24. Suppose 222 = -2*z + b*z. Calculate the remainder when z is divided by 31.
6
Let o = -2083 + 2143. Calculate the remainder when 850 is divided by o.
10
Let o(l) be the first derivative of -5*l**2 - 48*l + 8. Calculate the remainder when 82 is divided by o(-9).
40
Suppose 0 = 6*i + 13*i + 209. Let z(y) = -y**2 - 14*y + 22. Calculate the remainder when 877 is divided by z(i).
52
Suppose -4*g + 4*q = -220, -3*g - 5*q - 128 + 309 = 0. Suppose 5*t = 5*z - 59 - 131, 106 = 3*z - 5*t. Calculate the remainder when g is divided by z.
15
Let j(a) = a**3 + 21*a**2 + a + 21. Let i be j(-21). Let z(p) = 6*p - 6*p + 16 - p**2. What is the remainder when 45 is divided by z(i)?
13
Suppose m - 3*s + 6327 = 5*m, 0 = 5*m - s - 7904. What is the remainder when m is divided by 36?
33
Suppose 0 = -5*k - 4*a + 6561, 2*k + 5250 = 6*k + 3*a. What is the remainder when k is divided by 60?
57
Suppose 23*p + 16176 = 71*p. Calculate the remainder when p is divided by 114.
109
Suppose 0 = -31*v + 42*v + 9834. Let l = -877 - v. What is the remainder when 267 is divided by l?
12
What is the remainder when ((1 - -3) + -7)*(9 + -20) is divided by 14?
5
Calculate the remainder when 27/18*4/6 - 1020/(-6) is divided by 50.
21
Let z(l) = 12*l**2 + 303. Calculate the remainder when z(7) is divided by 294.
9
Let n = 738 + -623. Suppose 9 + n = 2*j - 3*x, -2*x + 4 = 0. Calculate the remainder when 713 is divided by j.
63
Let i(a) = 73*a**2 + 211*a + 420. Calculate the remainder when 835 is divided by i(-2).
255
Let z(j) = -j**3 + 12*j**2 - 24*j + 24. Let d be (-2 + -38)/(-4) + -1. Calculate the remainder when z(d) is divided by -2 + 56/2 - -2.
23
Let n = -23158 - -23364. What is the remainder when n is divided by 65?
11
Suppose -3*q + 61 = -k, 0*q = q + 5*k - 31. Calculate the remainder when 187 is divided by q.
19
Suppose -3*n = 5*o + 7 + 4, 5*n = 5*o - 5. Let y(q) = -29*q**3. What is the remainder when 405 is divided by y(o)?
28
Let y(f) = 5*f - 32. Let a be y(7). Suppose -3*v = -a, 2*v - 92 = -3*j - 3*v. What is the remainder when 228 is divided by j?
25
Let h(z) be the second derivative of -z**3/2 - 3*z**2 + 3*z. Let n(l) = l**2 - 8*l + 10. Let c be n(4). What is the remainder when 46 is divided by h(c)?
10
Let z(g) = 2*g**2 + g + 4. Let r(j) = j**3 + 139*j**2 + 1545*j + 2758. What is the remainder when r(-127) is divided by z(-3)?
15
Suppose -2*f + 162 = -698. Suppose -20*i - f + 1470 = 0. Calculate the remainder when i is divided by 7.
3
Let j be (-1 + 2)/(12/(-312)). Let u = j - -62. Suppose 4*m + 74 = o, -u = -5*o - 4*m + 238. Calculate the remainder when o is divided by 30.
28
What is the remainder when 951 is divided by -1*1*0 + (-1062)/(-9) + -11?
95
Let w(b) = -b + 25. Let t be w(23). Suppose -12 = -t*h - 4*h. Suppose -k = 4*u - 389, -u = -5*u + h*k + 386. What is the remainder when u is divided by 14?
13
Suppose -243 = 4*a - 647. Suppose k + a = 3*s, 0 = -5*s + 5*k - k + 159. Calculate the remainder when s is divided by 6.
5
Suppose -5*b - 50 = -185. Let o(c) be the first derivative of 46*c**3/3 - 9*c**2/2 + 22*c + 277. Calculate the remainder when o(2) is divided by b.
26
Let d(l) = 33*l - 1. Let k = 1214 - 1447. Let r = k - -266. What is the remainder when d(6) is divided by r?
32
Let z = -310 + 438. Suppose 2*v - 6*v = -z. Let t(c) = 3*c + 103. Calculate the remainder when t(8) is divided by v.
31
Let z be (1/(-1))/(2/38). Let v = -12 - z. Suppose -153*k + 154*k - 13 = 0. What is the remainder when k is divided by v?
6
Suppose -60*u - 94*u + 9193 = -125*u. What is the remainder when u is divided by 88?
53
Let k(w) = 18*w - 154. Let p be k(8). Calculate the remainder when 47*3*2/6 is divided by (p - (0 - 16))/(1/2).
11
Let s(x) = 6*x - 1. Let u be s(-1). Let q = u - -13. Suppose -4*j = 3*v - 63, -16*v + 19*v - 8*j = -5*j. Calculate the remainder when v is divided by q.
3
Let m(c) = -167*c - 2361. What is the remainder when m(-16) is divided by 139?
33
Calculate the remainder when (-52)/(18/576*-4) is divided by 213.
203
Let l(y) = y. Let j(v) = -7*v + 11. Let p(b) = j(b) + 6*l(b). Let t be p(6). Suppose 7 = 2*k - t. Calculate the remainder when 10 is divided by k.
4
Let j(n) = -2*n**3 + 18*n**2 - 16*n - 1. Let m be j(8). What is the remainder when (-1)/(m/((-477)/(-6)*2)) is divided by 40?
39
Suppose -4*b + 6*b = 5*j + 75, 0 = 5*j + b + 75. Suppose 1 - 3 = -r, 3*y - 46 = -5*r. Calculate the remainder when 5/j*33/(-1)*2 is divided by y.
10
Let i = -1012 + 1032. Suppose 4*t - 1668 = -8*t. Calculate the remainder when t is divided by i.
19
Let m(b) = -3*b**2 - 17*b - 111. Let d be m(-9). Let h = d + 225. Calculate the remainder when 46 is divided by h.
22
Suppose 73 = 2*g - 3*l, -g + 4*l + 76 = g. Let i be (14496/168)/((-3)/(-21)). Suppose t + 543 = i. Calculate the remainder when t is divided by g.
29
Suppose 0 = -4*y - 12, -y + 1432 = 5*m + 40. Let a = -232 + m. What is the remainder when a is divided by 11?
3
Suppose 2*x = -4*d + 84, 3*x = 6*d - 2*d - 84. Suppose 0*r + 5*r = 3*s - d, -2*s - 2*r = -14. Calculate the remainder when s is divided by 6.
1
What is the remainder when 2253 is divided by (5928/(-171) + 35)/(0 - 1/(-102))?
9
Let n(w) = -w**3 - 17*w**2 - 71*w - 10. Calculate the remainder when 297 is divided by n(-5).
27
Suppose -38*z = -2368 - 406. Calculate the remainder when 7150 is divided by z.
69
Let o(x) = -29*x + 267. Calculate the remainder when 313 is divided by o(9).
1
Let q(t) = t**2 + 2*t + 2. Let s(r) = -2*r**2. Let m(a) = -3*q(a) - 2*s(a). What is the remainder when 303 is divided by m(-4)?
31
Let r = -230 - -230. Suppose 32*m + m - 825 = r. What is the remainder when m is divided by (20/6)/2*12?
5
Let c(n) = -n**3 - 3*n**2 - 2*n - 5. Let h(l) = -l**2 - 2*l + 2. Let b(f) = c(f) + 4*h(f). What is the remainder when b(-6) is divided by 10*(-1)/(-2)*2?
7
Suppose 6*s + 4*f + 7384 = 8*s, -5*s - f + 18449 = 0. Calculate the remainder when (-11 + -1)/((-135)/s) is divided by 47.
46
Suppose 0*v + 26*v - 2624 = -6*v. Calculate the remainder when 234 is divided by v.
70
Let s(j) = 15*j - 32. Let x be (0 + -1)/((-357)/35 + 10). What is the remainder when s(x) is divided by 18?
7
Calculate the remainder when 717 is divided by 2043/45 + (-46)/161 + (-8)/70.
42
Let l(p) = 2*p**3 - 23*p**2 + 60*p + 14. Calculate the remainder when l(9) is divided by 29.
4
Let i = 8 - 2. Let s = -95 + 92. Calculate the remainder when i is divided by -5 - -3 - (s - 1).
0
Let h = 33582 + -33538. What is the remainder when 5977 is divided by h?
37
Let t = 123 + -115. Let r = 209 - 95. What is the remainder when r is divided by t?
2
Suppose -l + 4*o + 39 = 0, -o - 13 = 2*l - 136. Suppose -l = 5*k + 51. Let m = 29 + k. Calculate the remainder when 8 is divided by m.
1
Let u(x) = 10*x - 208. Calculate the remainder when 1055 is divided by u(24).
31
Calculate the remainder when 642 is divided by ((-48)/(-64))/((-12)/(-448)).
26
Suppose -2*g + 1198 + 1266 = 0. Suppose 18*u = 4*u + g. Calculate the remainder when u is divided by 182/12 - 3/18.
13
Suppose -2*y + 0*f - 2*f + 72 = 0, 0 = y - f - 34. Suppose 5*z - 13*a - 306 = -10*a, 0 = -a - 2. Let l = z - y. Calculate the remainder when 98 is divided by l.
23
Let h(o) be the third derivative of o**4/4 - 19*o**3/3 - 15*o**2. What is the remainder when h(10) is divided by 5?
2
Let n(s) = -2*s**3 - s**2 + 300*s + 50. Calculate the remainder when 899 is divided by n(12).
49
Suppose -25*y + 922 = -1103. Let o = -709 - -1112. Calculate the remainder when o is divided by y.
79
What is the remainder when (-2)/(-4) - 210/(-4) is divided by -1*(-40)/(-50)*-15?
5
Let a = 117 + -123. Let h(b) = -13*b - 63. Calculate the remainder when 73 is divided by h(a).
13
Calculate the remainder when 67 + (3 - 1) - 80/10 is divided by 19.
4
Suppose -131*d + 139*d - 56864 = 0. Calculate the remainder when d is divided by 90.
88
Let f(p) = 7*p - 7. Let h be f(3). Suppose -12*v - 178 = -h*v. Calculate the remainder when v is divided by 23.
20
Let c(v) = v**3 - 8*v**2 - 8*v - 1. Let u(s) = s**2 + 2*s + 28. What is the remainder when u(0) is divided by c(9)?
4
Let x = 1073 + -1038. Calculate the remainder when 3254 is divided by x.
34
Let i(f) = -3*f + 32 - 2*f - 3*f**2 + 29*f**3 - 13*f**3 - 15*f**3. Calculate the remainder when i(6) is divided by 16.
14
Let n =