ded by 25.
23
Calculate the remainder when 68/(-238) - 744/(-7) is divided by 11.
7
Suppose 12891 = 4*g - 5*x, 3*x = -20*g + 23*g - 9669. What is the remainder when g is divided by 129?
128
Let u(n) = 2*n**2 - 2*n - 1. Suppose -6*x + 17 = -133. Let w = 38 - x. What is the remainder when u(-3) is divided by w?
10
Let f = -10 + 13. Let b(s) = -7 + s**f + 5 + 19*s - 16*s**2 - 5 - 7. Calculate the remainder when b(15) is divided by 12.
10
Let i(z) = -38*z**3 - z**2 - z - 1. Let y be i(-1). Suppose -30*p - 427 = -y*p. What is the remainder when p is divided by 21?
19
Suppose 0 = -4*f - 0*f - 5*q + 37, f + 3*q = 18. Calculate the remainder when 83 is divided by f.
2
Let w be (-2 - -3) + (-4 - -21). Let f be 77/(-15) + w/135. What is the remainder when 11 is divided by (12/f)/(2/(-5))?
5
Let k(g) = -15*g + 35. What is the remainder when k(-2) is divided by 15?
5
Suppose 5*i = i + 156. Calculate the remainder when i is divided by (39/(-26))/((-1)/14).
18
Suppose -12*f - 13*f = -3125. What is the remainder when f is divided by 23?
10
Let c be 7/(21/(-258)) + -3. Let p = -53 - c. What is the remainder when (p/(-15))/((-3)/30) is divided by 9?
6
Let w(r) = r**2 - 6*r + 8. Let i be w(6). Suppose -2*q + 18 = -i. What is the remainder when q is divided by 13/26*7*(-2 - -4)?
6
Let v = -17 - -22. Suppose 6*s - v - 7 = 0. What is the remainder when 14 is divided by s?
0
Suppose -4*d + 404 = -4*p, -5*d + 2*p = 316 - 833. Calculate the remainder when d is divided by 22.
17
Suppose -22*f + 462 = -11*f. What is the remainder when f is divided by 15?
12
Suppose 4*o + 26 = 114. Suppose 4*r = -196 + 1156. Suppose 0 = 2*d - 8, -4*b = -3*d + 84 - r. What is the remainder when b is divided by o?
20
Suppose 5*o = -4*k + 86, -5*o - 4*k = -3*o - 44. Calculate the remainder when 54 is divided by o.
12
Suppose -202 = -7*f + 6*f. Let a = f + -137. Calculate the remainder when a is divided by 33.
32
Let w = -49 + 78. Let v = 261 - 244. What is the remainder when w is divided by v?
12
Let w be -1 + (-4)/(-4) - (0 - 4). Suppose 3*k = 4*z - 0*k - 56, 0 = 4*z - w*k - 56. Let o(n) = n**2 + 8. Calculate the remainder when z is divided by o(0).
6
Let y be -70 - (3/2)/((-6)/(-16)). Let z = -46 - y. What is the remainder when z is divided by 6?
4
Calculate the remainder when 29 is divided by 3 - (-3 + (-6)/(-6)).
4
Let i(w) = 7*w + 44. Let c(n) = -n. Let r(q) = -2*c(q) - i(q). What is the remainder when 60 is divided by r(-13)?
18
Calculate the remainder when 268 is divided by 272/(-1768)*(-78)/2.
4
Suppose -4*s = -0*s - 20. Suppose -3*q + 32 = -s*w, -2*q + 12 + 9 = -3*w. Let u = 20 - q. Calculate the remainder when u is divided by 5.
1
Suppose -3*a + 1080 = 5*q, -5*q - 2*a = -7*a - 1080. Calculate the remainder when q is divided by 57.
45
What is the remainder when 65 is divided by (-4)/10 - (-4350)/250?
14
Let x be 1/7 + 5364/(-63). Let b = 113 + x. What is the remainder when b is divided by 5?
3
Let n = -3 - -8. Suppose -n*x = -q - 39, -x + 0*q + 7 = -q. Let y = x - 2. What is the remainder when 15 is divided by y?
3
Let r(f) = 13*f**2. What is the remainder when 142 is divided by r(1)?
12
Suppose 2*w = 2*u + 100, -5*u - 146 = -3*w - 4*u. Let x = 1 - -12. Calculate the remainder when w is divided by x.
9
Let d(y) = 12*y**2 + 66*y + 131. Let h(r) = 7*r**2 + 2*r. What is the remainder when d(-2) is divided by h(-2)?
23
Suppose -5*p + 5 = -4*s, 2*s + 3 = -0*s + 3*p. Suppose s = -3*i - 4*u + 83, -2*u + 149 = 5*i + 2*u. Calculate the remainder when i is divided by 18.
15
Suppose -3*c + 44 = 5*k, 92 = 6*c - c - k. Calculate the remainder when c is divided by 5.
3
Let m(i) = i**3 + 8*i**2 - i - 4. Let a be m(-8). Let g = -162 + 229. Calculate the remainder when g is divided by ((-17)/(-2))/(2/a).
16
Suppose -2*y - 50 = -7*y. Let r(k) be the second derivative of k**5/20 - k**4/6 - 5*k**3/6 - 9*k**2/2 - 24*k. What is the remainder when y is divided by r(4)?
1
Let s(v) = v**3 + 17*v**2 - v - 2. Let i be 260/(-15) + (4/(-3))/(-4). Calculate the remainder when 37 is divided by s(i).
7
Let y(p) = -p**2 + 3*p. Let n be y(2). Suppose 0 = n*h - 1 - 7. Suppose -9 = -3*m, -4*v + 9 + 6 = m. Calculate the remainder when h is divided by v.
1
Let r(u) = 3*u. Let w = -13 + 15. Let c be r(w). Suppose 3*i + c = 5*i. Calculate the remainder when 14 is divided by i.
2
Suppose -165 = 3*v - 5*l, -4*v - 5*l = 72 + 183. Let h = 104 + v. What is the remainder when h is divided by 9?
8
Let d = 49 - 28. Let m = -65 - -148. What is the remainder when m is divided by d?
20
Suppose 5*m - 34 = -4*b - 6, 3*b + 14 = 5*m. Let w(x) = 9 - x + x**2 + 0*x + b. Calculate the remainder when w(-5) is divided by 22.
19
Suppose m = -5*o + 20, -o + 4*m = 3*m - 10. Let r(j) = -8*j - 6. Let s be (6/5)/(6/(-15)). What is the remainder when r(s) is divided by o?
3
Let t = 279 - 192. Let q = 3 + t. Calculate the remainder when q is divided by 23.
21
Let z(i) = -i**3 - 23*i**2 + 22*i - 23. Calculate the remainder when 424 is divided by z(-24).
24
Let p = 6 + -21. Let o = -6 - p. What is the remainder when 17 is divided by o?
8
What is the remainder when (-6107)/(-7) + 13/((-182)/(-8)) is divided by 38?
37
Suppose -2*l = f - 104 - 33, 5*l - 2*f = 338. Suppose -5*s + 3*w + w + l = 0, 0 = -2*s + w + 26. What is the remainder when 30 is divided by s?
6
Suppose -35*f + 32*f + 84 = 0. What is the remainder when (-987)/(-9) - 2/(-6) is divided by f?
26
Suppose 3*c - 5 = -4*t + 16, -t + c = 0. Suppose m + 2*m + t = 0, -2*s - m + 25 = 0. What is the remainder when s is divided by 5?
3
Let x(j) = 14*j + 12*j**2 + 8 - j + 0*j**3 + j**3. Let l be x(-11). Let a(z) = z + 35. What is the remainder when a(l) is divided by 12?
9
Suppose 5*q = 3*h + 128 - 379, -2*q + 4 = 0. Let c(i) = i**2 - 4*i - 10. Calculate the remainder when h is divided by c(-4).
21
Let m(h) = -5*h - 41. Suppose -u = 2*q + 6, -5*q + 26 - 2 = -4*u. Calculate the remainder when 3/u*(-88)/4 is divided by m(-9).
3
What is the remainder when 115 is divided by (-3895)/38*(-4)/5?
33
Suppose 128*v - 113*v - 1530 = 0. What is the remainder when 390 is divided by v?
84
Let j(d) = d**3 - 18*d**2 - 18*d - 1. Let k = 122 + -103. Suppose 3*a + 20 = 5*a. Calculate the remainder when j(k) is divided by a.
8
Let d(v) = -3*v**2 - 3*v - 21. Let r(b) = b**2 + b + 5. Let o(p) = 2*d(p) + 9*r(p). What is the remainder when o(3) is divided by 24?
15
Suppose 0 = -2*z + 4*s + 324, 0 = 4*s - 4 + 12. Calculate the remainder when z is divided by 18.
14
Suppose 17*n + 22 = 19*n. Suppose -5*u + 4 + n = 0. Suppose -102 = -4*f - 2*g, -3*f - u*g + 127 = 2*f. What is the remainder when f is divided by 15?
11
Let c = -9 - -32. Let x = c - -12. Let l = -430 + 443. Calculate the remainder when x is divided by l.
9
Let b = -788 - -806. Calculate the remainder when (-17)/(2 - (-10)/(-4)) is divided by b.
16
Let y(j) = j**3 + 3*j**2 - 1. Let w be y(-2). Let u be (1/w)/(2/18). Calculate the remainder when 25 is divided by (-2)/u*(-25 + 4).
11
Let z(b) = 17*b - 469. What is the remainder when 79 is divided by z(30)?
38
Suppose -5*o + 286 = -f, -51 = -2*o + 5*f + 45. Let m be 3/(-9) + (-61)/(-3). Suppose -m = 5*r - 6*r. Calculate the remainder when o is divided by r.
18
Let d(h) = 9*h - 9. Let n be d(3). Suppose -3*l = -c - 2*c - n, 4*c = -l + 31. Calculate the remainder when 62 is divided by l.
7
Let y = 601 - 363. Suppose 11*o = -95 + y. Calculate the remainder when 36 is divided by o.
10
Let r(m) = 8*m**2 - 5*m + 9. What is the remainder when r(2) is divided by 13?
5
Suppose 0*c + 20 = 2*c. Suppose -43*j + 39*j - 2*t = -182, 4*t + 200 = 4*j. Calculate the remainder when j is divided by c.
7
Suppose 0 = -37*j + 506 + 160. Calculate the remainder when 2157 is divided by j.
15
Suppose 3*l - 125 = -2*l. Suppose 0 = 2*w - l - 67. Let u(b) = b**2 - 2*b + 1. Calculate the remainder when w is divided by u(5).
14
Let x(j) = 2*j + 24. Let o be x(-11). Let c(k) = -k - k**2 + 7*k**2 - 2*k**o - 3*k**2. What is the remainder when 56 is divided by c(-4)?
16
Let y = -252 - -279. What is the remainder when 53 is divided by y?
26
Let z = 214 + 1428. Calculate the remainder when z is divided by 47.
44
Let j = 101 + 129. Calculate the remainder when j is divided by 26.
22
Let o(y) = -y**3 + 9*y**2 - 6*y - 4. Let g(t) = -t + 5. Let j be g(