7.
24
Suppose -12*z - 23 = 49. Let f(r) = -r**3 - 14*r**2 + 12*r + 5. Calculate the remainder when f(-15) is divided by 3 + 12 + 3/(9/z).
11
Suppose 116 = 4*u + 36. Let c(o) = -8*o**3 + o**2 - 3*o - 4. Let s be c(-1). Calculate the remainder when u is divided by 21/56 + 85/s.
9
Suppose 24*k + 41*k = 14*k + 22695. Calculate the remainder when 1341 is divided by k.
6
Suppose n = 4*c + 2*n - 38, -n + 48 = 5*c. Calculate the remainder when 46 is divided by c + 3/(-3) + (1 - 5).
1
Suppose -49 = -o - 27. Suppose 12*a = o*a - 160. Calculate the remainder when 92 is divided by a.
12
Let x(s) = s**3 - 45*s**2 - 88*s + 15. What is the remainder when x(47) is divided by 51?
42
Suppose p - 29 = 5*q, -2*q - 12 = 5*p - 157. Calculate the remainder when 279 is divided by p.
18
Suppose -39 = 2*w - 7. Let b = -11 - w. Suppose 0 = 2*m + 2*m + y - 19, 24 = b*m + y. What is the remainder when 22 is divided by m?
2
Let o(l) = 77*l - 279. Let g be o(4). What is the remainder when 158 is divided by (g/(87/(-96)))/(2/(-1))?
14
What is the remainder when 1*230715/15 + -13 is divided by 145?
143
Let h = 121 - 119. Suppose n = -2, -4*d + h*n + 154 = 5*n. Calculate the remainder when d is divided by 18.
4
What is the remainder when (-7)/(-4 + 3) + 311/2*50 is divided by 181?
180
Suppose -301*j - 351 = -314*j. Suppose 36*n - j*n = 459. Calculate the remainder when n is divided by 8.
3
Suppose 24*l + 86 = 28*l - 3*s, l - 33 = -5*s. Calculate the remainder when 3011 is divided by l.
21
Let s(a) = -54*a + 11. Suppose -4*f + 39 = -5*i, -3*i - 4*f = -5*i - 18. Calculate the remainder when s(i) is divided by 15.
14
Let c(r) = -r**3 + 130*r**2 + 128*r + 704. What is the remainder when c(131) is divided by 95?
26
Suppose 30*r = 50*r - 960. What is the remainder when 84 is divided by r?
36
Let z = 99 + -144. Let f = z - -47. Suppose p + 0*s - 44 = s, 0 = f*p - 4*s - 86. Calculate the remainder when p is divided by 12.
9
Let k = 2 - -102. Let w = 42885 - 42832. Calculate the remainder when k is divided by w.
51
Let t(q) = -3 + 0 + 3*q - 10*q. What is the remainder when 4/8 + (1830/330)/((-2)/(-11)) is divided by t(-2)?
9
Suppose 4*y + 4*j = 0, y - 6*y = -2*j - 28. Suppose k + 3*s = 14, 0*s - 4*s = -y*k - 24. What is the remainder when 28 is divided by (-4)/k*(75/10 - 5)?
8
Let q(g) = -9. Let u(n) = -n + 6. Let r(t) = 1. Let j(d) = 2*r(d) + u(d). Let b(v) = -2*j(v) - 3*q(v). Calculate the remainder when 30 is divided by b(0).
8
Let w = -276 - -516. Suppose -o - w = -5*b, -245 = -9*b + 4*b + 2*o. What is the remainder when 138 is divided by b?
44
Suppose -314*n + 100 = -309*n. Calculate the remainder when (-4)/(-10) - (-72)/n is divided by 3.
1
Let k = 1 - -14. Suppose 53120 = 471*v + 857*v. What is the remainder when v is divided by k?
10
Suppose -35*d + 37*d - 282 = 2*a, -288 = -2*d - 4*a. Let n = -15 + 36. What is the remainder when d is divided by n?
16
Let i = 4743 - 3446. What is the remainder when i is divided by 77?
65
Let h = 60 - 58. Suppose 3*g - 10 = -5*t + 14, h*t - 15 = -3*g. What is the remainder when -2 - (3 - 4) - (-174)/g is divided by 10?
7
Suppose -10*c = -3*c + 231. Let p = 38 + c. Suppose -65 = -p*v + 5*y, 4*v + 2*y = v + 44. What is the remainder when 38 is divided by v?
10
Calculate the remainder when -5 + 1527 + -4 - (21 - 13) is divided by 42.
40
Suppose 3*q + 45 = 4*h, -2*h - 4*q = -0*q - 6. Let b(i) = 2*i**2 + 14*i - 30. Let z be b(-7). What is the remainder when z/(-3)*4 + 4 is divided by h?
8
Let b = -330 + 337. Let l(v) = v**3 + 7*v**2 - 2*v - 5. Calculate the remainder when l(-7) is divided by 0 - ((-36)/3 + b).
4
Suppose 5*u - 6847 = -4*a, 2*a - 1758*u - 3424 = -1760*u. What is the remainder when a is divided by 342?
3
Let p be (-6)/(-4) - 25/(-10). Suppose -4*j = 4 + 12, 2*k + 5*j - p = 0. Calculate the remainder when 42 is divided by k.
6
Let y(g) = -7*g**2 + 10*g + 4. Let i = 72 - 66. Let k(u) = -15*u**2 + 20*u + 9. Let z(l) = i*k(l) - 13*y(l). What is the remainder when z(-6) is divided by 25?
23
What is the remainder when (-1996)/8982 + 8*(-3803)/(-18) is divided by 36?
34
Suppose -60*a + 1519 = -30*a - 12281. What is the remainder when a is divided by 150?
10
Let l(m) = 27*m**2 - 204*m - 18. Let r be l(8). Suppose i - 3*i + 118 = 0. Suppose 62*o = i*o + r. What is the remainder when 51 is divided by o?
25
Suppose 5*u - 198 = -3*i, -327*i + 5*u = -324*i - 198. What is the remainder when 5476 is divided by i?
64
Suppose -815 = -68*s + 65*s + 889. What is the remainder when s is divided by 19?
17
Suppose -4*r = -3*r - 2. Suppose 0 = -5*z + 16*z - 2178. Let p = z + -187. Calculate the remainder when p is divided by r.
1
Suppose 0 = 3*z - 3, -83 = t + 2*t - 2*z. Let i(g) = -g**3 - 25*g**2 + 50*g - 59. What is the remainder when 56 is divided by i(t)?
7
Suppose -8*g + 11*g - i = 3508, 0 = 2*g + 3*i - 2324. Calculate the remainder when g is divided by 580.
8
Let h(q) = -23*q + 2. Let n(l) = 4*l + 55. Let r be n(-14). Calculate the remainder when 122 is divided by h(r).
22
Let b(n) = -10*n + 24. Let h(g) = -10*g + 24. Let j(k) = 4*b(k) - 5*h(k). What is the remainder when 23 is divided by j(4)?
7
Suppose -2*r = -3*m - 86, -r - m - 42 = -2*r. Let p be 3/(-36)*2276 + (-1)/3. What is the remainder when (-6)/9*3/5*p is divided by r?
36
Suppose -2*c + 3*c = 0. Suppose -k = -c*k. Suppose k*i + 3*w = 2*i - 1, -4*i + 17 = -3*w. What is the remainder when 12 is divided by i?
4
Let t(f) = 2*f**2 + 8*f + 61. Suppose -215 = -3*r - 44. Calculate the remainder when t(10) is divided by r.
56
Let x = -60 + 69. Suppose -7*a + x*a = -296. Let c = -94 - a. Calculate the remainder when c is divided by 11.
10
Let b(v) = -31*v + 2672. Calculate the remainder when b(82) is divided by 32.
2
Let r(j) = -j**2 + 10*j - 21. Let a be r(5). Suppose -a*h = -h - k - 51, 4*k - 84 = -4*h. Calculate the remainder when h is divided by 1.
0
Suppose -3*i = -56 - 142. Let s = 1239 - 778. Calculate the remainder when s is divided by i.
65
Let g(o) = 2*o**2 + 10*o - 164. What is the remainder when g(-16) is divided by 61?
5
Suppose b - 5 = 0, -2*u + 4*b = 34 + 66. Calculate the remainder when 16 is divided by (-33)/(-2 + -1) + u/(-20).
3
Suppose -5*n - 30*h + 31*h = -811, n = 4*h + 166. Calculate the remainder when n is divided by 10.
2
Calculate the remainder when (3108/8)/(6/36) + 3/1 is divided by 2332.
2
Let t(a) = -4*a**2 - 289*a + 337. What is the remainder when 9083 is divided by t(-73)?
115
Suppose 0 = 27*h - 29*h + 14, 0 = 4*z - 2*h - 16234. Calculate the remainder when z is divided by 19.
15
Let p = 15703 + -15477. What is the remainder when 1046 is divided by p?
142
Let q = 205 + -183. Suppose q*f + 22 = 23*f. What is the remainder when 152 is divided by f?
20
Suppose -w + 2*j = -746 + 177, -4*w - 5*j + 2302 = 0. Calculate the remainder when w is divided by 22.
1
Suppose 0 = -2*c - 4, -4596*a - 4*c = -4592*a - 28. Calculate the remainder when 158 is divided by a.
5
Let f(j) = -2*j**2 + 8*j + 26. Let m be f(6). Suppose 1122 = m*s + 4*a, -4*s + 5*a = -9*s + 2795. Calculate the remainder when s is divided by 80.
77
Let b(j) = -2*j**2 - 291*j + 972. Calculate the remainder when b(-147) is divided by 43.
15
Let o = -4530 - -6823. Calculate the remainder when o is divided by 17.
15
Let n(q) = -186*q**2 - 1998*q + 9. What is the remainder when n(-10) is divided by 14?
3
Suppose -4*a - 11 = -l, 7 - 2 = a. Let u = -6903 - -6960. What is the remainder when u is divided by l?
26
Suppose 4*p + 52 = 20, 0 = g - 2*p - 209. Calculate the remainder when 238 is divided by g.
45
Let r be 3*3/(-15) + 651/(-15). Let h = 55 + r. Suppose 0 = h*j - 149 - 16. What is the remainder when 58 is divided by j?
13
Let u be 9/(-3)*2*(-2)/(-12). Let m be ((-18)/(-72))/(u/(-20)). Suppose -3*v + m*v = 4*c - 60, 4*v = -3*c + 67. What is the remainder when 33 is divided by c?
16
Let b = 10 - 7. Let w be 358/3 + ((-48)/(-9))/(-4). Suppose 0 = -2*z + 2*g + w, -b*z = 3*g + 2*g - 137. What is the remainder when z is divided by 14?
12
Let u = 131 - 102. Suppose -4*b + 629 = 177. Calculate the remainder when b is divided by u.
26
Let b(f) = 3*f**3 + 60*f**2 - 63*f + 36. Let h(s) = 14*s + 2. What is the remainder when h(8) is divided by b(-21)?
6
Suppose -4*s + 15*u - 16*u = -14, -2*s - 38 = -4*u. Calculate the remainde