when (-8)/(-10) - 366/o is divided by 4.
1
Let o(b) = -b**3 + 13*b**2 + 12*b + 27. Let r be o(14). Calculate the remainder when (-3 + 9/6)*(r + -3) is divided by 4.
2
What is the remainder when 16 is divided by -1 - (-3)/(3/10)?
7
Let g be 2/(-3)*(-66)/4. Let r = 51 - 49. Suppose 3 + g = r*h. What is the remainder when h is divided by 4?
3
Suppose 0 = -46*t + 54*t - 416. What is the remainder when 146 is divided by t?
42
Let c be ((-4)/(-3))/(20/45). Suppose 0*l + 126 = c*l. Calculate the remainder when 85 is divided by 952/l - (-4)/(-6).
19
Suppose -4*z + 5*z = 2. Let c(l) = 3*l**2 - 28*l - 66. What is the remainder when c(-2) is divided by z?
0
Suppose 3*s - 11 = 31. Let a = s + -1. Calculate the remainder when 36 is divided by a.
10
Suppose -17*x = x - 3420. Calculate the remainder when x is divided by 45.
10
Let u(g) = -7*g**3 + g**2 - 4*g - 3. Calculate the remainder when (-3027436)/(-15689) - 2/(-58) is divided by u(-2).
63
Suppose -3*o = -4*i - 324, 2*o - 345 = -o - 3*i. Suppose 2*u = -n - n + o, 4*u + 12 = 0. What is the remainder when n is divided by 30?
29
Suppose 50*q - 46*q - 176 = -4*s, -4*s - q = -176. What is the remainder when 237 is divided by s?
17
Let d(l) = -l**3 - 6*l**2 - 4*l - 15. Let w be d(-6). Suppose w*a = 8 + 28. Calculate the remainder when 21 is divided by a.
1
Let x(s) be the first derivative of s**2 + 24*s - 35. Calculate the remainder when 9 is divided by x(-11).
1
Let b = -22 + -14. Let w = b + 51. Suppose a = 2*n - 19, -5*n = a - w - 50. What is the remainder when 34 is divided by n?
10
Suppose -66 = -2*y - 5*i, 0 = 4*i + i + 10. Let r = -33 + y. Calculate the remainder when 8 is divided by r.
3
Suppose -2*u = -i - 5, 15 = 2*u + 2*i - 5*i. Let p(y) = -y**3 + 5*y**2 + 3*y - 10. What is the remainder when p(5) is divided by (4/1)/2 - u?
1
Suppose 65 = -4*s + 253. Calculate the remainder when 231 is divided by s.
43
Let z(u) = 58*u - 6. Let h be z(3). Suppose g = -5*g + h. What is the remainder when 166 is divided by g?
26
Let h(t) = -82*t - 234. What is the remainder when h(-16) is divided by 30?
28
Let f(a) = 29*a - 200. Calculate the remainder when f(7) is divided by -3*3*3/(-9).
0
Suppose -2094 = -8*n - 622. What is the remainder when n is divided by 95?
89
Calculate the remainder when (-11 + 12)*(-978)/(-3) is divided by 61.
21
Suppose 4*z + 2*r - 238 = 0, 2*z - 5*r = -r + 94. Suppose z - 6 = f. Calculate the remainder when 99 is divided by f.
48
Let t be ((-3)/(-6))/((-1)/(-12)). Suppose 133 = f + t*f. Calculate the remainder when 74 is divided by f.
17
What is the remainder when 537/3 - (-3 - 3 - -3) is divided by 37?
34
Suppose -5*c = -264 + 109. Suppose -2*u = -118 - 124. What is the remainder when u is divided by c?
28
Suppose 64 = 4*r + 4. What is the remainder when 35 is divided by r?
5
Let g(b) = -6*b - 3. Let q(o) = -3*o + 5. Let f be q(4). Suppose -15*u + 132 = -3*u. Calculate the remainder when g(f) is divided by u.
6
Let y(b) = b - 4 + 4 + 2*b**3 + 0 + 10 + b**2. What is the remainder when 49 is divided by y(0)?
9
Suppose -3*y + q = 4 + 4, -5*y = -q + 10. Let a(s) = -23*s + 1. Let l(r) = -r**2 + 43*r - 157. What is the remainder when l(36) is divided by a(y)?
23
Let g be 8/((-8)/(-2)) - -1. Suppose -2*o + 7 = -g. What is the remainder when 130 is divided by (38 - o)*(0 + 1)?
31
Let d(t) = -4*t + 3*t - 4*t - 24 - 2*t. Calculate the remainder when d(-5) is divided by 4.
3
Let m = -263 - -138. Let n = m + 141. What is the remainder when n is divided by 9?
7
Let g = -2156 - -2166. What is the remainder when 127 is divided by g?
7
Suppose -9*k + 19*k - 9*k = 107. Calculate the remainder when k is divided by 0/1 - (-1 + -26).
26
Let y(h) = -h**3 - 6*h**2 + 8*h - 3. Let p be y(-7). Let t = -2 - p. Suppose -t*c = -3*c - 20. Calculate the remainder when 11 is divided by c.
3
Suppose -12*l + 11*l = -109. Let r = l + 26. Calculate the remainder when r is divided by 23.
20
Suppose 5*y + 2*d = 16, -6 = -y - 45*d + 46*d. Let s = -6 - 4. Let x = -5 - s. Calculate the remainder when x is divided by y.
1
Let y(z) = 16*z + 5*z**2 + 22*z**2 + z**3 + z + 11*z + 57. Calculate the remainder when 28 is divided by y(-26).
3
Let o be -2 + 6/4 + (-27)/6. Let b = -5 + 15. Let f = o + b. What is the remainder when 14 is divided by f?
4
Suppose 2*a = 4*l + 4, -5*a + 5*l = l - 10. Let i be (-15)/30 + a/(-4). Calculate the remainder when 37 is divided by (5/(-10))/(i/26).
11
Let b(o) = -8*o + 183. What is the remainder when b(-10) is divided by 8?
7
Let i(q) = 25*q. Let y be i(-2). Let m = y + 136. Calculate the remainder when m is divided by 44.
42
Let s(n) = -n**3 + 17*n**2 + 13*n + 46. What is the remainder when s(15) is divided by 99?
97
Suppose -3*t = -5*g - 23, 2*t + 2 - 24 = 5*g. Suppose -6 = -4*u - 2. Let h = u + t. What is the remainder when 7 is divided by h?
1
Let k(j) be the first derivative of -j**2 - 2*j + 3. Let o = -47 + 84. Calculate the remainder when o is divided by k(-11).
17
Let d be 7/(28/(-8))*-5. Suppose 8 = 4*a + o, d = -5*a + 4*o - 1. What is the remainder when a - 3 - -11*2 is divided by 7?
6
Let b(g) = -g**3 + 3*g**2 - g - 7. Let k be b(-4). Let x = k - 31. Calculate the remainder when x is divided by 17.
10
Suppose 0 = 5*f - 2*l - 420, 5*f - 31 - 364 = -3*l. Suppose -2*j + m = 3*j - 136, -m = -3*j + f. Calculate the remainder when j is divided by 15.
12
Let u be 17/(-5) + (-30)/50. What is the remainder when ((-40)/(-4))/(u/(-24)) is divided by 22?
16
What is the remainder when 180 is divided by 53 + (-1 - -8 - -1)?
58
Let w(v) = -2*v**3 - 7*v**2 - 4*v. Suppose -5*l + 0*j + 2*j + 336 = 0, -2*l = j - 129. Calculate the remainder when w(-4) is divided by l/4 + 2/4.
15
Suppose 1 = 5*f - 214. Suppose 4*d - 3*n - 16 = 0, 5*d - f = n - 3*n. Calculate the remainder when 27 is divided by d.
6
Let m(c) = c**3 + 4*c**2 - 7*c + 1. Let v = 22 - 28. Let s be m(v). Let h = 46 + s. Calculate the remainder when 65 is divided by h.
14
Let r(m) = -m**2 - 20*m - 1. Let x be r(-20). Calculate the remainder when 117 is divided by -2 + 29 + (x - -4).
27
Suppose 4*a - 70 = 226. Calculate the remainder when 365 is divided by a.
69
Let r = 10 - 8. Suppose 4*d + 7*m - 4*m = 12, 5*m = r*d - 32. Suppose -80 = -d*z + 2*z. Calculate the remainder when z is divided by 11.
9
Suppose s - 147 = -6*s. Suppose 2*t - 6 = -3*x, 0*x = -4*t + 5*x + 56. What is the remainder when s is divided by t?
3
Suppose 5*s - 36 = -3*r, -r + 4*r = -9. Suppose -s*t = -89 - 1. Calculate the remainder when 59 is divided by t.
9
Calculate the remainder when 369 is divided by (2370/45 + (-2)/(-6))/1.
51
Let z(f) = -7*f + 57. Suppose o = 5*q - 676, 2*o = 6*q - q - 677. What is the remainder when q is divided by z(7)?
7
Suppose -4*s + 3*s = 2*d - 6, -2*d = 3*s - 6. Let l(i) = 35 - 45 + 2*i + s*i. Calculate the remainder when l(16) is divided by 5.
2
Let x(h) = 6*h - 6. Let u be x(3). Let z = u + -4. Suppose 30 = -z*r + 13*r. Calculate the remainder when 9 is divided by r.
3
Let t(w) = 5*w**2 + 5*w - 2. Let r be t(2). Suppose 3*i = -10 + r. Calculate the remainder when i is divided by 4.
2
Let j(r) = r + 2. Let p be j(6). Let g = 22 - p. Suppose -4*y - 62 = -214. Calculate the remainder when y is divided by g.
10
Suppose -4*h - 5*u = -194, 2*h - 94 = -7*u + 6*u. Calculate the remainder when h is divided by 15.
1
Suppose -36 - 16 = -4*o. Let k = o - 9. Calculate the remainder when 5 is divided by k.
1
Let k = 112 + -46. Suppose -5*c + k = -4*c - 4*y, 0 = 3*c + y - 172. What is the remainder when c is divided by 20?
18
Suppose -7 = -o - x, -x - 4 = -3*x. Suppose -5*y = -o*f - 180, 0 = 5*y - 2*f + 14 - 197. Suppose z - 30 = y. What is the remainder when z is divided by 17?
16
Let s(n) be the second derivative of -n**5/20 - n**4/2 - n**3/6 - 2*n**2 - 2*n. Calculate the remainder when 6 - (6 - (-2 - -6)) is divided by s(-6).
0
Let v(i) = -2*i**2 - 21*i + 21. What is the remainder when (630/(-75))/(6/(-20)) is divided by v(-11)?
8
Calculate the remainder when 43 is divided by (-2 + (-9)/(-6))/(16/(-416)).
4
Suppose 65*p = 13*p + 4888. Calculate the remainder when p is divided by 29.
7
Suppose -u - o + 3*o = -8, 5*u = o + 31. What is the remainder when 327 is divided by u?
3
Let u = -67 - -134. Let i = u - 45. Calculate the remainder when 43 is divided by i.
