Suppose 5*d = 4*f + 108, 4*d - 44 = 3*f + 42. Suppose -h - 3*h = -d, -s + 4*h = -18. Let o = 38 + s. What is the remainder when o is divided by 22?
10
Suppose -17*b + 60 = -5*b. Let q(n) = 2*n**2 - 12*n + 13. Let y be q(b). Suppose -160 = -y*c - 2*c. Calculate the remainder when c is divided by 12.
8
Suppose -3*h - 2*f = -496 - 123, -h - f = -208. Calculate the remainder when h is divided by 83.
37
Let q = 3058 + -2911. Calculate the remainder when 279 is divided by q.
132
Suppose -10*p = -3*k + 1246, k = 4*p - 0*p + 416. What is the remainder when k is divided by 69?
67
Suppose 4*i - 2*k + 8 = 0, 0 = 5*i + 3*k - 5 - 7. Suppose i = -5*t - 0*g - 3*g + 680, -2*t - 5*g = -272. What is the remainder when t is divided by 6?
4
Suppose 0 = -t - 4*i + 14, 5*i = -4*t + 9 - 8. What is the remainder when -2 + 11*(0 + 2) is divided by 6*((-20)/(-55))/(t/(-33))?
8
Let g(p) = 4*p - 6. Let f be g(2). Suppose -f*s - 2*b + 112 = 0, 3*b + 36 = 4*s - 3*s. Suppose -28 - 102 = -5*i. What is the remainder when s is divided by i?
25
Let w(t) = -t**3 + t**2 + t - 18. Let s(z) = 3*z**3 - 3*z**2 - 4*z + 53. Let n(a) = -4*s(a) - 13*w(a). Calculate the remainder when n(5) is divided by 40.
17
Let t(r) = 27*r. Let x be t(-6). Let f be 3/(-1)*-5*x/(-30). Suppose f - 213 = -4*j. What is the remainder when 131 is divided by j?
32
Suppose 2*p - 5*w = -135, 0 = 3*p - 2*w + 208 + 11. Calculate the remainder when (2430/p)/(2/(-10)) is divided by 55.
52
Let n be 470 + ((-32)/24 - 6/9). Let h = -440 + n. Calculate the remainder when (9*-23)/((-9)/6) is divided by h.
26
Suppose 8 = 2*q, 3081 = 4*a - 2*q - 2031. Calculate the remainder when a is divided by 319.
4
Suppose -2*g + 3*t = -632, -9*t = -4*g - 6*t + 1258. What is the remainder when g is divided by 151?
11
Suppose 0 = -2*l + m - 3*m + 408, -2*l - 4*m + 412 = 0. Calculate the remainder when l is divided by 61.
19
Let w = -2 - 213. Let f be (-14)/56 - w/(-4). Let v = f - -137. Calculate the remainder when v is divided by 21.
20
Suppose 119*u - 2 = 121*u. Suppose 0 = p - 11 + 1. What is the remainder when (-1334)/87*(u + 1/(-2)) is divided by p?
3
Let w(c) = -c**3 + 18*c**2 + 20*c + 2. Let h(n) = n**3 + 39*n**2 + 69*n - 46. Calculate the remainder when h(-37) is divided by w(19).
13
Let b(q) = 10*q + 1. Suppose 32*l = -9*l + 10045. What is the remainder when l is divided by b(3)?
28
Calculate the remainder when 148 is divided by (2/22)/((-14)/28) + (-10488)/(-209).
48
Let k = -58 - -378. Suppose 0 = -5*l + 2*f + k, 2*f = -5*l + 269 + 71. Let y(t) = -t**3 + 10*t**2 + 23. Calculate the remainder when l is divided by y(10).
20
Suppose 0 = 39*a - 41*a + 2. Let u(z) = 47*z**2 + 4*z - 3. Let g(w) = -31*w + 3. What is the remainder when g(-6) is divided by u(a)?
45
Suppose 644*d = 642*d + 88. Suppose 0 = 187*y - 182*y - 405. What is the remainder when y is divided by d?
37
Let q(v) = v**3 - 17*v**2 - 20*v + 39. Let t be q(18). Suppose 0 = -g - t*i + 10, 0*g + 32 = 5*g - 3*i. Calculate the remainder when 776 is divided by g.
6
Let l(o) = -o**3 - 7*o**2 + 3*o - 138. Calculate the remainder when 306 is divided by l(-10).
42
Let n(r) = 10*r - 3. Let a(l) = 0*l**3 - 42*l + 2*l - 14*l + 12 + l**3 + 24*l**2. What is the remainder when a(-26) is divided by n(2)?
13
Let o = 86 + -20. Let r = o + -58. Calculate the remainder when 106 is divided by 22/(-6)*(2 - r).
18
Let v(r) = r**2 + r - 2. Let u be v(-4). Let d(p) = 3*p - 10. Suppose -370 = -41*l + 36*l. Calculate the remainder when l is divided by d(u).
14
Suppose 3*s = j - 290, 3*s + 679 - 96 = 2*j. What is the remainder when 372 is divided by j?
79
Calculate the remainder when 4464 is divided by 1/((147/497)/21).
62
Let f(x) = 64*x + 54. Let t be f(-5). Let n be (-4)/(8/1)*t. Suppose 0 = -5*s + 17 + n. Calculate the remainder when 81 is divided by s.
21
Suppose -2*u + 6*u - 5*p - 740 = 0, -2*u - 5*p + 400 = 0. Suppose -3*y = 143904 - 144000. Calculate the remainder when u is divided by y.
30
Suppose -o + 6*o = -280. Suppose 297 + 1298 = 11*i. Calculate the remainder when (o/(-70))/(2/i) is divided by 20.
18
Suppose 5*t = -p + 138, 5*t - 444 = -5*p + 326. Calculate the remainder when p is divided by 78.
2
Let c = -54 - -87. Let w(l) = 7*l**2 + 16*l + 12. Let n be w(-5). Suppose 7*p = n + 26. What is the remainder when c is divided by p?
14
Suppose 0 = -2*s + n - 2 + 6, 4*n + 16 = -5*s. Let v = s + 9. Calculate the remainder when (-24)/(-15)*(-30)/(-4) is divided by v.
3
Let l = 12 + -16. Let m(u) = u - 1. Let y(s) = 109. Let o(d) = l*m(d) - y(d). Calculate the remainder when 71 is divided by o(-30).
11
Let g = -26205 - -26220. Suppose -4*l - 313 = -1021. What is the remainder when l is divided by g?
12
Let u(c) = c**3 - 19*c**2 + 42*c - 418. What is the remainder when 13761 is divided by u(18)?
13
Let q = 9 - 4. Let i = -26 + 30. Suppose t = -i*y + 68, -q*y + 14 = -2*t - 71. Calculate the remainder when y is divided by 6.
5
Let w = -39843 - -39962. Let p = -26 + 56. Calculate the remainder when w is divided by p.
29
Suppose 8629 = 36*w + 2005. Suppose -10*v + w + 126 = 0. Calculate the remainder when 679 is divided by v.
28
Calculate the remainder when 1720 is divided by ((-9)/(-6))/(-1)*((-1141)/21 - -9).
20
Suppose 4*j = 5*b + 134, j + 3*j + 136 = -4*b. Let x be (-62)/20 - 3/b. Calculate the remainder when (x - 8/(-2))*33 is divided by 12.
9
Let v(n) = 518*n + 12. Let h be v(2). Suppose 0 = -5*z + 12 + h. What is the remainder when z is divided by 56?
44
Suppose -2*p - 2*w + 34 = 0, 2*p - 4*w = -2*p + 28. Let z = -26377 + 26411. What is the remainder when z is divided by p?
10
Let v = -1456 + 1498. What is the remainder when v is divided by 32?
10
Let q(m) = -2*m + 31. Let a(x) = -x + 10. Let y(v) = -8*a(v) + 3*q(v). Let c be y(-5). What is the remainder when 97 is divided by (-135)/30*(-22)/c?
31
Let s = -102 - -107. Suppose 8 = 5*p + u, -3*u - s = 2*p - 3. Calculate the remainder when 3 is divided by p.
1
Suppose 69 = 14*a - 1. Let i(v) = -v**2 - 9*v + 4. What is the remainder when i(-5) is divided by a?
4
Let q(v) = v**2 - 28*v + 80. Let y be q(25). Suppose 15 = -y*r + 2*r, -99 = -s + 3*r. Calculate the remainder when s is divided by 41.
2
What is the remainder when 60 is divided by 1*(0 + 14)*(-28)/(-8)?
11
What is the remainder when (2 - -23) + 4/2 is divided by ((-435)/(-420)*-7 + (-4)/16)*-2?
12
Suppose 254*d + 74272 = 298*d. What is the remainder when d is divided by 337?
3
Let g(b) be the third derivative of b**5/30 + 5*b**4/6 + 31*b**3/6 - 23*b**2 - 1. What is the remainder when g(-12) is divided by 22?
13
Suppose 0 = 768*p - 781*p + 143. What is the remainder when 2461 is divided by p?
8
Let z = 269 - 256. What is the remainder when z is divided by 66/4*22/33?
2
Let v(r) = -2*r**3 + 6*r**2 + 58*r + 287. What is the remainder when 834 is divided by v(-4)?
276
Let w(u) = 5*u - 48. Let r be w(10). Suppose -5*d - 2*g + 154 = 43, -r*d = -3*g - 52. What is the remainder when 134 is divided by d?
19
Let c = -33 - -36. Let x(v) = -4*v**3 + v + v + c*v**2 - 2 + 3*v**3. Calculate the remainder when 13 is divided by x(3).
1
Let u = -105 + 117. Calculate the remainder when ((-12)/(-15))/((-6)/(-885)) is divided by u.
10
Let v be 730/6 + -1 - 184/276. What is the remainder when 1/6 + 11740/v is divided by 10?
8
Suppose 15*q = 14*q - 5*i + 1456, -q - 3*i = -1462. What is the remainder when q is divided by 16?
15
Let t be (2/5)/(1/5). Suppose -80*o + 137 + 103 = 0. Suppose 3*v - z = t*z + 75, -9 = -v - o*z. What is the remainder when 60 is divided by v?
18
Suppose -5*z + 52 = 2*f, 64 = 6*f - 3*f + 4*z. Suppose -32 = -f*g + 15*g. What is the remainder when g is divided by (-2)/(-5) + 43/5?
5
Let t = 5900 + -5880. What is the remainder when 477 is divided by t?
17
Let n(q) = -7 + 10*q + 3 - 19*q + 11*q. Suppose -3*o = -0*o - 72. Calculate the remainder when o is divided by n(9).
10
What is the remainder when -6 + 699 + -7 - 5 is divided by 91?
44
Suppose -4*i + 3*r = -5, -5*i + 15 = r + 4. Suppose -3*y + 4*y - 19 = 0. Calculate the remainder when -1 + -2 + (2 + i - -73) is divided by y.
17
Suppose 43*c + 1580 = 4848. Calculate the remainder when 1213 is divided by c.
73
Let s be (-42)/63*((-4)/(-1) + -1). Calculate the remainder when (-3 - (-3 - -2))*-37 is divided by (-19 + 17)/(s/26).
2