s. Calculate the remainder when c is divided by 8.
6
Suppose 0 = 10*q - 9*q - 2. Let i(m) = 11*m - 3. Calculate the remainder when i(q) is divided by 4.
3
Suppose 7*u - 264 = 170. Suppose -s = u - 70. Calculate the remainder when 45 is divided by s.
5
Suppose -2*x - h = -2*h - 35, -5*x - 3*h = -71. Suppose x = -y + 5*y. Let r(w) = -w**3 + 2*w**2 + 2*w + 1. Calculate the remainder when y is divided by r(-1).
0
Suppose -17*w - 1560 = -27*w. Calculate the remainder when w is divided by 40.
36
Let c(q) = -3*q**3 + 32*q**2 + 11*q + 7. What is the remainder when 608 is divided by c(11)?
6
Let h(n) = 24*n - 55. Calculate the remainder when 76 is divided by h(4).
35
Suppose 800 = 19*k - 2*k + 15*k. What is the remainder when (0 - 199/(-1)) + -1 is divided by k?
23
Suppose 5*k = -x - x + 65, -92 = -3*x - 2*k. Suppose 3*d - x = 147. What is the remainder when d is divided by 4?
3
Suppose -t = -0 - 17. Let k = t - -24. Calculate the remainder when k is divided by 22.
19
Suppose -v - 35 = -114. What is the remainder when 394 is divided by v?
78
Let x(w) be the third derivative of -w**4/24 - w**3/3 + 2*w**2. Let o be x(-5). Suppose -o*y - 3 = -9. What is the remainder when y is divided by 1?
0
Let g = 26 - 24. Let p(q) = -3 - 1 - q**g - 2 + 8*q + 2. Calculate the remainder when 22 is divided by p(6).
6
Suppose 0 = -2*g + 3*a + 38, 5*g - 3*a = -2*a + 108. What is the remainder when g is divided by ((7 - 2) + 8)/((-1)/(-1))?
9
Let y = -75 - -72. Let f be 4/14 - (-46)/(-14). What is the remainder when 19 is divided by (y/6)/(f/72)?
7
Let g = -102 + 96. Let j(l) = -l**3 - 3*l**2 + 10*l - 13. What is the remainder when 102 is divided by j(g)?
32
Let i be 2/(-4) - (-99)/6. Let m be 1 + i - (0 + 2). Let a = m + -12. Calculate the remainder when 5 is divided by a.
2
Suppose 20*i = -4*i + 120. Calculate the remainder when 73 is divided by i.
3
Suppose 8*f - 26*f + 522 = 0. Calculate the remainder when 492 is divided by f.
28
Let f(g) = 3*g - 11. Let d be f(6). Suppose 2*r = -2*o + 16, -4*o - 3*r + 26 = -7. Let p = d + o. Calculate the remainder when 45 is divided by p.
13
Suppose 2*u - 540 = -2*k, -3*u + 93 = -3*k + 873. What is the remainder when k is divided by 70?
55
Suppose -6*r + 267 + 87 = 0. Calculate the remainder when r is divided by 31.
28
What is the remainder when 2714/8 - ((-42)/24 - -3) is divided by 3?
2
Let o(t) = -3*t**2 + 22*t - 2. Let b be o(7). Suppose -5*w + 410 = -b*f, 5*f - 206 - 140 = -4*w. Calculate the remainder when w is divided by 22.
18
Let r = 10 + -20. Let j(h) = -1 - 1 + 28*h - 29*h - 2. Calculate the remainder when j(r) is divided by 3.
0
Let t = 28 + -14. Suppose t*i - 165 = 9*i. What is the remainder when 96 is divided by i?
30
What is the remainder when (9 - 2552/32)/((-3)/96) is divided by 151?
150
Suppose -19*l = -1208 - 369. Calculate the remainder when 143 is divided by l.
60
Let m = -196 + 258. Calculate the remainder when 742 is divided by m.
60
Let a(m) = 3*m**3 - 4*m**2 + 3*m + 1. Let v be a(3). Suppose 0 = 2*i - v - 45. Suppose -q + i = 4*q. What is the remainder when 17 is divided by q?
7
Let t(i) = -i**3 + 19*i**2 + 21*i - 20. Let s be t(20). Suppose s = -4*j + 9*j. Suppose 0*m + m - 15 = j. What is the remainder when m is divided by 4?
3
Suppose 36 = 2*u - 26. Let f be 10/(-25) - (-24)/10. What is the remainder when u is divided by f + -2 - (-5 - 3)?
7
Suppose -6*o + 273 = 15. What is the remainder when 188 is divided by o?
16
Let n = 455 + -266. What is the remainder when n is divided by 32?
29
Suppose 13*p = 3*p - 10. Let i be (-55)/(-10)*(-2 + 0). Calculate the remainder when 23 is divided by i/(22/(-12)) + p.
3
What is the remainder when 4 + 15/5 + 14 is divided by 11?
10
Let t(a) = 154*a + 4952. Suppose 2*m + m = 12, 5*s - 2097 = 2*m. Suppose -174 = -5*f + s. What is the remainder when f is divided by t(-32)?
23
Suppose 890 = 2*o + 3*g + 306, 0 = -4*o + g + 1196. Let m = o - 149. What is the remainder when m is divided by 4/12 + 565/15?
35
Let s = 379 + -158. Suppose 2373*d = 2340*d + 1848. What is the remainder when s is divided by d?
53
Suppose -28*w = -30*w + 6. Suppose -3*m - 16 = -5*m. What is the remainder when 21/((-1)/(w/(-2 - 1))) is divided by m?
5
Let j(s) = -8*s + 14. What is the remainder when 107 is divided by j(0)?
9
Calculate the remainder when (-26 - -16) + (0 - -104) is divided by 70.
24
Suppose -2*u = 5*c - 192, 12*c - 3*u + 79 = 14*c. Calculate the remainder when 143 is divided by c.
29
Suppose n = 6 - 0. Let c = 75 - -69. Calculate the remainder when ((-2)/6)/((-3)/c) is divided by n.
4
Suppose 1951 = 10*u + 601. Calculate the remainder when u is divided by 38.
21
Let n = -85 - -109. What is the remainder when 96 is divided by n?
0
Let d(j) = 5*j - 57. Let f(q) = -q**2 + q + 13. Let o be f(0). Calculate the remainder when d(o) is divided by 6.
2
Suppose 2*p - 3*c + 195 = 3*p, 4*p + 4*c - 812 = 0. Suppose -54 - p = -3*x. Calculate the remainder when x is divided by 23.
18
Suppose 5*o - 70 = -5. Suppose 0 = 8*p - 5*p - 117. Let v = -15 + p. What is the remainder when v is divided by o?
11
Let n(z) = z**2 - 4*z - 8. Let i = 538 - 524. Calculate the remainder when n(-6) is divided by i.
10
Suppose 3*z = -2*a + 94 + 12, -5*z = 2*a - 182. What is the remainder when (-1)/(2 + -3)*151 is divided by z?
37
Suppose -4*l + 596 = -4*t, l - 5*l + 2*t = -602. Suppose l = 5*g + 2*d, d = -3*g + 5*d + 86. Calculate the remainder when g is divided by 8.
6
Let r(a) = 27*a - 121. Calculate the remainder when 445 is divided by r(5).
11
Suppose 0 = -2*y + 4*h + 4, -3*y - 5*h = -h + 4. Suppose y = -0*b + b - 1. What is the remainder when 95 is divided by (-71)/(-3) + b/3?
23
Let m = -10 - -11. Calculate the remainder when (17/2)/((-1)/(-4)) is divided by ((-36)/(-3 + -1))/m.
7
Let p(j) = -62*j + 750. Suppose 0 = -2*o - 3*f + 40, -2*o - 3*f - f = -40. Calculate the remainder when o is divided by p(12).
2
Calculate the remainder when (-19)/(((2 - 7)/15)/1) is divided by 33.
24
Let j(m) = m**2 + 8*m + 22. Let n be j(-5). Suppose 3*a + n = 5*c, a - 10 = -5*c + 21. Calculate the remainder when a is divided by 5.
1
Let y = -66 - -58. What is the remainder when 75 is divided by ((-38)/y)/((-2)/(-8))?
18
Let u(w) = -w**3 - 27*w**2 - 18*w + 222. Suppose 7*h - 3*h - 160 = 0. What is the remainder when h is divided by u(-26)?
12
Let a(f) = f**3 - 21*f**2 - 19*f + 2. Calculate the remainder when a(22) is divided by 21.
5
Let r be 0/(-1) - 64/(-2). Suppose -4*j = 8 - r. Calculate the remainder when 33/((-198)/84) + 34 is divided by j.
2
Suppose 13 = 3*r + 5*u, 2*u + 3 - 5 = 2*r. Let h = 232 - 159. Calculate the remainder when h is divided by (r - 1/3)/(12/342).
16
Calculate the remainder when 10/40 + 604/16 + -3 is divided by 12.
11
Let r be 1 + 2*19/(-1). Let y be (-28)/(-6 + 140/25). Let p = r + y. What is the remainder when p is divided by 17?
16
What is the remainder when 232 is divided by 1 + (1 - (-34 + 1 - -1))?
28
Let v = 93 + -80. Calculate the remainder when 30 is divided by v.
4
Let t(k) = -28*k + 7. Let i be t(-10). Suppose 5*r = i - 72. Calculate the remainder when r is divided by 11.
10
Let v = 84 - 51. Let g = v + -25. Calculate the remainder when 18 is divided by g.
2
Suppose 4*f + 19 = l, 11*f = 6*l + 13*f - 10. Let m = 0 - -3. Calculate the remainder when l is divided by m.
0
Suppose 39*l = 43*l - 112. What is the remainder when l is divided by 19?
9
Suppose -2*a - 2 + 7 = -y, 0 = -5*a - 5*y + 50. Calculate the remainder when a is divided by 4.
1
Let p(j) = -j**3 + 10*j**2 + 2. Let i be p(10). Suppose 201 = i*o + o. What is the remainder when o is divided by (1 + -2)*-23*1?
21
Let w = 47 - 13. Calculate the remainder when w is divided by ((-6)/3)/(6/(-27)).
7
Suppose 4*l - 113 = 7. Suppose -474 = -4*s + j - 3*j, 0 = -3*j + 9. Calculate the remainder when s is divided by l.
27
Suppose -4*f - 21*c + 18*c + 50 = 0, 0 = -5*f - 5*c + 60. Calculate the remainder when f is divided by 2.
0
Let f = -1689 + 2174. Calculate the remainder when f is divided by 242.
1
Suppose 5*g + 3*r = 30, g - 8*r + 6*r = 19. Calculate the remainder when 58 is divided by g.
4
Suppose y + 22 - 48 = 0. Calculate the remainder when y is divided by 7.
5
Suppose 4*r + 8*q - 44 = 4*q, 0 = -2*r + 3*q + 2. Calculate the remainder when 32 is d