et v = o - -44. What is the remainder when v is divided by 5?
2
Suppose 8 = -4*l, j - 5*l - 274 = -3*j. What is the remainder when 1121 is divided by j?
65
Suppose -56*s = -50*s + 168. Let v = s + 77. What is the remainder when v is divided by 13?
10
Suppose -6 - 24 = -10*c. Suppose -p - c*h + 1 = 0, p + p - 8 = -3*h. What is the remainder when 36 is divided by p?
1
Suppose -2*t + 147 = t. Let j = 2 + t. Let g = 59 - j. What is the remainder when 13 is divided by g?
5
Suppose -16*i - 16208 = -102064. What is the remainder when i is divided by 44?
42
Suppose 5*k - 2*k + i = 32, -8*i + 4 = -4*k. What is the remainder when 574 is divided by k?
7
Let z(v) = 2*v**3 + 26*v**2 + 21*v + 42. Calculate the remainder when 442 is divided by z(-10).
10
Suppose 0 = 2*x + 8*x - 65616 - 36234. What is the remainder when x is divided by 61?
59
Suppose 0 = 2*j - 10 + 18. Let t(g) = g**2 - 3*g - 2. Let p be t(j). Suppose -i + p = 18. Calculate the remainder when 13 is divided by i.
5
Let j = -534 - -537. Let a = -83 + 89. Calculate the remainder when a is divided by j.
0
Let c = 1118 + -1091. Suppose -235 = -4*w + 25. Calculate the remainder when w is divided by c.
11
Suppose 858*z - 434*z - 425*z + 1237 = 0. Calculate the remainder when 1243 is divided by z.
6
Suppose -1633*r = -1095*r + 3434 - 52392. What is the remainder when (358/(-6))/((-1)/3) is divided by r?
88
Let j be (-56)/(-10) - (-5 - 84/(-15)). Suppose 3*d - 7*d + 2526 = -j*t, -d = 2*t - 638. Calculate the remainder when d is divided by 49.
46
Let q(c) = -3*c + c**2 + 9*c + 1 - 7*c. Let d be q(0). Suppose -4*l - d = -21. What is the remainder when 15 is divided by l?
0
Suppose 3*d - 2*j = -5*j + 6, 0 = d + 5*j + 2. Let k(p) = 7*p**2 - 21*p - 59. Calculate the remainder when k(5) is divided by d.
2
Suppose 5*g + 1 = -29. Let h be (-4)/g - 2/3. What is the remainder when (0 - (1 - h))*-74 is divided by 11?
8
Let s = -294 - -564. Calculate the remainder when 52 is divided by s/15 - (-12)/(-3).
10
Let f(t) be the first derivative of -3/2*t**2 - 29 - 60*t. What is the remainder when 9 is divided by f(-22)?
3
Let c = -206 - -116. Let x = c + 115. Suppose -5*h = 5*u - 75, 4*h - 2*u = 54 + 6. What is the remainder when x is divided by h?
10
Let j(s) = 47*s. Suppose -5*y + 5 = -10. Let q be j(y). What is the remainder when q - (5 + -5 - 1) is divided by 18?
16
Let q(l) = l - 10. Suppose 22*r - 1097 = -4*i + 27*r, 3*i = -4*r + 815. Calculate the remainder when i is divided by q(13).
0
Let n(y) = 3*y**3 + 43*y**2 - 46*y - 190. Calculate the remainder when 384 is divided by n(-15).
34
Let w = -25768 - -25786. Let o(t) = t**3 - 6*t**2 + t - 4. Let u be o(6). Calculate the remainder when 2*(3*5 + u) is divided by w.
16
Let n = 23522 - 23357. Calculate the remainder when 3133 is divided by n.
163
Suppose -z + 87 + 48 = 5*q, 4*z = -5*q + 480. Let n = -6 - -14. Suppose -17 = n*l - 9*l. What is the remainder when z is divided by l?
13
Let p(h) = -3*h**2 + 8*h + 425. Calculate the remainder when 166 is divided by p(13).
12
Calculate the remainder when 171/(-3)*-2 - (24 + -5 + -21) is divided by 32.
20
Let d = -830 - -912. What is the remainder when d is divided by (-3)/3 - 2 - -33?
22
Let z = 1277 + -1234. What is the remainder when 62 is divided by z?
19
Let a(g) = -5*g - 112. Let t be a(-22). Suppose 0 = -2*j + 3*l + 285, j + 7*l = 3*l + 159. Calculate the remainder when j is divided by (-64)/t - (2 - 7).
36
Let j = -170 - -200. Suppose -4*q = 0, -2*t + j = -0*t - 3*q. Calculate the remainder when 447 is divided by t.
12
Suppose -3*l - 2*s + 819 = 0, 4*l + 5*s = 7*l - 819. Suppose -53 = -4*n + 47. What is the remainder when l is divided by n?
23
Let k = 18849 - 18842. Let m(t) = t**3 - 2*t**2 - 4*t + 1. Let p be m(3). Let z = 9 - p. Calculate the remainder when z is divided by k.
4
Suppose -4*c = 4*z - 56, 0 = 4*z + 2*c - 36 - 14. Suppose 3*i + 3*m = z - 2, -3*m = 2*i - 6. What is the remainder when 179 is divided by i?
2
Let z(l) = l**3 - 4*l**2 - 20*l - 6. Let f be ((-66)/(-54) - 2/9) + 6. Let c be z(f). Calculate the remainder when 52 is divided by -3*((c - 3) + 21)/(-3).
14
Calculate the remainder when (-1248)/(-3) + -4 - (7 - (0 + 3)) is divided by 61.
42
Let d = 62948 + -62928. Suppose -4*l - 66 + 7 = -a, 5*a + 2*l = 295. What is the remainder when a is divided by d?
19
Let w = 468 + -450. Suppose c = k + w, c - 13*k - 21 = -15*k. What is the remainder when c is divided by 5?
4
Let a(u) = -3*u**2 - 283*u + 323. What is the remainder when a(-95) is divided by 100?
33
Suppose 0 = b + 5*g - 547, -7*g = -4*g. Calculate the remainder when b is divided by 26.
1
Suppose 6*m = 3*m + 159. Let p(u) = 2*u**2 + u - 1. Let y(t) = 3*t**2 + 23*t - 83. Let o(z) = -2*p(z) + y(z). What is the remainder when m is divided by o(12)?
26
Let q(j) = -j**2 - 17*j + 23. Let b be q(-7). Suppose -4*x - 1 = -b. Calculate the remainder when 81 is divided by x.
12
Let s = -52 - -54. Suppose s*w - 17 = 207. Suppose 4*t + 64 = w. Calculate the remainder when t is divided by 7.
5
Suppose 19*v = 34*v - 1785. Calculate the remainder when 177 is divided by v.
58
Let s(a) = -2*a**3 + 85*a**2 + 17*a - 204. What is the remainder when s(41) is divided by 13?
11
Let f = -108788 - -109250. Suppose 0 = 3*l - 54 + 6. Calculate the remainder when f is divided by l.
14
Suppose 51*l - 1827 = 42*l. Suppose 10*v + l - 253 = 0. Calculate the remainder when 15 is divided by v.
0
Let m(u) = 64*u**2 - 18*u + 21. Suppose 13 = -i + 142. What is the remainder when i is divided by m(1)?
62
Suppose 6*s - 5 = -77. Let z be ((-114)/s - 8)/((-1)/(-2)). Suppose 2*b = -5*w + 26, -10 = -z*w - 2*w. Calculate the remainder when 29 is divided by b.
5
Suppose -81*m + 270544 = 37*m - 98914. Calculate the remainder when m is divided by 58.
57
Let r(s) = s**3 - s**2 - 29*s - 2. Let l be r(6). Calculate the remainder when (-3)/((-421)/(-106) - l) + -4 is divided by 18.
12
Let i(a) = -a**3 - 6*a**2 + 6*a + 9. Let k = 1967 + -1905. Calculate the remainder when k is divided by i(-7).
14
Suppose 0*r + 5*r = 1250. What is the remainder when r is divided by (4/(-6) - (-1 - 1)) + (-416)/(-12)?
34
Suppose -34*z = -30*z - 96. Suppose -3*k = -11*k + z. Calculate the remainder when 73 is divided by k/(1 + 136/(-148)).
36
Let v(m) = -10*m**2 + 593*m - 93. What is the remainder when 420 is divided by v(59)?
0
What is the remainder when 1061/5 - (70/(-150) - 2/6) is divided by 46?
29
Let l(w) = 117*w + 8800. What is the remainder when 369 is divided by l(-75)?
19
Suppose 0 = -198*r - 1556 + 3424 + 4864. What is the remainder when 5915 is divided by r?
33
Suppose -11*v + 10*v - 206 = -j, 5*j + 4*v = 1030. Suppose -3*u + 700 = -2*h + 85, 0 = u - h - j. Calculate the remainder when u is divided by 107.
96
Let a(q) = -6*q - 11. Let y(r) = -r**2 - 6*r + 50. Let j be y(-11). What is the remainder when 360 is divided by a(j)?
18
Let r(f) = -113*f + 134. Let q be r(6). Let x = -506 - q. Calculate the remainder when 50 is divided by x.
12
Let d(g) be the first derivative of -g**3/3 - 11*g**2/2 - 23. Calculate the remainder when 77 is divided by d(-7).
21
Suppose -64 = -5*w + 321. Let o(l) = l**2 + l - 16. Let q be o(-8). What is the remainder when w is divided by 5 - (-595)/q - (-2)/16?
17
Suppose r + 2*u - 159 = 0, 4*r - 2*u - 408 = 198. Calculate the remainder when 1206 is divided by r.
135
Suppose 0 = 22*z - 105 - 159. Suppose z*r + 924 = 45*r. Calculate the remainder when 185 is divided by r.
17
Let u(p) = -6*p - 3. Let g be (-9 - -6)*1/(-3) + 1. What is the remainder when 4 + -48*(-2)/g is divided by u(-5)?
25
Let u = -3326 - -3589. Calculate the remainder when u is divided by 132.
131
Let c = -23233 - -40896. Calculate the remainder when c is divided by 22.
19
Let t(v) be the second derivative of -3*v**4/4 + 32*v**3/3 - 7*v**2/2 - 18*v. What is the remainder when t(6) is divided by 7?
4
Suppose 48*q - 7185 + 417 = 0. What is the remainder when q is divided by 72?
69
Suppose 2*b - 5*b = -36. Let u = -3496 - -3695. Calculate the remainder when u is divided by b.
7
Suppose -2*j + 64 = g, -g + 2*j - 5 = -49. What is the remainder when g is divided by (22/7)/(21/147)?
10
Suppose -b = 2*b - 51. Let v = -983 - -995. Suppose 0 = -3*g + v, 2*u = 38*g - 39*g + 118. Calculate the remainder when u is divi