
1
Let o(t) = -119*t + 26. Let q be o(-1). Let j = 209 - q. Calculate the remainder when j is divided by 53.
11
Suppose -5*o = -2*v + 80, -10*v = -7*v + 2*o - 101. Calculate the remainder when v is divided by 25.
10
Let s(w) = -19*w + 35. Let f be s(-5). Suppose -14*b + f = -318. Calculate the remainder when 220 is divided by b.
28
Let r(w) = -w**2 - 5*w + 1. Let p be r(-2). Let d(g) = -45 - p*g + 29 + 16*g. Calculate the remainder when d(10) is divided by 5.
4
Let c = 131 + -69. What is the remainder when (-18)/(-12)*(640/12 + 4) is divided by c?
24
Let a = 242 + -202. What is the remainder when 0 + (162 - 5) - 2 is divided by a?
35
Suppose -3*z + 468 = -3*d, 72*z - 67*z - 3*d = 762. Calculate the remainder when 606 is divided by z.
18
Let u = -184 - -200. Suppose -u*m = -219 - 277. Calculate the remainder when 48 is divided by m.
17
Suppose 21*w = 16*w - 23*w + 11144. Calculate the remainder when 808 is divided by w.
12
Let k = -8158 - -8203. Calculate the remainder when 2201 is divided by k.
41
Suppose 3*t - 5101 = 2*z, -18*t - 2*z = -15*t - 5105. Calculate the remainder when t is divided by 6.
3
Suppose 3*c - 780 = -41*c + 18*c. What is the remainder when 2787 is divided by c?
27
Suppose -11*c - 14 = 30. Let q be (-330)/(-3) - 8/c. Let j = 4 + q. What is the remainder when j is divided by 17?
14
Let q(u) = -u**2 + 36*u - 31. Let r be 1*(-3 + -2)*-7. Calculate the remainder when 102 is divided by q(r).
2
What is the remainder when 68*((-108)/(-16))/9 is divided by 23?
5
Let f(s) = s**3 + 17*s**2 + 51*s + 228. Calculate the remainder when 413 is divided by f(-14).
5
Suppose 4*b = -3*n + 257, 893*n = -3*b + 895*n + 163. What is the remainder when b is divided by 11?
4
Let q = -628 + 1099. Suppose -y = 2008 - 2087. Calculate the remainder when q is divided by y.
76
Let p = 2 + 5. Suppose -3*m - 696 = -p*m. What is the remainder when (-2 - (-4)/3)/((-4)/m) is divided by 8?
5
What is the remainder when 232 is divided by (432/(-96))/(-1*2 - (-91)/46)?
25
Suppose -30*z + 27*z - 2*s + 1335 = 0, 0 = -4*s. Suppose 3*l + 632 = 4*f, -4*f + f + z = 5*l. Calculate the remainder when f is divided by 32.
27
Let p = -4512 - -4571. Calculate the remainder when 766 is divided by p.
58
Suppose -14*m = -6*m - 18 - 22. What is the remainder when 1038 is divided by m?
3
Let i(g) = -g**3 - 22*g**2 - 15*g - 121. Calculate the remainder when 1252 is divided by i(-22).
207
Let d(j) = -j**3 - 20*j**2 + 17*j - 68. Let f be (-38 - -13) + (0 - -4*1). Calculate the remainder when 36 is divided by d(f).
4
Suppose -2256 - 1779 = -160*f + 125. Let w = 57 - -17. What is the remainder when w is divided by f?
22
Calculate the remainder when (-12488)/(-18) - 3 - (-52)/234 is divided by 78.
67
Let c be (-182)/(-5) - (-2)/(-5). Suppose 0 = 4*q - 20 - c. Calculate the remainder when q is divided by 18*(20/(-8))/(-5) - 3.
2
Suppose -5*x + 2*t = -122, 4*x + 26 - 118 = -4*t. What is the remainder when 347 is divided by (66 - 0) + 1 + x/6?
63
Suppose 4*g = 5*m - 25, g - 3*m + 8 = -0*g. What is the remainder when (1 + 3/g)*(28 - 23) is divided by 1?
0
Let t(v) = -3*v**2 + v - 1. Let c(i) = 19*i**2 - 4*i - 38. Let a(h) = -c(h) - 6*t(h). What is the remainder when a(4) is divided by 2/(-4)*(-25 - -1)?
8
Let a(j) = -j**2 - 33*j + 195. Let g be a(-38). Suppose s = g*b - 283, -4*b + 252 - 16 = -4*s. What is the remainder when b is divided by ((-24)/10)/(3/(-15))?
8
Suppose 18*s + 78 = 57*s. What is the remainder when 56*1 + s/9*9 is divided by 6?
4
Suppose -i + 5*d = -29494 + 29540, 5*i + 5*d = 130. Let x(w) = 4*w**2 + 4*w + 2. Calculate the remainder when x(-3) is divided by i.
12
Let j(b) = -17*b**3 + 8*b**2 + 28*b + 36. Calculate the remainder when j(-3) is divided by 204.
75
Let f = -4 + 113. Let k = f + -36. Let o(u) = u**3 + 14*u**2 - 16*u. Calculate the remainder when k is divided by o(-15).
13
Suppose i - 2*n = 886, -373*i + 5*n + 2653 = -370*i. Calculate the remainder when 3504 is divided by i.
0
Suppose 7*i - 90 = -2*i. Suppose 0 = i*q - 89 - 51. Suppose 2*w - 7*w = -415. Calculate the remainder when w is divided by q.
13
Suppose -61*t + 42 = -60*t - s, 0 = 3*s + 9. Calculate the remainder when 812 is divided by t.
32
Let n be (-1370)/14 + -4 + (-3)/21. What is the remainder when n/9*165/(-10) is divided by 47?
46
What is the remainder when 11800/(-15)*-15*(-30)/(-200) is divided by 37?
31
Let o(a) = 100*a**2 - a - 2. Let s be o(2). Let x = 408 - s. What is the remainder when 33 is divided by x?
9
Suppose -222 = 11*v + 26*v. What is the remainder when 205 is divided by (-20)/(v/(6 - 3))?
5
Suppose 2*l + 4*l - 30 = 0. Suppose -2*a - l*b + 16 = -20, 2*a - 2*b - 22 = 0. Calculate the remainder when 60 is divided by a.
8
Suppose -q + r - 219 = -6*q, r + 1 = 0. Let i = q + -40. Suppose -46 = -i*s + 262. What is the remainder when s is divided by 21?
14
Suppose -2*f + 82 = 3*o, -6*o + 213*f + 185 = 214*f. What is the remainder when 2671 is divided by o?
15
Let d be -28*(-7 - 63/(-12)). Suppose 14*r = 427 + d. Let q(l) = -2*l + 1. Calculate the remainder when r is divided by q(-4).
7
Suppose -q - 2 = 4*r - 3, 0 = 4*r + 5*q - 21. Suppose -a = -91 - 11. Calculate the remainder when a is divided by r + (66/3 - 6).
12
Suppose 33 = 5*v - 42. Suppose 2*o = 5*r - 508, -4*o + 116 = r + 10. Calculate the remainder when r is divided by v.
12
Suppose -117*g + 445 + 41 = -450. Calculate the remainder when 476 is divided by g.
4
Calculate the remainder when 7620 is divided by (-3294)/(-36) - 17 - (-4)/(-8).
72
Suppose 57*g - 92 = 11*g. Let y(z) = z**3 - 7*z**2 + 6*z + 1. Let p be y(6). What is the remainder when ((p*-273)/7)/((-3)/g) is divided by 16?
10
Let l(x) = -x**3 + 32*x**2 + 32*x + 51. Let i be l(33). Suppose -t = -b + 56, i*b + 3*t + 109 = 20*b. Calculate the remainder when b is divided by 34.
25
Let a(t) be the second derivative of -t**4/6 - 11*t**3/6 + 3*t**2 + 4*t - 5. Calculate the remainder when ((-602)/(-21))/(2 + 12/(-9)) is divided by a(-5).
10
Let p(q) = -60*q + 28. Let t be (-2)/(-12) + 1*(-186)/36. What is the remainder when p(t) is divided by 33?
31
Suppose 3281 = 3*w + 4*r, -w - 47*r + 46*r + 1093 = 0. Let z = w + -470. What is the remainder when z is divided by 39?
36
Let s be 19*((-4)/(-2))/(-2). Let j = -13 - s. Suppose d - j*d = -35. What is the remainder when 34 is divided by d?
6
Suppose 6*w = -w + 1799. Suppose l + 189 = w. Calculate the remainder when l is divided by 30.
8
Let l be 373 - (-2)/(-8)*12. Let a = 446 - l. Calculate the remainder when 145 is divided by a.
69
Let o = 38 - 34. Suppose 3*t - 2107 = -5*d, -o*d - 2*t + 1692 = -6*t. What is the remainder when d is divided by 85?
82
Let l(t) = t**2 + 0 - 1 - 7*t**2 - t**3 + 10*t. What is the remainder when l(-8) is divided by -2*(-30)/(-4)*230/(-345)?
7
Let s(t) = 2*t**3 - 19*t**2 - 9*t - 4. Let x(j) = j + 1. Suppose -b - f - 3*f = -3, 2*b - 19 = 5*f. What is the remainder when x(b) is divided by s(10)?
2
Suppose 16*f = 448 + 1232. Suppose -17*j + f = -2*j. What is the remainder when 53 is divided by j?
4
Let y = -2515 - -2847. Calculate the remainder when 675 is divided by y.
11
Suppose -5*a - 343 = -38. Suppose -4*c = 7*t - 124, 2*c = 3*t - 22 - 20. Calculate the remainder when a/(-2) - 9/18 is divided by t.
14
Let b(x) = 2*x**2 - 7*x + 4. Suppose -166163 = -1715*h + 161402. What is the remainder when h is divided by b(4)?
7
Suppose 0 = 3*k - 2*u - 94, -3*k + 5*u = -103 + 21. Calculate the remainder when 518 is divided by k.
8
Suppose -3*o = k - 111, -332*o = -330*o + 5*k - 100. Calculate the remainder when 2235 is divided by o.
30
Let t = -27 - -196. Calculate the remainder when t is divided by 17/((-170)/360)*1/(-4).
7
Let m = -106 + 126. Suppose -32 = -4*x - 4*p, -3*x + 2*p + 13 = -26. Suppose 5*w + x = 6*w. Calculate the remainder when m is divided by w.
9
Suppose -5*x + 2*o + 6420 = 4898, 3*x - 930 = -3*o. Calculate the remainder when x is divided by 125.
56
Let q(l) be the first derivative of -11*l**2 + 59*l + 68. Calculate the remainder when q(-5) is divided by 17.
16
Suppose 22*v + 588 = v. Let n(c) = c**2 + 25*c - 70. Let k(g) = g**3 - g**2 - 5*g - 3. What is the remainder when k(4) is divided by n(v)?
11
Let z(y) = -y**2 - 8*y - 6. Let s be z(-5). Suppose 3*b - 48 = -s. Calculate the remainder when 8