). Let s = -15 + c. Suppose -1 = o, 3*n + s*o - 93 = 2*o. What is the remainder when n is divided by 7?
4
Suppose 0 = 4*m + 72*m + 59*m - 16605. Calculate the remainder when m is divided by 34.
21
Suppose 0 = -2*d + d - 4. Let i be (0 + -1)/(d/12). Suppose -z = 4*z + 15, 4 = l + i*z. Calculate the remainder when 35 is divided by l.
9
Let y(i) = i**3 - 8*i**2 + 172*i - 9. Calculate the remainder when y(7) is divided by 50.
46
Let q be (6/(-4))/((-43)/(-86)). What is the remainder when 73 is divided by (4 + q/(-1))*3?
10
Let x be 7 + -22 + 4 + 5. Let p(m) = m**2 - 11. Let c(w) = 2*w**2 + 5*w + 8. What is the remainder when c(-8) is divided by p(x)?
21
Let p = 25 + -23. Suppose p = 59*f - 58*f. Suppose -5*n + 90 = 2*c, 4*c = f*n - 0*n + 228. Calculate the remainder when c is divided by 19.
17
Suppose 6*z + 5*s = 146, -166 = 3*z + s - 233. What is the remainder when (3/(-9))/((-2)/354) is divided by z?
17
Let f = -310 + 472. Let v = f - 137. Let m = 147 + -75. What is the remainder when m is divided by v?
22
Let t = 11 - 0. Let w = t - 5. Let h = -193 + 208. What is the remainder when h is divided by w?
3
Suppose 17*f - 31*f = -47*f + 1551. Calculate the remainder when 5087 is divided by f.
11
Let f be 8/16 - 1 - 38/(-4). Suppose 13*l - 286 = -f*l. What is the remainder when 22 is divided by l?
9
Let k(g) = 87*g + 3990. Calculate the remainder when 1611 is divided by k(-44).
153
Let s(o) = o**3 + 7*o**2 + 8*o. Let z = 80 - 46. Let x = z + -39. What is the remainder when s(x) is divided by 4?
2
Suppose -1864*u + 165 = -1849*u. Calculate the remainder when 50 is divided by u.
6
Let a = 14011 + -13879. What is the remainder when 1184 is divided by a?
128
Suppose -193 = -3*p + 1043. Calculate the remainder when p is divided by 129.
25
Suppose 129*j - 66*j - 4599 = 0. What is the remainder when 1020 is divided by j?
71
Suppose -5*r + r = 4*c - 48, 5*r + c = 44. Suppose r*y = 363 + 133. What is the remainder when y is divided by 16?
14
Suppose -148 = -18*a + 32. Calculate the remainder when 37 is divided by a.
7
What is the remainder when 132 is divided by 25/(-3)*(-11136)/1160?
52
Let q be 4 + (-50)/13 + 8265/(-65). Let b be (1 - -2 - (-1 + 6))*q. Calculate the remainder when b/6 + (-16)/48 is divided by 15.
12
Let l = 525 - 222. Suppose -t - 8*y + 3*y + l = 0, 1144 = 4*t + 3*y. Suppose -4*r + t = 4*f + f, -f + 5*r = -45. What is the remainder when f is divided by 28?
27
Suppose b + 6080 = 2*c - b, -4*c + 12157 = -b. Suppose 1158 = -19*q + c. What is the remainder when q is divided by 18?
9
Let u = -4526 + 4536. Calculate the remainder when 482 is divided by u.
2
Let a(z) = 11*z + 16 - 3 - 3*z - 5*z. Calculate the remainder when 23 is divided by a(-3).
3
Let w(m) = 5*m - 25. Let r be w(7). Suppose -a + r = -5*f - 25, -f = -5*a + 199. Let j = 88 - a. Calculate the remainder when j is divided by 25.
23
What is the remainder when (1 - (3 + 0))/((-4)/6866) is divided by 20?
13
Suppose 2*r + 3*g = -0*r + 219, 5*r = 5*g + 535. Calculate the remainder when 537 is divided by r.
105
Suppose -5*f = -f + 2*f - 732. Calculate the remainder when f is divided by 31.
29
Let a = -46 - -49. Suppose 0 = -w - y + 1, 2*y = 3*w - 0*y - a. Calculate the remainder when 33 is divided by 11 + (-1 - w) + 3.
9
Suppose -152*i = -146515 + 22787. What is the remainder when i is divided by 8?
6
Let y(j) = j**3 - 24*j**2 - 5*j + 125. Let k be y(24). What is the remainder when 152 is divided by 4/(-10) - ((-192)/k - 13)?
50
Let j(m) = -m**3 - m - 2. Let x(l) be the first derivative of l**3/3 + 13*l**2/2 + 28*l + 200. What is the remainder when x(-13) is divided by j(-2)?
4
Suppose -3*l = 662 - 677. What is the remainder when 228 is divided by l?
3
Suppose 12951 = 2*i + 5*u, 3*u - 6479 = -i + 4*u. What is the remainder when i is divided by 12?
10
Let k(f) = -32*f - 3. Let u(g) = -72*g**2 + 30*g - 30. Let j be u(1). Let r = j + 110. Calculate the remainder when k(-6) is divided by r.
37
Let j(h) = -48*h + 3707. Calculate the remainder when 1747 is divided by j(77).
9
Suppose 0*k + 4*b - 14 = 2*k, -3*b + 10 = -k. Calculate the remainder when 247 is divided by k - 1 - (-29 + -4).
30
Let g(m) = m**3 + 5*m**2 + 3*m - 4. Suppose w = 3*w - 8. Suppose -3*y - w*p = y - 8, 5*y + 10 = -p. Calculate the remainder when 9 is divided by g(y).
4
Suppose 3*r + 360 = 5*r. Let t = -101 - -114. What is the remainder when r is divided by t?
11
Suppose 86*s = 87*s - 95. What is the remainder when (s/2 + -8)*2 is divided by 40?
39
Suppose -5*f = -2*x - 6638, -83 + 1383 = f - 5*x. What is the remainder when f is divided by 2?
0
Suppose 66*u - 57*u = 0. Suppose -2*v = y - u - 20, 5*y - 175 = 5*v. Calculate the remainder when 81 is divided by y.
21
Suppose 457 = 3*v - 32. Let x(w) = 3*w**2 - 1166*w - 134308. What is the remainder when v is divided by x(-93)?
9
Let o = -49162 + 95205. Calculate the remainder when o is divided by 91.
88
Suppose 2*c + w - 764 = 0, c - 3*w - 321 = 75. What is the remainder when c is divided by 124?
12
Let k be 3*-2*(-8)/12. Suppose w - 1 = -4*a, 14 = k*w - 2*a - 44. Calculate the remainder when (-25)/((-7)/14 - (-3)/(-6)) is divided by w.
12
Let v be (-16)/(-20) + 6/5. Suppose 4*z = v*t + 18, -5*t - 12 - 7 = 3*z. What is the remainder when z is divided by 1?
0
Let k = 21582 - 21548. Calculate the remainder when 241 is divided by k.
3
Let w(b) = -10*b - 60. Let m be w(-6). Suppose 8*v - 5 - 83 = m. Let r(l) = 43*l - 1. What is the remainder when r(1) is divided by v?
9
Let t(y) = -134*y - 223. Let g be t(-8). What is the remainder when 944 is divided by 2/19 - g/(-57)?
14
Let u(l) = 0*l**2 - 7*l**3 + l**2 - 2*l**2 - 3 - 5*l + 2*l. Let d be u(-2). Suppose 4*h + d = 9*h. What is the remainder when 22 is divided by h?
0
Suppose -5*l = -10*l - 2*x + 36991, 5*x - 22187 = -3*l. Calculate the remainder when l is divided by 20.
19
Suppose 4*p = -5*h - 34, 0*h = -3*p + 3*h - 12. Let g be -3 + 1/((-1)/p) + -3. Suppose g = 2*t + t - 231. Calculate the remainder when t is divided by 26.
25
Let b(d) = -2*d**2 - 170*d - 2789. Calculate the remainder when b(-52) is divided by 8/28 - 117/(-7).
14
Let f = -2 + -640. Let b = -490 - f. What is the remainder when b is divided by 31?
28
Calculate the remainder when -4 - (9/(-24) - 34158/48) is divided by 21.
15
Suppose -5*d + 30*m - 29*m + 228 = 0, 0 = 5*m - 10. Calculate the remainder when 48 is divided by d.
2
What is the remainder when (9 - 5)*2569/28 is divided by 39?
16
Let b(o) = -o**3 - 29*o**2 - 28*o - 6. Let j be b(-28). What is the remainder when ((-161)/21 + 7)*1557/j is divided by 33?
8
Let x(z) = z**2 + 5*z - 17. Let k be x(4). Let p = 35 - k. Suppose 0 = -0*v - p*v + 4144. Calculate the remainder when v is divided by 26.
25
Let o be (-15)/(-2 - 3)*32. Suppose -2*b - h = -o, 6*b - 9*b + h + 134 = 0. What is the remainder when 225 is divided by b?
41
Suppose -g - 2*u + 322 = 0, 70*g - 73*g - 5*u + 971 = 0. What is the remainder when g is divided by 157?
18
Calculate the remainder when 1908 is divided by (-144)/60*50/(-4).
18
Suppose 17*o = 18*o - 47. Let w = -19 + 21. Suppose -3*v - w*v = -80. Calculate the remainder when o is divided by v.
15
Suppose -11779 = 26*p - 11724 - 30657. Calculate the remainder when p is divided by 31.
30
Let r = -96 - -176. Let s = 90 - r. Suppose 4*x - 190 = -x. Calculate the remainder when x is divided by s.
8
Let s(r) be the second derivative of r**4/12 - 5*r**2 - 2*r. Let c be 48/(-36) - 11/3. Calculate the remainder when s(c) is divided by 6.
3
Let p = 57 + -28. Let i = p - 24. Suppose -10 = i*u - 265. What is the remainder when u is divided by 27?
24
Let z be (-6 - (-505)/5) + 1 + -5. Let x = 178 + -96. Calculate the remainder when x is divided by (-13)/(z/14) - -19.
14
Let i(b) = -b**2 - 3*b + 7. Let s = -66 - -63. Let r be i(s). Suppose 85 + 48 = r*l. Calculate the remainder when 37 is divided by l.
18
Let v(a) = 159*a - 3651. Calculate the remainder when 109 is divided by v(23).
1
Let c(a) = -10*a**3 + a**2 - 2*a - 2. Let z be c(-2). Suppose 0 = -7*r + 5*r + 44. Calculate the remainder when z - (16/(-4) - -4) is divided by r.
20
Suppose 4*d = 2*y - 396, -2*y = 4*d - 6*d - 392. Suppose o + 2*k + 5 = 0, -2*o = 10*k - 7*k + 5. Calculate the remainder when y is divided by o.
4
Suppose 3*f = 5*x - f - 35