 = -3*y - 5363. What is the remainder when 161 is divided by y?
31
Let b(c) = -4*c**3 - 2*c**2 - 7*c - 110. What is the remainder when b(-5) is divided by 26?
11
Let d(f) = f + 33. Let j(w) = 7*w**2 - w. Let r be j(1). Let g(q) = q + 17. Let t(c) = r*d(c) - 13*g(c). Calculate the remainder when t(-13) is divided by 14.
12
Let k be (3 - (-2)/(-1)) + -2. Let j(q) = 9*q**3 - 2*q**2 - 22*q + 44. Calculate the remainder when j(2) is divided by (0 + k)*0 - -17.
13
Let k = -209 + -96. Calculate the remainder when (-2)/(-2)*4/(-10)*k is divided by 55.
12
Let n = 3639 - 3597. Calculate the remainder when 100 is divided by n.
16
Suppose -1567 = -2*x + 2547. Suppose -24*a = -7*a - x. Calculate the remainder when a is divided by 31.
28
Suppose -3*p = -4*p - 6*p. Suppose 0 = -5*c - 4*y + 334, p = c + c - 2*y - 130. Calculate the remainder when c is divided by 17.
15
Let a(p) = 561*p**3 - 10*p + 9. What is the remainder when a(1) is divided by 187?
186
Suppose 251*u - 250*u = 2*h + 727, -4*u + 5*h + 2896 = 0. Calculate the remainder when u is divided by 70.
19
Let a(f) = 4*f**2 - 50*f + 176. Calculate the remainder when a(12) is divided by 97.
55
Let i be 4/(-26) + 2758/182. Suppose 0 = -t - i*t + 1680. What is the remainder when t is divided by 5?
0
Let p(r) be the second derivative of 11*r**5/20 + r**4/12 - r**3 - 9*r**2/2 - 6*r. What is the remainder when p(3) is divided by 28?
27
Let x(h) = 4*h + 21. Let v be x(-6). Let a(s) = -4 - 4*s - 1 + 0*s. Calculate the remainder when 19 is divided by a(v).
5
Let h(j) = -j**3 + 22*j**2 - 22*j + 33. Let o be h(21). Suppose -3*s + o = -21. Let r = 8 + -2. Calculate the remainder when s is divided by r.
5
Let s(g) = g**3 - 6*g**2 - 7*g - 10. Let y = -11 + 19. Suppose 5*j - 28 = 2*z + 79, z - 32 = -2*j. Calculate the remainder when s(y) is divided by j.
5
Suppose -3*w = -4*b - 35, -w + 35 - 10 = -4*b. Suppose -4*t - 199 = -3*j, 4*t + 345 = w*j - 0*j. Calculate the remainder when j is divided by 15.
13
Suppose -11 = 8*w - 155. Suppose 2*i = 5*i - w. Suppose -10*v + 6*v = -60. What is the remainder when v is divided by i?
3
Let l(a) = -6*a**3 + 360*a**2 + 15. Calculate the remainder when 343 is divided by l(60).
13
Let d = -115 - 28. Let p be 6*(4 + (-860)/(-24)). Let a = p + d. What is the remainder when a is divided by 33?
30
Suppose 5*r = 5*d + 8020, -5*r + 1859 = 4*d - 6233. What is the remainder when r is divided by 71?
50
Let i(s) = s**2 - 72*s - 4300. Calculate the remainder when i(114) is divided by 104.
72
Suppose 6*q - 15 = 15. Suppose -4*z + 9*z - 2*p - 74 = 0, 4*z - 3*p = 55. Calculate the remainder when z is divided by q.
1
Suppose -2*g - 16 = 5*n, -2*n + 8 = 3*g - 7*g. Calculate the remainder when (-1)/g + 5 + (-1450)/(-15) is divided by 37.
28
Calculate the remainder when (-2)/((-3)/(46*3)) is divided by (-18)/(-15)*(-220)/(-11).
20
Suppose -v + r = 0, -2*v - 4*r + 3 = -3. Suppose 59 = 4*g - 3*h, g + 2*h - 36 = 7*h. What is the remainder when v/(-2*(-1)/26) is divided by g?
2
Suppose 2*m + l = 3*l + 8430, 0 = -m - l + 4223. Calculate the remainder when m is divided by 63.
61
Suppose 273*x + 304*x = 609*x - 42752. Calculate the remainder when 4021 is divided by x.
13
Calculate the remainder when (-18)/(-243) - 7133966/(-378) is divided by 33.
30
Let v = -215 - -319. Suppose 4*y - v = 13*l - 15*l, -4*l = -y + 44. What is the remainder when 139 is divided by y?
27
Let h be 1 + (0 - -3) + 4. Let a be 15 - -2*(-4)/h. Suppose 62 = 4*c - a. What is the remainder when 32 is divided by c?
13
Suppose 10728 = -7*y + 25*y. Suppose f = -553 + y. What is the remainder when f is divided by 11?
10
Let p(d) = -d**3 + 8*d**2 + d - 3. Let o be (-4)/(-18)*-3*(-45)/(-10). What is the remainder when p(o) is divided by 24?
21
Let q be (0 + -22)*((-6)/(-12) + 1). Suppose 0 = 4*d + 5*x - 217, -3*d - 33 = -3*x - 162. Let s = q + d. What is the remainder when 57 is divided by s?
12
Suppose 4*d = 360 - 40. Let c = 98 - d. What is the remainder when 56/(4/2) - -2 is divided by c?
12
What is the remainder when 3374 is divided by ((-2420)/2178)/(2/(-243))?
134
Suppose 0 = 16*i + 553 + 7. Let m = 2 + 3. Calculate the remainder when m is divided by (-15)/(-10) + 1*i/(-14).
1
Suppose 18 = u - 3*s, -4*u - 5*s + 25 = -47. Suppose -51 = -3*z + v + 36, 58 = 2*z - 2*v. What is the remainder when z is divided by u?
11
Let x(c) = 2*c**3 + 5*c**3 - 2*c + 12*c**3 - 7*c**2 - 1 + 8*c. Calculate the remainder when 62 is divided by x(1).
11
Suppose -69*u = -41*u - 10472. What is the remainder when u is divided by 9?
5
Suppose 0 = -4*v - 24, 3*i - 336 - 495 = -2*v. Calculate the remainder when i is divided by 153.
128
Suppose 5*r - 12 = 2*r. Suppose -r*s - 90 = -5*s. Let v = -71 + s. Calculate the remainder when 54 is divided by v.
16
Suppose 0 = 194*z - 172*z - 9548. What is the remainder when z is divided by 109?
107
Let i = -4501 + 5000. Calculate the remainder when i is divided by 175.
149
Calculate the remainder when 1361 is divided by (-8)/(-2)*272355/804.
6
Suppose 0*w - 29 = -d + 5*w, -4*w = -d + 24. Let i = -610 + 618. Suppose -16 = -d*v, i*u - 2*v - 107 = 3*u. Calculate the remainder when 43 is divided by u.
20
Let g(p) = 3818*p**2 - 2*p - 3. What is the remainder when g(-1) is divided by 17?
9
Suppose 2*d = -5*c + 127, -2*d + 162 = -c - c. What is the remainder when 305 is divided by d?
1
Let j be 3*76*174/18. Suppose -j = -25*b + 6*b. Suppose -h - 2*h - 4*l = -88, 4*h + 4*l = b. What is the remainder when h is divided by 10?
8
Let k = 890 + -886. Suppose 10*q = k*q + 432. Calculate the remainder when 85 is divided by q.
13
Suppose d = -7*u + 9*u - 105, 2*u = 3*d + 103. What is the remainder when 55 is divided by u?
2
Suppose 2*b + 12 - 18 = 0. Suppose -b*y + 0*y = -27. Suppose 56 = 3*l - 4*a, 5*a = 4*l - 0*a - 73. Calculate the remainder when l is divided by y.
3
Suppose 344*k + 100*k - 8320 = 28*k. Calculate the remainder when k is divided by 19.
1
Let h = -1795 - -2506. What is the remainder when h is divided by 182?
165
Let n(w) be the third derivative of w**5/30 - 11*w**4/24 + 10*w**3/3 - 6*w**2. Suppose -4*d - 27 = -131. What is the remainder when d is divided by n(5)?
11
Let v(x) be the second derivative of -x**3/6 + 9*x**2/2 + 94*x. Calculate the remainder when 23 is divided by v(0).
5
Let l = 10575 - 7365. What is the remainder when l is divided by 73?
71
Let a(c) = 3*c - 7. Suppose -3*u + 59 = 4*v, -5*u - 5*v + 154 - 59 = 0. Let q(j) = -j + 54. Calculate the remainder when q(u) is divided by a(7).
9
Let n = -35619 - -35738. Calculate the remainder when 202 is divided by n.
83
Suppose 0 = -255*x + 237*x + 1818. Calculate the remainder when 113 is divided by x.
12
Suppose -5*z = -o - 354, 103*o = -2*z + 102*o + 143. Calculate the remainder when 262 is divided by z.
49
Let i(j) = -61*j**2 + 111. What is the remainder when i(0) is divided by 14?
13
Let h = 230 - 151. Calculate the remainder when h is divided by (-28)/6*765/(-170).
16
Let f be 2588/18 - 8/(-36). Suppose -8 = -3*u + 2*u. Suppose 4*q - u*q = -f. What is the remainder when 106 is divided by q?
34
Let s(u) = -30*u + 151. Let z be s(0). Suppose 5*w - z = -2*v, -3*v - 156 + 425 = -w. What is the remainder when v is divided by (-2)/8 - (-194)/8?
16
Let l = -5529 - -6327. Calculate the remainder when l is divided by 20.
18
Let v(d) = -61*d**2 - 5*d. Suppose k = -7 + 5. Let n be v(k). Let x = -158 - n. Calculate the remainder when x is divided by 13.
11
Suppose h + 8 = 5*p - 19, 5*p - 31 = 3*h. Let a(w) = -17*w + 33. Calculate the remainder when a(-5) is divided by p.
3
Let w be (3 + 55/(-3))/(12/(-414)). Let r = -404 + w. What is the remainder when r is divided by 32?
29
Suppose 4*k + 6 = 5*k. Let j(p) = 65*p**2 + 30*p + 86. What is the remainder when j(-2) is divided by k?
4
Let g(p) be the second derivative of -5*p**3/6 - 19*p + 2. Suppose 4*j = -76 + 188. What is the remainder when j is divided by g(-4)?
8
Let s = 233 - 91. Let i = 177 - s. Calculate the remainder when i is divided by 20.
15
Suppose -4*u + 740 = -2*y, -53*u - 9 = -50*u. Let g = -241 - y. What is the remainder when g is divided by 69?
66
Let q(y) = -18*y + 61. Let k be q(18). Let h = -151 - k. Calculate the remainder when h is divided by 29.
25
What is the remainder when -5*27/(-18)*(-2)/(-3) + 78 is di