4*d = 5*d - 4*m + 32, -2*d - 3*m = 53. What is the remainder when 110 is divided by (4 - 6)/(2/d)?
26
Suppose 3*n = 2*g + 253, 5*n + 9*g - 4*g - 455 = 0. Calculate the remainder when 429 is divided by n.
81
Suppose 4*u = -4*c + 16, 3*c - 10 = -2*c. What is the remainder when 99 is divided by 6/u - (3 - (-2 + 19))?
14
Let w(c) = -16*c + 176. Calculate the remainder when w(0) is divided by 13.
7
Suppose 4*a + a = 140. Let q be (21/a)/((-1)/(-32)). Suppose -2*v + q = 3*d + d, 0 = v - 4*d + 6. Calculate the remainder when 15 is divided by v.
3
Let d = -8 + 15. Let c = 3229 - 3181. What is the remainder when c is divided by d?
6
Suppose u = 42 + 11. Let t = u + -48. What is the remainder when 12 is divided by t?
2
Suppose 13*u - 700 = 158. What is the remainder when 291 is divided by u?
27
Suppose 0 = 3*t - 4*u - 25, -4*t + 7*t - 3*u - 24 = 0. Suppose -12*v + 720 = 3*v. What is the remainder when v is divided by t?
6
Let s(i) = -i**3 + 3*i**2 - i + 1. Let p = 1 - -1. Let m be s(p). Let t(x) = x**3 - 3*x**2 + 2*x - 2. What is the remainder when 10 is divided by t(m)?
2
Let g(p) = -9*p - 3. Let z be 18/8 - 21/(-28). What is the remainder when g(-2) is divided by (8/z)/(1/3)?
7
Suppose 3*k + 2*b + 15 = 0, -2*b = b + 9. Let j = k - -116. What is the remainder when j is divided by 29?
26
Suppose 117*b = 116*b + 179. What is the remainder when b is divided by 77?
25
Suppose -3*j - 7 + 32 = -5*s, s - 11 = -j. What is the remainder when 53 is divided by j?
3
Let r be 215/7 + (-8)/(-28). Suppose -s + 16 + r = 0. Suppose 4*p = 1 + s. Calculate the remainder when p is divided by 5.
2
Let b = 58 + -63. Let c(h) = h**2 - 2. Calculate the remainder when 52 is divided by c(b).
6
Let v = -80 - -102. Calculate the remainder when 43 is divided by v.
21
Let y(x) = 8*x**2 + 3*x + 1. What is the remainder when 113 is divided by y(2)?
35
Let g = -1196 - -1255. What is the remainder when g is divided by 47?
12
Let c(w) = -65*w + 7. Let g(a) = -97*a + 11. Let b(q) = 8*c(q) - 5*g(q). Let s be b(1). Calculate the remainder when 23 is divided by s/85 + (-67)/(-5).
10
What is the remainder when (6/(-10))/(((-28)/740)/7) is divided by 1*-4*(14/1)/(-2)?
27
Suppose -4*x = k - 8 - 12, 0 = 3*x + 2*k - 15. Let i = -16 - -18. Suppose 3*n - 37 = -2*d - 0*d, -2*d = i. Calculate the remainder when n is divided by x.
3
Let h = -26 - -29. Let t(x) = 8*x**2 + 3*x - 6. What is the remainder when t(h) is divided by 20?
15
What is the remainder when (-14)/((-6)/(-1140)*-5) is divided by 107?
104
Let y(n) = -n**3 + 21*n**2 - 20*n + 5. Let s be y(17). Suppose -5*l - 261 = -s. Let d = 62 - 43. Calculate the remainder when l is divided by d.
17
Let n = -4171 + 4182. Suppose -5*x + 185 = -4*y, -3*y = 5*x - 254 + 34. Calculate the remainder when x is divided by n.
8
Let j be ((-4)/6)/(1/(-3)). Suppose 4 = -0*f + j*f. Calculate the remainder when -2 + f + (2 - -9) is divided by 3.
2
What is the remainder when (-40)/(-3)*(-72)/(-15) is divided by (32 + 1)/(111/74)?
20
Suppose -1129 = -8*w - 657. Calculate the remainder when w is divided by 20.
19
Suppose -2*w + 4 = -68. Let a be (w - -1)*(-1 - -2). Suppose 5*o - a - 118 = 0. Calculate the remainder when o is divided by 11.
9
Let r(o) = o**3 + 5*o**2 - o + 5. Let a be r(-5). Let y(n) = 78*n**2 - 541*n + 5. What is the remainder when y(7) is divided by 66/a + (-4)/(-10)?
5
Let r(n) = -4*n**2 - 44*n - 26. What is the remainder when 97 is divided by r(-10)?
13
Suppose -4*u - 2*n + 115 = -5*n, -n + 120 = 5*u. Let c = u - 21. What is the remainder when 7 is divided by c?
3
Suppose -24*b = -l - 19*b + 105, -2*l = 2*b - 174. Calculate the remainder when l is divided by 61.
29
Let q(r) = -r**2 + 23*r - 121. Let z be 0/(-2) - (3 + -2). Calculate the remainder when q(11) is divided by (-9)/(0 + z) - 2.
4
Suppose -4*v - 2*c + 114 = 0, -4*c = -v - 4*v + 136. What is the remainder when v is divided by 165/10*((-145)/(-15) - 9)?
6
Suppose z - 2*a - 13 = 0, 0 = 4*z - 4*a + 2*a - 22. Calculate the remainder when 8 is divided by z.
2
Suppose -6*u = -2*u - 16. Let y(k) = 2*k**2 + 2*k - 3. Let z = 36 - 17. What is the remainder when y(u) is divided by z?
18
Let p = 20 - -11. Let x = 89 - 29. What is the remainder when x is divided by p?
29
Suppose 2*h + 8 = h + 3*u, 0 = -h + 2*u - 3. Calculate the remainder when 31 is divided by h.
3
Let c(b) = 6*b**2 + 7*b + 11. Let a be c(-2). Calculate the remainder when 31 is divided by -3 - (-23)/7 - (-120)/a.
1
Calculate the remainder when 64 is divided by ((-9)/3)/(76/(-14) + 5).
1
Suppose -144 = -2*n + 4*m, -n + 3*m = -2*n + 77. What is the remainder when n is divided by 16?
10
Suppose 0*w - 245 = -5*v + 5*w, -4*v - 3*w + 175 = 0. What is the remainder when v is divided by 9?
1
Let g be (-1 + 3)/4 - 